diff --git "a/data/dm_maths/full_data_1/1342_11255.jsonl" "b/data/dm_maths/full_data_1/1342_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1342_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(k) = -417*k - 2. Let h(f) = -f. Let m(y) = -h(y) + t(y). Let x be m(-3). Suppose 5*n - x = 3*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541977*u**3 + 541975*u**3 - 1083955*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b + 8. Let p(z) = -9*z + 9. Determine -7*j(w) + 6*p(w).\nAnswer: 9*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3305931 to the nearest integer?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*h - 10*h**2 - 5*h**2 + 16*h**2 - 3*h**2 + 2 in the form x*h + l*h**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13496865 is divided by 35518.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 6) to base 11\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*q**2 + 1\/3*q**4 + 1\/3 + 0*q + 0*q**3.\nAnswer: (q - 1)**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((8\/(-4))\/34). Calculate the highest common factor of 34 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 3\/8, -4 in decreasing order.\nAnswer: 4, 3\/8, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52 and 279.\nAnswer: 14508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a**4 - 2*a**3 - 15*a + 16. Let k(z) = 5*z**4 - z**3 - 5*z + 5. Let m(c) = 7*k(c) - 2*y(c). What is the second derivative of m(o) wrt o?\nAnswer: 60*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*87\/30)\/((-159692)\/830 - -193).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 less than -0.00379258383?\nAnswer: -634.00379258383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 102\/6067 or 0?\nAnswer: 102\/6067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*s = 185*s - 560. Calculate the highest common factor of s and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640 is divided by 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -22, -18?\n\"Answer: 4*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*o + 12265 - 6182 + 42*o - 6080.\nAnswer: 123*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1762 + 1?\nAnswer: -1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*i**3 + 19028*i**2 - 10544*i - 8448.\nAnswer: -4*(i - 528)*(i - 1)*(9*i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5281, 20902, 46861, 83158, 129793?\nAnswer: 186766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(3 - 5 - -4). Solve 4*o - 4*i + 16 = 0, r*o + 11 = 3*i + i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, and 1 p when three letters picked without replacement from {d: 2, u: 4, s: 3, p: 8, z: 2}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -892. Let g(x) = -811. Let f(o) = -11*g(o) + 10*r(o). Let t(w) = w**2 - 9*w + 11. What is 22*f(n) - 2*t(n)?\nAnswer: -2*n**2 + 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b + 10. Let k be f(-2). Let h be 537\/k - (-10)\/100. Solve 0 = 4*q - h + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 15 = -3*h. Let m = h - -22. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from zzzssqggsug.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(47740\/(-315))\/(-124)?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wss when three letters picked without replacement from {s: 6, c: 3, i: 3, a: 1, w: 3}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 13029.174 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*t + k + 9, 49 = -2*t - 5*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 7*y**5\/2 + y**3\/6 - y**2. Let p be (4\/32)\/((-1)\/(-8)). Is c(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Suppose 111 = 45*r - 42*r. Suppose r*p + 8 = 39*p. Solve 0 = 5*m + x + p, k*x - 5 = m - x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 7*r**2 - r - 2. Give b(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2)*(105\/10)\/3. Find the common denominator of g\/(252\/200) - 6\/27 and 3 + -5 - 145\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220.1*-0.44.\nAnswer: 96.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (252\/24)\/3*(56\/1421)\/(-2)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/39)\/((-2910)\/88270)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33240 is divided by 5530?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -254649, -509235, -763825, -1018425, -1273041, -1527679, -1782345, -2037045?\n\"Answer: -a**3 + 4*a**2 - 254591*a - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 6650355.\nAnswer: 6650355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3177 is divided by 186?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -667 - -504. Let v = w + 247. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19444.91 millilitres?\nAnswer: 19.44491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 1, h: 2, b: 1, g: 1, y: 1}. Give prob of sequence ybl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3227 - 2187. Suppose 138*s = 143*s - c. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071 take away -963?\nAnswer: 962.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + i - 5*w = 5, 2*i + 1 = -w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + -132.9. Let x = b + -0.33. Let s = x + 0.13. Sort 0, s, 17 in descending order.\nAnswer: 17, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2509300 and 58650.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9663502*b**3*m**2 - 11*b**3*m - b**2*m**2 + 2*b**2*m + 406*m**2 - 6166*m wrt b?\nAnswer: 57981012*m**2 - 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1588*x - 596*x - 3852*x - 669*x)*(-x**3 + 6*x**3 - 3*x**3) in the form v*x + i*x**2 + a*x**3 + n*x**4 + w and give n.\nAnswer: -13410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1936703 is divided by 129100.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -110, -430, -1052, -2078, -3610, -5750, -8600, -12262?\n\"Answer: -17*o**3 - 49*o**2 - 54*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1047 + -246. Let v = j - 346. List the prime factors of v.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:09 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/5 (b) 3 (c) -0.3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*m = -199*m - 8. Let q = 8 - 6. Solve 6*t - q*t = m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y + 37. Let l = 22001 + -21989. Determine p(l).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 - 3*m**3 - 546*m**4 + 547*m**4 + 4 in the form k + o*m**2 + v*m**3 + u*m**4 + s*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 4, w: 2, h: 2, z: 1, s: 2}. What is prob of picking 1 l and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 o when four letters picked without replacement from xofoo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c3 (base 16) to base 14.\nAnswer: -a1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/28 (b) -15 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/15, 1\/10, -12\/11, 2, 0?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214375 and 1250.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 176*z**3 - 2*z**2 - 3*z + 19. List the prime factors of g(5).\nAnswer: 2, 3, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 61*r - 79. Is m(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/16 - (-31)\/(-16). Let w = 1\/1830 - 1017\/610. Let z = 4 + -2. Sort z, g, w.\nAnswer: w, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 2*a**2 + 0*a**2 + (0*a - 2*a + 0*a)*(0 + 0 + 12*a))*(-28*a**2 - 4 + 6 + 12*a**2).\nAnswer: 400*a**4 - 50*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 2:28 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 11) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 6*b**2 - 3*b - 3. Suppose 6*g + l = g - 34, 2*l + 8 = 0. Let m be c(g). Let s = 194 + -74. What is the highest common divisor of m and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.108303 hours to nanoseconds.\nAnswer: 21989890800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(sqrt(119)*1)\/sqrt(7))**2 + -1*(1 + sqrt(1088)) + sqrt(1088) + 5*((sqrt(1088) + 1)**2 + sqrt(1088)).\nAnswer: 120*sqrt(17) + 5721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1284.0002884 - -1284. Round z to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29534, 59065, 88582, 118079, 147550, 176989, 206390?\n\"Answer: -i**3 - i**2 + 29541*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:37 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(57)\/sqrt(3))**2 + ((2 + sqrt(171))**2 - sqrt(19)) - ((sqrt(475) + 0)*-6 - -6*(-1 + sqrt(475))).\nAnswer: 11*sqrt(19) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x + x - 2*x + 8. Suppose -3*o = -4*r - 48, -1234*r - 25 = -4*o - 1233*r. Calculate t(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36995?\nAnswer: 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.020207*-0.05\nAnswer: 0.00101035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*u + 7 = 152*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*o - 4*o + 2*o)*(-12*o - 17*o + 17*o)*(-2*o + 0*o + o) - 45*o**2 + 45*o**2 - 53*o**3 as v*o**3 + r*o + k*o**2 + m and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*c = -11 + 14, -5*a + 8 = -3*c. Calculate the least common multiple of 1\/(-1 + (-24)\/(-22)) and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2 - (1 - ((7 - 5) + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5746)\/26 + (149 - 27)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122812, -244700, -366588, -488476, -610364, -732252?\nAnswer: -854140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 - (6615\/(-72))\/7)*-8. What is the third smallest value in 0, r, -1\/3, -2.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -167, -420, -1119, -2486, -4743?\n\"Answer: -37*j**3 - j**2 + 9*j - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3202, -3936, -4670, -5404, -6138?\nAnswer: -6872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k = -5*l - 29*k + 17, 1 = -k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 - 20*k**3 - 5604*k**2 - 60732*k + 232848 = 0. Calculate k.\nAnswer: -21, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 8*m + 4. Let s = 67 + -54. What is the remainder when s is divided by r(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3373, 12983, 28825, 50899, 79205, 113743, 154513?\n\"Answer: 3116*z**2 + 262*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-1)\/((-287)\/(-49) + 6\/(-1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2296503516.\nAnswer: 2, 3, 191375293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1945, 14796, 49681, 117616, 229617?\n\"Answer: 1836*c**3 + c**2 - 4*c + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*10\/5)\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8904, -36790, -83312, -148476, -232288, -334754, -455880?\nAnswer: -595672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/2, 1\/4, 4650798 in ascending order.\nAnswer: -2, 1\/4, 3\/2, 4650798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(21) - sqrt(189)*-6) + sqrt(21))\/(sqrt(192)\/sqrt(4) + sqrt(3)).\nAnswer: 21*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 69232\nAnswer: 1\/17308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2799976 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 + 11)*(-42)\/(-4). Find the first derivative of 24*a - 4 - b*a - 2 wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmtttmt. What is prob of sequence tttt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 66 and 3892970.\nAnswer: 3893036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3695 divided by 739.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + 2*sqrt(5) - -6*(sqrt(5) + 0)))**2 + (-1 + (1 + sqrt(180) + sqrt(180))**2 - (sqrt(180) - (3 + -2 + sqrt(180))**2)).\nAnswer: 430*sqrt(5) + 8926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -5*n**2\/2 + 5. Let o be d(3). Let a = o + 47. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 2. Let k be h(9). What are the prime factors of (-80)\/k - 72*-3?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -2*s**7\/7 + 2*s**6 + 17*s**3 - 602. What is the third derivative of h(i) wrt i?\nAnswer: -240*i**3 + 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 241247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -26. Let c = r + -4. Solve 8 = -3*m + b, 3*b = c*b - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 4*i - i + (1 - 1 - 1)*(36*i - 3 + 5*i + 7*i) + (1 - 3 + 3)*(-i - i + 3*i).\nAnswer: -48*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2030 (base 6) to base 13.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0 + 6*y - 2*y + 13*y + 1 + 2*y - 1 + (-4 + 4 + y)*(6 - 4 - 3) - 2 + 2*y + 2)*(0*y + 0*y + y).\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*sqrt(28).\nAnswer: -8*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 789, 1470, 2627, 4278, 6441, 9134, 12375?\n\"Answer: 3*o**3 + 220*o**2 + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d + 4*k - 12, -2*d + 3*k = -33. Let g(c) = -2 - d*c - 7 + 9. Let m(a) = -4 + 5 - 1 + a. What is g(m(f))?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - 5*z**3 - 7*z**2)*(z**2 - 2*z**2 + 0*z**2) - z**5 - 4*z**5 + 4*z**5.\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004114398 rounded to six decimal places?\nAnswer: 0.000411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4))**44)**(-17) assuming f is positive.\nAnswer: f**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 7*j - 4. Let q be t(-6). Let u = q + 0. Which is the nearest to -0.1? (a) 5 (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 227*f - 1107. Let g be p(5). Solve -106 = 13*z - g for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-4 - 3 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2\/21*n**3 + 2 + 0*n + 1\/7*n**2. Factor q(c).\nAnswer: 2*c*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:07 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21867.9042 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**8)*v**3\/v*v*v*v)\/((v\/(((v\/(v*v**(-3)))\/v)\/v))\/(v**(-2\/19)*v)) assuming v is positive.\nAnswer: v**(264\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2189769*a**3*u**2 - 351*a**3*u + 100627*a + u wrt u?\nAnswer: 4379538*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/6 - 55\/(36960\/1141)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hohhochhhchh. What is prob of sequence hoc?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4*y - 309 = 0. Suppose 5*x - 23 = -y. Round x to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/(-48))\/(2\/(-6)))\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 = -0*n + 5*y, -3*y = -5*n + 4. Suppose 3*b + 0*b - n*g = 69, 2*g = b - 19. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = z - 2. Suppose -3*i - z = -0*i. What is the common denominator of 37\/8 and 1\/(18\/(i*1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49438 and 42969428.\nAnswer: 816419132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 39, 34, 27, 18, 7, -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128421 or 128423?\nAnswer: 128423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (5 - 0) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7901.\nAnswer: 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*h + 25, 5*y = -2*h + 2*y - 17. Let i = 1\/407 - -21\/407. Is i less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*1 - (2 - 1). Let s = -221 + 381. Suppose 4*f + l = 20, -5*f = 4*i - s. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35743851514 from -20.\nAnswer: -35743851534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, r: 10}. What is prob of sequence rrrr?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3553167?\nAnswer: 3, 29, 40841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 i when four letters picked without replacement from {y: 2, e: 6, b: 1, i: 3}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/48 - -85*7\/(-1400)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 24. Let j be -20 + 4 + s\/4. Let y be (-1 + 547\/(-5))\/(j\/4000). Round y to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412 (base 9) to base 16.\nAnswer: -14f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 5*a + 9, -a - 33 + 34 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 2*b**2 + 3. Let k(y) = y**3 - 3*y**2 + 4. Determine 3*i(q) - 2*k(q).\nAnswer: q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:48 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1152285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (19325550\/(-10268) + 28\/238). Let h = b - 1880. Is 1 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -29 (b) 2\/7 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifizzzzzf. Give prob of sequence fi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2938)\/(-10) - 4\/(-40)*2. Suppose 3*f = -4*r + c, 102 = f - 4*r + 4. Calculate the lowest common multiple of f and 18.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -694114 bigger than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9))**9*(j\/(j*j**16*j*j)*j)\/((j*j**(1\/12))\/j) assuming j is positive.\nAnswer: j**(-229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = 2*t + 7*u - 12*u, 0 = 3*t - 5*u - 692. Let g = t + -77. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*p*w**3*y + 1406*p*w**2 + w**3*y - 1090*w**3 + 65*y wrt w?\nAnswer: -198*p*y + 6*y - 6540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-70)\/10)*9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -294848.63 and 5.\nAnswer: -1474243.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/((i*i\/(i\/(i*i\/i**(2\/5)*i)))\/i)))\/i**(1\/7))\/(i**(1\/4))**(-39)*((i*((i*i**(-2))\/i*i)\/i)**(2\/7))**(-2\/9) assuming i is positive.\nAnswer: i**(15461\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttzzeetytzzzzyoz. What is prob of picking 1 e and 1 o?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 2. Let q be h(4). Suppose w = q*b - 99, 3*b - 2*w - 146 = 2*w. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6514 (base 10) to base 4\nAnswer: 1211302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -845*t**2 - 25*t - 20. Let p(q) = 211*q**2 + 6*q + 5. Let j(s) = 9*p(s) + 2*w(s). What is the units digit of j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 76\/54*3. Let s be (38\/152)\/((-2)\/4). Sort s, n, -0.3.\nAnswer: s, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97263*n - 46863 wrt n.\nAnswer: -97263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -345441 (base 9) to base 14.\nAnswer: -55821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 0, -0.2, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*v**3*z + 613*v**3 + 52*z wrt z.\nAnswer: 4*v**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3ab7 - -5?\nAnswer: 3b00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -22*t**3 - 3*t**2 - t - 13. Is i(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/3 + 8*1\/24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408211 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9499*p + 142478. Give x(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, r: 1, u: 3, y: 1}. Give prob of picking 2 l and 1 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1202663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let g = -44 + 58. What is the lowest common multiple of g and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5 + 72*q**4 + 156*q**3 + 80*q**2.\nAnswer: -4*q**2*(q - 20)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15834 = -1744*k + 2353*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68975 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c - 7*c - 9*c. Let o(r) = -r**2 + 2. Let t be o(0). Let p(n) = -6*n**2 + 2*n**2 + n**t. What is h(p(i))?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 198, 297, 562, 1077, 1926, 3193, 4962, 7317?\n\"Answer: 14*z**3 - z**2 + 4*z + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(-3)*(-15)\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 3387 - 3213. Suppose i + 663 = 8*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 313*k + 642. Calculate the remainder when 3101 is divided by s(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102815749?\nAnswer: 151, 349, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + (93 - 93).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 34. Let m = r + 103. What is the greatest common factor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 7:41 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 8*a**2 + 9*a - 43. Give q(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 6:05 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 66162.011 and -1305.\nAnswer: 64857.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 3882 = 3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 2\/11 (b) -5\/2 (c) -15\/8 (d) 1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*f - 8*f = -155 + 48 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 382017 times -26?\nAnswer: -9932442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -26*x**3\/3 - 59*x**2 - 14*x - 5. What is the units digit of y(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*i + 3, -5*i - 6 = -3*i + 4*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-103347)\/(-2) + 11\/22. Suppose -g = 4*l + 64150. Let b = l - -40756. Round b to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 10 + -2 + -1 + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/20)\/(-6 + (-36)\/40). What is the nearest to 3 in q, -1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55432395 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33058357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*o*v**2 - 25*o*v + 16182*o + 4*v**2 + 7*v wrt v?\nAnswer: -6*o*v - 25*o + 8*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 15. Suppose 4*p - 4*x + 4 = r, 0*p - 2*p - 2*x + 18 = 0. Suppose 4*s - 8 = p*v + 3*s, 4*s + 22 = -2*v. Is v greater than or equal to -22\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4006801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 83, -6 in decreasing order.\nAnswer: 83, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 21 + 44. Let p = q - -194. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3*n - 10)*((3*n**3 + n**3 - 2*n**3)*(-n + n - n) + 0*n**4 + 0*n**4 + n**4 - 2*n**4 + 0 + 0).\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89.785? (a) 4 (b) 1\/4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 1628.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0315 + 57.9685. Let t = u - 58.00827. What is t rounded to four dps?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8 - 4 = 0. Let n(r) be the third derivative of r**4\/4 - 2*r**3\/3 + 7*r**2. List the prime factors of n(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 i when three letters picked without replacement from zucvzcciic.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**4\/16 - 11*r**3\/6 + 101*r**2\/8 - 39*r\/2 + 582. Suppose s(n) = 0. What is n?\nAnswer: -26, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 70 = w + w, -3*q + w = -40. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**5\/20 + 11*w**4\/8 - 47*w**3\/3 + 213*w**2\/4 - 261*w\/4 + 910. Factor h(p).\nAnswer: (p - 3)**2*(p - 1)*(p + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -46*c - 414. Give q(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 67, 5, 1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**1*l))\/l**(-7)*(l**(-1))**(3\/8))**3 assuming l is positive.\nAnswer: l**(135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 12:21 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1710?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13053, 26106, 39159, 52212?\n\"Answer: 13053*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/((-5320)\/(-2000)) - -17?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912 - 7822*q**2 - 1823 + 911.\nAnswer: -7822*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2)*-19*-1. Suppose -z - 37 = 7*b. Is 158\/(-5)*20\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x + 184. Calculate the lowest common multiple of u(3) and 108.\nAnswer: 8964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 2. Let r be n(-7). Suppose 0 = r*b - 17 + 2. Solve -2*k + 16 = b*k + 3*v, 0 = -2*k + 2*v + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 131?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67308097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -48, 0, -10, -11 in increasing order.\nAnswer: -48, -17, -11, -10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2131 (base 4) to base 11.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h - 4*y + 15, -3*y = -9. Suppose -17 + 8 = -h*r. Suppose -23 - 17 = -3*w + d, r*w = 5*d + 20. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b - 106*b + 209 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -575.842476 to the nearest integer.\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.85528229 to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/591, -349, 5?\nAnswer: -1\/591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 + 4*p - 5*p**2 + 3*p - 171.\nAnswer: -5*p**2 + 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 15) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.210237cm?\nAnswer: 2102370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 5*n + 6. Let w be t(-6). Let l = -22.84 + 23.04. What is the third biggest value in 2\/43, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (0 + sqrt(1573)))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-463)\/926*-1*(4 - 2)*40. Solve 136*t - 144*t - i = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5412.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 47. Let m be f(0). Suppose -2*s - 13 = -m. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -309970.\nAnswer: 2\/154985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*r - 4*n, -3*n = -r - 2 + 4. Suppose -r = -5*b - 3. Is (12 + 3\/(-3))*b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -2\/13 (b) 1 (c) -1\/6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11000011210221 (base 3) to base 7\nAnswer: -24045535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 l when four letters picked without replacement from slwls.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2660 + -2665. Let o be 1\/(3 + -2)*1. Sort 8, o, d, 0.\nAnswer: d, 0, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -561, -933, -1367, -1863, -2421?\nAnswer: -3041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/5))\/(b\/((b*b*b*b**(-3)\/b)\/b))*b\/(b*b\/b**(2\/9))*b*b*b**(-8))**(-1\/15) assuming b is positive.\nAnswer: b**(386\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*g = g + 3033450. Is 189 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 8*d - 7*d - 4*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61280918 divided by -61280918?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1026, -2, -1\/4, -8, 0.1, -4\/9 in ascending order.\nAnswer: -1026, -8, -2, -4\/9, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00620386 to 5 decimal places.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -2 (c) 1\/7 (d) 0.2 (e) 269 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -266660310 less than -266660309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(165)\/sqrt(3) - (((sqrt(330) + sqrt(330)*-1)\/sqrt(6) - sqrt(55)) + sqrt(55)))\/(sqrt(99)\/(sqrt(324) - (sqrt(324)*-2 + sqrt(324)))))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095871 - 11?\nAnswer: -11.0095871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -213 - -2341\/11. Let n be 9\/(-2)*(-8)\/3. Let x = n - 7. What is the nearest to t in 0.2, x, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88419293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1663465 and -67\/6.\nAnswer: 9980790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-13)\/((-156)\/488))\/(-6) and (46\/8)\/(1\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 4 + -2)\/(316\/474). Solve 2*b - 2*q = -12, o*q - 8 = b + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -72\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2. Suppose 2*t - 9 = -t. Suppose -6 - 3 = -t*j. Let x(s) = j*s - 6*s - 2*s + 14*s. Calculate i(x(w)).\nAnswer: -81*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d + 100 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q**3 + 2*q**2 + 6*q + 10. Let l(c) = -7*c**3 - 3*c**2 - 7*c - 10. Let x(h) = 6*l(h) + 5*y(h). What is the tens digit of x(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -682600?\nAnswer: 6825d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1920 and 67776?\nAnswer: 677760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0 + 0*y + 0*y**3 - 1\/12*y**4 + y**2. Let q(u) be the third derivative of u**5\/12 - 3*u**2. Determine q(x(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o + 22*o + 2 = 5*z, -5*o = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 27. Suppose 0 = 5*b - 5*j - 60, -d*b - 3*j = -13 - 0. Sort -3, b, -4.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*2)**2*4 + -2 + sqrt(2) + 1)*4.\nAnswer: 4*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/55 - 524\/22. Let u be y\/(-9)*(-21)\/(-14). Suppose -u*c + 147 - 15 = 0. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Suppose 59*l + 3*l - 62 = 0. Which is the nearest to 1? (a) l (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a - 48. What are the prime factors of j(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 998291.\nAnswer: 7, 17, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 36 (b) 190 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -0.1, 1\/2, 0.01?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20463323 (base 7) in base 9?\nAnswer: -3225885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b. Suppose 4*v = -b*v + 20. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 11*w - 19. Let i be s(6). Suppose 4*b = -i*b + 2*b. Determine d, given that -3*d**2 + 9\/4*d**3 + 9\/8*d + b + 0*d**4 - 3\/8*d**5 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 195 = -2*x, -r = x - 20 - 90. Calculate the remainder when x is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4746757376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*g - 20, -2*f + 4*g + 10 = -28. Suppose -f*b + 12*b = 3. Let z(s) = s**3 + 5*s**2 - 6*s + 1. What is the remainder when z(-6) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1, 4, 489824 in increasing order.\nAnswer: -1, -2\/7, 4, 489824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4643751*m - 4421441 wrt m.\nAnswer: -4643751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02944 times 6?\nAnswer: 0.17664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*h = -109*h + 9709 - 5715 + 12796 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdlclxlcdxddlc. What is prob of sequence ld?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9980 divided by -11.\nAnswer: 9980\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-36))\/g**(-25))\/(g*g**(-9\/2))**(-3\/20) assuming g is positive.\nAnswer: g**(-421\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -5, 0.4, 10, 0.1 in ascending order.\nAnswer: -5, -3, 0.1, 0.4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4103 + -0.4403. Which is the nearest to -1? (a) n (b) -89 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -40\/9, 4, 0.08, 0.4 in descending order.\nAnswer: 4, 0.4, 0.08, -2, -40\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 0.5, 23\/20 in increasing order.\nAnswer: -4, 0.5, 23\/20, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-102*p + 47*p + 41*p)*(-4*p + 0 + 0) to r + j*p + g*p**2 and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 7*d**3 + 18*d**3 - 11*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-16) - (-2)\/(-4). Suppose -o = 5*c - 20, -2*c + 3*o - 4 + 12 = g. Suppose -n + 3*n + 168 = 3*z, -5*z - c*n = -280. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 451, 5.9?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 30206127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*o = -30 - 16, -o = 2*z + 17. Let x be (-142)\/z - 3\/15. Let a(d) = d**3 - 13*d**2 - 12*d - 10. Is 18 a factor of a(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-2 + 1)\/(-1)). Let f = -71 + 30. Let g = f - -40. What is the biggest value in 3, g, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/24 and 162 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q - 11 = -b, 0 = 3*q + 6. Suppose 4*g - 3134 - 5579 = -b*u, -3*u + 4355 = 2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + (-57)\/(-6) - -7)\/(((-190)\/(-100))\/19).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, m: 15}. What is prob of picking 4 x?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.192 + -0.392. Let z = r + -33. Let t = 4.92 - 8.92. What is the third smallest value in t, -7, 2\/19, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - -705.04. Let r = 87030.79 - 86331. Let d = r - a. What is d rounded to 1 dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/6)*m*m\/(m**(-1\/3)*m))**(-18) assuming m is positive.\nAnswer: m**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 - 13*o - 3. Suppose -5*b = 6*i - i - 20, -4*b = -4*i - 16. Let q(w) = -4*w**2 + 7*w + 1. Let s(f) = b*c(f) + 7*q(f). Is s(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839110 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10857098628 - 21.\nAnswer: 10857098607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2902 - 1662?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447957313 to the power of 1\/3, to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/11 + 84692*n\/11 - 2708096\/11.\nAnswer: -2*(n - 42314)*(n - 32)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -903, -1788, -2675, -3564?\nAnswer: -4455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3266\/7*t**2 + 1182\/7*t**3 - 58719\/7*t - 9*t**4 + 1\/7*t**5 - 109503\/7.\nAnswer: (t - 23)**3*(t + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzm. What is prob of sequence mz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2047 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-465*a + 236*a + 220*a + 429*a**2)*(-2*a + 5*a + 4*a) to z*a**2 + d + j*a**3 + p*a and give j.\nAnswer: 3003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.79 - 4.26. Let v = x - 6.62. Round v to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*b - 1278. Let i = b - -215. Solve i*u - 3*u = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -20. What is the first derivative of -12 + 3*r - x*r + 2 + 9*r wrt r?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1050, -1937, -3416, -5487, -8150, -11405, -15252?\n\"Answer: -296*s**2 + s - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -9c24?\nAnswer: 9c29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6928*i + 3382 wrt i?\nAnswer: -6928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-2)\/(-3 - -1). Let q = c + 7. Calculate the greatest common divisor of 42 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-33)*(3\/12)\/(9\/24).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5467 + 10567. What are the prime factors of d?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 7*h + 2*f - 2492, 4*h - 4976 = -2*f. What is the remainder when h is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42\/5 - 3\/5*j**3 + 3\/5*j + 42\/5*j**2 = 0. What is j?\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeejlqxjeaj. Give prob of picking 1 j and 2 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -42. Suppose 4*h - 32 + r = 0. Solve -h*j + 3*f + 22 = -0*f, 2*j - 4*f - 6 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1409, -2805, -4201, -5597, -6993, -8389?\nAnswer: -9785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 1:46 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42757*b - 85642*b + 42885*b - b**2 - 13*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (-11 + (59 - 6))) + 0 + 9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(3*4\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -455768639*t**3 + 194*t**2 + t + 11914.\nAnswer: -2734611834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 10*s. Let k(q) be the second derivative of -q**4\/4 + 2*q - 7. Calculate g(k(c)).\nAnswer: -18*c**4 - 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 761474 + 4?\nAnswer: 761500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -163*f**6\/30 - 55*f**3\/2 - 3*f + 93. What is the second derivative of z(x) wrt x?\nAnswer: -1956*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.591442 millilitres?\nAnswer: 0.008591442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j = 2*r + 116, 168*r + 60 = 5*j + 162*r for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*-3*sqrt(605) + 3)*5.\nAnswer: 13 + 990*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1b72e4?\nAnswer: 1b72df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-90)\/(-48) - 2).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -9, 2 in descending order.\nAnswer: 2, -9, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16739018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d + 8. Let g(c) = 13*c**2 - 7*c - 9. Let m be g(-4). Suppose -m*w = -228*w + 6. Give o(w).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22423 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1676 + 1680. Let z(q) = -4*q - 3. Give z(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 884 - 926.7. Let f = q + 47.7. Let r = 0.3 + -0.5. Which is the nearest to -0.2? (a) f (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z = -72*z + 5*l + 69, -8 = 2*l. Let p(k) = -k**3 - 5*k**2 + 5*k + 1. Let r be p(-6). What is the highest common factor of z and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -692305 rounded to the nearest one thousand?\nAnswer: -692000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12264 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79216392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 53?\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t - 8. Let b(z) = z + 1. Let m(i) = -8*b(i) - f(i). Let j(h) = -27*h + 2. Let n(g) = -28*g + 2. Let w(q) = -3*j(q) + 2*n(q). Calculate m(w(u)).\nAnswer: 50*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -9, 2, -5.\nAnswer: -9, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 6, -14, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/8))**(-36)\/(u**17\/(u*u**(-20))) assuming u is positive.\nAnswer: u**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 0 - 20*u - 6 + 1 + 2. Let b be x(-4). Find the second derivative of -l + b*l**5 - 2*l - 72*l**5 wrt l.\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -541\/7 + 78. Let q be -3*-1*2\/6. What is the common denominator of r and (-114)\/24 - (0 - q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let y(c) be the second derivative of -c - 21\/2*c**2 + 0*c**4 + 0*c**3 - 7\/60*c**5 + 0. Let m(a) be the first derivative of y(a). Give v(m(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 142*v**2 - 9*v + 15. List the prime factors of j(4).\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13472286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8*u = 13*u - 40, 0 = 5*g + u + 58. Let d be 4 + (g - 1)\/6. Determine o, given that -27\/5*o**3 + 0 + 12\/5*o**d - 3\/5*o**5 + 18\/5*o**4 + 0*o = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 82*c + 1. Suppose 0 = -4*n + 21 - 1. Suppose n*t + 29 = 34. What is the tens digit of b(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*s - 3 + 15*s - 34*s + (s - 14 + 14)*(-1 - 1 + 6).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*c - 1. What is the least common multiple of 4 and 1*c + (-8 - -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007557242 rounded to five dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -212. Let x = 375 - w. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 39426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-27)*z*z*z\/(z\/(z*((z\/((z*z**(3\/13))\/z))\/z)\/z*z)))**17 assuming z is positive.\nAnswer: z**(-5355\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 2*z - 47. Let v be c(-11). Suppose 0 = 5*t + 5*k - 140, 2*t = -k + v - 0. Calculate the greatest common divisor of 9 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 7 - (-3 + -24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10683960 by -19355.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/30 + (57\/5 - -1). What is the units digit of ((-680)\/(-6))\/(-2 + 28\/h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -5112975725.\nAnswer: -5112975725.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 15 = 5. Suppose v*k = -5*q + 20, -2*q + k + 26 = 3. Calculate the smallest common multiple of ((-8)\/(-6))\/((-2)\/(-12)) and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 407258*j**4 + 1836957.\nAnswer: 1629032*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 1\/((-2)\/4). Suppose 9 + y = 3*m. Solve -8 = t + t, 3*a = m*t + 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/10)\/(4\/10). Suppose -5*v - g*i = -2435, -3*v - 3*i = -8*v + 2435. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3741*a**2*w**2 - 2*a*w + 1466*w**2 wrt a.\nAnswer: 7482*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 33613130 to the nearest 10000.\nAnswer: 33610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38976 - 38974. Solve 9*x - 8*x = v, 0 = -k*v - 2*x + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.043*-22.\nAnswer: -0.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 6) to base 13\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.1 (c) -4 (d) 3\/4 (e) 3 (f) -234\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11)\/((c*c**(-3\/4))\/c))**(-2\/13)*((c*c*c*c\/(c*c**(-1\/2))*c)\/(c*c**1\/c))\/(c\/(c\/(c\/(c*c*c**(-1)*c))))**(13\/2) assuming c is positive.\nAnswer: c**(2835\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13240 - 33709 - o**2 + 10983 - 41264.\nAnswer: -o**2 - 50750","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -306, 1, -5, 2\/11, -0.2, 4, -0.02?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + 1.04. Let k = -0.06 + 0.06. Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/1061 - 2077\/15915. Put i, -15, -0.1 in decreasing order.\nAnswer: -0.1, i, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -3\/217 (c) 57 (d) 6 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a + 357. What is the remainder when b(36) is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 12 = -q + f, -5*q - 4*f - 20 = 0. Let j(z) = -z**3 - 3*z**2 + 3*z + 2. Give j(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -2)*(-1)\/(-2). Let i(q) = q - 1. Let p be i(1). Suppose -2*x - 2*x = p. Is o < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -16*z - 5261. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99791.95 millennia in centuries?\nAnswer: 997919.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4*f + 11 + 9 = 0, 5*c + 5*f + 5 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2 + 1 + 0*v)*(6*v - 6*v**2 - 6*v).\nAnswer: -18*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21\/2 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Let f be y\/5 - (-13)\/(-15). Let l be (-1)\/(-3) + (-1)\/21. Which is the nearest to l? (a) -0.1 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23272*-0.857.\nAnswer: 0.19944104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-9)*(72\/(-20) + 4). Let j = -4.7 - 0.3. Which is the third smallest value? (a) 0.02 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. Put -5, -3, o in ascending order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50\/21 - -12\/7. Let h = 898\/21 - 130\/3. Which is the closest to y? (a) h (b) 0.3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621, 1247, 1871, 2493, 3113, 3731?\nAnswer: 4347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.48 (c) 0.4 (d) 197 (e) -1\/2 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n*n\/(n**(8\/3)\/n)))\/n)\/n*n**(-35))\/(n**(-12))**(-16) assuming n is positive.\nAnswer: n**(-688\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7 = 2*l, 5*l + 40 = 5*s - 0*s. Which is the second biggest value? (a) 0.5 (b) l (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 4*w + 8. Let c be j(5). Which is smaller: c or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 3) to base 5\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295 - -299. Let b(x) = x**3 + 8*x**2 + 6*x - 4. Let s be b(-7). Solve h - 19 = 5*w, 5*h + m = -s*w - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*w**3 - 26467*n**3 + 802*n*w**3 + 3*n*w wrt n?\nAnswer: 6*n*w**3 - 158802*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88586 is divided by 4920?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -8.7, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1040041013, 2080082026, 3120123039, 4160164052, 5200205065, 6240246078?\n\"Answer: 1040041013*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-60) + (-28)\/(-96).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -713548\nAnswer: -2854192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(54)*3)\/sqrt(3))\/((sqrt(12) - sqrt(300) - sqrt(12))\/sqrt(2)) + 5)**2.\nAnswer: -36*sqrt(3) + 1597\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -224? (a) 14 (b) -4 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 + -28) - 28 - -29.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -2, 0.3, -0.86, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1 + 0*m + 0*m - m. Let p be a(-1). Suppose 2*c + p*c - 8 = 0. Solve -4*l = -8, 0*n + c*n = 2*l - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 = -2*w - 0*f, 0 = -3*w + 3*f. Let p be -22*w\/(-12) - -2. Let v be ((-2)\/(-4))\/(10\/(-4)). What is the biggest value in -4\/7, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42249, 42264, 42279, 42294?\nAnswer: 42309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1575 and 1.48?\nAnswer: 1573.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:16 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1658547 is divided by 5036.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.55 + 2.05. Let h be ((-632)\/12)\/((-2)\/1). Let w = h - 27. What is the closest to w in 0, s, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 = -104*x + 114 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 3*f + f)*(38*f + 14*f + 21*f) + (-5*f + f + 3*f)*(-3*f - 3*f + 4*f)*(-2 + 5 - 4) in the form r*f + z + g*f**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33911, -67821, -101731, -135641, -169551?\n\"Answer: -33910*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.55417 and 0.1?\nAnswer: 0.055417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14402 - 14401.99954598. Round h to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 167, 168, 169, 170, 171?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13041.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 69d5a3?\nAnswer: -69d5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1898 + 1898.0000141. Round c to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6683, 13265, 19753, 26153, 32471?\nAnswer: 38713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:53 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1376 and 301.\nAnswer: 9632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5262*c**4 + 16*c**3*d + 8*c**2*d + 1001*c*d + 5*d wrt c?\nAnswer: 126288*c + 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - g**2 + g**2 + (-1244*g**2 - 796 + 621*g**2 + 624*g**2)*(12 - 12 - 6*g) as y*g**2 + x*g + t*g**3 + b and give x.\nAnswer: 4776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 924528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -i - 3*j + 5*j, i + 2 = 5*j. Suppose 0 = -5*k + i + 7. Suppose -3*o + 19 = -o + m, 3*o = k*m + 23. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167846946 divided by -1629582?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 5:46 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6997\/2066 - -117\/1033. Let k = 2 - 3. Let l = -1 - k. What is the nearest to -0.2 in b, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 824 and 0.03.\nAnswer: 24.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 98510.4 kilograms?\nAnswer: 98510400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 3*n**2 - 7*n + 14. Is l(4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 6*v - 6. Let f(p) = -33 + 33 + v*p. Let c(x) = -x. Let i(j) = 2*j. Let a(y) = c(y) - i(y). Calculate a(f(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i = -86*i + 128 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0063622396 to 4 decimal places.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*n - 48 = -287*n + 152*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/30 - 5*t**3\/6 + 4*t. Let h(a) be the second derivative of c(a). Let v(o) = 2*o**2. Determine h(v(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1876, 7806, 17788, 31822, 49908?\nAnswer: 72046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-170)\/(-7) + (-18)\/63 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -392427 and -14.\nAnswer: 5493978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 83 = -108 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 1174 = 4*j + 4*d, -3*j = 3*d - 1797. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 3*g**5\/20 + 158*g**3\/3 + 182*g**2 + 1513*g. What is the derivative of w(c) wrt c?\nAnswer: 9*c**2 + 316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -505.57 rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15700 + -23?\nAnswer: 15677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*j**2 + 2 - 2.\nAnswer: -214*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -16731*s + 1. Let p(g) = -99*g. Give o(p(y)).\nAnswer: 1656369*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 11. Let f be o(-6). Suppose 3*t - 2*h - 34 = -t, -42 = -f*t + 2*h. Let d(n) = 5*n + 19. What is the units digit of d(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2190 + -34394?\nAnswer: -36564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -562108 bigger than -3\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 484*j**2 - 2615 wrt j.\nAnswer: 968*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*s = -s - 5, -5*s - 38 = -4*f. Let i(l) = 0*l - 2*l - 5 + 3*l. Let r be i(f). Solve 0 = -4*z + 2*z, 9 = 3*c - r*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24179782 is divided by 706.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y - 17. Let v(z) = 3*z - 8. Let c(m) = -4*l(m) + 7*v(m). Determine c(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127108 <= -127108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 364 and 70?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - 156*z**2 + 156*z**2 + (2*z - z + 0*z)*(0*z**3 - z**3 - 27*z**3) - 2*z**4 + 4*z**4 + 0*z**4.\nAnswer: -23*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 = 4*f - 6*p + 2*p, 2*f - 4*p = 542. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 + -11111000?\nAnswer: -101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(3) + sqrt(2))*-4 + (sqrt(16)\/sqrt(72))**2 - (sqrt(16)*-4*-1)\/sqrt(8).\nAnswer: -12*sqrt(2) + 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*u**4 - 3*u**4 - 33*u**4 + (4*u - 4*u + 2*u**3)*(0*u + 2*u - 3*u) + 11*u - 11*u + 4*u**4 to d + m*u**3 + l*u**2 + w*u**4 + f*u and give w.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5456103 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 3*a**2 + 3*a**2)*(0 - 1 + 2)*((-3 - 4 - 1)*(-2 - 4 + 4)*(-35 - 30 + 53) - 2 + 2 - 2).\nAnswer: -194*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, -1, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkkxwxxxxxwkxwxxxwxx. What is prob of sequence wwxw?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 5*v**2 + v - 6. Let h be 5\/(-2)*-2*(35 + -34). Give s(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13151021 (base 6) to base 12.\nAnswer: -18b471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16 - -0.34. Which is the nearest to -2\/13? (a) m (b) 3\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 769745.8 - 3066.206.\nAnswer: 766679.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/14 - (-1)\/7. Suppose -s*j = 3*u - 4, -5*u = -u + 8. Factor 2*i**2 + 2*i**4 + 16*i**3 + 15*i**2 - 3*i**j.\nAnswer: 2*i**2*(i + 1)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 139*g + 6807. Let n be b(-42). What is the greatest common divisor of 408 and n?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/245*-10)\/((-2)\/70)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/28 and (20\/240)\/((-1)\/43).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*p + 34. What is the common denominator of -63\/16 and (1\/p)\/((-8)\/(-670))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4105618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.9 in 3, 1\/3, -0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m + 44. Let y be a(-7). Suppose y*x + 8001580 = 301580. What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 - 240\/21)*(-14)\/4. Let a(k) = -k + 1 - 4 + 2. Let n(y) = y**2 + y + 1. Let m(j) = s*n(j) - 3*a(j). Calculate m(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6880636*p**4 + p + 12417862.\nAnswer: -82567632*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -11. Suppose 2*b = 125 - c. Suppose 3*f - 5*p = f + 29, 5*f + 3*p = 57. Calculate the greatest common divisor of f and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/14 + -13\/28. Let w be 2\/63*-6*(-3)\/(-2). Which is the third biggest value? (a) i (b) -2\/13 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/45 and -69\/1057610?\nAnswer: 9518490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 13*g + 17. Let h(j) = j**2 - 6*j + 8. Let x = 24 + -11. Calculate x*h(a) - 6*u(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.231?\nAnswer: -0.0231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -10 - (-23)\/(3059\/273434) - (-4)\/38 and 198.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48068868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -23575\/10867 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 24*b**2 + 15*b - 175. Give z(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 225 divided by 5\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1621549358 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:03 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -k - 14 + 24, -k - 2 = -3*j. Suppose 6*n - 59054 = n + k*g, 2*n - 4*g - 23624 = 0. Round n to the nearest one hundred.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -170\/410409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 14*x**2 + x + 6. Let z be y(-15). Suppose -4*d = -u - 595 + z, -3*u + 15 = 0. Let t = d - 101. Let i(h) = -h**2 - 9*h - 6. What is i(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*p - 5*w, 2 = 5*p + w - 1. Suppose -4*j - g + 24 = 0, -g + p*g + 9 = j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16649, -16642, -16635?\nAnswer: -16628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = 2. Let r(d) = -3*d - 2*d + 1 + 4*d. Let q(h) = -47*h + 6. Let o(w) = 11*w - 2. Let g(m) = 9*o(m) + 2*q(m). Calculate t*g(k) - 3*r(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25486990.\nAnswer: 2, 5, 23, 110813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 413*t + 1328*t + 29597 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -1\/2*a**2 - a - 2 + 2\/3*a**3. What are the prime factors of r(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szu when three letters picked without replacement from {u: 1, s: 4, z: 7, o: 1, t: 2}.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 1 + 8 - (1 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 21 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffgninnnnnfinnn. What is prob of picking 2 f, 1 n, and 1 g?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/3*(-1 - 0). Let a = -0.1 - 0.3. Let n = -0.8 - a. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(1539) + -1))**2.\nAnswer: -16200*sqrt(19) + 1386000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -282 less than or equal to -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 15*a - 9. Let c be h(-6). Let w = 93 + c. What is the highest common divisor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13226 divide 2124783352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35.4? (a) 2\/9 (b) -3 (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9346863181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 273 and 138.\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -1\/600*l**6 + 12*l**2 - 1\/300*l**5 + 0*l**3 + 0*l + 0*l**4 + 0. Solve b(w) = 0 for w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 4 (c) -19 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.30926 months in millennia?\nAnswer: 0.008109105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (379\/3032)\/((-1)\/((-16)\/(-6)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 3)*(0*r + 2*r + 0*r) + r + 4 - 4 + r + 3*r - 2*r - 6*r - r + 4*r + (1 + 3 - 1)*(-3784*r - 705*r + 1911*r) to the form t*r + j and give t.\nAnswer: -7738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 737 = -2967. Let n = 225 - z. Calculate the greatest common factor of n and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/24*6\/(-15))\/((-102)\/2040). Let v(d) = -d**3 - d**2 + 15*d - 20. What is v(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 + -94.95. Let z = f + -7.55. Round z to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 4, r: 1, w: 1}. What is prob of picking 1 x, 1 r, and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152440 and 56032?\nAnswer: 10365920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Suppose s*t + t - 7 = -2*j, 11 = 3*j + 2*t. What is the third derivative of o**2 + 2 - 3*o**6 - 2 - j*o**2 wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1037 + 1093. What is the highest common divisor of k and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + -14.7. Let r = 6.36 + 8.81. Let a = r + o. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.19 - 12.19. Which is the closest to 0.1? (a) -1 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 876 + 1531 = -569. Calculate the remainder when 3096 is divided by k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**4*o**(-3)*o*o)**(9\/8)\/((o\/(o\/(o*o**(-1\/4)\/o)))**(-4)*(o*o\/(o*o*o**(-6)))\/o*(o\/(o*o\/o**(2\/9)*o)*o)\/o) assuming o is positive.\nAnswer: o**(101\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*r**3 - 600 + 600 + (19 - 19 + r)*(-4 - r**2 + 4) as a + h*r**2 + b*r**3 + i*r and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*o + 208, v - 3*o = 40 + 2. Solve v*z - 1 = -2*y + 60*z, 4*y + 3*z = -7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 1. Let y be d(7). Let x be (-4624)\/y - (12\/(-22))\/3. Let i be x\/(-8) + 30\/40. What is the greatest common divisor of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 17. Let c be r(22). Suppose 0 = 4*q - z - 22, -q = -6*q - z + 23. Find the second derivative of q*a**c + 3*a + 8*a + 8*a wrt a.\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5412*n - 16 + 5412*n - 23*n**2 + (-4 - 1 + 3)*(-3*n**2 + 2*n**2 + 3*n**2) to d*n + j*n**2 + m and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12127 and 38.\nAnswer: -12089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**2 - l**5 - 5*l**2 - 8*l**3 + 15*l**5 + l + 11*l**5 - 28*l**5 + 7*l**5 + 16*l**2 - 16*l**2 + (-l + 5*l - 3*l)*(0*l**4 + l**4 - 3*l**4).\nAnswer: 2*l**5 - 8*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/14)\/(3\/(-7))*-6. Suppose 3*j - 5*x - 26 = 0, y*j = 2*x + 9 + 7. Suppose 251 = 2*v + j*g - 407, 8 = -4*g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*p - 2 = 0, -10 = -2*k + 2*p - 0*p. Solve k*m = 5*m - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.048 + 273.048. Let p = 272.9999233 - n. What is p rounded to six decimal places?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -119*c**4\/4 + 375*c**2\/2 - 79. Find the second derivative of u(j) wrt j.\nAnswer: -714*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8488971 micrograms in grams?\nAnswer: 0.0000008488971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110585, -110580, -110573, -110564, -110553?\nAnswer: -110540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 - 89. What is the smallest common multiple of a and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.87 - -1.87. Suppose 3 = -q - 2. What is the closest to 0 in b, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14)*((-308)\/(-220) - (-96)\/(-69))*7?\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -5507, 1\/7, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 21. Let z be o(-11). Let k = z + 7. Let f(j) = -j**2 - 2*j - 3. Let r(c) = -c**2 - 3*c - 5. Calculate k*r(a) + 5*f(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5939 - 208*c**3 - 5939.\nAnswer: -208*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i - 3\/2*i**2 - 1\/3*i**3 + 3. Give b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/103, 1, -57 in descending order.\nAnswer: 1, 0.3, 2\/103, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-2))\/(1144\/1430)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:54 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**16\/((o**(-2)*o)\/o))**11)**17)**(-1\/34) assuming o is positive.\nAnswer: o**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:36 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2) - (-7 - 2). Suppose l + 24 = 16. Let r = l + g. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**7\/168 - f**6\/12 + 5*f**5\/16 + 5*f**4\/12 - 10*f**3\/3 - 8*f**2 + 73*f. Suppose m(z) = 0. Calculate z.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74 and 44.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1326 - -927. Let i = p + 365.1. Let n = -34 - i. Is 8 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249571 + 2*o + 249582 + 0*o - o.\nAnswer: o + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 4*n**2 + 16*n + 37. Let z be j(-4). Calculate the highest common divisor of z and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3567 + -3567. Put -1, v, -4\/9, -19 in ascending order.\nAnswer: -19, -1, -4\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 22.9616. Round x to three decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -242 (b) -4 (c) 0.3 (d) 25 (e) 5 (f) 1\/3 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from byisbayaysiiy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7416*n. Let p be h(3). Suppose -48990 = -4*f + v, -4*v = -3*f + 6*f - 36752. Let k = f + p. Round k to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1548 + 1502. Suppose -58 = m - 0*k - 4*k, 2*k - 6 = 0. Is m less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9561 is divided by 3025?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63732 less than or equal to 63732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125 take away 0.0280033?\nAnswer: 2124.9719967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 95564*n + 95562.\nAnswer: 2*(n + 1)*(n + 47781)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -16 (c) -2 (d) 904\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/15)\/1*15. Suppose 3*c = 5*s - 537, 5*s - 4*c - 369 = 167. What is the highest common factor of s and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387\/(0 + (-4)\/(-3) - 117\/351) is divided by 154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -832184 by -208046.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -583 - -590. Suppose -3*w + 2324 = -5*n, 0 = 8*w - s*w + n - 764. Is w a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -229827624.0000049 + 229827662. Let d = u + -38. What is d rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4687, 4680, 4673, 4666, 4659, 4652?\nAnswer: 4645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/4331705?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a1 - -7?\nAnswer: 5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**2 + w**2 + 6*w - 4*w + 2*w**4 wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 11:12 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 4) to base 6\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6829*j*u**3 + 1316*j*u**2 - 7*j - u wrt u.\nAnswer: -40974*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, e: 1, a: 2, f: 1}. What is prob of picking 2 a and 2 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5643, 5663, 5685, 5709, 5735?\nAnswer: 5763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 0*f - f)*(-2 - 1 + 5) - 66*f - 75 + 75 + 4*f - 5*f - f to the form q + w*f and give w.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13347 + 6512. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -10\/13 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*q + 12 = -3*r, 0 = 2*r - 2*q - 14. Suppose -2*l = 3 + 3, -4*i + r*l = -746. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 13*m**3\/6 - 2*m. Let y(s) = 156*s + 3. Let j(r) = 51*r + 1. Let w(p) = -3*j(p) + y(p). Determine t(w(d)).\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2138, -4292, -6420, -8510, -10550, -12528, -14432?\n\"Answer: 2*h**3 + h**2 - 2171*h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*x + 1, -87*k + 92*k + 5 = -13*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 4174155?\nAnswer: 4174152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3982?\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 73? (a) -1\/3 (b) -1 (c) 5 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2371846 + 1116998 = 12*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 36. Let z be (-16)\/14*1\/12. What is the third smallest value in 1\/2, 5, x, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17*z**2 + 3*z. Let x be f(-1). Sort x, -2, 4 in decreasing order.\nAnswer: x, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339164, -338637, -338110, -337583, -337056, -336529?\nAnswer: -336002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**3 + 8*k**3 - 31*k**3 + (-2 + 3*k**2 + 2)*(-3*k + 3*k - 3*k) + k**3 + 2*k**3 - 5*k**3.\nAnswer: -42*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 8*a - 172. Let i(v) = 15*v - 347. Let c be i(a). Sort 5, -28, c.\nAnswer: -28, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 113 = -4*c - v, 5*c + 3*v = 533. Let d(f) = f**3 + f**2 + f + 2. Calculate the remainder when c is divided by d(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/(28\/21). Let a(g) = -g**3 + 15*g**2 - 12*g - 26. Let s be a(14). Put 1, s, 2\/3, r in descending order.\nAnswer: s, 1, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 5 - -18) + -14 + 2 + (2 - -89).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1825.3 (c) 10 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = -2, -5*v + 5 = u. Suppose -2*d + 42 = 4*w, 3*w - u + 1 = -5*d. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -r + 19, -5*j - 33 = -2*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**3 + 161*w**2 - 158*w + 90. Determine t(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7974\/35 + 54641\/240. What is the common denominator of n and -5\/372?\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-36) - 100\/(-36). Suppose -303 - 50 = -i*l - 5*v, 230 = 2*l + 2*v. Calculate the remainder when l is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 1, -31, -97, -209, -379?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (429024\/6976)\/((-3)\/(-2))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3602079310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -269*g**2 - 4722 - 5*g**2 + 271*g**2 + 2367*g.\nAnswer: -3*(g - 787)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 less than -25.6?\nAnswer: -459.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26427151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 - 2) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 36 = -5*z + 2, -4*z + 3*y + 18 = 0. Let j = z + -1. Suppose 3*s - j*n - 47 = 0, 3*s - 43 = -0*s + 4*n. Solve 6*r + s = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 11*y**5\/15 + 6*y**2. Let r(o) = -o. Determine v(r(h)).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l\/(l\/((l\/l**0)\/l))))**(-1\/23))**(-2\/59))**38 assuming l is positive.\nAnswer: l**(76\/1357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 98*a**3 - 4*a**2 + 4*a + 2. Determine k(1).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 339*r**3 - 6510*r**2 + 16500*r + 117000 = 0. What is r?\nAnswer: -130, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Let g(v) = -9*v + 165. Let w be g(18). Let x = 0.9 + -1. What is the nearest to x in w, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 14. Let o be b(6). Suppose 3 = -3*k + o*k. Suppose 0 = 3*v + 2*y, y + 12 = k*v - y. Solve -v*a = -10, 2*h + 0 = -4*a + 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.699 times -1597\nAnswer: -2713.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14603 + 14605. Let q(t) = -2*t + 2. Let s(k) = -3 - 2*k - 2 + 6*k. What is c*s(g) + 5*q(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 18*u**2 + 268*u + 567. Calculate r(-27).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 78243?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1492922\/3 or -497642?\nAnswer: -497642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-175)*-2*(-49)\/(-84).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {n: 6, q: 1, x: 1, y: 9}.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/55 + -63\/220. Let c(y) = 2*y - 42. Let f be c(23). Sort f, -4, q in decreasing order.\nAnswer: f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0487892 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 7 in decreasing order.\nAnswer: 7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 58728809.\nAnswer: 58728809.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1405 - 590. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 60662?\nAnswer: -1\/60662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 18. Let t be k(-16). Suppose 4 = -5*m + 34. What is the greatest common divisor of t and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 603 and 10?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssmsosssooo. What is prob of sequence omoo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1766 and 47.79.\nAnswer: -84397.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2951 - 2982. Which is bigger: 37 or x?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5949*q**3 + 365*q**2 - 62.\nAnswer: 35694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99235898*t**3 - t**2 - 471962218*t.\nAnswer: 595415388*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 - 6*y**2 - 3*y**2 - 7*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -836240.9896 - -380.\nAnswer: -835860.9896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 140*g + 6*g**3 - 69*g - 71*g.\nAnswer: 6*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 522 - 244?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 36. Let g be 96\/15*(k - -3). Let f = g + 36. Solve f*r - 5 = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*n**3 + 61*n**3 - 216*n - 18 + 20 - 384*n - 33*n**3 in the form b*n + r*n**3 + p*n**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1639, -1525, -1411, -1297, -1183?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 4*h**6\/15 - h**4\/12 + 7*h. Find the third derivative of d(n) wrt n.\nAnswer: 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12080 - 12080. Which is the smallest value? (a) -4\/3 (b) -3\/17 (c) -5 (d) o (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 1152.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 - 4*c + 203 - 609 + 192 - 2*c**3 + 172 to t + p*c**2 + w*c + f*c**4 + m*c**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/5 + 774*m**3\/5 - 95676*m**2\/5 + 3196168*m\/5 + 14436624.\nAnswer: -2*(m - 134)**3*(m + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.238379 to three decimal places.\nAnswer: 0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 d, and 1 c when three letters picked without replacement from {d: 1, c: 1, e: 3, o: 4, u: 5, q: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491677 is divided by 5476?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y + 44*y + 6 = 0, -4*x + 63 = y. Solve x*f = 60*f - 315 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*-5*(-3*sqrt(847)*5 + sqrt(847) - sqrt(847)) + -3 + -4)*2)**2.\nAnswer: -46200*sqrt(7) + 19057696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2910*j**2 - 109*j + 9.\nAnswer: -5820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.8998889 times 0.4\nAnswer: -1.15995556","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 638bd + 2?\nAnswer: 638c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 1 - 5 - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 61*c**2 - 2684*c - 671. Let f(j) = -4*j - 1. Give -1342*f(r) + 2*o(r).\nAnswer: 122*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202022 + 210120?\nAnswer: -2221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 3654 - 3726 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450283 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4280*x + 77044. Calculate h(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/5, -1, 3567?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6888638+2\nAnswer: -6888636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1127*h = -2126*h - 1221*h - 46799 + 431563 for h.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 25 = 5. Let s(i) = -2*i**3 + 9*i + 13. Let t be (-2)\/((-4)\/(-22)) + -2. Let a(z) = z**3 - 4*z - 6. Calculate r*s(q) + t*a(q).\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u**(-1))**(-14)*(u\/(u\/(u**(-2\/3)*u)))**(2\/31)\/(u**(-1\/11)*u**(2\/11)*u*u) assuming u is positive.\nAnswer: u**(-30761\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 66 = 2*x, -2*q - 1039 = -5*x - 895 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, and 1 g when three letters picked without replacement from {g: 1, f: 1, n: 1, p: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -7 + -9 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73738?\nAnswer: 2, 7, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y. Suppose -6*j + 2*x - 2 = -3*j, y = -j - 3*x + 14. Suppose r - 35 = 5*m, r = j*r + 4*m + 10. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25139535*y + 25139535*y + 86*y**2 + 103*y**2.\nAnswer: 189*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 115*o - 260426 = -117*o, -o = 4*m - 260429. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009857 rounded to four dps?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h - 28*h + 3*h - 45*h as c + s*h and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jutse. Give prob of picking 2 j, 1 s, and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2\/5, -20, 6\/217, -1\/2?\nAnswer: 6\/217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**10\/151200 - l**9\/30240 + l**8\/20160 - l**5\/4 - 13*l**2. Let m(c) be the third derivative of z(c). Factor m(t).\nAnswer: t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9.9 (b) -0.4 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.599 + 1.6. Round j to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 16*l**2 - 34*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 100, 91, 82?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 4. Let z be v(-3). Let y = -271 + 274. Let n = y + z. Solve -2 = -5*x - w, -5*x + x + n*w + 10 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - 17.03. Let v = h - -16.974. Round v to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 2*k**4 - 2*k**4 + (-2*k**3 - k**3 + k**3)*(k**2 - k**2 + k**2) - 3*k**5 + 0*k**5 + k**5 + k**5 - 2380*k**3 + 856*k**3 + 1272*k**3.\nAnswer: -5*k**5 - 252*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m**2 + 10. Let f(k) = k**2 - 1. Let y(d) = 22*f(d) + 2*s(d). Let i = 12 + -14. Give y(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 2\/1 - (63 + 1). Let q = 190 + l. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(-1)*n)))\/n**7)**(3\/41) assuming n is positive.\nAnswer: n**(-21\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27199.7 + -27200. Let x = -1.89 - -1.8. Let u = x - -0.1. What is the nearest to 0.1 in u, 5, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/105906416 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*w - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/159 and -103\/30?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-6)*23843*(-6)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 0. Suppose 14 = 5*i - p. What is the smallest common multiple of 1 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 163*p - 2874. What is f(179)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) -8\/7 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1313.7 + 1314. What is the closest to 2 in 19, 2\/13, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2455 = -t + 6*t + 2485 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and 46.3855.\nAnswer: 46.4255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*m - 2 + (3*m - 6*m + 4*m + 0*m - 2*m - m + (1 - 4 + 2)*(-3 + 3 + m))*(-1 - 2 + 5)*(-2 + 2 + 2).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14 - 16*s**3 + 5 - 1 - 12 wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104289313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/7 - 17480*l\/7 + 192522\/7 = 0.\nAnswer: -8751, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 44.00017. What is v rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 23*g**2 - 2*g - 4. Let q(v) be the first derivative of -8*v**3 + v**2 + 3*v - 2015. Determine -4*q(n) - 3*x(n).\nAnswer: 27*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 10*v - 1. Let x be p(-5). Let r = -13 + 7. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13622 - 21400164\/1571. Let o = 59712\/10997 + k. Find the common denominator of -3\/11 and o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o - 5 + 5 + (-4 - 2 + 3)*(0*o - 4*o + 3*o)*(5 - 3 - 1).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**4\/3 - 8*n**3 + 19*n**2 - n. Let g be o(-7). Solve i - 10 = -2*j, -j - 1 = i - g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 4*t - 1. Let r(d) = -d**2 + 7*d - 4. Let o(i) = -i**2 + 8*i - 5. Let a(h) = 3*o(h) - 4*r(h). Let q(u) = 3*a(u) + 2*l(u). What is q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123737319623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 140, 270, 474, 776, 1200, 1770, 2510?\n\"Answer: 4*j**3 + j**2 + 49*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 8*a = 48*m - 17, -a - 14*m - 8*m + 29*m = 8*m + 14 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*m - 159*m - 78*m - 26*m + 326*m.\nAnswer: -241*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**3 + 0*z**3 - z**3 + (-5*z**2 + 0*z**2 + 2*z**2 + (0*z + 4*z - 3*z)*(-2*z - 2 + 2))*(2*z + 3*z - 3*z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265090 by -7.\nAnswer: -37870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -70. Sort b, 1, -6 in descending order.\nAnswer: 1, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 498400 and 380030.\nAnswer: 30402400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 507 + -5?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -562, -1127, -1694, -2263, -2834?\nAnswer: -3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6}. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 675*r**4 + 30*r**2 + 1731. Let v(b) = -169*b**4 - 8*b**2 - 433. Let c(l) = 4*m(l) + 15*v(l). What is the derivative of c(y) wrt y?\nAnswer: 660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(0 + 1) - 0. Let w(d) = d**3 - 5*d**2 + 6*d - 4. Suppose 3*q + 3*q - 24 = 0. Let o be w(q). Solve -5*v - 8 = z + k, o*z - 5*v = 37 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -6696.\nAnswer: -2008.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40843, -39651, -38457, -37261?\nAnswer: -36063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/1269081 and -107\/18.\nAnswer: 2538162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-25)*-5)\/1. Let b(u) be the first derivative of 1\/2*u**q - 2 - 4*u. What is the first derivative of b(x) wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*s = 32, 2*s + 14 = -2*q + 6*s. Let k(f) = f**2 + 8*f + 3. Let o be k(-9). Let g be 3\/(o\/20) - 3. Solve -q = -i + l, -g*i = 2*i + 2*l + 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5343*i**3 - 5341*i**3 + 528 + 63 to the form y*i**2 + x*i + a + r*i**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7))*1 - ((sqrt(21)\/(sqrt(6)\/sqrt(2)))**2 + sqrt(7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 9. Let b be g(-7). Let d be 14 - 2 - (-12 + 13). Let x be 485\/45 + (-1 - d\/(-9)). Is x < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 16. Let s be 3\/((-2)\/(40\/(-12))). Calculate the highest common factor of s and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.038279 - -0.0398. Round t to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-5 - (-10 + (16 - 0))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:20 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 2*i**3 + 3 + 14888*i - 14888*i. Let o(s) = -3*s**3 - 3*s**2 - 5. Determine -5*o(w) - 8*u(w).\nAnswer: -w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 602)*(829940\/(-6))\/17. Round y to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(138\/12)\/(-23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:08 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2244 = -9*j. Let p be (-11246)\/(-30) + (-4)\/4. Let v = j + p. Which is the second smallest value? (a) 4 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 6, 12, 24, 42, 66, 96?\n\"Answer: 3*i**2 - 9*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07208 * -0.2.\nAnswer: -0.014416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.40336*3.07\nAnswer: -7.3783152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-39))\/(3*12\/(-45))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*o - 75*o + 1404 = 96*o. Calculate the lowest common multiple of 25 and o.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361872 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 880199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -525, -783, -1041?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4, -145 = -9*s + 4*s + 5*y. Suppose -s = 2*c + 3*c. Let u be 34*(-3)\/c - -3. Solve -4*d = d - u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 1\/6*c**3 - 2*c**2 + 0*c + 1\/24*c**4 + 0. Let u be -2*(-5)\/15*(-6)\/(-4). What is p(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -13.1 (c) -804\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - 5*v + 2 + 0)*(1198 - 454 - 201)*(2 - 2 - 2*v) to the form g*v + k*v**2 + q and give k.\nAnswer: 4344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 129911550.3 seconds?\nAnswer: 214.80084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 9:12 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3628928 plus -74008.3?\nAnswer: -3702936.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27202811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12679359 by 4609.\nAnswer: -2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6511, -6256, -6001, -5746, -5491?\n\"Answer: 255*x - 6766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 0*u + 0*u**4 + 7\/5*u**5 - 61\/2*u**2 - 2\/3*u**6 - 179 + 0*u**3. Find the second derivative of y(q) wrt q.\nAnswer: -80*q**3 + 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*z - 3, -8*z + 3*z = 5*u + 30. Let q = u - -5. Let l be (-6)\/(-9)*15*q. Solve -l = 4*o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -22210132?\nAnswer: -22210320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v + 0*v + 5*v - 2. Let y be l(3). Let k(w) = -5*w - 1. Calculate k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -0.7, -43, -5?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.6, 2.6, 5, -3, 34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-0.3.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174586171?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 22 = 22. Suppose -17*z + 22*z = k + 355, -2*z + k + 145 = w. Calculate the remainder when z is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 679135 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4870*q - 4870*q - 234*q**2 to x*q + b + j*q**2 and give j.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*x + 111*x - 64*x as d + h*x and give h.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05294962 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**3 - 111*a**2 + 230*a - 7. Give z(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0.2, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.6 + 9.7. Let r = -9.85 - x. Which is the biggest value? (a) 1 (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 1. Let f be u(-9). Let y = f - 0. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3588195?\nAnswer: 3, 5, 13, 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-7) - 2)\/(4\/(-196)). Let x = o - -112. Let v(a) = 2*a**2 + 2*a - 2. Let n be v(2). Calculate the highest common factor of x and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1921834.02000015 + -1921842.02. Let q = -0.47 - -8.47. Let b = q + k. What is b rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:02 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 + 11?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3222 + 20214?\nAnswer: 23436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 7:53 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4033\/282 - 69\/47. What is the common denominator of -7\/54 and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1156, 1162, 1168, 1174, 1180?\n\"Answer: 6*s + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2350272*u**3 - u**2 + 122282465*u wrt u?\nAnswer: 14101632*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10))**(-8\/11)*((r*r**(2\/3))\/r)**(2\/27) assuming r is positive.\nAnswer: r**(6524\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 401, 1412, 3397, 6680?\nAnswer: 11585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 + 2*z - 2. Let s be r(-2). What is the lowest common multiple of 6 and -1*s*7 - -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgctcttathccatht. Give prob of picking 1 h and 1 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*m**2 + 433*m - 59*m**2 + 83*m.\nAnswer: m**2 + 516*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 11*f**2 - f + 20. Let z(c) = -c + 2. Let w(q) = h(q) - 6*z(q). Let o be w(5). Solve -2*d + o = -0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5300 in 0.3, 0.2, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3) - (-70)\/(-15). Let t = 7 - k. Let v = -7 + 38. What is the remainder when v is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7639350, 15278701, 22918052, 30557403, 38196754, 45836105?\nAnswer: 53475456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4757382 minutes to microseconds.\nAnswer: 28544292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 742 = -206. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7668)\/6390)\/((-198)\/10)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 685660 and 740.\nAnswer: 25369420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 2. Let g(t) = -5*t - 5. What is 2*g(s) + 5*z(s)?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-159)\/(-6) - -2. Let l = 78 - c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) 4 (b) 1\/6 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 9:28 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1. Let c(m) = -3 - 7 + 6 - 1 - m. Let a(z) = c(z) - 2*i(z). What is a(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120670390?\nAnswer: 2, 5, 2633, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g**2 + 818*g + 19343. What is l(137)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + 46. Let y = 59.5 - r. Which is the fourth smallest value? (a) 1\/3 (b) 2 (c) -0.2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 65*l**2 - 6*l + 10*l - 59*l**2.\nAnswer: -124*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3 = 6*m. Let k be (-4)\/m*36\/(-24). Suppose -4*s + 17 = 5*o - 48, -4*s - k*o = -74. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -2, -4, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + a - 1. Let g(d) = -4*d**2 + 6*d - 15. Let l(i) = -g(i) + 6*x(i). Find the first derivative of l(t) wrt t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -442*q**2 + 252*q + 1310. Let i(u) = 201*u**2 - 126*u - 655. Let m(k) = 11*i(k) + 5*w(k). Suppose m(z) = 0. What is z?\nAnswer: -5, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -524647652 or 1?\nAnswer: -524647652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzyoobyz. What is prob of sequence booy?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1598*i - 728. What are the prime factors of d(-10)?\nAnswer: 2, 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4164 and -150.\nAnswer: -4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 30 + 37 = h + 68, -4*h - 46 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 14*k - 33. Let q be t(-11). Let x(b) = -2*b**3 - 3*b**2 + 1. Let i be x(-2). Let r be 5 + (1 - (-2)\/(-1)). Sort r, i, q in decreasing order.\nAnswer: i, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1434\/1673)\/(26\/1001)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49126.94ml to litres.\nAnswer: 49.12694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 - (-30 - 9). Let t = l + -22. Is ((-27)\/t)\/(2\/(-28)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + u**2 - 3*u + 1. Let k = 13 + -11. Let y be s(k). Let f = y - -36. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(27))*-1)\/((sqrt(18) + 1*sqrt(18) + sqrt(18))\/sqrt(2) + sqrt(9) + sqrt(9))*1.\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5731 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.13554 + 622.63446. What is w rounded to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8749 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**6\/15 - 28*o**5\/5 - 235*o**4\/3 + 1112*o**3\/3 - 585*o**2 - 5143*o. What is q in k(q) = 0?\nAnswer: -45, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.647144nm in millimeters?\nAnswer: 0.000008647144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 16*k - 15. Let v be j(17). Let g(x) = -x**2 + 3*x - 1. Determine g(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -26*o + 10. Suppose 5*r = -5, 6*f = 5*f - 2*r + 4. Let m(p) = -f + 2 - p + 6*p + 2. Let a(y) = -11*m(y) - 2*n(y). Determine a(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1325, 8, 2 in descending order.\nAnswer: 1325, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*z + 9 + 84*z - z**2 + 1 - 27 + 17.\nAnswer: -z**2 + 438*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 643 + -637. Let z(i) be the second derivative of -i**4\/12 + 2*i**3\/3 - 8*i. Give z(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3854293 + -550.\nAnswer: 3853743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11101311 + -33?\nAnswer: -11102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 96148, 96090, 96032, 95974?\n\"Answer: -58*s + 96206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2 + 1 + 5*b**2 - 8 in the form x*b**2 + i + p*b and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/5473 + -498091\/131352. Let a = 4\/5035 + 69467\/20140. What is the common denominator of j and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-174)\/(-15))\/((4\/10)\/1). Let t = 33 - a. Suppose -o = -6*o + 20, 0 = t*l - o - 208. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15086228?\nAnswer: 2, 19, 198503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25078 - -1003199\/40. Let y be 3 + (0 - 39\/24). Let m = p - y. Which is the second smallest value? (a) 1\/2 (b) m (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -8. Let g be (3\/6)\/(2\/z). Solve -4*f - 13 = -5*u, -2*f - u - 6 = -g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -805 != -807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3\/58, -21, -4, -0.49 in ascending order.\nAnswer: -21, -4, -0.49, 3\/58, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j. Let y(f) = 5*f**3 - 4*f + 2. Suppose 0 = i + 3*i. Suppose -2*k + 2*l - 6 = 0, l + i = 2. Calculate k*y(x) + 4*a(x).\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 595.1131um to meters.\nAnswer: 0.0005951131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:17 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 less than 7039738?\nAnswer: 7039191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 3:33 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 8. Determine b(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (15 - 34) - (-4 + 2 + 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(112) + 3) - sqrt(448)*-3*5.\nAnswer: 15 + 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.97 + 0.03. Let f = 0.9 - -0.1. Which is the biggest value? (a) f (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 10165 (c) 114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 4*y**2 + 2*y - 2. Let h be n(-3). Let x be h\/(-37)*(-4)\/(-2). Let i = -121\/185 - x. Sort -0.5, i, 0.2.\nAnswer: i, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*t**2 + 0*t + 10*t**2 + 0*t.\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10065, -20125, -30185, -40245, -50305, -60365?\nAnswer: -70425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7307 = 5*b + 2*w - 7323, 3*w - 14 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 4*y - 2*b, 5*y + 259 = b + 855. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -250 + 446. Let t = f + -85. What is the remainder when t is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62243923*x**2 + 124487854*x**2 - 62243923*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*k - 53*k**3 + 28*k + 32*k - 82*k as s*k + r*k**3 + t + h*k**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 105\/13, -0.5, 3, -4 in decreasing order.\nAnswer: 105\/13, 3, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2220*m = -665*m - 55980 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.46247 to one dp.\nAnswer: -68.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -576308 and 22.\nAnswer: -576286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Let i be (-2 + h)\/((-2)\/26). Let u(b) = 2*b**2 - 3*b. Let p be u(8). What is the greatest common factor of p and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 4*j + 3. Let m be d(-4). Suppose -4*v - 4*c + 1 = -79, 4*v - m*c - 87 = 0. Does 21 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.5 - 9.5. Let p = b + 5. Let u = -6.8 - p. Is u at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**2 - b**4)*((-1 - 1 + 1)*(-2 + 1 - 1)*(-3*b + 5*b + 0*b) - 15*b - 15*b - 9*b).\nAnswer: 35*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71795.3 grams in micrograms?\nAnswer: 71795300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33806 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 23, 80, 169, 296, 467, 688?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -154\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25235332 (base 6) to base 16\nAnswer: -c6ae8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q**2 + 6*q + 6. Let b(p) = p**2 + 1. Let k(w) = -6*b(w) + s(w). What is the second derivative of k(v) wrt v?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-5) + 234\/15. Let p = u - 7. What is the remainder when 29 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1043*j**2 + 16097*j + 235081646?\nAnswer: 2086*j + 16097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*5.7\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23084223391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-950)\/3990)\/(165\/18)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766576.\nAnswer: 2, 7, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 + 5. Sort -0.4, r, -1 in increasing order.\nAnswer: -1, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25481, 25480, 25479, 25478, 25477, 25476?\nAnswer: 25475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + 8. Let m = b - 2. Let t = 4 + 0. What is the greatest common divisor of t and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j + 9*j + 44*j**4 - 3*j wrt j?\nAnswer: 528*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 855*h**2 - 9154*h**2 - 4*h as q*h + y*h**2 + j and give y.\nAnswer: -10009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8670 divided by 5?\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5433, -5751, -24375, -50433, -83919, -124827?\n\"Answer: f**3 - 3726*f**2 - 13*f + 9171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -666 + 671. Which is the closest to -2\/3? (a) 0.12 (b) -0.4 (c) -1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -86562192?\nAnswer: -86562192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-6))\/(3\/(-4)). Let t(r) = -5*r + 3. Let z(c) = -4*c + 2. Let s(j) = x*z(j) - 3*t(j). What is the first derivative of s(g) wrt g?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*n - 58*n = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 163\/5 + -164\/5. Is k equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/15*(-1 + 13). Let d be o\/(-96)*-4 + 191420\/6. Suppose -3*y + 173794 = -3*w + d, -5*y - 5*w = -236515. Round y to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 513240 + 3112402. Let w = u - 3625643.0999972. Let c = w + 1.1. Round c to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5 - 2 - 4*k**3 - 11*k - 3. Let f(d) = 4*d**3 + 12*d. Let r(l) = -4*f(l) - 6*i(l). Find the second derivative of r(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 + 2*f + 2. Let q = -5 - -3. Let z be p(q). Suppose -37 = z*c - 143. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-15)\/225)\/(1 - (-39)\/(-35)) and 73\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*a - 23*a - 42275 = -283*a for a.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: b\"What is the oth term of 49, 62, 75, 88, 101?\n\"Answer: 13*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31070 = 45*i - 35*i. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**3 - 2*t**3 + 0*t**3)*(152*t - 114*t + 195*t)*(6 - 6 + 7) to the form v + x*t**4 + a*t + c*t**2 + d*t**3 and give x.\nAnswer: -3262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - v - 4*v)*(-24 - 29*v + 39 - 16) to a + j*v**2 + h*v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 8*i**2 - i - 7. Let y be l(-8). Is -9*5\/(-15) - (-47)\/y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -481 + 480.999999741. Round r to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v - 10 = -0 + 150 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w - 176840 = -1045196. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-421*r - 388*r + 1070*r) + 2 - 2 - r - r + 2*r - 3*r - r - 3*r + 3*r + (-3 - 3 + 5)*(-1 + 1 - 2*r) - r + 2*r - 3*r.\nAnswer: -265*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.55 + -0.05. Suppose 122*j - 131*j - 333 = 0. What is the nearest to j in 2, s, 4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 159\/530 + 1677\/10. Calculate the greatest common factor of a and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 2)\/(-3)*10. Is -6 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4 = -24, -f + f = 2*f + 5*p + 22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-245))\/((-6)\/28)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**2*z**4 + x**2*z + 396*z**3 + 188*z**2 wrt z.\nAnswer: -48*x**2*z + 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + 12, -3*o = 4*w - 123. Suppose z - 52 = -3*z. What is the remainder when o is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 437 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 16.3. Which is the biggest value? (a) o (b) -0.4 (c) -1\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120.789*0.2\nAnswer: 224.1578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304376 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15321.37 + -15479.3902. Let f = v + 158. What is f rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/228578 and 42\/212251?\nAnswer: 2971514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/8, -2\/7, 12, -0.5, -1\/18?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 536?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 50. Let j(q) = -10*q + 154. Let n(k) = -j(k) - 4*t(k). Calculate n(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 419 - 367. Calculate the highest common divisor of 1066 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 826*r + 6598. What is p(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11945 rounded to the nearest 100?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-14)\/(-12) + 9\/54).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/5 + 0*v + 2\/5*v**2.\nAnswer: 2*(v - 4)*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.83027kg in micrograms?\nAnswer: 66830270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/209600 and 127\/1140.\nAnswer: 11947200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*u**5 + 0*u**3 - 5\/2*u**4 + 0 + 5\/2*u**2 + 5\/4*u.\nAnswer: -5*u*(u - 1)*(u + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -0.5, -1\/5 in decreasing order.\nAnswer: 43, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 415259 and 2805?\nAnswer: 68517735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-45))\/((-55)\/(-330)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 443 + -378. Let l(b) = -12*b + 2. Let y be l(-2). Calculate the greatest common divisor of y and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (3 - 7) + 4 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/7))\/i**(-5))\/((i**2*i)\/(i*i**(-2\/3)\/i*i))*(i**1*i*i**(-5))\/(i**0*i)**(-2\/7) assuming i is positive.\nAnswer: i**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 65\/20 - (-2)\/(-8). Let l be 35 + 3\/z + -1. Suppose -43 - l = -2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4831 = -4*q - 5*v, -2*q = -v + 1632 + 787. Let w be q\/(-930) + (-1)\/(-5). Determine s, given that 1\/3 + 3\/2*s**2 + w*s = 0.\nAnswer: -2\/3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 3)\/(20\/(-990)). Solve 14*d + 15 = p for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5279*j + 2246 wrt j?\nAnswer: 5279","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13530.11 hours in milliseconds?\nAnswer: 48708396000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/10 of a century in months?\nAnswer: 1560","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 s, 1 k, and 1 r when four letters picked without replacement from rbmsmrmbkmrbrkrm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15115, -15128, -15147, -15172, -15203, -15240?\n\"Answer: -3*d**2 - 4*d - 15108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-3)\/9). Let m be 128\/20*15\/6. What is the common denominator of (f\/(-20))\/(m\/(-1010)) and -145\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1930723 - 5.3073193. Let i = x - -1.114275. Let f = i - -4. What is f rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttheput. What is prob of sequence tuhe?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26\/51 - -10193\/20094. Let q = -1395\/6304 - b. Let p = -45523\/6 + 7606. What is the common denominator of p and q?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 27*c**2 - 16*c - 2146. Calculate f(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + o - 4*o)*(12*o + 3*o + 40*o) - 13*o**2 - 21*o**2 + 20*o**2 + 4*o - 2*o**2 - 4*o.\nAnswer: 39*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9752835 rounded to 3 decimal places?\nAnswer: 6.975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*7\/((-21)\/(-1))*10\/(-6)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 + 17*x**2 + 49*x**2 - 55*x**2.\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -7*f**3\/2 - f - 255. Let q(u) = -33*u**2. Determine q(y(h)).\nAnswer: -14553*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/50 and -101\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -22*b - 19. Let c(z) = 5*z + 4. Let d(g) = -9*c(g) - 2*v(g). Let j(a) = -3*a. Determine d(j(u)).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 443, 0, 2, -0.1, -1031?\nAnswer: -1031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 3*n = -i + 17, 5*i + 5 = -3*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c (base 15) in base 4?\nAnswer: 10023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.552, 16.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1371.\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 75. Solve -d + 5*d - u = l, 0 = -5*l + 2*d - 29 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 2:20 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1205 = 9*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*l + 2*o, 4*o = -3*l + 2 - 24. Which is the closest to 1? (a) 0 (b) -0.18 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, -2\/5, 0.8, -2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3013277805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + w - 10 = f, -5*w + 20 = 5*f. Suppose f*l + 21 = -9. Let o(j) = -98*j - 3. Is o(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34058 - 23355. What are the prime factors of z?\nAnswer: 7, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242744.\nAnswer: 2, 19, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 615 + -417. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4627, 18515, 41829, 74707, 117287, 169707, 232105?\nAnswer: 304619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -32032936*x**2 + 35815*x - 107445. Let k(g) = -7155*g**2 + 8*g - 24. Determine -35815*k(i) + 8*u(i).\nAnswer: -7163*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 5, b: 4}. What is prob of picking 1 b, 1 h, and 1 m?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**3\/7 - 10928*o**2\/7 + 3642*o\/7 = 0. What is o?\nAnswer: 0, 1\/3, 1821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 11. Let w be v(11). Suppose -3*m - 73 + 451 = w. Calculate the highest common divisor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 68*j - 70 + 34*j + 31*j + 24*j + 9*j. Give d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/8 - -1\/8. What is the nearest to p in 0.1, -0.2, -2\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707437 less than or equal to 707430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (5 - (-4 + 2) - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3 = -5*i, -j = -4*i - 0*i + 6. Is 4 a factor of (6 - 9\/3) + i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4*1)\/(2\/2). Let w(t) = -16*t**3 + 9*t**2. Let k(y) = -31*y**3 + 19*y**2. Let h(o) = n*k(o) + 7*w(o). What is the third derivative of h(i) wrt i?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 3 - (-1180)\/210)*(-6)\/(-8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 2*a + 22 - 165.\nAnswer: -2*a - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68912258?\nAnswer: 2, 34456129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485 divided by 1?\nAnswer: 2485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -14 + -6 + -7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:32 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (27\/12)\/(42\/8)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2929 divide 11015500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15725.5 + 189123.2?\nAnswer: 173397.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 46.1572\nAnswer: 43.1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6975425663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 4*o**2 + 4. Let c = -82 - -85. Give t(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7437, 14886, 22339, 29796, 37257, 44722?\n\"Answer: 2*w**2 + 7443*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/261 - (-828116)\/116. Calculate the greatest common divisor of k and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*y - 2*y - 812, -2*p = -2*y + 540. Let u = y + -139. What is the highest common factor of 845 and u?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 32 = -2*a, -3*a + 33 - 7 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 632 and 56801.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) -2\/15 (c) -2\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 36, 32, 16, -12?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3029768 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -527636 or -527637?\nAnswer: -527637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*u + 3752, u - 4*w = 348 + 1508. Is 36 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -16*c**2 - 1. Let p(z) = -1292*z - 1. Give p(r(b)).\nAnswer: 20672*b**2 + 1291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19509 is divided by 290.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x + 4*x - 26 + 8*x + x**2 - 5*x. List the prime factors of u(-16).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*18\/(-99)*-99*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-7 + 1 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 76*r**3 + 64*r**3 + 88*r**3 - r**2 + 94*r**3 to s + b*r**2 + v*r + i*r**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(-3*(sqrt(972) + 1) + 3 + sqrt(192) + sqrt(192) + sqrt(192) + 1))**2 + -1.\nAnswer: -1800*sqrt(3) + 67535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*x = -2*x - 1, 2*x = 6. Suppose 2*f - b*f = 0. Suppose 0 = -f*z + 5*z - 445. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2815 - 2815 - 592*b**2 - 2*b.\nAnswer: -592*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1887 - 355. List the prime factors of o.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 + 8*o - 12. Let d be k(3). What is the biggest value in d, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12054 + -1?\nAnswer: 12053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*y**3 - 279 + 279 + (4*y - 6*y + 0*y)*(-3*y**2 + 0*y**2 + y**2).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/4*42\/(-63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 4. Let b be p(20). What is the highest common divisor of b and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*w = -741 + 1271 + 800 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71093.35 years in months?\nAnswer: 853120.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12615 and 1094170.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.80867s to microseconds.\nAnswer: 59808670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-12 + -1)) + (-7 - 26) - -4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1331, -3, 93, -8 in ascending order.\nAnswer: -1331, -8, -3, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 6*x + 3. Let s be g(-5). Suppose s*q = 6*q + 8. List the prime factors of 3 - q\/(0 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1364*s**3 + 3*s**2 - 12*s + 11. Suppose 56*w - 28 = 28*w. What are the prime factors of b(w)?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-30\/13)\/n)\/n)\/n*n*n**(13\/3))\/((n**(-1\/29)*n)\/(n**(3\/11)\/n)) assuming n is positive.\nAnswer: n**(-20741\/12441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -33.4. Let n = r + -5.4. Suppose -2*u - 14 = 5*u. Which is the nearest to -1? (a) n (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1749*a - 572*a + 261250 = -231*a for a.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*t - 9 = 0, z - t + 0*t = 2. Let q be 3*2 - (z\/1 + -2). Suppose -3*s = -q*s. Solve 0 = -4*x - h - 17, s = 5*x + 5*h - h + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 133 + 273 - 140. Let t(a) be the second derivative of 3*a**3\/2 + a. Determine q(t(h)).\nAnswer: -162*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*sqrt(110)*-3 - sqrt(110) - (((sqrt(110) + -3*sqrt(110) - sqrt(110))*-2 - sqrt(110) - sqrt(110)) + sqrt(110)))\/(-5*sqrt(1210)*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:08 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 7915?\nAnswer: 15830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Let c(n) = 2*n**2 + 10251242*n. What is c(w(v))?\nAnswer: 8*v**2 - 20502484*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.38? (a) 1\/3 (b) -16.2 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 6 + 4*j + 3*j**2 + 3*j**3 - 9*j**2 + 0*j**2. Suppose 2*b + 2*n = 8, -2*b + 4*n + 13 = -1. What is p(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - 5*i - 18, 0 = -4*g - i. Let o be 1\/g + 4\/(-8). Solve 0 + 3\/4*p**5 + 1\/2*p**4 - o*p**2 - 3\/4*p**3 + 0*p = 0 for p.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from fvcoyucccovooov?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 94 = -3*b. Suppose -2*t - 16 = -6*t. What is the remainder when b is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-5\/6)\/o)\/(o\/(o\/(o**(1\/34)\/o))))**(1\/5) assuming o is positive.\nAnswer: o**(7\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from {e: 2, c: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000557615 rounded to six decimal places?\nAnswer: 0.000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -364*h**2 + 391*h + 227*h + 360*h**2 to the form j*h**2 + p*h + d and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -2 - 1 - (11 + -9 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*a**5 + a**2*b**2 - 1353*a*b**2 wrt a.\nAnswer: -1300*a**3 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -1, 5\/9 in descending order.\nAnswer: 75, 5\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 395577 and 4914?\nAnswer: 791154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -8 - 10. Suppose 4*g + 0 = u - 1, 2 = 2*u + g. Suppose -c = -r + u. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/58429 and -179\/29460.\nAnswer: 3505740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17147 is divided by 279.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 1, d: 1, z: 2, m: 1, h: 3}. What is prob of sequence hh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13959535243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -6 (b) -4 (c) 1 (d) 0 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 + 25*s - 7. Let t be (-56)\/(-42) + 40\/6. Let y be m(t). Solve 3*w - 7 = -y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 22*v**2 - 3*v + 858. Let o be h(20). What is the third biggest value in -3, 22, o, -5.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 - (5 + 0 + 15 - (8 - -6)) - -10?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.17693098 to two dps.\nAnswer: -11.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**20*j*j*j**(7\/3)\/j)\/(j**7)**(1\/20) assuming j is positive.\nAnswer: j**(1439\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-420)\/18)\/((-8890)\/(-9525)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/187, 3.664, 11.\nAnswer: -2\/187, 3.664, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 + -6.84. Let k = 10 - 12. Let m = k - l. What is the biggest value in -4, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 (base 9) in base 11?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 66*v + 117. Let w be z(-33). Calculate the highest common factor of w and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -779, -5970, -20065, -47516, -92775, -160294?\n\"Answer: -742*u**3 + 3*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*x**2 - 3*x + 603*x**2 + 3*x + 606*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5570*m + 1918*m - 12145*m as v + c*m and give c.\nAnswer: -4657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -463 (b) -47 (c) -3 (d) 4 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(10*n**3 + 9*n**3 - 13*n**3) - n**3 - 2*n**3 + 8*n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, n: 2, l: 2, o: 2, x: 2, s: 2}. Give prob of sequence ll.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27888)\/110390 - (6\/15)\/(-2)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(4\/3)*k*(k**(-18)*k)\/k)\/(k**(-2\/19)\/k)**17)**(-2\/109) assuming k is positive.\nAnswer: k**(-584\/6213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eccf. What is prob of picking 1 c and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32097, 35356, 38613, 41868, 45121, 48372?\n\"Answer: -w**2 + 3262*w + 28836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 10*b**2 - 8*b + 1. Let c be s(9). Let g be (5\/(-2))\/((-1)\/c). Suppose 9*p = 2*p + 35. What is the greatest common divisor of g and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5 + 2*y**2 + 2*y + 4*y + 1. Let p(t) = -27*t + 940. Let g be p(35). Determine s(g).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98068442 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/5 - 5468*d\/5 = 0.\nAnswer: -2734, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2272029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 2*r + 11328 = 0. Calculate the greatest common factor of 177 and r.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -26824007?\nAnswer: 26824005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*d - 4 + 17, 3*d + 2 = -4*w. Let z(t) = -t**3 - t**2 + t + 1. Let x(o) = 7*o**3 + 8*o**2 - 6*o - 7. Give w*x(j) + 6*z(j).\nAnswer: j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 13*a**3 - a**2 + a + 1. Suppose 3*n = -5*n - 8. Determine c(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from duzouoonguou?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5688871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 430 - 14192\/33. Let t(p) = -537*p - 7518. Let k be t(-14). Sort -2, -0.5, n, k in increasing order.\nAnswer: -2, -0.5, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3508 = -7*u + 6*u, 7*t = -u + 3548. Is 32 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/1155 and 12270\/(-3850) - (-2 + -1) - 0.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(405) + sqrt(405) + (-3*(sqrt(405) + sqrt(405)*2))**2 - ((sqrt(405) + 1)*4)**2) + 2).\nAnswer: -270*sqrt(5) + 26315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/25 (b) 1\/3 (c) -1 (d) -20016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2015838 or -2015874?\nAnswer: -2015838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -478 + 616. Find the first derivative of -z - 228*j**4 + 25 - 43 wrt j.\nAnswer: -912*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2432 (base 5) to base 4.\nAnswer: 11233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-5 + -5 + 7)) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228937*y**2 + 58825*y wrt y.\nAnswer: -457874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10480*4.\nAnswer: 41920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 591990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:37 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 4*r - 2. What are the prime factors of z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y. Let c(x) = -2*x**2 + 5*x**2 - 6*x**2 - x**2. Calculate o(c(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1901178, 1901180, 1901182?\nAnswer: 1901184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0*k**2 - 6*k - 7*k**2 + 3*k**3 + 4 - 4*k**3. Let t be b(-6). Suppose 2*h + 0*h**2 + 4*h**2 - t + 0 - 2*h**2 = 0. Calculate h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -770871\/13 + 59364. Are 66 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22066 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 177*q + 150 - 165 + 8 + 473*q to l*q + c and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w. Let a(c) = 50362*c**2. What is m(a(q))?\nAnswer: 302172*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 1334 + 2794. Let r = 752 + x. Calculate the smallest common multiple of r and 18.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38661965 divided by 5.\nAnswer: 7732393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i + 28. Determine s(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 515 - 515 - 551*j - 4*j - 2*j + 3*j + (j + 0 + 0)*(0 + 3 - 2) to the form w*j + d and give w.\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 6:08 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/590 and -73\/1298.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 + -1)) + -5 + 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h - 6 = 0. Suppose y + 1648 = 7*x - 5*x, -h*x + 2472 = -4*y. What are the prime factors of x?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283.946 + -0.054. Let k = -283.9999393 - w. What is k rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.7 + -0.7. What is the nearest to j in 3, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1013 + -1012. Solve 10*i = -49 - x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.2. Let u = 191 + -185. Let o be u\/(-4) - (25\/10)\/5. Which is the third biggest value? (a) o (b) 0.15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -570681 divided by 1\nAnswer: -570681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03119 + -1386.83119. Round j to the nearest ten.\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - w + 2*w = 13, -3*w = 15. Let b be (20 - 1) + 6\/z. Let s = 299 - 281. Calculate the greatest common factor of s and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15848 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 193 - 196. What is the closest to 1\/4 in 0.5, -2, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 1. Let r(t) = 6*t + 6. Let x(p) = -4*a(p) - r(p). Let l be x(-2). Let y(q) = q + 1. What are the prime factors of y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:03 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*v + 6 - 2, -3*i - 6 = 0. Solve -5*q + 5 = 2*u, v = 5*u - q + 3*q - 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-1)\/(-18)*(108\/2)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/6 - 545866*y**3\/3 + 1091736*y**2 - 6550424*y\/3 + 4366952\/3.\nAnswer: -(y - 2)**3*(y + 1091738)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 103 = -a, -3*h + 293 = 5*a. What is the hundreds digit of (h\/(-2))\/((-7)\/(-56)*-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 701135 or 0.22?\nAnswer: 701135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/7))**(-15)*(u\/((u\/u**(23\/5))\/u))\/(u\/(u\/u**13)*u))**46 assuming u is positive.\nAnswer: u**(-10074\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529679?\nAnswer: 41, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 10:54 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.18? (a) -1 (b) 9\/8 (c) 0.4 (d) 6 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -2)\/(-2) + 1. Let z(p) be the first derivative of -l - 2\/5*p - 2\/15*p**3 + 2\/5*p**2. Determine x, given that z(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l**2 - 2*l - 8. Let u(f) = 141*f - 3521. Let m be u(25). What is o(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 120 + 2*g**3 - 125 - 7*g**4 - g**4 - g**2 + 0*g**3 in the form r*g + b*g**3 + c + i*g**2 + s*g**4 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1083609.\nAnswer: 1\/361203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 4*h - 3. Let c be g(2). What is the remainder when (6\/(-15))\/(c\/(-95)) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 3*c**2\/2 + 1. Let x be (-1 - 1) + (-10)\/(-1). Is f(x) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1292 - -1935. Suppose -4*s = h - 148, 4*h - k = -0*s + s. What is the greatest common factor of 32 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s + t - 1, 2*t + 10 = 4*s. What is the hundreds digit of 1\/(2\/364)*2\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-3 - (13 + -18)) + 7 - (-3 - 107).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**4*s**2 + 4*g**4 - 67*g**3*s**2 - 458*g**2*s - 2*g**2 - 10*s**2 - 2*s wrt g?\nAnswer: 24*g*s**2 + 96*g - 402*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v**3 + 9*v**3 + 6 - v**2 + 2*v**3 + (-v**2 + 2 - 2)*(0*v - v - v).\nAnswer: 4*v**3 - v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:52 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 276083 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-80)*3\/3*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**2 - 7*r**2 + 123*r**2 + 26*r**2 - 41*r**2 + 22*r**2 - 22*r**2.\nAnswer: 86*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.107877 + 0.108. Round z to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3 - 3*c + 0 - 2*c - c**3 - 2*c**2 + 7*c**2. Determine f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 9*g**3 + 13*g**3 + 250*g + 48*g.\nAnswer: 4*g**3 + 298*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29948.\nAnswer: 2, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1596 is divided by 122.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 267, 222, 161, 84, -9, -118?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 5*g**2 - 21*g + 54. Calculate d(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 + 3*u**3 - 2*u**3 + (-2*u + 2*u + u**2)*(5*u - u - 2*u) + 0*u**3 + 0*u**3 - 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*f - 7, -r + 20 = 5*f + r. Let p be 1*19 - f\/2. Let z = p - 11. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 289, 1136, 2547, 4522, 7061, 10164?\n\"Answer: 282*f**2 + f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 - -1))*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11394)\/(-211)*(-4)\/8.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -626796750567284 and 3.\nAnswer: -626796750567281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let r = 1444 - 1442. Let g(w) = -2*w + 13. Let i be g(7). Which is the nearest to v? (a) i (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*r + 2*r**2 - 111300 + 111300 as p*r + h + b*r**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2 + 4 + 8 + 73*o**2 + 17 + 3*o. Let z(c) = 37*c**2 + 2*c + 16. Let f(w) = 3*h(w) - 5*z(w). What is the second derivative of f(l) wrt l?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -42. Suppose -3*a + w = -3. Let t(s) = -7*s + a*s + s. Let x(v) = v**2. Calculate t(x(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 10 - 5. Which is the second biggest value? (a) i (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.98 and 0.0602.\nAnswer: -0.9198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -4, -10?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**3 - 1. Let i(f) = f**3 - 7*f**2 - 8*f + 2. Let x be i(8). Suppose x*l = l. Suppose 0 = n - 3*n - 4*y - 10, l = -2*n - y - 4. What is c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u**2 - u + 1. Let k(q) = 4*q**3 + 6*q**2 - 4*q + 4. Calculate -6*c(l) + k(l).\nAnswer: -2*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -4*c + c. Suppose -4*w - c = -2*s, s + 0*w + 4*w = -17. Suppose 3*z - 3*l = 81, s*z - 40 = -3*l + 23. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -281, -621, -1095?\nAnswer: -1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/80)\/(-3) + (-51)\/(-48). Let h be 4\/(-246) - (1 + -1). Let s = h - 593\/1353. Is s not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/3, -5, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34103, 68242, 102373, 136490, 170587?\nAnswer: 204658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 2*n**4 + 0*n**4 + (n**3 + n**3 - 3*n**3)*(51 - 61 - 54)*(6*n + 3*n + 2*n).\nAnswer: 706*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3488, -236, -3, 5, -7.\nAnswer: -236, -7, -3, 5, 3488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -202, -201, -200, -199, -198, -197?\n\"Answer: y - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 756093301, 1512186607, 2268279915, 3024373225?\n\"Answer: f**2 + 756093303*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.223 times -42584\nAnswer: 9496.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 536317365.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 815\/462 + 25\/21. Let c = 1513\/4300 + -2\/1075. Let u = 39\/20 + c. What is the common denominator of u and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7479 divided by 7479\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-5\/3)))\/(n*n**(-2\/5)))**(5\/8) assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/6 + 7*k**2\/2 - 765*k. Let t(a) = a. What is r(t(z))?\nAnswer: -2*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is -95979 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -15 - 1\/3*i**3 - 8*i**2 - 10*i. List the prime factors of s(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 768411, 768427, 768455, 768495, 768547, 768611?\n\"Answer: 6*m**2 - 2*m + 768407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d = -38. Suppose -7*b - d = -96. Calculate the highest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**6\/15 + 51*f**5\/20 - 217*f**4\/8 + 4685*f**2. Find the second derivative of n(w) wrt w.\nAnswer: 48*w + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3411 - -1746. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 25. What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3193194 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*g + 1336131 = 38931. Is g a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53703, 107474, 161245, 215016, 268787, 322558?\n\"Answer: 53771*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -607\/2 (b) -4\/23 (c) 1\/3 (d) 2\/5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y. Let m(j) be the third derivative of -2*j**5\/15 + 12*j**2 + 10. Determine m(o(s)).\nAnswer: -968*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1298 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-35 + 23244\/663)*(-5 - -3)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**4 + 48*j**3 - 19*j**2 - 4*j - 1986?\nAnswer: -36*j**2 + 288*j - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 1*-1)*-5. Let g = 176 - 84. Suppose -5*t = -4*y - 108, -4*y + g = 2*t + 3*t. What is the highest common factor of t and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7*2*(-12)\/(-16)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1172730 to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**2*z + 1395639*x**2 + 537*x*z - 985*z wrt z.\nAnswer: x**2 + 537*x - 985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 344\/5 + -69. What is the smallest value in -0.3, u, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6824*g**3 - 32*g**2 + 32. Let c(a) = -621*a**3 - 3*a**2 + 3. Determine 3*b(f) - 32*c(f).\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 445567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133607834?\nAnswer: 2, 66803917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-89)\/(-5) - 5720\/(-2600)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -3.1.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 8866 = 382*c for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/650*2\/6\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -168328, -336660, -504992, -673324?\n\"Answer: -168332*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-3) + 0 + 262352\/57 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13736532 rounded to four dps?\nAnswer: 0.1374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j. Suppose 12 = -v + 5*v. Suppose 8 = 11*o - 36. Let b(k) = o*k + 8*k - 2*k - v*k. Calculate m(b(r)).\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) -2 (c) -3 (d) 136 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7464 and 402123.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1360 (b) 3\/86 (c) -0.1 (d) -2\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321638265 divided by 13.\nAnswer: 24741405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -18*h + 16. Let s(b) = -b + 2. Let y(k) = i(k) - 12*s(k). Let j be y(-1). Which is greater: -10\/13 or j?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 + 3*p**5 - 4*p**5 + (329*p**4 - 35*p**4 + 46*p**4)*(-2*p + 0*p + p).\nAnswer: -338*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34147206.\nAnswer: 2, 3, 199, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4452 + 32564 + 24724 + 2*u + 8880 + (-5 + 2 + 2)*(-u - 2*u + 2*u) as n*u + d and give d.\nAnswer: 61716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**2))**(27\/5))**21)**(-9) assuming o is positive.\nAnswer: o**(-10206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 = -4*a - 5, -2*a - 4*b - 4 = 0. Suppose j + 2*j - 33 = a. Calculate the remainder when 21 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45956657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2. Suppose -6*v = -v - m - 225, -2*m = 0. Let d be (12\/v)\/(6\/15). Which is the closest to -2\/5? (a) d (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*o = o + 23, 3*i + 3*o - 18 = 0. What are the prime factors of (i - (-7588)\/12) + (-8)\/6?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**3\/7 - 42893448*w**2\/7 + 153320613883935*w\/7 + 306641399341686\/7 = 0?\nAnswer: -2, 7148909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*g**3*p**2*r**2 - 9504*g**3*p**2 + 2*g**2*r**2 - 3*g*p**2 + 3812*p**2*r**2 wrt g.\nAnswer: 114*p**2*r**2 - 57024*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 524567 less than 524567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 8*o + 2. Let i be f(8). Let t be (0 + 0)*2\/(-4). Solve i*c + t*c = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52431509807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 25*h**8\/112 + 239*h**7\/14 + 15319*h**6\/40 + 24913*h**5\/20 + 1610*h**4 + 1058*h**3 + 219*h**2. Determine w so that b(w) = 0.\nAnswer: -23, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.026938 to four decimal places.\nAnswer: 0.0269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19650169489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 299 = -a + 325, 0 = -3*o + 2*a - 35 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.075 and 138.9.\nAnswer: 138.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5740227 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -47*j**3\/3 - j**2\/2 + 36*j - 20. Find the second derivative of z(l) wrt l.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 - 0.3. Let g = 301 + -299. Which is the third biggest value? (a) 1\/3 (b) 0.6 (c) m (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3.4, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.1 (c) 19\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 175077575 + -41?\nAnswer: 175077534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + -26. Suppose -2*t + 328 = 2*j - 0*t, -j + 173 = 4*t. Let d = z + j. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*3\/(63\/(-14)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -910.396 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296 - 31*p + 252 + 10*p + 22*p.\nAnswer: p - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*d**2 - 6230591 + 6230591.\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2329452371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3 - 130*q**2 + 588*q + 720 = 0. What is q?\nAnswer: -1, 6, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000894567 rounded to 7 dps?\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-5 - (75 - 122))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 4 - (-3 - -2) - 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 1\/76, -3\/4, 2\/7, 1\/8, -6\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-207)*-3 - (8 + 5632\/(-759)). What is the nearest to -1 in f, -0.1, -2\/9, -11.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g + 442 = 376 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 5, 3*j - 757*v + 760*v = -9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhxhxxxxxxxxh. What is prob of picking 2 x?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + 4*g + 2*g**2 + 21 - 17 to the form s + x*g + z*g**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c - 21. Give p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 3*i**2 + 3. Let g be c(3). Suppose s = o + 7 + 5, 0 = 3*o + g. Find the third derivative of -3*k - 16*k**4 + s*k + 8*k**2 - 8*k wrt k.\nAnswer: -384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/857?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 5.2. Let u = 5.5 - k. Let x = -0.2 - -5.2. What is the closest to 0.1 in u, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1173179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25)\/5 + (-10 - -5)\/(-5). What is the least common multiple of 96 and (h\/6)\/(57\/(-3078))?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/5))\/(m*m\/m**6*m*m)*(m**1\/m)**44)**(-13) assuming m is positive.\nAnswer: m**(-182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/5 - 94*o**2\/5 + 277*o - 1292\/5 = 0 for o.\nAnswer: 1, 17, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 83\/444618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 193, 187, 181?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - p + 0*p)*(-2 - 1 - 9)*(2 - 2 - 2) + p + 1 - 1 to the form m*p + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*m + 99*m - 16. Suppose a + 3*w = 2 + 8, -a - m*w = -12. Solve 5*z - 2*i - 11 = 0, 4*z - 3 - 1 = a*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-1 + 5\/2). Let i(r) = 38*r - 5. Is i(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 26.5. Let u = 9.5 - o. Let y = -0.1 + -0.1. Which is the nearest to 2\/9? (a) y (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.3 (c) -162 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 5880?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -2\/3 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10019?\nAnswer: 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 55*j - 1491\/4.\nAnswer: -(j + 7)*(j + 213)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-45))\/((-2)\/(-3)). Let z = 3 - 0. Sort -4\/7, o, z in increasing order.\nAnswer: -4\/7, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 182*r - 49. Let c be v(4). Let y = c + -477. List the prime factors of y.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -60. Let i = 3439 + -3404. Let f = l - i. Which is the nearest to -2\/11? (a) 3\/7 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2 - 5515*c - 356730 = 0 for c.\nAnswer: -1034, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7000*p + 6966*p + 816. Which is greater: p or -116?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (8 - 55 - 20).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.046073 * -6.8.\nAnswer: 0.3132964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469377370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h\/(h*h**4*h*h*h))\/h)\/h)**(-28))**(-1\/44)\/(h\/(h*h**(-1\/8))*h*h**13)**(4\/15) assuming h is positive.\nAnswer: h**(-2923\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -5*(sqrt(77) + -1*sqrt(77) + sqrt(77)) + 6*(sqrt(77) + (sqrt(77) - ((-2*sqrt(77) - sqrt(77)) + sqrt(77)))))\/(-6*sqrt(224)\/sqrt(2)).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111.0241 milliseconds in minutes?\nAnswer: 0.035183735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 1:21 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8\/3)*w*w*w*w**(-1)\/w*(w\/w**(2\/27))**(-1\/5) assuming w is positive.\nAnswer: w**(-50\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/4 - 174\/18. Let f = -4.08 + 0.08. Which is the closest to f? (a) v (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.8*0.3.\nAnswer: -6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 (base 8) in base 4?\nAnswer: -10321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = h - 81, 0 = 13*h - 16*h - q + 265. List the prime factors of h.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*x - 16, 2*x - 5*w = -13 - 7. Let a(p) = 7 - 1 + p**2 + x*p**2 + 6*p + 0*p**2. What is a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3329*w**2 + 3329*w**2 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 14) to base 5\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49793142 divided by 21.\nAnswer: -2371102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5452*s = 5423*s + 49329. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 9*n**2 - 14*n + 13. Let a be r(8). Let b = a + 30. Let j be 0\/(15\/5) - b. Solve g - 8 = j*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-12 - (28 - 0))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - u**2 + 1. Let b(m) = -58*m**3 + 676 - 11*m**2 - 283 - 343. Let j(z) = 2*b(z) - 22*q(z). Differentiate j(r) wrt r.\nAnswer: -216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253865889*k**2 + 2269977*k wrt k?\nAnswer: -507731778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -29*t**6\/15 - t**5\/15 - t**4\/6 + t**3\/3 - 15*t**2. Let n be x(-2). Suppose 5*b - n - 245 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let h = 56\/3 + -18. Let s = 0.03 + 0.27. What is the nearest to h in -4, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 1, d: 2, z: 2, g: 4}. Give prob of sequence godu.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51)\/(-99) + 12\/(-66). Let v = -2 - -2.1. What is the closest to -0.2 in 0.4, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5068*o + 6 - 1 - 4.\nAnswer: -5068*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30662 + -16592. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/69426 and -79\/7091196.\nAnswer: 404198172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9201 - -36896. Is 247 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(4050) + (sqrt(4050) - (sqrt(4050) + 3*sqrt(4050))) - sqrt(4050) - sqrt(4050))\/(sqrt(250) - (sqrt(250)*-4 - sqrt(250))) + 0.\nAnswer: -18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*1\/4*12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/13748 and 47\/20.\nAnswer: 68740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 0, 0*v + v = 2*j + 3*j + 11026. List the prime factors of v.\nAnswer: 2, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/207279 and -23\/196.\nAnswer: 40626684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 8. Let i be z(-5). Let k be 6*i\/(-9) - 1. Is k < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68291 is divided by 1551?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042192 rounded to 3 dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.7 and -6984.\nAnswer: -6985.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 61506 = -44886. List the prime factors of d.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -2, 5572, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -0.29020447612044?\nAnswer: -0.10979552387956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 18*n + 17. Let s be t(-17). Suppose -j + 3 = -s*j, -2*g - 5*j = -61. Solve 0 = -2*h + 5*c + g, h - 16 = c + 3*c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, y: 1, o: 14}. What is prob of sequence yooo?\nAnswer: 91\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11391 times 97?\nAnswer: 1104927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 13) to base 4\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 5:08 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8\/b**(-9))**1)**42 assuming b is positive.\nAnswer: b**714","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28345 is divided by 2542.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -2117.\nAnswer: -8468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7\/w**(2\/9))\/(w**1)**(-22))**(-1\/3) assuming w is positive.\nAnswer: w**(-259\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52470514428112 - -0.2.\nAnswer: -52470514428111.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 11*j + 10. Solve 4*w + 2*u = -12, j*w + 2*u + 14 = 3*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 28. What is j(19)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*r - 152, 3*r - 122 = -4*b - 0*b. Let k be (b\/(-4))\/(2\/(-1)). Suppose p = -p + k. What is the remainder when 4 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*d + 8. Let a be 1 - (-6 + (-1 - 0)). Suppose -4 = -v - 3*v + h, -a = v + 2*h. Solve v = x + x + d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 2*w + 1. Let f(o) = -o**3 + 11*o**2 + 1. Let q be f(11). Let a be c(q). Differentiate 2*x + 2*x**4 - 4*x + 7 + a*x with respect to x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216814, 433617, 650420?\nAnswer: 867223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 1484*v + 57114.\nAnswer: -(v - 3006)*(v + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18802 - -5?\nAnswer: -187ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -48571.98 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 w when three letters picked without replacement from zwvuuiuvvuwz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1376 + 1387. Solve -4*d + 8*d - 7 = -v, -5*d = -v - h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18790 + 26735. Suppose 8 = -5*h + 28. Suppose -k = -h*i - 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 ten thousands digit of 21157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331805.6mm in nanometers?\nAnswer: 331805600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/26185 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04383 (b) 0.4 (c) -0.3 (d) 20\/7 (e) 1\/5 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176782607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1261\/2 - -612. Find the common denominator of d and 6 + 395\/(-65) - (-7748)\/(-4056).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) -4 (c) 0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02667804 to five decimal places.\nAnswer: -0.02668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -18. Let r = -0.03 - -0.03. What is the third smallest value in r, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 1 - 1 + (0*v - 6*v + 4*v)*(2*v + 0 + 0) + (-5*v - v + 0*v)*(3*v - 3*v + v)*(-2 - 1 + 2).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 7*n**2 + 5. Let a be d(-7). Suppose 0*y + 33 = 3*y - 3*f, -2*y + 5*f = -25. Let o = y - a. Solve -o*r + 3*s - 9 = -3*r, 4*r + 8 = -4*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.6, 0.1, -3, -293\/3, 1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 5*y + 5. Calculate h(7).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7308 and 25.9?\nAnswer: 70.72772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 41. Let s = -15.99999 + o. Round s to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1989 and 14\/(-2) - ((-35)\/(-6426))\/(11\/(-14223))?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1057*b**3 - 25*b**2 - b + 1. Let r be i(-1). Is r at most 1036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47482796 and 1268?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7257 and 649?\nAnswer: 79827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*l + 108*l - 9*l)*(0 - 3 + 1) + 3*l - 3*l + 2*l.\nAnswer: -114*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:18 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102952876011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 319*z - 318*z - 14. Suppose z*c - 32773 = c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/90*(61 + 2 + -9)*(-44)\/(-66).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, k: 1, l: 6, s: 6}. Give prob of sequence ssgs.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 13) in base 8?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/5 (b) 55\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15911 - 127201\/8. What is the common denominator of 89\/2844 and x?\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 18122.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4079, 4078, 4077?\n\"Answer: -k + 4080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, o: 1, k: 5, e: 13}. Give prob of sequence ksek.\nAnswer: 13\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*r**2 + 150*r**2 + 143*r**2 - 414*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 139092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*x = -37, -5*x = 3*r - 2*r + 22. Let q be r\/15 - (-142)\/(-10). Let z = 42 + q. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 13) to base 11\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 - ((0 - 19) + 182 + -149) - 1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 13. Determine c(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/4 or -570\/131?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/580, 2\/11, 5 in increasing order.\nAnswer: 1\/580, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, o: 2, s: 5}. What is prob of sequence oos?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 34*k**2 - 54*k + 295. What are the prime factors of z(34)?\nAnswer: 11, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.43 to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 3*a)*(a**2 - a**2 - 4*a**2) + 0*a**3 + a**3 + a**3 to the form p + x*a + b*a**2 + d*a**3 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -15639.15335 to the nearest one hundred.\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -504693*0.1\nAnswer: -50469.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 3*d**2 + 0*d**2 + 3*d**2. Let f(l) be the second derivative of -5*l**4\/12 - 12*l. Calculate f(h(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -19. Suppose d*h - 2*h = 135. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -16. Let v(y) = y**3 - 2*y**2 + y - 1. Let n be v(3). What is the greatest common factor of x and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 256347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.8207 and -14031188877?\nAnswer: 14031188877.8207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67025973 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 12 + 16. Suppose -2*z = 2*p - 14, 0 = -p - 0*p - 3*z + 5. Let y = 9 - p. Calculate the highest common divisor of y and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/7)\/((-2000)\/(-1750)*(-2)\/(-16)). Suppose -4\/5*i + 1\/5*i**u + 3\/5 = 0. What is i?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 14*d + 9. Calculate the remainder when 44 is divided by r(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {d: 1, m: 1, v: 1, x: 2, b: 2, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/43 (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 6. Let a be y(-11). Let q be a\/(-5) - (-6)\/10. Let t(m) = m**2 + 2*m - 7. Let s be t(q). Solve -3*v - 3*l - 10 = v, 4*v = -2*l - s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-6)*74\/370.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -23\/3. Is q at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeehehh. What is prob of picking 3 h and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5, 3*o - 4*a - 152 = -16. Let b = -91 - -223. Calculate the smallest common multiple of b and o.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/11 - 3660*j**2\/11 + 21906*j\/11 - 32832\/11.\nAnswer: 2*(j - 1824)*(j - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = 2*f, 4*o = f - 2*f + 15. Suppose g - 114 = -c + 4*g, 8 = -4*g. What is the common denominator of o\/8 - c\/(-16) and -44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/7*x - 18\/7 + 2\/7*x**2 = 0. Calculate x.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 19, 21, -5, -3, -1.558?\nAnswer: -1.558","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/18 - (3 - 87\/27). Suppose 0*d - 12 = -4*d. Find x, given that -3*x**5 - x**5 + 6*x**d - 2*x**i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72897*-0.2.\nAnswer: -14579.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 104779812 in ascending order.\nAnswer: 0, 4, 104779812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -5*n - 2*g + 6, n = -g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7281842 rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 100 = -30*s. Suppose -2*q + 4*y = -8962, -s*y = -2*q - 23*y + 8966. Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(363) + -2*((sqrt(363) - (sqrt(363)*3 - sqrt(363))) + sqrt(363)))**2.\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.03 + -8.030001. Round g to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v**2 - 3956*v - 5*v**3 + 6*v**3 + 3944*v + 4. Let m be p(-11). Let h = m + -1121\/3. Calculate the common denominator of h and -53\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/52*(-64)\/(-88)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/44, -31, -1482.\nAnswer: -1482, -31, -7\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -0.1, 21, 2\/11, 120, -3, 0.026?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -4, 3\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2060 = -q + 2067, -5*q - h + 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 795262*z + 2251*z**2 - 795262*z + (-1 + 4 - 4)*(-z**2 - z**2 + 0*z**2) as x*z + c + w*z**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 356 - 14951\/42. Let o(i) be the second derivative of 0*i**2 + h*i**4 + 0 - 4*i - 1\/21*i**3. Factor o(g).\nAnswer: 2*g*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 2*t**2 + t - 2. Suppose n + 3*a - 7 = 2*a, 4*a - 18 = n. Suppose -2*d + d = -2*y - 7, -2*y - n*d + 2 = 0. Determine g(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 1.4. Let w = 1.2 + p. Let o be (-12)\/9*(-12)\/(-56). Which is bigger: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674.824 micrometers in kilometers?\nAnswer: 0.000002674824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 11. What is the third derivative of -3*w**2 + w**d - w**4 - 8*w**5 + 19*w**5 wrt w?\nAnswer: 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 4*y. Let f be k(4). Let x = -3 - -6. Suppose f = -x*p - 2*p + 40. What is the highest common divisor of 64 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16479 - 1a2?\nAnswer: -1665b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12*l - 4271 = 14*l, -3*j - l + 4268 = 0. List the prime factors of j.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/43 and 19\/22.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 1. Let h(b) = -b - 1. Calculate -3*c(s) - 2*h(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 15, 3*r - 2 = -4*g + 2*g. Suppose 6*u - u - 10 = 0. Suppose 3*k + 3*i = 20 + 25, 0 = -4*i + 4. Solve -k = -r*z + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 - -2404?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10*l + 212. Let g = 4835 + -4858. Give h(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.664 - 29.964. Let v = 0.3 - -0.2. Which is the closest to 1\/2? (a) v (b) 2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003981 to 5 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62800 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**4\/12 - w**3\/2 - 37*w. Determine b(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = 0, 5*g + 180 = 4*q + 7*g. Let t(x) = -x + 6. What is the remainder when q is divided by t(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 53644128.\nAnswer: 1662967968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - o = 9, 0 = -2*b + 5*o - o + 22. Let s be (-3)\/((-2)\/2)*b - 1. Solve 4*w - 2*n = -4, -3*n - s*n = 5*w - 25 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.80844ml in litres?\nAnswer: 0.07280844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**3 - 543*l**4 - l**3 + l**2 + 2 + 542*l**4 to the form k + a*l**4 + c*l**3 + n*l + x*l**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/(2\/5). Suppose 0*l - 4*l = 8*i - 184, -3*l = -6. Put 1, -1, b, i in increasing order.\nAnswer: b, -1, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-48))\/(23\/552))\/(198\/(-44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 11*g**2 - 3*g**2 - 2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1130\/(-315) + 2\/14 and (-21)\/(-2)*(-36)\/49.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) 0.2 (c) 175 (d) -6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -564, -1136, -1708, -2280?\n\"Answer: -572*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.4 - 10.497. Let f = -0.097049 - l. Round f to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 9 + 13*l + 3 + 12.\nAnswer: 13*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*n**3 + 0*n**3 + n**3 + 2*n**2 - 3*n**2 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14304 divided by 3?\nAnswer: -4768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3352, -3376, -3400?\nAnswer: -3424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4848 by 24.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73 + 88?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiliiiil. What is prob of sequence lli?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -33, -74, -149, -270, -449, -698?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -924 + 939 + 36 + 4\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 10:17 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 10*l**2 + 62*l - 7. Let h be r(-9). Solve -95*i + h*i - 48 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 205 and 35010.\nAnswer: 1435410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 14*r**2. Let g(a) = -8*a. Let h(o) = 105*o. Let s(x) = 40*g(x) + 3*h(x). Give s(f(v)).\nAnswer: -70*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/3705471 and -41\/20885382?\nAnswer: 229739202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + (sqrt(2057) + 1)**2 - (sqrt(2057) + 1 + 5)).\nAnswer: 11*sqrt(17) + 2056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1503 + -1511 + 5 + -2 + 29 + (0 - -1)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 at most as big as -0.39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -453, -1, -5, 3 in ascending order.\nAnswer: -453, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 363393 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*h + 17 = -2*h, -15 = -3*h. What is the third derivative of -6*c**5 + c**2 + 0*c**g + 4*c**5 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21435832*4.\nAnswer: -85743328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8261 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + l + 2 + (-1 - 3 + 5)*(2*l - l + 0*l) + (l - 3*l + l)*(15 + 5 - 2) - 87 + 507*l + 85 + 354*l as v + z*l and give z.\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.047 and -420685968.\nAnswer: -420685968.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, d: 7}. What is prob of sequence qqq?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8aa286 (base 12) to base 11.\nAnswer: 1283750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-2)\/(-7) + -6543608*(-36)\/(-1008). Round u to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/80 + 1\/16. Let t be 2\/14 - 130\/(-70). Find u, given that -2\/5*u**t + 1\/5*u**4 + 0*u + d + 0*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/(-6)*(-18)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 11 + 43. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-33)*(u*(u\/(u\/(u*u**(1\/3))))\/u*u)**26 assuming u is positive.\nAnswer: u**(281\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1760 = 3*u + 7*u. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-28\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -440051?\nAnswer: 440050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*c - 13 = 0, 8968*c - 8963*c + 4 = 2*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 6) to base 7\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*n - 17 - 12, 17 = 2*n - 3*r. Let l(a) = -a**2 + 4*a + 5. Let z be l(n). Suppose -3*x = -0*x + 5*i - 76, 138 = z*x - 3*i. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(450)\/(sqrt(90) + sqrt(10)))\/(sqrt(81)*-2*-6).\nAnswer: -5*sqrt(5)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 86823.62 grams?\nAnswer: 86.82362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = 3*r, 0 = 5*r + 2*w - 6*w + 2. Let k be ((-768)\/9)\/r*6\/(-2). Let s = k + 211. Calculate the remainder when s is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7659, -61237, -206607, -489639, -956203, -1652169, -2623407, -3915787?\nAnswer: -5575179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpvxd. What is prob of sequence pd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + r**2 - r - 1. Let u(v) = -515*v**3 - v**2 + 11*v + 6. Let g(m) = 6*d(m) + u(m). Is g(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**3 - 70*s**2 + 295*s - 350 = 0.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 26*f**2 - f - 1. Let i be q(-1). Let n = 401 + -396. Suppose 0 = -n*b + i - 6. What is the lowest common multiple of 6 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2261\/1292 + -1 + 3)*4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 != 3484991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 + 83. Suppose -9*o = 31 + q. Which is bigger: -32 or o?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 2*a + z - 4*z, 0 = -a - 2*z. Put a, -1.2, -0.4 in decreasing order.\nAnswer: -0.4, -1.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (66\/(-88))\/((-1)\/24). Which is the nearest to 5? (a) 0.1 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746765 is divided by 574?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1082 + -1081.6. Let t = 1.1 - 1. What is the closest to t in -2, c, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14892149 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448, 456, 462, 466, 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - k + 23, -m - 2*m = -k - 27. Let n be (-3 + 7)\/(-2) - 28. Let v be -1*(n\/3)\/2. Solve -v*o + 0*o = -m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/7)*w)\/(w*w**(-1)))**(-48)*(w**3\/(w*w**(-2)))\/(w\/(w\/(w*(w\/w**(-1))\/w)))**(-2\/45) assuming w is positive.\nAnswer: w**(-5192\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 + 7\/2. Suppose -m*k - 2*u + 38 = -24, -5*k = u - 70. Let r be (-15)\/30*(-1 + 1). Solve -w + 7*c - 2*c + k = r, c + 5 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -8\/11 (c) -0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 255 (base 8) to base 2\nAnswer: 10101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/50)\/(4 + -2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 + -125. Solve 6*u = u - r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -985 and -73019.\nAnswer: -74004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1645 + 2637. Calculate the highest common factor of 48 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11541217033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(171) + -2 - (-1 + sqrt(171)*-1))**2 - (-2 + 5 + ((sqrt(171) + -1 - sqrt(171)) + 5)**2))*-5.\nAnswer: -3370 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 0) + 5 - (311 - 307) - 9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122893*h**5 + 47*h**3 - 27625264*h.\nAnswer: 2457860*h**3 + 282*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8537 + -6507. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**6 + 3*q**5 + 17*q**3 - 887*q**2 + 7*q wrt q.\nAnswer: 360*q**3 + 180*q**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -323 - -326. Suppose -5*b + 12 = -b. What is the third derivative of -11*n**2 + 3*n**b - 13*n**v + 9*n**2 wrt n?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 + 132 = 5*z. Suppose 0 = 7*m - z - 3. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(0 + sqrt(2057)) - ((sqrt(2057) - (-1 + (0 + sqrt(2057) - sqrt(2057)))) + sqrt(2057) - sqrt(2057) - sqrt(2057))*6)**2*-2.\nAnswer: -16528 + 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 494*x**2 - 972*x + 2019. Give z(-245).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 285*(-30)\/50*(-8)\/76\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 404 = 296. Is -37 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33345 and 7676019.\nAnswer: 38380095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-8*(-2)\/4. Let p be ((-6)\/(-4))\/(3\/k). Suppose 40 = 5*n - p*t, -t = 3*n + 2*t + 3. Solve -n*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*v - 198 = -193*v. Solve -s + 2*d + v = 0, 0 = -10*s + 5*s - d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 2) + 1 + -4. Let m(l) = l**3 + 3*l**2 + 4*l + 2. Let n be m(-3). Let t = 7 + n. Sort d, 1, t in ascending order.\nAnswer: t, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*i + 10, -5*v - 28 + 3 = -2*i. Let h = v + 8. Let b be 5\/(-2) - (-12)\/h. Which is greater: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/227491 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*q - 3407182 = 2800052. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 86 = 3*i + 240, -i + 122 = 3*u. Calculate the remainder when u is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 765773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 2 = t. Is t a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*u**2 - 22*u**2 + u + 5 - 18*u**2)*(2*u**2 + 0 + 0).\nAnswer: 4*u**4 + 2*u**3 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186674 is divided by 8107?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1463886 and 3456?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9 less than -0.0710820177?\nAnswer: 6.8289179823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -617 + 593. Let z be -1 - m\/(-27) - (-1)\/(-3). Which is the second smallest value? (a) z (b) 1\/2 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 202167411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 + 150. Suppose -4*d = -5*n - 652, -z*d - n + 387 = 47. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from cxccxcccc?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1244304*0.2\nAnswer: 248860.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2. Let i(d) = -15*d + 15. Let p(l) be the first derivative of l**2\/2 + 3*l + 53. Let c(g) = -i(g) + 5*p(g). Give y(c(n)).\nAnswer: 3200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(128)*-2)\/(sqrt(16)*-2).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 1. Suppose -k + 79 = -p*z, k = -4*k + 3*z + 419. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -33) + 3 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4 - 12888*z**3 + 90139*z**2 + 360648*z + 257620 = 0.\nAnswer: -2, -1, 10, 12881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**5\/60 + q**4\/24 - 2*q**3\/3 - 5*q**2\/2 + 3. Let n(t) be the second derivative of w(t). Calculate n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 1216 - 406 = 0. Is p bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15))**(-3\/2) assuming q is positive.\nAnswer: q**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -25*a**3 + 18. Let q(x) = 1. Let f = -28 + 22. Let i(v) = f*q(v) + k(v). What is the first derivative of i(r) wrt r?\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3153*o. Let g(z) be the third derivative of z**4\/12 + 3816*z**2. Calculate g(r(y)).\nAnswer: -6306*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -42. Let l(x) be the first derivative of 8*x**2 - 6*x**2 - p*x**2 - 3*x**2 + 14 - 7*x. Differentiate l(q) with respect to q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/4 + 2\/8. Let o = 2 + -16\/9. Which is the nearest to -2\/3? (a) o (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/12)\/(9\/(-8)). Which is the smallest value? (a) d (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 33. Let i(y) = 4*y + 1. Determine h(i(v)).\nAnswer: -8*v + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0 + 0?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 26565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3 + 125*d + 43 - 148 + 52 - 5*d - 216*d**4 + 52 wrt d.\nAnswer: -2592*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(7) + 0 + -1 + sqrt(700).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**3\/3 - n. Let z be g(-1). Suppose 0*r - 3*r - m = -41, 72 = 5*r - z*m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6800729251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/19 + 4100*z**2\/19 - 12282*z\/19.\nAnswer: -2*z*(z - 2047)*(z - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 84*w**2 + 2*w + 82. What is the remainder when 1988 is divided by r(42)?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -295504 - -174215. Let w = m + 121289.3999936. Let l = w - 0.4. What is l rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4 - 7*m + 3 - 2 + 5. What is the least common multiple of 1*(0 - -19 - 1) and s(-2)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 634050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*n = n - 232682, 3*n = i - 77554. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-480)\/(-70))\/(2\/42) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -2\/3 (c) 0.07 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + i - 42 = -2*n, -5*i = n - 18. Suppose -37*s + n = -33*s. Calculate the highest common divisor of 17 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(-3) - -1) + 2\/3. Suppose -4 - 16*o**2 + 102*o**2 - 38*o**2 - s*o = 0. What is o?\nAnswer: -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*j**2 - 1881417*j - 6483165.\nAnswer: 8*j - 1881417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 689 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2781 - 4707?\nAnswer: -7188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d - 9*d = 1133025 + 802524. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/12)\/(-7)*2*12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -166110*p + 166110*p - 339*p**3 - 3*p**3 + 4*p**3 + p**3 - 2*p + 3*p**3 + 2*p + (5*p**2 - 5*p**2 - 2*p**2)*(-3*p + 0*p + 2*p).\nAnswer: -332*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**4\/4 - 202*z**3\/3 - 121*z**2\/2 + 290. Find the second derivative of q(d) wrt d.\nAnswer: -6*d - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -2, 16\/9, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 5180 = 12*s. Put -2\/5, -1, s in increasing order.\nAnswer: s, -1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857259.5nm to meters.\nAnswer: 0.0008572595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (218*h - 112*h - 116*h - 3)*(1 - 1 + 3) in the form o + l*h and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (3 + sqrt(76)\/sqrt(4)*-4 - ((3*sqrt(228)\/sqrt(4))\/sqrt(3))**2)).\nAnswer: 20*sqrt(19) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1573.1?\nAnswer: -157.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 29 - 34. Let w = 24 + x. Let i(v) = -2*v + 32. What is the least common multiple of i(w) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 4. Let w(k) = -3*k - 2. Let t be w(-2). Let f be x(t). What is the units digit of (-12 + -12)*(f - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12143, 48756, 109777, 195206?\nAnswer: 305043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + sqrt(7))*3)**2.\nAnswer: 139 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 2*q**2 - 6. Let g be u(3). Let z(w) = -3*w + 9. Let p be z(g). Suppose p*t = t - 25. Solve -2*i = 3*i + t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2514*n**2 + 1. Let c be p(-1). Let l = 17571\/7 - c. Find the common denominator of -24\/5 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211 - 612 + 3*m**3 - 599.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5 - 3422176*c**4 + 20532900*c**3 + 10266520*c**2 - 54754384*c - 41065824 = 0. What is c?\nAnswer: -1, 2, 6, 855538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o*o*o**(-8))\/(o\/(o*(o\/o**5)\/o*o)*o\/((o*o**0\/o)\/o)) assuming o is positive.\nAnswer: o**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.9350331 rounded to one dp?\nAnswer: 132.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 25, 1\/13338 in descending order.\nAnswer: 25, 1\/3, 1\/13338","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 60935453993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*l = -28, -5*v + l - 5 - 11 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14511.894 + -14512. Let q = -1 + -1. Which is the closest to -0.1? (a) 4\/5 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 19 = 274*v - 275*v, -4*v + 12*c - 10*c = 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1062\/(-8) - (1 + -2). Let h be 10\/((-120)\/2502)*(-2)\/(-3). Let z = u - h. Calculate the common denominator of z and -27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((15\/7)\/15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p - 5. Let q be t(-4). Let j(s) = s + 18*s**2 - 17*s**2 + 4 + q*s. Determine j(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150712717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21089 - 9856 + 2886*l**2 - 2885*l**2.\nAnswer: l**2 - 30945","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2420, 9480, 21180, 37520, 58500, 84120?\n\"Answer: 2320*w**2 + 100*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2. Let s(k) = -k - 1. Give g(m) + 5*s(m).\nAnswer: -5*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 27 = 4*p. Let g be p\/((-26)\/(-16) + -2). Suppose g*v - 5*v - 75 = 0. Solve w = -x + 4*w + 10, 4*x + v = -w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-9) - -2*(-2 + 3). Solve 80\/3*s**3 - m*s + 64\/3*s**4 - 1\/3 + 4*s**2 = 0.\nAnswer: -1, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93 or 1521?\nAnswer: 1521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x - 18. Let m be p(-7). What is the first derivative of -27*t**3 + 3 - 3 - 3 - m wrt t?\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 1 - 1)*(r + 5 - 5)*(57*r**2 + 1056*r + 22*r**2 - 1062*r).\nAnswer: 79*r**4 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - r - 7. Let c be g(3). Let l be (c - -9)\/(3 + (-2)\/2). Suppose -5*v + 6*w + 40 = w, l*v - 4 = -3*w. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 29. Suppose 3*k + n = -4*s - 0*s, k + 4 = s. Suppose -4*i - t + 23 = s, -i - 5 + 16 = 2*t. Which is the closest to 2? (a) 2\/5 (b) 1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4*(sqrt(308) + sqrt(308)*1) - sqrt(308) - -6*(sqrt(308)*1 + sqrt(308)))\/(sqrt(132)\/(sqrt(132)\/(sqrt(44)\/sqrt(4)))))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2 - 4*g + 2*g**2 - 3*g**2 + 5*g. What is n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -20*a + 879. Let t be x(-15). Calculate the highest common divisor of 655 and t.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 - 16*l**2 - 3*l**2 - 6*l**2 + 67*l**2 - 4*l**2 - 45*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {w: 1, j: 2, v: 1, d: 5, u: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -372*y + 184*y + 183*y. Let k(i) = 26*i**2. Calculate a(k(g)).\nAnswer: -130*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (1 - 0) - (-166 + 171 + -19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) 0.4 (c) 1\/70 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/168*4)\/((-41)\/(2009\/(-84))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 765\/(-34)*(-36)\/(-972)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*h - 10 = -561*h - i, -3*h + 3*i = 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 2*c**4 + 2*c + (4*c**2 - 3*c**2 - 2*c**2)*(3*c**2 + 4 - 4) + 10*c**4 - c**3 + c**3.\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-150)*1*10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338 - 1333*r**3 + 664*r**3 + 2*r**2 + 659*r**3.\nAnswer: -10*r**3 + 2*r**2 - 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60448, -61998, -63552, -65110, -66672?\nAnswer: -68238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.93 - -2. Let f = m + 4.93. Let j = 0.06 - 0.16. What is the nearest to j in -2\/7, 1\/4, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzkk when four letters picked without replacement from {z: 5, k: 7, a: 4}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(480) - sqrt(120)\/sqrt(36))\/(sqrt(1440) + 2*(sqrt(1440) + sqrt(1440)*-2))*-6.\nAnswer: -49*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*u + 85 = 0, -5*m - 5*u + 124 + 26 = 0. Solve m = -11*d + 6*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 12:31 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f + 8. Let y be k(6). Let o be 2*(-8)\/16*25. What are the prime factors of (-1135)\/o - 6\/y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**5\/10 + 2*t**4 - t**3\/3 - 12*t**2 - 219*t. Factor v(r).\nAnswer: 2*(r - 1)*(r + 1)*(r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u**5 - 1\/2*u**6 - 5 + 0*u**2 + 3\/4*u**4 + 0*u**3 + 0*u. Factor x(h).\nAnswer: -3*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-128)\/12))\/((-1)\/(-4))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(132\/(-26)) + (-144)\/288)\/1.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5387\/840 - 169\/24. Let h = 128\/315 + g. Sort 0, 5, h, 1 in increasing order.\nAnswer: h, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45, 1\/5079, -0.141?\nAnswer: 1\/5079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17 + 84*k - 86*k - 2. Let u be d(-11). Suppose 0 = -u*c + 3*z - 4*z + 113, 4*c - 124 = 4*z. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4. Suppose 5*b - 6*b - 5 = 0. Let t(a) = -a + 9. Let g(p) = b*k(p) + 2*t(p). Let i(d) = -38*d + 18*d - 2 + 18*d. Determine 5*g(l) - 4*i(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/562 and -11\/4?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e046a (base 16) in base 14?\nAnswer: 587094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) + 11\/(165\/(-100)). Let z(p) be the second derivative of -2*p**3\/3 - p**2 + p. Let w be z(c). Solve -4*i - w + 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*u + 1 = 6, -3*u - 21 = -3*s. Let l be 6\/(-4)*282\/(-9). Suppose -78 = -s*a + l. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110*c**3 + c + 156 wrt c?\nAnswer: 330*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*d + 15 - 15.\nAnswer: -172*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4130849?\nAnswer: 4130849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4540407 is divided by 54052.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**3 - x**3 - x**3 + (0*x + 4*x - 6*x)*(x**2 - 2*x + 2*x) - 9*x**3 - 5*x**3 - 3 + 4*x**3 to the form d*x**3 + s + u*x + r*x**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0, -37, 0.06, -1\/27?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.031 - 25.441. Which is smaller: i or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 - f - 11. Let q(b) = 11*b**2 - 2*b - 33. Let y(x) = -3*q(x) + 8*w(x). Let t be y(3). What is the third biggest value in t, -0.07, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-3 - 2) + 11. Let t(g) = l - 3 - 16*g - 6. Let a(f) = -48*f**2 + 95*f**2 - 45*f**2. What is a(t(h))?\nAnswer: 512*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4420030 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 62. Solve -2*i + 6 = -u*c, -5 = -4*i - 4*c + c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d + 441718 + 441721 - 883441.\nAnswer: -44*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 1:44 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 75*a**2 - 46*a - 313. Does 13 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1614 + 3587\/538. Find the common denominator of -206*3\/72 - 3 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r - 3. Calculate the common denominator of 2\/10*75\/(-8) and r\/9 + (-88)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62124192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 - ((3 - 17 - 1) + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let v = -4 + 1. Let s = 0 + v. Put s, r, 3 in decreasing order.\nAnswer: 3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5032\/(-1887)*(-42)\/8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -196. Let k(m) = m**3 - 7*m**2 - 25*m + 12. Is k(q) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4*(66\/396)\/(23\/3)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 3*l + 3. Suppose -5*m - 35 - 45 = v, 5*v - 59 = 2*m. Let h = m + 21. Determine q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150417 divided by -5571.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n - 7 - 3*n + 7*n - 4*n. Let i be q(3). Let a(g) = g**2 + 6*g - 2. Let x be a(-7). Solve 2*y = 5*r + i - x, -r + 6 = -3*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 + 20 - (-2 - 2) - 12) + 20 + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.137 + 0.963. Let m = s - 59.1. Which is the closest to m? (a) -2\/5 (b) -1\/3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 94434662*a.\nAnswer: a*(a + 94434662)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54 and 0.03?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 24. Suppose -2*o + n + 4*n + 37 = 0, 3*o = -5*n + 18. Determine m(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -49. Find the common denominator of -11\/4 and 3\/(-8)*(-712)\/m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Let v(m) = m + 3*m - 2*m + 0 - w. Let z be v(1). Which is bigger: z or -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.535, 1\/2, 3\/7.\nAnswer: -0.535, 3\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 140 - 10 = 0. Let k be ((-3)\/8 - 0)*(-27 - m). Sort k, 2\/5, 0.5 in increasing order.\nAnswer: k, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 245 = -253 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19726?\nAnswer: 2, 7, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/2 - 20*q**3 + 1141*q**2\/2 + 590*q = 0.\nAnswer: -59, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -7. Suppose 84332 = 4*t - 4*p, 3*p + 105405 = t + 4*t. Is (c\/3)\/((-6)\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 41 = -7*t + 2*t, 0 = -2*t - 8. Suppose -i*l + 3*l = 28. Put -2, l, 3 in descending order.\nAnswer: 3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1187, -0.5, 4, -4\/7 in descending order.\nAnswer: 4, -0.5, -4\/7, -1187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1878*g + 11. Let v(m) = -5635*m + 29. Determine -3*v(q) + 8*y(q).\nAnswer: 1881*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1301, -2601, -3903, -5207, -6513?\nAnswer: -7821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -765 - -765. Let p be -2 + 0\/(2 - 0). Suppose 6*g - g - 24 = 4*x, -4*x - g = 0. Sort z, x, p, -33 in ascending order.\nAnswer: -33, p, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 26327?\nAnswer: 26331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4286021?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + j**2 + 0*j**2)*(2*j - j**2 - 2*j) - 50*j**2 + 50*j**2 - 2*j**4 as a*j**3 + w*j**4 + h + y*j**2 + g*j and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -564, -564, -572, -594, -636, -704?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 1. Let j(w) be the first derivative of w**3 + 11*w**2\/2 + 5*w + 2. Let c(t) = -5*a(t) + j(t). Factor c(x).\nAnswer: 3*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*w - 30*w - 359*w)*(2 + 1 + 0) in the form h + x*w and give x.\nAnswer: -1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740369914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**2\/2 + 6*p. Let f(a) = 18*a - 26. Let x(g) = -2*f(g) - 22*y(g). What is the derivative of x(c) wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 2. Let f be l(-6). Suppose 4 = -f*y + 2*y. Let i be 24\/14 + (-8)\/4. What is the nearest to 1\/3 in y, 1\/5, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-5460) - (-68991)\/(-2030).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 8)*(3*f - 3*f + f)*(64 + 7 + 13).\nAnswer: -420*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111903917.\nAnswer: 107, 149, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6 - 10 + 10 - m + 3*m**3 - 4*m**3 - 6*m**2. Let w be p(-6). Solve w*r = 4*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 9*l + 10. Let o be t(-8). Suppose 1 + 1 = h. Let z(g) = -4 - 5*g**h - g**3 - 1 - 6*g + o. What is z(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*r + 2100*r - 1029*r.\nAnswer: 250*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**3 + 24*y**2 - 12*y + 12. What is l(8)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*a - 6*a**2 - a**2 + 1 - 84*a to w*a**2 + h + g*a and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28155957 not equal to 28155956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -2\/5 (c) 185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238870987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6573\/1323 + 2\/63 + (22 + -2)*-4.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 12*g**2 + 7*g + 2*g**2 + 2*g. Let i(v) = 11*v**2 - 8*v. Let n(l) = 6*c(l) + 5*i(l). Find the second derivative of n(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*s - 173 = -d + 234*s, s + 698 = 4*d. What is the least common multiple of d and 1540?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 347 = -1221. What is the remainder when 260 is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25 + 5499\/221)*-1. Which is the third smallest value? (a) v (b) 1\/4 (c) 1 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4, -k + 3*q - 4 = 6. Suppose -k*f + f = f. Which is the nearest to f? (a) 0 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -318*k + 349*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/27 + 122\/189. What is the biggest value in n, -5, -4.8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**2*g - 1657*a**2*o**2 + 28*a**2*o*y + 2*a*g*y + 259*a*o**2 - 15*a*y + 3*o*y wrt a?\nAnswer: 10*g - 3314*o**2 + 56*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 5*k + 2. Let s be g(-5). Suppose 2*h = -s*w + 32, h - 5*w + 0*w - 34 = 0. Suppose 0 = -14*p + h*p - 120. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 38 + -38 + 0 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 - 6402*n - 6405 = 0. What is n?\nAnswer: -1, 2135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*k**2 - k**2 - k**2)*(-40*k**2 - 51*k**2 - 15*k**2) to the form q*k**4 + x + b*k**3 + m*k**2 + a*k and give q.\nAnswer: -1060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4*p\/(p\/(p*p\/p**(-8)))*(p**3)**(1\/6) assuming p is positive.\nAnswer: p**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -11620 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/9 (b) 4 (c) -93 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -859*y**6 - 12*y**3 + 15082*y**2 + 3*y wrt y.\nAnswer: -103080*y**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198 + 135. Let h = 3 + q. Let t be ((-2)\/h)\/((-5)\/(-15)). What is the third biggest value in t, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212291388?\nAnswer: 2, 3, 1965661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 12, n + 3 = 3*q + 7. Suppose q = -5*k - 3*d, 5*k - 17 = d + 3. Suppose -g + 10 = 4*g + 4*h, -2*g + 4 = -5*h. Solve t + g = k*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.075 - 0.085. Sort -1\/7, -0.22, z in ascending order.\nAnswer: -0.22, -1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/(-1248)*16)\/(3*(-2)\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21169?\nAnswer: 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*i + 1618925, 0 = -3*o + i + 2707562 + 2149143. What is o rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287 + 279. Sort m, -5, 0.3, -0.2.\nAnswer: m, -5, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3345215 or 3345218?\nAnswer: 3345218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 4. Let o(s) = -2*s + 5. Let k(d) = d**2 - 4*d - 7. Let p be k(6). Let m be o(p). Put m, z, 2 in ascending order.\nAnswer: m, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102141 (base 5) in base 15?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (116\/290)\/(7\/(-10))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 + -170. List the prime factors of f + 152 - 4\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211829859 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -72038 less than -71950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11873 a factor of 492966960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let j(m) be the third derivative of m**7\/2520 - m**4\/24 - 3*m**2. Let w(o) be the second derivative of j(o). Give z(w(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*n = n - 2400523 - 2186567. Is 81 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -86?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*k, -x + 0 + 6 = -k. Let s = -1 - x. Find the common denominator of 95\/8 and (-41)\/s + (-1)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let f = 2 + -5. Determine o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 8279 = -8149 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -610 - -605. What is the second smallest value in 4, 6, 17, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6120 + 6120. Solve z*h - 52*h = 52 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.1 - 12. Suppose m = 2*m - 2. Let n(a) = a**3 - 3*a**2 + a. Let l be n(m). What is the closest to h in l, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -4995, 9, 1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -54442.5.\nAnswer: 108885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millimeter in micrometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113235301\/199760764 - -95\/476756. Let r = -2351 + 985067\/419. Let o = h + r. What is the third smallest value in -1.1, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 275\/30*(-8)\/(-20)*6\/33?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i, -2*w + 4770 = -3*i + 8*i. List the prime factors of w.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 24 - (-12 - 29 - -29)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -19. Suppose 0*p + 20 = 5*p, y*k - 172 = -4*p. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-12))\/((-4)\/(-162)). Suppose 85 = 4*h - r. Suppose -901 = 16*l - 33*l. What is the remainder when l is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270588 (base 10) to base 15\nAnswer: -55293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, and 1 f when three letters picked without replacement from {c: 2, q: 1, s: 2, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0637 and -12348.\nAnswer: -12347.9363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 28 = -4*g, 2*u - 4*u = -2*g + 14. Suppose -g = -s + 5. Calculate the greatest common factor of 84 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2031, 4062, 6093, 8124?\nAnswer: 10155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*r - 5 + 5)*(-2*r - 1 + 1) - 5*r**2 - 1 + 1)*(3*r - 7*r + 2*r)*(3*r + 8*r - 14*r) in the form k + q*r**3 + y*r**4 + a*r**2 + j*r and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -1 + -9 + -18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0180073 rounded to four dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5826*0.2.\nAnswer: -1165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3682936, -7365876, -11048816, -14731756, -18414696, -22097636?\n\"Answer: -3682940*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -748*a - 165. Does 11 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-10 + 2 + 2). Suppose -v*g - 3*b - 36 = 0, -g - 5 = -5*b + 4. Let j be 2 + (2 - g\/(-3)). Solve y - 2*c = j - 10, -10 = -5*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o**2 - 5*o**2 - 4*o**2 + 5*o**2. Let l(c) = -c + 3. Let d be l(0). Let z(w) = -d*w**2 - 2*w**2 - w**2. Give a(z(y)).\nAnswer: -144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = 90*o - 155 - 720 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 1520*o - 144400 = 0. What is o?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Let t = -21.9 + 23. Let n = -0.1 + t. Sort -0.2, c, n in descending order.\nAnswer: c, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/11, 3, -4 in descending order.\nAnswer: 3, -1\/11, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - d - 4*d = -16, 3*d - 12 = 2*z. Let t be ((-18)\/(-12) - 2\/4)\/z. What is the closest to 0.1 in -24, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.88 - -9.88. Let k = -63 - -121. Let n = -121\/2 + k. Sort n, y, -4\/5.\nAnswer: y, n, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 times 55?\nAnswer: -6545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - p**4 - p**2 + 3*p**3 - 3*p**3 + p**4 + (4*p**2 + 2*p**3 - 4*p**2)*(4*p + 0*p - 5*p) + 4*p**4 - 4*p**2 + 4*p**2.\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50239 - 50250 = 5*p + 2*z, 158 = -5*p - 51*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 35. Suppose 3*j - 58 = -2*r, 3*j + 5*r - 61 = 12. Let h be s(j). Let x = 38 + h. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 12*x = -715. Suppose -x*y = -58*y - 30. Which is greater: y or -83\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16261 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y)*(-2 + 2 - 3)*(-y + 2 - 2).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t + 0 + 0 + 5*t to the form l + g*t and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -531959*a**4 - 6*a**2 - 540721*a - 230 wrt a?\nAnswer: -6383508*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-24)*9)\/((-270)\/(-75960)). Are 1053 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -72. Let r = -12504940.99971 - -12504996. Let z = j + r. Round z to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 0 - (-4 + -1). Suppose -6*c + 1 = -3*c - k, 5*c = y*k + 15. Let s(t) = 2. Let g(r) = -r + 3. Let v(n) = -3*g(n) + 5*s(n). Give v(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1b8b398 (base 14) to base 5\nAnswer: -12012040314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.5 plus 20646087?\nAnswer: 20646336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 14. Let n = 29\/63 - -1\/9. Sort n, a, -5 in ascending order.\nAnswer: -5, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 377358859 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2225?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*21.4\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, c: 1, p: 2, e: 3, k: 1, r: 3}. What is prob of sequence ka?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) 0.05 (b) -1\/2 (c) 15334\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6, 1 in decreasing order.\nAnswer: 6, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 4433?\nAnswer: 4441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 522823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 46 = -24. Suppose 0 = -h*b + 3*c + 490 + 665, 2*b + 5*c = 493. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4829*k**2 - 3949*k**2 + 6986*k**2.\nAnswer: -1792*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(-341)\/(-620)*30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1524, 13060, 44386, 105396, 205984, 356044?\nAnswer: 565470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 - (-23 - -18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123325\/14 - 8815. Let y = -1731\/4 - -423. Calculate the common denominator of z and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1 - 1 + 0 + 2 + (1 + 1 - 1)*(-1 + 1 + 2))*(2 + 0 + 0)*(-14*s - 5*s + 4*s).\nAnswer: -150*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1006104.289929 - 1006032.29. Let s = -66 - -138. Let d = r - s. What is d rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 6. Let x be 8 - 7\/7*-41. Suppose 92 + x = 47*o. Solve 3*v = l*r - 9, -o*r + 5 = v - 0*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 6097458?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.12348 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkakhkhhaaotk. What is prob of picking 1 a, 1 h, and 2 k?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 85*k**2 - 400*k + 500.\nAnswer: -5*(k - 10)*(k - 5)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -3, 5, 1, -2.\nAnswer: -95, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1416144.27 to the nearest one hundred.\nAnswer: 1416100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + u - 22 = 0, 0 = k - 0*u + 2*u - 18. Suppose -1287 = -0*j - 11*j. What is the highest common factor of k and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15042945 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*g - 168 = 162*g. What is the highest common divisor of 42 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 + j**3 + 504*j**2 - 32*j + 611646 wrt j.\nAnswer: -4*j**3 + 3*j**2 + 1008*j - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118420 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-10))\/(27\/270). Find the common denominator of 77\/54 and f\/27*(-4 + 0 + 3).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 2*m**2 - 3*m - 1. Let o be t(0). What are the prime factors of ((-928)\/128)\/(o\/48)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2523 less than -78?\nAnswer: -87.2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1247826.\nAnswer: 2, 5, 1247826","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2354*t - 24299 - 83807 = 110816 for t.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-3 - -1 - -1). Let n be (-20)\/b*15\/10. Suppose 0 = 5*s - 0*s + n. Find the common denominator of s and -19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/88000 and 89\/21120.\nAnswer: 528000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -948, 54, 0.2, -5, 2 in descending order.\nAnswer: 54, 2, 0.2, -5, -948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b**4*p**3 - 2*b**4 - 55*b*p + p**3 wrt b?\nAnswer: -156*b**2*p**3 - 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q**3 - 1 - 7*q + 4\/5*q**5 + 0*q**4 + 0*q**2. Differentiate c(j) with respect to j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-30 - -42) - -47?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.1, -2\/5, 7730, 0.13?\nAnswer: 7730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (44\/(-880))\/((-3)\/(-15)). Which is the nearest to -0.2? (a) -5 (b) h (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q**4 + 3489*q**3 - 14016*q**2 - 41964*q - 24480 = 0.\nAnswer: -170, -8\/7, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x + 12*x + x. Let j(r) = -5*r - 6. Let f(s) be the first derivative of 11*s**2\/2 + 13*s - 2. Let g(t) = 6*f(t) + 13*j(t). Give g(d(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((-32)\/60)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 34331066?\nAnswer: -34331065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76852 + 168885. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(8) - -3*(sqrt(8) + sqrt(8)*1)) + sqrt(8))*-4)\/(sqrt(484) - (sqrt(484) - (sqrt(484) + sqrt(484)*1))*5)*-5)**2.\nAnswer: 12800\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1010000100101?\nAnswer: 1010000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q. Suppose q = 6*u - 37 + 7. Solve -12 - 8 = u*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -12\/23, 1\/8, 9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i**3 + 104*i**2 - 8*i + 51. Determine o(-13).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -138185106645?\nAnswer: 138185106643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3568 and 1310.\nAnswer: 2337040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 126*y + 1. Let p be z(7). Let i = 1348 - p. Suppose 2*t - 7*t = -i. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 g when four letters picked without replacement from ddggmjjsjjjdwjssj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1741 - 1356. What is the greatest common factor of n and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -75*u + 78*u, u + 12247 = 4*n. Is 2 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -1, -4, 9, -3, -65 in ascending order.\nAnswer: -65, -4, -3, -1, 0, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-4\/5)*v)\/v)\/(v\/(v**(8\/9)*v)*v))**(-1\/58)*(v*v**0*v*v*v**(1\/11)\/v)\/(((v\/v**(-4))\/v)\/(v*v**3)) assuming v is positive.\nAnswer: v**(59491\/28710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Suppose -3*c - 3*f = -2*c - 9, p = 2*f + 4. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 25. Let r = -20 - k. Let l = 1.4 + -0.4. What is the closest to r in 4, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*o + 65*o - 5249906. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l**2 - 3*l**2 - l**2)*(-135*l - 323*l + 285*l) as j*l**2 + d*l**3 + k + c*l and give d.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Let z(o) = 10 - 44*o - 2 + 8*o**3 + 6*o**2 + 12*o - 10*o**2. Let c(l) = l - 4. Let h be c(6). Let f(w) = h*s(w) + z(w). Factor f(a).\nAnswer: 2*(a - 2)*(a + 2)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 18*g**2 - 71*g + 9. Give w(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10*38*64315\/25726?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72670 divided by 14\nAnswer: -36335\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 19. Let j be -111599999 + (-2 - p - -2 - -3). What is j rounded to the nearest one million?\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 4*g**2 - 4*g + 7. Calculate the remainder when (-2)\/8 - (-50)\/8 is divided by r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (108\/(-90))\/(2\/(-5)). Suppose -2*p + 73 = 4*x - 57, 4*p - 255 = -r*x. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, -2\/7, 22, -4\/3, 1\/6, 1\/2, -11\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, k: 4, o: 9}. Give prob of sequence kcck.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 18 - 7) + 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {c: 3, n: 5, z: 1, l: 7}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r - 20484 + 3249 = -414*r for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 5. Let v(q) be the second derivative of -q**3\/2 + 9*q**2\/2 - 22*q + 1. Calculate 5*d(t) + 3*v(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 12) to base 3\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 3*l - 2*w - 102, l = -3*w + 82. Let s = 171 - l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 306 + -306. Suppose z = -4*x - 9*x + 30173. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -425212 (base 6) to base 5\nAnswer: -2103411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 8, -8604 = 2*y - 7*y - 3*m. Let i be (-12)\/9 + y\/9. What is i rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.453 + 0.047. Let s = -520\/2739 + 2\/249. Which is the smallest value? (a) s (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-174284 - 238*a + 174284)*(-2 + 0 + 4) to the form u + o*a and give o.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 208318374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**4 + 2*p**4 - 4*p**4)*((61 + 6*p - 61)*(3 - 6 + 2) + (13*p + p + p)*(2 - 2 - 2)).\nAnswer: -72*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - (-6 + 11)) + (7 - 15).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2707\/18851 + 2\/2693. What is the smallest value in 2, z, -0.88, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92724181723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 2*h + 21*h)*((-3 + 1 + 0)*(-1 - 2*h + 1) + 0*h - 4*h - 4*h) in the form y*h**2 + k + a*h and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 120*t**5 - 13*t**3 + 41*t**2 + 13*t + 3.\nAnswer: 7200*t**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -37*n + 13419. What are the prime factors of w(-5)?\nAnswer: 2, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**2 - 1\/120*t**6 + 0*t + 1\/24*t**4 - 1\/12*t**5 + 2\/3*t**3 + 0. Give a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-24 - -23 - -14).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 1\/90*o**5 + 0*o**3 + 0 + 1\/360*o**6 + 0*o**4 - 5*o**2 + 0*o. Solve w(h) = 0 for h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((11 + 4 + 1)*(-1 + 1 + 4) - 7 + 8 + 0 - 3)*(0*j**2 - j**3 + 0*j**2) to s + y*j**3 + w*j + p*j**2 and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 - (-23)\/5. Let j be (-36)\/(-2) + (-3 - -1). Solve -m - j = -v*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 + -92.42. Let g = c + -1.58000077. Round g to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5 + 23109*k**4\/2 + 949125*k**3 - 43787811*k**2\/2 - 35851893*k + 23280060 = 0.\nAnswer: -3767, -103, -2, 1\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*r - 16*r - 3*k - 1, -4*k + 6 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 648, 643, 638?\n\"Answer: -5*s + 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -59*i + 284. Suppose 60 = -7674*q + 7686*q. Calculate x(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.37 (b) 10548 (c) -179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.5858046701 minus 3?\nAnswer: 246.5858046701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2918 - 2911. Solve 0 = -10*o + y*o - 6, -5*o = -4*c + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 112884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*o = 59, -11 = 2*j + 2*o + 9. Let b(u) = -u**3 - 10*u**2 + 5*u + 6. Let g be b(j). Let p be (0 - -1)*g\/9. Solve p - 2 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 43349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 380981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 9*r + 5*r + 23)*(1 - 1 - 2*r).\nAnswer: 8*r**2 - 46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 10449135836853\nAnswer: -10449135836852.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let i = 0.1 - 0.1. Let m be -5 - (-129)\/(-54)*-2. What is the nearest to i in z, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:24 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17\/2)\/(2\/(-3)*148\/(-1776)). What is the greatest common divisor of 603 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/88)\/((-49)\/84)*33?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 + 2*g. Let v(m) be the second derivative of 4*m**3\/3 + 426*m. Calculate v(w(z)).\nAnswer: 48*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12673\/175 less than -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(24)\/sqrt(64) - sqrt(6)) + sqrt(12)\/(3*sqrt(6)) + 5.\nAnswer: -sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 3) in base 11?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i - 11. Give k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1\/5, 17, -0.4, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11692 is divided by 355.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.453 - -0.283. Sort 0.4, c, -1.9.\nAnswer: -1.9, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3*o**2 - 63802*h**3*o - 9035*h**3 + h**2 - 7*h + o**2 - 2 wrt o?\nAnswer: 2*h**3*o - 63802*h**3 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*q - 13 = -5, 4*i + q + 7 = 0. Let r = 11 - 7. What is the closest to 0 in -0.4, i, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/10)\/(-3))\/((-22)\/(-165)*6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1))\/(4\/(-36)*3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -112 + 149. What is the smallest common multiple of a and 2?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 324*f**4 - 1638 wrt f?\nAnswer: 1296*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + 44 - 44)*(0*j + 4 + j - 8)*(0*j + j + 5*j).\nAnswer: 18*j**5 - 72*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 12*v - 41)*(9*v - 2 + 21*v + 0).\nAnswer: 360*v**2 - 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -245*p - 84*p + 7*p + 74704. What is the highest common divisor of 319 and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119)*-1*1)\/(sqrt(700)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -79, -122, -165, -208?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvz when three letters picked without replacement from {z: 2, v: 2, a: 5}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 2*f**2 + 6*f. Let a(v) = v**3 - v**2 + 7*v + 1. Let n(p) = -2*a(p) + 3*c(p). Suppose 0 = 14*s + 1 - 29. What is n(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020010002 (base 3) to base 7.\nAnswer: -130244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a day in minutes?\nAnswer: 2112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-10))\/((-12461)\/(-43980))*(1\/1)\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 6*g - 1. Let b be p(-7). Let n(k) = 2*k + 2*k + k - b. Let s(l) = 11*l - 13. Let h(f) = 13*n(f) - 6*s(f). Let z(r) = 11*r**2. What is z(h(d))?\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 16 - 16)*(0 + 3 - 1)*(4*q + 37 - 37) + 4*q**2 - 25 + 25.\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 321.4734 kilometers?\nAnswer: 321473400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -731, 0, 5 in decreasing order.\nAnswer: 5, 0, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 193*c - 1357. Calculate o(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 30*y - 64. Calculate h(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3\/5, 4\/7, 0.097, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10 + 7*j - 14*j + 13*j. Let u(w) = -2*w - 3. Let r(n) = 3*o(n) + 10*u(n). Let x(s) be the first derivative of -2*s**2 - 1. Give x(r(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 119*n**3\/3 + 846*n**2 + 1302. Find the second derivative of a(g) wrt g.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 + 6*z - 1. Let y(t) = t - 20. Let u be y(22). Let d(a) = a**2 - 2*a + 1. Let o(f) = u*d(f) + h(f). What is o(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 12 = -4, 4*k = 2*o - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(9\/(-4) - -3). Suppose -3*x - 2*j + 0*j + d = 0, -2*x + 3*j = -17. Calculate the highest common factor of x and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 17883726?\nAnswer: -17883730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-3\/31)\/(((l\/l**1)\/l)\/(l**(-1\/3)\/l)) assuming l is positive.\nAnswer: l**(-40\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 1. Let t(a) be the first derivative of a**5\/30 - a**4\/24 - 23*a**3 + 246. Let g(q) be the third derivative of t(q). What is g(m) + 2*o(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 77114 + -5\nAnswer: 77109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l**4 + 72*l**3 + 125*l**2 + 54*l - 8. Let j(h) = 3*h**4 + 24*h**3 + 42*h**2 + 18*h - 3. Let i(n) = -8*j(n) + 3*z(n). Let i(k) = 0. What is k?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/3868010 and -117\/170.\nAnswer: 3868010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59157976.\nAnswer: 2, 821, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11347.\nAnswer: 7, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 63) + 111 - 148.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428 divided by -184794.\nAnswer: 214\/92397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 51. Let q be (-12)\/96 + (-66)\/h. Solve q*f + 3*w - 27 = 0, -2*f + 6*f + 4*w = 32 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 - 114. Let l(p) = -p + 3. Suppose 5*b - 3*f + 18 = 0, -4*f - 40 = 2*b + 2*b. Calculate the remainder when j is divided by l(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, m: 3, r: 4, k: 2, d: 6, a: 1}. What is prob of sequence rddd?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1008*u - 11087. Give o(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbg when three letters picked without replacement from wgownofwoobnonb.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.55255 meters in kilometers?\nAnswer: 0.03355255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -161\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 588 = -2*f. Let p = f - 262. Let i = p + 181. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32\/5 of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1689*i + 741*i + 1 + 678*i.\nAnswer: -270*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2676*o = 2664*o - 24. Put 4, 1, -47, -3, o in decreasing order.\nAnswer: 4, 1, o, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5946279773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -14*n**2. Let y(x) = 21178*x. Determine y(s(o)).\nAnswer: -296492*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Suppose 4*o - 8 + 0 = w. Suppose r = 2*q - 6*q + 64, 0 = -o*q + 2*r + 42. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 5 - u - 4)*(50 - 30 - 26).\nAnswer: 6*u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*w - 14 = 0. Let b be 1\/(w\/8 - -1). Suppose -b*r = -11*r + 57. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1007970*n**4*z + 6*n**2*z + 20*n*z + 632287*n wrt n?\nAnswer: 12095640*n**2*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*s**4 + 161241*s**3 - 846792*s**2 + 725949*s + 1088802 = 0. Calculate s.\nAnswer: -13442, -3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 378 - 193. Suppose -5*q = -k + 5*k - 309, -3*q - 2*k + x = 0. Suppose 4*z - q = 3. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 18 - 161*f**3 + 45*f**3 + 10*f**2 - 4*f**2 + (-3*f**2 + 0*f**2 + 0*f**2)*(f - 2*f - 2*f) to k + p*f**3 + r*f**2 + s*f and give p.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 35*x**2 - 30*x**2 + 97*x**2 - 33*x**2.\nAnswer: -4*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 565699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26688 and 576.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.1, -4, 2348\/99.\nAnswer: -4, -0.1, -0.01, 2348\/99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/(-35) + 1 - 2\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*j**2 - j**3 + 32*j**2 + 4*j**4 - 17*j**2 + 2 as d*j**3 + w*j + t + l*j**2 + i*j**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-137)\/4110)\/((-12)\/2760)\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-304)\/(-228)*-6*1\/(-360)*-6.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 428 and 2268?\nAnswer: 242676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284 or -3?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 12*y**2 - 27*y + 3. Let z be u(-9). Suppose 133 - 148 = -z*l. Let v = -2 - -1. Put v, l, -2 in decreasing order.\nAnswer: l, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1438 = j + i, 2*j - 3*i - 3167 + 306 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -112 and -1079 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 c when three letters picked without replacement from {q: 2, c: 1, a: 2, k: 1, p: 3, r: 10}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**2 + 6*c**2 + c**3 + 2*c - 34*c**2 to z*c**3 + v*c + a*c**2 + b and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 1463.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297292060?\nAnswer: 2, 5, 13, 157, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -129*h + 85. Calculate o(3).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 309 and 1437701.44.\nAnswer: 1438010.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -2 - -2)\/(-1). Suppose 3*v - 26 = 5*g, 3*g = v - 4 - 10. Is k greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57\/1849381958 + -39196958930872607\/2761127263294. Let f = 14196 + l. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12b + 3?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -12455291.79 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + sqrt(384) + sqrt(384) + sqrt(384)*-1*4 + sqrt(384))\/(-6*3*sqrt(300)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) + (-217948)\/438368. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**3\/6 + 7*z**2\/2 + 2*z. Does 11 divide q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1529116*d**2 - 1529116*d**2 + 15*d**3.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.4 - 2.4. What is the closest to h in 0, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615*v**2 - 614*v**2 + 24*v**3 - 22*v**3.\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22068 divided by -3\nAnswer: 7356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-1)*l))**7*l**(1\/5)\/l*l*l*l*l*(l*l\/((l**(2\/5)*l)\/l)*l)\/l)**(2\/7) assuming l is positive.\nAnswer: l**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 2. Let v be d(5). Let p be (-705 + 705)*1\/3. Factor p - 32\/5*s**v - s**4 + 14\/5*s + 23\/5*s**2.\nAnswer: -s*(s - 1)*(s + 7)*(5*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 5*a**2 - a + 2. Let l = 98 - 103. Let r be s(l). Let q be (0\/2)\/(-2) + 2. Solve -q*c + r = 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-33))\/((-2)\/(-24)) - -7. Suppose 5*i + 109 + 64 = u*k, 3*i - 81 = -k. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4)*(-55*h + 3*h - 108*h)*(2 - 4 - 2).\nAnswer: 2560*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 3, 1\/24?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*k**2 + 4*k**3 + 14*k**2 + (6*k + 14 - 14)*(-4*k**2 - 2*k**2 + 4*k**2).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3006 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 10 + 15 - 808*l + 810*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(98) - (sqrt(98)*2 + sqrt(98) + sqrt(98))) + 4 + 4*(sqrt(2) + 4*sqrt(50)) + 1.\nAnswer: 7 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {v: 5, a: 11, j: 2, c: 1}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909525071?\nAnswer: 3, 47, 13542731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, t: 2, z: 2}. Give prob of picking 1 z and 2 t.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 99231539 to the power of 1\/2, to the nearest integer?\nAnswer: 9962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-2)\/(-3))*-3. Let m(o) = 20*o**3 - 6*o**2 + 2*o + 1. Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43842.\nAnswer: 2, 3, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -679 or -692?\nAnswer: -679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*((1 + sqrt(304) + 4)*2 - (sqrt(304) + -3*sqrt(304) + 1 + -2)))**2.\nAnswer: 12672*sqrt(19) + 179460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2835 + 6172. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 109*1\/(5\/(-5)). Let d = 125 + w. Solve -2*l + 4*f + 3 + 13 = 0, 4*f + d = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 181*h - 105*h - 402 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4737091 and 1310.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20883164084 - 17.2\nAnswer: -20883164101.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -78*c**2 - 3*c + 2. Let k(m) = -39*m**2 - 2*m + 1. Give 4*h(d) - 7*k(d).\nAnswer: -39*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78044719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6276 = -3*y + 3*k + 15975, -y + 2*k = -3234. Let j = -3089 + 5557. Suppose -3*u - j = y. Round u to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*j - 1324, 2*y + 64 = j - 192. List the prime factors of (-3 - -1)\/(2 + j\/(-130)).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60007, -120016, -180025, -240034, -300043?\nAnswer: -360052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 less than -407.4568?\nAnswer: -569.4568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*o - 14, 2*p - 4*o + 14 = p. Calculate the smallest common multiple of 6 and (-4 + 10)*2\/p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((3\/21)\/((-24)\/(-21))). Suppose -528 = -v*r + 576. What is the highest common factor of r and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 - 27*b - 39. Let i be l(-17). Suppose 4*m = m + i. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 2, u: 1, b: 1, i: 2, g: 1}. Give prob of picking 1 g, 1 x, and 1 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m - 78. Calculate x(-7).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i = 3*f - 3, 4*f - 2*i + 2 = 0. Let s be (-4)\/(-2 - (f + 1)). Let d = -4.34 + 4.54. Put d, s, -5 in descending order.\nAnswer: s, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, q: 3, e: 2, a: 3}. What is prob of sequence ee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982 != 360793\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6378090343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by 14.\nAnswer: -205\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*h + 20 = 4*w + 202*h, -4*w = 5*h - 36 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 0.4 (c) 7 (d) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 22. Let z(u) = 259*u + 101. Determine -5*s(g) - z(g).\nAnswer: -264*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 685*s - 25428. What is g(43)?\nAnswer: 4027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnmdppi. What is prob of picking 1 g, 1 i, 1 d, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 505 + -7405?\nAnswer: -6700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/4 + 711*n\/4 - 6804 = 0 for n.\nAnswer: 48, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5\/3)\/s**(-15) assuming s is positive.\nAnswer: s**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324508344 divided by -162254172.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(-1*sqrt(11)) + -5)*4.\nAnswer: -20 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:40 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1919 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783643.\nAnswer: 7, 111949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/20 - 2\/(5 + -7)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*p - 1417721 = -1422566 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506859 is divided by 22986?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -743192, -743187, -743146, -743051, -742884?\nAnswer: -742627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 494969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39461569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61073787 rounded to 4 decimal places?\nAnswer: 0.6107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 660 by -23.\nAnswer: -660\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u. Let c(s) be the first derivative of 8*s**2 + 0 - 7 - 9*s**2. What is q(c(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*b + 26 = 0, 0 = 148*h - 152*h - 5*b + 38. Sort 1\/7, h, -1\/36 in decreasing order.\nAnswer: h, 1\/7, -1\/36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(120\/344) - -9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.72 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = -3*c + 5*n - 14, -2*n = -2*c - 432. Let l be (-3)\/6 + c\/(-14). Suppose l*v - 11*v = 248. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**2 + 24*a + 16. Let k(n) be the first derivative of -5*n**3 - 71*n**2\/2 - 49*n - 11. Let q(b) = -4*k(b) - 11*s(b). Factor q(y).\nAnswer: 5*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 16 = -8. Suppose -5*g - 44 = -2*d, 3*g - i = 5*g + 4*d. Let x = 10 + g. Solve 5*o + x - 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14852 and 0.04?\nAnswer: 594.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 2)*(-2*s + 0*s + s) + 5 - 1 + 2*s + 16*s + 3 - 3 - 2*s + (3 - 3 - 1)*(-4*s + 5*s + s) + 0*s + 4*s - 2*s as x + b*s and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.312 - 237.312. Let p = -354 - a. Let i = p + 111.1. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + 111853?\nAnswer: 111867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - 25*k - 7. Let h be b(-12). Find the third derivative of -17*t**2 + 4*t**6 - 1 + 39*t**2 + 2*t**h - 20*t**2 wrt t.\nAnswer: 480*t**3 + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 87 (b) 0.176 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 388, 997, 1848, 2935, 4252, 5793, 7552, 9523?\n\"Answer: -w**3 + 127*w**2 + 235*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75196340 to the power of 1\/2, to the nearest integer?\nAnswer: 8672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8 - 17 + 4)*(-2 + 4 + 4) + 0 + 3 - 2)*(-2*k**2 + 3*k**2 - 3*k**2) + (4*k**2 - 3*k**2 + 0*k**2)*(-3 + 4 + 1).\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 16\/3)*(480 + -314)\/2158.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*h - 8*h. Is (h\/(-20))\/(3\/444) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1100 and 333400?\nAnswer: 3667400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 8. Let h be a(5). Let k(w) = -4*w + h*w - 8*w - 4*w. What is the tens digit of k(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h. Let x(z) = 52*z. Calculate x(v(g)).\nAnswer: -208*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 1. Let g(t) = -125028*t. Calculate g(l(p)).\nAnswer: 125028*p**2 + 125028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0*g**3 - 2\/3*g**5 - 17\/45*g**6 - 5*g - 2\/9*g**4 + 0 - 4\/63*g**7 + 0*g**2. Determine r so that y(r) = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 97. Let b(s) = 17*s**2 + s. What is the remainder when a is divided by b(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3609081050.\nAnswer: 2, 5, 72181621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/121 (b) 0.04 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*l - 11 + 44, 0 = 5*x + l - 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 3. Let j be g(0). Let v(i) = i**2 - 3*i. Let l be v(j). Let y(c) = -5*c + 7 - 9*c - 11*c + 39*c - 7*c - 6*c. What is y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 14*w - 14. Let h(c) = 5*c - 5. Let d(l) = 11*h(l) - 4*z(l). Let m be d(4). Sort 4, 2, m in increasing order.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -0.0137748\nAnswer: 0.00826488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/(2\/(-3)). Let t be (-2)\/(3\/(-9) - h). Let w = 1 - t. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 6)*(-41*c - 1541 + 1541) + (-4*c + 4*c + 2*c)*(-3 + 2 + 3))*(-16 - 17*c + 29 - 12).\nAnswer: 629*c**2 - 37*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4. Suppose -5*k = -s + 2 - m, -3*s - k - 45 = 0. Let v = -5 - s. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -3*t + 6, 4*d + t = 10. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, o: 2, q: 9, d: 4, k: 1}. Give prob of sequence eo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 471\/((-100323)\/142)*(-390)\/(-4)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7414729.51 to the nearest 100.\nAnswer: 7414700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 5. Suppose 0 = s*w + 20 - 2. Let i = w - -8. Solve -2*h = 2*x + i, 3*x = h + 5*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.481662 months in decades?\nAnswer: 0.05401385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/13)\/((-60)\/279). Let x = 21\/13 - w. Calculate the common denominator of x and -13\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and 93\/63438056?\nAnswer: 190314168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-361)\/(-19) - 10 - (-6 - 57\/(-6)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322152 (base 7) in base 3?\nAnswer: -22211012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15760326?\nAnswer: 2, 3, 17, 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.24632908 minus -0.2?\nAnswer: -2.04632908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h - 43 + 612 = -291 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/30498 and 103\/9962680.\nAnswer: 29888040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2475*b**3*m*n + 90*b**3 - 11080*b**2*n - 3*b*m*n - 19*b*m + b*n + b + 2*n with respect to m.\nAnswer: 2475*b**3*n - 3*b*n - 19*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 6*v + 13. What is the remainder when 52 is divided by m(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {k: 2, u: 2, e: 1, x: 1, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201 - -146. List the prime factors of c.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from jmmjnnjjnjjmm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*z + 82*z + 108*z as q*z + t and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11700 + 11742. What is the highest common factor of 2128 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84063618 to the nearest integer?\nAnswer: 9169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11185 (base 9) to base 12\nAnswer: -4388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.054 + -3.046. Let x = d + 2.1. What is the nearest to x in 0.4, 3, 28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1106, 1098, 1094, 1100, 1122, 1166?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -872*s**2 + 7876*s - 255. Give z(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323 (base 4) to base 13.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -9. Suppose h - v - 11 = 0. What is the greatest common divisor of h and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34052980 by 4.\nAnswer: -8513245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5012164 to the nearest integer?\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/7 and 49\/15522?\nAnswer: 108654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -239*d**2*m**2 + 161*d**2 - 937*d - 181684708*m**2 wrt d?\nAnswer: -478*d*m**2 + 322*d - 937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 256576?\nAnswer: 7\/256576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + -13. List the prime factors of 6\/j - (-145)\/13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80432 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -94760930 + 3?\nAnswer: -9476092b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 38 = p, 9 + 14 = -3*w - 2*p. Let u(b) = 4*b + 49. Let i be u(w). Solve -i = -o - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-102 - -1) + 10 + -37 + 3 + 29.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-554)\/(-5) + 8\/(-10). Let b be 1\/(-2 + 3\/2). Let y = 9 - b. What is the highest common factor of y and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, t: 1, b: 1, x: 1}. What is prob of picking 1 l and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1202.1 + -1199. Which is greater: o or -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273932 + 12*b + 273932.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5797 - 5823 = -2*f - 2*m, -4*m = -2*f - 34. Solve 2\/11*k**f + 4\/11*k - 10\/11*k**2 + 16\/11 = 0 for k.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 78.6684 years?\nAnswer: 0.0786684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*c - 352 + 1294 = 0, c = -5*o - 2337. Let p be -467*(-2 + (-18)\/(-3)). Let y = o - p. What is y rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7995784 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*z - 0 + 1, 0 = -4*z - 4*u + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3783 by 1261.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 3*t**6\/10 - 21*t**5\/20 + 5*t**4\/4 - t**3\/2 - 4*t. Find d such that z(d) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 19*c - 2. What are the prime factors of d(-15)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2. Let s(h) = -6 + 2 + 4 - 4*h. Give j(s(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 58576 divided by 1046\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.271 + -0.129. Which is the third smallest value? (a) 0.5 (b) x (c) -4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1)*((-5*b + 2*b + b)*(4*b - b - 2*b) + (-4 + b + 4)*(-2*b + 4*b + 0*b) - 969*b**2 + 3975*b - 3975*b) in the form d*b + q*b**2 + l and give q.\nAnswer: -2907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 - 5*l**2 - 5*l - 1. Calculate d(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*m**2 + 7*m**3 + 83*m**2.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14311357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*q = 76 - 68, 2*p - 5*q - 4 = 0. Solve 26\/5*v**p + 4*v - 24\/5 - 3\/5*v**4 - 1\/5*v**3 = 0 for v.\nAnswer: -2, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 1)*(-88)\/(-33). Solve 19*w + 17 = 3*q + 17*w, 4*q = w + a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 873742 plus -5?\nAnswer: 873737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-3*-6 + 2*sqrt(65)*-2 + sqrt(65))\/(sqrt(5) + -3*sqrt(125) + (sqrt(30)\/sqrt(6) - sqrt(5))*-2).\nAnswer: -15*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h. Let d(q) = -23*q. Let l(g) = -92*g - 1288. Let m(p) = 2. Let w(r) = -2*l(r) - 1288*m(r). Let a(u) = -23*d(u) - 3*w(u). Calculate z(a(n)).\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 2*x - 8. Let z be g(5). Suppose 9*j = z*j + 10. Solve -5*b - 8 - 2 = -j*q, -4*q = 4*b + 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1276651 is divided by 425464?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d - 13. Let i be ((-4)\/6)\/(12\/72). Let s(k) = -6*k + 6. Let f be (-3 - 0) + -6 + 0. Determine f*s(r) + i*w(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/(-156))\/(27\/(-108))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = -2*p - 0*t, -2*p = -5*t + 19. Let s be 3\/6*p\/(-1). Suppose 5*y = -5*u, 4*y - s + 41 = 4*u. Solve -k - u*c + 8 = -2, k = 4*c + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 47828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171\/(-1482)*-442*(-10)\/3*(-2)\/4.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.31 + 0.62. Let c = -0.28 + x. Let d = c - 0.02999996. What is d rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (1 - (1 - 2)). Let j = 115 - 116. Is l at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 598202.8 kilograms to grams.\nAnswer: 598202800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 9 = 18*m. Solve -3*b + 1 = -4*a - 4, -5*a - 40 = m*b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8217*v**2 - 8209*v**2 - 8211*v**2 + 49277*v**2 - 8216*v**2 - 8215*v**2 - 8208*v**2 - 9*v.\nAnswer: v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:09 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 22 - (-175 - -170).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*3 - (4*(0 + sqrt(3)) + sqrt(3) + sqrt(3))**2.\nAnswer: -108 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31106 - 13337. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 25\/5) + 8. Let h = 1.2 + -0.2. Let q = 1 - h. Which is the second biggest value? (a) q (b) -5\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 4*(18\/(-8) - -3). Let k be (-25)\/165 - j\/(-12). What is the smallest value in 3, 24, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1773995 is divided by 1089?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 303 = -10*u + q, 2*u = 5*q + 291. Let a = u - 153. Solve o + a + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - k - 1)*(-440 + 440 + 55*k**2) + 138*k**2 - 8218*k**3 - 25*k**2 + 8220*k**3 to the form n*k**2 + w*k**3 + g + b*k and give n.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 545737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24889711 - 5942711. What is j rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*l = 2*d + 150, 4 = 4*l. Suppose 0 = 3*h + z - 241, 0 = -h + 3*h - 3*z - 157. Let t = d - h. Let f(q) = -8*q - 1. Calculate f(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384.2044744 rounded to 1 dp?\nAnswer: -384.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7774, -7758, -7742?\n\"Answer: 16*b - 7790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 2*p**4 - 139 + 34 + 107 - 117*p**2 + 2*p to a*p + i*p**4 + d*p**2 + u + q*p**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2042752 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)\/m)**(6\/5)\/(m*m**(-2)\/m)**(2\/83))**(13\/3) assuming m is positive.\nAnswer: m**(-8372\/1245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 3*o**2 - o**2)*(o + o - o + (2 - 3 + 2)*(4*o + 0*o - 3*o) + 653*o - 61*o + 375*o).\nAnswer: -1938*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234a (base 15) in base 12?\nAnswer: -29774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (-1 - (-285 + 272 + (1 - -1)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1341085 and 366?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14204841 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -290, -628, -1102, -1712, -2458, -3340?\nAnswer: -4358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:06 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 24 = -3*i. Is i\/(-78) - 35130\/(-26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -h + 36. Suppose 3*m + 4*j - 92 = 0, -m + 27 = -0*m + 5*j. What is the remainder when h is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 2 + 3*g**2 + 0 + g**2. Let u be b(3). Calculate the highest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -10*t + 577. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 1, i: 1, q: 9, k: 1, d: 1}. Give prob of picking 1 i and 1 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.72 and 7.\nAnswer: -40.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*r + 60, 0 = 3*r - 5*r + 4. Let z = -54 + b. Solve z = 3*m - 8*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 250255 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 12*m - 20. Suppose 25 = 3*q - 4*a, -2*a + 7*a = -m. Suppose 6*t - 2*t + q*s = 677, 2*t - 5*s - 319 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10880)\/256*-2*((-68)\/(-20) + -3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.2. What is the biggest value in d, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63347568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from xitirrtxrii?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350 divided by -1312.\nAnswer: -175\/656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 - -13.3. Let w = h + -11.08. Round w to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -c + 21, -3*c = 2*c - 5*b - 5. Let w = c + 203. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (sqrt(22)\/(sqrt(297)\/sqrt(3) - sqrt(11)) + sqrt(8)\/(sqrt(4) + sqrt(16)\/sqrt(4))*2)**2 + -1).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 8:10 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 268 = 164. Let d = h - -150. Calculate the remainder when 40 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtvt when four letters picked without replacement from {g: 1, t: 2, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 45*g + 216. Let h(x) = 9*x**2 + 135*x + 639. Let v(i) = -17*f(i) + 6*h(i). Suppose v(b) = 0. Calculate b.\nAnswer: -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56661611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose 12*m - 240 = 7*m - a, -5*a + 213 = 4*m. Let d = g + m. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81750, 79604, 77460, 75318, 73178?\nAnswer: 71040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11373.999998451 - -11374. What is d rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5262 + -2.\nAnswer: -5264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, r: 2, c: 4, w: 4, h: 1}. Give prob of sequence rr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/70)\/((-4)\/60*3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28, 90, 192, 334, 516, 738?\n\"Answer: 20*q**2 + 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 4.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 38, 1, 2, 4, 1483 in ascending order.\nAnswer: 1, 2, 4, 9, 38, 1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/9, -17, -3.5.\nAnswer: -17, -3.5, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2950947, -1\/4, 2 in decreasing order.\nAnswer: 2950947, 2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7590 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39501a (base 11) to base 10.\nAnswer: -621598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/10*9*128\/(-288)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 565775257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8340972 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 + b. Let w be y(-1). Suppose 0 = 7*n - 47 - 128. Let s = 27 - n. Is w less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -y + 5*o, 2*y = -2*y - 3*o + 251. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 428648 and 2288.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*t - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, -2 in ascending order.\nAnswer: -16, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6631 divided by 19.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 51 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53443?\nAnswer: 13, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**3 - 2*m**2 + m. Let t = 746 - 437. Let w = 310 - t. Determine y(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaaa when four letters picked without replacement from {a: 3, g: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 98627, 98630, 98633, 98636, 98639, 98642?\n\"Answer: 3*p + 98624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -7*l**2\/2 + 5*l - 67. Give p(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.14 times -0.3364?\nAnswer: 52.861896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 3 + (-4)\/(-1). Let z be 0*2\/(-6)*n. Suppose 38 = m - z*m. Calculate the remainder when m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235782227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*l - 70, -4*l = -y - 17 + 61. Calculate the smallest common multiple of y and 13182.\nAnswer: 131820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 295446307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - 19. Let r = -30 - o. Calculate the remainder when 28 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - (2 + -1)) - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 78 = -3*j + 72, 8*j + 5*y + 16 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47005029.\nAnswer: 3, 47, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 3*u)*(-4*u - 4*u + 6*u + (3 - 5 + 0)*(7*u - 2*u - 3*u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u - 1. Let y be k(0). Let g be (-22)\/(-11) - (-10 - y)\/1. Let r = g - 6. Solve r*s - 5*p + 3 = -7, 0 = s - 5*p - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1161.43 + -1167. Let f = j - -5.569999251. What is f rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -103 in -3, -50, -1\/10, 5?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0*n**3 + 1\/210*n**5 - 6*n + 0 - 1\/441*n**7 + 1\/315*n**6 - 1\/126*n**4 + 0*n**2. What is l in t(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*((-2)\/6 - 10\/15). Let u = 28 + r. Let h = 0 - 0. Solve h = -t + 3*m - u, 0 = -5*m + 15 + 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 36 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/l**(4\/9)*l))\/l)\/(l**23\/l))\/((l\/l**(-6))\/((l\/(((l*l**(-1\/29)\/l)\/l)\/l*l))\/l)))**(2\/7) assuming l is positive.\nAnswer: l**(-15410\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.059 (b) 1\/8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/(9\/(-12)). Let k = 4 - 13. Let z be ((-6)\/4)\/(k\/24). Solve 0 = -2*n + 2*p - 10, -r*n - z*p + 11 = -9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -788, -1182, -1576, -1970, -2364?\nAnswer: -2758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2651 + 2684 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - r + 0*r)*(-3 - 2 + 3) - 2*r - r - 5*r + (23 - 8 - 28)*(3*r + 0*r - r) as d + x*r and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 196*m**5 - 2*m + 3 - 260*m**5 wrt m.\nAnswer: -1280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 3*q**4 - 4*q**2 + 111*q**2 - 111*q**2 + q**4 + (-3*q**3 + 4*q**3 - 3*q**3)*(q - 1 + 1) as v*q**3 + y*q**4 + m*q**2 + a*q + r and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 + -84 - 82 - -11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*h + 2. Suppose h*f = -0*f + 100. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -289124490, -289124489, -289124488?\n\"Answer: j - 289124491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/12194 and -145\/12?\nAnswer: 73164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.5 (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w**2 + 15*w + 24. Let x be k(-6). Let r = 633 - x. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13331102 + -3231?\nAnswer: 13322321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1130318 and 4.7.\nAnswer: -5312494.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 41. Let u be o(-8). Let p = 1.9 - 2. Let z = -2970.9 + 2971. Which is the nearest to p? (a) u (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13416? (a) 5 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1141211 + 114?\nAnswer: -1141042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-2)\/9*42\/(-168)*24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12653.8 - -1303.8. Let d = y - -11358.4117. Let g = d - 8.4. Round g to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(104)*-1)\/sqrt(8).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4508108ug in tonnes?\nAnswer: 0.0000000000004508108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439 = -1317*m + 878 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o*s**3 + 527*o*s**2 - 1070*s**5 + 14*s**4 - 7*s**3 - 29*s**2 + 10 wrt s?\nAnswer: -6*o - 64200*s**2 + 336*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -214, -60544, -1\/5, -1\/8, 0.5, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 50 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -266555 - 4*a + 266584 + 2*a in the form c*a + j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -38 + -1 - (0 - (6 - -2))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1952*d**3 + 973*d**2.\nAnswer: 11712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78560678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -913 * 0.5567.\nAnswer: -508.2671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 2, 3\/2, 4\/17, 5775?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 17504 + 4*w**4 + 2*w**4 + 4*w - 17503 + w**2 as c + l*w + t*w**2 + j*w**4 + z*w**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c - 3*c + 4*c - 6 - 5*c. Let y be h(-7). Let t be (y - 0) + 12\/(-16). What is the closest to -1\/4 in 1, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k + 100168 = -198390 - 188968. What are the prime factors of k?\nAnswer: 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/6 - 661\/3. Suppose -d = -6*d + q - 1770, -3*q = 0. Let i = p - d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 50408.39kg?\nAnswer: 50408390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(-13*h + 85*h + 31*h) to g*h + q and give g.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6346 = -3*x - 3*x + 6766 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, -5, -3, 2057 in descending order.\nAnswer: 2057, 17, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*t - 26*t - 235*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1397099.026+-9.01\nAnswer: -1397108.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjfttjttssjstjs. Give prob of picking 1 t, 1 f, 1 j, and 1 s.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 + 4*r - 23. Let b(m) = -6*m**2 + 5*m - 23. Let j(g) = -4*b(g) + 5*x(g). Let v be j(0). Is 11 a factor of -1 - (0 - 0) - v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2877545464 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36810 and 8180?\nAnswer: 73620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**5\/60 - 2*a**2 + 1. Let c(b) be the second derivative of k(b). Let y(u) = -u. Calculate c(y(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43060 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ememeee. Give prob of picking 1 e and 1 m.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*h**2*t**2 + 538*h**2 + h*t wrt t.\nAnswer: 146*h**2*t + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.197 + 9.957. Which is the nearest to 2? (a) l (b) -5 (c) 3\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1718 and 0.54?\nAnswer: -927.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -1575125?\nAnswer: 1575122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 0*t**2 - 5*t**2 + (0*t - t + 8*t)*(4*t + 2*t - 5*t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-792)\/(-144)*-9*10\/(-9900)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-14) - 55*(-36)\/(-1848)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 54 + 210. Let p = k + 57. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/157 (b) -4 (c) -0.5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1448 - 2619*y + 725 + 723 + (2 + 4 - 4)*(-y - y + 3*y).\nAnswer: -2617*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-1 - (-1 + 1)). Solve q*d - 6*d = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 160873558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*d, 3*d + 1 = -r + 3. What is the tens digit of (28\/6)\/(d\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c6 (base 15) to base 3.\nAnswer: -1011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109\/24 - 39\/8. Which is the nearest to s? (a) 2 (b) -1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/14)\/f*f\/(f**(-4\/11)*f))**(-3\/8))**(-25) assuming f is positive.\nAnswer: f**(-4875\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-1 + sqrt(567))*5 - sqrt(567))**2 - (sqrt(77)\/(sqrt(11)*-1) + sqrt(7) + (sqrt(63)*1 - sqrt(7)))**2).\nAnswer: -54414 + 2160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 0.3, 20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 1. Let q be j(-3). Let s be 19\/36 + q\/18. Let m = -3\/4 - s. Is m > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:36 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6186805111?\nAnswer: 6186805111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 165, 148, 129, 108, 85, 60?\n\"Answer: -u**2 - 14*u + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (45\/(-18))\/((-2)\/4). Suppose 6 = -2*k + b*k. Solve 0 = -2*l + 10 - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4802170 is divided by 32447?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (175\/112)\/(1270\/24384)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:46 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*i = -23499 + 3687. Let w be 6*((-70)\/(-4))\/1. Let k = w - i. What is the highest common factor of 27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 64 = -o. Let b(s) = -34*s + 2. What is the units digit of b(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 5. Suppose 0*t + 2*t - 12 = 0. Give m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a*u**3 - 183*a - 14041*u**5 - 113*u**2 wrt u?\nAnswer: -36*a - 842460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72\/307 + -20933\/3684. Suppose 3*f + 1760 = 5*f - 4*r, r - 1785 = -2*f. What is the common denominator of f\/15*(-2)\/8 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2365 and 466120?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.123 + -39322341646.\nAnswer: -39322341646.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 766 - 767. Which is the third smallest value? (a) x (b) 3 (c) 92 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 182 in 0.4, 2\/23, -13, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 less than 6442620783?\nAnswer: 6442620782.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usuusshshu. What is prob of picking 1 h and 1 s?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5231 + -5230.5. Let f be (-12)\/(-3) - (-1)\/(-1). Put f, t, 1 in increasing order.\nAnswer: t, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 61. Solve -w*p + 9*p - 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/6 + 7*a**2\/2 + 2*a. Let i be q(0). Solve -i = -5*t + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2870\/19 - 584\/19*t - 2\/19*t**2.\nAnswer: -2*(t + 5)*(t + 287)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 8915 + 17881 = 8900 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18289\/8 + -2295. Calculate the common denominator of p and 145\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 571730?\nAnswer: 2, 5, 57173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p + 12. Suppose 45 = x + o, -2*x + 49 + 36 = p*o. Let a = 82 - x. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 579 + -579. Which is the fourth smallest value? (a) -0.5 (b) j (c) -5 (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n - 124. Calculate the remainder when t(-55) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 8:17 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 8, y: 1, g: 2}. What is prob of sequence pp?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -346 + 343. Let f be 12\/10*m*(-30)\/84. Which is the biggest value? (a) -3\/2 (b) f (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**2 + 4119108*p + 823822.\nAnswer: -2*(p - 411911)*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (444\/16 + -1)) + (-3)\/12\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13463.05ml in litres?\nAnswer: 13.46305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 804.461846 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 392, 1384, 3314, 6494, 11236, 17852?\nAnswer: 26654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(-1 + 2 + 0) + (-1 + 1 - 1)*(-1 + 9 + 1))*((9 - 9 - 2*m)*(-3*m + 2*m + 3*m) + 0*m**2 + 3*m**2 - 4*m**2 - 4*m**2 - m**2 - m**2).\nAnswer: 121*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 898122*n. Let s(z) = 264*z + 1. Determine s(l(p)).\nAnswer: 237104208*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-1)\/(-15))\/(22\/(-55))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 24 + 26. Put 8, -1, f, 19 in decreasing order.\nAnswer: 19, 8, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, k: 2, t: 4}. Give prob of sequence ky.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0*q - 3*q - 160, 4*a + 2*q = 106. Suppose -3*x + 233 = a. Let c = x + -32. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.21? (a) -8 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21688a55 + -10?\nAnswer: -21688a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from ettqththkt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/3 (b) -454012\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/17 (b) -0.07 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 4 = 2*s, -2*s - 103 = 3*p - 210 + 96 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 36. Calculate the remainder when 21 is divided by 3*r\/18*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 - 128*x**2\/3 - 796*x\/3 - 1072\/3.\nAnswer: (x - 134)*(x + 2)*(x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20580, -41153, -61726?\n\"Answer: -20573*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -421.007215 - -421. Round a to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 10) + -10 - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/12 + 16\/(-6). What is the common denominator of (-5)\/s*(-474)\/(-60) and 17\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**3\/3 - 3*c**2 - 3*c. Let r be j(-4). Let b be (-4 + r)\/(4\/2). Let g(u) = u**3 + u + 1. Determine g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004225262 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52890 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d - 3*d - 4*d)*(-d - 3*d + 2*d) + 8*d**2 - 8*d**2 - d**2 + (-3*d + 4*d - 6*d)*(0*d + 0*d - 3*d) to y*d**2 + z + a*d and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9) - sqrt(27)\/(sqrt(3)*-3 - sqrt(3))).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.741 + -8.741. Let a = 0.19 - -0.31. Put 0, a, -1\/5, h in descending order.\nAnswer: h, a, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 - 2492\/(-126). Let g = 41 + -25. Suppose -5*n = -6*d + 2*d + a, -4*n = 3*d + g. Solve -4 = 2*z - d*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:41 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*6\/(-10) + 204\/(-90). Sort -0.2, u, -34\/5.\nAnswer: -34\/5, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 4*d**2 + d - 2. Let k be f(-2). Let x(s) = -s**3 + 6*s**2 - 5*s. Let a be x(k). What is the highest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133983253.\nAnswer: 13, 97, 899273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -7514989\nAnswer: 7514989.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -4*w + 84, 317*w - 50 = -z + 315*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 + 15021*p**3 - 13539*p?\nAnswer: 40*p**3 + 90126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 3253, 11003, 26119, 51061, 88289, 140263, 209443?\nAnswer: 298289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 15 + 5. Suppose -s = 3, 4*s = 2*h - 13 - k. Solve 0 = 4*b - h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6051895 nanograms in tonnes?\nAnswer: 0.0000000000000006051895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-8))\/((-1*4\/10)\/((-20)\/(-1300))).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9068.755t?\nAnswer: 9068755000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 10*f - 7. Give g(-12).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32402 and 4828.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*o + 1665 + 1965. Let i(l) = -5*l - 7. What is the remainder when o is divided by i(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - s - 2100 = 0, -3*o + 0*o + 5*s = 1552. Let q = 962 + o. Suppose 143 = -5*r + q. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/10 + (-2)\/5. Let w(p) = -15*p**3 - p. What are the prime factors of w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/((-83106)\/(-108))*2\/(-6)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {h: 3, k: 2, t: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 403?\nAnswer: 5\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -2760b0b?\nAnswer: 2760b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*j*m**2 - f**2*m**2*p**3 - 3*f**2*m*p + 3*f*m**2*p**3 - j*m**2 + 61*j*p**3 wrt j.\nAnswer: 2*f**2*m**2 - m**2 + 61*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1338 - 1357. What is the nearest to 2 in 1\/5, 0.3, 0, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c. Let f(k) be the second derivative of -5*k**4\/6 - k**3 + 1359*k. Calculate f(t(a)).\nAnswer: -490*a**2 - 42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z + 7. Let t(a) = -a - 2. Let m(c) = -6*l(c) - 21*t(c). Let o(v) = -3*v**2. Determine o(m(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 246014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c - 45 = 31 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 16) to base 15.\nAnswer: -17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10))**33\/(v**(-5)*v*v**(-1\/6)*v**27) assuming v is positive.\nAnswer: v**(-2117\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 12*b - 1060 = -y, 3178 = 3*y + 5*b. Is 44 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**4\/20 - n**3\/10 - 18*n - 6. Let i(d) be the first derivative of g(d). Factor i(q).\nAnswer: 3*q*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(10*z**3 + 5*z**3 - 3*z**3).\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = q - a - 5, -3*q - 3*a - 3 = 0. Suppose 5*w = -g - 3 - q, 3*w = g + 4. Solve 2*k + 2 = -w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-82)\/(-41)*3\/(-2). Let k(c) = -10*c**3 - 3*c**2 - 3*c. Let i(d) = 10*d**3 + 4*d**2 + 4*d. Give r*i(q) - 4*k(q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 665056490 a multiple of 819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**3 - 4*h**2 - 2*h + 3. Let z(p) = -5*p**3 + p**2 + p - 1. Let y(k) = 3*u(k) + 8*z(k). Let d be y(2). Let t(v) = -v**2 + 7*v - 5. Give t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/30 - 175*n**4\/24 + 307*n**3\/2 + n**2 + 117. What is the derivative of p(v) wrt v?\nAnswer: 4*v - 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344355 by -2087.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 8*o**2 + 8*o + 7. Let g be i(-7). Let d(z) = 2 + 0 + 1 - 2*z**2 - 3*z + g. Let v(u) = -6*u**2 - 8*u + 8. Determine -8*d(n) + 3*v(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741 is divided by 98.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 19) + 12 - -3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177770 divided by -58.\nAnswer: 3065","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -2\/7, -0.1, -0.3, 1 in increasing order.\nAnswer: -33, -0.3, -2\/7, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 598217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 43*c - 2523 = -3671 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + ((sqrt(567) + (sqrt(567) - (-2*sqrt(567) + sqrt(567) + sqrt(567)) - sqrt(567)))\/sqrt(9))\/((sqrt(9) - sqrt(144))*-6).\nAnswer: sqrt(7)\/18 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/3 + (-1)\/3. Suppose -4*b + 4 = -2*o - 2, -9 = g*b + o. Is 4\/13 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -848906, -848921, -848936, -848951, -848966?\nAnswer: -848981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 430*u**2 + 1698*u + 44. Calculate a(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i\/(i\/i**(1\/2)))))\/(i*i**(-7\/9)))\/(i**27*(i**(4\/11)*i)\/i*i*i*i))**(1\/18) assuming i is positive.\nAnswer: i**(-5957\/3564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/4 - -29\/4. Put 4, s, 0.3, -5 in descending order.\nAnswer: s, 4, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508304 to the power of 1\/2, to the nearest integer?\nAnswer: 2347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = 302486*v - 302492*v + 66 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 3:19 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 442.9 times 107?\nAnswer: 47390.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*g - 27. Suppose o = g*h - 19, 2*h - 5*o - 37 = -10*o. Solve -29 = -w - 5*c, h*w - 5*w + 3*c = 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - 2*z + 2*z + (z - z + z**2)*(8*z**2 + 0*z**2 + z**2) to l*z + u + q*z**3 + r*z**4 + c*z**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7416813*n**2 + 3213808.\nAnswer: -14833626*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10*a + 54. Does 10 divide r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2486 divided by -1\nAnswer: 2486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -80744 and 2.\nAnswer: -161488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134126131 plus -272?\nAnswer: -1134126403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1825877.2 days?\nAnswer: 260839.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4, -3*g + 6 = -5*c + 2*c. Is c at most -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.5 and -0.16.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5*(-673)\/(-2692))\/((-16)\/(-10))*14\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18098.53 centuries to millennia.\nAnswer: 1809.853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1 + 0*a - 3*a**2 - 2*a + 5*a**2 - a**3. Let k be x(2). Let w(z) = -5*z - 17. Let g(c) = -c - 4. Let t(l) = 9*g(l) - 2*w(l). Determine t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 6. Let k be w(-2). Let o(s) = -s + 3. Let v be o(-3). Sort -3, v, k in ascending order.\nAnswer: -3, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 48. Let d be (10\/(-25))\/(q\/(-10)). What is the tens digit of d*12\/16 + 7*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 15. Let b(s) be the second derivative of s**3 - 23*s**2\/2 - 296*s. Let v(p) = 2*p - 8. What is o*b(m) - 17*v(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 3 = 4*z - 22*n, 4*n - 21 = -3*z. Let g(w) = -w + 1. Let p be g(-8). Solve -z*f + p + 3 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -1, 3\/5, 2, -2 in ascending order.\nAnswer: -2, -1, 1\/4, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (12 - (-18 + 31)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - g**2 - 3*g - 1. Let r be a(-1). Let w be (-6)\/(-24) + 6 + -3 + -3. What is the closest to -0.1 in 2, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from mozo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007134361 rounded to seven decimal places?\nAnswer: 0.0007134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5613239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2 - 0)\/8)\/(20\/777064). Let c = p + 9721. Find the common denominator of 9\/4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 573 = 33*l, 2*m - 1056*l - 59 = -1053*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 4. Let r(i) be the first derivative of -i**2 + i - 3408. What is j(r(d))?\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/15283 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-42)*(-18)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, p: 5}. Give prob of sequence pepe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**4 - 3*s**4 + 0*s**4 + (2*s**2 + 2*s**2 - 3*s**2)*(5*s**2 - 4*s**2 + 0*s**2) - 2*s**4 - 4*s**4 + 4*s**4 + (2*s**3 - s**3 + 0*s**3)*(-4*s - s + 4*s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 4*t**2 - 4*t - 3. Let u be q(5). Suppose 5*a - 3*j - 8 = 5, 0 = -u*a - 4*j. Suppose -2*w = a*w. Round w to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1111132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.37 - -0.03. Let p(x) = x**3 - 6*x**2 + 2*x + 21. Let t be p(4). What is the closest to 0.1 in b, t, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82.979 - 0.021. Let j = r + 100.7. Let h = j - 18. Which is the third smallest value? (a) h (b) -9 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144489*i**5 + 7367*i**2 - 53*i.\nAnswer: 8669340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 527?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-13 + (-120)\/(-10)). Which is the closest to r? (a) 22\/17 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 3, -165387 in increasing order.\nAnswer: -165387, -23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 10:59 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3. Calculate the lowest common multiple of 2 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8432671, 16865340, 25298009, 33730678?\nAnswer: 42163347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3363 - 574. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -5.1173.\nAnswer: -4.1173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(1\/3))\/k**(-3\/16) assuming k is positive.\nAnswer: k**(89\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 12, -2*u - 10*x = -6*x - 8. Suppose 2 = -2*l - 4*p, -4*l + 4*p - 20 = -64. Let a(o) = 0*o**2 + 3*o**2 - 6 + o**3 - l*o + 1. What is a(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0193215 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -81. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:04 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*v + 15*v**2 - 3*v**3 + 21 - 9 - 37*v.\nAnswer: -3*(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 128*v = -129*v - 96178, -4*q + 96154 = 3*v. What are the prime factors of q?\nAnswer: 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100101 + -102?\nAnswer: -2100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eieeaae?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -113339 + 13*u + 226675 - 113341. Calculate b(-10).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-864)\/9936 - 1\/(-23)*-90 - -50?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*y + 17 = 2*x, -2*y + 5 = x. Let s be 26\/8 + x\/(-28). Let j(u) = -2*u - 4. Let m be j(-3). Solve m*k + 3 = -s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3683\/130 + -354\/13. Find the common denominator of 25\/11 and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 * -15536\nAnswer: 1320560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 977863*i*z - 185*i - 822879607*z wrt i.\nAnswer: 977863*z - 185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = -0*w. Suppose -5*z + 6*u - 3*u = -21, 14 = 2*z - w*u. Let c = 6 + -4. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/4 + 3857*z**2\/2 + 3717183*z - 7442082.\nAnswer: (z - 2)*(z + 3858)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42043 + -15?\nAnswer: -42061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*h**3 - 132*h**3 + 2*h**3.\nAnswer: -69*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 k when four letters picked without replacement from {k: 5, i: 7, b: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, f: 10, l: 1, z: 1, b: 4}. What is prob of sequence fzb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1785341085 to the nearest integer?\nAnswer: 42253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -288.17 times -78\nAnswer: 22477.26","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 346606152 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39695 is divided by 2086?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (-348)\/30)*5. Let p = j + 181. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 3*l - 89 + 74, 2*l - n = 4. Suppose 0 = 2*z - 23 + 7. Let p = z + -3. Solve -p*o + l - 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 - -174.99889. Round l to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9))\/(4247\/(-93)). What is the closest to 1 in 0, -4, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 32 - 3*f - 27*f**3 + 30. List the prime factors of i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3999 + 4376 = 15*p + 14*p. Solve 2*j + 5*f + 2*f = -p, -4*f = 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00488233395 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-115)\/(-140) + (-5)\/20. What is the nearest to 1 in -0.05, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 + 11*c - 1. Let y(f) be the first derivative of -f**4\/4 + f**2\/2 + 6910. Calculate -g(p) + y(p).\nAnswer: 2*p**3 - 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 15*w**2 + 11*w. Let u be x(-18). Let n = -53 - -38. Is u\/10 - (-6)\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679*x**2 + 262*x**3 + 689*x**2 - 2047*x**2 + 679*x**2 - 5*x.\nAnswer: 262*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/477209 and 77\/2?\nAnswer: 954418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 396.9 and -17655.\nAnswer: -7007269.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:26 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 9 - 9*n + 26 - 5 in the form g*n + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 8*s - 7604. Suppose -x - s = -4*d, -1671 = -5*d + 3*x - 418. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 15 = -3*p, -3*w - 2*w - 3*p = 15. Suppose w*g = -g + 2. Let i be (1\/g)\/(5\/(-4)). What is the closest to i in -1\/4, 2, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.4596275 to 2 dps.\nAnswer: -89.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 861549.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2181900 and 504.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*((2*sqrt(288)*-3 + 2)**2 + ((sqrt(288) + 1)*-5 - (3 + sqrt(288)*-2)) + -3).\nAnswer: -62169 + 1944*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*j**3 - 364*j**2 + 1068*j + 396.\nAnswer: -4*(j - 3)*(j + 33)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4472)\/(-19565))\/(1000\/(-70)).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 6*z + 8. Suppose 28*c = 2*c + 156. What is b(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 6*o**2 - o + 17. Give b(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000669 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3*x**2 + 2*c**3 + 3778*c**2 - c*x**2 + 3*c*x - 78466*x**2 + 5*x wrt x?\nAnswer: 6*c**3 - 2*c - 156932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1062515\/4 + 1)\/(87\/1624*14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*t - 5208 + 3512 - 14720 = 0. What is the remainder when 287 is divided by t?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4600 - -33?\nAnswer: -4567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 13925805 to the nearest 1000.\nAnswer: 13926000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*j**5\/11 + 404*j**4\/11 - 536*j**3\/11 - 236*j**2\/11 + 554*j\/11 - 168\/11 = 0. What is j?\nAnswer: -1, 4\/9, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4. Let y(q) = -6 - q + 51 - 54. Determine 14*p(r) + 6*y(r).\nAnswer: -6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/15)\/(9\/(-120)). Let v(f) = -f**2 - 8*f + 6. Calculate the smallest common multiple of (-3)\/(-12) - 14*50\/z and v(-8).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 6*o**2 + 4*o + 28. Let c be z(4). What is the highest common factor of 9 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -49*m + 5. Let g be c(-5). Is (-5)\/((-3)\/(g + -1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(-1 + 1 + 1)*(-16*t + 121 - 121)*(t - 3 + 1 + 3).\nAnswer: 48*t**2 + 48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(2\/(-12))\/(80\/(-16080)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.087376, -6, 1\/7, -1?\nAnswer: -0.087376","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 86, -2 in decreasing order.\nAnswer: 86, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -17*t**4 - 2*t**3 - 2*t**2 - 31. Let r(i) = 33*i**4 + 5*i**3 + 5*i**2 + 61. Let x(n) = 5*j(n) + 2*r(n). Differentiate x(a) with respect to a.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -6d2bd?\nAnswer: -6d2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12540 = 2879*c - 3297*c for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/550)\/((9308\/390)\/179)?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26834200 to the nearest ten thousand.\nAnswer: 26830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -ca51?\nAnswer: ca52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:09 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 29. Let x be -4 + (-95)\/(-35) - m. Let o = 1.8 - -0.2. Which is the nearest to x? (a) o (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 18. Let p be v(18). Suppose -3*a = -p*a. Let t be 3 - a\/((1 - -1) + 0). Solve -t*s = -5*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -1\/6*s**3 - 1\/24*s**4 - 1\/4*s**2 + 0 - 3*s. Let m(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnmmrmdnndmrmmdmmmrn. What is prob of picking 1 n and 1 m?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -305\/2*b**3 - 2*b**4 - 184*b**2 + 75 + 527\/2*b = 0. What is b?\nAnswer: -75, -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**22*j)\/j))\/(j\/j**(1\/22))*j**(-1\/8)\/j**(-31) assuming j is positive.\nAnswer: j**(697\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 27*b + 35*b - 129*b + 35*b + 30*b. Let v(j) = 91*j. What is v(l(t))?\nAnswer: -182*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {p: 4, w: 3, c: 6}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 9*v - 2616*v**2 + 2617*v**2 - 19.\nAnswer: v**2 + 7*v - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-10) + (-3)\/5. Which is the nearest to 2? (a) 1\/8 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1036, -1439, -1832, -2209, -2564?\n\"Answer: h**3 - h**2 - 407*h - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5162233 + 5161727.0426. Let m = -506 - d. Round m to three decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(300))*1 + -1*sqrt(300)*1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 1. Let x(f) = f - 2. Let z(a) = -a - 1. Let c(i) = -x(i) + z(i). What is 3*c(p) + 2*n(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 l when four letters picked without replacement from lkllkloeo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3\/12)*(-1 - (-11 + 11))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -191069*x - 1146333. Give a(-6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4\/7 - 1608*y**3\/7 - 286758*y**2\/7 - 16917648*y\/7 + 17206017\/7.\nAnswer: -3*(y - 1)*(y + 179)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*j = 172*j + 42 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32950?\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2037631 is divided by 254701?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681640.\nAnswer: 2, 5, 17041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*j + 13157 - 13037, 4*j - 2*i - 84 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3)*(-2*l - 1 + 1) + (1 + 10 + 4 + (2 - 2 - 2)*(-4 + 3 - 1) + 1 + 1 - 5)*(-l + 2 - 2).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1*6 + -3)*3.\nAnswer: -18*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -13) + -1 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - -517 - 54\/(8 + 1).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.12 (c) 0.1 (d) -2\/5 (e) -0.2 (f) -899\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762647505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -162127 (base 9) to base 14\nAnswer: -28615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -12 - 1691\/114.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 305.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 1\/2*c**3 - 1\/60*c**5 + 0 + 0*c - 1\/6*c**4 - c**2. Give b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 4*w + 26 = 0, -5*z + 5*w = -45. Find x such that -319*x**5 - 3*x**4 - x**4 + 320*x**z + 3*x**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 0.06 (c) 1256 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 11. Let s be l(-14). Suppose 3*o - s = -3*u + 72, o = 4*u. Suppose 0 = -3*t - 0*t + 15. Solve o = t*h, -2*i + 0*i - h = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 14*l**2 + 116*l - 95. Does 44 divide q(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372.361 years in decades?\nAnswer: 137.2361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00517 + 0.0065. Round t to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 2*h. Let l be ((-9)\/6)\/((-3)\/h). Suppose 49 = w + q, l*q = 2*w + 2*w - 231. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 563 = -0*j - 4*j, -2*j + 274 = -2*c. Calculate the highest common factor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/2 and 61\/9214?\nAnswer: 9214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {t: 1, e: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -305124590 to the nearest 100000.\nAnswer: -305100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3378, 3392, 3428, 3498, 3614, 3788, 4032?\nAnswer: 4358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by -25154?\nAnswer: 24\/12577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r**2 - 7*r**2 - 9*r**2.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, -5, 9, 19, -2.\nAnswer: -111, -5, -2, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**6\/45 - b**5\/10 - b**4\/6 - b**3\/9 + b**2 - 1. Let z(f) be the second derivative of k(f). Factor z(t).\nAnswer: -2*(t + 1)**2*(4*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4242011 and 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*n**4\/3 - 22715732*n**3\/3 + 38129036*n**2 - 2433728*n\/3 - 8112560\/3 = 0. Calculate n.\nAnswer: -1\/4, 2\/7, 5, 202814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*q + 13*q - 5*q)*(-4 + 3 + 0)*(1 + 2 - 4)*(-868 + 149 + 289) as o*q + k and give o.\nAnswer: -6880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20562, 20266, 19958, 19620, 19234, 18782?\nAnswer: 18246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3 - 21*d**2*j**2*m - 290*d**2*j*m - d*j**2*m + 10885*d + j**2*m wrt d.\nAnswer: -6*d - 42*j**2*m - 580*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4430027.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1740666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10289 + 10617. What is the least common multiple of z and 1230?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42.4, 681, 1\/3?\nAnswer: 42.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 7*x + 3. Let q be o(7). Solve 2*g + 5*l = 13, -2*g - g + q*l = 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1406322 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35790?\nAnswer: 2, 3, 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48684 and 2.\nAnswer: -97368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -248 - -250. Solve s*k + 25 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 20 = -j. Let i be (-8)\/j - (-4)\/(-10). Suppose i = -2*v + 9 + 13. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/13 + 4\/13*k + 2\/13*k**2 = 0. What is k?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13094, -26187, -39280, -52373, -65466, -78559?\nAnswer: -91652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(164*k**3 - 38*k**3 + 174*k**3) + k**3 - 2*k**3 + 0*k**3.\nAnswer: -301*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 23430405142?\nAnswer: -23430405144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 251.3827nm to millimeters.\nAnswer: 0.0002513827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 174390, 348840, 523290?\n\"Answer: 174450*a - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 + 4*i + 3. Let y(q) = -45*q - 12. Let f be y(-1). Let u(j) = -f*j**2 + 15*j**2 + 4 + 24*j**2 + 13*j - 8*j. Determine 3*o(z) - 2*u(z).\nAnswer: 3*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f - 10*f + 4*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190 - -199. Let x(s) = -3*s**2 + 2*s - 3. Let m(j) = 16 + 2*j**2 - 3 + 11*j**2 - 9*j. Determine g*x(w) + 2*m(w).\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**3 - 6*u**2 + 3*u. Let a(v) = 6*v**3 - 5*v**2 + 3*v. Calculate 7*a(d) - 6*s(d).\nAnswer: 6*d**3 + d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + (1\/(-1))\/(-1). Let y = i - -7. Is y bigger than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(0 + (-1 + sqrt(637) + sqrt(637) + -5 - (-2 + sqrt(637))*-6) + 0))**2.\nAnswer: -50400*sqrt(13) + 1027301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3145310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7277326?\nAnswer: 2, 7, 17, 30577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68724524 is divided by 101.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 5*r + 49*r**2 - 3*r - 53*r**2 in the form v*r**2 + w*r + a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 1)*(-9)\/(-9). Let o be 4\/1*(8 - (-105)\/(-14)). Solve -u*d + 7 = -2*h - 0*h, -3*h + 6 = -o*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457269503.\nAnswer: 1163, 393181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0*(-14)\/224 - -9533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 7\/(-1))\/2. Let s(g) = 99*g**3 - 2*g**2 + 3*g - 1. List the prime factors of s(i).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-108)*-9*-9. Which is the nearest to -1? (a) g (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1481.4 + 585.7. What is c rounded to the nearest 10?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5}. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 4315*u + 2484*u + 2576*u to o*u**2 + w + k*u and give k.\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. Suppose -5*j = -4*f - 6 - h, 26 = -3*j - 5*f. What is the tens digit of (1\/j)\/((-2)\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 326, 549, 928, 1469, 2178?\n\"Answer: g**3 + 72*g**2 + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Let i(d) be the first derivative of 7*d**3\/3 + 39*d + 581. Calculate i(h(g)).\nAnswer: 7*g**4 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 106*k + 398. Calculate i(54).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*3*(-2)\/9. Let q(z) = -3*z - 3. Let l be q(i). Let n be (l\/(-2))\/((-3)\/8). Solve u + 5*w + n = 2*u, 4*u - 3*w - 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10656 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -35*k - 2. Let h(u) = -18*u - 1. Let w(g) = -2*g**3 + 3*g**2 + 4*g + 2. Let n be w(2). Give n*q(y) - 10*h(y).\nAnswer: -30*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q**2 + 5748*q - 11502*q + 81 + 155*q**2 + 5754*q.\nAnswer: 111*q**2 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4391998 is divided by 502.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - -0.1. Suppose -45 = 7*g - 4*g. Let h(z) = z + 17. Let t be h(g). Which is the closest to 1? (a) o (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -212, -407, -602, -797?\n\"Answer: -195*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -3*k**6\/40 + k**3\/3 - 5*k**2\/2 - 11. Let g(z) be the second derivative of a(z). Differentiate g(t) with respect to t.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 4*c. Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3683 = -482*g - 3065 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -237 (b) 4\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 72 + 2*s - 99 - 98 + 369.\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 10*h**2 + 32*h + 90. Give s(-8).\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4809\/(-54) + (-7715)\/(-138870)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = -1. Let l be 2\/(-5)*f\/2. Let m = -1 - -5\/4. What is the nearest to 1 in l, m, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 11, 3.\nAnswer: 3, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-3))\/((-3)\/(-9)). Let j(b) be the first derivative of 5*b**2\/2 - 10*b + 14. What is the units digit of j(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z**5\/7 + 356*z**4\/7 + 1352*z**3\/7 - 1056*z**2\/7 = 0 for z.\nAnswer: -4, 0, 2\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/9 at most as big as -320537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a hour?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/4)*m*m)\/m)\/(m*((m\/m**(4\/7))\/m)\/m)*m**(-1\/8)*m\/(m**(1\/4)*m) assuming m is positive.\nAnswer: m**(109\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297238477.\nAnswer: 113, 2630429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 4*y**2 - 13*y + 16. Let k be g(6). What is the highest common factor of k and 1930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -6 - 23 - -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-2100)\/10)*(1035\/27)\/(-23).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -399086*f + 2660286.\nAnswer: -399086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - s**3 + 71*s - 71*s.\nAnswer: -s**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116.756 - 117. Let b = i + 0.01. Round b to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.01, -2\/5, -4, -257, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198167 is divided by 99083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 38*u + 3. Let z(i) = 3*i**2 - 74*i - 6. Determine -7*m(w) - 4*z(w).\nAnswer: 2*w**2 + 30*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**4 + 13*o - 7. Suppose -3*u - 6 + 18 = 0. Let x(r) = r**4 + 4*r - 2. Let f(n) = u*p(n) - 14*x(n). What is the second derivative of f(a) wrt a?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2. Let i be 10\/6 + 3\/9. Let q(k) = 0*k**2 - 3*k**i + 3*k**2 + 2*k**2. Determine q(x(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 180691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10 + 2)\/4)\/3. Let o = -0.99 - 42.01. Let g = o + 42.7. Which is greater: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 4*f + 4863 - 9817 + 4954.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/1617?\nAnswer: 5\/1617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llq when three letters picked without replacement from qlqqqqqlq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*d**4 + 108 with respect to d.\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 35. Let y = 191.1 + -191.2. Let t = 8 + -5. What is the nearest to y in d, 2, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i**4 - 12 + 27*i**4 - 14*i**4 - i**2 + 49*i**3 - 19*i**3 + i**3 as q*i**2 + r + x*i**3 + n*i**4 + c*i and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1450 + 1444 - 2893 + 19*b.\nAnswer: 19*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(26) - (sqrt(26) - (sqrt(26) - (-3*sqrt(936) - sqrt(936))) - sqrt(26)))\/(sqrt(18)*3 + sqrt(18)).\nAnswer: 1 + 13*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 412d8 (base 15) in base 16?\nAnswer: 326c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**3 + 240*z**2 - 217*z**2 + 2 + z**4 - 2*z - z**4 - 3*z**4 to the form p*z**3 + n*z**4 + u + v*z**2 + w*z and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -484*l + 35*l - 2 - 1225*l as x + j*l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3\/7 + 9601584*m**2\/7 - 2743311*m + 9601590\/7 = 0. What is m?\nAnswer: -3200530, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:56 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-1*10\/25)\/((-24)\/180)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -88.\nAnswer: 7\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 - -113. Solve -19 = 5*s - 2*i, 0 = -2*s + 5*s - m*i + 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52087 and 247?\nAnswer: 12865489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.3. Let y = 0.35 + 0.05. Let j = -8 + 7.7. What is the third biggest value in j, v, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1548 + -768. List the prime factors of c.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15062197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 - -1.7. Put -2\/7, -5, 0.2, r in decreasing order.\nAnswer: 0.2, r, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -45 in descending order.\nAnswer: -1, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 91.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*j - 0*j - 827, -4*j - 4 = 0. Let f = s - 116. Let r = f + -68. What is the greatest common divisor of r and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 2 - 2*l**2 - 3 - 1 - 6*l. Let q be b(-4). Solve 0 = -0*z + q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:59 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (11 - (-1 - -6))*28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16795 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 8375 and 13795375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:31 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205189 is divided by 1253?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 7*h - 25. Sort 4, h, 8.\nAnswer: h, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -56. Suppose 2*v + v - 24 = -3*b, 4*b = -3*v + m. Solve -2*s = s - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 25. Suppose -5*a = -6*a - r. Is a at least as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13015*a + 26047*a - 2*a**2 - 13027*a - 5*a**2.\nAnswer: -7*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 1. Let u(d) = -3*d**3 + 4*d**2 + 21. Give 6*n(v) - u(v).\nAnswer: 3*v**3 + 2*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638832 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 9*q**2 + 11*q - 7. Let b be o(10). Let s(n) = 5*n - 3 + 3 - b*n. Let u(v) = -61*v + 61*v + v**2 + 22*v**2. Determine s(u(p)).\nAnswer: 46*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 5, 11141, 1\/5, 1\/3, 9, -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3372.005318 + 3372. What is n rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -132, -409, -814, -1335, -1960, -2677, -3474?\n\"Answer: 2*w**3 - 76*w**2 - 63*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l**3 + l)*(-1 + 1 + 7*l)*(-4 + 4 - 3*l).\nAnswer: -42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/41, -4\/133, 2\/3 in increasing order.\nAnswer: -4\/133, 2\/41, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 - 2*i + 1. Let k be f(1). Let c be -3*k\/6*538. What is c rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 239690*z + 2872564805.\nAnswer: 5*(z + 23969)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 - 3. Let l(n) = n + c*n - 1 - 3*n. Let h = 30 + -31. Determine l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -111*t - 216, -3*t + 150 = 156 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -6*b**5\/13 - 578*b**4\/13 - 14556*b**3\/13 - 29604*b**2\/13 + 31490*b\/13 + 13254\/13 = 0.\nAnswer: -47, -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4303376 (base 9) in base 7?\nAnswer: -25411212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646 divided by -17.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2*u + 8)*(u**3 + 0*u**3 - 2*u**3) + 466*u**4 + 22*u**4 + 496*u**4 - u**2 + u**4 + u**2.\nAnswer: 987*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -171*y**2 + 228. Let z(r) = -1. What is -d(q) - 228*z(q)?\nAnswer: 171*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 8. Let j = n - 10. Solve 2*r = -0*r + 5*c + 21, 3*r + j*c = -26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1490432 less than -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3, 3*u + 7*g - 6 = 4*g. Calculate the smallest common multiple of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 49 + 83 = 4*y, y + d - 40 = 0. What is the remainder when (-1080)\/(-81)*(-63)\/42 + 90 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16379288, 16379290, 16379294, 16379300, 16379308, 16379318, 16379330?\nAnswer: 16379344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13154.47 milligrams to tonnes.\nAnswer: 0.00001315447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -504, -527, -550?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4102, 17269, 39216, 69943, 109450?\n\"Answer: 4390*u**2 - 3*u - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/5 - 4458*c**2\/5 + 1782*c - 4454\/5 = 0. What is c?\nAnswer: 1, 2227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -12*(-8 - 37505\/52).\nAnswer: 3, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 32*u**2 - 34*u - 41. Determine i(-33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -152, -3, 35, 26 in ascending order.\nAnswer: -152, -5, -3, 2, 26, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/11 - 450*i**2\/11 + 25086*i\/11 + 25538\/11.\nAnswer: 2*(i - 113)**2*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -5, -440\/3, -0.4, 1\/8, 2 in decreasing order.\nAnswer: 2, 1\/8, -0.4, -5, -47, -440\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 55 - -2 - (55 + (40 - (-53 - -148))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*((4*(-1 + sqrt(468) + sqrt(468)) - (sqrt(468) - sqrt(468)*1*-3)) + -2 + (0 + sqrt(468))*-4)*-6)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -46. Let u = 54 + -32. Solve -u = -o*f + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727798?\nAnswer: 2, 103, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 755015*m**4*u**2 - 2*m**4 + 347478*m*u**2 - 2*m*u + m wrt m.\nAnswer: 9060180*m**2*u**2 - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1458)\/(-8262))\/((-6)\/(-2)*(-1)\/2)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, and 1 u when three letters picked without replacement from trrhrturvrrrtrbrurr?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 784.8865cm?\nAnswer: 7.848865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 717241*g**2 + 128591806200*g + 6045399380592.\nAnswer: (g - 358644)**2*(g + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*k - 2*k**2 + 8*k**2 - 4*k to r + c*k + v*k**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/5)\/(1\/5). Let a(u) = -72*u + 654. What is the remainder when (-272)\/f + (-2)\/(-3) is divided by a(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 9. Let v = g - 16. Let m(r) = -r**2 + 6*r - 10. Give m(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 12) to base 15\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1065566500 and -2.\nAnswer: 1065566498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39566 and 1022.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-36) + -30 + (-16385)\/(-261)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c618 + 34?\nAnswer: -1c5d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 9:39 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -3018 = -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = 2*t, 2*t - 3*b - 28 + 9 = 0. Sort t, 4, -5.\nAnswer: -5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -867, -3479, -7833, -13929, -21767, -31347, -42669?\n\"Answer: -871*d**2 + d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d. Let u = -278 + 308. Let y(f) = 2*f - f - f + u*f**2 + 14*f**2. What is s(y(k))?\nAnswer: 220*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2. Let w(c) = -8*c. Let z(q) = -8*q. Let b(d) = -4*w(d) + 5*z(d). Calculate b(t(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 168.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -14, -22, -30, -38, -46?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3505 + -5?\nAnswer: -3510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {s: 1, n: 1, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*j**3 - 20*j**2 + 20*j**2)*(3 - 3 + 2*j) + (5*j + 0*j - 3*j)*(-2*j**3 - 4*j**3 + 5*j**3).\nAnswer: 52*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 12*l**2 + 20*l - 18. Give g(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2872 + 2870.0016. Let i = k - -2. What is i rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s, 4*c + 6*s = 2*s - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -10\nAnswer: -17\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**4*c)\/c)\/c*c)**(-7\/3))**(-17\/3)*(c\/(c**1*c))**36*c**(3\/10)\/(c**(1\/8)*c) assuming c is positive.\nAnswer: c**(5783\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - w. Let u(g) = 5*g**2 - 10*g - 2. What is 4*a(b) - u(b)?\nAnswer: -b**2 + 6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zziziz. What is prob of picking 3 z and 1 i?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*t - 193*t = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/15 - 13*d**3\/6 + d**2. Let s(l) = 3*l + 18505*l**2 - 3*l - 18506*l**2. What is s(t(j))?\nAnswer: -16*j**4 - 104*j**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 11)*(-2 + 0 + 3)*(-93*g**2 + 90*g**2 + 2*g**5 + 0*g**5).\nAnswer: 22*g**5 - 33*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3000 divided by 4?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1367*h + 877*h - 2423*h to m*h + d and give m.\nAnswer: -2913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 613 + -156858\nAnswer: -156245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 74. Determine x(0).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 42*z. Let m(o) be the first derivative of 3*o**3 + 19. Determine c(m(t)).\nAnswer: 378*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.95 + -36.7. Let n = -52.8 - -62. Let b = c + n. Round b to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -330 (base 7) to base 15\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(1\/(-1)) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*(-31)\/((-28458)\/(-1496)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -9557265 minus -64?\nAnswer: -9557201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s - 16. Let b(c) = c - 1. Let j(n) = 6*b(n) - p(n). Let o be j(-7). Let r(h) = -45 + o - h**2. Let z(v) = -3*v**2. Give r(z(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(2)) - (sqrt(2)*-2 + 3).\nAnswer: -3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 + -13 + 2 + -8 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**4\/12 + 164*l**2 - 2. Let q(t) = -84*t**2 - 1. What is d(q(w))?\nAnswer: -168*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, e: 7}. Give prob of picking 3 e and 1 q.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 5*a**2)*(-22*a + 28*a + 23*a).\nAnswer: -145*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide (-2)\/4*3*(-2114)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 44 - 28, 2*a = -f + a + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 + 4 + 50*x - 36*x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 326 + 172 + 10*k + k + 168 + 6*k**2. Give w(-4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 10 + 6 = 0. Suppose a*b - 90 - 94 = 0. Do b and 47 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 5*q**2 - 4*q + 6. Suppose d - 6 = -4*x, 0 = 2*d + 2*d - 2*x + 30. Calculate v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 2*x - 183, -5*t + 5*x + 195 = 0. Let a = 23 - t. Is 18\/a + 46\/4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((2\/4)\/((-350)\/280))*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79978196489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(95) + sqrt(95) + (sqrt(95) - ((sqrt(95) - (sqrt(95) - sqrt(95)*3*-3)) + sqrt(95))))\/((-1*sqrt(200))\/((sqrt(10) + sqrt(30)\/sqrt(3))*-5)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y**3 - 22*y**3 + 99*y**3 - 33*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 + -275. Let w = l + 383. Let z = w + -167. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*l, 4*l - 5*r = -0*r. Suppose 2*t - 226 = -d, l*t - 895 = -4*d + t. Is d a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11130 (base 4) to base 12\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**4\/24 + 134*w**2. Let b(l) = -21*l. Determine k(b(s)).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/1*((-3)\/(-3))\/((-284)\/355)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0429 (b) -23\/2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5 + 30*f**4 + 90*f**3 - 1080*f**2 + 2835*f - 2430 = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c + 7*c**3 + c**2 + 0 - 8 + 3*c**2. Let f(x) = 6*x**3 + 3*x**2 + 3*x - 7. Let d(g) = 4*f(g) - 3*i(g). What is the derivative of d(l) wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 5. Suppose 0 - 10 = 2*n, -4*m = n + 41. Determine w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 2*m + 7 - 39*m**2 + 40*m**2. Let i be d(3). Solve w = j + i*j + 14, 3*w = 5*j + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) 151 (b) -0.3 (c) -23500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323 + -33?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2308.7164 rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/520, -849, -1, -4 in ascending order.\nAnswer: -849, -4, -1, 1\/520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i. Let x(o) = 571*o**2. Determine j(x(v)).\nAnswer: -2855*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579304 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/39 in -5\/2, -2, -1, 4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 4:46 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -131, -147, -169, -197, -231?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5388741?\nAnswer: 3, 199583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 a factor of 16996033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t - 10*t**2 + 1\/330*t**5 + 16\/33*t**3 + 0 - 2\/33*t**4. Factor d(a).\nAnswer: 2*(a - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/4 + k. Let n(z) = 4*z**2 - 3*z + 3. Let s(t) = 23*t**2 - 17*t + 17. Let y(w) = -34*n(w) + 6*s(w). Give b(y(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-8 - (3 - 9)). Sort 5, -11, f, 0.\nAnswer: -11, 0, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37260 + 37260 - 3*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, -8, -1, -758 in descending order.\nAnswer: 4, 3, 2, -1, -8, -758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1907, -1916, -1937, -1976, -2039, -2132?\nAnswer: -2261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*h + 13975 = h, -2*h - 5578 = -2*l. Suppose 2*o = -3*f + 4203, 10*o = -2*f + 12*o + l. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3851825 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 606 - -1406. Suppose -4*p = 2*j - l, j - 737 - 269 = 5*p. List the prime factors of j.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 2*y**3 + 65*y**2 + 5*y + 29*y**2.\nAnswer: 2*y**3 + 94*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2586\/10 - ((-288)\/(-60))\/(-12))\/1. Solve -267*b - 8 = -r*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17779251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 264942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*g**3 + 5*g**3 - 25*g**3)*(24*g - g**2 - 3*g - 9*g).\nAnswer: 68*g**5 - 816*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32416 is divided by 193?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 + 4*v + 3. Let n be q(4). Suppose n*y = 6 + 21. Let k be (7 - y) + (-8)\/(-1). Solve -g = g + k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-24)*-4)\/((-3)\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-171 + 95 + 104)*(-3*y + 0*y + 4*y).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-2 + -4 + 6 - (1 + 2))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -589, 4, 16.\nAnswer: -589, -5, 0, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -4)\/((-275)\/(-290) + -1). Suppose 64*z - 12282 = c*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 661653 + -369202229\/558. Find the common denominator of u and -67\/22.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2, 0.1, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7676 - 40?\nAnswer: 7636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 230, 228, 226, 224, 222?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 18 = 7. Suppose 200 = -0*m + t*m. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 543, 1026, 1433, 1758, 1995, 2138, 2181?\nAnswer: 2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 14*w**2 - 10*w + 6. Let k be g(9). List the prime factors of (k\/(-9) - -6)\/(4\/6).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.9 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/9 + 4)\/(3\/126). Let n = 58 - g. Is (1828\/n)\/((-1)\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*l = 22*l + 165*l + 12309 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2977 + 2973. What is the second biggest value in 736, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 305 = 5*l + 5*n, 0 = n. Suppose 34*u - 64 = 30*u. Calculate the remainder when l is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 29, 56, 83, 104, 113?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 11. Let f be l(4). Suppose 0 = 5*b - s - 276 + 71, -b - f*s = -25. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (231\/(-121) + 2)\/(14\/(-140))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/3))**(-8\/9)*(w\/(w\/(w\/(w*w*w**0))*w))**36)**(-6\/19))**(-27) assuming w is positive.\nAnswer: w**(-11760\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1845? (a) -0.1 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 150.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 44. Put 2\/5, 1, -2, h in descending order.\nAnswer: h, 1, 2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/13*(77\/14)\/((-4)\/2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7)\/c)\/c*c)**(-39\/5)\/(c**9*c\/(c\/c**(-1\/2)*c)) assuming c is positive.\nAnswer: c**(99\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 22*p**2 + 2*p - 37. Let o(j) = 23*j**2 - 2*j + 1. Let v be o(1). Let n be w(v). Let h = -7 + 12. Solve h*i + 22 = n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 245*d + 778. Let x be z(-3). Solve 3*n - v = -22, 5*v + 23 - x = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5323 - 5323. Solve -n + 4*q - 10 = p, 4*n = q + 9 - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.011.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 - 40\/30 - 0. Put -1, o, 0.2, 15 in descending order.\nAnswer: 15, 0.2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 338*-14.362\nAnswer: -4854.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6 = 8*a, -32*w + 31*w = -4*a - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0*f**3 + 0*f**4 - 2\/15*f**6 - 1\/2*f**2 - 5*f + 0*f**5 + 0. What is the derivative of d(x) wrt x?\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**2*w**3*y + 586*q**2*w**2*y**2 + 2*q**2*w**2*y - 48*q*w**3 - w**3*y**2 wrt y.\nAnswer: 1172*q**2*w**2 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 1398782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1530*o + 783 - 488*o - 783 - 1785*o + (2 + 1 - 2)*(4*o + 0*o - 3*o).\nAnswer: -3802*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 36 = 2*f, 3*c + 2*f - 21 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -1 - 5 - -20. Let i be -2 + u + (2 - 3). Solve -4*p - 12 = -4*r + 4, 0 = 5*p + i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 3*x - 241, -84 = -2*u - 5*x. Suppose 13*s = 8*s + 110. Let o = u - s. Calculate the greatest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 65 = -n + 76, -4*f = -n + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 2*m - 3. Calculate c(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13782 is divided by 2007.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-2 - -1) + 2. Is 21 + (z*4)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*a**3\/5 - 215241*a**2\/5 + 54614811*a\/5 - 2728050 = 0. What is a?\nAnswer: -18187, 1\/4, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 120c5ca?\nAnswer: 120c5cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*l + 6*l**3 - 15*l**3 + 55*l + l**3 + l - l + (4 + 0 - 3)*(0 + l**3 + 0) - 3*l**3 - l**3 + l**3 to the form p + t*l**2 + r*l**3 + q*l and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -59 (b) 3 (c) -0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -79\/2. Let z be (-3)\/15*-1*1. What is the nearest to 0 in y, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, 0, 12, 30?\n\"Answer: 3*i**2 - 3*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5172, 6884, 9736, 13728, 18860, 25132, 32544?\nAnswer: 41096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 3) + -17 + 1 - (3 - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (150 - 134) + 22 + -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - 1. Let s be (-3 + 1)\/6 + (-4)\/6. Calculate w(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13281 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - -19 - -26) + -45 + 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1774 - 294 = 4*x. Suppose 0 = -5*f + 4 + 6, -2*d + 4*f = -26. Suppose 22*v = d*v + x. Is v a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.022.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.4. Let g = 1 - 1. Let l = -2.023 - -2.423. What is the nearest to g in l, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -810*b**2 + 6*b - 6. Let w be n(-5). Let a be w\/(-12)*(-26)\/12. Let d = 3645 + a. What is the common denominator of 29\/12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**9\/1512 + p**7\/420 - p**3\/3 + 2*p**2. Let s(a) be the first derivative of y(a). Factor s(x).\nAnswer: -2*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012651356 to 7 dps.\nAnswer: 0.0001265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2301*s = 2297*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19515 in 4, 153\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 88 + 22. Let y = -48 + -22. Let u = -52 - y. What is the smallest common multiple of s and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 3 = -33*r. Let a be -9*r\/(-12)*(-4 - 0). What is the units digit of (-1 + a)*1*(-54)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t - t + 6*t + (0 + 0 - t)*(0 + 3 - 1) + 5*t - 3*t - t + (2 + 0 - 1)*(-2*t - t + t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 500715 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 8 = -5*o - w, -4 = o + 3*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 10*q**2 - 4*q + 6. Calculate m(-10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 3*t + 1707 - 1710, 3*p = 41*t - 269 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(56)\/sqrt(4))\/(sqrt(112)\/sqrt(4)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1228, -1399, -1570, -1741, -1912?\nAnswer: -2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 + -3 + 5 + -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (722\/(-57))\/(2\/6). Does 37 divide (95\/n)\/(-1*(-3)\/(-222))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16438007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8738.121 centuries to years.\nAnswer: 873812.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 2*o**3 - o**4)*(0 - 2 + 0) - 7*o**4 - 7*o**4 + 5*o**4 - 1790*o**3 + 87*o**4 + 1790*o**3 + (2 - 2 - 2*o)*(-4*o**3 + 2*o**3 + o**3).\nAnswer: 82*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13421763.38 - 4?\nAnswer: 13421759.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 5*i**2 - i - 5. Let o(u) be the first derivative of 3*u**4\/4 + 4*u**3\/3 - u**2 - 5*u + 48. Let d(s) = -3*o(s) + 4*v(s). Determine d(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:16 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 + 0 = 0. Which is the nearest to 1? (a) 4 (b) 2\/11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/17545 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28549628?\nAnswer: 2, 19, 59, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**8\/6720 - a**6\/240 - a**5\/60 + a**2. Let n(u) be the third derivative of i(u). Differentiate n(v) wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*x = -190*x - 227*x - 320 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 v when three letters picked without replacement from {v: 4, i: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*w + 1426 + 381 = 0, -3554 = -2*p - 2*w. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 37 - 17*y)*(28*y - 1 - 9*y - 18*y)*(-3*y**2 - 3*y**2 + 7*y**2 - 2*y).\nAnswer: -17*y**4 + 51*y**3 - 34*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 1\/96*q**6 + 0*q**4 + 2*q**2 + 0 + 0*q + 0*q**3 - 1\/120*q**5. Factor j(o).\nAnswer: o**2*(5*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 561381?\nAnswer: 14595906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -10, -4 in decreasing order.\nAnswer: -4, -10, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + -0.25. Let y = -0.19 - k. Let o = -0.10000008 - y. Round o to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -16. What is the lowest common multiple of g and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5863667652 - -0.4\nAnswer: 5863667652.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -982 - -965. Sort 2\/13, a, 2 in descending order.\nAnswer: 2, 2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525131257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 5*f**3 + 4*f**3 - 230 + 4*f**3 + 232 in the form w*f + l*f**2 + o*f**3 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6849 and 4566.\nAnswer: 13698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/((-3)\/3*-2). Suppose 0 = -5*n - j - 1, 3*n + 4*j + k = -n. Suppose 0 = -n*z + 4*z - 104. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34171\/18 - -1899. What is the common denominator of h and 15\/176?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 17*z**4 + 40*z + 0 - 110*z**2 - 17*z**4 - 45*z**4 + 120*z**3 - 5 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, r: 2, n: 2, f: 4}. What is prob of picking 1 n and 1 j?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 + 94*q**2\/5 - 2*q\/5 - 94\/5.\nAnswer: 2*(q - 1)*(q + 1)*(q + 47)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 361008 and 8556?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 + 2*d - 1. Let p be t(3). Let u = -8 - p. Suppose 17 - 54 = -u*b + 4*a, b - a = 7. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.3. Let k be -1 + 3\/5 + (-64)\/(-110). Let u = -0.6 - 3.4. What is the nearest to 1 in k, v, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13154 - -13156. Factor -y*n**2 + 8\/3 + 0*n - 2\/3*n**3.\nAnswer: -2*(n - 1)*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.604 in -22, 4, 47, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 108*a**2 - 540*a.\nAnswer: -3*a*(a + 6)*(a + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1886505735.\nAnswer: 3, 5, 41, 859, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 708 by -4.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -4*y + h - 0*h + 131, -6*y - 2 = 5*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.82 + 14991949660\nAnswer: 14991949657.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 11*z**2 + 797*z**3 + 796*z**3 - 1591*z**3.\nAnswer: 2*z**3 + 11*z**2 - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7477348567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60104 (base 7) in base 8?\nAnswer: 34173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45\/119 or -1?\nAnswer: -45\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -11.66 (b) -2\/9 (c) 34\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = -4*p, 0*d + 5*d = 2*p - 5. Suppose p = -0*b - b + 10800228. Suppose 0 = 9*i - 71099772 - b. What is i rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21121.\nAnswer: 21121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 18. Let h be j(8). Let q = 33 - h. Suppose -q*u = -3*u - 76. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 6. Suppose -2*a = -0*a - k. Put -0.1, a, -3\/5 in decreasing order.\nAnswer: a, -0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1253500 to the nearest 10000.\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 9. Let m be o(-6). Suppose 4*w - m*i = i + 28, 32 = w + 4*i. Solve z - c - 8 = c, z + 2*c = -w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -2*o + 5*u - 32, 0 = 3*o + u - 77 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoopeooopoooopo. What is prob of sequence epo?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 1.1.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025145 to 7 dps.\nAnswer: 0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 397783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 + 92. What is the nearest to l in -0.3, -3, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3467 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 13 + 1. Suppose -6 = a*s + s. Calculate the remainder when 42 is divided by -3 - (0 - -7)\/(s\/4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 52*l**2 - 101*l - 1. Let s be y(-2). Which is the nearest to 0? (a) 0 (b) -3 (c) 20 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 377 + -381. Which is the closest to -1\/3? (a) 5 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1619 - -3957. Suppose -652 = 6*a - d. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 61*r**3 - 1 + 1 - 2.\nAnswer: 61*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(363))*2.\nAnswer: 6 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 10*j - 17. Let w be k(-7). Solve -4*q + 10 = -2*u, 5*u - 14 = -w*q + 31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8543*n**3 + 26*n**2*s**2 - 2134*n*s - 13*s**2 + 5 wrt n.\nAnswer: 51258*n + 52*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*h = -58, -2*h = h + 6. Calculate the highest common divisor of n and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*y + 10, 0*d = -3*d - 4*y + 14. Suppose -4 = d*i, k - i + 20 = -k. Let q = 3 - k. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 + 39*p**2 + 6*p + 93. Determine c(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -5)\/(2 - 1). Is ((-177)\/p)\/((-1)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1618, -6457, -14520, -25807, -40318, -58053?\nAnswer: -79012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56877059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 192*w\/5 + 57344\/5.\nAnswer: -2*(w - 128)*(w + 224)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1, -0.01, 1242626, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(1\/2)\/q)*q)*q)**(-35))**(3\/22)*(q*q*q**(5\/3)*q\/(q*q**(-9)))**(-37) assuming q is positive.\nAnswer: q**(-61549\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide (5\/((-25)\/(-198)))\/(1\/105)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2065\/11 or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -100914 (base 11) to base 10\nAnswer: -162155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01531483 - 16.01524083. Let r = 30 - 14. Let a = r + y. What is a rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4685 is divided by 311.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 3*p**2 - p - 1. Let h(o) = 3*o**3 - 5*o**2 - o - 3. Let t(d) = -2*h(d) + 5*z(d). Give t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -132. Let c(m) be the second derivative of m**3\/6 + 6*m. What is c(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, -9, -1, 36, 3.\nAnswer: -9, -1, 2, 3, 19, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/7 - 6*y\/7 + 20\/7 = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144388 (base 9) to base 11.\nAnswer: 60574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*n - 105*n + 216*n + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5922 - -8677. Calculate the greatest common divisor of 203 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -730, 25, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13376 (base 9) in base 10?\nAnswer: 9060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -3. Let c = -334 - -332. Is c at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 14) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -51 - -1?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kfkkkkkkfkkkkkfkkk?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 13370653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - j**2 - j + 3. Let x be g(0). Suppose -22 = h + 2*s, -4*s + 2*s = -x*h - 26. Let z = h - -27. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 8*w**2 + w + 6. Let f be 7\/14 - (-34)\/(-4). Let t be v(f). What is the common denominator of 71\/10 and 87\/198*-7 - t\/3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.9 (b) -282 (c) -0.1 (d) -1\/4 (e) 16 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrt when three letters picked without replacement from trrtrt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594618 divided by -6.\nAnswer: 99103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002856352 to six decimal places.\nAnswer: 0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:17 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n**3 - 3*n + 2. Let m be l(3). Suppose 0 = 5*x - b - 397, -m = -5*x - 4*b + 151. Suppose 3*k - x = -19. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 240 + -231. Solve j - g + 10 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80424201 to the nearest one hundred thousand.\nAnswer: 80400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2 = -6. Let k(f) = -8*f**3 - 7*f**2 + 3*f + 5. Let p(m) = -10*m**3 - 8*m**2 + 3*m + 6. Let c(n) = -6*k(n) + 5*p(n). Determine c(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17191101400 rounded to the nearest one million?\nAnswer: -17191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -9aa?\nAnswer: -9a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let i(y) = -20*y + 1. Let v(k) = -2*i(k) + 2*q(k). Let u(d) = 6177 - 6*d + 6176 + 2*d + 6189 - 18542. Calculate u(v(g)).\nAnswer: -152*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.44 + 22.5782.\nAnswer: 35.0182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c. Suppose -w = 3*w. Solve c = -3*z - w*z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = 18*g - 13*g. Let f = 439 + g. What is the highest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 10*u**2 - 11*u + 11. Let x be h(12). Suppose 0 = -2*g - 5*t + x, -5*t - 11 = -3*g + 227. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g*o**3*u**3 - g*o**3 - 6*g*o*u - 236*g*u**3 - 77*o**2*u**2 wrt u.\nAnswer: -6*g*o**3 - 1416*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 44. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*y + 20*y - 49*y)*(-6*y + 3*y + 0*y + (10*y - y + 7*y)*(-2 + 5 - 4) + 4*y + 2*y - 4*y) to the form u + o*y**2 + x*y and give o.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.89, 0, -1768 in descending order.\nAnswer: 4.89, 0, -1768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24369180 divided by -1\nAnswer: 24369180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 1 + -11 + 17)\/(2\/38).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 1. Let p(d) = d**3 - 2*d - 1. Suppose 5*s - 2 = -4*t + 28, 3*s - 11 = -t. Let w be p(s). Let j(g) = 4*g + 1. What is w*q(u) - j(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(13) - (sqrt(13) + -1)) - (sqrt(13) - (sqrt(1573) + 0))**2 - (4*(sqrt(832) + -2)*-5)**2)*4.\nAnswer: -1342808 + 51200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*s + 1078 = 0, -i - 3*s - s = 211. Let w = i - -212. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 15 = 5*i. Let z = -50 + i. Let b = 58 + z. Solve 4 + 0 = -2*x + 2*j, j = -b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 85*g**2 - 310*g + 2280.\nAnswer: 5*(g - 19)*(g - 4)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3077*x + 120453. Let k be f(-39). Determine g so that 2\/9*g**2 + k + 20*g = 0.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:46 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33297 + 33297.00000084. What is j rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p + 2*u + 137840 - 137909, 2*p - u + 18 = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 698*t**3 - 258*t**3 + 31*t**3 + 927*t**3.\nAnswer: 1398*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 129, 432, 735, 1038?\n\"Answer: 303*d - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 9*g**2 - 7*g - 10. Let v be (-95)\/(-25) + (-1)\/(-10)*2. Let h be (-19)\/(-2) + (-1 - 2\/v). Determine p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - h + 21 = 0, 5*h = -4*m - 0*h. Suppose 1359 = m*f - 1336. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*p - 5, 1 = -2*p - 2*d + 11. Suppose p = -n - 3*m - 6, n + 4*n + 2*m = -17. Calculate the remainder when 4\/(-6) + (-20)\/n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141531 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15252 or 15254?\nAnswer: 15254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33.87 + 34. Let w = b - -7.87. Let x = w - 8.1. Is x at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*m - 26*m - 22*m**3 + 2*m**2 - 89*m**4 + 9*m**3 + 12*m**3 - 20*m to h*m + u*m**3 + y + w*m**4 + a*m**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1357*x - 610 = 1662*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + g - 42. Suppose -58 = 2*a + j, 2*a + j = -j - 62. Let c = g + a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 87723.83m?\nAnswer: 87723830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 579895163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16738977167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or 1153\/16?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24845 + -24831. Which is the nearest to -15? (a) 1 (b) -0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -0.99, -2, 6\/5, -48 in descending order.\nAnswer: 6\/5, 1, -0.3, -0.99, -2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9712 and 11384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 17*w**3 + w**3 + 4.\nAnswer: -16*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - -14. Suppose 9*v + 3 = 10*v. Suppose 1 = o + 3*w - v, -o = -2*w - 19. Calculate the highest common divisor of o and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 25. Let f be y(0). Let o = 45 - f. Suppose j - 5*i - 353 = o, 0 = -j - 5*i + 403. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9329\/2 - 4664. Let b(f) be the first derivative of 0*f - 13 + r*f**2. Let l(j) = -22*j**2. Determine b(l(c)).\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7070 and 154?\nAnswer: 77770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*r - 23 = 10, 2*r - 22 = -4*v. Calculate the smallest common multiple of v and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 39811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.02 - 0.02. Let j = 2.1 - -2.9. Let o = j - z. What is the second smallest value in -2, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 5*n - 1. Let c(b) be the third derivative of -b**5\/20 + 7*b**4\/12 + b**3\/3 - 5*b**2. Give 3*c(o) + 8*h(o).\nAnswer: -o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 10*o - 2. Let r(w) = 3*w**2 - 8*w + 2. Let b(p) = 5*f(p) + 6*r(p). Let u be 3*(3 + -6 + 0). Let t = u + 12. Give b(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.84401 litres to millilitres.\nAnswer: 53844.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + x + x + (-3*x + 4*x - 3*x)*(5 - 3 - 3) + 375*x + 200*x - 441*x.\nAnswer: 137*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -7*r + 3*r. Let h = r + -17. Solve 20 = z - h*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008926 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-219 + 212)*2\/(-98). What is the nearest to -0.2 in -1\/3, m, 63\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h - 36. Let c be b(0). Let l = c + 104. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 45. Let x(g) = -144*g - l + 138*g - 13. What are the prime factors of x(-9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. What is the closest to -2 in -2\/13, l, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d**4\/5 + 2097*d**3\/5 - 39594*d**2\/5 - 9204*d + 83544\/5 = 0. Calculate d.\nAnswer: -2, 1, 118\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*d - 6, -5*d + 0*d = t + 17. Solve -m + 9 = -2*w, t*w = -2*m - w - 22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656250411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxixixix. Give prob of picking 2 i.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1377 (base 10) to base 9\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + 8*v**2 + 7*v - 18. Give p(-6).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.5, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**4\/4 - 13*h**3\/3 - 15*h**2 + 5*h - 117. Let j be s(15). Solve -u + c = 7, 2*u - c + j*c = 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92380000 rounded to the nearest 1000000?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 1:08 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 7*s**2 + 6. Let t(c) = -13*c**2 - c**3 + 6 - c + 0*c**3 + 2*c**3. Let x(o) = -2*o - 25. Let g be x(-19). Let l be t(g). What is r(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/(3*1). Let k = d - -1\/2. Find z, given that -4\/9*z + 0 + 10\/9*z**2 - k*z**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -618 + 606. What is the closest to -0.2 in -0.3, p, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67393 by -799.\nAnswer: 67393\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -95632586.754 + 14\nAnswer: -95632572.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 989199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0 - (1 - 5). Let x be (-6)\/12 - (-1)\/i. Suppose y + y - 6 = x. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 10, -3*u + 50131 = -144*f + 146*f. Does 352 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**3 - 4 + 6*y - 30*y + 5*y**3.\nAnswer: 24*y**3 - 24*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97970.\nAnswer: 2, 5, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 + -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61.48 + -60.48. What is the closest to -3\/5 in -0.032, -0.4, 1\/12, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(500) + sqrt(500) + 1 + -2 - (sqrt(500) + -1 + 2))*-2)**2.\nAnswer: -40*sqrt(5) + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 360 - 344 = 0. Suppose -g = g - s. Let y = 29 - 7. Calculate the greatest common factor of y and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 149*q - q = -5922. Solve q*f + 8 = 50*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3485*j**3 + 3*j**2 - 6*j + 3. Let c(g) = -66216*g**3 - 56*g**2 + 112*g - 56. What is -3*c(h) - 56*q(h)?\nAnswer: 3488*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/5 - 18574*r**2\/5 + 55731*r\/5 = 0.\nAnswer: -18577, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1464419801006 and 2.\nAnswer: -1464419801004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 221418 and 36.\nAnswer: 442836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45892792 divided by 45892792\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m - m**2 + 84 + 17*m.\nAnswer: -m**2 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -12*m + 7. Let p(y) = -2*y. Calculate k(p(z)).\nAnswer: 24*z + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*2 - sqrt(132) - sqrt(132) - sqrt(132))*-6)\/(sqrt(1452)*1) + (5*-1*sqrt(77))\/(sqrt(847)*2).\nAnswer: 7*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -70320247.9 to the nearest one million.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1890? (a) 1 (b) -0.06 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 359*k**2 - 50*k + 18. Let y be n(-2). What is the greatest common divisor of 210 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1090 in -4, 0.05, 50\/7?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6335 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus -5053?\nAnswer: 5066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -5 + -7 - 2) + 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 9981810?\nAnswer: 159708960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**2 + 78*j**2 - 11*j**2 in the form z + f*j**2 + i*j and give f.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 5868*z**2 + 218535*z + 224406.\nAnswer: 3*(z - 1918)*(z - 39)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.7 + 27. Sort 3, 2, 44, m.\nAnswer: m, 2, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/2))**7)**(-42))**(-22) assuming f is positive.\nAnswer: f**(-3234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8935, -8922, -8957, -9034, -9147?\nAnswer: -9290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let t be ((-64)\/l)\/((-1)\/2). Calculate the greatest common divisor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2116 less than -37?\nAnswer: -2153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132650 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 15.1. Let f be (1 + -6)*(-238)\/(-850) - (-4)\/10. Which is the closest to -21? (a) l (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l - 6*l - 2*l**2)*((-4 + 0 + 3)*(-5 - 1 + 2) + 11 + 4 - 1)*(-24 + 4*l + 24) as x*l**2 + d + w*l + i*l**3 and give i.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 79. What is the remainder when (-2 + (4 - 0))*13 - -4 is divided by a\/(-18)*6\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**21*x*x**(24\/11)*(x**23)**44 assuming x is positive.\nAnswer: x**(11398\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38bb (base 16) to base 3.\nAnswer: -201220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljldwlhwhjldljhlfhwh. What is prob of picking 1 d and 2 w?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1260776 and 1100?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 98 + 46. Suppose -u = 7*n - 16*n. Solve 0 = f - 4*a + 1, 3*f = 8*f - n*a + 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 415\/(-45) + (-2)\/(-9). Let y = f - -9. Find the second derivative of 0*j + 2*j + j**5 + y*j - 6*j wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6. Let y(w) be the first derivative of -t + w + 5\/2*w**2. Determine y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*u - 6 + 1 = 0, u - 3 = 5*o. Sort o, 1\/8, -0.5, 3\/5 in descending order.\nAnswer: 3\/5, 1\/8, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.005 - 0.005039. Round f to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**2 - d**3 + 2*d**2 - d + 2*d**2. Let x be c(0). Suppose x = -3*r + 5 + 4. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -40, -102, -210, -376, -612?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 29 = -2*g + 3, -g + 5 = 2*x. Solve -2*v = 3 - 1, x*v - 16 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -1 - 6135\/(-63)*-3. Let l = x + 293. Factor -l*v + 3\/7*v**2 - 9\/7.\nAnswer: 3*(v - 3)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 0.098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 984585, 984714, 984843, 984972, 985101?\n\"Answer: 129*x + 984456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjjyrrjyjjyj. What is prob of sequence jr?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22410.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/33200201 and -23\/969.\nAnswer: 99600603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let h be 0 - (3 + -2 + j). List the prime factors of 0 + h + 12 + -1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - r = -1, -827 + 853 = -4*o - r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 2. Let s(t) = 1 + 2*t - t - m. Let y(p) = 10*p. What is y(s(w))?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ae43 (base 16) to base 3.\nAnswer: 22220222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -4 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 502 * -0.1\nAnswer: -50.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 + 26*b**2 - 592*b + 5530. Calculate c(10).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**3 - 4*f**2 - f. Let i(o) = 5*o**3 + 3*o**2. Suppose -k - 3 = 0, 2*n - n = -3*k - 6. Determine n*t(c) + 4*i(c).\nAnswer: 2*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 9. Which is smaller: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/18)\/1*14*238\/245?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(152)*-1)\/(2*sqrt(128) + sqrt(8)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -3. Suppose -179*p = -174*p - 270. Calculate the greatest common divisor of f and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -86?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 + 364*q**3 = 0. What is q?\nAnswer: 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 13. Let j(c) = -4*c - 64. Let v(t) = -16*g(t) - 3*j(t). Let f be v(-4). Is (6 + f + 1)*89 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - n. Let u(w) = -w**2 - 1. Suppose -18 = 2*s + 4*b, 2*b - 1 = -9. Give s*u(y) + p(y).\nAnswer: -2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3168 and 4608?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 175, 550, 5 in descending order.\nAnswer: 550, 175, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3471\/(-6) + 22\/(286\/(-39)). Let i = -579 - m. Suppose -5\/2*s**3 - i - 5\/2*s**4 + 5\/4*s**5 + 5\/4*s + 5*s**2 = 0. What is s?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(2\/(-8))\/((-17)\/(-34)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -3\/23, -6\/5?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13369891 divided by -17\nAnswer: -13369891\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*b - 8*b + 16*b + (-3 + 3 - 2)*(-3*b + 3*b - b) + 0 + 0 + 2*b - b - 1 + 1 + 1 - 1 + b to the form l + v*b and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-50))\/(((-3)\/(-2))\/1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/2 + -2 + (524 - 474).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0*w**2 + 3*w**2 + w**2 - 3*w**2. Let g(l) = 3*l**2 - 4. Let a(t) = 8*t**2 - 11. Let b(z) = 4*a(z) - 11*g(z). Calculate n(b(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1538, 8, -4, 0 in ascending order.\nAnswer: -24, -4, 0, 8, 1538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2416 or 2417?\nAnswer: 2416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 2*l + l)*((21 + 24 + 25)*(-4 - l + 4) - l - 2*l + l + (l + 3*l + l)*(5 + 1 - 4)) in the form o + a*l**2 + m*l and give a.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45808, -91661, -137556, -183493?\n\"Answer: -21*p**2 - 45790*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:14 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x**2 + 0*x**2 + 2*x**2)*(-5 - x**2 + 5) + x**4 - 4*x**4 + 0*x**4)*(0 + 1 + 0).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 967586 to the power of 1\/2, to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**3 - 5*m**2 - 4*m + 1. Let y(j) = j**3 - 19*j**2 - j + 22. Let b be y(19). Let k(o) = 2*o**3 + 3*o**2 + 2*o - 1. Determine b*l(n) + 5*k(n).\nAnswer: -5*n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 197 - 223 = 0. What is the remainder when 163 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 181 (b) 0.09 (c) -1 (d) -15 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1430, 1405, 1380?\n\"Answer: -25*y + 1455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1055857779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5845501552.4379 from 0.\nAnswer: -5845501552.4379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2549*i - 20*i**5 + 30*i**4 - 604 + 293 + 7*i**5 + 311 wrt i.\nAnswer: -260*i**3 + 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/20)\/((-269)\/(-2690)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3987 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166\/35 + -23\/5. Let w be 6*(3\/(-14) - 4\/14). Let s = -0.2 + -4.8. What is the second smallest value in 2, x, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 6*p**2 - 5*p + 2. Let t(c) = -7*c - 3. Let n be t(-1). Determine l(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-45) - (-86)\/(-10). Sort -1, s, -7 in decreasing order.\nAnswer: -1, -7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 7. Let t be (-1 - -7)\/((-6)\/4). What are the prime factors of x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 k when three letters picked without replacement from ljtjltgkjggkttpttt?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/5))**(1\/18))**(4\/17) assuming s is positive.\nAnswer: s**(-2\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 17. Let w(f) = -2*f**3 - 15*f**2 + 7*f - 6. Let j be w(-8). Suppose 0 = 4*s - 4*r - 16, 0*s + 2*r = -j*s + v. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -38 + (1 - 3) + 4. Let l be (15\/f)\/(2\/4). Which is the third smallest value? (a) -1 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2. Let a(b) be the first derivative of -2*b**3\/3 + 2*b - 2. Let s(f) be the first derivative of a(f). Give s(g(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/12 + 1\/4. Let m = -1227 - -1230. What is the third derivative of 24*k**3 + 3*k**m - 4*k**t - 11*k**2 wrt k?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134966063 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35315290 and 2169540?\nAnswer: 635675220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*m = 88*m - 2190. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/6, 0.11, 2\/7, 3 in increasing order.\nAnswer: -1\/6, 0.11, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, i: 1}. Give prob of picking 1 n and 1 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, n: 1, v: 3}. Give prob of sequence hv.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146071 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -184.9 and -79.9637893.\nAnswer: -264.8637893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(700) + sqrt(700)*-2))**2 - (-3 + 1 + sqrt(425))**2.\nAnswer: -42883\/100 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -j + 35. Let s(l) be the second derivative of l**4\/6 - l. Let x(w) = -2*w**2. Let n(z) = j*x(z) - 3*s(z). Let o(f) = 2*f. What is n(o(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(88\/660*-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24794*r**3*z**2 + 28*r**3 - 69*r**2*z**2 - r**2*z + 10*r*z**2 + r*z - 21*z**2 wrt r?\nAnswer: -148764*z**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -13*n**5\/20 + n**3 - 4*n. What is the second derivative of y(k) wrt k?\nAnswer: -78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.306 + -9.636. What is g rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*64\/16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -108729, 1, 0, -2, -1 in increasing order.\nAnswer: -108729, -2, -1, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 - 889\/8. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z. Let t(k) be the third derivative of k**5\/10 + k**4\/8 + 13*k**3\/6 + 2070*k**2. Give t(y(v)).\nAnswer: 24*v**2 - 6*v + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 4*m - 1. What is the remainder when x(4) is divided by -3*12\/18 + (14 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 703 - 458. Suppose 5*x = l + 351, -5*l = 4*x - 59 - y. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.04, 0.5, 191\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7\/(-14))\/(1\/(-6)*(-800)\/(-420)) and 79\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/346? (a) 2\/9 (b) 0.7 (c) -17 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(84176 - 18588*a - 84176) in the form k*a + m and give k.\nAnswer: -18588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3992*r + 223100 = 1527*r + 165*r for r.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 p when four letters picked without replacement from {p: 3, l: 1, h: 4, d: 7, v: 3}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56\/70*1*155 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -103.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1193 * 0.027.\nAnswer: 32.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 11 = -f - 0, 0 = 5*f - 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-6 + (106 - (-25 + 24) - -13)).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 262587 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: Two letters picked without replacement from {a: 1, l: 1, i: 1, w: 1, t: 1, e: 2}. Give prob of sequence ia.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/860248027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-27)\/6 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 33. Let u = -227 + 240. Let z(o) = o + 15. Let b(s) = u*z(s) + 6*v(s). What is b(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 divided by 4250?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 238*i + 1103. Let o be q(5). What is the closest to 2\/3 in -2\/13, -1\/15, o?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 560*a - 11. Let d(n) = -560*n + 8. Determine 3*d(h) + 2*i(h).\nAnswer: -560*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39777\/17 + -47571\/68. Let s = -1619 + h. What is the common denominator of s and 77\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 57*d + 3729. Let o be f(-65). Let h(y) be the third derivative of 1\/96*y**4 + 0 + 0*y - o*y**2 + 1\/12*y**3 - 1\/240*y**5. Factor h(b).\nAnswer: -(b - 2)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 22*y**3 + y**2 + 11*y - 11. Let j(h) = -11*h**3 - 6*h + 6. Determine -11*j(d) - 6*r(d).\nAnswer: -11*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 23 + 29 + 16 + 56*p + 20.\nAnswer: 56*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 1, v: 1, o: 3, l: 1}. Give prob of picking 1 l and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -15469615.3 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000117 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 222598*b + 222598*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -18800*w - 169210. Calculate h(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1908 and 7620128?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406 + 410. Which is the nearest to 1\/2? (a) x (b) -3\/7 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/29 + -45\/116. Let h = 0.01 + 0.29. Let j = -0.81 - 0.09. Which is the closest to w? (a) -0.2 (b) j (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/10)\/(14\/(-10)). Let n be 2 + 0 + -1 - -9. Let z be (-1 + (-28)\/(-21))*n\/15. Is z > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -59068, -119767, -180466, -241165, -301864?\n\"Answer: -60699*m + 1631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 864? (a) -3 (b) 0.139 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 + 196. Let n = b + -83. Solve -n = t + 4*j - 7, 0 = -t + 4*j - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 + 4*i + 9. Let t(w) = w + 2 + 0 + 0*w - w**3. Suppose -42 = -3*u + 3*c, c + 69 = 4*u + 1. Suppose 3*g - 6 = -u. Calculate g*l(n) + 18*t(n).\nAnswer: 2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1946840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 9, -4, -8, -5, 5, 18 in ascending order.\nAnswer: -14, -8, -5, -4, 5, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2*29\/(-232))\/((-1)\/(36\/(-15)))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1938*j**2 - 805*j**2 + 1419*j**2.\nAnswer: 2552*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 7\/2*r**4 + 3 + 2*r**2 + 0*r - 6*r**3. Factor u(s).\nAnswer: 2*s*(s - 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*o = 4103*o + 2215*o - 163231 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3 = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -22393?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 5*g + 4. Let t be c(5). Let z(l) = l - t*l + 4*l. Let o(i) = 2*i**2. Determine o(z(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9107*d**2 - 1400*d - 9105*d**2 + 1 + 2 + 18210*d**2 as j + s*d**2 + l*d and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o - 4. Let n(y) = 3*y + 3. Let d be 2 + -1 - 3 - 2. Determine d*m(z) - 5*n(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 30 + 46)*(5*h + 0*h - 4*h).\nAnswer: 33*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 84 = 2*b, -4*b + 0*b + 144 = 4*a. Let v be (52 - 1)\/(19\/b). Let n = v + -5. List the prime factors of n.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4042*c - 1337*c - 1327*c - 1351*c.\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11.5 or -31535?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 0*g**5 - 3*g**5 + (3*g**4 - 2*g**4 + 0*g**4)*(-4*g + 3*g + 0*g) + (-g + g + 17*g**2)*(-3*g**3 - 76*g**2 + 76*g**2).\nAnswer: -57*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*c**2*x - 3*c**2 - 2*c*x - 108*x - 3 wrt c.\nAnswer: 20*c*x - 6*c - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -9) + 29 + -29?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*12\/26*(-4)\/24?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 12. Let v be (-1 + 6\/10)*-5. Suppose 28 = 4*o + v*z, z - 5*z - 40 = -4*o. Let c be s(o). Solve c*h = -4*d - 16 + 4, -5*d = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/30)\/((-12)\/10))\/(-1)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28157085293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/((-8400)\/(-264))*(-24)\/(-22)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746*p**3 - 1360*p**2 + 1360*p**2.\nAnswer: 746*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -6, 81516?\nAnswer: 81516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5988 - -0.701. Round d to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.25 + -17. Let p = c - -1.62. Let h = p + 4.83. Round h to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-30)*180\/(-72)*(-20)\/(-17).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**6\/4 + 9*b**5\/5 - 39*b**4\/8 + 6*b**3 - 3*b**2 + 4. Suppose g(l) = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Suppose 7 = -m + 5*o, -2*o = -4*m - 7*o - 3. Let k(f) = -2*f**2 + 22*f. What is m*k(q) - 44*w(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-290989774\nAnswer: 145494887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19910 divided by 19910.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(1100))**2 + (sqrt(1100)*-1*2)**2.\nAnswer: 6600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/84*(1 + 0). Let h = 2 + -1.2. Let i = -0.4 + h. What is the third smallest value in i, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32140 by 5.\nAnswer: 6428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2\/3)*6. Let t(f) = -f**2 + f. Let b(x) = x**3 + 9*x**2 - 8*x + 1. Let v(c) = b(c) + 3*t(c). Let h be v(i). Round h to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232125432 (base 6) to base 9\nAnswer: -8078832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3f4e (base 16) to base 12.\nAnswer: 9466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45973 - 32377. Let c = r - 367132\/27. Calculate the common denominator of 58\/21 and c.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (95 - 11)*24\/(-14). Let n be 5\/3*w\/(-40). Let x be n\/(-12)*(2 - 2). Solve 4*a + 2*l = 10, x = l + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Suppose 87 = -q + 24. Let t = -64 - q. Sort t, 1, c in descending order.\nAnswer: 1, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, g: 2}. Give prob of sequence vg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*u + 5. Suppose 2*a + 15 = -2*b + 3, -42 = u*b + a. What is the units digit of -16*(b\/3 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*0 - 2. Calculate the common denominator of -63\/16 and h - 59*2\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2518756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2. Let c(b) = 24*b**2 + 182*b**2 + 156*b**2. Give c(f(n)).\nAnswer: 13032*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144391 by 9.\nAnswer: -144391\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1840332156 divided by 52.\nAnswer: -35391003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.17 - 8.87. Suppose -4*l = -4, 2*q = -q + 2*l + 1. Which is the closest to q? (a) -1 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1855.7 > 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 + 57*c + 9. What is a(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -79*c**2. Let d(h) = -10*h**2 - 5*h - 5. Let k(x) = -11*x**2 - 6*x - 6. Let w(i) = 6*d(i) - 5*k(i). Calculate w(r(v)).\nAnswer: -31205*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8826\/(-23536)*(-2)\/(-30)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/24 - r**2 - 3*r. Let w(s) be the first derivative of n(s). Let f(x) = -x**2. Give f(w(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqcqtqxcqqqtcqtc. Give prob of sequence qqt.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) 1629 (c) 3 (d) 176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -373*h + 24. Suppose -3*v - 45 = 5*f - 8, -19 = 3*f + v. Is s(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7154675?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.385 - 0.015. Let j = 22.5 + -18.6. Let d = t + j. Which is the third biggest value? (a) -0.1 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-6))\/(88\/(-2816)). Solve 0 = -h + 5*l + c, -l - 4 = -5*h + 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3254740 a multiple of 545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79\/2 of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 232*j**2 + j. Let h be q(1). Suppose m = 4*o + h, 5*m + 3*o - 105 = 968. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*(-2)\/(-256))\/(135\/108). Let v = y + 277\/160. Calculate the common denominator of 2 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (4 - 0) + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152393572 to the power of 1\/3, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 43*z - 9. Let t(c) = -33*c + 8. Let x(a) = -4*n(a) - 5*t(a). Suppose -24*k = -22*k + 12. Let r(i) = -2*i - 1. Determine k*x(f) + 22*r(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:04 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**4 + 26 - 26 + 0*c**3 + 0*c**3 - 2*c**4 + (c + 0*c + c)*(3*c**3 + c**3 - 5*c**3) - c**2 - 2*c**4 + c**2)*(2 + 2*c - 2).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*r - 4 + 2*r)*(3 - 3 - 2*r).\nAnswer: -4*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -19*q**2 + 4*q. Let z(t) = 19*t**2 + t + 6. Let c(r) = -38*r**2 - 3*r - 13. Let w(h) = 6*c(h) + 13*z(h). Let a(i) = -4*n(i) - 3*w(i). Determine a(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -7*s + 8*s, 5*r = 3*s - 32. Suppose -1 = -k - 7*a + 6*a, -s*a - 14 = -2*k. Let z(f) = -f**3 + 3*f**2 + 2*f + 3. Calculate z(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide (-62)\/(-1)*(3\/(-2))\/((-564)\/23312)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*j*l*m + 25315*j*l - 10*j*m - j + 2*l*m + l + 9*m + 42605 wrt j?\nAnswer: 5*l*m + 25315*l - 10*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17252205 - -30?\nAnswer: -17252155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116514.\nAnswer: 2, 3, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 223 = 412. Calculate the remainder when 32 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16338 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 3*c + c + 2*c. Let f(p) be the second derivative of -15*p - 1\/4*p**4 + 0*p**3 + 0 + 0*p**2. Give f(b(n)).\nAnswer: -243*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 + 5*i + 5. Suppose 0 = 5*y - b + 29, -2*b + 17 = -y + b. Let v(h) = 3*h**2 + 4*h + 4. Give y*v(l) + 4*s(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -36*l**3 + 10*l**2 + 53*l - 18. What is the hundreds digit of m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/y**(4\/7)*y)\/y)\/y)\/y**(-6\/11))**(-10))**(-10) assuming y is positive.\nAnswer: y**(-200\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 797853.1 meters in millimeters?\nAnswer: 797853100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 2. Let w be n(-7). Let o be 0\/(4\/2) + 21. Suppose -w*u + 5*x = 15, 5*x - o = u + u. Solve 0 = z - u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - -4054?\nAnswer: 4103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11090 divided by -1\nAnswer: -11090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 3. Calculate p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/2 - 1997*w. Let d(z) = -342*z**2. Calculate d(q(g)).\nAnswer: -12312*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -129912 and 4.\nAnswer: -519648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + (-22)\/1)\/(3\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((-9)\/(-12) - 1) + -6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4 = -a, -3*a + 1 = -3*g - 11. Solve -4*v = -g*v + 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 + 345. Calculate the lowest common multiple of j and 30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*k + 44, 8 = -3*t + 2. What is the highest common factor of k and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 5*h - 1. Let p be z(-2). Solve -s = -p*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -8.5844, -5, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + q**2 + q. Let x(z) = -7*z**3 - 5*z**2 - 4*z + 1. Let y(u) = 4*m(u) + x(u). Determine y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(26\/(4\/3*-1))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 6 + 13. Let q(r) = -r**3 + 12*r**2 - 9*r - 7. Let p = 117 - 106. What is the remainder when q(p) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-975)*30)\/(((-4)\/15)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j - 11. Let x(b) = -5*b - 5. Let n(k) = 13*x(k) - 6*y(k). Give n(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -139*a + 32. Let l(o) = 46*o - 11. Let g(n) = -11*l(n) - 4*u(n). Let b be g(11). Let j = -332 + b. List the prime factors of j.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2223 - -4388. Let h = f + -4427\/2. Calculate the common denominator of 282\/(-423)*266\/(-24) and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, i: 1, q: 1, b: 2, c: 1}. What is prob of picking 1 i and 3 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 121121974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 5319 = -j. Is -3 + 0 + j*(-8)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 2*b - 5, 5*q - b - 2 = 0. Let d(t) = t**3 + 3*t**2 - 5*t + 3. Calculate the least common multiple of d(-4) and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 4 = -3*v, 2*v + 4658 = 2*f. Let k = f - 1355. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 45.1. What is the second smallest value in 2, 3, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 2\/16*11. Let u(z) = 5*z**2 - 7*z - 21. Let b(c) = -2*c**2 + 2*c + 7. Let d(p) = 8*b(p) + 3*u(p). Let n be d(-2). Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 + 3*l - 4. Determine o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1172.6 - -1173. Let y = 0.2 + -0.26. Is v greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15700 = 232*o - 227*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8841793 rounded to two dps?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 273105\/(-32130)*(-84)\/(-17)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + y + 366301 + 366296 - 732597.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 260 - 14 = 0. Let y be 2\/((-4)\/(-1))*790. Let h = y - x. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3488 divided by -4.\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27505.74um?\nAnswer: 27.50574","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from kekkkkkekke.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:54 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -386 - 25668?\nAnswer: -25a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 225 or 1?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 397?\nAnswer: -19.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/(14\/12)*270\/(-7956) and 43\/255.\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -15*q + 32*q + q**3 - 17*q - 19*q + 30 = 0.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26b - -a9490?\nAnswer: a9222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813, 1611, 2403, 3189, 3969, 4743, 5511?\nAnswer: 6273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50619, 1.28, -0.4, 0.4.\nAnswer: -0.4, 0.4, 1.28, 50619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -152435422?\nAnswer: 152435412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6178856.\nAnswer: 2, 29, 26633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/7, -2\/5.\nAnswer: -1, -2\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 15*q**2 - q - 56. Let z be x(-6). Let w = z + -487. Solve -w*r - 1 = -t + 10, -8 = -2*t - r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 3*m**2 - m - 1. Let s(n) = n**3 - n**2 + n. Let v be s(-1). Give l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89838517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 2:44 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -8, 4, -3\/2 in ascending order.\nAnswer: -8, -4, -3\/2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(0 + (-3)\/(-15)). Suppose i*q - 912 = -q. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-145)\/(-58))\/(5\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 5227\/2, 0.2, -5, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14 + 14 - (-1 - (-2)\/6). Is k > -314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231924 - 423714 + 191790 - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/23)*q)\/q)\/q**9*(q**0\/q)**(-6))**(5\/6) assuming q is positive.\nAnswer: q**(-355\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -17*g - 2. Let o(n) be the third derivative of -3*n**4\/8 - n**3\/6 + 5*n**2. Let q(r) = 2*d(r) - 5*o(r). Is 3 a factor of q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18*(-9)\/36)\/((-33)\/(-22))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 151030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/48 and -65\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7515875538 - -1?\nAnswer: 7515875539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 2. Let h be z(-6). Let s(u) = u**3 - u**2 + 4*u - 2. Let f be s(2). What is the greatest common divisor of h and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**5 - 3*b**5 + 5*b**5 + (40*b + 11*b - 175*b)*(-4 - 2*b**4 + 4).\nAnswer: 245*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521709?\nAnswer: 3, 23, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -10 + 351\/45. Put 0.4, 0.007, i, -2\/21, -0.1 in descending order.\nAnswer: 0.4, 0.007, -2\/21, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 580 - 577. Let f(o) = 5*o**2 - o - 4. Determine f(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-8)\/1)*1*(-115)\/5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12480 divided by -4\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l**3 - 123*l**2 - 357*l - 12. Let c(p) = -3*p**3 + p - 4. Let n(u) = -3*c(u) + y(u). Factor n(h).\nAnswer: -h*(h + 3)*(h + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(4\/(-18))\/((-3)\/18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**4\/24 + j**3\/6 - j**2\/4 + 16*j. Factor d(q).\nAnswer: -(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -167*y - 23188. Calculate w(-139).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 63, 125, 223, 369, 575, 853?\n\"Answer: 2*o**3 + 24*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19*(1*-2 - -1). Suppose 37*f - 36*f - 3*v = 31, -2*f = -4*v - 62. Let d = f + h. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2*t + 361*n**2 + n*t + 5784*t + 24 with respect to t.\nAnswer: -2*n**2 + n + 5784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306 - -1?\nAnswer: 2307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 64*f**3 + 161*f**2 - 116*f + 52. Is c(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 119607. Let h(d) = -5*d. Determine h(f(u)).\nAnswer: 5*u + 598035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876177967.\nAnswer: 7, 17881183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/135*(-15)\/140*-20\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*j - 118*j - 91 = 0. Let v be 2*(2 + 3 + -4). Suppose -42 = -4*t - v*t. Calculate the remainder when j is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3828*t**2 + 11476*t + 48. Let l(p) = -3828*p**2 + 11476*p + 56. Let f(w) = 4*h(w) - 3*l(w). Factor f(c).\nAnswer: -4*(c - 3)*(957*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -302b3 - 2?\nAnswer: -302b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 1 - 18*a - 19*a)*(0 - 1 + 2).\nAnswer: -37*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -298*l + 5*l**4 - l**4 + 287*l + (-4 + 1 + 2)*(2*l**4 + 0*l**4 + 0*l**4) - l**4 + 0*l**3 + 0*l**3 as z*l**2 + r*l + u*l**4 + n*l**3 + c and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c35 - -5?\nAnswer: c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277226634 by -1038302.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:49 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 25*g**2 + 1751*g - 31124. Calculate l(19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73933605.\nAnswer: 3, 5, 31, 52999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 18 = -3, -7 = -n + q. Let x(m) = -299*m**2 + 755*m**2 - 278*m**n. Let s(d) = 2*d. What is x(s(z))?\nAnswer: 712*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7735674 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-18)*1320\/(-1100)*(-2)\/(-8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 47\/2. Let d(y) = 5 + 0 - 3 - 1 - y. Let z be d(1). What is the nearest to g in -3, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 - b + 1. Let u(p) = 4*p**3 + 5*p**2 - 14*p - 8. Suppose -5*x = -6*x + 1. Let q(t) = x*u(t) - 5*f(t). What is q(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-20)*-2)\/(18\/(-30)). Let q be ((-3)\/(-30))\/(4\/10). What is the second biggest value in q, r, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 + 167. Calculate the greatest common factor of g and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(96\/6))\/(6\/(-504)*-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*f + 14 = 0, 4*f - 7 = -b - 3. Calculate the remainder when 38\/4 - (b\/(-8))\/3 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y - 160 = 0. What is the greatest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4\/2 + 15*k**3\/2 + 6*k**2 = 0. What is k?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -x + 6*x. Find the second derivative of 5*s**x + 3*s + 6*s - 2*s wrt s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 784 + -459. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 26*d**2 - 58*d + 65. Give o(24).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 12*w + 3. Calculate q(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 163.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11310 - 2122?\nAnswer: 3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Let y(c) = 5*c**3 + c**2 - 2*c + 9. Let a be y(v). Let z = a - 23335\/36. What is the common denominator of z and -37\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197045 is divided by 16406.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213*s**3 + 12*s**2 - 13180*s.\nAnswer: -1278*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 535966262595?\nAnswer: 535966262595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 10*a**2 - 11*a**2 + 3 - 2*a**2 - 5*a. Calculate the remainder when 33 is divided by b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/29848 and -61\/2072.\nAnswer: 1104376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9804295871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2070 + -2070. Let j be (-142)\/(-3) + 4\/6. Suppose -4*y = -5*p + 102, 3*p - j = p + 4*y. Solve -2*h = -3*s - 3, -3*s = 3*h - i*h + p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - g - 2 - 5, -5*v + 3*g = -17. Calculate the common denominator of 87\/16 and 8\/8 - (-1 - 53\/v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 449, 1\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/272 and -13\/714.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**5 - 15*a**5 + 8*a**5 + (-a - 3*a + 2*a)*(-1 + 1 + 2*a)*(2*a**2 - a**3 - 2*a**2).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 7, -1, -13, -29?\n\"Answer: -2*s**2 + 2*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6392047 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*(sqrt(1377) + -1 + 5) + -1*(sqrt(153) + -1)*-4)**2)*-1.\nAnswer: -7502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-56)\/(-3) - (-5)\/(-10) and 67\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 4:25 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.4739, -0.2, -4?\nAnswer: 1.4739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**5\/40 - 37*j**3\/6 - 42*j. Let k(z) be the second derivative of f(z). Let a(i) = -3*i. Determine a(k(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 8*d**2 - 3*d - 10. Suppose -74*w = -67*w - 21. Suppose -w*x = -19*x + 128. Give p(x).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5506*h**2*y + 6*h**2 + 426*h wrt y.\nAnswer: 5506*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89595 or -89596?\nAnswer: -89595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 17 = 2*i, 0 + 4 = 4*i. Suppose 3*q - 5*h + 21 = 0, 3*q + 3*h = 2*q - 7. Let g = z + q. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + -0.01. Let f = 0 - -3. Let r be 5\/f - (-1)\/(-1). What is the nearest to b in -0.1, 2, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2438, 5 in ascending order.\nAnswer: 0, 5, 2438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(11)*3 + 1) - (sqrt(11) + (sqrt(11) - (sqrt(1331) + -1))).\nAnswer: -2 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**10\/30240 - m**9\/7560 + m**7\/1260 - m**6\/720 + m**4\/24 + 3*m**2. Let v(x) be the second derivative of a(x). Factor v(s).\nAnswer: s*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let i be w(-1). Let u = 1 + i. Solve -7*p = -u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 4) to base 3.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(0 + sqrt(192) + sqrt(192)))**2.\nAnswer: 995328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0 - 1\/225*o**5 + 0*o**3 - 1\/180*o**4 + 0*o + 6*o**2 - 1\/900*o**6. Factor d(h).\nAnswer: -2*h*(h + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468430.\nAnswer: 2, 5, 139, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - b**2 - b + 5. Let r be m(0). Suppose 0*l = 2*l - 4, r*n + 5*l - 20 = 0. Suppose n*f = 1 + 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/7, 2.61, 13.\nAnswer: 0.1, 3\/7, 2.61, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 33*m**2 - 110*m + 70. Let k be x(36). What is the second biggest value in 219, 5\/6, k?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10000 is divided by 4368.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 39*d + 488. Calculate j(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 0*s + 7\/4*s**3 + 0 - 1\/4*s**5 + 5\/2*s**2 - s**4 = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 36*b**2 + 11*b - 16. Let t(g) = -7*g**2 - 2*g + 3. Let j = 381 + -370. Calculate j*t(d) + 2*o(d).\nAnswer: -5*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3785, -4269, -4753?\n\"Answer: -484*z - 3301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/269669 and -46\/127014099.\nAnswer: 127014099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, b: 1, k: 1, w: 7}. What is prob of sequence kwb?\nAnswer: 1\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*r + 2331, -6*n + 4732 = -4*n - 4*r. What is the highest common factor of n and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/7186, 2\/7, 3, 0.1 in increasing order.\nAnswer: -0.3, 1\/7186, 0.1, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3271 - 3291 = -5*t, 3*h + 29 = 5*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wllwllwl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 6*q. Let h be v(-4). Suppose -4*z = 4 - 8. List the prime factors of (z\/(-2))\/((-1)\/h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9491*c**3 - c**2 - 3*c - 3. Let k(r) = -47453*r**3 - 5*r**2 - 16*r - 16. Give 16*a(p) - 3*k(p).\nAnswer: -9497*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20a56a + -16?\nAnswer: -20a583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 21. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - k - 1. Let j(u) be the first derivative of -u**3\/3 + 17*u**2\/2 + 47*u + 22. Let p be j(19). What are the prime factors of a(p)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 3*q - 11 + 7, -3*o - 4*q + 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 + -0.24. Let i be 2 + 8 - (-104)\/(-10). Is v greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 7 = -9. Does z = -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwc when three letters picked without replacement from {w: 5, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10538 - 58?\nAnswer: -10594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) -1\/5 (c) -5 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*m + 22*m - 352. Calculate the remainder when (m\/(-12))\/(4\/6) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca4 (base 14) to base 15.\nAnswer: b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -175 + 178. Solve -q*a = k + 7, 5*a - 4*k = -20 - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630886072.\nAnswer: 2, 797, 98947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o - 9*o - 16*o + (0 - o + 0 - o + 0 + 0 + (2*o - 4 + 4)*(1 - 3 + 0) - 7*o - o + 3*o)*(-2 + 2 + 4).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + b - 1. Let s(k) = -22*k**2 - 2*k + 19. Let t(o) = -2*r(o) - s(o). What is the first derivative of t(i) wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 7*y**2 + 86*y + 178. Calculate the remainder when 15 is divided by s(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 12:41 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 28*o**2 - 13*o - 435. What is x(27)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20183 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*g + 187*g - 96 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.24 - 0.24. Let v = g - 4.5. Let x = 1214 + -1213.99. Which is the second smallest value? (a) -2 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91? (a) 29 (b) 1\/2 (c) 7\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -969, 0.02, 5, 2.\nAnswer: -969, 0.02, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r + 18. What is d(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 + -4)*1828\/(-32)*-6.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4251, -4260, -4269, -4278, -4287?\n\"Answer: -9*d - 4242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/5, 0, 1.44?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*v**2 - 979*v**2 + 2959*v**2 - 988*v**2.\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -60 - -23 - -11?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 849 = -5*q, -4*q = -0*d + 4*d - 1768. List the prime factors of d.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92254355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -13*a - 8. Let x(t) = t**3 - 3*t**2 - 3*t + 2. Give x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994292809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208499100 a multiple of 1241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 24. Let b = -6 + 8. Suppose b*t + 2*r - v = 0, 0*r - 18 = -t - 2*r. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20*(-8)\/(-112)*(-7)\/(-2). Solve p*c = r - 0*c + 10, c - 3 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -18, 13, -24, 0.5, 1, 0.1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*y - 628 + 129, -5*y + 4*z = 1273. Let c = 477 + y. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6426 or -70694\/11?\nAnswer: -70694\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 11*x - 10. Let u be z(-12). What is the third derivative of 7*m**3 - 17*m**2 - u*m**3 + 21*m**2 wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 8*b + 3. Let r = 13 - 5. Let m be p(r). Let w = m + -11. What is the highest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 5:12 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/18 and (-6)\/51 + 3662\/1360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - b**2 - b + 8. Calculate c(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3 + 7*u**3 + 0 - 4*u**3 - 1 - 3*u**2 - u. Determine b(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40931863*h**2 + 30287462*h.\nAnswer: 81863726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-11)*c*c*c)*c*c*c\/c**23*c*c**(-20)\/(c\/(c\/(c*c**(-18))*c)) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 208 - 215, -2*k + 3*v + 9447 = 0. Round k to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let o be 0\/2 + 2\/p. Solve o*h + 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -10*a + 37\/6*a**4 + 2*a**5 - 8\/3*a**3 - 4*a**2 + 0. Factor d(k).\nAnswer: 2*(k + 2)*(4*k + 1)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-2)\/8 - 706725\/(-3780). Let r = -187 + n. Sort -1, -20, r in decreasing order.\nAnswer: r, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -4*a + 4*t - 5, 3*t = -a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 77160*y + 6460272.\nAnswer: 3*(y + 84)*(y + 25636)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 1:20 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57*z + 2*z**4 + 14*z + 20*z + 24*z - 980 wrt z?\nAnswer: 8*z**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5 - 12*v**4 + 33*v**3 + 34*v**2 - 84*v - 72 = 0. What is v?\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.342 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 2. Let u(g) = -3*g + 1. Let r(q) = u(q) + 4*x(q). Let l be r(-13). Let y(d) = -d**2 - 2*d + 3. Calculate y(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 3*y**3 + 5*y - 104*y - 20*y as g + a*y + r*y**3 + b*y**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011220 (base 3) in base 2?\nAnswer: -1101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4 + (-355)\/(-284).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4225, 8088, 11951, 15814, 19677, 23540?\n\"Answer: 3863*k + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -0.1 (b) -4\/7 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43a (base 11) to base 12.\nAnswer: 37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j*((j*(j*j*j\/j**(-2\/3))\/j*j)\/j)\/j)**(-43))**(-2) assuming j is positive.\nAnswer: j**(430\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0)*-7 - (-581856)\/(-28072).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.4 and 0.1592?\nAnswer: 3.5592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 613.8826mm to nanometers.\nAnswer: 613882600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1 + sqrt(637))*1 + -5 + 0 + sqrt(637) + (sqrt(637) + 0 + sqrt(637)*1 - (1 + sqrt(637) + -4)))*-1)**2.\nAnswer: -378*sqrt(13) + 51606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*m + 539 - 176 = 3735 + 2240 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 323 + 34. Is 357 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5. Let n(d) be the second derivative of d**5\/20 - d**3\/6 + d**2\/2 - 26*d. Let t be n(i). Solve -o + 3*p + 5 = -6*o, o + t = -5*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 23*v - 38. Let l be k(-21). Suppose -4 = l*g - 0*g. Put 5, 4, g, 0 in ascending order.\nAnswer: g, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/14)\/(-3)*56\/16. Sort y, 8, -2, 6, 2.\nAnswer: -2, 2, y, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 569440623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 563*l - 54. What is the hundreds digit of c(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Let u(b) = -9*b. Let j(y) = 8*y. Let n(p) = l*u(p) + 5*j(p). Let g(k) be the first derivative of k**3\/3 - 1. Give g(n(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from azqhp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*r + 110. Suppose 0 = -21*s + 54 + 177. Calculate the highest common divisor of r and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 z when three letters picked without replacement from zzddddzzzvd?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127*y**6 - 2*y**2 + 10 wrt y.\nAnswer: 15240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 5212.\nAnswer: -2606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.744 times 1\nAnswer: 0.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**6\/24 + 3*i**5\/10 + 9*i**4\/16 - 1. Factor u(c).\nAnswer: c**3*(c + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10797138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*i = -3, 3*i - 6 = -2*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + g + 6 = 0, -2*a + 2*g - 5*g + 14 = 0. Suppose 6*b - 8 = a*b. Let k(v) = -v - 5. Calculate k(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7509552*i**3 - 1631675*i.\nAnswer: 45057312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - q - 3. Let d be o(2). What is the common denominator of 32\/25 and (21 + d)*(21\/66)\/(-7)?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + 3*c)*(c**3 - 6*c + 6*c)*(-1 - 4 - 1) + (6*c**3 + 15*c**3 - 6*c**3)*(0 - c + 0) + 3*c**4 + 0*c**4 - 2*c**4.\nAnswer: -38*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6159 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p + 2*p**4 - 2*p**3 + 22*p**2 + 0*p**3 + 0*p**3 - 19*p**2 to the form h + y*p + x*p**3 + v*p**2 + j*p**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658872 is divided by 219557.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 81327.534 to the nearest one thousand.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 6*q + 11332 = -2*q. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/13 + 5354*l**2\/13 - 3601830*l\/13 + 24951150\/13 = 0. What is l?\nAnswer: 7, 1335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 10. Let j be u(0). Find the second derivative of l - l**3 - 10 + j wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bb20 (base 13) to base 8\nAnswer: -62704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1720 and 215?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9526594 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15003 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 3 (b) 0.4 (c) -1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**(4\/5))*w\/(w\/w**(1\/4)*w*w))**(-1\/49)\/((w*w*w*w**(-2\/5)\/w*w*w*w)**(-1\/25))**(-15) assuming w is positive.\nAnswer: w**(-13529\/4900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55011*p - 55024*p + 533 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44763576 take away -0.3?\nAnswer: -44763575.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u + 135. Let i be a(0). Let c = i - 413\/3. What is the common denominator of c and 40\/(-14) + 3 - 481\/2730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 73, -136.89, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18846*k**4 - 7*k**2 + 137164.\nAnswer: 75384*k**3 - 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g + 28 = 0. Suppose -4*w - 3 = -5*w. Suppose 4*q = -3*j + w*q + 10, q = 3*j - 2. Solve j*b = 4*s + g*b - 1, 5*s - 23 = b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9280, 9277, 9274, 9271, 9268?\n\"Answer: -3*x + 9283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.9. Which is the nearest to 0? (a) 4\/3 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -64, -66, -70, -76, -84, -94?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*v + 37*v + 5. Let z be (0\/(-4)*v)\/1. Suppose -y = s - 522, z = -y + 5*y + 5*s - 2089. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u**2. Let h(q) = 36*q**3 - 3*q**2. Give -h(v) - x(v).\nAnswer: -35*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -101*n - 4. What is the units digit of a(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4\/7 - 5919*l**3 - 829863*l**2\/7 + 5919*l + 829860\/7 = 0. What is l?\nAnswer: -20, -1, 1, 13831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 116341*i**2 - 26*i - 54. Let o(k) = -23268*k**2 + 5*k + 11. Let s(j) = 11*o(j) + 2*v(j). Let u be s(7). Round u to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 12, 3*n = -17*i + 13*i - 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:14 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 22609*m - 226409. Determine q(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9460*7731\nAnswer: 73135260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 44678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 + 73*q**3 - 403*q**2 + 1 wrt q?\nAnswer: 120*q**2 + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10526 and 4294?\nAnswer: 1189438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*v**4 - 143*l*v**3 - 2*l*v**2 - 14*l*v + 6303*v**4 + 6*v**3 - 7330207 wrt v?\nAnswer: 48*l*v - 858*l + 151272*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 30167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/22*(-1)\/(-6). Which is the third biggest value? (a) 0 (b) -1\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/10560 and 19\/616.\nAnswer: 73920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12744 or -11672?\nAnswer: -11672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q - 55. Let f(s) = 12*s - 79. Let b(h) = 4*f(h) - 5*x(h). What is b(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*(b*b**(-14))\/b*b)\/b*b\/b**7)\/(b*b**(-1)*b*b*b**(-2\/9)\/b) assuming b is positive.\nAnswer: b**(-169\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 3, -38, -2, -1827, 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -6*u**5\/5 - 5*u**4 - 6*u**3 - 2*u**2 + 4. Solve h(j) = 0.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140052 + -45460?\nAnswer: 61262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -5*h + 317. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1612 is divided by 805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1.8, -5 in increasing order.\nAnswer: -5, 1.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*d, -14 = 4*t - 4*d + 26. Suppose -5*f = 15, 0 = -6*l + 5*l + 2*f + 23. Let w = l + t. Solve 0 = -5*a + w*c - 25, -5*a = c + c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12\/263 (b) -13 (c) 1.3 (d) 20 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 9*f + 3. Let s be r(-7). Let l = 126 - s. Suppose 48 = -6*x + 2*x + 2*u, -l = 3*x - 3*u. What is the second biggest value in x, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (6*sqrt(133)*-4 - sqrt(133)))\/(sqrt(847)*2 - sqrt(7)).\nAnswer: 26*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 2448?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*k + 4*k - 162 = 0, -2*k - 139 = -3*m. List the prime factors of m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 66 - 57. Solve -x*c + 10 = -2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = 512. Let w be (-26)\/i + 41\/45. Which is the biggest value? (a) w (b) 0 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2106859.\nAnswer: 691, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 3*i**2 + 9*i. Calculate x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*w**2 - 2*w + 1551 - 1551 in the form a + t*w + i*w**2 and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**7 - 2*v**5\/5 + 25*v**3 - 205. Find the third derivative of t(s) wrt s.\nAnswer: -840*s**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 3) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1*-2)**2 + sqrt(605) + (2 + sqrt(605)*-2)**2.\nAnswer: -77*sqrt(5) + 4844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -12, -195.96 in increasing order.\nAnswer: -195.96, -12, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 + -135. Let q(n) be the second derivative of -1\/2*n**3 - 1\/12*n**4 + 10*n - n**x + 0. Calculate q(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*c + 23 = 5*s, 0 = 2*c - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/(t\/(t**(-8)\/t)*t))\/t))\/t*t*t**(-1\/11))**22 assuming t is positive.\nAnswer: t**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10751599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 24 = k, l + 11 = k + 7 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/(-352))\/(-2*(-1)\/(-24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6 + 1\/30. Let x = g - 4\/3. Let d = -2 + 4. What is the nearest to x in d, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153.7 - -147. Let j = r + 47.7. Let n = -41.000029 + j. What is n rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by -6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38265 - 38253) + (0 - 1124\/94).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-1 + 2)*1. Let y be ((v\/(-2))\/(-1))\/1. Are y and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84)*1*2 - (((sqrt(84) - (sqrt(84) + 2*sqrt(84)) - sqrt(84))*1 - sqrt(84)) + sqrt(84)))\/(-6*-2*(sqrt(768)*2 + sqrt(768))).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-139)\/2*36. Let t(a) = 5*a - 4. Let d be t(-4). List the prime factors of d\/156 + 0 + o\/26.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -182333887 - -5?\nAnswer: -182333882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -0.3 (c) 4\/5 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 1. Let d(m) = -2. Determine -d(o) - 5*g(o).\nAnswer: 5*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4512 in 2\/19, -48, -0.06?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Suppose -o - k*o + 24 = 0. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41514 is divided by 236.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34901053*c**4 - 15*c**2 + 343828*c wrt c.\nAnswer: 837625272*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 174\/54)*6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 24*m - 14. Let x(g) = -24*g + 15. Let f(a) = -6*q(a) - 7*x(a). Let n = -5 + 8. Is f(n) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - 2e?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 divided by -289?\nAnswer: -281\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*z + 298 - 118. Which is the fifth smallest value? (a) 0 (b) 0.08 (c) -1\/7 (d) -3\/4 (e) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*t - 0*d - 500, 3*t + 4*d = 317. What is the least common multiple of t and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47551.68 and -4.8.\nAnswer: -228248.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*z**2 - 58*z**2 - 8*z**3 - 8*z**3 - 70*z**2.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4112.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154495*-5.\nAnswer: -772475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086488 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/17 - 975772*g\/17 + 172194.\nAnswer: 2*(g - 487883)*(g - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352 divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4982*g - 3524527 + 3524527 as u*g + w and give u.\nAnswer: 4982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 4*z**2 + z - 2. Let l be d(4). Suppose a - 26 = 5*y - 232, -121 = -3*y - l*a. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 2455984*n + 5277875232224.\nAnswer: 2*(n + 4297972)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -200254?\nAnswer: 200255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 80*a**2 + 206*a - 243. List the prime factors of h(-74).\nAnswer: 11, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -11, -21, -29, -35?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, z: 16}. Give prob of sequence zzgz.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16963*g + 11456*g + 1002*g + 10485*g.\nAnswer: 39906*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 77. Let v = -179 - -184. What is the least common multiple of 8 and w(v)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86162 - 10591?\nAnswer: 75571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, k: 17}. What is prob of picking 2 e?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 1, y: 1}. What is prob of picking 1 f and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60459.\nAnswer: 3, 7, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**5\/60 - u**4\/2 + 10*u**3\/3 + 100*u**2\/3 + 173*u. Factor o(a).\nAnswer: (a - 10)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19162*v + 46942 + 113329 - 1693231 = 0 for v.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*b - 105*b - 78*b - 225 - 214 to f + o*b and give f.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 9. Let a = -8 + 8. Solve -4*h**2 - 4 + h**3 + i*h**2 + a*h**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -15*t**2 - 19*t + 37. Let q(g) = -7*g**2 - 10*g + 17. Determine -13*q(v) + 6*s(v).\nAnswer: v**2 + 16*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 0.117 (b) -3 (c) -2\/31 (d) -1 (e) 2\/15 (f) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 2*a**2 - 39*a\/2 - 27.\nAnswer: (a - 9)*(a + 2)*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104275*d**2 + 334*d + 337*d - 414*d**2 - 671*d.\nAnswer: 103861*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**3 - r**2 - 2*r + 3. Suppose 17 = 5*b - 3. Suppose -2*j - 6 = -b*j. Is p(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 295, 405, 567, 799, 1119, 1545, 2095?\nAnswer: 2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56853393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 9730?\nAnswer: 4\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -25, -55, -87, -115, -133, -135, -115?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -61, 1, 3.\nAnswer: -61, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 866?\nAnswer: 80538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 207\/4. Let t be (-123 - -104) + (-246)\/(-13). What is the fourth smallest value in t, v, -2\/43, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3443214 and 1.42?\nAnswer: 0.488936388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1485, -3073, -4671, -6279, -7897, -9525?\nAnswer: -11163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v + 0*v**3 + v**3 - 2*v**3 - v**2 + 5. Let s be w(-4). Let t = -2 + s. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x**3 + 19*x**2 - 26*x - 32. Let r(z) = 7*z**3 + 9*z**2 - 13*z - 16. Let k(n) = -3*a(n) + 5*r(n). Determine k(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/(-145))\/((-84)\/(-315)*(-48)\/(-80))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -68\/29?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:07 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 1. Let h be q(-1). Let i(c) = -9 + 2*c + c**h + c - 10*c - 6*c**2. Let u be (14\/4)\/(10\/20). Calculate i(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/48*4*-16. What are the prime factors of (j\/(-3))\/(0 + 5\/2010)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36988350 divided by -350?\nAnswer: -105681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3909635 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 4\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126682.\nAnswer: 2, 97, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/3)*o*o*o**7\/o)\/((o\/o**(-3))\/o**(-7)))**(-8\/9) assuming o is positive.\nAnswer: o**(56\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48720 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 3 (b) 0 (c) -1\/4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-21 + 7 + -3 + (-3 - 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -p + 6*p. Sort 4, p, -5, -3.\nAnswer: -5, -3, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168 + 164 + (-1 - 1 - 7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024035677 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14087621 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*w**2 + 19402*f**3 + 1423*w**3 with respect to w.\nAnswer: -2*f**3*w + 4269*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-1610)*(-46)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -158. What is the lowest common multiple of p and 128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + n**4 + 0*n**4 + 2*n**3.\nAnswer: n**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2869, 5741, 8613, 11485?\n\"Answer: 2872*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/((-48708)\/(-176))*(-4)\/(-4)*6.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7324 + 1375?\nAnswer: 1391.7324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 654030?\nAnswer: 654034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/1*(-2)\/(-6). Let h(z) = -y - 2 + 8 + 6*z. Calculate h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**2 + 3*a**2 + 4*a**2 + (-3 + 3 + 2*a)*(2*a - 3*a - a) + 2*a - 2*a + 2*a**2 - 974*a**2 - 4*a + 1926*a**2 - 983*a**2.\nAnswer: -32*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*z - 2740 - 980 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = 5*t + 3*z + 2*z, 144 = -4*t + 3*z. Let w be (4\/3)\/1 + (-26)\/t. Let x be 22\/4 + (-6)\/4. Solve 3*l = 3*h - w*l - 6, -x*l = 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -10*r**3 + 82*r**2 - 18*r + 13. Let d be s(8). Put d, 1939, 1 in descending order.\nAnswer: 1939, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-332)\/(-14) - (-2)\/7. Differentiate -10*p**3 - 4 - 1 + d*p**3 wrt p.\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2215 - -474. Suppose 0 = -8*v + m + 79. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 14. Let g(h) = 10*h + 11 + 4*h - 13*h. What is the least common multiple of w and g(5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-15))\/(4\/6) - -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2310 = 2*h. Round h to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let k = 2397 + -2398. Let q = 0.88 + 0.12. Which is the fourth biggest value? (a) k (b) 1\/7 (c) q (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/23*(-1 - 3\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.32, -0.07, -108, -2, -0.3?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 27 = 10*v. Solve v*b = -4*k - 3 + 18, 1 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -1 - (16 - 26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 16*y + 10 = -18*y, 6*y + 30 = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**2)\/h)**(-17)\/(h*h**0*h)**(-19))**(-2\/83) assuming h is positive.\nAnswer: h**(-110\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, 40, 0.19, -5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i. Suppose i = 4*a + 15 - 35. Solve 5*q + 7*c - 2*c + 10 = 0, -30 = -a*q + 5*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1171\/2 - 600. What is the common denominator of 121\/20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*x**2 + 633*x - 15 = 0. Calculate x.\nAnswer: 1\/42, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*a + 105*a + 36*a - 60*a - 11*a.\nAnswer: 235*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4504 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 99, 8724, -2, 1 in increasing order.\nAnswer: -3, -2, 1, 99, 8724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) + 1551\/990. Let a(r) be the third derivative of -1\/50*r**5 - 1\/20*r**4 - w*r**3 + r**2 + 0*r - 1\/300*r**6 + 0. Factor a(d).\nAnswer: -2*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.17 - 0.2. Let v = n + 0.07. Let j = v - 0.04. Is j smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373 divided by -592.\nAnswer: -373\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 4*h - 3. Let z be k(-4). Let b be ((-1)\/z)\/(1\/3). Let w = 3\/14 - 23\/42. What is the closest to w in 0, b, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(637) + (sqrt(13) - (-3 + 1 + sqrt(13) + sqrt(13))**2) - sqrt(117)\/(4*sqrt(225)).\nAnswer: -56 + 39*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5533599326040 minus -28?\nAnswer: -5533599326012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -738519000 rounded to the nearest 1000000?\nAnswer: -739000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 115. Let w be -1 + 2 - (0 - -1). Let m be (0 + x)*(w - -1). Solve 0 = 4*g - m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.6, -0.2, 2\/21?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -10*x - 6*x + 6 + 2 - 5 + 3*x + x**2. Suppose 9*r - 60 = -6. Suppose -23 = -r*z + 55. Determine o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/276 and 89\/9936.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -1165. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-54))\/((95\/19)\/5)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 6*c**2 - c - 1. What are the prime factors of d(-4)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 18 = -48. Solve 0 = 2*o - 7*o - u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114201 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -772900 divided by 6550.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14 - 26 = 4*s, -2*s - 74 = -4*j. Let a = -8 + j. Suppose r - 5 - a = 0. What is the greatest common factor of 135 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n**2 + 12*n - 6. Suppose 0 = 2*w + x - 2, -5*x + 0 - 32 = -4*w. What is m(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -783 by -261.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1444*g. Calculate v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 17*z**3 + 4*z + 20. Let j(d) = 6*d**3 + d + 7. Give 11*j(f) - 4*v(f).\nAnswer: -2*f**3 - 5*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10950 + 10465 = 5*k, 0 = -2*j - 2. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 2*g**2 + 21*g + 9. What is the lowest common multiple of w(-6) and -1*(1 - (-3 + 19))?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25854 is divided by 24643.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20d6 - -220?\nAnswer: 22f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 20 = 0, -2*w + 3*u - 6 - 4 = 0. Let z be (w + 10)\/(0 - 1). Does -2\/21 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 239604848 - 239604849.22100511. Let y = n + 1.221. What is y rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -4. Let b(n) = n**2 + 3*n - 7. Calculate the remainder when s is divided by b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1)*(1331194\/11094 - 120)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33577*-8.\nAnswer: -268616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1673274 to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-21))\/((-1)\/6). Let z be (-3)\/3*(-189)\/(-49). Let k = z - -4. Which is the second biggest value? (a) h (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8 = 4, -p - 4*o = -4. Calculate the least common multiple of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*p - 101*p - 185 + 13625 = 0 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 3*r**2 - 41*r - 2. Determine c(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -78524 times 224\nAnswer: -17589376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 174 or 154?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 + 2088444*m**2 + 104414700*m + 1305152500 = 0 for m.\nAnswer: -522061, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1666*f**2*z**2 - 3793*f**2*z + 109*f**2 - 552*z**2 wrt z.\nAnswer: 3332*f**2 - 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvhhvvv. Give prob of sequence hv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) - (sqrt(288) - (sqrt(288) + sqrt(288)*-2))**2 - (sqrt(50) + -3)) + 2*(-3 + sqrt(882))**2.\nAnswer: -236*sqrt(2) + 6378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10608*x**4 + 25353*x**4 - 4767*x**2 - 10681*x**4 wrt x?\nAnswer: 97536*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 3*a - 15, 4*b + 54 = -10*a - 4*a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 1. Let p be c(1). Let h(d) = -d**2 - 4*d - 5. Let m be h(-4). Sort p, m, 5 in decreasing order.\nAnswer: 5, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -4, -17 in ascending order.\nAnswer: -17, -4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 15 - 29*h + 20*h - 165*h**2 + 152*h**2. Give p(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -508 + 519. Let p(g) = -g**2 + 13*g - 1. What is p(t)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/47820 and -17\/720.\nAnswer: 573840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/10*(2 + (-12)\/6). Solve 16 = -f - q*b - 4*b, -f = 2*b + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.618 rounded to the nearest integer?\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 841711019 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82246 is divided by 5139?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4+-0.055395\nAnswer: -4.055395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 62 = -43 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 14*o**2 - 27*o + 31. Let y be w(12). Let f(s) = -2*s - 532 - s + 534. Let d(x) = -4*x + 3. What is y*f(m) + 4*d(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 9*h**6\/2 + 54*h**5\/5 - 99*h**4\/4 - 26*h**3\/3 + 38*h**2 - 24*h - 4. Factor f(o).\nAnswer: (o + 1)*(o + 3)*(3*o - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5751 - 0.58. What is p rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - 10*h**2 + 5*h + 9. Let a(j) = j**3 + 5*j**2 - 2*j - 4. Let w(o) = 5*a(o) + 2*l(o). Let d be w(5). Put 2, 1, d in decreasing order.\nAnswer: 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.031 in -2\/43, -0.4, -8.6?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k**2 - 13. Let z(n) = 22*n**2 - n + 24. Determine 15*t(d) + 8*z(d).\nAnswer: 41*d**2 - 8*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -126946560 divided by 6240\nAnswer: -20344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17238, 137764, 464906, 1101972, 2152270, 3719108?\nAnswer: 5905794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 3:36 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 5, -36\/7, -2\/9, 7, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1373 = 53*w - 669 + 197 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -13. Suppose 5*n - 19 = 6*q, 2*q = 42*n - 41*n - 3. Which is bigger: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 576, 864, 1152, 1440, 1728?\nAnswer: 2016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -913 - -975. What is the lowest common multiple of p and 70?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -15. Calculate the least common multiple of c and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 91. Suppose -6 = -6*p + g. Solve -2 = p*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27944 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + 16\/(-3). Let j = n - -14. Let k = 0 + 4. What is the lowest common multiple of j and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -12)*(-6)\/(10 - 28). Suppose 3*i + 6 = 5*i. Suppose 2*m = -z + 17, i*z - 26 = -v*m + 21. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 2*y - 44. Determine f(-12).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -230 - -228. Let x(s) = -s**4 - s**3 + s**2 - 1. Let v(q) = -2*q**5 + 29*q**4 - 3*q**3 + 3*q**2 - 3. Let k(j) = z*v(j) + 6*x(j). Factor k(m).\nAnswer: 4*m**4*(m - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.4 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 46*q**5 + 90*q**4 - 4*q**3 - 92*q**2 - 42*q + 2 = 0.\nAnswer: -1, 1\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47412 divided by -5268.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*c + 1273. Let g = -3221\/11 - c. Let u = -1 + 1. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, h: 3, a: 1, l: 4, b: 1}. What is prob of sequence hbh?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**3 - 379622*w + 3331407.\nAnswer: 6*w**2 - 379622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.09. Let h = o + -0.39. Let m = -40 - -38. Which is the nearest to h? (a) 2\/19 (b) m (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100530 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a3a2d + -1b?\nAnswer: -a3a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/166500 and 71\/29082.\nAnswer: 21811500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -44. Factor 3 + 3*t**u - 2*t**2 + 8*t + 13 + 0*t**2.\nAnswer: (t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 + 9 - 67 + 23*x**2 + 213*x**2 as p + l*x**2 + h*x and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -140685, 1, -7 in ascending order.\nAnswer: -140685, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1. Let u(y) = y**2. Suppose -5*k - 5 = -4*c, -14*k = -11*k + 3*c + 3. Calculate k*u(a) + 3*z(a).\nAnswer: -a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzfkfrkz. Give prob of sequence zz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -164078999*h + 46254290 wrt h?\nAnswer: -164078999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 y when four letters picked without replacement from {h: 4, y: 10}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10250106 divided by -3?\nAnswer: -3416702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 3*i - 26 + 4 + i - 9*i.\nAnswer: -11*i - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349039 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*h + 328*h = 2593 + 1007. Let y = 13.4 - 12. Let r = y - 0.4. Which is the closest to -1? (a) h (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 + 16*l**2 - 18747*l - 56341. What is f(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**2 + 1022980*i + 1022985 = 0.\nAnswer: -1, 204597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let r be n(-3). Suppose -52 = -z - r*z. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, 1 o, and 1 v when four letters picked without replacement from fvdvywodw?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from {y: 4, h: 1, c: 11, s: 1, n: 2}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8320 + 8157. Sort -4, q, 2.\nAnswer: q, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*g = -4, -5*w - 5*g + 47 - 17 = 0. Which is smaller: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -262.85 + 251. Let r = j + 12. Let a = 0.05 - r. Which is smaller: a or 0.03?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1139500335 and 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 3*c**2 - 133 + 5*c**2 - 3*c**2.\nAnswer: 2*c**2 - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.1 + 0.25693.\nAnswer: -88.84307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 1 = -11*c. Suppose -c + 6 = s. What is the least common multiple of s and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8278454535 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60735384 is divided by 3007.\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.9 + 1686.6.\nAnswer: 1677.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34404 by 50.\nAnswer: 17202\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 5*a. Let p(k) = 11*k**2 - 11*k. Calculate 6*n(v) - 3*p(v).\nAnswer: -21*v**2 + 63*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*v**3 + 11 + 20*v**3 - 10 - v**2 in the form i*v**3 + h*v**2 + g*v + f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(-1 + (sqrt(1088) + 0 + 4)**2)*3.\nAnswer: 576*sqrt(17) + 9927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872\/5 < 573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1519, -1796, -2075, -2356, -2639, -2924?\nAnswer: -3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 25, 48, 93, 166, 273, 420, 613?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 389 to the nearest ten.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -677194, -677195, -677196, -677197, -677198?\nAnswer: -677199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 3 - -4 - (-2 + -1) - -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1203*a**2 + 744 wrt a.\nAnswer: 2406*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -5 (b) 115\/31 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.975 - -0.235. What is g rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - (-15 - -6)) + -1 + -14 + 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 5*n**3 + 0*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2 - 14*b - 520 = 0. What is b?\nAnswer: -13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*l**2 + 8*l**2 + 90*l**2 to a*l + j + u*l**2 and give u.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/183932052 and 17\/13844348?\nAnswer: 1287524364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-8)\/4840)\/((-14)\/77))\/(6\/10). Let c(o) be the third derivative of 47*o**2 - i*o**4 - 3\/110*o**5 + 0*o + 0*o**3 + 0. Factor c(b).\nAnswer: -2*b*(9*b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 + -144. Let h(b) = b**3 + 7*b**2 + 7*b + 5. Is h(w) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7 + j - 2 - 9. Determine d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 69776*y - 80036660.\nAnswer: -(y + 1210)*(3*y + 66146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:32 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/48 + 31*2\/12. Suppose -q = -5*o + 5 + 13, 2*o - 18 = -l*q. Suppose 5*f - 2*b = 44, -f + 4 = 3*b + 2. Solve -2*t + q = f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3206, -3625, -4042, -4457, -4870?\n\"Answer: z**2 - 422*z - 2785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, -43, -0.4, 0.3 in decreasing order.\nAnswer: 0.3, -0.15, -0.4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.299991. Round f to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1080261041067 and 0.2?\nAnswer: 1080261041066.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 122*r - 124*r + 6, 17 = 3*r - 5*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 107\/5. Let m = 1059.8 + -1060. Let y = -4 + 0. What is the nearest to 1 in y, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*b + 6, -3*b + 4*l + 9 = 17. Suppose b = i + 966779 + 1083221. Round i to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/60 + h**4\/24 - h**3\/6 - 2*h**2. Let i(q) be the first derivative of -q**3 - q**2 + 2*q + 6. Determine i(x) + 2*v(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 523, 484, 419, 328, 211, 68, -101?\n\"Answer: -13*k**2 + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 2*u + 8, -i + 7 = 3*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3))**(3\/25)*(b*b*b**(1\/7)*b)**(39\/2) assuming b is positive.\nAnswer: b**(10732\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28094 less than -0.062358?\nAnswer: 28093.937642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.349 - 51.382. Let w = -31 - y. Let n = -0.03284 + w. Round n to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1304116 or -1304121?\nAnswer: -1304121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/318898 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1920 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 29 = c - 5*s, 0 = -5*c + 2*s + 30. Suppose 0 = -c*f - 16, a = 5*a + 2*f. Let b(h) = 5*h**2 - h - 2. What is b(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 14) to base 11.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5480 is divided by 98.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + 5 - (sqrt(2)*2*-3)**2) + -3*((sqrt(50))**2 + 1))*2.\nAnswer: -440 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3102*i**2 + 2*i**4 + 2 - 3101*i**2 + 4*i**3 - 2*i**3 + 8*i - 4*i**4 to the form a*i**4 + t + w*i**3 + d*i**2 + b*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 v, and 1 q when four letters picked without replacement from {v: 1, q: 1, z: 5, o: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8269243.\nAnswer: 8269243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y**3 + 0*y)*((3*y + 4*y - 6*y)*(-5 + 4 + 0) + 3*y + 0*y + 0*y + 2*y + 4 - 4) - 4*y - 2*y**4 + 4*y.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 2127 - 2151 = 0. Let z(i) = i**2 + 6*i - 2. Calculate the least common multiple of y and z(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/704 and 87\/5129168?\nAnswer: 20516672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 98 + 2083 - 1985.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 4. Let m be d(-8). Let k(y) = 3*y - 4. Let o be k(m). Suppose -4*x - 32 = -o*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4216 (base 9) to base 7\nAnswer: -12006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4688.6+-201023496\nAnswer: -201018807.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.7441l in millilitres?\nAnswer: 588744.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11035 + 13656. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10431*v**5 - 3*v**4 + 47*v**3 - 2*v**2 - 23*v - 38140 wrt v.\nAnswer: 625860*v**2 - 72*v + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23806*t - 23030?\nAnswer: 23806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 + 2*c + 4. Let z be l(0). Let j(i) = 2*i - 6. What is the units digit of j(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 17*c + 18. Let i be z(18). Let v = 0.2 + -4.2. Let h = -3 - v. Is h < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106\/5? (a) -2 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -21, 1, -3, 4, -18 in descending order.\nAnswer: 10, 4, 1, -3, -18, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h. Let f(w) = 30128694*w. Give s(f(i)).\nAnswer: -90386082*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 128 = -4*p. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h. Let c(t) = -360*t**2. What is a(c(s))?\nAnswer: 720*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 i when three letters picked without replacement from iiaoieeeeinleio?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 40*g**3 + 246*g**2 - 352*g - 640.\nAnswer: 2*(g - 8)**2*(g - 5)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1293565, 1293260, 1292955, 1292650, 1292345?\n\"Answer: -305*f + 1293870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*n - 0*l - 2*l, -5*n + 3*l + 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/15)\/(2\/(-129)). Suppose -h*z + 172 = -42*z. Suppose 6*r = 7*r - 16. What is the least common multiple of r and z?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*g - 20, 3*n + 8*g - 8 = 4*g for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c - 18*c**6 + 0*c**2 - 7*c**6 + c**2 wrt c?\nAnswer: -3000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**3 - 5*b**2 - 7. Let h(g) = -12*g**3 + 10*g**2 + g + 13. Let d(p) = -3*h(p) - 5*x(p). Determine d(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -32. Let u = -37 + k. Let v = u + 12. Is -13 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 92798 and 92797 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 970, 973, 976?\n\"Answer: 3*s + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**6*t**2 + 88*r**6*t + 712*r**2*t**2 wrt r.\nAnswer: 120*r**3*t**2 + 10560*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.935427 + 1.9275. What is m rounded to four dps?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.37 - -20.37. Let d = -24 + q. Let o = 0.8 + -0.4. What is the smallest value in -0.2, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 4, 5, -3 in descending order.\nAnswer: 5, 4, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 3\/5 (c) -1\/3 (d) 1\/9 (e) 16 (f) 2\/7 (g) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, -1065, 0, 24.\nAnswer: -1065, -5, -3, 0, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c - 1058. Give u(88).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8*(-195)\/(-416))\/(3\/12). Solve -47 = i*b - 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 529 - 524. Let r(g) = 2*g. Let k be r(1). Solve -k*y + 7 = u - 2*u, 4*y = -p*u - 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*a + 662, 3*o - a - 1318 = o. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45, -52, -65, -84?\n\"Answer: -3*t**2 + 2*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -a, 2*h - 1 - 4 = -a. Suppose -105 = -7*g + h*g. Calculate the remainder when 138 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 86?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88479 and 522435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 59673783.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128130560 divided by 3203264.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3069 and -31\/19302.\nAnswer: 19745946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**3 + 3*x**2 - 3*x. Let g(v) be the first derivative of 6*v**4 + 14*v**3\/3 - 7*v**2 - 6. Let s(t) = 3*g(t) - 14*p(t). Determine s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*p. Sort 4, p, 1 in ascending order.\nAnswer: p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2131346848?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 10*g**2 - 2*g + 12. Determine h(4).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(312) + sqrt(312))\/sqrt(6))\/(2*(sqrt(16) - sqrt(4))*-3).\nAnswer: -13*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 11*x + 1. Suppose 0 = 4*p, 2 = o - 0*p - 3*p. Suppose 2*j - 39 = w, -5*w - 66 = -o*j - 7. Calculate the remainder when a(5) is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4523277*w**4 - 4599972*w**2 wrt w?\nAnswer: 108558648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3479 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 1:38 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1274 = -3938. Let f = r - -860. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 + 141*d - 144*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000890615277 rounded to seven decimal places?\nAnswer: 0.0008906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yay when three letters picked without replacement from afayzy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 i, and 1 h when four letters picked without replacement from ohiiooo.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/97 and -13\/14.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:42 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by -95728?\nAnswer: -29\/95728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 3*q. Suppose -d = -0*k - q*k - 13, 6 = -3*k. Suppose -2*h = d*j - 54, 4*h = 3*j + 2*j + 138. What is the highest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + (sqrt(176) - ((sqrt(176) - sqrt(176)*1 - sqrt(176)) + 2 - sqrt(176)) - sqrt(176)) + 3)**2 - (6*(4 + sqrt(539)) + 0)**2.\nAnswer: -18395 - 1992*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 1.7. Suppose 38 - 38 = 2*z. Let g = -0.08 + 0.28. Sort g, z, u in ascending order.\nAnswer: z, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -1\/3*d**3 + 1\/6 - 1\/6*d**5 + 1\/3*d**2 + 1\/2*d - 1\/2*d**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/7 (b) -287 (c) 5.38 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4087 + -2899. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4503*v - 30733 = -985*v - 181343 - 41470 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125.3 - 125.3607. Let i = 0.0107 + l. Round i to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 25. Suppose 5*o + k = -0*k + 85, -3*o - k = -a. Calculate the smallest common multiple of 22 and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62 + -1886?\nAnswer: -2058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2760 = -4*m, 5*p + 2057 = -2*m + 5*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.375918 minutes to milliseconds.\nAnswer: 22555.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 + 48 = 0. What is the units digit of (-2)\/(-1 + 9\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2117 * 0.3.\nAnswer: 635.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201 - 605\/3. Which is the second smallest value? (a) m (b) 0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*l**2 + 183*l**2 + 186*l**2 - 5 - 563*l**2.\nAnswer: -8*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 377723220 divided by -268460\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -247.0001231 + 247. What is b rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2\/5 (b) -6\/113 (c) 16 (d) 1 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10829 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56180\/44 - ((-54)\/(-33))\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5) + 2 + -8 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = h + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -1 (c) 0 (d) -828 (e) 134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 8*k**2 - 2*k - 61. Let j be i(9). Suppose -21 = a - 94. Suppose -w + a = v, 140 = j*w + v + 3*v. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7969 at least -7971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + -84479?\nAnswer: -84462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-135)\/25 + 14\/10. Let x = -38 + 107. Let u = x + -75. Which is the closest to i? (a) u (b) 2\/11 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9982 - 9981.9. Let y = -3.001 + 3. Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(125))*3 - (-2 + (2*sqrt(1600))\/sqrt(5)))**2*4.\nAnswer: -88*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130211213 (base 5) to base 7.\nAnswer: 5241510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/18414 and 127\/18414.\nAnswer: 18414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-2 - -2) - -2. Suppose i*c = 3*c - 18. Solve 5*t + 3*o = c, 0 = -t - 3*o + 4*o - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*s - 277151*c**2 + 6*c*s + 2*c - 5*s + 179 wrt c.\nAnswer: 6*s - 554302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 14 - 10. Suppose 3*g = 5*g - u. Suppose 0 = -4*i + 2*h + 268 + 168, i + h = 106. What is the highest common divisor of i and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9987 is divided by 828?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*h + 60, 0*x + 3*x + 2*h - 32 = 0. Let d be 0\/2 - -1*297. Suppose 5*l = d - 107. Calculate the remainder when l is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*q, 2*q - 16 = -5*r + r. Suppose -r*i - 20 = -3*h, 5 = -i - 4*i. Suppose -h = -2*y + 2. 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 h be (4\/(-22))\/(((-42)\/(-56903))\/(-6)). Solve 1476*f - 10 = h*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36765743?\nAnswer: 7, 5252249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 316 (b) 3\/5 (c) 78235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2.239 (b) 3 (c) -201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*i**2 + i - 46 - 2*i + 46 to o*i + k*i**2 + c and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -423? (a) 1\/3 (b) -1\/6 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2017*m**4 - 7*m**3 + 49*m - 2008*m**4 + 2*m**3 to the form u*m**3 + w*m**2 + f*m**4 + i + z*m and give z.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 + -45. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3294030 to the nearest 10000.\nAnswer: 3290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-186)\/45 + 4*1. Let w = 0.3 - 0.8. What is the second biggest value in 0, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {m: 2, k: 1, v: 1, p: 2, b: 2, j: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/83?\nAnswer: -6\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f - 291. What is c(-39)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:55 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 77153, -2, -3, 1 in decreasing order.\nAnswer: 77153, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 21*c - 1. Let q(v) = 6*v + 0*v - v. Suppose 0 = x - 9 + 3, 4*b = 2*x + 24. Calculate b*q(p) - 2*s(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-8140)\/385 + 169\/7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 1, -70, 11 in ascending order.\nAnswer: -70, 1, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 15\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = 0, 4*k - h - 67 = -k. Let q = k - -86. Suppose 24 + 34 = 2*u - 4*g, -2*g = -3*u + q. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121000 - 12001?\nAnswer: -210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125267.\nAnswer: 3, 11, 13, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c + c - 2 + 2 - 2*c + (1 - 1 + 1)*(4*c + c - 6*c) + 0*c + c - 2*c + 5*c + 22*c + 52*c)*(-8*c + 13*c**3 + 8*c).\nAnswer: 1001*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 11. Let k = p + -4. Suppose 0 = 5*m - m + 3*g - 1, 23 = k*m - 3*g. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juaiell. Give prob of picking 1 i and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 4. Let p be a(4). Let i(t) = -t - 5. Let g be i(p). Suppose y = g + 31. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**6\/80 + 7*y**5\/20 - 49*y**4\/16 + 17*y**3\/2 - 113*y**2. Factor k(v).\nAnswer: 3*(v - 2)*(v - 1)*(v + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/1408751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14647634 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z + 12. Let a(l) be the second derivative of -l**3\/3 - 3*l**2 + 1269*l. What is 7*a(i) + 3*m(i)?\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**3 + 0*z**3 + 19*z**2 - 12*z**3 + 3*z**3 wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1348, 6, 2\/7?\nAnswer: 1348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**2 + 632*f**2 + 187*f**2 + 42*f**2.\nAnswer: 843*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/3 - g**4\/3 - 41*g**3\/3 - 107*g**2\/3 - 100*g\/3 - 32\/3 = 0. What is g?\nAnswer: -4, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -1, 5, 4, -7, -2 in ascending order.\nAnswer: -7, -2, -1, 4, 5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5134110244 + -10?\nAnswer: 5134110234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1946*g + 719. Is c(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47737 + 478217\/10. Does x = 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 20*g**2 + 3*g + 64. Let a be p(-20). Solve 3*v + a*v = -21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-2601)\/510))\/(5\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07954 - 0.079. What is r rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1464132*l**2 + 67778*l wrt l?\nAnswer: 2928264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*d - 4*d. Let a = d + -19. What is the smallest common multiple of 9 and ((-4)\/a)\/(6\/(-9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-24))\/j)\/j)**(21\/2)\/(j**(-18))**(-49) assuming j is positive.\nAnswer: j**(-2289\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b - 84663 = 55077. Which is smaller: -4659 or b?\nAnswer: -4659","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9028202 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -3*g - 21 + 83\/6*g**3 + 44*g**2. Differentiate l(u) wrt u.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3345\/892)\/((-3)\/8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from kttk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-123)\/189 - (2\/9)\/(-1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/5, 0.23, -3\/13, 4, 7\/2, 21.3?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -5, 5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*c = 27, 22 + 27 = 5*b - 2*c. Let u = b + -21. Let z = u - -9. Put z, 0, -3 in decreasing order.\nAnswer: 0, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w, -2*d - 3*w = w - 68. Let k be (-8)\/(-14)*d\/8. Solve -3 = -5*u + k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {p: 18, d: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1651, 3291, 4921, 6535, 8127, 9691, 11221?\nAnswer: 12711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 59 = -11*f - 11. Sort -165, 0, -4, f in decreasing order.\nAnswer: f, 0, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 258 + 171 + 31*r - 190 - 19*r. What is i(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2 + 5631492*v + 90104640 = 0. What is v?\nAnswer: -16, 1877180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*j**3 - 6 - 89*j**3 + 3 + 289*j**2 + 3 as x + c*j**3 + v*j**2 + l*j and give v.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -279 + 259. Let h(z) = -z**3 - 5*z**2 + 7*z + 6. Let o be h(-6). Suppose 0 = i + 2 - o. Sort i, -4, c in increasing order.\nAnswer: -4, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4018 + 0*m**2 + 3*m**2 + 34623*m - 34623*m + 0*m**2 in the form i*m + c + l*m**2 and give c.\nAnswer: 4018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -768\/67 - -249997\/21909. Calculate the common denominator of t and -13\/4.\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/40 + 1111\/10. What is the greatest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 3605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941357309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v + 2374. Let y(o) = -50*o - 9498. Determine -9*b(x) - 2*y(x).\nAnswer: x - 2370","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53388.\nAnswer: 2, 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let q(l) = -1. Let c(u) = 17*u - 6. Let m = 88 - 82. Let s(a) = m*q(a) - c(a). Give s(k(t)).\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-21)*b)\/((b\/b**16)\/b) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-1020))\/((-43)\/(-430)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.65 (b) 0.2 (c) 2\/7 (d) -2\/17 (e) -52 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 80.3111?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = 2*d, -5*p + d = 4*d. Suppose 4*b + 15 = 3*y, b + 15 = -0*b + 3*y. Put -5, p, b in descending order.\nAnswer: p, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 5:16 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 1a4690?\nAnswer: 1a468b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22885, -45735, -68587, -91435, -114273?\nAnswer: -137095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118 or -820\/7?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2*y**2 - 33. Let i(h) = 21*h**2. Give i(v(l)).\nAnswer: 336*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -7, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1247573535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4 + 1160*j**3 + 58006*j**2 + 625528*j - 2430120 = 0. Calculate j.\nAnswer: -526, -35, -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4. Let k = -0.02 - 0.38. Sort z, k, -1 in decreasing order.\nAnswer: z, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276*f**3 - 8*f**4 + 275*f**3 + f - 551*f**3 - 4 to the form l*f**3 + m*f**4 + x*f + z*f**2 + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 3, w: 2, b: 8}. Give prob of sequence ssb.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 4, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 594164648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 1. Suppose -15*b = -13*b - 12. Calculate the remainder when q is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.44 and -225590?\nAnswer: -99259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 4*y**2 - y**2 + (1 - 1 - 2*y)*(0*y - 6*y + 4*y) - 3*y**2 - 2*y**2 + 3*y**2 - y**2 + 0*y**2 + 0*y**2 - 148*y**2 - 4*y - 3*y + 150*y**2.\nAnswer: y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 1.9, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1169 and 4445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39, 5, -10, 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**2 + 3. Let h = 38 - 36. Let r be c(h). Solve -r*f + f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*g + 5*a, -5*g = -7*a + 2*a - 15. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1291*w**2. Let u(p) = 7*p. Determine u(t(x)).\nAnswer: -9037*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/40 + ((-1541)\/690 - (1 - 1)).\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a microgram in nanograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from xsxgg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/(-18))\/(-8)*-9)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*q**2 - 9*q**2 - 17*q**2)*(5 - 5 + 3 - 2*q) + 2*q**3 + 2*q**2 - 2*q**2 in the form c + l*q + m*q**3 + p*q**2 and give m.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 362374 by 6.\nAnswer: 181187\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*i**2 - 76*i - 75*i**2 - 81*i - 81*i + 236*i.\nAnswer: -235*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.72 times 14978?\nAnswer: -25762.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -b + 5*x, 4*x + 13 - 44 = 5*b. Is -2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 41*b**2. Let w(t) = -20683*t + 3. Calculate w(k(x)).\nAnswer: -848003*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1786*d - 14*d**2 + 0*d**2 - 3590*d + 3*d**2 + 1804*d.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 111*l - 14. Suppose -8 = -10*t + 22. Is r(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*s = -0*o - 7, 2*o - 3*s = 19. Does 28\/5 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29328397*o**2 - 12*o + 4259737 wrt o.\nAnswer: -58656794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 - -133. Calculate the highest common factor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9252 + -8217. Calculate the greatest common factor of 45 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72*(7\/14 + 0). Let n be s*(-1 + -2 - 2449997). Round n to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(2\/47))\/w)\/w**(-3)*((w*w**(-2)\/w)\/w)\/((w\/(w**(-7)*w))\/w*w))**(-28\/3) assuming w is positive.\nAnswer: w**(9268\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + (-3 - 3) + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:13 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1, -201?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 444*d + 1. Let l(p) = -p. What is l(o(k))?\nAnswer: 2*k**2 - 444*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 672967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/(f*f*f\/f**20)*f)\/f)\/f*(((f**(-19)*f)\/f)\/f)\/f)\/(f\/(f*f**(-27))*f*f**7) assuming f is positive.\nAnswer: f**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 2*s - 406 = 3*p, 3*p - 237 = s. Suppose -w + 400 = w. What is the greatest common divisor of w and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*w + 3*w + 11, 0 = 2*r - 3*w - 22. Suppose r = 3*k + 26. Let t be 2*(-4 - k)*1. Calculate the greatest common divisor of t and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2232 and 248?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {l: 1, q: 3, d: 1, n: 3, k: 6, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*o + 15, 5*k = -0*k - 3*o + 6. Suppose 5*u = k*u + 46. What is the greatest common factor of u and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmhrhgrhhgmhhhhrhhr. Give prob of sequence ghrm.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -1\/66*h**5 - 1\/44*h**4 + 0 + 3\/11*h**3 + 26*h**2 - 1\/660*h**6 + 0*h. Factor p(u).\nAnswer: -2*(u - 1)*(u + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*-5*6\/(-8). Let a = 6 - 2. Suppose w + 6 = 3*v, 1 = -5*v + 3*w + 11. Solve 3*g - l = a*g + 5*k, -v*k = 3*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/4 - 66463*u**3\/4 - 736232805*u**2\/2 - 2718662326853*u - 2718294227066.\nAnswer: -(u + 1)*(u + 22154)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 12 - 5)*(-1 + 1 - 4*u**5) + 4*u**4 + 4*u**5 - 4*u**4 + (0*u - u**2 + 0*u)*(-u**3 - u**3 + 4*u**3) - 2*u**5 - u**5 + 2*u**5.\nAnswer: 101*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 f when three letters picked without replacement from {p: 1, f: 4, i: 6, t: 2}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-61 + 69 + 2 + -9 + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -q. Suppose -q*i - 3 = i. Let x be (3 - 8\/10) + -2. Is x less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**5 + 35*r**4 - 70*r**3 + 40*r**2 = 0. Calculate r.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-1)\/((-10)\/(-4))). Let w(t) = t**2 - 8*t + 5. Let a be w(n). Let i = a - -14. Solve -d - 1 = i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97640805?\nAnswer: 3, 5, 6509387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 61 bigger than 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 4\/3 (c) -3 (d) 9 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -23*b**4 - b**2 - b - 27. Let z(o) = o**4 - o**3 - o**2 - o + 1. Let u(g) = c(g) - z(g). Differentiate u(n) with respect to n.\nAnswer: -96*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + (11 - 10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w + 39. Let m = 63 - 39. What is the remainder when m is divided by 1\/((0 + -1)\/w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 times -604\nAnswer: 51944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 28 (c) -557\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b + 4*w = 28, 5*w - 20 = 0. Calculate the highest common divisor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:34 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((1062\/(-312))\/(-59))\/(162\/(-48))\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.5, 0.5, 2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877376.\nAnswer: 2, 3, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39036331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 22956 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 11. Let c be g(10). Let k = c - -37\/4. Put k, -3, 2 in descending order.\nAnswer: 2, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5384, -5387, -5390, -5393, -5396, -5399?\n\"Answer: -3*m - 5381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p + 85 = 5*d + 40*p, -3*p + 31 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhbhbhhhh. Give prob of picking 3 h.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4 - 23*t. Let b(j) = -j. Give q(b(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, n: 2}. What is prob of picking 1 e and 1 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5638 = 1427*p + 6577 + 4909 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 73. Let d be v(18). Is 83030\/38 + 4\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 8 - 3)*(-u**2 + 5*u**2 - 3*u**2 + (u - u - u)*(-7*u - 3*u + 2*u))*(-9*u - u - u)*(7 + 1 - 3) in the form t*u**3 + h + o*u + x*u**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:20 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -873*a**2. Let t(c) = 2*c. Calculate t(l(f)).\nAnswer: -1746*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -18. Sort 1\/2, -2\/5, t in decreasing order.\nAnswer: t, 1\/2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01005471 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*t - 492 + 22 - 479 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/4)\/3)\/(-2)*16\/(-9)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*p + 6 = 0, -5*a + a - 60 = 4*p. Let z be 78 + 0 - (-1 - 0). Is (z + 0)\/((-6)\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2060 + 55219.\nAnswer: 57279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/619 - 10533\/3095. Suppose 17*n = 6*n + 22. Let u be (-1 + n)*(21 + -3)\/(-9). Do q and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2713, -10645, -23885, -42451, -66361, -95633, -130285?\n\"Answer: -3*a**3 - 2636*a**2 - 3*a - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - 56. What is the remainder when 72 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -289\/355 - -1\/71. Let x = -205 - -1021\/5. Let w = x - -13\/10. Which is the third smallest value? (a) v (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - x - 128 = -r, -4*r + 4*x - 148 = 0. Let v = r + 66. What is the remainder when v is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 - ((-18 - (110 + -8)) + 18 - 15).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*r - 8)*(-568*r - 61*r - 1 + 99*r + 1).\nAnswer: -1060*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 24 = 2*a. Find d such that -d**a + 32 + 12*d**4 + 5*d - 55*d**2 - 4*d**3 + 11*d = 0.\nAnswer: -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*w = 627*w + 108072 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8668, 17345, 26036, 34747, 43484?\n\"Answer: j**3 + j**2 + 8667*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2179 divided by -4918.\nAnswer: 2179\/4918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1515 + -6?\nAnswer: 150d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19484 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7870 and -7.\nAnswer: 7863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -2*o - 11*o**2 + 0 - 1\/200*o**6 - 3\/20*o**4 + 0*o**3 - 7\/100*o**5. Determine q, given that t(q) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**2 - 1751*x - 3748. Give f(-248).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 574574.4 milligrams?\nAnswer: 574574400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 49. Suppose 4*h = -17*h + 21. Let f(s) = s. Let t(n) = h*d(n) - 4*f(n). Find the first derivative of t(c) wrt c.\nAnswer: 6*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t**(-1\/2)\/t)\/t*t)\/t*t)**(1\/5)*(t**(-1\/2))**38*((t\/(t**(-2)*t))**(-2\/33))**19 assuming t is positive.\nAnswer: t**(-7063\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*-1 - (16 + 616\/(-42))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 331 + -625. Let v = f - -295. Let q(p) be the second derivative of -p**4\/12 + p**3\/3 + p. What is q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*v, q + 7 - 1 = 3*v. Suppose -1 = v*h - 19. Suppose -2 = k - 2*k. What is the lowest common multiple of h and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48598 or -48605?\nAnswer: -48605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 5*g**2 - 4*g + 1. Suppose 0*p = -2*p - 4. Let f be (2 + -3 - 2) + p. Does 13 divide d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1125 + -774. Does 40 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330 and 165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = h + 3*n, 5*h - 68*n = -69*n + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -56. Let j be t\/(-9) + (-3)\/9. Solve j*l - 7 + 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {o: 5, z: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1405*x = 6581 + 27158 - 7044 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 942*h = 955*h - 188, 4*k = -h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {e: 4, z: 4, q: 3, x: 2, u: 3, o: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 63 = -5*j, -z - 4*j = z - 54. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39057 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 29*s**2 + 2*s + 18. Calculate m(-29).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-8))\/(5\/(-20)). Suppose 4*y + y = -2*a + 386, y + p*a - 85 = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 5*f + 6. Suppose 4*j - 42 = -f. Let o = 44 - 17. Calculate the greatest common divisor of o and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 689, 740, 887, 1178, 1661, 2384, 3395?\nAnswer: 4742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.5 + -5. Let u be 1 + -5 + (-768)\/(-78) + -6. Let g = -7\/2 + 4. Which is the second biggest value? (a) g (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*a + 7000 = -2*j, -3*j - 4*a + 21016 = 0. Suppose 2*r = 5*i + 3516, 5*r - 3*i - j = r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 144 = 26*b. Suppose 37*g - 555 - 1702 = 0. Calculate the remainder when g is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 - u**2 - 28*u - 104. Let j be r(-6). Let 400*d**5 + 4*d**3 + 28*d**2 - 42*d - j*d**4 + 38*d + 32*d**3 = 0. Calculate d.\nAnswer: -1\/4, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**6\/180 - h**3\/2 + 3*h**2. Let j(n) be the first derivative of y(n). Let a(l) = -3*l**2. Calculate j(a(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 222.14 and 2?\nAnswer: 220.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -35446?\nAnswer: 35444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 a factor of 5559111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - c**2 + c + 0*c. Let h(z) = 5*z**2 + 11*z. Let o(v) = 4*h(v) + 22*t(v). Let s(m) = -3*m**2. Give s(o(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -98164.1769 plus 34?\nAnswer: -98130.1769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -72\/103 (b) 4 (c) -0.0763 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pprggpgyyygpgyyngyp. What is prob of picking 1 p, 1 y, and 1 n?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g\/(g**(2\/7)*g))\/g))\/g)**(-17) assuming g is positive.\nAnswer: g**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-112))\/(2\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 211?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2))\/((-28)\/(-56)). Suppose -s = 5*o - 29, 1 = -o + d*s - 2. Solve -j + o = -0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/12 - -4\/3. Which is the third smallest value? (a) -0.03 (b) f (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -488?\nAnswer: 488.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let i = -4 + 4. Suppose i = -3*p - 9, w*p - 5*p = -5*g + 9. Let v(b) = -b**2 + 4. What is v(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*(s*s*s\/s**(-2\/25))\/s*s*s\/(s*s**12)*s*s\/((s\/((s\/(s**8*s))\/s))\/s) assuming s is positive.\nAnswer: s**(-398\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285094157.\nAnswer: 29, 9830833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -941 - 607. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/70 and 15\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (-35)\/(-2)*(-448)\/(-280).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**3 + 161*r**2 - r - 7*r**3 - 161*r**2.\nAnswer: -22*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/100 and -57\/110990.\nAnswer: 1109900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53079266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 28*y**2 + 263*y - 2271. Let o be r(9). Is 2363 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 - 246 - (-132 - 1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 73*p - 653. Let c be h(9). Sort c, 68, -4 in increasing order.\nAnswer: -4, c, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 11*r + 19. Suppose 12*v = 9*v - 39. Is k(v) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 981 = -5*s. Let a = s - 32. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 29762*a**3 - 8*a**2 - 10*a. Let i be s(5). Round i to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1180*m**3 + 28*m + 113736 wrt m.\nAnswer: 3540*m**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 - 2. Let b = 10\/47 + -3\/235. What is the closest to -0.1 in -5, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 53 = 92 + 5 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/12*-1*(-4)\/(-10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*-2)\/(sqrt(360)*-2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 10653 + 15447. List the prime factors of q.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 7:25 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/32 and -19\/444.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -4, -106, -0.167?\nAnswer: -0.167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-14)\/a*(a\/(a\/((a**14\/a)\/a*a)))\/a)\/(a\/a**(2\/7)*a*a*a*(a*((a**(-2\/3)*a)\/a)\/a)\/a*a*a) assuming a is positive.\nAnswer: a**(-127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 655592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -561024 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s**2 - 4*s + 7. Is j(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78935 take away -13.9?\nAnswer: -78921.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*i = 70*i + 80. Which is smaller: i or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -23*x + 18. Let r(s) = 115*s - 96. Determine -11*d(h) - 2*r(h).\nAnswer: 23*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 56 - 40. Let l = -290\/9 - k. What is the nearest to 0 in 5\/3, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 652 and 84434.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20136101 is divided by 86?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-4\/9))\/((d*d**(-2\/3))\/d))\/d**(-4))\/(d**33\/d**(1\/75)) assuming d is positive.\nAnswer: d**(-6047\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 6706.017cm in micrometers?\nAnswer: 67060170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16835 and 122360147?\nAnswer: 3367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.6 - -6.6. Let i = 0.184 + 3.816. What is the nearest to z in 5, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6 (base 15) to base 3.\nAnswer: -12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 33. Let t be s(6). Let h = t - 11. Let j = h - 89\/2. Is j not equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/14*(-8)\/(-36). Put -4, -19, -1\/5, u in decreasing order.\nAnswer: u, -1\/5, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*85\/(-5508)*(-6)\/2?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 942 - 937. Which is the closest to -0.2? (a) -41 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -148, -14, 49 in descending order.\nAnswer: 49, -2, -4, -14, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65\/2 + 32. Let s = -245 - -2203\/9. Which is the nearest to d? (a) -5 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 8*m + 10. Suppose 19 + 2 = -3*f. What is the tens digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 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: Which is the second smallest value? (a) -13 (b) -3 (c) 2\/3 (d) 9 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 3*w**2 - 4*w - 5. Calculate b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 30. Suppose -q - 16 = -h, -q - 36 = -2*h - 0*h. Let l = h - r. Solve -5*f + 3 = 3*j + l, -5*f = j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 = -5*v + 10, v + 4*j - 18 = 0. Which is the smallest value? (a) v (b) 4 (c) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -12*i**2 + 1\/420*i**7 - 5\/24*i**4 + 0*i + 1\/10*i**5 + 0 - 1\/40*i**6 + 1\/4*i**3. Factor w(g).\nAnswer: (g - 3)*(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262 + -383. Let p = 59 - a. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 426\/5 (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 104802?\nAnswer: 209604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 55*d**3 + 5710*d**2 - 12700*d + 2120 = 0?\nAnswer: -106, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 449141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djcj when four letters picked without replacement from tccjajjjcduc?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-22) + 795\/165. Suppose -5*m + 2*n + 130 = 0, -5*n - 87 = -b*m + m. Solve -45 = 5*r + 5*v, -4*r + m = -6*r - 4*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.6. Let m = -0.002 - 0.298. What is the closest to -1 in 1, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109722 by -54861.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9.1, 1\/10, 4, 1\/69?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*j + 77 = 117*j. Sort -5, 3, 0, j.\nAnswer: -5, 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684\/210295 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385559759 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/7)*y)\/y)\/(y**(-9)\/y) assuming y is positive.\nAnswer: y**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 212, 1365, 3272, 5921, 9300, 13397, 18200?\n\"Answer: -2*z**3 + 389*z**2 - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -209*n - 8178. What is f(-35)?\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 7 = 5*f, 135*v = 138*v + 3*f + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3118433*-2.2\nAnswer: 6860552.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 2153 = -9*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 1)*(-r - 2*r + r + (5*r + 0*r - 3*r)*(-3 + 3 - 1))*(3*r - 5*r + 14*r**2 - 7*r**2) to the form m + j*r**2 + k*r + s*r**3 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120022 (base 3) in base 16?\nAnswer: d01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - y. Let z(u) = 4*u**2 - 4*u + 3. Let d(q) = -3*s(q) - z(q). What is the units digit of d(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236023*h*v**2 - 591*h*v + 87*h - 1507*v**2 - 2442*v wrt v?\nAnswer: 472046*h - 3014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*x + 88, 73*x - 38*x = 20*x + 3*d - 486 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q = 0. Let i(c) be the third derivative of 7*c**2 - 1\/24*c**4 + 1\/120*c**6 + 0 + 0*c + 4\/3*c**3 - 1\/60*c**5. Determine i(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*o + 6*x, 33 - 19 = 2*x. Let d(w) = -3*w**2 - 10*w + 6. Let z(b) = 4*b**2 + 10*b - 6. Let u(f) = -5*d(f) - 4*z(f). Calculate u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s - 6674 = -3*k, 0 = 4*s + k - 5342. List the prime factors of s.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) 7254 (c) 5 (d) -3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 1698*w + 508*w + 551*w + 542*w as t*w + b*w**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/6 - s**2\/2 - 2*s\/3 + 2 = 0. Calculate s.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**3 + 160*v + v**3 + 96*v - 2.\nAnswer: -18*v**3 + 256*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4\/17 - 9408*j**3 - 1279390*j**2\/17 - 2398800*j\/17 = 0.\nAnswer: -79960, -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)*2)\/sqrt(5) - sqrt(72)*4.\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(8)\/(-6*sqrt(4)) - (sqrt(128)*1)**2.\nAnswer: -128 + 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g + 9*g - 32 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 3*z**2 - 4*z + 5. Let b(d) = 2*d**3 - 3*d**2 - 3*d + 4. Determine -4*b(g) + 3*u(g).\nAnswer: -2*g**3 + 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-12)\/720*-2.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*1427875.84\nAnswer: -713937.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 25 + 65 = 0. Let n(w) = w**3 - 7*w**2 - 6*w + 4. Let r be n(p). Calculate the common denominator of -59\/2 and 212\/r*10\/(-44).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*d**2 + 5 - 188*d**2 - 5.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 402569?\nAnswer: 2012845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -79?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3045 != -3045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*x - 2. Let g be (-4 + x\/(-1))*-6. What is the highest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -43?\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53019\/365788 - -1\/4813. Let s be ((-24)\/32)\/(114\/(-16)). Let b = s - n. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + s + 95. Suppose j + 3*j = -148. Let u = s - j. What is the remainder when 52 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by -16?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + 3 - 4\/(-1). Let b be (9 + -8)\/(x\/6). Solve -o - 10 = -b*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -5. Let t(a) = 2*a**3 + 9*a**2 + 5*a - 9. Let m(k) = 5*k**3 + 20*k**2 + 11*k - 20. Let r(u) = -4*m(u) + 9*t(u). Is r(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 14\/(-6))*(-9)\/15. Which is the third biggest value? (a) x (b) 9 (c) 1\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96786.15 times -2\nAnswer: 193572.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*j - 6 - 20 = 0, z + j = 23. Let r(d) = -2*d + 13. Let c be r(4). Suppose -35 = -9*i + 4*i. Solve -z = -c*f - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/30 - 3*a**2. Let h(c) = -2*c**2 + 1 - 1. What is w(h(f))?\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*a**3 + 667*a**3 - 2736*a**3 + 251*a**3.\nAnswer: -2385*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*k - 140, 2*g + 3*k = -0*k + 70. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*f = 76, 0 = -5*x - f + 22 + 150. Let b be (-4)\/5*(-25)\/x. Let u be 1 + -1 + 3\/(-3). What is the nearest to 1 in u, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2 + 3 = 5*u, 4*u = 3*q + 3. Let h = -1 - q. Suppose 30 = 4*g + g. What is the lowest common multiple of g and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-24))\/((-1)\/(-3))*3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4628.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 527455 in -140, 2\/9, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10678 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Let j(m) = 8. Let k(l) = -6*c(l) + j(l). Let d be ((-72)\/42)\/((-2)\/7). Let u = d - 3. Let y(h) = 5*h - 2. What is u*k(g) + 4*y(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/35))\/i*i)**29 assuming i is positive.\nAnswer: i**(957\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/12 + w**3\/6 + w**2\/2 - 6*w. Suppose -4*y + 22 = -5*y + 4*b, 4*y + 28 = 4*b. Calculate v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 56 = -3*f, f = 2*i + i + 152. Let g = i - -270. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20696, 4, -30, -7.\nAnswer: -20696, -30, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81.74381 tonnes?\nAnswer: 81743810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d - 2. Let a(y) = 4*y + 2. Let w = -328 + 331. What is w*a(v) + 2*o(v)?\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*2.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2\/11 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -30, -26, -22, -18, -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12801.021us to minutes.\nAnswer: 0.00021335035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 351?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**11)\/(w\/w**(-22)*w)*w**(1\/36)*w**(1\/2))**(-35) assuming w is positive.\nAnswer: w**(14455\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31969.1 - -0.05?\nAnswer: -31969.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 5*k**2 - 8*k - 8. Let v be x(7). Let w be 4\/(-10) - v\/(-10). Solve -w = -3*c + 4*s, -2*c - c = -3*s - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800302 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15623862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l + 25*l - 24*l as q*l + h and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 27990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from bbuuu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/8))**(11\/3)*i**(-2)\/(i\/(i**(-12)\/i)*i) assuming i is positive.\nAnswer: i**(-397\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, y: 1, g: 1, m: 1, f: 1}. What is prob of picking 1 y, 1 g, 1 m, and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 322680 rounded to the nearest one thousand?\nAnswer: 323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6707181*z - 6706562*z = -3095 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 - 37*h + 3. Let v(k) = 9*k**2 + 73*k - 5. Let c(m) = -5*n(m) - 3*v(m). Calculate the least common multiple of c(-16) and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (747\/(-166))\/(((-27)\/30)\/(30\/(-25)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:38 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggxgyxyggxyxggxvxg. What is prob of picking 1 y, 1 g, and 1 x?\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 22*h**2 + 45*h**2 - 32*h**2 + 1.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**7\/21 + 8*u**6\/3 - u**4\/6 - 239*u**2\/2 - 133*u - 1. What is the third derivative of q(a) wrt a?\nAnswer: -120*a**2 + 1920*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, -3\/5, 14\/9, 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4 + (sqrt(320)*-1 - sqrt(320)))**2 - (sqrt(320)*1*-4)**2) + 4.\nAnswer: -3817 + 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + 4 + -2.\nAnswer: 2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60 - 47 + 106 - 33*m**3 + 2*m**2)*(m - 4*m - 3*m) to the form a + u*m**3 + g*m + q*m**2 + y*m**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 2*c**2 + c + 3. Let u be 31\/2 + 11\/22. Suppose -5*p = -5*a - 11 - 4, -u = -3*a - 2*p. Let x be s(a). Solve 5 = h, -12 - 17 = -m - x*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15))**(2\/23) assuming x is positive.\nAnswer: x**(4\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.53 + 17. Let k = o + 0.43. Which is the third biggest value? (a) 16 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1017 - -694. Let o = g + 1618\/5. Factor 0 + o*q**2 + 9\/5*q.\nAnswer: 3*q*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77? (a) 0.1 (b) -1\/2 (c) 2\/11 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*f + 3*v + 336, 2*f - 168 = -5*v. Let g = f + 353. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96535758 divided by -45237?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(2\/9))\/(i\/(i**(-2\/7)*i)))\/(i\/((i**(-1\/4)*i)\/i)*((i\/(i*i\/(i*i\/i**5)))\/i)\/i) assuming i is positive.\nAnswer: i**(1573\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/7 or -160.941?\nAnswer: -160.941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 3 + w + w. Suppose -y + 12 = y. Let d(p) = 3 - 3*p + 4*p + 2 + p. Give y*d(f) + 10*k(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, -1, 3\/5, -2, 4, -1\/7, 2\/3415?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-14 - 1) + (-283 - -335)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2*-1*-5 + ((sqrt(16) + -2*sqrt(16))*-6 - sqrt(16))\/sqrt(8))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 525 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -8, 15, 1.9, -7, -5\/4 in decreasing order.\nAnswer: 15, 1.9, -5\/4, -4, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*o + 202, -2*d + 44 = -d + 2*o. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 56 = -194. Find the second derivative of 5*s - j*s**5 + 15*s + 67*s**5 wrt s.\nAnswer: 880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 6:59 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 241 + -246. Which is the closest to -5\/12? (a) -1 (b) 0.2 (c) 2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 677 - 689 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -21\/8, -2, 3\/5, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 1967928?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/119 (b) -2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m**2 - 3*m - 11. Let a(f) = f + 1. Let y(h) = -3*a(h) - k(h). Differentiate y(z) with respect to z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19673 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -28. Suppose -2*j - 1 = -z - t, -z - 1 = 2*j. Let r = -2 + 5. Solve -r*l = 9 - j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 110, 204, 326, 470?\nAnswer: 630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -626*x**4 - 2*x**2 - 138*x wrt x.\nAnswer: -7512*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 2*i + 228. Give o(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 3. Let z be (2\/2*-1)\/1. Let x = 6 + -7. Let r = z + x. What is g(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 35. Calculate the lowest common multiple of v and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 34*m**2 - 191*m + 56. Let u be n(27). Let a(s) be the first derivative of 0*s + 0*s**u + 7\/3*s**3 - 9. Let g(v) = 3*v**2. Calculate a(g(b)).\nAnswer: 63*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36667436 to the power of 1\/2, to the nearest integer?\nAnswer: 6055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*y**3 + 36*y**3 - y + 12 - 5*y**2 - 14*y**3 + 3*y**2 to the form w*y + j*y**2 + c + d*y**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxgp. What is prob of sequence qg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -77748991?\nAnswer: -388744955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8828443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -19.8. Which is the closest to z? (a) 2 (b) 10 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 2*n - 14. Let f(s) = -s**3 + s + 15. Determine -6*f(p) - 4*w(p).\nAnswer: -2*p**3 + 2*p - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -12 - -7 - -2 - (-224)\/78. Which is the second biggest value? (a) x (b) -1\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -609*w + 99*w**2 - 42*w**2 + 454*w**2 - 84*w**2 + 231*w**2 wrt w?\nAnswer: 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 - -115. Let w be (-6*u\/(-120))\/((-12)\/16). Let i = -0.8 - 6.2. What is the second smallest value in w, -5, i, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 151*q**2 + 207*q + 1017. What is r(74)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252534573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0537? (a) -0.3 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-227 - 156 + 325)*(-31*u**3 + 32*u**3 + u**5 - 2*u**5).\nAnswer: 58*u**5 - 58*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1 - 2) + 1)\/(-2). Let s be -3*2\/3 - -1. Let b be (-1)\/((-3 - s)\/2). Put -2, f, b in ascending order.\nAnswer: -2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + m. Let x(p) = -2*p**2 - 5*p. Suppose -3*u + 4*u + 5 = 0. Give u*h(j) - x(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -27 + (-11)\/((-66)\/36). Let t be 9 + s\/(-5 + -2). Solve -3*a = 5*r + 28, 4*a - 33 = 5*r - t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 50.9?\nAnswer: -661.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 831 + 1253 + 76. What is the highest common factor of 350 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - n**2 + n**2 + 2*n**2 - 538*n**3 + 570*n**3.\nAnswer: 32*n**3 + 2*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**9*p**(3\/8)*p**(-9)\/(p\/(p\/(p\/(p**(6\/13)*p*p)))))**(-21) assuming p is positive.\nAnswer: p**(30933\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.3 (b) 3\/2 (c) 2.3 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2412, -3405, -6092, -11319, -19932?\n\"Answer: -141*a**3 - a**2 - 3*a - 2267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -461115 divided by -10247\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 > 0.044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11160 divided by 310.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222 a factor of 921403529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*y**2)*(477*y + 136*y - 36*y) to the form o*y**2 + m*y**3 + z + f*y and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -138.21689, -3, 4?\nAnswer: -138.21689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - 16*d**2 - 43*d + 347. Let x be w(8). Solve -h - 12 = -4*k, -4*k = -4*h - x - 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 16*w + 5 + 11 + 0 in the form h*w + c and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**5\/20 + 13*s**4\/12 - 9*s**3\/2 + 51*s**2\/2 - 2*s + 75. Let o be w(-15). Let c(n) = -4*n + 19. What is c(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142 - -1\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27 and 235964543.96.\nAnswer: 235964516.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-21\/5)*m**(-1\/4)*m)\/(m\/(m**(-2\/9)\/m*m*m)*m*((m*m**(1\/26))\/m)\/m))**(-39) assuming m is positive.\nAnswer: m**(8683\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0 + 1\/30*k**3 + 28*k + 1\/120*k**4 - 1\/100*k**5 - 1\/300*k**6 + 0*k**2. Factor u(s).\nAnswer: -s*(s - 1)*(s + 1)*(s + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278215 is divided by 1039.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4088 = w - 47. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 625.26 + -570.6. Let g = p + -0.66. Let v = -52.97 + g. What is v rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2987713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*u + 1)*(4*u - 3*u - 3*u) + u + 2*u**2 - u - 58*u**2 - 55*u**2 + 22*u**2 as z*u**2 + h + k*u and give z.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 1, c: 2, q: 4}. What is prob of sequence cjqp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 10*u + 6. Give z(14).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4315541 days to microseconds.\nAnswer: 37286274240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 2*n**2 + n. Let r be c(2). Let u be 2\/(r + 6\/(-4)). Is 276\/8 - (-2)\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2590930*b**4 + 6505654*b**2.\nAnswer: -62182320*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316239.\nAnswer: 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 93, 113, 119, 105, 65?\n\"Answer: -j**3 - j**2 + 30*j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-54) + 3\/((-27)\/(-236)). Calculate the highest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/(-45))\/((-30)\/25 + (-13)\/(-13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167424015.\nAnswer: 3, 5, 11, 23, 157, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 75 = 4*g. What is the lowest common multiple of g and (2\/(-10))\/((-3)\/5) - 49616\/(-336)?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14967 divided by 26.\nAnswer: 14967\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/5))**(8\/7)*p**(1\/4)\/(p*p*p\/p**0)*(p*p\/(p*p**1))**49*(p**0)**45 assuming p is positive.\nAnswer: p**(-289\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 937757 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/22057 and 62\/81.\nAnswer: 1786617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 4)*(0*b + 4*b + 9*b)*(1 + 0 + 0) + (-1 + 1 + 2*b)*(2 + 4 - 4) to v*b + n and give v.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.1 - 37.3. Put 33, l, 0, 0.2, -0.5 in descending order.\nAnswer: 33, 0.2, 0, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 3*u**2 + 1\/2*u**4 + 0 + 0*u**3 + u - 1\/20*u**5. Is 3 a factor of h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -18*x + 17*x, -4*x + 18 = -5*t. Let l(w) = -x*w**2 + 4*w**2 - 109 + 215 - 106. Let p(c) = -17*c**2 + 4*c**2 - 15*c**2. Determine p(l(a)).\nAnswer: -112*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (25 - 1)) + (16 - (-2 + 7))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -381829 by -699.\nAnswer: 381829\/699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -5, 11, 4 in descending order.\nAnswer: 11, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q + 43*q = 90*q, 2*p = -3*q - 40 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199848 and 2244.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48859, -97846, -146831, -195814, -244795?\nAnswer: -293774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - 1. Let n = -15.38 - -0.38. Let y = n - m. Which is the biggest value? (a) 0.5 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.50762 less than -0.4?\nAnswer: 6.10762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4\/5 - 48*l**3\/5 - 27*l**2\/5 + 54*l = 0 for l.\nAnswer: -15, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 19*f**2 + 42*f - 3. Calculate x(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 18 (b) 2\/5 (c) 9 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 145.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 17 + 319366*y**3 + 92*y - 319364*y**3 + y**2 to the form n*y + x + h*y**3 + b*y**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*z - z - 52 = 0, 3*f = 2*z + 151. Suppose -4*h - f = -q, 10*q + 2*h - 211 = 5*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**9\/x*x*x*x)**(2\/89) assuming x is positive.\nAnswer: x**(22\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20649*w**3 + 20642*w**3 - 82584*w**3 + 20645*w**3 + 20650*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 13 = -553*w + 548*w, 49 = 5*w - 4*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 349343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 50\/2040*300.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80598 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r + 308 = 0. Let c be 0 + 3 + (0 + 435)\/(-3). Calculate the common denominator of -11\/51 and (40\/180)\/(-1 + r\/c).\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 - 1. Let m = o - -43.1. Let c = 50 - m. Is 0 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1393*c - 18195. Give g(-13).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 457, 1938, 4411, 7876, 12333?\n\"Answer: 496*z**2 - 7*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160335221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:51 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -292\/2613?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/4794 and -59\/14434.\nAnswer: 34598298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20658 and 2904.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-48))\/((-435)\/51678*27)\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 - l + 1. Let b(r) = r**3 - 2*r**2 + 1. Let s(v) = -v**2 + 4*v - 5. Let z be s(2). Let f = 3 + -3. Let i = f + z. What is i*b(y) + 2*j(y)?\nAnswer: y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 44*l**2 + 45*l - 60. Calculate q(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/4 of a millennium?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + sqrt(832) + sqrt(832)*-3 + 0.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 19 = -g - g, -q + 15 = -5*g. Let s = -1.84 - -1.44. Which is the closest to -0.1? (a) 1\/4 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**2 - 4*r - 6. Let b(w) = -13*w**2 + 8*w + 11. Let n(u) = 2*b(u) + 5*z(u). Find k, given that n(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*j - 131 = 0, 170 = 6*i - 2*i + 2*j. Suppose 4*d + 336 = 4*r, r + 18 = -5*d + 60. Calculate the greatest common divisor of i and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8436, 3599, -9592, -35313, -77740, -141049?\nAnswer: -229416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.0267\nAnswer: 0.01335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjll when four letters picked without replacement from jjjjjjjljjjjjljjjjj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 7. Let w(p) = -p**2 + p + 4. Let j be w(0). Suppose j*i = i. Put 1, i, u in ascending order.\nAnswer: u, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.025 and 67024.\nAnswer: 67022.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + -10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*k + 741 - 93, 3*m + 4*k = 514. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -942 + 4538. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 0.1 (c) -0.045463667\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 0.3 (c) -3 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*f + 17. Suppose 0 = f*a - 2 - 8. Solve 2*k = v - a - 0, -1 = v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5 + x**4 + 105*x**3 + 571*x**2 + 1136*x + 780 = 0 for x.\nAnswer: -5, -3, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-19)\/a)\/(a**22*a))\/((a*a\/(a\/(a\/(a**(-21)\/a))))\/a**(-8)))**(1\/7) assuming a is positive.\nAnswer: a**(-75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/102)\/(2420\/4356).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 5.1. What is the nearest to -2 in 0, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 42, 157\/15, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 42\/4*156\/182?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-6)\/27*-3. Find the second derivative of k*g**3 - 8*g**3 + 0*g**3 - 6*g wrt g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -0.1, 3\/7, -1\/24, -50, -3?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 73*n**2 + 8*n + 61. Let q be h(-12). Let d = -2167 + q. Round d to the nearest 100.\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*h = -h - 417, 4*r = 5*h + 831. Suppose -3*z + 308 = -5*d, 5*z - 256 = -5*d + r. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8202 at most as big as -8202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*q*s*v + 82*q*s + 541*q*v**3 - 4389*s*v**3 - 21*s*v**2 - 6*s*v + 5*v**3 wrt q?\nAnswer: 46*s*v + 82*s + 541*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36018, -72207, -108396, -144585?\n\"Answer: -36189*z + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*g - 2*t + 8, -17*g - 2*t = -18*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -2*h**6\/27 - h**5\/15 + 2*h**4\/27 + 2*h - 3. Determine p so that t(p) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22446*j**2 + 1032*j + 5248694 wrt j?\nAnswer: -44892*j + 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3051\/(-565) - (-26)\/(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46471927 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -32. Let w = 2.26 + -0.26. Let u = -3.7 - 1.3. Which is the nearest to s? (a) u (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:39 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23923565 is divided by 4784710?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 3?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 11:51 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50542979 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-18)*(5289\/1025*25)\/1.\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -37*n + 39*n. Suppose 0 = 63*t - 66*t + n. Which is smaller: t or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -467 greater than -467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -229361 and 22?\nAnswer: -5045942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(5*d + 17*d + 5*d) in the form t*d + q and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143405095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -7052 (b) -1 (c) -5\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*z, 3*z - 7 = p - 2*z. Calculate the common denominator of (-2)\/(-145)*395\/(-4) and p - (-30)\/(-44) - 1.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12000)\/(-330))\/(-20)*(-715)\/130.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-2 - 2) + 5). Let w be 120\/50 - (p - (-6)\/(-10)). Let c(r) = 44*r**w - 86*r**2 + 49*r**2. Let x(f) = -f**2. Give c(x(z)).\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20098 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 103, 180, 245, 292, 315, 308?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 638632.8 millennia in decades?\nAnswer: 63863280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27398854 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 41 - ((-12)\/1)\/4. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) 0.4 (c) 4 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004511314 to five dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 6*f**2 + 6*f + 3. Let l be m(-7). Let k be (l + -10)\/(2\/1). Solve 3*w = 5*y + 20, k = -4*w + 2*w - 5*y + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*t = 0, 4*b - t = 2*t + 39. Is (3272\/b)\/((-2)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/6208137 and 35\/59982.\nAnswer: 12416274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in -874.2, 0.08, -1\/4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggtgggtttttttttgt. What is prob of sequence gg?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.561 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -44, 1\/4, 1\/9, 11, 0.3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40979, -40981, -40983, -40985, -40987?\n\"Answer: -2*v - 40977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/33 (b) -2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54363949?\nAnswer: 54363949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23 and -2635?\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7}. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 4, k: 1, c: 2, u: 2}. What is prob of sequence auca?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*a + 5*u - 41 = -100*a, 5*u - 51 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-880)\/160*(-2)\/(-7))\/(30\/(-1050)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4373 is divided by 1732.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 1. Let o(r) = r + 1. What is 5*f(j) - 6*o(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c + 3. Calculate the common denominator of 19\/4 and 107\/(-10) - c\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331857304.53024+0.4\nAnswer: -331857304.13024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2179.2995 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 2*k + 15. Give m(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 3. Let z be (102\/(-15))\/2 + (-20)\/(-50). Let v be r(z). Solve 2*h - 2 = -4*q - 0, -2*h + 5*q + 11 = v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591*l**2 + 269*l**2 + 314*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 293 = -3*w, 73 = 2*c - c + 3*w. Calculate the remainder when c is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 10:29 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1220 or -2\/5?\nAnswer: 1220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*c + 172 - 575 = 0. Suppose 15*p = c*p + 2178. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-10 + 8)\/(-8 + 9). Solve 5 = -5*z - 4*o + 20, 5*z + o = p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 27 and -19506315684.\nAnswer: -19506315657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 26 = -2*k, -12271*c - k - 1 = -12270*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-1\/7)\/i))\/i)**(-5\/4)*(i*((i*i**(-10))\/i)\/i)\/i**(1\/5) assuming i is positive.\nAnswer: i**(-407\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v**3 + 2*v + 1. Let d be p(-1). Suppose -18 = -d*k - 0. Suppose -k*o = -4*i + 296, -2*i - 2*o + 134 = -7*o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryyryyrryyyyyy. Give prob of sequence yyyy.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 12295281.\nAnswer: 209019777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9343.6 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149272 is divided by 5902?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 31 - 34 + 85)*(-2*b + 5*b - 2*b) as l + v*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 1 + 0*c + 4*c - 2*c - 2*c**2. Let b = -17 - -25. Calculate the remainder when b is divided by r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2314.\nAnswer: 1\/1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 19 = 2*z + z, -2*z = -10. Let b(f) = -f + 2*f**u - 4 - 3 + f**3 + 5. Determine b(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 449*i + 397*i)*(-4*i - 2*i + 5*i).\nAnswer: 52*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*t + 435*t + 141*t as r + w*t and give w.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003744 rounded to seven decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-2)*(-111 - -5).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -28. Suppose j + 14 = 3*g. Calculate the remainder when g is divided by (0 - 2) + 14 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 47. Suppose d + z = -13, -6*d - 57 = -d + 3*z. Let t be (14*(-3)\/(-18))\/((-3)\/d). Calculate the greatest common factor of t and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5 + 238*d**4 + 9943*d**3 - 531386*d**2 + 500356*d + 1041448 = 0. What is d?\nAnswer: -134, -1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = -46. Suppose 5*a - 4*a = r. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 105. Suppose -v*j = 3*o - 6, -3*o = 3*j + 2*o - 2. Suppose j*b = b - 15, 2*q - 19 = -5*b. Solve -2*w - q = w + 4*s, w - 10 = 3*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(-2)*(-18)\/72.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43212 (base 9) to base 8.\nAnswer: 67674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59465, 59459, 59453, 59447?\nAnswer: 59441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027258 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 649, 2492, 5565, 9868?\n\"Answer: 615*a**2 - 2*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117820*h - 38 + 4026*h - 10116*h + 38.\nAnswer: -123910*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 25*b**2 - 91*b - 1151. What is the tens digit of k(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiixxixkiiixkkii. What is prob of picking 2 x?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3604 divide 148007388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*j + 4 - 53, 0 = -4*a + 2*j - 14. Let m(w) = 99*w + 52. Let x(g) = -25*g - 13. Let r(f) = 4*m(f) + 18*x(f). Is r(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 7915760*v - 7832407047200.\nAnswer: -2*(v + 1978940)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36269641 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -31, 9, 85, 209, 393?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 2)*(2*k**2 + k**2 - 5*k**2) + 0*k**2 - 2*k**2 + 5*k**2)*(8*k**2 + 6 + 1 - 9).\nAnswer: 40*k**4 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 12169042 to the nearest 10000.\nAnswer: 12170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -382 - -852. What is k rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -656, -2702, -6120, -10916, -17096?\nAnswer: -24666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244*h**4 + 2*h**2 + 2*h - 6*h**2 + 0*h**2 - 240*h**4 to c*h**2 + t + a*h**4 + o*h + m*h**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 0 - 1 - 4. Let p be t(-7). Find the third derivative of z**2 + 0*z**6 - z**6 + p*z**6 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 235\/4 - 59. Let s(y) = -6000*y - 35996. Let o be s(-6). Which is the closest to i? (a) 0.2 (b) 21\/8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = g + 15, 40 = -7*g + 3*g + 4*u. Sort 2, -3, g in decreasing order.\nAnswer: 2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 21514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155 - 113 - 175)*((2 - 2 + 3)*(-q - q + q) + 0*q + 3*q - 5*q - 3*q + q + 0*q).\nAnswer: 3101*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54 and 0.0899263.\nAnswer: -53.9100737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3834 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -149 and 2.\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4)**(-47)*t*t**12\/t*t**14)**5 assuming t is positive.\nAnswer: t**(-810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 16. Which is the nearest to -0.4? (a) h (b) -2\/17 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 753.01 + 7674797.\nAnswer: 7675550.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 10) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8*33\/55)\/(6\/(-20)). Put w, -1, -5, -4 in descending order.\nAnswer: w, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8317, 32462, 72707, 129052?\n\"Answer: 8050*g**2 - 5*g + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639218213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 143516845.8 rounded to the nearest 1000?\nAnswer: 143517000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 864806 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 456264784 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -871 + 1255. Let s = 75 - 80. Let o be 6\/(5\/s)*-8. Calculate the greatest common factor of b and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -15*n**2. Let f(w) = -3734750*w. Calculate f(m(t)).\nAnswer: 56021250*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349335.\nAnswer: 3, 5, 7, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2\/5 + 6*j + 897\/5 = 0. Calculate j.\nAnswer: -13, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w. Let p(q) = 5*q + 1. Calculate -4*c(o) - p(o).\nAnswer: 11*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423376.\nAnswer: 2, 47, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y. Let b(o) = -40*o**2 - 8*o + 3. Let f(m) = -27*m**2 - 5*m + 2. Let t(r) = -5*b(r) + 8*f(r). What is a(t(j))?\nAnswer: -32*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(448)*-1 - ((sqrt(448) - (sqrt(448) + -3)) + -3))**2*6 + 2.\nAnswer: 288*sqrt(7) + 2744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.4. Let p = 697424 + -697445. Put g, p, 2, 1\/6 in decreasing order.\nAnswer: 2, 1\/6, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 3 - (-40 + 0). Suppose -5*p + 65 = u + 20, -2*p + 4*u + k = 0. What is the greatest common factor of 20 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2096 and 544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 4. Let w be l(3). Let b(r) = r. Let n be b(-5). Let g = w - n. Calculate the greatest common divisor of 35 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h - 97. What is g(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 7. Calculate p(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0*r + 5 + r)*(-729 - 739 + 365) to w + q*r and give q.\nAnswer: -1103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 9*x**2 + 7*x + 12. Let m(w) = -w**3 + w**2 - 2*w. Let p be m(2). Let z be n(p). Let l be 4\/z + (-28)\/(-10). Solve 0 = -l*h + 6 - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 8 + -3 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 7*f + 4*f + 8, 0 = -2*c - 2*f + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2 - 12. Let l(d) = 2*d**3 - 7*d**2 - 2*d - 9. Let f(t) = 5*t**3 - 13*t**2 - 4*t - 18. Let p(i) = -3*f(i) + 7*l(i). Is p(h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4 (c) 1 (d) -3 (e) 2 (f) 39212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 - -87. Suppose -u + 42 = 4*l - 7, m*l = -2*u + 46. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73683.87mg in tonnes?\nAnswer: 0.00007368387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/5))**(-13)\/(w**(-6))**(-1\/19))**33 assuming w is positive.\nAnswer: w**(7161\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11828877 to the power of 1\/2, to the nearest integer?\nAnswer: 3439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.82023 milligrams to grams.\nAnswer: 0.02682023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*h = 6*h - 168 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 31*o**2 - 33*o + 96. Give l(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 739226708 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2875*q + 2818*q + 2052. Calculate the remainder when 944 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2 + 2)*(-1 - 2 - 2)*(2 - 2 + 4).\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 4, -2, 37, -3 in increasing order.\nAnswer: -3, -2, 4, 37, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270561?\nAnswer: 3, 90187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Suppose 690 = 71*n + 193. Calculate the remainder when n is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1372.98418 - -1373. Round d to 4 decimal places.\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k - 206. Let a be s(-26). Determine t, given that -4*t**2 - 173 + a + 20*t + 77 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 1, s: 5, j: 6}. What is prob of sequence vsjj?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200220199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4*u + 11. Suppose 0 = 4*k - 16, 7*k - 5 = 3*t + 2*k. Suppose 4*q - t = 3*q. Let d(j) = 1. Let s(b) = q*p(b) - 35*d(b). Solve s(i) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 163 - 106 = -9*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b**4 - 32307*b**3 - 45705*b**2 - 8058*b + 5376 = 0. Calculate b.\nAnswer: -896, -1, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -454, -212, 30, 272, 514?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 1379205?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156541 or -156513?\nAnswer: -156513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -261220 plus -21.7?\nAnswer: -261241.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**6\/360 - m**5\/30 + m**4\/8 - 2*m**2. Let f(p) be the second derivative of x(p). Let n = 2 + -5. Calculate f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5\/2 + 2421*v**4\/2 - 44085*v**3 + 187923*v**2 + 9009261*v\/2 + 8542821\/2 = 0. What is v?\nAnswer: -7, -1, 23, 769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 391622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 11*f**2 + 9*f - 9. Calculate a(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 11*w = 5*j + 25, 3*j + 15 = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 147 = q + 5*r, 5*q + r = 787. Let p(y) = 0*y - 159 + q + y. Let f be p(-1). Is 0 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74983 is divided by 951?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 5*i**4\/4 + i**3\/3 + 3*i**2\/2 + 3*i - 3. Is 33 a factor of j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or -8\/21?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3002 - -3041. Let p be 2\/(-4) - (-158)\/4. Is p greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13840, -13803, -13744, -13663, -13560?\n\"Answer: 11*c**2 + 4*c - 13855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0)**16*a**7*a*a*(((a\/a**(-9))\/a)\/a)\/a*a*a)**(2\/3) assuming a is positive.\nAnswer: a**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 14*b**2 - 4*b - 11. Calculate v(-14).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/48 + -1\/16. Let w = 1.855 + 0.145. Let x = 107.9 - 116.9. Which is the nearest to l? (a) x (b) -3\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 240\/(-9))\/((-56)\/11678). Let p = n - -5976. What is the common denominator of -101\/28 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109620 by 210.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146276.2497 + 35.2497. Let p = -146241.0599995 - m. Let j = 0.06 + p. What is j rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18730 divided by 3524\nAnswer: 9365\/1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c*c*c**(-14))))\/(c**(-2\/7)*c))\/(c**4\/c**(4\/5)) assuming c is positive.\nAnswer: c**(-592\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -1)\/((-153)\/357*28\/(-48))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3 + 6 = -2*g, 4*g - 1137*i = -1135*i - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 60.84339 tonnes?\nAnswer: 60843390000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259073082?\nAnswer: 2, 3, 14392949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 - 186 - (-5 + (2 - (-2 - -3)) + 2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 530\/(-45) - (-96)\/(-432)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 - -3)\/(-1))\/(-1). Suppose 0*h + 5*h - 25 = w. Let b(j) = 5 - h - 2*j. Let o(d) = 2*d**2. Give b(o(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -168725, -168726, -168727?\n\"Answer: -y - 168724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 5*d**2 - 7*d - 2. Let q be c(-7). Let v = -201\/4 - q. Let x be 29\/35 + (-4)\/10. Put v, x, -1\/9 in ascending order.\nAnswer: -1\/9, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 1362*m + 145512.\nAnswer: 3*(m - 282)*(m - 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-3)*11\/(1155\/(-14))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 2*z - 30, -24*k - 36 = -26*k - 4*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 266934959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164*l - 164*l + 126*l**2)*(l + 0*l + l).\nAnswer: 252*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2159 by 22432.\nAnswer: 2159\/22432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4302039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -3*w + 0*w**3 + 0*w**2 - 1 - 3\/4*w**4. Find the first derivative of t(f) wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvhvvhvvvhvvv?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/5, 32, -2, 1 in ascending order.\nAnswer: -2, 1, 24\/5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-36)\/(-16))\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -341674 - -341639.99824. Let t = 34 + g. What is t rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (8 + -1)) + (-504)\/(-21). Let i be (-9 - 294\/(-36))*(-3)\/c. Suppose 0*w - i*w**5 + 0 + 1\/8*w**3 + 0*w**4 + 0*w**2 = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 29 = 5. Let m = r - 24. Let f(x) = x**2 - 5. Determine f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/7, -6, -0.5.\nAnswer: -6, -0.5, 22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 - 109 = 69*t. Calculate the remainder when 29 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + o - 19. Let j be l(8). Let g(c) = -180*c**2 - 2 + 4 + j*c**2 - 3. Let t(i) = 2*i**3 - 2*i**2 + 2*i + 3. Calculate 3*g(s) + t(s).\nAnswer: 2*s**3 + s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Let b be ((2 - q)\/(-3))\/(-1). Suppose 3*a + m - 42445 + 12442 = b, 5*a - 50015 = -5*m. What is a rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n**3 - 5*n**3 - 6 - 320*n**5 + 9*n + 6*n**2 + 323*n**5 = 0. What is n?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 - 0.28. Let g = -16 + 11. Let q = 0.02 - 3.02. Which is the closest to t? (a) -1\/5 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -5. Suppose w = -4*s - 5*x, 4*s + x = -3*x - 8. Suppose k - 4*k + 129 = s. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195255 to the power of 1\/2, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.322.\nAnswer: 1.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t - 70 = 55*t - 112*t + 38 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 16*g - 4*g - 1)*(-23 - 8*g - 16*g + 23*g) + g**2 + g - g.\nAnswer: 20*g**2 + 438*g + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*4\/192)\/(22\/(-16)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/2725 and -167\/60.\nAnswer: 32700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 1. Let j(y) = -2*y + 4. Let q(k) = 4*h(k) - j(k). Let x = 1 - -1. Let g(r) = 0*r**2 + 4*r**x - 2*r**2. Determine q(g(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -24 + (0 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105380335*b - 82907285 wrt b.\nAnswer: -105380335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*c - 10 = 150*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h + 11. Let z(q) = -2*q + 3*q + 12 + 8*q. Let t(a) = -6*m(a) + 5*z(a). Give t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11604 is divided by 5744?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-1*1*15\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -74, 26, 2.\nAnswer: -74, 0, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/137, 0.10034, 1, 0.5.\nAnswer: -2\/137, 0.10034, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8.8. Let d = w - 4.8. Let b be 26\/6 - 2\/(-3). What is the biggest value in d, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-9) - 32\/(-12). Suppose -t*r + 5*n = -1 - 1, -2*n = 3*r - 3. Let v(o) = -1 + 8*o + 1 + 1 - 2. Calculate v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33454 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - n**3 + 3*n**4 + n**2 + 0*n**3 + 1 as r*n + y*n**4 + v + k*n**2 + i*n**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x. Suppose -7*j - 8 = -22. Let b(h) = -h**2 + h. Let w(n) = j*s(n) - 5*b(n). Let y(o) = 5*o**2 - o. Give 6*w(l) - 7*y(l).\nAnswer: -5*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -12 - (13 + -8 + 6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 10:59 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 212 + ((-12)\/1 - -4).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14676.7 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -272183.44.\nAnswer: -1088733.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6))\/(1\/(-21588)). Let i = 4809 - y. Does 18 divide i\/(-38) - (-2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*v + 27 - 186. What is the fifth biggest value in 16, 0.4, -10, -2\/11, v?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757527.3ns to microseconds.\nAnswer: 757.5273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88995 and 150?\nAnswer: 889950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -2*m**3\/21 + 4*m**2\/7 - 8*m\/7 - 8. Factor v(s).\nAnswer: -2*(s - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2515971 >= -2515970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8537*s. Let k(z) = 4*z**2. Calculate k(f(b)).\nAnswer: 291521476*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 11, l: 1, w: 4}. What is prob of sequence ww?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -346.42 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(245) - (sqrt(245) + sqrt(245) + 1*sqrt(245))) + sqrt(245) + 1*sqrt(245)*-6)**2.\nAnswer: -294*sqrt(5) + 12014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 847 and 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224303114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 7. Let i be b(8). Let k(r) = 2*r**2 - 3*r**2 + r + 8*r**3 + 1 + 0*r + 0*r**2. Calculate k(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 35. Find the second derivative of 30*i**5 + 6*i + 229*i**3 - 229*i**v wrt i.\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 15*d + 19. Let l = 1804 + -1787. What is t(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**4\/2 - 165*l**3\/2 - 3699*l**2\/2 - 17739*l\/2 = 0.\nAnswer: -9, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14485\/(-540) + 27 + 1 + (-10)\/8.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.32 * -0.136\nAnswer: 0.17952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 - 2*j**2 - 3*j**2)*(0*j**2 + 2*j**2 + 2 + 0*j**2).\nAnswer: 4*j**4 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4463334 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1862665139 to the nearest integer?\nAnswer: 43159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f. Let p(g) = 16*g. Let i(q) = 10*l(q) + 3*p(q). Let k(n) = 470*n. Let m(w) = 51*w. Let j(a) = -6*k(a) + 55*m(a). Determine i(j(v)).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-30))\/(252\/60))\/1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avbz when four letters picked without replacement from {v: 1, z: 1, b: 2, a: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -8.72?\nAnswer: 17.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 11 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - (sqrt(171) + -3*(sqrt(171) + (sqrt(171) - sqrt(171)*-1)))))\/(sqrt(9) + sqrt(729)*-2) - (-2 + sqrt(684)*1 + 0)**2*-2.\nAnswer: -808*sqrt(19)\/17 + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -220.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 17 - 410 = 0. Find the third derivative of 765 - 259 - 249 - 16*a**2 - 250 - i*a**4 wrt a.\nAnswer: -1464*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -898\nAnswer: 19\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 86*m - 432 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6597 = 33*o - 3534. What are the prime factors of o?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 23. Suppose -2*i + 12 = -2*v, -3*v - s = -2*i - 0. Solve -1\/6*n**3 + 0*n**2 + 0*n - 1\/6*n**i + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2119\/(-299) - (-8)\/92.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, -3, 2, 4, -5, 3, -246 in increasing order.\nAnswer: -246, -143, -5, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2896599.\nAnswer: 5793198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**3 - 7*f**2 - 7*f - 24. Let y(i) = 3*i**3 + 7*i**2 + 6*i + 22. Let h(p) = 4*r(p) + 5*y(p). Is h(6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21876.9196 rounded to the nearest 100?\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 107511 and 0.0003813.\nAnswer: 107511.0003813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11.55 times 0.2\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 5*l + l as m + s*l and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 276 = -2*b, 0*b + 4*b - 345 = -5*u. Suppose -2*i = -9 - u. Suppose x + 3*x = 20. Solve -14 = x*s - i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1261*l - 8*l**2 - 12 - 129*l - 1383 + 13*l**2 = 0. What is l?\nAnswer: -1, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-44)\/(-11) - 13)\/3. Let g(q) = q**2 - 6*q - 1. Let y be g(6). Which is the third smallest value? (a) n (b) 9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n**2 + 7*n*q**3*z + n*q**3 + n*z - q**3 + q**2*z - 30*q**2 wrt n.\nAnswer: -4*n + 7*q**3*z + q**3 + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 4, o: 1, t: 2, w: 9}. What is prob of sequence gt?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let m(z) = z. What is m(l(b))?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 1, e: 1, a: 2}. Give prob of sequence xje.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((2475\/45)\/(-11))\/5)\/(86\/(-6))?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -51*b**2 - 4*b + 4. Let x(h) = 51*h**2 + 3*h - 3. Determine -3*j(w) - 4*x(w).\nAnswer: -51*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h = -5*j + 230, 2*j = -2*h + 80. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14726 + -39554037\/2686. Let p = 65811\/10744 + t. Calculate the common denominator of p and 35\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**21)**31 assuming o is positive.\nAnswer: o**651","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606489 is divided by 70.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 17 + 5 = 0. Let w be x\/(-20) + (-2)\/(-10). Let a = 0.1 - 0.1. Is a at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 4)*(6*o + o + 4*o)*(19*o**3 - 4*o**3 - 6*o**3) as p*o**3 + q*o + k*o**2 + s + d*o**4 and give d.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p - 1. Let s be z(-1). Let n = 11 + s. Suppose 6*g + 280 = 298. Solve -3*i + 16 = n*j - g*j, 3*i - 4*j - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y - 7*y + 7*y)*(-45*y + 16*y**2 + 45*y)*(6*y + 4*y - 4*y).\nAnswer: 1344*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b**2 + 133 + b**3 - 107 - 2*b**3 - b. Let j be k(13). Differentiate -j + 5 - 3*n**4 + 6 + 3 with respect to n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100101 (base 2) to base 14.\nAnswer: 16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:44 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20060*-2.\nAnswer: 40120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -44*n**2 - 55*n - 44. Let s(q) = q**2 + q + 1. Let g(x) = -m(x) - 55*s(x). What is the first derivative of g(b) wrt b?\nAnswer: -22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 + 4*d + 3. Let m be p(-4). Suppose -12 = 2*v + 3*v - 3*w, 3 = -m*w. Sort v, 0, -5 in increasing order.\nAnswer: -5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 250.3 and 0.09.\nAnswer: 22.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4\/3, 4, 0.5, 1\/3, 193 in increasing order.\nAnswer: 0.1, 1\/3, 0.5, 4\/3, 4, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-10))\/(16\/40). Let v be ((-4)\/(-8) + -2)*x. Let z be 1\/v*165\/22. Which is the third smallest value? (a) 0.3 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*d = 40*d + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4179939194.\nAnswer: 2, 109, 19174033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9789000 and 37650.\nAnswer: 9789000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7810447 is divided by 2603480.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/8)\/((-434)\/(-217))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/10 and 488\/(-20)*(-6)\/48?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56\/192*2\/7\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 8, 43, 102, 191, 316, 483, 698?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 21*o + 2. Let p(t) = 4*t - 1. Let x(g) = g**2 - 8*g + 2. Let a(r) = 2*p(r) + x(r). Calculate w(a(d)).\nAnswer: 21*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8 and 5589082.32816.\nAnswer: 5589090.32816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88819 by 3.\nAnswer: -88819\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -20*j**2 - 14*j - 11. Let i(s) = 4*s**2 + 3*s + 2. Let d(n) = -11*i(n) - 2*t(n). Let c(u) = -12*u**2 - 14*u. Calculate 5*c(q) - 14*d(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 17\/5*r**3 + 0*r - 2\/5*r**5 - 2*r**2 + 7\/5*r**4 = 0.\nAnswer: -2, 0, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 3. Let d be j(4). Let l(x) = 0*x + 2*x - d + x. Let p be l(4). Which is bigger: 6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1027667 rounded to three dps?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**2 - 3*j. Let m = -85 + 63. Let q(i) = i**2 + i. Let p(x) = m*q(x) + 2*y(x). Factor p(z).\nAnswer: -4*z*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - s + 30. Let g be h(0). Suppose 254 = 2*m - 40. Let k = m - g. What is the greatest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rff when three letters picked without replacement from rfrffffffffrfff?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -208849*o**2 + 6480260*o\/3 - 50268100\/9.\nAnswer: -(1371*o - 7090)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - sqrt(187)*3)*-1 - (sqrt(187)*2*2 - sqrt(187)))\/(4*((sqrt(1331) - -1*sqrt(1331)) + (sqrt(66)*1 + sqrt(66) - sqrt(66))\/sqrt(6))).\nAnswer: -sqrt(17)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) -1 (c) 0.06 (d) 0 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268\/3215 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 11*s**2 + 10*s - 26. Determine m(-12).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 50*z + 125 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 1 + 39 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) + sqrt(187)*-3 + sqrt(187))*2)\/(sqrt(396)*1 + sqrt(11)) + -2 + -6*sqrt(153)*-1 + -3 + sqrt(153)*2 + sqrt(153) + sqrt(153).\nAnswer: -5 + 209*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 - 54038*p**5 - 185267*p**2 + p - 2?\nAnswer: -240*p**3 - 3242280*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipig when four letters picked without replacement from iivvvvvvgiipjigv?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2250 and 157\/600.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/3 - 2128*h\/3 + 938192.\nAnswer: -4*(h - 614)*(h + 1146)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 9 - 146*f - 9 - 63*f in the form p*f + k and give p.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - 111) + 97 + 15.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 53. Let k = -303 + 507. Let t be (-2)\/6 - k\/(-396). Which is the second biggest value? (a) t (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*b - 49. Let w = b + 34. Let g(r) = r - 7. Let c be g(w). Solve c*d - 2*d = 5*f + 21, -5*f + 2*d - 13 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -83. Let n be ((-10)\/(-6) + -1)*12. Suppose 5*r + n = 33. Calculate the highest common factor of r and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-38))\/j**(4\/13)*j**(2\/25)\/(j\/(j*j\/j**48*j)) assuming j is positive.\nAnswer: j**(-2024\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okk when three letters picked without replacement from {b: 1, k: 5, e: 3, j: 5, f: 2, o: 4}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985522.\nAnswer: 2, 7, 11, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.43 - 21.14. Round a to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48\/(-10))\/((-6)\/40). Suppose -l + 35 + b = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/33 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.373 + 176.373. Let p = a + -176.01. Let n be -1 + 2 + (-34)\/30. What is the smallest value in n, 1, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2904?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -574 (b) 0.12 (c) 3\/5 (d) -3 (e) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1028 (base 10) to base 11.\nAnswer: -855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -29340, 9, -4.\nAnswer: -29340, -4, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -110661 and -110634 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 + 67\/(-3). Let f be 40\/(-220) - 48\/h. Which is the closest to 1? (a) 38 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -4 (c) -3 (d) 0.1366 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkujakkkxjxkuxkjxju. What is prob of picking 3 j?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2))**(-3\/26))**11*j**(-1\/11)\/((j\/j**(-2))\/j)*(j**(-1))**(-3\/5) assuming j is positive.\nAnswer: j**(-6079\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from rrrvrvvrvrvrrvrrvvv?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (9 + -11 + 5 - -7 - 53).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 372719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217.901 + 218. Let g = 1 + -1.2. Let k = x + g. Round k to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18495.594 - -18475. Round a to one dp.\nAnswer: -20.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 326 - 174. Is -0.2 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 355 = -295 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-135))\/((-64)\/(-96))*-2\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4950, 4947, 4944, 4941?\nAnswer: 4938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7356?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 b, and 2 y when four letters picked without replacement from byyyyytybbbntbbyb?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6072.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 - 7*z**2 + 10. Suppose -2*p = -3*p + 2. Suppose s - 3*c = 3*s + 1, -p*s - 22 = -4*c. Is b(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 + -2.61. Let h = -2 - l. Let k = 5 - 3. Which is the biggest value? (a) 0 (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g\/(g\/((g*g\/g**(-7))\/g*g))*(g\/(g*g**9))\/g**(3\/8))**12 assuming g is positive.\nAnswer: g**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4128*x + 1375. Is a(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/132)\/((-81)\/(-216))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -12 + 18 + (-4 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 7*d + 2. Let y be a(-8). Let g = y - -10. Suppose 3*b + 34 = g*r + b, 3*r = 3*b + 27. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 32 + 68. Suppose -o + 2 = 3. What is the smallest common multiple of c and 2*-1 + o + 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:22 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10 - -227) + 2)\/1 is divided by 90.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 - -71.3. What is the closest to k in -2, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17794 - 17794.00009837. Round k to six dps.\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3133 (base 4) to base 15.\nAnswer: ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -o - 4, -2*f + 1 = -3*o - 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -203 + 25. Let z be b\/(-15) - (-12)\/90. Is 21 + (-4)\/(z\/(-9)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579579809 take away 546.7?\nAnswer: 579579262.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 4, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -6, 0.2, -75, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 884457.3ns in seconds?\nAnswer: 0.0008844573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*o - 305*o - 28*o - 27*o + 2*o.\nAnswer: -922*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 33*y**2 - 107*y**2 + 36*y**2 + 31*y**2. Let w(q) be the third derivative of q**4\/12 - 3*q**2. What is w(n(s))?\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743 - 777 - 8840 = 153*r for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*k - 18548, 2*k + 5*d - 4029 = 5236. List the prime factors of k.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(28*a**2 + 25*a**2 + 2*a - 50*a**2).\nAnswer: 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 104143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 30 = -5*l, -2*v + 2 = 12. Calculate the remainder when 22 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/(3*sqrt(3)) - sqrt(12)\/(sqrt(6)*3 + sqrt(6)) - 2*sqrt(4)\/(sqrt(250)\/sqrt(5) - sqrt(2))) + 1)**2.\nAnswer: -5*sqrt(2)\/6 + 97\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 7*x - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexyyyxyxy. Give prob of sequence xex.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/42 and -89\/98?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30663 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43634762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -101*w**2 - 1284*w + 321. Calculate n(-13).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 29. Is ((-8)\/6)\/(b\/(-84)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8*s = -72. Suppose -15 = -3*z + s. Calculate the remainder when 41 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r - 97. What is u(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*771*(-2)\/3. Let f = y + -2089\/4. Find the common denominator of f and (355\/330 - 1)*1*27.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28 and -436186.\nAnswer: -12213208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*m - 3 - 32 = 0, 5*m - 20 = 0. Suppose u + 11 = -k + f, 0 = 3*k - 3*u - 102. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 1332.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163 - -314. Suppose -6*r + 1123 = i. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**38\/z*z*z\/(z\/(z\/(z**(2\/35)*z))))\/(z**(19\/3)*(z*z**(-31\/3))\/z) assuming z is positive.\nAnswer: z**(1468\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b29a (base 14) to base 12.\nAnswer: -522a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwww. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -11. Let m be ((-4)\/t)\/(8\/(-20)). What are the prime factors of -1 + 0 + m - -34?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6667*q - 6612*q = -692 - 2491 - 7 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 485*n. Let g(s) = -2*s**2. Give q(g(c)).\nAnswer: -970*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.051 - -1.949. Which is the closest to -0.2? (a) 3 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aa - -465?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 12*j - 2. Let o be h(13). What is the second derivative of -173*b**2 - 9 + 67 - b - 168 + 52*b**2 - o*b**2 wrt b?\nAnswer: -550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 17*n = 0. Solve n = -2*h - 2*w - 4, 2*h + w + 3 = -0*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 722 = -232. Calculate the highest common divisor of s and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*a + 2 + 2, -4*h = 4*a + 8. Let p be 52\/16 + a\/8. What is the hundreds digit of (p - (-54)\/4)*12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - 96. Suppose -4*g - p*r + 16 = 0, -5*r - 1 - 1 = -4*g. Let w(c) = -c - 3. Let o(m) = m + 2. Give g*w(x) + 4*o(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(5) + 2))**2*3.\nAnswer: 432*sqrt(5) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 + 7. Let d(k) = -5*k. Give d(x(w)).\nAnswer: 35*w**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*f - 353 + 115 + 124 + 113 in the form k + b*f and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -1889237?\nAnswer: -1889240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/6)\/(((-42)\/7)\/36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32810003*w**2 + 57991540 with respect to w.\nAnswer: -65620006*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*k**3 - 438865*k**2 - 285230*k - 43880 = 0. Calculate k.\nAnswer: -4388, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 33 = -6. What is the remainder when v is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -689.8 + 660.8. Let b = 0.3 - -1.7. What is the second biggest value in 0.5, t, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 3*k - 4. Calculate p(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7.5. Let q = -1.5 - x. Suppose -4*j - 3*u - 4 = 0, 0*j + 5*u - 24 = j. Sort q, -2\/3, j in descending order.\nAnswer: -2\/3, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5292308245 = 26*z + 5405391755. Round z to the nearest 1000000.\nAnswer: -411000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15202*z = 15336*z + 15292*z - 46243*z - 23541 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23538.66 decades in centuries?\nAnswer: 2353.866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28176.\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -143*c**3 - 28*c**2 - 10*c - 10. Let d(y) = -214*y**3 - 42*y**2 - 14*y - 14. What is -5*d(u) + 7*t(u)?\nAnswer: 69*u**3 + 14*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) - 742\/(-5). Let z(o) = -o**3 + 5*o**2 - 5*o - 1. Let g be z(3). Suppose -7 = -g*q + 1, 2*q - w = -4*m. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.4, -0.13, -216 in decreasing order.\nAnswer: 0.1, -0.13, -0.4, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 807074 smaller than 807081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1.73\nAnswer: -1.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 20 = 3*s. Suppose -3*k - 16 = -2*d, k = -3*k + 16. Suppose 4*u = 3*a - d, 21 = 4*a - 8*u + 5*u. What is the remainder when a is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b*b**6*b))\/b**0)**(1\/25) assuming b is positive.\nAnswer: b**(-9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1\/1142 (c) -2.8 (d) 2\/9 (e) 0.1 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - k**3 - 45 + 61.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -883, -2272, -4587, -7828, -11995, -17088?\nAnswer: -23107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-2)*j)\/j)\/(j*j**(-9)))\/(j\/(j\/(j*j*j\/(j*j**(10\/9)*j)))*j*(j*j**(-6))\/j))**(21\/5) assuming j is positive.\nAnswer: j**(763\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 8*c + 11. Let m be i(5). Sort 0, 2, m, -1 in descending order.\nAnswer: 2, 0, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 38 = 27. Let v(p) = -13*p - 10. Let h be v(-7). Let a = -893\/11 + h. What is the third smallest value in a, g, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 98, 137, 214, 341, 530, 793, 1142?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*n**3 + 126*n**3 - 133*n**3.\nAnswer: -305*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071244 to six decimal places.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49243379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let t = 435 - 172. Let s(b) = 131 + 129 - 3*b**2 - 7*b**2 - t. What is r(s(o))?\nAnswer: 100*o**4 + 60*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 1\/5, 10187, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -339 - -1\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3124, -12441, -27968, -49705, -77652, -111809?\nAnswer: -152176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x + 9 + 13*x + 1.\nAnswer: x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5755615.\nAnswer: 5, 31, 71, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 48)*(1140\/(-1800) - 10\/(-75))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.4, -0.056, -8 in increasing order.\nAnswer: -8, -0.3, -0.056, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-18)*246\/82?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 39 in descending order.\nAnswer: 39, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*w + 80, -10 - 9 = -4*w - 5*n. Solve -2*a + 5*d - 1 = -w, 4*a - 20 = d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 18 + 21 - 79*x - 2*x**2 + 59*x - 23. Determine w(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -459 divided by 19\nAnswer: -459\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9490000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13557*j + 21 + 9358*j + 7 - 28 to the form m + w*j and give w.\nAnswer: 22915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 8.33 and 4\/87 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {b: 2, k: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:22 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.05191716 rounded to 3 decimal places?\nAnswer: 7.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssjssssssssssjs. Give prob of picking 2 s.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26415.\nAnswer: 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -165, -1994, -6997, -16776, -32933, -57070, -90789?\n\"Answer: -267*v**3 + 15*v**2 - 5*v + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 6*q - 4*q - 2 = 0, 9 = -3*a + 3*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-128))\/(2\/(-4))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 264942008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**3 + 37*r**2 + 9*r - 5. Give p(6).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 + 18 = s + 3*g, 517*s + g = 521*s - 2*g - 61 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*t = -6, -6*a + 20 = -5*a - 2*t. What is the least common multiple of a and 1822?\nAnswer: 7288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -11100?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -10, 10*r - 6*r = 3*a + 27. Suppose 0 = -6*x + 63 + r. Calculate the greatest common factor of x and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/6 - 26*(1884\/(-144) - -13). Which is the third biggest value? (a) -3\/2 (b) -1 (c) n (d) 233.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57948 divided by -225\nAnswer: 19316\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 19. Suppose -x - 3 = 0, -278*x + 274*x = 2*s - 164. What is the least common multiple of s and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 15\/2*t**3 + 30*t - 5\/4*t**4 - t**5 + 0 - 5*t**2. Factor b(m).\nAnswer: -5*(m - 1)*(m + 2)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5551 + -2037. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 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: What is the tenth root of 119255198 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + n = -11, -2*l + n + 3 = -3*l. Sort -14, 115, l, -4.\nAnswer: -14, -4, l, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/7 and 34\/6355.\nAnswer: 44485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 2. Let x be (-20)\/(-2) + -5 + 1. Let d be u(x). Solve 3*k = 2*k + q - 1, 2*k = 4*q - d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 102, 200, 298?\n\"Answer: 98*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31140 divided by -4?\nAnswer: 7785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 5 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -206*u - 7319. What is the units digit of f(-111)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 6*p - 8. Let q be f(5). Let z be (-1 - -8)*(-1 - (1 + q)). Suppose 3*y + 3628 = z*y - 5*j, 5*j - 3628 = -4*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/20 + u**4\/8 + 31*u**3\/6 - 2569*u**2. Let w(t) = t**2 + t + 15. Give -2*v(g) + 5*w(g).\nAnswer: -g**2 - g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -28. Is 14 a factor of 22 + (k\/(-1) - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2617\/4 + -694. Let m = w + 40. Is m >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104943 and 5106.\nAnswer: 178612986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-90)\/((-450)\/(-30))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 1 = 0, 0 = 2*z - f + 5009. List the prime factors of z\/(-20) + 2\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3857, 7711, 11565, 15419?\nAnswer: 19273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -32*i**7\/21 + 5*i**4\/2 - 12*i - 2. Find the third derivative of r(k) wrt k.\nAnswer: -3840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13210 (base 6) to base 8\nAnswer: -3746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, e: 1, m: 3, s: 1, g: 2, t: 1}. Give prob of sequence eqt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 0*c**3 + 258*c**2 - 258*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:16 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.06768 - -0.3.\nAnswer: -72.76768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/15 - 16*d\/15 + 22\/5 = 0. What is d?\nAnswer: -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 9*l**5\/4 + l**4\/2 - 27*l**3\/4 - 6*l**2 - l = 0.\nAnswer: -1, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45545 - 7939. What are the prime factors of w?\nAnswer: 2, 18803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13232139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*sqrt(2736) - sqrt(2736)))**2*2.\nAnswer: 48*sqrt(19) + 5474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) - (45 + (-97382)\/2204)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9399*n. Let o(c) = -2131*c**2. What is o(k(f))?\nAnswer: -188255099331*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.88 + 6. Round h to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1656214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d**2 - 3. What is b(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z - 12. Let i(s) = s**3 - 2*s**2 + 5*s - 4. Let q be 2 + 74\/(-10) + 12\/30. Let v(a) = -a**3 + 3*a**2 - 6*a + 5. Give q*i(g) + z*v(g).\nAnswer: -g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 513.18 + 2.82. Let h = -517.665 + y. Let k = 0.015 + h. What is k rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5185 (base 13) to base 4.\nAnswer: 2233333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035307475 to the power of 1\/3, to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 - -1.7. Which is the second smallest value? (a) -4 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2, 3*y - 7*y + 1238 = -p. Suppose -y - 56 = -5*t. What is the remainder when t is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73948, 73971, 73994?\nAnswer: 74017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 16 = 10*h - 8*h, 5*k - 8 = 3*h. Let n(d) = -20*d - 119. Let b be n(h). Let p be (-13)\/5*(-5)\/6. Are b and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 + 2034*t\/5 + 16208\/5.\nAnswer: (t + 8)*(t + 2026)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2 + 5 + 0*m**2 + m**2 - 2*m**2 + 6*m. Suppose 8*z + 48 = 4*t + 6*z, -2*z = 5*t - 78. Let u be (t\/10)\/((-34)\/(-170)). What is k(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 244.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**28*d**(1\/15))\/(d**19)**40 assuming d is positive.\nAnswer: d**(-10979\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 72 - 18*l**3 - 10*l**3 - 120*l + 2*l**4 + 74*l**2 + 12*l**3.\nAnswer: 2*(l - 3)**2*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 152 = -4*h - 164, 9 = -5*d + h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**6\/120 - 7*q**5\/60 + q**4\/3 - 2*q**3\/3 + 2*q**2. Let j = 10 - 4. What are the prime factors of w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.46283 decades to centuries.\nAnswer: 3.946283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32\/(-10))\/((19 - -2) + 1391\/(-65)). Suppose 4*q = 2*v - 20, -24 + 4 = -5*v + 4*q. Which is the nearest to v? (a) g (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 12 = 3*s. Let c be (-2)\/s*(3 + -1). Put c, 0, 3 in descending order.\nAnswer: 3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 4 = 5*r. Suppose 0*f + 14 = 5*g - 4*f, -2*g - 1 = r*f. Suppose 190 = g*x - 88. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1324*p - 30 = -1319*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v\/(v**11\/v*v*v)))\/(v\/(v\/v**(-5))) assuming v is positive.\nAnswer: v**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) 0.3 (c) -1\/5 (d) -1\/16 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002557609 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 5\/6, -539, 2\/5 in descending order.\nAnswer: 5\/6, 2\/5, 2\/17, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/3 - -26\/21. Let n = 0.8 - 4.8. Let y = 4091 - 4088. What is the closest to y in x, n, 1\/6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111 + 111?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k - 45. Is (-4372)\/(-10) + (-3)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 335*t + 650.\nAnswer: 5*(t + 2)*(t + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 7*l**2 - 2*l - 17. Let p be g(-7). Sort -5, p, 4, 7.\nAnswer: -5, p, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 7*d**4\/6 - 89*d**3\/6 + 165*d**2. Let o be c(3). Let k(x) = 2*x + 12. What is k(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 2. Let k be z(2). Let o be ((-26)\/39)\/(9\/9). Let x = -5.3 + 5. Which is the closest to k? (a) o (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4685, -37518, -126633, -300170, -586269, -1013070, -1608713, -2401338?\nAnswer: -3419085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*25\/(-60)*-12. Suppose 2*r = -5*m + 25, -5*m - 9 = -2*r + 6. Let s = r + i. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238982, 477965, 716948, 955931, 1194914?\nAnswer: 1433897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27311672, -27311673, -27311674, -27311675?\nAnswer: -27311676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*m + 32 = 0, -6*g + g - m = -16. Suppose g*d = -5*x + 77, -4*x - 5*d + 3 = -55. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*h + 6 = 0, 0 = 5*l - 0*h - 4*h - 3. Put l, -38, -5, -4 in decreasing order.\nAnswer: l, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 20?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 236919?\nAnswer: -236913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(448\/60))\/(65\/(-156))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(605) + 1 - (sqrt(180)*2 + sqrt(180) - 3*2*sqrt(5))**2 - (((0 + sqrt(605))*-5 + sqrt(605) - (sqrt(605) - (sqrt(605) + 0 + 0)))**2 + 3).\nAnswer: -10406 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.189 - 0.721. What is q rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304486 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -3*m**2 - 1\/8*m**8 + 5\/12*m**4 + 0*m**5 + 1\/15*m**6 + 0 + 0*m**3 + 41*m + 0*m**7. Find the third derivative of o(q) wrt q.\nAnswer: -840*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4135474 years?\nAnswer: 0.004135474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l + 4*l - 65 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4309, -8629, -12949?\nAnswer: -17269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 67, 4, -7.\nAnswer: -7, 1, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*w + 2*w. Let b be (-2)\/16 + 1\/w. Let a = 3.5 - 0.5. What is the biggest value in 0, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11*128721883\nAnswer: 14159407.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 8*v + 72. Let d = 9 - v. Is 988 - (-3 + (-18)\/d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/8 in -2, -1\/9, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316*-3.\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -49, -110, -171, -232, -293?\n\"Answer: -61*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101100110 - 1?\nAnswer: -100101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-9)*2583\/(-2870))\/((-935)\/25).\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Suppose -3*u + 6 = n - 2, s*u - 24 = -3*n. Solve -4*q + 0*q = n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1)*(-1 + 4 - 1)*(-2 + z - 2*z + 1) as k*z + o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -157789.68247 and -0.4.\nAnswer: -157790.08247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let b be (-6 + 19)*(-1 - 4\/(-2)). Let k = b - 18. Sort k, 4, r in increasing order.\nAnswer: k, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - n - 5. Let u = 11 - 13. Let l = -5 - u. Let w be s(l). What is the greatest common factor of w and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.3488 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39591 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**3 - 14000*s**2 - 18620*s + 18640.\nAnswer: -5*(s + 2)*(s + 932)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 30 = 4*z. Let d = z + -5. Suppose -4*t - 29 + 9 = 0, -5*w - 2*t = 0. Solve -d*f = w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.342 + 0.221. Let c = u + 0.021. Sort 0.1, -0.034, -1, c.\nAnswer: -1, c, -0.034, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-3 - 2) - -17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2568 and -13\/15729.\nAnswer: 125832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 21 - 52 = 0. Let d = 88 + -133. Let u = f - d. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 593, 1171, 1709, 2189, 2593?\nAnswer: 2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.1948 and 0.048950559.\nAnswer: 4.243750559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0. Let q = 11953.6 - 11953.5. Which is the closest to 4\/11? (a) v (b) q (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.8958 nanograms in kilograms?\nAnswer: 0.0000000005958958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0 - 4. Suppose -z*a + 1 + 15 = 0. Calculate the smallest common multiple of (-1 + -8)*8\/(-6) and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsssvvsvvs. What is prob of picking 1 v and 1 s?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -510\/14057347 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (-50584)\/(-10) + (-10)\/275*11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 - 1014. Let p = -419 - w. What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4840) - sqrt(4840)) + sqrt(2560)*2)\/(((sqrt(160)*-1 - sqrt(160))\/sqrt(5))\/sqrt(4)).\nAnswer: -27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29158 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42796 is divided by 14234.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8511, -16957, -25377, -33765, -42115, -50421, -58677, -66877?\n\"Answer: q**3 + 7*q**2 - 8474*q - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Solve z - 2 = 0, 2*m - h = -m - z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.0248 to 1 decimal place.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llolluwuoolul. Give prob of picking 3 u.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9635, 6, 27 in decreasing order.\nAnswer: 9635, 27, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 57 + 38 + 1418*l - 152.\nAnswer: 1418*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)*d*(d*d**2*d)\/d*(d**1)**13*((d*d**(1\/5))\/d)\/d**(1\/10)*d**1*d**(-3\/4)\/d assuming d is positive.\nAnswer: d**(941\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j - 2*p - 4, -3*p = 4*j + 3. Suppose q + 2*v = j*v + 8, -3*q - v + 24 = 0. Solve -q = 4*w + f, 2*w + 23 = -w - 5*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2727 + 2728. Sort -2, -13, l, 8 in ascending order.\nAnswer: -13, -2, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5928 and 4?\nAnswer: -23712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 104603762?\nAnswer: -104603764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 370444*c**4 - 327838*c**2 - c.\nAnswer: 8890656*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67\/10 or -8?\nAnswer: -67\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 9*k**2 + 20*k. Let x be s(-11). Suppose 22*p - 22 = x. Factor 2\/9*h**p + 0 + 0*h.\nAnswer: 2*h**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 5:13 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42128491 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3302 - -3?\nAnswer: -3277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -7*y**4\/4 + 7*y**3\/3 - 2. What is the third derivative of u(f) wrt f?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -3 - 1)\/1. Let r(p) = p + 10 + 4 + x. Let m be r(-10). Solve m*i - 2*w - 1 = -w, 0 = -2*i - 2*w - 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11266, -19470, -33144, -52288, -76902?\n\"Answer: -2735*p**2 + p - 8532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 6*o - 8. Let l be r(3). Let d be (-17)\/(-1) + (-7 - 32\/l). Suppose -2*f = -2*y - d, -y - 16 = 3*y - f. Sort 13, y, 1.\nAnswer: y, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 11*h**2 - 29*h + 7. Let l be c(14). Suppose -8 - 34 = -6*x. Calculate the highest common factor of l and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 464?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*w + 212, 3*w + 561 = -u - 2*u. Let h = u + 193. Solve -2*p + 3*b = 2*b - 1, b = 3*p - h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -104210 + 208425 - 119*m - 104215. Let r(b) = 2*b**2 - 3*b - 3. Let o(n) = -5*n**2 + 8*n + 8. Let s(i) = 3*o(i) + 8*r(i). What is x(s(t))?\nAnswer: -119*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12*-8*3\/184.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = 5. Suppose -x - 3 = -2*l + r, x = 5*l - 18. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349514?\nAnswer: 2, 11, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 10 + 134. Let p be (g\/(-15))\/(9\/(-30)). Is (-658)\/(-8) + 6\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g - 7. Let y = 0 - -17. What is the remainder when m(5) is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 2*y + 2*y)*(-1 - 2 + 1) + 4*y**3 - 5*y**3 + 5*y**3 + (0*y - y + 7*y)*(-3 + 3 + 5*y**2).\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/4 and 115\/16589188.\nAnswer: 16589188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 7*y**3\/3 - 7*y**2\/2 + 6*y + 19. Suppose 4 = -52*x + 51*x. Let w(r) = 6*r**2 - 6*r + 5. What is x*k(d) + 5*w(d)?\nAnswer: 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 6:00 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*s = 299*s - 36*s + 1532 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -100406.8 to the nearest 1000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422640502.\nAnswer: 2, 17, 23, 540461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 2:22 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7181*n - 5852512. Determine d(815).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 282*i + 13254.\nAnswer: 3*(i - 94)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**2. Let y(i) = 5*i**2 - 11. Let f(t) = t**2 - 1. Let k(u) = -66*f(u) + 6*y(u). Calculate s(k(w)).\nAnswer: -5184*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 72 = 4*l. Let u = 30 - l. Suppose -3*n = -4*n + u. Calculate the remainder when 35 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 5*n. Let b be g(2). Solve -3*v + 15 = b*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 3*u - 205. Let i(r) = -4*r**2 + 5*r - 412. Calculate -3*i(s) + 5*j(s).\nAnswer: 2*s**2 + 211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (6 - (0 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 635 - -341?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x + 0 + 1\/21*x**7 - 7\/60*x**5 + 0*x**4 - 5*x**2 + 0*x**3 + 0*x**6. Find the third derivative of u(a) wrt a.\nAnswer: 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3062, 3026, 2980, 2918, 2834, 2722?\nAnswer: 2576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*9408\nAnswer: -2822.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 1. Let a(s) = -172*s + 2. Determine a(p) + 3*o(p).\nAnswer: -178*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 4 - 4 = 0. Let c be (1\/(-5) + l)\/1. Let z = 6 - 5.7. What is the closest to 0.1 in z, 4, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -25*g**3 + 3*g**2 + 11747*g - 35259. What is u(3)?\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 355\/536 (c) -5 (d) 0.3 (e) 16 (f) 4 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8638 and 1679474?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3871046599 to the power of 1\/3, to the nearest integer?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/15, -30, 0.4, -0.1, 17 in descending order.\nAnswer: 17, 0.4, 4\/15, -0.1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:04 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from povbvppvovpb. What is prob of picking 1 o and 1 v?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**3\/3 - t**2\/2 + t - 2. Let r be a(1). What is the lowest common multiple of r\/((-2)\/4) - -8 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -466\/7. Let x be 224\/(-110) + 2\/5. Let t = x + 32\/33. Which is the closest to -2\/9? (a) -3 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 6. Let f be m(-6). Let z = -3 - f. Let g = z - -3. Solve g = 4*o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*k + 112*k + 12. What are the prime factors of ((-30668)\/(-55))\/4 - k\/(-5)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 32, -20, 906, -1, 6 in decreasing order.\nAnswer: 906, 32, 6, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -17*u + 21. Let i(m) = -33*m + 42. Let w(z) = 6*i(z) - 11*x(z). Let n(p) be the second derivative of p**3\/3 + 8030*p. Calculate n(w(g)).\nAnswer: -22*g + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlkkggd. Give prob of picking 1 d and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -17. Let o be -3*(64\/b)\/(-4). What is the tens digit of 33 + 1 - (o + -20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5287 - 5?\nAnswer: -528c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 9\/4*(-8 - -16). Suppose 4*h = -o, 5*h = -u + 2 + 34. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 611 and 30641?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 12:33 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**3*y**6 - 81*m**3*y**3 + 7*m**3*y**2 + 5*m**3 + m**2*y wrt y.\nAnswer: -360*m**3*y**3 - 486*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 12:14 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -446 + 451. Solve -9 + 0 = 2*s - c*k, 2*k = 2*s + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464a42 (base 12) in base 5?\nAnswer: 242100041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.88 - 218240353.\nAnswer: -218240353.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 46*i**2 + 2*i. Let a be k(1). Suppose -32 = 10*t + a. Let o(q) = -2*q**3 - 15*q**2 + 9*q + 12. Determine o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3 + 489836*l**2 - 3918784*l + 7837632 = 0.\nAnswer: -244926, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - o - 5. Let r(f) = 906*f**2 + 3*f + 15. Calculate -3*p(q) - r(q).\nAnswer: -903*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8 - -3. Let w = -2\/21 + -17\/42. What is the nearest to w in 2\/7, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 2236?\nAnswer: 13416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f. Let a(h) = -17*h - 144 + 271 - 127. Calculate a(o(k)).\nAnswer: -68*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*11\/66*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -653b8 (base 15) to base 2\nAnswer: -1001110011111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24608 and 104?\nAnswer: 319904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -4 + -2 + 33 + 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 424502593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 r, and 1 v when four letters picked without replacement from vrrrirlvvtivvvrbi?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -609424.4 - 17194662?\nAnswer: -17804086.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/2*(50 - (-10 - -6)) and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v\/v**0)\/v)**(-1\/36)*(v\/v**(-5))\/v*v\/(v*v**(2\/23))*(v**(-2)*v*v*v**(1\/4)\/v)\/(v*(v*v**(-3))\/v*v*v*v**(2\/3)\/v*v) assuming v is positive.\nAnswer: v**(2849\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160978*c**3*h + 2*c*h*z - 4420*h*z + 335*z wrt c.\nAnswer: -482934*c**2*h + 2*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/100 and -143\/34380?\nAnswer: 171900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 28*f - 5. Let k(s) = 14*s - 2. Let d(p) = -5*k(p) + 3*u(p). Let w(a) = -5*a + 2. Determine -3*d(q) - 8*w(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Let q = -1\/3298 - -9899\/16490. Let t = -1.8 + 1.2. Which is the biggest value? (a) w (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.1 + 12.9. What is the closest to 0 in -0.1, -4, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3 - -16) + -9 - (13 + 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 28*b + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-3 + 0)*(-1908)\/742.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -1. Let l = -1.2 - z. Let h = 0.2 + -0.3. What is the smallest value in 0.5, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + -5. Put 1, w, -5 in descending order.\nAnswer: 1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 14392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 273\/(-36) + 12\/18 and 32\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 0, -32, -100, -216, -392, -640, -972?\n\"Answer: -2*d**3 + 6*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118219016?\nAnswer: 2, 859, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/18 and 13\/4800.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -246*l + 282. Calculate the lowest common multiple of 508 and n(1).\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.7 and -49.63.\nAnswer: -46.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 135065 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 71*r**3 + 4*r**2 - 5*r - 1. Let c(p) = -70*p**3 - 3*p**2 + 4*p + 1. Let g(y) = 4*c(y) + 3*o(y). Is g(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 54029*k + 1080586. Determine n(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (688\/120 + -6)\/((-10)\/15). What is the fourth biggest value in 48, -3\/5, h, 11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(78) - sqrt(78))\/sqrt(3))\/((sqrt(2)*2 + sqrt(2))*-1 + sqrt(2)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -21. Suppose -f + 3 = -u. Suppose -f*r + 2*i = -281, r - 2*i - 87 = -3*i. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 53. Suppose -s - 5 = -n. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + 3*u + u - 4*u in the form p*u**2 + n + a*u and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*k + 26. Let o be k\/(0 + 12\/(-8)). Determine u, given that 0*u - 2\/3*u**3 - o*u**4 + 0*u**2 + 0 - 2*u**5 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 5*b**5\/8 - 5*b**4\/6 + 71*b**3\/6 - 2*b**2 - 39*b. Let d(m) be the first derivative of l(m). Differentiate d(s) wrt s.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717987?\nAnswer: 3, 239329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 280, 9, -5, 3, 4 in decreasing order.\nAnswer: 280, 9, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6003708 - -64?\nAnswer: 6003773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.83 + 40.83. Let l = 3.8 - 3.88. Which is the smallest value? (a) 0.3 (b) k (c) l (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 5 - (-4 + 3 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - v - 2*z - 10 = 0, 5*z + 1 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*a + 6*a + 57, 2*x + 32 = -2*a. Suppose -12 + 2 = -5*o. What is the remainder when 2\/((-48)\/a - o) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3415068*-0.049.\nAnswer: 167338.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {m: 3, c: 12, z: 3}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/438826 and 51\/18226?\nAnswer: 5704738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 8*x**2 - 5*x + 3. Let j be 2 + -2 - 70\/(-5). Suppose 0 = -8*l + 6*l + j. What is the remainder when 49 is divided by p(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = -y, -4*v + 8 = -0*y - 2*y. Solve -3*d + 6*d = 5*b + 3, v = -5*b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 12:02 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0 - 5*f**2 - 1\/60*f**5 - f**3 + 107\/40*f**6 + 0*f**4 - 25*f. What is the third derivative of o(v) wrt v?\nAnswer: 1926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 86, 142, 216, 314, 442?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86\/(-28) - (3 + -6))*-4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8768)\/(-176) - (-4)\/22 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*x - x. Solve q = x*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 9*i**2 - 27*i - 9. Let d(y) = y**3 - 4*y**2 - 13*y - 4. Suppose 0 = -6*g - 0*g - 3*f + 42, 3*f + 48 = 4*g. Give g*d(z) - 4*m(z).\nAnswer: z**3 - 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, 129, 4 in descending order.\nAnswer: 134, 129, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 3\/2*m**3 + 2*m**2 + 23*m - 5\/24*m**4 + 3. Factor g(s).\nAnswer: -(s - 4)*(5*s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22811*t - 22818*t + 0*t**4 + 2*t**2 + 4*t**4 - 5 to the form z*t**4 + o*t**3 + l + p*t**2 + g*t and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 238 divided by 17\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453373 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 1. Let r(u) be the first derivative of -11*u**4\/4 + u - 26. Let l be r(-1). Calculate the highest common factor of q and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1129, 19 in descending order.\nAnswer: 1129, 19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4503 * -1098\nAnswer: 4944294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Let o = -0.31994 + -1.68006. Let d = 43\/2 + -22. What is the closest to d in -3, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1336, 1216, 1018, 742, 388, -44, -554?\n\"Answer: -39*c**2 - 3*c + 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 15 = 29*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v. Let r = 4 - 7. What is the units digit of o(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, -6, 1\/6 in descending order.\nAnswer: 1\/6, -6, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8644443 tonnes?\nAnswer: 864444300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 23768*t - 3905280.\nAnswer: 4*(t - 160)*(t + 6102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -6*n + 4*n, 0 = 2*b + 6. Suppose 5*a = -5, -3*y + 5*a + 0*a = -20. Which is smaller: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -5*y - 8*y. Suppose 9*f = 4*f + 5*t + 35, 31 = 4*f - y*t. What is the third derivative of -f*s**3 + 6*s - 10*s**2 - 6*s + 0*s**2 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.29 + 0.49. Let s = -668 - -667.5. Which is the second smallest value? (a) s (b) j (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*a**2)*(5*a**2 - 2*a**2 - 4*a**2) + (-147*a - 53*a - 816*a)*(-4*a**3 - 2*a**3 + 4*a**3).\nAnswer: 2029*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194161746 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1013 or -1012?\nAnswer: -1013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x + 3 = 0. Let n = -61 - -73. Suppose -3*c + 3*k + 3 = n, 0 = 4*k + 8. What is the second biggest value in 4, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 11 + 11)*(120*i + 1034*i + 2462*i).\nAnswer: 3616*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.81913 + -4.\nAnswer: -12.81913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 8*s - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 83*w - 2442. Determine s(18).\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d + 7*d + 8*d - 43*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*d = 28, -2*f - 177 = 12*d - 93 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49119190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1199046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 14*c**2 - 15*c - 4. Let p(z) = -3*z**3 + 13*z**2 - 15*z - 3. Let f(a) = 5*o(a) - 6*p(a). What are the prime factors of f(3)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44466*p - 2460*p**2 + 2462*p**2 + 44466*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 2*q**2 - q + 2. Let z be 19\/(-5) + 2\/(-10). Let t be l(z). Let a = t - 30. What is the greatest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2506598207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(11\/(-132)). Let s be (1\/o)\/((-10)\/20). What is the smallest value in -2\/9, s, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/3*(-23)\/920*24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b + 3*z, -2*z = -5*b + 17 + 5. Let x be b + 8 - 3 - 4. Solve -22 + 2 = x*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 74 = 1279. What is the greatest common factor of r and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337 - 255 - (-5 + (-6 + 7 + -6 - -1))\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -4 + 7 + (-3 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/6 - 35695*k**2\/3 + 571177*k\/6 - 249893\/3 = 0.\nAnswer: -71398, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (520\/(-48) - -12)\/(2\/12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1242 = 7*k + 1228 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {v: 11, w: 1, h: 2, j: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3) + (20388\/954 - 20)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 + (-25)\/(-9). Let q be r + -2 - (4 + 2). Let m(j) = -j**2 - 9*j - 10. Let d be m(-8). Sort d, 2\/11, q in descending order.\nAnswer: 2\/11, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38.26006l?\nAnswer: 38260.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 8, -0.1, 46.\nAnswer: -0.1, 8, 46, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 28*q**2 - q - 27. Let l be x(-28). Let g be 5\/10*0\/1. Let t = 2.1 + -2. What is the closest to l in g, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13)*1)**2 - (sqrt(1053) - sqrt(1053)*2).\nAnswer: -65 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 342*o + 1426. What is the units digit of f(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 5\/2*h**2 - 11\/4*h**4 + 0*h**3 - 63 + 6*h. Differentiate x(o) with respect to o.\nAnswer: -33*o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -26214220?\nAnswer: -26214211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 0.819898\nAnswer: 0.4919388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*j + 4*j - 18 + 2*j - 12*j wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121963?\nAnswer: 3, 707321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260032165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 46 = -5*h, -y - 8 = -0*h + 2*h. What is the thousands digit of (h - -1275) + (-16)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 4) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1042.4, 272\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 347790384*c**2*i + 189*c*i - 2*c - 78111*i wrt c.\nAnswer: 695580768*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -107 or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 225, 175, 119, 57, -11?\n\"Answer: -3*d**2 - 41*d + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**5\/10 + d**4\/8 + d**3\/2 - d**2\/4 - d + 14. Let x(n) = 0. Calculate n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.5. Let l be 1 + 45\/(-15) + (-12)\/(-5). Sort l, w, 1 in ascending order.\nAnswer: w, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**3 - 65212*h**2 - 212643289*h - 85046882 = 0.\nAnswer: -6521, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - k + k + (25*k**2 - 44*k + 44*k)*((-1 + k + 1)*(-2 - 1 + 5) + 2*k + 4*k - 4*k).\nAnswer: 99*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*x - 0. Find the second derivative of 3*g - 5*g**x + 5*g**2 - 2*g**2 wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 2550 + -20*(-15)\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -35?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3*y**2 - y - 2. What is the units digit of i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**2 + 2280*z + 16267. Determine w(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, e: 2}. Give prob of picking 2 e and 1 b.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30753558 by -13453.\nAnswer: 2286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4*v**2 + 2*v - 5. Let n be a(5). Let b = 35 + n. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*f**2*o**3*t**2 + 12*f**2*o**3*t + f**2*t**2 - 2*f**2*t - 4*o**3 - 2*t**3 wrt t.\nAnswer: 68*f**2*o**3 + 2*f**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(192) + -2 + sqrt(192) + (sqrt(192) - (sqrt(192) - sqrt(192)*-1) - sqrt(192))*2 + 4)**2.\nAnswer: -64*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5649 - -5648. What is the closest to -2 in v, -5, 69?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = -0*m. Suppose -m*t = -9 - 19. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 828\/1932 - (-3)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 93. Let i be (m\/4)\/(1\/8). Suppose -2*l - 2*p + i = 32, 5*l + 4*p - 129 = 0. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7523.76502 - 0.530367\nAnswer: -7524.295387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2*b + 4*b)*(-2*b - 4*b + 5*b) + b**2 - 5*b**2 + 0*b**2 + 2.\nAnswer: -3*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2702412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/3)*q**(-1\/36))\/((q\/q**21*q)\/(q\/q**36)) assuming q is positive.\nAnswer: q**(-553\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, r: 3, d: 1, s: 6}. What is prob of sequence rws?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -105? (a) 0.01 (b) 0.1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14332.8213383 - 1?\nAnswer: 14331.8213383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(2) - sqrt(6)\/sqrt(3)*-5) + 2*sqrt(128) - sqrt(12)\/((2*sqrt(24))\/sqrt(4))))**2.\nAnswer: 43*sqrt(2) + 1851\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r**4 - 19*r**3 - 118*r**2 - 17*r - 4614?\nAnswer: 48*r**2 - 114*r - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7130 * 5255\nAnswer: -37468150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*o + 13. Let a be 232 - (-40)\/(-15)*o\/2. Suppose 5*v + 12 = -8, -5*p + v = -194. What is the greatest common factor of a and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 6\/11, 2, -1\/2895?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k*k**3))))**(-20)*(k\/k**(-1\/16)*k)\/(k**26\/k*k) assuming k is positive.\nAnswer: k**(577\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 3*w**2 - 2*w + 3. Let r = 9 + -3. Let h(j) = j**3 - j**2 - j + 1. What is r*h(b) - 2*c(b)?\nAnswer: 2*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105*z + 2*z**2 + 8775*z**3 + 865*z - 4*z**2 - 2225*z**3 + 5*z**2 wrt z?\nAnswer: 39300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 + 0*-3*5\/15 + 0. Let t = 28 + 76. Suppose c*f = -8 + t. Calculate the lowest common multiple of 7 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from lzbdlzzlnzddnzzznbz.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95*((-164)\/(-1845))\/(2\/9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3382 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**3 + 2*m + 1. Let q be h(-1). Let n(o) = 1 - 1 + o**2 + 13299*o**q. Let v be n(1). What is v rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 + p + 3. Let t(h) = -4*h**2 + h + 4. Let o(b) = 3*f(b) - 4*t(b). Let l be o(5). What is the highest common divisor of l and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. Suppose -30 = -5*k - u*b, -k - 5*b + 3*b = 0. What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, h: 2, t: 2, n: 8, x: 2, z: 2}. What is prob of picking 1 x and 1 l?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r**2 + 2*r + 3. Let h(v) be the first derivative of -v**4\/2 + v**3\/3 + 3*v**2\/2 + 4*v + 12. Determine 4*b(f) - 3*h(f).\nAnswer: 2*f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -152676\/5 at most as big as -30535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2322*j - 1327*j + 7280 = 0, -4*n = 3*j + 18 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1 - 14 = 0. Suppose t*f + 1 = -2*p, 4*p - 3*f - 14 = -3. Solve -2*q - 3 + 17 = 4*d, 0 = d - p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/7 (b) 3\/2 (c) -2\/9 (d) 12 (e) 249\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694*g + 740*g = 9384. What is the remainder when 230 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 2*p = 449, -3707*p - 103 = -4*l - 3706*p for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5874 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14243 - -14299. What is the greatest common factor of y and 2590?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22021343 (base 6) in base 8?\nAnswer: 2401377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 451*b**3 + 3*b**2 - 26*b + 1. Let u(n) = 282*n**3 + 2*n**2 - 17*n + 1. Let d(l) = -8*u(l) + 5*x(l). Determine d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 6756590.\nAnswer: 20269770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 divided by -120257?\nAnswer: -238\/120257","meta":{"dup_signals":{},"source":"arithmetic__div_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: -23334 (base 5) to base 7\nAnswer: -5004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 1120*g**4 + 48116*g**3 - 51172*g**2 + 1936*g = 0.\nAnswer: -44, 0, 11\/280, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3765 = 16*s - 1643. What is the least common multiple of 10 and s?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 93769?\nAnswer: -12\/93769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/20))**(-28)\/(c**(-2\/3))**(1\/7) assuming c is positive.\nAnswer: c**(-137\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03 (b) 482 (c) 57 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28967.\nAnswer: 83, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 0, -2*r - 4 = -2*j + 4. Suppose -22 = 2*o + j*p + 164, -4*o - 4*p = 372. Let u = 220 + o. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 9. Let x(i) = 5*i - 18. Let j(q) = 7*m(q) + 3*x(q). What is j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 - 742. Let d = 573.6 + u. Let h be (-8)\/(-3)*-1 + 1. What is the fourth smallest value in 2\/7, 4, h, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111304260 divided by -5?\nAnswer: 22260852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1540, -1700, -1860, -2020, -2180?\n\"Answer: -160*z - 1380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2694000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-18))\/(24\/(-90)). Sort 4, p, 2\/13 in descending order.\nAnswer: 4, 2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*b + 7*b + 15, 3*c - 15 = 4*b. Let z be (-3 - (-21)\/c)*-1. Is -1 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbb when three letters picked without replacement from cbccccbc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*t - t. Find the second derivative of -7*v - t*v**3 + v**3 + 3*v**3 wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnpppnn. What is prob of sequence ppn?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38951.\nAnswer: 11, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Let s = 8.7 - 8.7. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11096 bigger than 10955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a - 3*a + (2*a + 2 - 2)*(0 - 2 + 0) + a - 5 + 5 + 664 + 9*a - 664)*(-6*a**4 + 2*a**4 + a**4).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6965112, -6965145, -6965178, -6965211, -6965244?\n\"Answer: -33*i - 6965079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (192\/240)\/((-2)\/75)*10\/(-15)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -0.0597?\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-6))\/(2\/3))\/(((-210015)\/4290)\/359)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 25711*g - 25716*g + 75446*g - 24019*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/199 or -1?\nAnswer: 35\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 4\/8) + 1\/2. Find n, given that -6*n**4 - 2\/9 - 20\/9*n - 8*n**p - 12*n**3 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001 + 11011011111100?\nAnswer: 11011100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6120 and 6120?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 (base 11) in base 12?\nAnswer: -392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u - 28*u = 132 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 285 - 3*o**2 - 2*o - 288 - 2*o**2 as w*o + i*o**3 + b + x*o**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*t - 14. Suppose 2*m = -2*m - 2*x + 22, -5 = -2*m - 3*x. Let p(h) = -h - m*h**2 + h**3 + 3 + 0 + 3*h + 2*h**2. Give p(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bng. Give prob of sequence bgn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 8:21 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w + 53. Let k be m(0). Suppose -77 = -5*x + 4*x. Is (0 + k)*x\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.23 + 8.2. Let s be (7\/(-70))\/(60\/16 + -4). Sort s, -5, w in decreasing order.\nAnswer: s, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 8*l**2 + 7*l - 9. Let b(z) = -15*z. Let n be b(1). Let j be 188\/(-20) - (21\/n + 1). What is the units digit of t(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -3\/28*i**4 + 12\/7*i - 1\/7*i**3 + 6\/7*i**2 + 2. Factor d(a).\nAnswer: -3*(a - 2)*(a + 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - y = -4, 1761*c - 1765*c - 5*y + 11 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 0*z**2 + 2*z**2)*(5 - 5 + 2*z)*(3 - 3 - z)*(40 + 21 + 37).\nAnswer: -196*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 8:38 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-7)*y\/y**(1\/6)*y assuming y is positive.\nAnswer: y**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -3.9. Let n = 66.21 - 0.21. Let v = n + -67. Which is the smallest value? (a) 1\/8 (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 - 25*t**3 + 1432 + 3*t - 1435)*(-t - 1 - 5 + 5).\nAnswer: 19*t**4 + 19*t**3 - 3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-396)\/187 - -2 - 32\/17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + 2*p)*(-10 + 10 - 4*p + (2 - 1 - 2)*(-2*p + 5*p - 4*p) - 11*p - 357 + 357).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 6:30 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = 106673 + 119119. What is y rounded to the nearest one hundred?\nAnswer: -10800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:18 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + t**2 - t + 58. Let f(k) = k**2 - 2*k. Let o be f(2). Does 29 divide x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 8*h**2 - 6*h + 10. Let f be g(9). Let q = f + -34. Suppose 2*j - 64 = 2*k, -q*k - k = 2*j - 34. What is the remainder when j is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -9*k - 2. Let h be s(-1). Solve 17 = -z - 4*b, h*z - 5*b - 40 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140 - -35042?\nAnswer: 34502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536177716 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*g - 280 = 0, 0 = t + 3*g - 67 - 23. Suppose s = 3*x - 93, -3*x + 3*s = s - t. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -743 and -743 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -756*i**3*j**2*u**3 + 41*i**3*u**3 - i**2*j**2*u**3 - 1570*i**2*j**2*u**2 + 2*i**2*j - 5*i*j**2 + 2*j**2*u**3 wrt i?\nAnswer: -4536*j**2*u**3 + 246*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25213 is divided by 2730.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 419?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8739\/277774 or 0?\nAnswer: -8739\/277774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 10*a**2 - 25*a - 1. Let c be g(12). Sort c, -32, 4 in increasing order.\nAnswer: -32, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25488646 is divided by 411107.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 43, 1 in decreasing order.\nAnswer: 43, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -14. Let r be (-436)\/(-20) - t\/20. Let c be 12\/8*4\/3. Solve x - 18 = 5*x + c*k, -r = x + 4*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 253, 1\/3, -4?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003350119 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k - 1396 = -1132 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 16*a + 2*f + 1366, 14*f + 1810 = 4*a. Calculate the greatest common divisor of 1634 and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 312*54\/(-8748) - 2\/27.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j + 51. Let b(c) = -19*c - 151. Give 2*b(l) + 7*x(l).\nAnswer: 4*l + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*b - 3*b + 2*y, 3*y = 5*b - 60. Solve b = i - 0*f + 5*f, -16 = -5*i + 4*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3109135512 to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9392 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + 90*u**2 - 5*u + 6. Let s be b(-4). Solve -s*q + 12 = -1341*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2419886529?\nAnswer: 3, 359, 421, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2544\/91 or 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**5\/80 - 35*h**4\/48 - 12*h**3 + 81*h**2\/2 - 14*h - 24. What is y in b(y) = 0?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 117488223 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4906 - -1 - 0\/(-3 - -4). Let c = -3502 + j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiiyyyyyyyyi. What is prob of sequence iyyi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 3*n**2 + n**2)*(3*n - 5*n + 4*n) + (-14*n - 15 + 15)*(n**2 - 2 + 2) - n**2 + 14*n + 1 - 26*n + n**3 + 11*n.\nAnswer: -15*n**3 - n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 917028 and 189.\nAnswer: 917028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89*c*s**2 + 349*s**2 wrt c.\nAnswer: -89*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 714077 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-3)*12\/72)\/(-3))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-8)\/42*3\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6504883 rounded to one decimal place?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 20 - 8. Let v be (-57)\/((-9)\/3) + t. Suppose -3*c + 2*l = 3*l - 86, 3*c = -3*l + 78. Calculate the highest common factor of c and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 51.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -22*m**2 - 2*m. Let z(y) = 388*y**2. What is b(z(h))?\nAnswer: -3311968*h**4 - 776*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 156 + -139. Let v = -16.9997 + o. Round v to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 34*o**3 + 5 + 4*o - 12*o**3 - o + 44*o**3. Let c(v) = v**3 - v**2 - v - 1. Let k(s) = -s - 1. Let d be k(-2). Give d*q(m) + 3*c(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 2*s**2 - s**3)*(384*s - 384*s - 38*s**2) - 9*s**5 - 51*s**4 + 0*s**5 + 51*s**4.\nAnswer: 29*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2501 + 14230535?\nAnswer: 14224034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6241609 + 0?\nAnswer: 6241609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208 + 370. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7230 or 7231?\nAnswer: 7230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32152, 64303, 96454, 128605?\n\"Answer: 32151*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from zoooozoxoxzz.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -25940511.\nAnswer: 103762044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 1\/294, 2, -1.8, 3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3811*b**5 + 5932*b**2.\nAnswer: 228660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4444*h**4 + h**3 - h**2 - 82642.\nAnswer: -17776*h**3 + 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 2417411\nAnswer: 966964.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13314 = 4*w, -3*w - 4*j + j + 9987 = 0. Suppose 9*r = 22*r - w. Is r a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + 5. Calculate the highest common divisor of 931 and q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 40 = -0. What is the nearest to -0.1 in s, 1\/2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -141?\nAnswer: -10\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 5:12 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -23*z**2 - 159*z - 129. Give r(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168 - 145) + (-23 - 2) + 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*5\/((-420)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -720.736351 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*t + 13 = t, 3*t - 21 = -3*r. Let p be (-696)\/(-88) + r\/22. Solve 5*m - 25 - 6 = -4*q, -2*q + p = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -45 + -57*26\/39.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.41 - 1.31. Which is smaller: d or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**3 + 4*c**2 + 15*c - 7. Let s(x) = 2*x**3 + x**2 + 4*x - 2. What is -6*h(v) + 22*s(v)?\nAnswer: 2*v**3 - 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17644 + 7725 = -835*r - 17394 + 5188 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3923378345 to the nearest 1000000.\nAnswer: -3923000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*c**2*h - c**2*j - c**2 - 2*c*h**3*j - 4*h**4 - 4*j wrt h?\nAnswer: 6*c**2 - 6*c*h**2*j - 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - 0.7. Let n = 3.7 - 3.9. Which is the third smallest value? (a) n (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - -23. What is the common denominator of n and 85\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2142 is divided by 2074?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 2*p + 1 - p + 0 - 4 + 11*p. Suppose 3*a = 5*r - 7 + 6, -3*r + 47 = 4*a. Determine g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 21033270.\nAnswer: 21033270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1537529911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -4*x. Solve 4*u + n - 8 = 0, 3*u - 11 = -x*n + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/140 + 27\/7. Solve 7*n + 12 = a*n - 5*x, 2*n + 8 = 5*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 + 23*j**4 + 11*j**4 + (-13*j**2 + 3*j**3 + 13*j**2)*(3*j - 6*j + 2*j).\nAnswer: 34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 5*l**2 + 3. Let n be w(4). Let p(g) = 21*g - 12. Let y be p(n). Let k = y + 404. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-16)*(14\/21)\/(3\/(-9)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 26 = h, 26*t + 34*t - 52*t - 2*h = 104 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**4 - 3756*z**3 + 188738*z**2 + 803820*z + 611325 = 0.\nAnswer: -3, -1, 55, 3705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*g**4 - 2*g - 17*g**4 + 18*g**4 + 0*g**2 - 3*g**2 as f*g**4 + n*g + r + a*g**3 + z*g**2 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2748 + 1416 + 1467)*(2 + 1 - 4)*(a**2 - 2 + 2) to i*a**2 + d + o*a and give i.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a + 3*a - 2*a)*(-1 + 1 - 1) + 3*a + 0*a + 0*a)*(9*a - 10*a + 15 - 5).\nAnswer: -5*a**2 + 50*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8500 = -156*f + 656*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10534 = -4*l - b, 5*b = -2*l + 5256. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2864910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 624 - 600 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 100. Solve a*m = -14 - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804 = 48*j + 75*j + 41*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**6 + 2*d**4 + d**3 + 1. Let b(t) = -129*t**6 - 12*t**4 - 6*t**3 + 9*t**2 - 6. Let v(u) = b(u) + 6*n(u). Find the third derivative of v(h) wrt h.\nAnswer: -14760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2. Suppose 3*p + 0*p + 3 = 0. Let c(n) = -1. Let v = -37 + 34. Let g(h) = -7*h + 3. Let t(l) = p*g(l) + v*c(l). Calculate y(t(b)).\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11700940, 11700934, 11700928, 11700922, 11700916, 11700910?\nAnswer: 11700904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.0531039.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18222127 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 643 a factor of 30100116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*t + 1094 + 238. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-9 + -6 + 8) - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.073 + 7.973. What is z rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, -1, -29, -69, -121, -185?\n\"Answer: -6*v**2 + 2*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 660*s + 16807. Give d(25).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(45)\/(sqrt(1296) - -2*sqrt(1296))*-2)**2 - -5*sqrt(5)*1*6*2).\nAnswer: 5\/162 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112 - -3) + 3 - (13 - (12 + -47 + 61)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-570)\/(-228) + 164\/(-72).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 39. Suppose r = -v*a + 718, -2*a = a + 5*r - 1077. Let i = -188 + a. Is 38 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 - 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -390737\/100 + 3907. Calculate the common denominator of t and 39\/10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 105594548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13001043 + 32?\nAnswer: 13001130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22, -3, -5, 5, -784, -2 in decreasing order.\nAnswer: 22, 5, 4, -2, -3, -5, -784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28932 - 28940. Which is the closest to 0.1? (a) 1 (b) -2\/13 (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110938093?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 47*o = -290 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 43914.\nAnswer: -1\/7319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3*g = -30, -3*g + 7*g - 15 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -225, -87, 293 in decreasing order.\nAnswer: 293, -87, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**4*m - 8*a**3*m**2 - 2*a*m - 207*m**2 wrt a?\nAnswer: -60*a**2*m - 48*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 1 + 1 + (0*g - 4*g + 3*g)*(-g + 4*g - 5*g) + g**2 + 2*g**2 + 0*g**2 + 10*g**2 - 104 + 104.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 5.3\nAnswer: 0.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13793 + -11960. Calculate the greatest common factor of 819 and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9180 divided by -540\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, a: 1, y: 3, d: 5}. What is prob of sequence ys?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-2)*2\/4. Suppose l + 2 = b, -4*b = s*l - 0*b - 24. Solve -r = -z + l - 5, -5*r = -z - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2890495 and 20.\nAnswer: 11561980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131162733 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*c + 584, 2*q + 718 = -9*c + 14*c. What is the remainder when c is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/((b*b\/(b\/(b\/(b\/b**(-3\/8)))*b))\/b))\/b)*b**(-1\/6)*b)\/(b\/b**(2\/7))**(1\/26)*(b**(-1\/3)*b\/b**(-7))**12 assuming b is positive.\nAnswer: b**(201869\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-5)*x\/((x**(3\/5)\/x)\/x)*(x*x**(-22\/5)*x*x)**(-19) assuming x is positive.\nAnswer: x**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 368 = -4*b, 5 = 5*b - 5. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -h. Let v = h + -1. Let y(f) = -3 - 5 + 3*f - 9*f**3 - 5*f + 4*f + 10*f**3 - 7*f**2. What is y(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321254 (base 6) to base 5\nAnswer: 1314432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -0.1. Let a = -3\/31 + -13\/186. Let l = -1372.5 - -1370.5. What is the smallest value in l, z, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -607, -2508, -5701, -10180, -15939?\n\"Answer: y**3 - 652*y**2 + 48*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 12:05 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -59. Is 6 + (-643)\/(-2 - f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 4*f + 2*f)*(-2*f - f + 2*f) - f - 3*f**2 + f + 0*f**2 + f**2 + 0*f**2 - 74 + 1342*f - 4*f**2 - 1342*f.\nAnswer: -7*f**2 - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/20 and -97\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111461, -222929, -334397, -445865?\nAnswer: -557333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -15*i + 8. Suppose -3*l + 30 = -5*t, 5*l = 2*l. Sort i, t, 0, -4.\nAnswer: t, -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142628695 + 142628695 - 5*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18370985 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 + 51*g**2 + 86*g - 409. What is s(19)?\nAnswer: -941","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 6820?\nAnswer: 61380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 185003?\nAnswer: 185003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12607823.43+-771\nAnswer: 12607052.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-39)\/(-12) - 3\/(-4). Let u be a\/4 + (-6)\/(-2). Solve 0 = 5*l - 4*o - 13, 0 = 5*l - o - u - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2. Let w(d) = 3*d**2 + 18. Let a(s) = -2*t(s) - w(s). Let j be a(9). Let y = 101 + j. Solve -2 = 2*f + 2*z - 6, y = -z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21724, -2, -1, 2, 0 in decreasing order.\nAnswer: 21724, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 1494 - 1476 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(6\/5))**39*(h*h**(1\/8))**(7\/5) assuming h is positive.\nAnswer: h**(699\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + ((sqrt(684)*-2 + -3)**2 - ((sqrt(684) + 0 + sqrt(684))*6)**2).\nAnswer: -95750 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37838153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/22556 and -55\/8.\nAnswer: 45112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 11608*k + 34815.\nAnswer: (k - 11605)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2061 (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - a + 40, a + a + 40 = -2*o. Let c be 22 - o\/((-20)\/4). Which is greater: -1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 343138\nAnswer: -1\/343138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 3*o**2 - o + 1. Let z be s(-3). Suppose -a - z + 3 = 0. Let k(x) = -5*x**2 + x. Give k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -27. Let m be r\/(-60) - 5\/(-20). Sort 0, m, -2\/7.\nAnswer: -2\/7, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23249 = -897*l + 9354 - 4796 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 931.97 - 936. Let n = o - -4. What is n rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2560?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4799153*b**3*n + 9*b**3 - 502*b**2 + 9*b - 2 wrt n?\nAnswer: -4799153*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 2:56 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3938.9 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 901031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 104, 30*t + 46 = 20*w + 29*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89, -498, -1627, -3836, -7485, -12934?\n\"Answer: -60*g**3 + 11*g - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 + 26 = 84*h + 13. Which is smaller: -1\/4929 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 165*u**2 - 62*u + 37845. Determine x(166).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -325 - -322. What is the second biggest value in h, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by 93205.\nAnswer: 55\/18641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 1. Let x(r) = -8*r + 4. Suppose -24*i = -0 + 72. Calculate i*d(y) - x(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-235)\/(43\/(-13) - -2). Let x = z + -81273\/476. Let i = x - 37\/4. What is the third biggest value in 3, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 6*x - 15*x + 14*x**2 + 29*x.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - 2*s + 2*s + 0*s + 5 as p*s + w and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-5 + 8 + -1). What are the prime factors of (-25)\/a*((-512)\/(-5) + -6)?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 = -3*g - 527. Suppose -3*q + 3*z = -2100, 4*z + 4 = 2*z. Let n = g + q. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + 1171*c - 581*c + 0 - 581*c + 2 + c**2 as a*c + i*c**3 + u*c**2 + k*c**4 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -10\/7 (b) -2\/21 (c) 5 (d) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:51 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 932.577208 + -2.\nAnswer: 930.577208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 + 419. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 87 = -3*w, -2*k - 21 = 84*w - 83*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-293*f**4 - 982*f**2 + 1975*f**2 - 993*f**2)*(-1 - 1 - 1).\nAnswer: 879*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 9. Suppose 0*k + 2*k - 2 = 0. Let q be (k\/(-2))\/(1\/(-4)). Suppose v - 2 - 2 = 4*p, -2*p = q*v + 2. Give u(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*c + 168 = 158*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*d = 57, p - 15 = 6*d - 4*d. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 11. Let w(v) = -v + 6. Let l(a) = -3*u(a) - 7*w(a). Calculate l(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + 5*sqrt(21)\/sqrt(7))**2 + (2 + sqrt(108) + sqrt(108) + -4)*-6.\nAnswer: -132*sqrt(3) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1676 and 1175796124.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-21) + 40\/(-42). Suppose -5 = f + y, 2*f + 4*y = 4*f - 14. Does q = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 747 by 13.\nAnswer: 747\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 8 = 5*s. Let y = -1026\/5 - -11276\/55. Let h be 10\/(-8)*(-2)\/10. Put h, y, s in descending order.\nAnswer: h, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 4)*(r - 3 + 3).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-20 - 1 - (-12 - -4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, c: 3}. Give prob of picking 3 h.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11142 + 11151. Sort v, 5, 115 in increasing order.\nAnswer: 5, v, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 595*w + 113089. Let k be d(-190). Let y = -65 - -312. Calculate the highest common factor of k and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 2*w + 28*m + 38, 4*w - 30 = 2*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 x when three letters picked without replacement from {x: 1, y: 4, p: 2, g: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -12*s + 6. Suppose 27 - 7 = 5*q. Let w be c(q). Let k = -27 - w. Calculate the remainder when 43 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 times 4865011?\nAnswer: 2198984972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**9\/3024 + y**6\/120 + y**3\/2 - 3*y. Let z(q) be the second derivative of n(q). Find the third derivative of z(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 76*u**2 - 2*u. Let x(y) = y**3 - 13*y**2 + y - 11. Let c be x(13). Let k(p) = -20*p**c - 13*p**2 + 32*p**2. What is k(q(m))?\nAnswer: -5776*m**4 + 304*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2732020291 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*i + 7388*h - 7393*h = 3151, -4*i - 105 = h for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -964*v**3 - 53*v**2 - 263*v + 24. Let m be p(-7). What is m rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000133069283 rounded to 7 decimal places?\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5))**(-40)\/(x\/(x*x**(-2\/9)))**(7\/5))**(-26) assuming x is positive.\nAnswer: x**(-233636\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) -0.1513713 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89cd83 (base 14) to base 11.\nAnswer: -270a116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*o**4 + 111*o**4 + 6*o**2 + o**2 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/15)\/((-9)\/108)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**6\/15 + 4*o**5\/5 - 53*o. Let a(z) = 0. Calculate z.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3992 divided by 2\nAnswer: -1996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10*k + 14 = 0. Which is the biggest value? (a) -0.04 (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Let z(l) = 85*l - 42*l - 38*l + 2*l**2 - 6 - l**2. Is z(p) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v + 7. Let w(i) = -4*i**2 + 5*i - 247. Let m(l) = 5*u(l) - w(l). Differentiate m(x) wrt x.\nAnswer: -15*x**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12.094. Let d = f + 0.394. Let n = -0.3 - -0.1. What is the nearest to n in 0.4, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.81 - -38.11. Let l(y) = y**3 + 6*y**2 + 5*y + 3. Let t be l(-5). Is t >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let h(i) = 4*i + 2. Suppose -44 = 7*o - 9. Determine o*s(r) - h(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**4 - 2*f**3 - 25*f**4 + 2 + 7*f**4 + 7*f**4 as a*f**2 + o*f**3 + b*f + i + l*f**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**6)\/b)*b**(-9))\/(((b*b*b\/b**(-1)*b)\/b)\/(b\/(b**1\/b))) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 70\/((-4)\/(-2)) + (-36)\/18.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57125 - 26196. List the prime factors of b.\nAnswer: 157, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (90\/(-40))\/(9\/(-408))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 78845.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 t when four letters picked without replacement from nttnnnnnntnn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3 = 5*z - 2*a + 8, 1359*z - 3*a = 1365*z + 33 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 205 = 73. Let q(w) = 2*w - 44. Let y be q(13). Let j = f + y. What is the remainder when 28 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 671*j - 841 = 651*j + 379. Solve 13*w = -j + 87 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((k + 2*k**2 - k)*(-2 + k + 2) + 498*k - 498*k + 33*k**3)*(-32*k - 50*k + 0*k) as a*k**2 + n + u*k + j*k**4 + i*k**3 and give j.\nAnswer: -2870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*(-44)\/(-6). Solve d + z = -9*y + 4*y, 0 = -5*y + 4*d - 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 782462484 and 17010054?\nAnswer: 782462484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11248 - 2983 = -145*d for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 0*p + 0*p - p. Let o(t) be the second derivative of -7*t**3 - 337*t + 2. Determine o(b(v)).\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 2, 3, -3, 1 in descending order.\nAnswer: 3, 2, 1, -3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23\/(-3))\/((-2)\/(-6)). Let u = -8 - b. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152\/5 + -159\/5. Which is the biggest value? (a) 0.3 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/13)*k\/((k*k**(-1\/21)\/k)\/k)*(k\/(k*k**(-1\/8)\/k))**(-46) assuming k is positive.\nAnswer: k**(-54107\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303423 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2936 and 8.\nAnswer: 2936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*(-4 - (-40)\/15). Let s = j - -26. Let b(p) = -p**3 - p + 8. Let d be b(0). Solve 2*i - 3*i = q - s, -d = -i + q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -64, -132, -198, -262?\n\"Answer: n**2 - 71*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4224*n**2 - 24*n - 9. Let x(a) = -2113*a**2 + 11*a + 4. What is 4*k(q) + 9*x(q)?\nAnswer: -2121*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -3 + -26 + 82?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(180) + -2)**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by 11512.\nAnswer: -13\/1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2637, 2651, 2665?\n\"Answer: 14*p + 2623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 303 + -295. Solve -5*v + 5 = -3*a + 16, -4*a = -t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**(1\/4))**29*(c**(-9\/4))**(7\/10) assuming c is positive.\nAnswer: c**(3127\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 12 = -h, -2*j = -4*h + 2*j + 12. List the prime factors of h\/28 + 2096\/14.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x - 5. Let m be a(-4). Let q = 193 - 189. Suppose 3*c = k + 9, 9*c - 4*c - q = -2*k. Is m less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385, 234, -21.\nAnswer: -385, -21, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115857627\/145443740 - 1\/199238. Let w = j - -1\/292. Let o = 2 + -2. What is the closest to -1 in w, 2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 19 - 54 + 29 + 27 + 138 - 11.\nAnswer: -c + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-9) - (-22)\/(-16)*-2 and 6\/15 - 613\/(-30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 372, -0.1, -177\/293, 0.1 in decreasing order.\nAnswer: 372, 0.1, -0.1, -177\/293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -229*d - 1789 - 7049 - 13316 - 59 for d.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/160 - 31*n**4\/32 + 961*n**3\/16 - 2*n**2. Let d(f) = 0. Calculate f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*g - 5, 2*g = 2*y - 5*y - 18. Suppose -5 = -5*p - 0. Suppose 5*q = -0 - 10. Sort q, p, g in ascending order.\nAnswer: g, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 3*n**2 + 1. What is the least common multiple of v(-3) and (-68)\/(-170) + 76\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -95 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 - w**3 - w**3 + 23*w - 23*w + 14*w**3 + (0 + 2*w + 0)*(3 - 3 - w**2) - 16*w**3 - 31*w**3 + w**3.\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -47?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 22 = 3*u, -5 = -n + 8*u + 11 + 8 - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 3)*(-1 + 1 - q) + q + 0*q - 2*q)*(-3*q**2 + 4*q**2 + 0*q**2).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2596\/9086 + 1\/(-28))*(-3)\/24*3.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*i + 2 + (-4 + 2 - 2)*(0*i + 4*i - 3*i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1906 and -47.56.\nAnswer: -1953.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 6:25 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5574 less than 0.17520968?\nAnswer: 5574.17520968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*t = 286*t + g + 2, 4*t = -2*g - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 7, 17, -4 in decreasing order.\nAnswer: 17, 7, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -904.4 + 985. Let h = -90.262 + 0.262. Let a = j + h. Round a to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 40*o**2 - 926*o + 130. Determine k(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -155*o + 47\/6*o**3 + 0 + o**2. Let t(d) = -2*d**2 + 4. Let j(z) = -z**2 + 3. Let v(m) = 4*j(m) - 3*t(m). Determine k(v(x)).\nAnswer: 94*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28471 divided by 5528?\nAnswer: 28471\/5528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 80075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*b - 6894 + 4646 = 8840 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 155100 divided by 6\nAnswer: 25850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7111103, -7111079, -7111037, -7110971, -7110875, -7110743, -7110569?\nAnswer: -7110347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-3*(-3)\/(-18). Let x(a) = a**2 - 2*a - 2. Let s be x(m). Suppose -h - 5*d + 45 = 4*h, 3*h - 7 = d. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/29, -38\/5, 8, 10\/37, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5 + 11. Is n + 6\/6 - -2712 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 8*a + 22. Let l be 292\/(-20) + (-4)\/10. Let z be h(l). Let n be z\/(-9) - (-6)\/(-27). What is the greatest common factor of 54 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -96.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18 - 18) + (-9)\/(-6)*2. Solve j*r - 4*b + 0 = 1, -3 = r - 3*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8267, -0.3, -60 in decreasing order.\nAnswer: 0, -0.3, -60, -8267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5794ed - -18?\nAnswer: 579505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 102, 389, 868, 1539, 2402, 3457, 4704?\n\"Answer: 96*t**2 - t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28018\/9 + 3106. Find the common denominator of k and 67\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*3\/(-2)*(-310)\/(-93). Suppose -3*j - 6*d = -m*d - 6, -j - 12 = 5*d. Solve -j*a - 10 = -4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 21*j + 10. Let l be y(10). Suppose 3*o + 168 = -3*u, 0 = -3*u - o - l + 54. Is u less than -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*o + 132*r - 128*r, 2*o - 12 = -2*r. Solve 5*y + 17 = -2*g, -o*g - 4*y - 45 = -11 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/4)*(p*p**(11\/3)*p)\/p)\/(p**(-2\/7)\/(p**(-2\/27)\/p)) assuming p is positive.\nAnswer: p**(3877\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 3908 = 14*r. Suppose -n - 2*y + 319 = 0, 3*n - r = -0*y - y. List the prime factors of n.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29524*y + 4767405 - 1254049 for y.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 3*n, 3*z + 11 = 5*n. Let j(b) = -b - 8. Let q(m) = m + 9. Let d(t) = z*q(t) + 4*j(t). Give d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5066.9 - -5067. Let f = -18 - -9. Let x be (-6)\/f*(-6)\/14. Sort x, 1, b in decreasing order.\nAnswer: 1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 3, -3 in increasing order.\nAnswer: -69, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*b + 25 = -r, -4*b = 4*r + 40. Let v(m) = -m**2 - 14*m - 22. Give v(r).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 460*h. Let o(m) = -511*m. Let q(t) = -10*c(t) - 9*o(t). Let i(r) = -13292*r. Determine q(i(a)).\nAnswer: 13292*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 15\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1133.00884703 + -153.99126077. Let u = 1287 + h. What is u rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 9) to base 3.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 4. Let v(n) = -n**3 + 5*n**2 - 4*n + 5. Let u be v(4). What is q(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1110*h + 3. Let v(l) = -25532*l - 68. Calculate -136*n(p) - 6*v(p).\nAnswer: 2232*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + -14*(-5)\/(-30)*(-11 - -8). Let j(m) be the second derivative of -1\/2*m**3 - m + 0*m**y + 0. Calculate j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*x**2 + 0*x - 1\/2.\nAnswer: (x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + 0*u)*(6*u + u - 5*u)*(-4 + 2 - 8).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -35 + 11. Let n = -35 + 17. Let l = 23 + n. Solve -l*h - a = -13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 27*i**3 + 249*i**2 + 567*i + 294.\nAnswer: -3*(i - 7)*(i + 1)**2*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.29 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11208 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 17 + 0 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/38 and -65\/38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10243 + -113130?\nAnswer: -102332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-4)*(1 + 1). Let n = -893.431 - -910.431. Which is the second biggest value? (a) 1 (b) n (c) 0.5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*((sqrt(190) + sqrt(190)*-2 - sqrt(190))\/sqrt(10) - sqrt(19)) + -5 + 2 + 1 + sqrt(19) + -4.\nAnswer: -89*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 666 + 129 = 0. Let b be p\/(-5) - (-4)\/20. Let z = b - 21. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18987057, -18987064, -18987075, -18987090, -18987109, -18987132?\n\"Answer: -2*z**2 - z - 18987054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/15 - 994*z\/15 - 21568\/3 = 0 for z.\nAnswer: -337, -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3015 = -90*x - 55*x + 22*x - 78*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 (base 7) in base 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 6. Let p = 116515 + -116416. Calculate the greatest common factor of m and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-292 - -300) + (0 - (0 + 6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101011011011 - 1100001001?\nAnswer: 10011111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -6, -17, -32, -51, -74, -101?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 4. Let g be u(0). Suppose g*f - 7011 = -5*k, -2*f = -4*k + 1183 + 4405. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -506533\/45630 + 4\/4563. Find the common denominator of a and -64\/185.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 3*l + 2, 2*l + 236 = q + 238 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -150, 5\/6, 29?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2914, -11588, -26058, -46324?\nAnswer: -72386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 60 = -17*o + 19*o. Let y(m) be the second derivative of 11*m + 2*m**2 + m**3 + 1\/6*m**o + 0. Factor y(v).\nAnswer: 2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*g**3 + 7*g**3 + 2 + 6334*g - 2 - 6335*g + 7*g**3.\nAnswer: 100*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63041, -124448, -185855, -247262, -308669, -370076?\nAnswer: -431483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - b**3 - 8 + 1 - b**3 + 3 to o + q*b**2 + y*b**3 + d*b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -3\/5, 2\/3, -0.5, -1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 plus -0.1870028?\nAnswer: 1.7129972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 8*g + 40, -2*g - 10 = 2*i - 12. Let d(v) be the first derivative of -1\/10*v**i + 0*v**2 + 0*v**3 + 2\/25*v**5 - 9 + 0*v. What is q in d(q) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152 >= 0.004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**5\/120 - r**4\/8 + 5*r**3\/12 + 25*r**2\/12 - 222*r + 233. Let j(i) be the first derivative of z(i). Factor j(c).\nAnswer: (c - 5)**2*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805731.\nAnswer: 3, 491, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2\/2 + 7683*g\/2 + 113895 = 0. What is g?\nAnswer: -2531, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 9.3. Let v = 60 + -59.8. Let y = c - v. What is the closest to -1 in 2\/9, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) 5 (c) 0.4 (d) -5 (e) -1377.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-37 - -35)\/(15\/(-63)). Factor -3\/5*v**2 + y*v - 147\/5.\nAnswer: -3*(v - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 4*m + 2. Suppose 0*d = 2*d + 3*x - 19, d - 27 = -5*x. Let l be f(d). Let t be -5 + l + 46\/18. What is the biggest value in t, -3\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14 and -2999320.4404.\nAnswer: -2999320.3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 352327 or 352320?\nAnswer: 352320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-5)*385\/154. Let k = -31.2 - -31.7. Which is the smallest value? (a) -1\/40 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 12) to base 4.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1110\/(-31968))\/(-5*(-1)\/(-3)).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -36 - 6\/(-3 - -6). Let j = p + 178. Let z be (6 + 5 + -12)*(0 - 280\/5). What is the greatest common divisor of z and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 18689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344098 days in seconds?\nAnswer: 29730.0672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54e87 + -5c?\nAnswer: -54ee4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2954089, 2954088, 2954087, 2954086?\nAnswer: 2954085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*q = -11 - 17, 0 = 2*a + 4*q + 12. What is v in 0*v**a + 0 + 2\/3*v**3 + 0*v - 2\/3*v**5 + 0*v**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452685 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/12 + 5*r**2\/2 - 2*r. Let p(k) = 7*k**2 - 1. Let s be p(-1). Suppose s*h - h - 4*h = 0. Give w(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/100 and -58\/75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -312, -326, -324, -300, -248?\n\"Answer: p**3 + 2*p**2 - 27*p - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.777055 to 2 dps.\nAnswer: 3.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/7 + 1899736*y**2\/7 + 11398524*y\/7 + 17097840\/7.\nAnswer: -4*(y - 474940)*(y + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 163\/5 (b) 721 (c) -1\/6 (d) -266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + k - 2 = 0, 3*o - 1 + 4 = -4*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d**5 - 74*d**4 - 9568*d**3 - d - 170124 wrt d.\nAnswer: -120*d**3 - 888*d**2 - 57408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*s**2 + 741*s - 24 = 0 for s.\nAnswer: -8, 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -130*c + 135*c + 36, 4*g + c = 60 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 27*c = -108*c + 258. Solve 9*r = 12*r + 5*p + 10, -3*r + c = -p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = -6. Let z(j) = -j - 1. Let o(m) = m**2 - 8*m. Let i(l) = c*o(l) - 12*z(l). Factor i(q).\nAnswer: 3*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by -85889.\nAnswer: -312\/85889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(1\/(-12)*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 26437203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*b - 2*q - 4, -13 = -5*b + q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20849076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 21267200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -335, -649, -939, -1199, -1423, -1605, -1739, -1819?\n\"Answer: s**3 + 6*s**2 - 339*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -20*i. Let z(s) = -7*s**2. What is k(z(a))?\nAnswer: 140*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(252)*2 - sqrt(252)) + 4 + (sqrt(252) - (-1*sqrt(252) + -1) - (sqrt(252) + sqrt(252) + -1)*-2))*-2.\nAnswer: -84*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -147104*n + 272. Let p = -381 + 374. Let g be v(p). Round g to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-10)*(-80)\/24. Factor -3*m - 2*m**2 - 2 + 3*m + 0 + g*m.\nAnswer: -2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {t: 5, v: 2, a: 6, i: 1, x: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 385860 and 2700.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*r**2 + (-r + r + 6*r)*(0*r + 7*r - 3*r) - 9 - 5*r**2 + 9 - 2*r**2 - 4*r**2 + 4*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 - 120. Suppose q*n = 8*n + 92. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*h = 838*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 40*j**2 + 13. Let n(d) = 3 + 14 + 9 - 3*d**2 + 83*d**2. Let l(c) = 6*n(c) - 13*s(c). What is the derivative of l(g) wrt g?\nAnswer: -80*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-60)\/800))\/(45\/(-108))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1495?\nAnswer: -1497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27153151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x**3 + 5*x**3 - 8*x**3.\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456818509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(28)\/(sqrt(28)\/sqrt(7)*4)*-3)**2.\nAnswer: -315\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 + 10*t**4 - 79*t**4 + (3 - 3 + t)*(-2*t**3 + 3*t**3 + 0*t**3).\nAnswer: -67*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4617*f - 18538. Give k(4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1647 divided by 49338.\nAnswer: -183\/5482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 0)*(4*s**2 - 4*s**2 + 9*s**2) - 4*s**2 - 4*s**2 + 6*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 8) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 27104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -315656 - 2*g**2 + 156555 + 155101 + g + (-2 - 1 + 5)*(-g**2 - 2 + 2) + 2*g**2 + 0*g**2 - 4*g**2 as w*g + z*g**2 + r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {r: 1, v: 5, y: 2, o: 1, h: 1, s: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3088*u + 3089*u + 1 = g, 4*g + 26 = -2*u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 38. Suppose t + t - 8 = h, o*h + 4*t = 30. Let n(y) = 9*y**2 + 14*y**2 - 21*y**h. Let m(r) = -2*r. Calculate m(n(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1690, 3457, 5224, 6991, 8758?\nAnswer: 10525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -2, 4, 73, -5 in decreasing order.\nAnswer: 73, 4, -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 2. Let g(k) be the second derivative of -k**5\/20 + k**4\/12 - k. Let f be ((-10)\/15)\/(1\/(-3)). Let b be g(f). Determine h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 3*n**2 - 2*n - 4. Let j be q(-3). Let t(m) = j*m + 9 - 9. Let f = 16 + -23. Let g(z) = -z. What is f*g(l) - 3*t(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/12 - (-6)\/(-24)*-38. Solve -c*u = -31 + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-7)*((-6)\/(-2))\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-4)\/2 + 17\/(323\/(-38)). Put j, 11, 3, -4, 1 in increasing order.\nAnswer: -4, j, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25 - 12.25. Sort -1\/3, -1, q, 4.\nAnswer: q, -1, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (542\/(-11))\/(318\/(-1749)). Solve -g = 5*i - 251 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-3)\/(-3) + -2). Let i be w\/((-2)\/7)*2. Suppose -5 = -p + i. Calculate the least common multiple of 14 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 11. Let g be a(7). Let y be 178\/42 - 0 - g\/54. Factor y*f**2 + 4\/7*f**4 - 20\/7*f**3 + 0 - 16\/7*f.\nAnswer: 4*f*(f - 2)**2*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 4*r + 5*a - 406, -2*r - 3*a = -148. Let w be -22*((-3)\/2 - -1). Calculate the highest common divisor of r and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1\/3*(-438)\/(-73)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1872) + 0 - sqrt(1872)) - sqrt(1872))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3 + 3. Solve k = -g - 5*h, 5*g + 3 - 23 = 5*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 180*x**2 - 148*x wrt x.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97825 and 2925.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*q**2 - 3)*(-4*q - 134 - 37*q + 133).\nAnswer: 82*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20266 - -20909. Calculate the remainder when l is divided by 249.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 16115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - t + 5*t + 51 = 7*t - 2*t + 2*t, -21*t = -4*c - 32 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 4*w + 33, 58859*w - 58856*w - 23 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 - 21 = 0. Let p be 2\/8 - 7\/j. Find the common denominator of -35\/11 and (p\/(-1) + 3)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -24*u**4 - 82*u**3 - 66*u**2 - 8*u - 2. Let x(o) = o**4 - o**2 - 1. Let j(n) = -2*b(n) + 4*x(n). Let j(a) = 0. What is a?\nAnswer: -2, -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*t + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/4))**(-7\/6)\/(p**(-1\/2)\/p**(-4\/3)))\/(p**(-1\/5)*p**(1\/8))**(-11\/4) assuming p is positive.\nAnswer: p**(-1199\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1134 and 723.\nAnswer: -819882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from cjjccjcd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 203 = 26*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 3*q**4\/10 + 16*q**3\/15 + 4*q**2\/5 + 55. Solve u(h) = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(50) + sqrt(50)*1))\/(sqrt(2) + -6*sqrt(18)))\/(1*sqrt(720)*-2*6).\nAnswer: sqrt(5)\/1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 47.6636 nanometers?\nAnswer: 0.0000476636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40302?\nAnswer: 2, 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 11*j = 423. Let x = -18 - j. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -146695, -146697, -146699, -146701, -146703?\n\"Answer: -2*b - 146693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hggqii. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12239429966 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 35 = 4*d. Let v = d + 7. Let o be (44\/156)\/11*-6. Which is the smallest value? (a) o (b) v (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1127 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 14.8. What is the nearest to 2 in -0.5, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-61)\/2*-2)\/((-8)\/(-24)). Let v = n - 107. Does 38 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -65. Suppose -p + 2*p - 5*a - m = 0, 0 = 3*p - 5*a - 91. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/20 + (-1)\/4. Let i be 66 - r*3\/(-9). Let d = i + -11. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhn when three letters picked without replacement from nnhhhnhhnhhnh.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**2 - 8*p**2 + 10*p**2)*(-5*p + 2*p + 4*p)*(-3 - 3*p + 3)*(17 + 1 - 3)*(-p - 3*p + 3*p).\nAnswer: 540*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13199 + 8*i - 13199. Let v(c) = 0*c - 10*c - 2*c. Let g(q) = -8*n(q) - 5*v(q). Let y(b) = 8*b. Calculate g(y(u)).\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/34 - 31\/102. Let b = -5790 - -5793. Put 79, q, b, 2 in descending order.\nAnswer: 79, b, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*j = 4*n + 16, -10 = 4*n - j. Let r(h) = -2*h**3 - 2*h**2 - 3*h - 1. What is the remainder when 24 is divided by r(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000788958 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24103, 19044, 13985, 8926?\nAnswer: 3867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1992 and 664?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -125 (c) 0.01 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 5*p + 4. Let h be k(5). Let n = h + 0. Solve 5*f - 1 - n = 0, -3*f = -y - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 51447*k**2 - 565608*k + 925452.\nAnswer: -3*(k - 17138)*(k - 9)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 321945.\nAnswer: 965835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 26358.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnll when four letters picked without replacement from lnlnllll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*n = -203*n + 1440. What is the remainder when 858 is divided by n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 f, and 2 b when four letters picked without replacement from fffffbzfbzfflfzf?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 0*d**4 + 3\/5*d**5 + 0*d**3 - 2 - 3\/2*d**2 + 0*d. Find the second derivative of b(p) wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 4*a**2 - 2*a - 5. Let u(f) = -f**3 - 5*f**2 + 3*f + 4. Let t(n) = -2*p(n) - 3*u(n). Suppose 2528*h = 2551*h - 138. Give t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -17, 105, 0.3, 0.1, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823944 divided by -1411972?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1317 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 40*m**2 - 19*m + 17. What is the units digit of q(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a factor of 197237880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -10*j**5 + 44265*j**4 - 37974380*j**3 - 25629430875*j**2 + 38510518500*j - 12843157500 = 0.\nAnswer: -435, 1\/2, 1, 2430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79140689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.267 and 155.464?\nAnswer: 352.436888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f + 34027 = 57*f - o, 16 = -4*o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + x = 65, -3*l - 4*x + 2 - 94 = 0 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -332808 divided by 6\nAnswer: -55468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2273?\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 143351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1508938 grams to nanograms.\nAnswer: 150893800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(21\/(-28)*4\/6). Let f(b) = -b**3 + 12*b**2 + 2*b - 7. What is the remainder when f(c) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 5\/6 (c) -1 (d) -5 (e) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13413? (a) -5 (b) -1 (c) 0 (d) 1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.82, 6, -54, -1\/143 in ascending order.\nAnswer: -54, -1\/143, 1.82, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/5 + 64*h**4 + 4616*h**3\/5 - 732156*h**2\/5 + 695574*h\/5 + 4351644\/5 = 0 for h.\nAnswer: -99, -2, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/9, 1\/64, 2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 - (-3 + 1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u - 7. Let f be q(8). Let v = -2 + f. Calculate the remainder when -11 - -1 - (-14 + -117) is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -2)*0 - (-22)\/11. Let h(g) = 11*g - 6. Let l be h(s). What is the highest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1148 = -5*v. Suppose -2*w - 5*n = -v, 0 = 4*n + n + 10. List the prime factors of w.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 3\/4, 1\/3, -2\/67, 260?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1406\/9 + -156. Let v = 50.2 + -28.1. Let j = v - 22. What is the closest to j in 0.5, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -253*z. Let f(i) = 2*i + 1. What is -4*f(l) + w(l)?\nAnswer: -261*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q + 2. Let d be n(2). Let m be ((-3)\/2)\/((-2)\/d). Solve m = -4*h + h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145808?\nAnswer: 2, 3, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q + 3*t = 1725, -3*t = 2*q - 867. Let c = q + -426. Solve -3*h - 9 + 0 = -3*x, -c*x = -5*h - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*k + 69540 = k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1421861859 to the nearest integer?\nAnswer: 37708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w + 102 = 20*w. Let f = 8 - w. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*d - 2*q, 2 - 8 = 2*q. Suppose 7*s - 2*s - 55 = d. Find the third derivative of s*y**2 - 9*y**2 - 21*y**5 - 25*y**2 wrt y.\nAnswer: -1260*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -128\/6533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5085786 is divided by 2542805.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 5*t - 11. Let g(c) = 4109*c - 28752. Let q be g(7). What is the highest common divisor of q and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 504 - 798. Let z = 181 + p. Let x = -112.9999985 - z. What is x rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2686, 5163, 7640, 10117, 12594?\nAnswer: 15071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2605, -10713, -24239, -43189, -67569, -97385, -132643?\nAnswer: -173349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -16. Let n = 0.01 + -0.01. Let f be 8\/(-30) + 2\/5. What is the nearest to 0.1 in n, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134000 (base 7) to base 10\nAnswer: -25382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*x = -0*x + 194626 + 171208. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(50))**2 + -1 - (3*sqrt(1620))\/sqrt(10).\nAnswer: -27*sqrt(2) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 394497 and 10260?\nAnswer: 7889940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -110*x - 9961. Give h(-86).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3131312313 (base 4) to base 8.\nAnswer: -3356667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-5))\/9*(-15)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-27)*(27 + 0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -851.532 rounded to 0 dps?\nAnswer: -852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -136.06 (c) 25 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(117)*-4)\/(sqrt(441) + (sqrt(441) - sqrt(441)*1)) + 0.\nAnswer: 4*sqrt(13)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 86 = -5*r, -o + 5 = 5*r - 9. Suppose -2*v - 5*c + 41 = -o, c = 3*v - 123. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/(-378) - 4\/36\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9291*v - 1746 + 9291*v + 551*v**4 - 308 with respect to v.\nAnswer: 2204*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -494 and -9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*c - 2*j, -17 = -5*c - 5*j + 6*j. Solve 0 = -c*p - 1 + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/7 - 9)*((-65835)\/(-10))\/57.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 1\/5 (c) 2\/35 (d) 1\/4 (e) -4.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 933473?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 6. Let o = -4 - -9. Let n be q(o). Let m(w) be the second derivative of -w**5\/10 - 2*w**2 + 1222*w. Let h(k) = -1. Determine n*h(x) - m(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjybyyvbjbbcbbbby. What is prob of sequence bcv?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5\/3 - 6*q**4 + 2*q**3\/3 + 62*q**2\/3 - 26*q + 28\/3 = 0. What is q?\nAnswer: -2, 1, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - (-4367)\/(-1))*(-3 - -2) - 6. What is the greatest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*d**3 - 213*d**2 + 2*d + 20 wrt d?\nAnswer: -72*d - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 4, h: 2, m: 1}. Give prob of picking 2 e.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f + 8. List the prime factors of (-156)\/(-9) + f\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*u - 97, 4*u - 11 = 9*z + 178 - 82 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001798 to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**2 - 19381*y - 11*y**2 + 9705*y + 9676*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 39\/6*(20 + -31)\/33\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 3}. Give prob of sequence cc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(114)*2)\/sqrt(6))**2 - sqrt(19)) + sqrt(2736) + 3)*-5.\nAnswer: -395 - 55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0611 - 0.5611. Which is the closest to -312? (a) -2\/3 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a + 13. Let d(k) be the second derivative of 5*k**4\/12 - 2*k**3\/3 - k**2 - 7*k. What is the remainder when x(3) is divided by d(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 534.7768l?\nAnswer: 534776.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u + 3. Let z be g(6). Suppose 2*w - 1 - z = 0. Suppose 2*k = 6*k + w. Let o(d) = d**3 + 6*d**2 + 4*d - 7. Calculate o(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 6:11 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 13*q**2 - 316*q - 51. Let c be b(26). Sort c, 0, 4 in decreasing order.\nAnswer: c, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/6, 1.5, 1, 2\/3 in ascending order.\nAnswer: 2\/3, 1, 1.5, 25\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 41 = -3*u, -28*u - 5*v + 95 = -9*u - 9*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1064)\/(-770) - 3\/((-165)\/(-10)). What is the fourth smallest value in -743, 1\/12, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80\/7 - 748\/63. Let p = 4 + -4.1. Which is the closest to h? (a) p (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 445273, 445275, 445279, 445285, 445293?\n\"Answer: y**2 - y + 445273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 + 4 = 0. Suppose 2*k - f + o - 11 = 0, 0 = 3*k + 2*f - 1. Suppose -2*u = -4*l + 58, -16 + 49 = 4*l + k*u. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*j**2 - 2*h*j - h - 30*j**2 + 33*j wrt j?\nAnswer: -2*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 65*q**2 - 86*q - 24. Calculate w(-64).\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1474.9 - 1402. Let l = 80.7 - 11.7. Let p = o - l. Round p to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-12)*(-27)\/84.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*g - 3*k, 4*g - 12 = 5*k - 7. Solve 4*s - g*l + 12 = 0, 3*s = -0*l + l - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (27 + -31 - -31) + -94?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9503973 a multiple of 729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1083.11 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 111 + 549. Suppose 5*a + w - 75 = 0. Suppose 5*u = 5, 4*n + 2*u + a*u = 13. Solve -10 = n*h - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21659203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 2 g when four letters picked without replacement from {c: 4, e: 3, p: 2, d: 3, j: 2, g: 2}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 6. Let r be (1 - -2) + m + 51. Let d be 15\/r*(-4)\/6. What is the nearest to -2\/5 in d, 2\/7, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2232*n + 3163 - 2239*n + 4472*n to the form y*n + u and give u.\nAnswer: 3163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -1900\nAnswer: -13300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -86dc (base 15) in base 2?\nAnswer: -110111110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 144.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 44376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g = 4*m - 36, g - 2*m = -42. Suppose 0 = 35*k - 57*k - 1232. Let i = g - k. Solve -d = 3*d + i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 804\/(-18)*-1*3 - -1 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(147) + (4*(sqrt(147) + sqrt(147) + 1) + sqrt(147) - sqrt(147)))**2 + (4*sqrt(147)*4)**2 + (sqrt(147)*3 + -2 - sqrt(147)) + sqrt(147).\nAnswer: -105*sqrt(3) + 49538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knsavvkkckask. What is prob of sequence vvc?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*o - 166, -335 = -o - 3*o + 5*j. Suppose 0 = -16*d - 4*d + o. Factor 0*r**2 + 2\/11*r**3 + 0 + 2\/11*r**5 + 0*r + 4\/11*r**d.\nAnswer: 2*r**3*(r + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.41 - 0.04. Let u = m - -1.5. Let x = -0.05 + u. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*i + 80. Suppose -x - 4*x = -i. Let g = 8 + x. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**5\/60 - 7*p**4\/12 - 5*p**3\/2 + p**2. Let y be (-1 - (3\/(-2) - -1))*26. Let x be u(y). Which is bigger: -8\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.7784213 milliseconds in days?\nAnswer: 0.00000015947246875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57393 and -2.\nAnswer: 114786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -2\/3, -2\/609?\nAnswer: -2\/609","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13013\/(-572))\/((-42)\/(-48)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*g**2 - 111*g + 110*g**2 - 237*g**2 - 113*g + 224*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -15*u + 19. Let f(v) = 7*v - 9. Let n(g) = -13*f(g) - 6*o(g). Let s be n(-6). Let h be (-2)\/(2\/(-3)) - s. Which is greater: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149481893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -17*f**3 + f**2 + 7*f - 3. Let h(a) = 17*a**3 - 6*a + 2. Let v(b) = 5*h(b) + 4*t(b). Let l be v(2). Let j = -57 + l. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 55.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 + 2. What is t(-2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31291333\/122844 - 14775\/58. What is the common denominator of -41\/4 and v?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 9 = -21. Let g(f) be the third derivative of -f**t + 1\/50*f**5 + 0 + 1\/15*f**3 + 1\/300*f**6 + 1\/20*f**4 + 0*f. Let g(l) = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001951 rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0 + 0)*(u**4 - 4 + 4) + 5*u**5 - 136 - 13*u + 136.\nAnswer: 3*u**5 - 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 + 0.4. Let l = m - 0.042. What is l rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18139 + -17827. Which is smaller: 288 or w?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-35)*n)\/(n\/(n\/(n\/n**(-1\/38)))))\/(n\/n**(-2\/5))**(2\/27) assuming n is positive.\nAnswer: n**(-180217\/5130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 63 = 297. What is the tens digit of 5\/((-15)\/s) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -471 - 35590167209.8\nAnswer: -35590167680.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 22*o**2 - 2*o + 1. Let v be x(1). Suppose 0 = -4*u + u - v. Let q = 21 + u. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/204 and -61\/3.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + -3*-2*sqrt(252)) - ((sqrt(7) - (sqrt(84)*2 + sqrt(84))\/sqrt(12) - sqrt(63)*4)**2 + 2)*-6.\nAnswer: 36*sqrt(7) + 8239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 5*q**4 - 2*q**4 + (5*q**2 - q**2 - q**2)*(0 + 0 - 2*q**2).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452184.\nAnswer: 2, 7, 43789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32478934, -32478936, -32478938, -32478940?\nAnswer: -32478942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-20) - ((-2435)\/(-150) - 15). What is the fourth smallest value in -1.1, -2, v, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -25*j**3 + 3*j**2. Let m be d(2). Which is smaller: -187 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 836842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 - 106. Let w = 411 + -4518\/11. Sort w, 5, h.\nAnswer: w, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 34\/37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**4 + 9*p**3 + 3*p**2 - 9*p - 6. Let t(h) = 17*h**4 + 17*h**3 + 5*h**2 - 17*h - 11. Let o(y) = -11*n(y) + 6*t(y). Suppose o(l) = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) 2\/201 (c) -2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 2:32 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 1916 = 12228. List the prime factors of k.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -8. Let l be ((-4)\/j)\/(3\/(-9)). Let w(v) = -27*v + 6. Let r be w(l). What is the greatest common divisor of 264 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + -5.2. Let l = -6 - m. What is the nearest to l in 0.4, -3, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5316365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/189, -2\/13, 2\/5, -2\/7?\nAnswer: 4\/189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -100101?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 4*k + 94, 2*t - 2*k + 4*k - 38 = 0. Let s be 3512\/72 - (-4)\/t. Suppose -45 = -l + 5*i, s = l - 0*i - i. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3053 = 168*j - 37*j + 484 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13949094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/24*(-18)\/4. Let y(u) = -26*u - 4. Let w be y(g). Let b = -57 - w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3192 and 2280?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157*o - 2636*o - 1417*o.\nAnswer: -2896*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6457568881*j**4\/3 - 6465122627*j**3 + 22667865*j**2 - 19881*j.\nAnswer: j*(j - 3)*(80359*j - 141)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 300 = 16*d. What are the prime factors of 4238\/d + (-180)\/(-216)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*q + 134*q**2 + 8*q + 1315*q**2 + 5*q in the form y*q**2 + n + i*q and give y.\nAnswer: 1449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1489107 != -1489108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -1\/9, -21, -2\/7, 1.\nAnswer: -21, -2\/7, -1\/9, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 3. Suppose 9*d = 6*d - 15. Let p be f(d). Let c be -2*(p\/8)\/1. Which is bigger: -6 or c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 475850 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 176151028.\nAnswer: 1\/88075514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6885*u - 97334 = -8*u + 47083 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 141*y**2 - 8*y + 4. Is f(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*f + 22. Let r be -3 + f - 42\/(-2). Calculate the greatest common factor of 144 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(((-2484)\/(-1776))\/69).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 29.2. Let w = 2.2 + q. Let k = -115.5 + 116. Which is the nearest to w? (a) 2 (b) k (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 526 - 517. Suppose 0 = -g*c + 77 + 85. What is the highest common divisor of 261 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r - 5. Let t(a) = 3*a**3 - 17*a**2 + 26*a - 5. Let c(j) = -2*t(j) + 6*w(j). Let c(o) = 0. What is o?\nAnswer: -1\/3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a - 44. Let s be o(-8). Solve s + 18 = -6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -53*c. Let l(y) = -11*y. Determine k(l(n)).\nAnswer: 583*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47312 + 63?\nAnswer: -47238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1754 + 1757. Let l(g) = 1. Let c(r) = 6*r - 8. Let u = 11 - 5. Let f(y) = u*l(y) + c(y). Calculate f(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 20315652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.14, 15\/16, 423, 4?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*b - 4*l = 838*b - 14, -5*l + 11 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25431 - 24837. Solve -l*x = -588*x - 36 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-12\/11)*s)\/s)\/s)\/s**(-26))**(-9) assuming s is positive.\nAnswer: s**(-2367\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - (-3*sqrt(77) + sqrt(77) + sqrt(77)))*6)\/sqrt(1100) + (sqrt(175) + (0 + sqrt(175))*6 - (sqrt(112)*-6 + sqrt(28)))**2.\nAnswer: 13*sqrt(7)\/10 + 22743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 876 = -3324. Let x be 3\/5 + 2113716\/u. Let i = 2518 - x. What is the common denominator of i and 65\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.4, -0.3, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/5 + 47204*t - 472036\/5 = 0.\nAnswer: 2, 236018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 - 54. What is the remainder when 55 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -6*x + 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(2500)*-1 - sqrt(2500)))\/(sqrt(5) - (3*sqrt(50))\/sqrt(10) - 3*-3*sqrt(5)) + 0.\nAnswer: -40*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27105, 108362, 243791, 433392, 677165, 975110, 1327227?\n\"Answer: 27086*n**2 - n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u*u**(2\/27)*u)\/(u**(-3\/4)\/u*u*u))\/(u**(-2)\/(u\/(u**0*u))) assuming u is positive.\nAnswer: u**(737\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 183 (b) -11.2 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/12 + 1305\/36. Let y = 42 - u. Solve 5*h + 5 = y*i, 3*i + i - 5*h = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 3*k**2 - 5*k**2)*((k + 2*k - 2*k)*(1 + 2 - 1) + 6*k + 2*k - 3*k - 2*k + 4*k + 0*k).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 60?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.74129914701 - 10.7413. What is g rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -223023 (base 9) to base 11\nAnswer: -91279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007062957 to 6 dps.\nAnswer: 0.007063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12544 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 8576 + 9864 - 1288 - 7*c + c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9095 + 9095. Let x(n) be the third derivative of b*n - 4\/15*n**3 + 7\/30*n**4 + 3\/200*n**6 - 1\/10*n**5 - 8*n**2 + 0. Factor x(o).\nAnswer: (o - 2)*(3*o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1626 - 1624. What is the second biggest value in -15, t, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -169*a*v + 3*a - 15 wrt v?\nAnswer: -169*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5564471256 + 10.\nAnswer: -5564471246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -83613 (base 9) in base 11?\nAnswer: -384a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162469381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1581 and 6018?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 51118682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 164750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-1)\/2)*1. Put 4, t, -4 in descending order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23521 + -23488. What is the second biggest value in -1, j, 92?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -2)*-3.\nAnswer: -9*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3 + 10440*j**2 - 2537421*j - 2547864 = 0.\nAnswer: -1, 264, 3217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -20)*141\/(-329)*2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-754) - (20\/30)\/(29\/(-32))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.7525 rounded to zero dps?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than -0.129?\nAnswer: -13.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 28. Let b(u) = 5*u + 42. Let t(q) = 2*b(q) + 3*g(q). Let j(a) = -45*a**2 - a. Calculate j(t(z)).\nAnswer: -180*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttdrbdqddtddb. What is prob of sequence dtb?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1224, -1315, -1406, -1497, -1588?\n\"Answer: -91*b - 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -1)*(8 - -8). Let s(j) = -j**3 - 16*j**2 - j - 8. Let y be s(r). Let n = 167 + -79. What is the greatest common factor of n and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 37*y - 40*y + y**3 - 2*y**3 + 5*y - 5*y**2 + 3 + 5*y. Let j = -4 + -2. Determine q(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 309771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -607, -2611, -5953, -10633, -16651?\n\"Answer: -669*p**2 + 3*p + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 830.7189ml in litres?\nAnswer: 0.8307189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -40*c**2 + 317*c + 30. Let b be i(8). Solve -3*z - 9 = -3*x + b*x, -4*z = -x - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/15 + (-2 - (-320)\/(-6)). Let b = 197 + d. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.10786 (b) 2\/5 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2*s)*(0 + 0 - 1) - 4*s + 13*s + 4*s + (-2*s - 2 + 2)*(2 + 0 - 1) to a*s + b and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 10607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 300.3956 - -12.8274. Let x = 313 - t. What is x rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665291677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 61\/2 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-4)\/(-16))\/(1\/(-2)). Suppose b = 8*r - 4*r. Suppose -3*v + 3 + 6 = r. Calculate the greatest common divisor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h + 2*s = 8, 2*h + 4 = -2*s. Sort h, 1\/8, 0.\nAnswer: h, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 9 = 3*a, 5*a - 26*d - 161 = -93 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 739 + -738.6. Which is the nearest to 1? (a) p (b) -4.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 7\/(35\/590) - -10?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 4, n: 3, s: 3}. Give prob of sequence kc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g - 2*s = -62*g + 32, 8 = 3*g - 2*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 6*i**2 + 6*i - 6. Let y be b(5). Suppose 29 = -8*o - 3. Put o, 5, y in ascending order.\nAnswer: o, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y - 4*o - 12 = 44*y, 0 = 4*y + 5*o + 22. Suppose 2 + 2 = k. Suppose -3*c = -3*t, 0 = c + k*c - 2*t. Solve m + q = -c*q - 2, -5*q - 3 = -y*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-506)\/(-33)*(54\/4)\/(-3). Put 0, -11, -2, s, -1 in decreasing order.\nAnswer: 0, -1, -2, -11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 22 = -4*l. Suppose 2*h + 3*g = 1 + 1, -l*h = g - 18. Let u be (1 - h)\/((-75)\/10). Are -3 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2009514.03000042 + 2009514.2. Let g = 0.17 - w. What is g rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/(n\/(n*n**33\/n))*(n**(-15))**5)**(1\/2) assuming n is positive.\nAnswer: n**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3141*c**3*l**2 + 6*c**3*l - c**2*l - 2*c*l**2 + 35220*l wrt c.\nAnswer: 18846*l**2 + 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:12 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3\/5, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.465 rounded to one dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 108 = -0. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847546?\nAnswer: 2, 7, 60539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7605 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, -2, 0.2, -44 in ascending order.\nAnswer: -44, -2, 0.2, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2088, 16563, 55872, 132441, 258696, 447063, 709968, 1059837?\n\"Answer: 2071*o**3 - 9*o**2 + 5*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 191 = -133. Let g = 172 + k. Solve -4*h + g = -x + 2*x, -4*x - 5 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50, -223, -398, -575, -754, -935, -1118?\n\"Answer: -p**2 - 170*p + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4684489 - -5a?\nAnswer: -468442b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 222 - 222 + 10*c - 1 + c + 1 + (3*c - 5*c + c)*(-2 + 2 - 1) - 4*c + 4*c + c + c + 2*c - 5*c + 2*c - c + 0*c + (-3*c + c + c)*(-2 + 1 + 0) - 5*c + 1 - 1.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -16 + 45*n - n**3 - 9*n**2 - 7 + 3*n. Solve f(b) = 0 for b.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000047821 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262 + 251 - (1 - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1868543 - 3?\nAnswer: 1868540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 2. Let g = -2 + 0. Let z be f(g). Suppose 0*i - 35 = -z*i - 3*j, 0 = 2*j - 2. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3097*y**2. Let o(b) = 1176*b**2. Give w(o(f)).\nAnswer: -4283076672*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9937.606ml?\nAnswer: 9.937606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 - 3*b**3 + 4*b**2 + (-5*b**2 + 4*b**2 - b**2)*(-5*b + b + b) + 27*b**3 - 1927*b**2 + 1927*b**2 to h + z*b**2 + a*b**3 + t*b and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 - -125. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*p = -44*p + 1600 - 532 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -218 + 69*w + 218 as d*w + q and give d.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66a8 (base 12) to base 11.\nAnswer: -8598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 149064*o**4 + 179832 wrt o?\nAnswer: 596256*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 10. Let b(z) = -z**3 + 18*z**2 + 84*z - 20. Let u(i) = -b(i) - 2*y(i). Solve u(c) = 0.\nAnswer: -4, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8099881311.\nAnswer: 3, 127, 21259531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11980700 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 9*w + 38. Let y be p(-12). Factor -18*o**4 - 66*o**5 + 130*o**5 - 68*o**5 + y*o**4 - 12*o**3.\nAnswer: -4*o**3*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*f + 125*f = 0. Solve -2*t - t + 17 = -2*v, 2*v + 2*t + 2 = f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 442*h**4 - 19*h**3*u - 2*h*u - h + 7*u - 21 wrt h?\nAnswer: 5304*h**2 - 114*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 281567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -700165 divided by -4\nAnswer: 700165\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let r = -16756 + 16756. Solve 4*c + 5*w - 8 = r, c + v*w - 2 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -4, 16, 54, 116, 208?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162 and 57726.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*v**2 - 4040*v**2 + 764*v**2 - 5126*v**2.\nAnswer: -7694*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*s**2 - 10\/3 - 8\/3*s.\nAnswer: 2*(s - 5)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, -245, 47 in increasing order.\nAnswer: -245, -4, 9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 1. Let c be p(-1). Suppose -c = -u - 4. Does 10 divide (-121)\/(-6) + u\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15407697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p - 2*g - 9, 58 = 5*p - g. Let n(t) = -t + 19. What are the prime factors of n(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 3 (c) -6\/353 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62915231 to the power of 1\/2, to the nearest integer?\nAnswer: 7932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*q - 510*q - 78*q + 667*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -180 + 2659. Suppose 8*v - k = 33. What are the prime factors of v?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 28 = 0. Suppose 2*w + 3 = y. Let s(o) = 9 - w*o**2 - o**3 - o - 2 - 2*o**2 + 7*o. Determine s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 1\/8*w**5 - 31*w + 3\/8*w**4 - 1\/2*w**2 - 5\/12*w**3 - 7\/60*w**6 + 0. Solve i(r) = 0 for r.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16937393 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10105021141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646960 is divided by 127?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629668?\nAnswer: 2, 13, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2 + 286*v - 286*v. Let o(a) = 4*a**2. What is l(o(w))?\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 11) in base 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + 5*q + 11. Give a(6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 17 + 3*u - 17. Let n(k) = -7*k. Give f(n(a)).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 2138763 + 841041. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 574 = 580. Solve -n*o - 52 = -46 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -0.5, 0.09, 4, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(-3*sqrt(539))*-5 + -3)**2.\nAnswer: -10*sqrt(7)\/7 + 592\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**2 - 1403528*h + 8421024 = 0.\nAnswer: 6, 350876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(5) + -5 + -1).\nAnswer: -30 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, w: 1, o: 5, e: 1, x: 3}. What is prob of sequence xw?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 897074782 to the nearest integer?\nAnswer: 29951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 8) in base 12?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 88 + 38702*v**3 - 38701*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45176 (base 15) to base 4\nAnswer: -311220333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 9*j**2 + j + 2. Let s be q(9). Suppose 1 = 5*a + s. Put -4, a, 2\/5 in ascending order.\nAnswer: -4, a, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19331201203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -3*g**2 + 64. Let w(b) = 25*b. Let s(t) = 26*k(t) + 6*w(t). Let d(a) = -13*a. What is d(s(j))?\nAnswer: 78*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t. Suppose f - 4*o = -0*o + 10, -4*f + 4*o = -76. Suppose -4*v + 14 = -f. Calculate the least common multiple of l(-2) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(2 + sqrt(19)) + 4)**2*4.\nAnswer: 24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4, 5*r - 4*z - 4 = 6*r. Is r - 3 - (-8018)\/19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4455 - 2551. Suppose 2*b - 5903 = -3*c, 0 = b - 5*c - f - 1080. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 212\/1547 - -2\/119. What is the third biggest value in s, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7109 is divided by 2294.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -n + 10, -3*i + 3 - 1 = n. Let l(w) be the first derivative of 2*w**2 - 10*w - 17317. What is l(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9220333553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvjjvjjpvvpvvvvvp. Give prob of sequence jj.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25722.3 + 29815. Round v to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**8\/70560 + m**6\/2520 + 7*m**5\/30 - 21*m**2. Let u(t) be the third derivative of p(t). Suppose u(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2926369438859 and -0.4?\nAnswer: 2926369438859.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvvvyvvyvypvyvyvvv. Give prob of picking 2 v and 2 y.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2629*t**2 + 10*t + 2632*t**2 - 10*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (-24 + 21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 7*f - 7. Suppose u + 2*h + 0 - 2 = 0, 8 = 4*u - 3*h. Let g be ((-30)\/(-12))\/((-1)\/u). What is the units digit of i(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 21 = -6*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*y + y, 5*y + 5 = 2*k. Let r be (2 - 1)*-1*k. Solve n - r*n = -12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 + -219. Let y = 98 + n. Find the third derivative of -18*l**2 + 31*l**2 + l**y - 4*l**6 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22011\/812)\/(9\/3) - 9?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57783365 and 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236072667 divided by -1.\nAnswer: 236072667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4145, 4142, 4129, 4100, 4049, 3970?\nAnswer: 3857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57344)\/(-5376) - 8\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2030 - -230020?\nAnswer: 221330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0.5, -6, -0.3, -63 in ascending order.\nAnswer: -63, -6, -4\/7, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 2*c**3\/27 - 118*c**2 + 2122*c\/9 + 2911. Factor i(a).\nAnswer: 2*(a - 1061)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6182.\nAnswer: 2, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94445 + 2*c**2 + 94508 - 188578.\nAnswer: 2*c**2 + 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 391 + -255. Let h = j + -134. Let s be -3 - 5\/h*2. Let n(g) = g**3 + 9*g**2 + 8*g - 8. Determine n(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106359.\nAnswer: 3, 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*b - 11683 = -37003 for b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23188679+-0.5\nAnswer: 23188678.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 110*n**2 + 573*n + 249. Let p be w(115). Solve -2*z - 4*t + 8 = 0, p*z = 17*z + t - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23405 + -18003. What are the prime factors of v?\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -13. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11102588 is divided by 2991?\nAnswer: 2987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f**3 - 9*f**3 - 13*f**3 + 2 - f**3 - 2 + (2 - 1 - 2)*(-3*f**2 + f**3 + 3*f**2).\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/33 and -103\/138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1390 + 2779\/2. Which is the smallest value? (a) -2 (b) -1158 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*r**2 - 2311*r - 2720 wrt r?\nAnswer: 72*r - 2311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*t**4 + 9 + 2*t + 36*t**4 + 9*t**4 in the form j*t + o*t**3 + v + u*t**4 + k*t**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5782, -6388, -6994?\nAnswer: -7600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*d + 15*d + 64*d)*(2*d**4 - 2*d**4 + 2*d**4).\nAnswer: 72*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5)\/y)\/y)\/(y*y\/((y*y**6)\/y)*y)*(y\/((y\/((y\/y**2)\/y)*y)\/y))\/(y*y**0))\/((y**3*y\/(y*y*y**(2\/7)\/y))\/(y**(-2\/7)\/y)**(3\/4)) assuming y is positive.\nAnswer: y**(-299\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867301 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96360 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/33)\/((-3)\/(-387) - 0). Solve -51*u + a*u = 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302.7 - 0.7. Let z = t + -295.3. Which is bigger: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 28. Let d = j + 24. List the prime factors of 6 - 2 - (-13 + d).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**5\/12 - 245*b**4\/4 - 36015*b**3\/2 - 232*b**2 + b. Find i such that x(i) = 0.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 + (-4704)\/27. Let k be (o\/(-9))\/(4\/6). Suppose 9*h - 4*h - 46 = -3*q, 2*q = -3*h + k. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by -46.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3470 by 15.\nAnswer: 694\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, 21.19, -464?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/20 + (-12)\/16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79711*q - 6 - 2*q**3 + 7 - 79711*q.\nAnswer: -2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 1 - 3 + 2*c + 4*c**2 + 0*c - 3*c**3. Let r = 1 + -3. Let b be d(r). What is the second biggest value in b, -1\/5, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**(1\/2))))**(-8\/7)\/(q**(-1\/2))**24 assuming q is positive.\nAnswer: q**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.0544 (b) -2 (c) 0 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28091\/9 + -3121. Let k = -319\/3 - -107. Which is the second biggest value? (a) k (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38879907*p**2 - 24916634*p wrt p.\nAnswer: -77759814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-21)*1\/2)\/2*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + n + 3. Let q be p(0). Let x = 5.4 - 0.4. Let r = 213\/4 + -53. What is the nearest to r in q, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-20) + (-78)\/5. Let n be 4*2*(-2)\/i. Let z(k) = 4 - 5*k**2 + 2*k + k**3 - n + 2. Determine z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 3. Let f be z(-1). Solve f*h = -h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54340682 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5892.047 + 5952.1. Let d = s - 0.053. Let t = d - 60.2. What is the smallest value in 0.2, t, -3, -4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + 2*p - 1. Let l(g) = g - 1. Determine 2*l(t) - m(t).\nAnswer: -4*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, -2, 0, 4 in descending order.\nAnswer: 4, 0, -2, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14829\/2 + 81614\/11. Calculate the common denominator of r and 41\/14 - 2\/(-2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n - 4. Let i be z(-3). Find the first derivative of y**2 - y**i + 5 - 2 + y**3 wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, q: 2, v: 2}. What is prob of sequence gqv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-243)\/9 + 24 - 95\/(-36) and (4\/(-150))\/(252\/6705)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50022335 (base 7) in base 12?\nAnswer: -146a268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7443 - 7426. Calculate the greatest common divisor of o and 2533.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 + -0.023. Which is the biggest value? (a) d (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.54744 tonnes in nanograms?\nAnswer: 22547440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 337*q**3 + 967*q**2 - 6198*q + 792 = 0.\nAnswer: -6, 44\/337, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**5\/12 + 5*o**4\/4 - 25*o**3\/6 + 26*o**2 + 2*o + 205. Let j(z) be the second derivative of a(z). Solve j(b) = 0 for b.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 11 = -g, -3*k - 15 = -0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2848 and 1688241.\nAnswer: 54023712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.895 rounded to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/20 (b) 2\/1335 (c) 2\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027780914 rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*w + 121608, -174541 = 2*b - 6*w - 52929. What is b rounded to the nearest one thousand?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 272 = -3*y, -294 = -5*t - 5*y - 14. Let x be t\/(-25) + (-2)\/(-10). Which is the third biggest value? (a) x (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26724968.\nAnswer: 2, 71, 47051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 57. Let o = -15 + c. Let y = 0 + -0.2. What is the third biggest value in 0.3, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -746*h - 3731. What is z(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20720000 = x + 3*x. Round x to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 824920781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 306, -5, 3, -2 in increasing order.\nAnswer: -5, -2, 1, 3, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2447.9 + 2448. Let c = -0.27 - 0.23. Let p = 1137 + -62533\/55. Sort p, c, n in decreasing order.\nAnswer: n, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*h - 3*h - 2*h)*(h**2 - 4*h**2 + 5*h**2) - 341*h**2 + 678*h**2 + 34*h**3 - 329*h**2)*(4*h - 4*h + 4*h**2).\nAnswer: 144*h**5 + 32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(-8)\/12*-3. Put 1, r, -3, -7 in descending order.\nAnswer: 1, r, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60466735 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1004 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/11 + 62*v**2\/11 - 492*v\/11 - 432.\nAnswer: 2*(v - 11)*(v + 6)*(v + 36)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370 + 22*f + 45*f**2 + 11*f - 40*f - 372.\nAnswer: 45*f**2 - 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 12830*b + 51334. What is g(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -11. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.56*0.3\nAnswer: 0.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 - ((-82 - -84) + 58)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 60*q**5 + 11512*q**4 + 43884*q**3 + 50464*q**2 + 15024*q - 3008 = 0.\nAnswer: -188, -2, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/107 in -0.3, -31, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 + 103050?\nAnswer: 103011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, z: 4}. Give prob of sequence yzy.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/3 - (-28)\/12. What is the greatest common factor of f and 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 2*g + 255. Let f be x(15). Let i = -0.7 - -0.3. Let d = 3 + -3.3. Which is the nearest to f? (a) d (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5509483, -5509488, -5509503, -5509534, -5509587, -5509668, -5509783?\n\"Answer: -h**3 + h**2 - h - 5509482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -19. Let n be 9\/27 + 16\/6. Which is the closest to 2\/7? (a) x (b) -6\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p*y**3 + 452*p*y**2 - 13*y**3 + 67 wrt p.\nAnswer: 5*y**3 + 452*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 257.\nAnswer: -23.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 18*a - 15. Let h(n) = -4*n**2 - 37*n + 31. Let q(d) = 2*h(d) + 5*k(d). Is 26 a factor of q(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1469, 2, 0.18, -0.992?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -3408734.8.\nAnswer: -3408684.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.488523 rounded to 2 dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -118*x**2 - 2*x. Let p(j) be the first derivative of -j**2 + 350. Determine p(o(d)).\nAnswer: 236*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 670a9b2?\nAnswer: -670a9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 354.\nAnswer: 11\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7176338 divided by 26?\nAnswer: 276013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1065)\/(-12) + 66\/((-3696)\/(-182)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0261587 rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 5*y**3 - 4*y)*(4 - 6*y - 4 - 1).\nAnswer: 30*y**4 + 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007072791 to six decimal places.\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.1 and 952.\nAnswer: 941.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 105932 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34978117*s + 0 + 0 + 0.\nAnswer: 34978117*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5.1. Let j = -0.948 + -0.052. Let h = 5 - 8. Which is the nearest to j? (a) 3 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 10b7?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -391472638, -5.\nAnswer: -391472638, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 0) + (-2 - 4) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 2*c**2 + 2*c - 1. Let k be r(2). Suppose -5*t - 3 - 17 = 0. Let d be 3\/15*t - (-637)\/65. Is k < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(3\/(-36)). Let q = u + -3. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utuj when four letters picked without replacement from {x: 1, j: 4, g: 1, u: 2, t: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:07 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61003\/18 - -3397. Let h = -18 - -19. Find the common denominator of n and 23\/4*(-1)\/h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00059695356 to six dps.\nAnswer: -0.000597","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 13*n = -n - 544 - 128 for n.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -89521.\nAnswer: -89520.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 5*o**2 + 9*o + 6. Let n be z(-6). Let m be 26050\/12 - (-5 + 87\/18). What is the hundreds digit of m\/9 - 5*n\/(-270)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1272 + 1290. Solve 3*k = -4*z, 2*z + r = -5*k + 8*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20000*50)\/(216\/(-11340)). Round z to the nearest one million.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 544535908 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 14 + 8 = -2*s, h + 4*s + 12 = 0. Solve 28*v + 233*v**4 - 3*v**3 - 238*v**4 - 2*v**3 - h*v + 20*v**2 = 0 for v.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140424 (base 5) to base 16.\nAnswer: -166b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2716 = -2*r, 8*r = 6*r - 4*a + 2706. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 989 and 230?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 3)*(-f**3 - 1 + 2 - 7*f**3) to the form z*f**2 + b*f + y*f**3 + j and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 - 3*z**5 + 0*z**5 + 2*z**5 + z**5 - z**5 + (-z + z + 2*z)*(z**4 - 2*z**3 + 2*z**3) + 3*z**5 - 3*z**5 + 2*z**5 + 21*z**5 + 104*z**3 - 104*z**3.\nAnswer: 25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 34. Let p be (-3)\/(12\/(-10))*r\/(-6). Solve 5*a = -5 - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6517, -215, -0.2, -50.\nAnswer: -6517, -215, -50, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1517.8 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 4\/3)*(-4 + 1). Let h be k\/1 + 196\/4. What is the highest common divisor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, w: 3, s: 1}. What is prob of picking 1 w and 2 o?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8452 - 20?\nAnswer: 8432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 496532, 993046, 1489560, 1986074?\n\"Answer: 496514*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -442\/3 + 1771\/12. Let b = 1.38 - 0.28. Let u = b - 1. Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*h + 35 = -59, 9 = -3*h. Solve -61*z + r*z - 132 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 10:22 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*b**4\/3 + 10142*b**3\/3 + 9168*b**2 + 13378*b\/3 - 4108\/3 = 0. Calculate b.\nAnswer: -79, -2, -1, 13\/62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 946 and 264.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 68886?\nAnswer: 68889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*p - 7*b = 8 + 6, -6*b + 5 = p - 3*b + 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 2:36 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 - (3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -191215, -191217, -191219, -191221?\n\"Answer: -2*w - 191213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and ((-32)\/6)\/(480\/(-1800))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2*x**2 + 161*d**2*x - 4*d*x**3 + 2*x**3 - 71*x**2 + 1 wrt d.\nAnswer: 4*d*x**2 + 322*d*x - 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {x: 4, f: 8, p: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 12. Let r be t(6). Suppose -5*g + r = 3. Factor 0*v**5 + 8*v**4 - v**5 + 0*v**g - 3*v**5 - 4*v**3.\nAnswer: -4*v**3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m**(-17)*m*m)\/m*m)*m**(17\/3))\/((m\/(m**(-12)*m))\/(m\/m**0)) assuming m is positive.\nAnswer: m**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*a - a + 21, 3*m + 3*a = 15. Solve -m*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344718 divided by -3?\nAnswer: -114906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7777 or 7936?\nAnswer: 7936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 1 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71946 and 206892.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 12*a**2 - 16*a - 29. Let k be o(-13). Let w = k + -1. Let f(s) = -s + 1. Let p(i) = -3*i**2 + 9*i - 9. Give w*f(b) + p(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**2 - 2048*p + 12500. What is i(6)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 - 1. Let o be r(3). Let p be 2 + o\/(-5) + 0. Is 0 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 35, -8, -20, -5, 1 in increasing order.\nAnswer: -20, -8, -5, -3, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5) + 3*(-884)\/(-357).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from nnnldjbnllnllnjdnb.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0 - 2) + 3. Let n = -15 + 27. Let p be 3\/n + 1\/(-4). Solve -2 = c*b - p*j - 2*j, b - 3 = 3*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01641 - 417.58359. What is x rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*y + 359 - 174 = -193. Let z = 3 + -3.1. Which is the nearest to z? (a) y (b) 2\/25 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-138) - (-168)\/874?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248392248 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 5*k - 3. Let i be s(3). Let h(x) = 3 - 2*x + 0 + 0. Let g(o) = o - 2. Give i*h(u) + 4*g(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -3, 117?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 10 - 2\/5*r**5 + 14*r - 22\/5*r**4 - 28\/5*r**2 - 68\/5*r**3 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3 - 8*w**2 - w**2 - 5*w + 5. Let h(j) = -5*j**2 - 3*j + 4. Let u = -262643 + 262638. Calculate u*h(x) + 3*k(x).\nAnswer: -2*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 1 (b) 0 (c) 2\/3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, j: 3, h: 4}. What is prob of picking 1 b, 1 h, and 2 j?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 16 = -2*i. Let w(x) = -x**2 - 2*x - 14. Let g(v) = -v**3 - 13*v**2 - 3*v - 86. Let k(c) = -g(c) + 6*w(c). Determine k(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4*x + 5*f + 19, 0 = 2*x - f + 30. Let m be (-1)\/(0\/(-2) - (14 + x)). Put -2, m, 53 in ascending order.\nAnswer: -2, m, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 382.6435 hours?\nAnswer: 1377516600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1315542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 290.\nAnswer: -23\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22417571?\nAnswer: 11, 23, 88607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w. Let c(n) be the third derivative of -n**4\/6 - 13*n**2. What is y(c(t))?\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 10 - ((0 - -13) + -25 + 37).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 - x - 1. Let l(v) = -v**5 + 14*v**4 - 23*v**3 + 10*v**2 + 2*v + 2. Let f(g) = -l(g) - 2*m(g). Factor f(u).\nAnswer: u**2*(u - 12)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*b + 5*p, -4*p + 12 = 6*b - 2*b. Let s be ((-35)\/(-42))\/((-1)\/6). Put s, -2, b in decreasing order.\nAnswer: b, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3754 + 3824. Solve 44*t - 52 = v*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c + 46. Let u be h(0). Let s = u - -27. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/13, 2\/485, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:04 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -794*f**3*t + 2139*f**3 - 2*f**2*t**3 wrt t.\nAnswer: -794*f**3 - 6*f**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4286 by -65.\nAnswer: 4286\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121698.\nAnswer: 2, 3, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 4*j**2 - 6*j - 3. Let q be y(-5). Is 65\/((4 + -2)\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86301.3 micrograms to grams.\nAnswer: 0.0863013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 2 + -4)**2 - sqrt(891)) + sqrt(891) - (sqrt(891) + sqrt(891) + 1)*2 - (2 + (sqrt(891) - (4 + 0 + sqrt(891))) + -4)**2.\nAnswer: -72*sqrt(11) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*a**2 - 43*a**2 + 2*a**2 - 352*a**2 - 58*a**2 - 8*a**2.\nAnswer: -591*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2925 and 47385?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121 - (-15 + -71)) + (-5 - (-2 + 1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 - 71. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24b + -439?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*f - 17, -w = 5*f - 15. Calculate the greatest common factor of 1000 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 7*h - 159. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3*t + 6, -3*c + 3*t - 4 = 4*t. Let q be 14 + (c + 0 - 3). Solve 2*n - q + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163225 divided by 11.\nAnswer: 163225\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 equal to -142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 94\/104 - 2*21\/56\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*k - 37. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*9\/42*88\/132.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*n - 8, -5*b + 4 = 4*n + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1654 - -1651. Let o be 1\/(-3) + (-43)\/(-3). Let p = o + m. Calculate the greatest common divisor of p and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4\/8 - 9561*g**3\/4 + 307983*g**2\/2 - 5290839*g\/4 + 9368865\/8 = 0. Calculate g.\nAnswer: 1, 9, 55, 6309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 times 444.5?\nAnswer: -2044.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-16)\/12*6\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-600)*-10)\/1.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.263 - 0.263002116. What is h rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(-1 + (-44)\/(-40)). Is -2\/5 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**2 + 47*k - 141. Determine g(7).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**3 + 9*f**2 - 2*f + 1. Let b(o) = 5*o**3 + 4*o**2 - o + 1. Let x(a) = -7*b(a) + 4*y(a). What are the prime factors of x(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 520 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5013401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.4 - 2.4. Which is the nearest to 1\/4? (a) 1\/4 (b) 0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3 - 27. Let l = 13 + y. Suppose -2*r = -4*p - 20, 2*r - 3 = -p + l. Solve 0 = -r*g + g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1396452 = -287637. Let w = c - -921363. Round w to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -6, -12, -20, -30, -42, -56?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -581 - 1094. What is the greatest common factor of 6566 and u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29443956.3 rounded to the nearest one thousand?\nAnswer: -29444000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 337*k - 344*k. Solve 12*m = 13*m - 5*b, b = k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 32*h - 1334. Calculate l(42).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 + 26*p**2 - 21*p - 16. Calculate j(-5).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5 + 17*i**2 - 4*i + i**3 - 8 - 11*i**2. Let r be l(-6). What is the derivative of -3*n**4 - 10 + 3*n**4 + n**4 - r*n**4 wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -543505?\nAnswer: -543503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.478 + -0.208. Which is the second biggest value? (a) i (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (0 + 7 + (-44 - -19) + 11 + 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r - 48. Calculate the remainder when f(-8) is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 157292, 629182, 1415670, 2516756, 3932440, 5662722, 7707602?\n\"Answer: 157299*z**2 - 7*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -39*p - 129. Let h be z(-21). Suppose 6*k - h = -660. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 5:53 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.05 (b) -0.1 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.748 + 0.948. Let z = -112814\/33 + 3419. Let w = -2\/33 + z. What is the nearest to -2 in w, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29452 divided by 29452.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 353\/9 + -39. What is the closest to -2\/3 in 3, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/5 and -31873 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -111, -360, -843, -1638, -2823, -4476?\nAnswer: -6675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h**2 - 2. Let l be d(-4). Let b = l + 403. Suppose -4*n - 3*o = -356 - 84, 0 = -5*n - o + b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1, -1 in descending order.\nAnswer: 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p - 142*p**2 + 4*p + 0*p to v + d*p + a*p**2 and give a.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -89, 0.02, -8, -1\/2?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:56 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.038, 124, -3\/8, -2\/27?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1322*a + 41. Is v(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 10 = -5*i + 32, 4*p = -12. Suppose y - 141 = -5*s - 34, 0 = 2*s - 5*y - 59. Suppose -s = -4*q + i. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -60*l + 6. Let n(c) = 1620*c - 160. Determine -3*n(p) - 80*v(p).\nAnswer: -60*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5988627 and 51.\nAnswer: 101806659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4332.24701 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 9:13 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h + 6. Let o be (0\/(-3))\/(h\/(-5)). Let q = 7 - 2. Which is the third biggest value? (a) -0.4 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 360658.9km?\nAnswer: 36065890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 2568525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*(-17)\/85*-50.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 79.06583 millennia?\nAnswer: 790.6583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-10))\/((-3)\/(-45)). Suppose -7*q + 15 = -2*q. Let y be q - (u\/(-2) + -34). What is the highest common factor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174720798559 - -0.278.\nAnswer: -174720798558.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 318 + -272.44. Let n = 45 - q. Round n to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.294 and -9.\nAnswer: -8.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60503137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 10*h. Suppose -5*x + 5 = -0*m + m, 0 = -5*m + x - 53. Let j be v(m). Let a = 209 - 208. Solve j = 2*c + 5 + a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = -3*x, 3*t - 3845 = 4*x. Let w = t + 99. What are the prime factors of w?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:11 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -468916 and -1\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4)*29)\/(((-2)\/(-6))\/(119\/357))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 21311 = 2*x, -4*x + 91*n - 94*n + 42615 = 0. Does 159 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 217.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + -1140124?\nAnswer: -1140210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2646, -2563, -2480, -2397?\nAnswer: -2314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-45)\/(-10))\/((-1)\/(-10)). What is the derivative of -45*c**2 + u*c**2 + 3*c**3 - 1 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3270 divided by -111534.\nAnswer: -545\/18589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwzw when four letters picked without replacement from zipwwzpwpzizizz.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 71, 53, 35, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*n - 26062 - 650 = 0 for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 20, 37, 54, 71?\n\"Answer: 17*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.3. Let l = 0.4 + 0.1. What is the biggest value in -3, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 163 - 165. Let g be -2 + 1 + 48\/8. Sort g, -9, u.\nAnswer: -9, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:40 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, k: 9}. What is prob of sequence kkk?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82051\/7 + -11721. Which is the nearest to 0.257? (a) 1 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 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: (-10512)\/438*10\/(-12)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 24*a**2 - 22*a - 7. Let n be g(-23). What are the prime factors of (-405)\/n - 6\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*sqrt(133)\/sqrt(7) + sqrt(19))**2.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 722 times 363?\nAnswer: 262086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 6:23 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h**2 + h + 3. Let f be p(0). Suppose 2*y = f*y - 16. Suppose -9 = 5*n + y. What is the second biggest value in n, -2\/15, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/8*-1*4. Find the first derivative of 6 + y*a**2 - 10 - 3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-63) - 82\/126. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*(-5)\/((-100)\/(-12))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:26 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27265 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 + 14*k - 21)*(3*k - 8*k - 2*k)*(-3 - k**2 + 3) as r*k**3 + f*k + z + b*k**2 + s*k**4 and give s.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15563 is divided by 3736?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -131*o**3 - 16*o**2 + 2*o - 2. Let f(m) = 391*m**3 + 44*m**2 - 5*m + 4. Calculate -4*f(t) - 11*j(t).\nAnswer: -123*t**3 - 2*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -58*c - 151. Let v(d) = 2*d**2 + 9*d - 1. Let w be v(7). Calculate the remainder when w\/(-12)*1*-3 is divided by o(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -127 and 32160.7?\nAnswer: 32287.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 60 = 7*p. Let a = p - -58. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -2112000?\nAnswer: -2111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11998439*s**4 + 61783*s**2 + 2*s + 1 wrt s.\nAnswer: -287962536*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3\/4 + 1428515*i**2\/2 - 102033469515*i + 204064082010 = 0. Calculate i.\nAnswer: 2, 285702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 1 = 3*v, 0 = -2*p + 408 - 406 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*a**3 - 216*a**3 + 156 - 1145.\nAnswer: 2*a**3 - 989","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggejejgegdtjdgggegjg. What is prob of sequence gg?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.723208286 rounded to five dps?\nAnswer: -0.72321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95866 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/8)\/r**(-10))\/(r*r\/(r\/((r\/(r*r**3*r))\/r)))**(-21) assuming r is positive.\nAnswer: r**(-591\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4252\/9 - 472. What is the nearest to 1 in -1, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*r - 25. Let l(y) = 1 - 2*y + 5*y + 6 - 3. Calculate l(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266\/42 - (-2)\/3 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 69*s + 363. Calculate u(5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730 + 731 = k, 3 = l - 2*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60)\/(-25))\/((-6)\/40). Let s = -14 - h. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 - 77\/12. Let s = b - -97\/24. What is the common denominator of s and -85\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 2, p: 4, m: 1, e: 1}. Give prob of sequence kk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:43 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1546\nAnswer: -618.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**4\/12 + 3*u**3\/2 - u**2. Let r be (1 - 7)\/(-2 + 3). Let s(t) be the first derivative of -t + 15. Give r*s(o) - p(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 5*h - 95, -917*b + 915*b - 5*h + 95 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (-2 + sqrt(396)*-1 + sqrt(396)) - (sqrt(396) + -1 + (sqrt(396) - (sqrt(396) + 0))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-36)\/((-3600)\/7900).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10*r + 0*r**2 - 5 - 7 + 2*r**2 + 2. Is p(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = -0*z, 5*z = -4*q + 221. Let l = 22 - q. What is the tens digit of l\/(2\/(8\/(-3)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 963 - 241. Let j = o + -722. Solve j = 2*a + 6, 0 = 3*s - 2*a + 1 + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {a: 4, u: 3, d: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as -1491\/440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 12:06 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + c = -0*c - 1757, 0 = 5*a + 4*c - 1747. Let s = -2108 - -1983. Let o = a + s. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1193171*d**2 - 1848486*d wrt d?\nAnswer: -2386342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*((0 + sqrt(847) - sqrt(847)) + 3 + sqrt(847) + 5 + -1 + sqrt(847)) + -1).\nAnswer: -264*sqrt(7) - 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/13, 9.1, 10, 1, 3\/7, -1.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/5 in -3, 2\/3, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + (-280)\/32)*12\/(-3207). Let s = k + 4283\/7483. Which is the third biggest value? (a) 0.1 (b) s (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*n + 123 + 39. What is the fourth biggest value in n, 2\/3, -235, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 11*k - 11. Let l be x(-6). Let h = 14 + l. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16017 * 0.1\nAnswer: 1601.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 4*z**3 - 3 - 5*z**3 - 2*z in the form m + a*z**3 + o*z**2 + c*z and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 28*v - 42. Let x(f) = -9*f + 13. Let n(d) = -8*x(d) - 3*z(d). What is the lowest common multiple of n(7) and 11?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1665\/(-37)*(-12)\/20.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -172 + 115 + (-2 - (3 - 3 - 7))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634697 = 4*l + 1634633 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 141*l - 258. Let x(t) = 167*t - 259. Give -6*g(b) + 5*x(b).\nAnswer: -11*b + 253","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 1 + (7 - 41)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/63132 and 97\/12373872.\nAnswer: 12373872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202, 372, 542, 712, 882?\nAnswer: 1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*f**2 + 12 + 35*f**2 + 33*f**2 + 3.\nAnswer: -2*f**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 5*j + 66700 = 0. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 divided by -23843?\nAnswer: -390\/23843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 36, 68, 134, 246, 416?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -143*q + 39. Suppose 253 = -208*v - 283 - 504. Let i(s) = 18*s - 5. What is v*u(n) - 39*i(n)?\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436150 is divided by 204.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 6*t - 5. Let m be p(6). Let z = -36 - m. Let c(h) = h**3 - 7*h**2 - 19*h + 9. Let u be c(9). Solve z = 5*a - u*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (127*d - 87*d + 36 - 69*d)*(d + 0*d - 5*d) in the form j*d + c*d**2 + i and give j.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**3 - 113*a**2 + 25*a - 147. Give l(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4635, 18506, 41629, 74010, 115655, 166570, 226761?\n\"Answer: t**3 + 4620*t**2 + 4*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m. Let y(n) = -n**2 - 7*n - 4. Let c be y(-6). Let o(f) = 2 + f**2 - c. Give b(o(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z. Let v(p) = 3*p. Let x(b) = -2*c(b) - 5*v(b). Let i(r) = -r**2. Determine i(x(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/12 and -113\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -129, -294, -517, -792?\n\"Answer: f**3 - 38*f**2 + 6*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.083 to 1 dp.\nAnswer: 30.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 93, 208, 381, 618, 925?\n\"Answer: a**3 + 20*a**2 - 4*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*l**2 + 9*l**2 + 4*l**2)*((-4 + 0 + 2)*(3 + 2*l - 3) - 2 - 32*l + 106*l + 2).\nAnswer: -420*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0*5\/(-25))\/(-1). Suppose c = -3*k + 2 + 58. Solve 12*x - k = 17*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/4, 3\/7, -0.4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 1. Let j(q) = -13*q + 25. Let g(y) = 2*h(y) - j(y). Differentiate g(z) with respect to z.\nAnswer: -4*z + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 10*a**2 - 4*a + 27. What is j(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 3, b: 2, e: 3, z: 1, r: 1}. Give prob of picking 1 s and 1 e.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -31)*(-20)\/100 + (88\/(-10) - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 62. Suppose 6*r = 7*r - 4. Suppose -r*g - 4*w + 72 = 20, -25 = -5*w. Which is the nearest to g? (a) 0.5 (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 n when four letters picked without replacement from {n: 2, m: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1307*b + 16136. What is a(12)?\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g + 36*g + 4*g + 31*g.\nAnswer: 115*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (0 - (4 + 7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.3 (c) -965 (d) 5 (e) -4 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1436*m + 1465*m - 1189 = 0. Solve 71*s - m*s + 180 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 2*h**2 - h + 3. Let s(x) = -4*x**3 - 3*x**2 - x - 8. Give -2*r(q) - s(q).\nAnswer: 2*q**3 + 7*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(2016) + (sqrt(2016) + (sqrt(2016)*-1 + sqrt(2016) - sqrt(2016) - sqrt(2016)) - sqrt(2016)))\/sqrt(7).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 301396 - 158181. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -34*u**2 - 2957*u + 85. Determine m(-87).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/3)*g*g*g*(g\/(g*g*g**(-6)))\/g*g**(1\/3)*g**(-3\/7)*((g*g\/(g*g**1)*g*g)\/g)**(-42\/11)*(g\/(g\/(g**(-1\/4)*g)))\/(g**1*g) assuming g is positive.\nAnswer: g**(1081\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -46. Let w be 0 + 0 + -1 + b. Let f = 25 - w. What is the smallest common multiple of 14 and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let s(t) = -t + 1. Let y(c) be the second derivative of c**3\/6 - c**2\/2 - 2422*c + 2. Give i*s(z) + 4*y(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, p: 9, f: 1, b: 2}. Give prob of sequence fp.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5528.782415 rounded to the nearest ten?\nAnswer: -5530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 13*d + 6. Suppose b - 4*n = 4*b + 25, 2*b + 15 = -n. Let k be m(b). Is k < 2\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/101)\/c*c*c**(-35) assuming c is positive.\nAnswer: c**(-3533\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -737?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 52 = -7*b + 3*b, 2*b + 72 = 5*z. Let n = -23 + 41. Calculate the lowest common multiple of z and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 26383.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192*l**3 - 130*l**3 + 61*l**4 - 1646*l**2 + 75*l**4 - 63*l**3 wrt l.\nAnswer: 3264*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -7, -2\/9, 3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 8. Calculate y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2821*k*o + 2023*o wrt k?\nAnswer: 2821*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 25*o**2 + 68*o + 12. Give c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*s + 19 + 26, 2*k - s = 6. Let c(w) = 72*w - 4. Let v be c(k). Suppose 3*o - v = -o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuu when three letters picked without replacement from xtuxxxuxu?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -33*a**2 - 9\/5*a**5 + 0*a**3 + 3\/2*a**4 + 0*a - 37. Find the second derivative of g(k) wrt k.\nAnswer: -108*k**2 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -19 + 1 + -7 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2887*d + 33789 = -63745 - 49950 + 17569 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 18, 36, 60, 90, 126, 168?\n\"Answer: 3*m**2 + 3*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-33))\/(-1))\/(6\/12).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -453.281682 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/6941745 and 77\/1096065.\nAnswer: 20825235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3322 and 3?\nAnswer: 9966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -6046 (b) -4\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onwwhnhwahhhahw. What is prob of picking 1 a, 1 h, and 1 w?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.10252037 to three dps.\nAnswer: 26.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505705 is divided by 303?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - -1. Calculate the highest common divisor of v and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -629 = -22*w + 16333. Let i = w - 771. Solve -3*q = f - 4*q + 2, 3*f - 5*q = i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from lciiinm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144*x**3 + 65850144*x**2 - 21950060*x + 1829172.\nAnswer: 4*(x + 457293)*(6*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*m - 9, -3*m + 1 = -d - 5*m. What is the remainder when 84 + -9 - -1*d is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 - -570.332170881.\nAnswer: 723.332170881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-16)\/20)*4\/(-10)*(-73304)\/2992.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10643 + 10644. Which is the third smallest value? (a) -620 (b) -1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o**3 + 4*o - 4*o + 14*o**3.\nAnswer: 31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -19477\/3059 != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -65620302 (base 7) to base 3\nAnswer: -101121022011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**46\/(f**(-21\/2)*f))\/(f*(((f\/(f\/(f\/f**(-1\/4))))\/f)\/f)\/f)**(23\/6) assuming f is positive.\nAnswer: f**(467\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 718104081 and 11547?\nAnswer: 3849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1224 and 16682508?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23760 is divided by 2024.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-11)*(-99)\/495?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 1)*(-7*o + 3*o + 2*o)*(-2 + 4*o - 2*o + 0*o) + (0 - 6*o + 0)*(-2 + 3*o + 2) - 3 + 3 + 3*o**2 as i*o + p + l*o**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9311099 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 4, -3 in decreasing order.\nAnswer: 62, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 279*k**3 + 3*k - 120*k**3 - 8*k**2 - 6*k**4 - 165*k**3 + 2 as o*k**3 + i*k + m*k**4 + f + d*k**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + (-4 - -2))*1. Let z = p - -12. Let v be (3\/(-2))\/(z\/(-8)). What is the nearest to -2 in -0.4, v, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313546 + -2.\nAnswer: -313548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-1\/4)*m))**6)**(-20) assuming m is positive.\nAnswer: m**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w + 5019 + 1522 - 829 = 65*w for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 11)*(13*y + 7*y - 8*y).\nAnswer: -168*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5 - 5832*s**4 - 510813*s**3 - 493302*s**2 + 1009944*s = 0. Calculate s.\nAnswer: -83, -2, 0, 1, 2028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let d = 12 - r. Let m = -8.9956 + d. What is m rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + 2*f)*(-3*f**4 + 2*f**4 + 2*f**4 + (-4 + 3 - 1)*(3*f**3 - 3*f**3 + 2*f**4)).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from jjngjjgn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714762667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96335.9ml to litres.\nAnswer: 96.3359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 + 180*a + 2848. Is n(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 13*j = 52 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*r - 5*n - 12, -r = -3*n - 16. What is the remainder when (-6 - r)\/((-2)\/4) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 63.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-306))\/(5670\/756)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-17)*l\/((l*l*l**43*l)\/l)*(l\/((l**(-1)\/l)\/l))\/(l\/l**(-34)))**(-6\/5) assuming l is positive.\nAnswer: l**(552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7204 is divided by 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2210*v + 1769.\nAnswer: 2210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0 (b) 2 (c) -2 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 3*x + 19 + 61, -4*d + 3*d + x = 158 - 142 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/744 and -35\/163928?\nAnswer: 491784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0974 - 6.6146. Let j = t - -6.7. Round j to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*t = -5*s - 1983, 2007 = -5*s + 3*t. Suppose -14 = 4*u + b, -3*b + 22 = -4*u - 0*b. Is u\/(12\/s) + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f + 7. Let o(q) = -38285*q**2. Determine m(o(r)).\nAnswer: -459420*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/((-343)\/77) - (-3)\/7. Suppose -4*k = -7*k. Suppose 5*y - 3*y + w = k. Are 2 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 1*sqrt(1053)) - ((-2*(1 + sqrt(1053)))**2 + sqrt(1053) + ((sqrt(1053)*-1)**2 - sqrt(1053)) + 0).\nAnswer: -5281 - 99*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1776 - 873 = b - 2*y + 863, 3*b - 140 = 11*y for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 873, 922, 1003, 1116, 1261, 1438?\n\"Answer: 16*d**2 + d + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 109565 - 46018 = n, 4*n + 311156 = 4*t. What is the thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let q be -2*(-1)\/6*6. Suppose a - 4 = -0*a. Sort q, a, b in descending order.\nAnswer: a, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcrbccbaacab. What is prob of sequence aa?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/120 + 7*j**5\/60 + 7*j**4\/12 - 20*j**3 - j**2 - 604*j - 2. Factor w(t).\nAnswer: -(t - 6)*(t - 5)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 3605277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19345703*d**3 + d**2 + 825*d - 3798?\nAnswer: 116074218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = -2, -f + 18 = 4*q. Solve x = q*l - 11, -2*x + x + 7 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 d, and 1 u when four letters picked without replacement from {g: 4, o: 6, c: 2, d: 4, u: 2, w: 2}.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.184 (b) 0.34 (c) -1 (d) -0.5 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129*60098.\nAnswer: 7752642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 + g**2 - 9*g + 5. Let i(j) = -3*j**3 + j**2 - 8*j + 5. Let o(h) = -3*i(h) + 2*y(h). Is o(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0*t**5 + 0 - 2*t**2 + 1\/48*t**8 + 0*t + 0*t**6 + 0*t**7 - 1\/6*t**4 + 0*t**3. What is the second derivative of k(c) wrt c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712 divided by 375\nAnswer: -712\/375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 9 = -2*g - 19, 5*a + 8 = 3*g. What are the prime factors of (2\/4*g)\/((-6)\/525)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 4*f + 480, 0 = -3*f. Let c = r + 249. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(-124) + 82\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 9\/4 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33371 + -33366. What is the fourth biggest value in 0.45, -1, 7\/4, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 348\/7103467 - 2483350888519\/2770352130. Let k = 11580\/13 + o. What is the common denominator of -1 + 604\/48*2 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1559, 3134, 4723, 6326, 7943?\n\"Answer: 7*t**2 + 1554*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -35*v**2. Let i(q) = -21*q**2 + 3*q - 8. Let n(k) = -38*k**2 + 5*k - 14. Let t(j) = 7*i(j) - 4*n(j). Give s(t(y)).\nAnswer: -875*y**4 - 350*y**3 - 35*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3766, 3754, 3722, 3658, 3550, 3386, 3154?\nAnswer: 2842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {f: 9, x: 4, n: 1, e: 1, l: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 5*i = -15, 0*i - 4*i = 5*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3867 - 3866.88655. Round s to 3 dps.\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 51*h + 226. What is f(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -142, -96, -40, 32, 126, 248, 404, 600?\n\"Answer: b**3 - b**2 + 42*b - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6*(0 + 0). Solve r*u + 4*u - 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -8, 1\/18, -3, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.419 - -2.4335. Let v = 38 + h. Round v to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - c - 2. Let z be b(2). Suppose z*l - 2*l = -6. Suppose -r - l*r - 4*g + 168 = 0, -4 = -4*g. What are the prime factors of r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46510 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert b83984 (base 12) to base 13.\nAnswer: 7ab48c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 - 1305\/(-75)) + 3\/5. Determine f so that -1\/2*f**4 + 0 + 3\/2*f**2 + f + 0*f**i = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515955 greater than 2515968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 + 124*q**2 + 79*q + 215. Let p be m(42). Solve t - 4*t = -2*f + 1, -5*f + 10 = -p*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-80560)\/(-22) + (-372)\/(-2046) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 191161953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33718 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**2 + p**2)*(p - 3*p + p) + 8 - 8 - 12*p**3 - 1 + 1 + p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77269?\nAnswer: 77269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332144?\nAnswer: 2, 20759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4068726701 to the nearest integer?\nAnswer: 63787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110001101 (base 2) in base 10?\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224 - 13?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -3) + ((-19 - -19) + 16 - -16).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -19. Suppose 0 = -2*r - r + p. Suppose i - 38 = -5*w + 81, 5*i = r*w + 595. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1398038243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1015979232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12221211 + -12?\nAnswer: 12221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*u**6 + 1377122*u**4 + 11001239*u**2 wrt u.\nAnswer: -1080*u**3 + 33050928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 1. Let i be 91\/624*8 - (-1)\/(-6). Let t(b) = 64*b - 16. Calculate i*t(l) - 16*c(l).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**4 + 221234*m**2 + m + 2625344 wrt m.\nAnswer: -48*m**2 + 442468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*v - 651 = -60*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 306737\/11 + -27885. Solve 0*a**2 + 0*a - d*a**4 + 0*a**3 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*f + 2. Let u = 5 + -4. Let c be (-1*f\/4)\/u. Is 1 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159089 is divided by 3787?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 5:27 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2563361 and 118244?\nAnswer: 4223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -321.671 rounded to 0 decimal places?\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.5, 1\/71, 2\/9, -2\/77?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - a - 2*a)*((4*a - 4*a + 2*a)*(-3 + 2*a + 3) - a**2 - a**2 + 0*a**2 - 634*a**2 + 832*a**2 - 1642*a**2) as w + g*a + l*a**2 + p*a**3 and give p.\nAnswer: 1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*q - 24. Let f = 43520 + -26016. Suppose 2*z - q*h - 5026 = 0, -5*z + h = -f + 4930. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -3024?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j + 72. Let l = -790897\/142540 - 10\/7127. Find the common denominator of l and 1 + 0 - 158\/j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - ((6 - 20) + 7))*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose 0 = s*u + u - 18. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 5*y + 24. What is j(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612, 514, 416, 318?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 2*y. Let k be i(0). Suppose 3*w - 10 - 5 = k. Suppose -4*t + 3*t + 65 = w*l, 2*t = -l + 22. Solve -3*s + l + 0 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -26 - ((4 - 1) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30*((-64)\/(-12) - 4). Let k = m - 22. Suppose 3*i - k = 21. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**3\/3 + 42. Let q(f) be the first derivative of 4*f**3 - 2. What is y(q(z))?\nAnswer: -288*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 10. Suppose -4*k + 45 + 39 = 0. Calculate the highest common divisor of a and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Suppose -5*s + w*h = -20, s + 3*h = 4 - 0. Which is the second smallest value? (a) s (b) 1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.75679 millennia?\nAnswer: 2756.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 plus -101.38487?\nAnswer: -142.38487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3)*(-38*f - 33*f + 2 + 82*f)*(-3*f + 5*f - 3*f).\nAnswer: 33*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 6*p + 12, -26*p = -27*p + 2. Solve q = -66*z + 453 + 75 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78 + ((-380)\/20 - -22). Solve t = 13*i + 3 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89\/2? (a) 0.8 (b) -3\/5 (c) 2\/9 (d) 1\/2 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + c + 25, c = 3*q - 13. Let g(u) = -65*u**3 + 44*u**3 + 2*u**2 - 2*u + 37*u**3. Calculate the remainder when g(1) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 13. Let c be d(-13). Let g be 0*4\/(-16) - c. Suppose -w - 1696 = -4*x - 5*w, g = -x + w + 414. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1541 + 3a2a4?\nAnswer: 38963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 5*a**2 - 3*a + 8. Let h be v(4). Suppose -h = 4*t, -48 = -3*m + 2*m - 2*t. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 14, 0.28, 40, -0.4, -1\/23?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110010010 + 110000?\nAnswer: -11101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 3*z**2 + 558*z - 1737. Determine k(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 7 - (38 + -41) - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9633 + -9632.9. What is the fourth biggest value in n, -5, -241, 0.4?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 487.489611 to two dps.\nAnswer: 487.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -300, -614, -920, -1212, -1484, -1730, -1944?\n\"Answer: u**3 - 2*u**2 - 315*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 192 - 44\/3*u**2 - 4\/3*u**3 + 1\/3*u**4 + 32*u = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 24374*n - 24378*n + 8, 0 = y - 5*n + 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2099, -1534, -697, 418, 1817?\nAnswer: 3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - -12. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1095 and -220.\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332000 a multiple of 888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155820021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10732472489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a + 48 = 0. Suppose 0 = 4*v - v - a. Suppose -4*u - 4 = 4*g, v*u + 1 = -6*g + 3*g. Solve -c = -u*i - 4, 4*c + 19 = -5*i + 2*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758376 less than 33?\nAnswer: -758343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 3:54 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 43. Suppose 2*t = -8 - 0, a = 4*l - 5*t - 32. Suppose 2\/5*r**4 - 4\/5*r + 4\/5*r**l + 0 - 2\/5*r**2 = 0. Calculate r.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37)\/(-185)*-455 + 69.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1147078 and 826?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 11*a + 27. What is x(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(48) + 4)**2.\nAnswer: 192*sqrt(3) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232506?\nAnswer: 2, 3, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3501*l. Let x be r(0). Which is the second biggest value? (a) -1\/68 (b) -6\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**11)**(-8))**(1\/36) assuming o is positive.\nAnswer: o**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**3 + 0*j - 8*j**2 + 1\/60*j**5 + 0 + 1\/12*j**4. Let i be ((-6)\/2)\/(-1 + 2). What is v(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2))**46)**(2\/37))**(-36) assuming t is positive.\nAnswer: t**(6624\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146964330.\nAnswer: 2, 3, 5, 73, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 15. What is s(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 25. Let f be k(0). Suppose -f = -5*v - 5*q, 4*q + 11 = -2*v + 27. Calculate the remainder when 7 + v\/(-2) + -2 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*v + 4*a, -4*a = 5*v - 3*a - 12. Let z(i) = -4*i**2 + 2*i**2 + 3*i**v. Let f(q) be the first derivative of -q**3\/3 + 3. Give z(f(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 292 = 2*t - t, 1529 = 5*t + 3*u. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 1387\/66 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 35 = 2*w + s, 37 = 4*w - s. Let j(m) = 4*m**2 - 56*m + 3. Let y be j(14). Solve -5*g + 4*v = w, -2*v - 5 = 4*g - y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1839\/44162 + -5\/142. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 12*n = -14*n, 2*i - 3*n = 3. Solve -9*f - i = -15*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1025 and 4572325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 148. Let v be (-266)\/980 - ((-10)\/h - -2). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 28*b**2 - 9*b**2 - 7*b**2 - 10*b**2. Let c(m) = -10*m. What is i(c(z))?\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 0, 0*y = j - 3*y - 4. Suppose j - 13 = -3*t. Sort t, 4, -3 in descending order.\nAnswer: 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {f: 2, h: 1, w: 1, d: 1, m: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 254\/5. Let q = -0.49 + -0.01. Sort h, 0, q in descending order.\nAnswer: 0, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.089131, -0.4, 2\/3, 0.02 in descending order.\nAnswer: 2\/3, 0.02, -0.4, -2.089131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/2 - (-99 + 201 + -122)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 25 + (-1568 - -1528).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, -259, -600, -1077, -1690, -2439, -3324?\n\"Answer: -68*i**2 - i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/127, -7, 2\/3, -4, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -258 (base 12) to base 7\nAnswer: -1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 4*d)*(3 + 0 + 993*d - 960*d).\nAnswer: 66*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -10\/15431 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -708337*v**3 - 188*v**2 - 2444*v. Let f(g) = -18889*g**3 - 5*g**2 - 65*g. Give -188*f(d) + 5*l(d).\nAnswer: 9447*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 90398*b**3 - 90396*b**3 - 2*b**2 - 18*b**4 - 4 - 1 to the form i*b + p*b**3 + d + m*b**4 + a*b**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500 + 503. Let n(h) be the first derivative of 12*h**2 - 3*h + 1. What is the tens digit of n(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7951, 1, -5, 32.\nAnswer: -5, 1, 32, 7951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, -3, -0.8, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/75, -231, 0.12, 1\/2, -2 in descending order.\nAnswer: 1\/2, 0.12, -1\/75, -2, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 276\/5, 3, -8.6 in increasing order.\nAnswer: -8.6, 3, 276\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -28*x**3 + 67*x**2 + 17. Let a(p) = -10*p**3 + 23*p**2 + 6. Determine -17*a(v) + 6*o(v).\nAnswer: 2*v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-12))\/(1 - (-7)\/(-6)). Calculate the remainder when (4 + -6)\/(o + (-336)\/166) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose -b = -0*b + j. Put -4, b, -1\/5 in decreasing order.\nAnswer: -1\/5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wq when two letters picked without replacement from {v: 2, w: 7, q: 6}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3523919412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -39953.7 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53 - p + 53 - p**2)*((-3*p + 4*p - 3*p)*(-2 + 0 + 3) + 0*p - 2*p + 0*p - 4*p + 4*p + p) to z*p + q + k*p**2 + d*p**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114872688 and 112.\nAnswer: 114872688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q - 65*q - 58*q - q.\nAnswer: -92*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 233142?\nAnswer: -233134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 9 = -z. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + 174. Let z = d - 69. Calculate the greatest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 + -210. Suppose d - 16 + q = 0. Is 2 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 3. Let r be (1 + 6)*z\/21. Suppose -3*a + 42 = r*a - 4*s, -s - 28 = -3*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57569.6804 - 12?\nAnswer: 57557.6804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cc37 (base 13) in base 4?\nAnswer: -110320320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -519486?\nAnswer: 519486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1244355\/68 + -18299. Find the common denominator of 67\/196 and x.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -802793*c + 5619535. What is l(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 35*l - 14*l - 6*l = 5*o + 9*l + 26, 8*o = -5*l - 43 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 6:58 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from gdcvvumd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1258*p + 17507. Determine q(-14).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-1 + -7)) + -11 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 16. Suppose 3*r + 2*m - 57 + 15 = 0, -2*r + m = -28. Let p be 1\/3*(1 + r). Solve -z = c + j + p, -5*c + 2*j = 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/(-42) + 5)*3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30249624 to the power of 1\/2, to the nearest integer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1363383\/34 + 5\/(-2) + (0 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2462616 and 159614?\nAnswer: 17238312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 4*p - 19 = -4*o, 5*p - 49 = 2*o. Solve p - 4 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2819*k*t**3 - 682528*k*t**2 + 127*t**3 wrt t?\nAnswer: 16914*k + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2 + 764897214*m - 48755645665413483 = 0. Calculate m.\nAnswer: 127482869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*v**2 + 254*c**3 - 3*c**2*v - 4*v**2 wrt c?\nAnswer: -12*v**2 + 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/60 - w**3\/6 + 10*w**2. Let r be f(0). List the prime factors of (42\/(-49))\/(r\/14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/264)\/(6\/(-33))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.014 + -175399.\nAnswer: -175399.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/180 - g**5\/20 - g**4\/8 + g**3\/3 - 6*g**2. Let h(c) be the first derivative of d(c). Is h(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3002 and 61\/2.\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 195*m**3 + 4*m**2 - 4*m + 1. Let w(d) = d**2 - d. Let i(a) = -f(a) + 2*w(a). Let k be i(1). Let z = -134 - k. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0*(r**(-4)\/r)\/r*r\/r**(2\/5)*r*r**(1\/5)*(r**(2\/7))**(-26)*r**(-2\/3)\/(r\/r**(-6)) assuming r is positive.\nAnswer: r**(-2026\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912231859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -30*k - 1. Let n be (-14)\/21 - (-1)\/(-3). Let c be y(n). Suppose -c - 29 = -2*p. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 642902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**4 + 70454619*j**3 - 864*j**2 + 34129.\nAnswer: 24*j + 422727714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 36. Let s = 6 + -5.7. What is the third biggest value in o, s, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 914*z + 62*z**2 - 899*z - 355*z**2 in the form b*z**2 + r*z + w and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = 5*t, t - 2*t + 2*o = 8. Suppose 6 = -2*a + a. Let f = 10 + a. Sort -2, f, t in decreasing order.\nAnswer: f, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**14\/y)\/y*y*y)**(-21)*(y**2)**4)**(-6) assuming y is positive.\nAnswer: y**1716","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 - 44) + -30 + -1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = 4*s - 11, 2*s + 4*t = 10. Let n(f) = -7*f**3 + s - f + 0*f + f**3 - 5*f**2 + 5*f**3. Calculate n(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**8\/240 + 13*n**4\/24 + 20*n**3\/3 + 15. Let v(j) be the third derivative of b(j). Find the first derivative of v(i) wrt i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*y**3 - 545037*y + 0*y**2 + y**2 - y**2 + 545037*y.\nAnswer: 236*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -97*y + 602. Calculate the remainder when 36 - (1 - -1 - 1) is divided by l(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -0.3, 3\/2 in ascending order.\nAnswer: -15, -0.3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -958*d**5 - 238*d - 5 wrt d?\nAnswer: -19160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-44)*(17 - (-15)\/(-15))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 1\/168*a**8 + 0*a**6 + 0*a**3 + 0*a**5 + 0*a**7 - 1\/8*a**4 + 0 - 2*a**2 + 0*a. What is the second derivative of z(n) wrt n?\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90729925?\nAnswer: 5, 11, 13, 41, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297*m**5 + 107*m**3 + 4*m**2 - 6242*m.\nAnswer: -17820*m**2 + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 3*w + 9. Calculate q(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00581634507 to 5 decimal places.\nAnswer: -0.00582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-117)\/(-312)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -25, -35, -49, -67, -89?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*w**3\/7 - 2874*w**2\/7 - 26823*w\/7 + 29670\/7 = 0. What is w?\nAnswer: -86\/9, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 8*a**2 - 4*a + 12. Let b be y(8). Let j = -11 + b. Which is smaller: j or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207 - 365. Let b = 335 - n. List the prime factors of b.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 5. List the prime factors of f(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3748 is divided by 487?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1443633312 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8558, -15, 6.\nAnswer: -15, -0.8558, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 226*d**2 + 0 + 6 - 226*d**2 + 4*d + 442*d**2 to a + p*d + l*d**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 c when three letters picked without replacement from {v: 3, c: 2, l: 2, x: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131116824.\nAnswer: 2, 3, 1821067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14308 + -14206. What is the greatest common factor of 3502 and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 3 + u + 2 - 4*u + 0. Let f be c(3). What is the units digit of 2\/(-16)*f*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, i: 4, o: 4}. Give prob of sequence loo.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**5 + 8*x**4 - 1079720*x**2 - 184304950*x wrt x?\nAnswer: 20*x**3 + 96*x**2 - 2159440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 6. Let n be x(6). Solve 0 = 2*j + 4*q + 26, n = 5*j - 4*q + 2*q + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 282256 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (sqrt(27) + (sqrt(27) - 5*(sqrt(243) + sqrt(27)))) - sqrt(27))*4)\/(sqrt(18)\/(-2*sqrt(8)\/sqrt(4))).\nAnswer: -144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3774 and 918.\nAnswer: 33966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 337453619627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 - (-23)\/7. Let p be (-5)\/((-10)\/2) - 4*-1. Suppose -p*o - 6*h = -x*h - 36, -4*h = 12. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*w - 4 = 36, 5*w + 20 = 2*h. Let i = h + 0. Calculate the remainder when 58 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.37869268 to two dps.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) 4\/5 (c) 341\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-339 - -324) + (22 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4 + 161*c**3 + 314*c**2 + 2*c?\nAnswer: -48*c + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, m: 3, f: 2, w: 1, b: 1, c: 8}. Give prob of picking 1 y, 1 f, 1 b, and 1 c.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099309829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*s = -419*s - 200. Let c be (18\/8)\/(6\/16). Is 286\/c + s\/(-30) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*q - 20*q + 57*q in the form v + i*q and give i.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -60*v - 127. Calculate q(0).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 273*x - 23. Let a be h(1). Let n = a - 246. Solve 0 = -i - 4*u - 13, -n*u = 5*i + 8 + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + ((sqrt(1008) - sqrt(1008)*2) + -4)**2 + 3*1*sqrt(1008) + 1*(1 + sqrt(1008))**2*1.\nAnswer: 156*sqrt(7) + 2038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01210584 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8025.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**3\/6 + 19*v**2 - 45*v. What is the units digit of c(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let v(m) = m**2 - 4*m. Let a(s) = -3*c(s) + v(s). Let i(r) = 2*r**3 - 10*r**2 + 10*r. Let j = 5 - 4. Determine j*i(n) + 10*a(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*y**2 + 48*y**3 - 116*y**2 + 65*y**2.\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.4576 millimeters to nanometers.\nAnswer: 159457600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = 4. Let r be 2\/z*(-2 - -5). Let y(l) = 6*l**2 - 4*l**2 + 0*l**2 - 4*l**r. Let s(p) = -p**2. What is y(s(o))?\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**3 + 5129*m + 6*m**3 - 10260*m + 5131*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 2:08 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(18)\/sqrt(6)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwjwjwtwwwbjjwbzbzz. What is prob of picking 3 w?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -415524, -3324137, -11218942, -26593035, -51939512, -89751469?\n\"Answer: -415516*x**3 - x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 7*m + 2*b - 23, -4*b + 11 - 8 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*w - 15*w + 7*w + 16*w)*(-7 + 0 - 4).\nAnswer: -1177*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 476.6 or -12?\nAnswer: 476.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23601 - 9978. Is r a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*v - 2*v + 2*v)*(-3 + 5 + 0) + 15 - 10 + 2*v - 3)*(-40*v**3 + 79*v**3 + 15 - 42*v**3) to h + d*v**3 + m*v**2 + s*v**4 + z*v and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 86*u**2 + 88*u + 353. Determine x(-87).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - -3661627?\nAnswer: 3661652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 9) to base 4\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.73 + 198.27. Let f = m - 199.000000179. Round f to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011188674 to seven decimal places.\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 1076.\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heh when three letters picked without replacement from wwdheawhhdddd?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 2328*z**2 + 75876*z - 142464.\nAnswer: 3*(z - 742)*(z - 32)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muummmmummuuuu. Give prob of picking 1 m and 1 u.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1\/3 (c) 11 (d) 2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 214777 smaller than 214777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/42 and 131\/2886.\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 22 = -27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/(6*(-18)\/(-180))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 276984.4 millimeters?\nAnswer: 276.9844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*g = 4*g + 24, -2*g = -5*k + 45. Let o be (3*(-2)\/(-9))\/(5\/k). What is i in -o*i**5 + 2\/5*i + 4\/15 - 28\/15*i**2 + 8\/5*i**4 + 8\/15*i**3 = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-6)\/2)*2\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0 - 12. Suppose 3*h = 5*u + 73 - 1564, 3*h - 1209 = -t*u. Let z = 749 - u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3335 and 348?\nAnswer: 40020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 - 42. Suppose 0 = g - 1 - 6. What is the greatest common factor of w and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22044 and 181392?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h*j*p**3 - 44*h*j + 2*h*p**3 + h - 23*j*p + 9*j with respect to p.\nAnswer: 15*h*j*p**2 + 6*h*p**2 - 23*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/8136 and 47\/99?\nAnswer: 89496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 + 1 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -308*f + 299*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:11 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -15) + -14 - -9 - (3 - 3 - -21).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/7)*(((c*c*c\/c**(-3\/13))\/c)\/c*c)\/c assuming c is positive.\nAnswer: c**(164\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2750581.\nAnswer: 43, 47, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1113 + -1116. Is 18\/31 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 + 3*p. Let x be (2 - 7)*(0 + 1). Let r(h) = 115*h - 2*h**2 - 108*h - 1 - 4*h**2. Let k(o) = x*q(o) + 2*r(o). Factor k(y).\nAnswer: (y - 1)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391 - 16*y + 391.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 8*o + 24. Let f be q(7). Let b = -30 + f. Suppose -53*c = -b*c - 18. Solve -2*w + 4*d = -c, -5*w + 5*d - 1 + 6 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*y - 30, -5*f - 8 - 17 = 3*y. Let o be (-2)\/f - 856\/(-32). What is the second derivative of o*j - 22*j - 7*j**3 - 17*j**3 wrt j?\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/567840 and -191\/40560?\nAnswer: 567840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.9? (a) -2\/47 (b) 0.0084 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i. Let x(h) = -14*h**2. What is x(g(t))?\nAnswer: -224*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-15 - (-11 + (3 - 3)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46 + 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 4. Let f be v(-2). Let o(h) = 2*h - 5. Let y(a) = 105900 - 3*a + 4*a - 105904. Determine f*o(m) - 6*y(m).\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.346 * 0.2.\nAnswer: -4.2692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -19. Let i(y) be the second derivative of 0*y**4 + 0 + 0*y**5 - 1\/6*y**3 + 2*y + 0*y**2 - 1\/30*y**o. What is the second derivative of i(p) wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60955.9796 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 2 - k - 2*k + 6.\nAnswer: -5*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 116*k**2. Let b(z) = 5*z**2. Calculate p(b(w)).\nAnswer: 2900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*d**2*w**3 - 189067*d**2 - 2*d*w**3 - 2*d*w**2 + 106*d*w - 651*d + 3*w wrt d.\nAnswer: 52*w**3 - 378134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3187*q + 3170*q - 6401*q.\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) + (-74)\/(-14). Let d = 7 + -1. Let z(b) = 4 - d*b + 4*b - j. Determine z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29291931 and 89311?\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 119353, 119337, 119311, 119275, 119229, 119173, 119107?\n\"Answer: -5*u**2 - u + 119359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:43 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (78\/2)\/((-15)\/5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3440, 6428, 9416, 12404, 15392, 18380?\nAnswer: 21368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 4 + 4*o**2 - 3*o**2 - 3*o**2. Suppose m - 5*h = -h + 5, -5*h = 0. Let t = 298 + -294. Let c(i) = 2*i**2 - 3*i + 5. Determine m*g(d) + t*c(d).\nAnswer: -2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50536.\nAnswer: 2, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3\/3 - j**2\/2 + 3. Let g = 54 + -53. Let n(d) = -2*d. What is g*x(l) - n(l)?\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 944, 1402, 1852, 2294?\nAnswer: 2728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 p when three letters picked without replacement from bptpttjtbp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 + 235*k**3 - 2640*k**2 - 2880*k = 0. Calculate k.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30093219 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2010?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -9 - (42 + -30 + (-1 - -1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 20)*((-1 - 1 + 0)*(-1 + 4 - 1) - 2 + 2 + 2)*(-5*s + 3*s + 3*s).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u - 43. Let n be q(-17). Calculate the highest common factor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 162\/251 in -4, -2, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 379563476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*q - q = -11, -3*n = q - 11. Let r = -2831999\/246 - -11512. Let u = r - -1\/41. What is the nearest to 0.1 in u, n, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-3))\/(40\/48). Let m(w) be the first derivative of 5*w - 6 + 12*w**2 - o*w**3 - 12*w**2. What is the derivative of m(l) wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 75*t + 16. Let m be o(38). Suppose 4*x = 3*v - m, v - 48 = -2*v + 2*x. What is the greatest common factor of v and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 4*g, 0 = -b - 2*b - 4*g + 5. Let v = 4 + -2. Let w be (-3 + 1 - -2) + 5. Solve b = v*l + w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6cc (base 16) in base 8?\nAnswer: -3314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - -1.94. Let v = r + -6. Which is the third smallest value? (a) -2 (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 - 192 = -24*a. Calculate the remainder when 318 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3. Let b(n) = 8. Let z(w) = -11*a(w) - 4*b(w). Let k(d) = -d - 2. Let u = 133 + -139. Let c(l) = u*z(l) + k(l). What is c(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = p - 9*k + 14*k, 4*p - 4*k - 1572 = 0. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-2) + 17)\/((-1)\/2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55035120 divided by 655180.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1592\/(-44)) + ((-141)\/1551)\/(2\/4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3\/4 - 23*d**2\/2 + 132*d = 0.\nAnswer: 0, 22, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 406991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17589312 divided by 9477?\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 - 5*x**2 + 3*x - 37. Let z(a) = 2*a**3 + 3*a**2 - 2*a + 19. What is -3*i(f) - 5*z(f)?\nAnswer: 2*f**3 + f + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 2*s - 2. Let p(l) = -5*l**2 - 5*l + 176. Determine p(w) + 3*z(w).\nAnswer: -2*w**2 + w + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8 + (-5)\/(45\/(-40752))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13331 + -11?\nAnswer: -20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 2 (c) -0.8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -833298, -1666558, -2499818?\n\"Answer: -833260*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7926011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*s + 5*i + 33 = 0, -5*i - 5 = 0. Suppose -s*b + 420 = 14. Calculate the remainder when b is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2878 and 117282.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*12\/756*3*-9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -4, -3, 21 in increasing order.\nAnswer: -5, -4, -3, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21193 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 + 3*v**3 - 5*v**3 + 7*v**3 - 2*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4822846 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 12) to base 13\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/2 - 479*j - 960 = 0.\nAnswer: -2, 960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 105*n. Let q(t) = 3*t + 10. Let u(v) = 209*v + 660. Let i(l) = -66*q(l) + u(l). Determine j(i(m)).\nAnswer: 1155*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*v + 34, 0*v = -3*z - 4*v - 51. Let c = -13 - z. Suppose 5*n - c*d + 35 - 159 = 0, n - 3*d = 27. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -5. Let j = -11 + n. Sort 0, -4, j.\nAnswer: j, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m + 16*m + 60*m**2 - 54*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smmbmswmtbbmf. Give prob of picking 1 t and 1 b.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4410335*y**2 - 10568513.\nAnswer: 8820670*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 3, 18376 in decreasing order.\nAnswer: 18376, 3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, j: 1, o: 2, c: 2, r: 5, a: 3}. Give prob of sequence ycr.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.6. Let u = -3.2 - -1.78. Let j = u + 1.42. Sort -4, j, k in ascending order.\nAnswer: -4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-10))\/(3\/(-30)). Suppose 3*p = y*p + 15. Let q(k) = -2*k - 5. Give q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/120 + g**5\/6 + g**4\/4 + 70*g**2. Let p be a(10). What is the greatest common factor of 210 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 5 + sqrt(175)*1 + sqrt(175) + -3*(sqrt(175) + -3 + sqrt(175)))**2.\nAnswer: -420*sqrt(7) + 1771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -5. Let z = -10 + 7. Let d be (15 - 2601\/187) + (-294)\/(-154). Which is the biggest value? (a) z (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g - 9. Let f(m) = m - 1. Let x(l) = -9*f(l) + k(l). Let a(s) = 2*s. What is a(x(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 0*t**3 - 14*t + 0*t**5 - 5\/4*t**4 + 0*t**2 - 1\/15*t**6 + 0. Find the third derivative of c(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1139000 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-856*i - 497*i**3 + 856*i)*(2 + 0 - 4*i + i) in the form h*i**2 + x*i**4 + n*i**3 + g + m*i and give n.\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 57*a - 31*a - 12 - 31*a - 6 - 4. Calculate c(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 24 + (-116 - -121 - 85).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.863714 and -9694.\nAnswer: -9691.136286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164070446?\nAnswer: 2, 263, 271, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665040195 to the power of 1\/3, to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 586, -0.2, 6\/7, -31\/22 in decreasing order.\nAnswer: 586, 6\/7, -0.2, -31\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + -4*((sqrt(176) + -4 + sqrt(176))*-6 + 5 + 1)))**2.\nAnswer: -188928*sqrt(11) + 1682532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 10*t**2 + 6*t + 60. Let k be x(-10). Suppose -y + 6 = -0*y. Solve -m + y - 4 = k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -31, -0.1, -1\/308582 in increasing order.\nAnswer: -31, -0.1, -1\/308582, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/10*10\/4022. Let h = 26011\/88484 + d. Let a = 8\/55 - h. Calculate the common denominator of a and -55\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99777 + 99754.9989. Let w = -72 + 50. Let i = w - p. Round i to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3781 or -3791?\nAnswer: -3781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = u - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 326 and 53301.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) + (-64)\/(-12). What is the remainder when (9\/y)\/(3\/68) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-3420)*-20)\/((-6)\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8702952?\nAnswer: 2, 3, 107, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3307, 38, -2\/7, -1\/2, 104 in decreasing order.\nAnswer: 104, 38, -2\/7, -1\/2, -3307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 7, i: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 541002427 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -34*t - 19. What is c(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 7. Let s be o(6). Let u be 30\/25*(-5)\/(-2). Let x(l) = -81*l**3 + u - l**2 + 82*l**3 - 5*l**2 + 4*l. Give x(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1194 = 3*h - 396. Suppose -7*s = -3*s + 144. Is 15 a factor of h\/(-18) + (-8)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -280 - -633. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 19) + (-111 - -119)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-12)\/(-72) + (-350570)\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -5, 3, -16, 4 in increasing order.\nAnswer: -16, -5, -1\/6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -399*j + 237. Let p(g) = -4*g. Let o(k) = b(k) + 4*p(k). Differentiate o(d) wrt d.\nAnswer: -415","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**2 + 35*r**3 - 20*r**3 - 8*r**3.\nAnswer: 7*r**3 - 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 9. Let o be d(-7). Let x = o + 82. Let u(m) = m. Let b be u(6). What is the greatest common factor of x and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.069 and -4?\nAnswer: -0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-21)*1372\/(-980)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -5*g + a + a, 4*a = -3*g + 235. Calculate the least common multiple of 272 and g.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3879561 divided by 111.\nAnswer: 34951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3*z**2 - 22*y**2*z**2 - 248*y**2*z - 834*y*z**2 - 23*y*z wrt y?\nAnswer: 12*y*z**2 - 44*z**2 - 496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + -2 + 2*sqrt(2) - (-1 + (sqrt(18)*-4)\/sqrt(9))**2).\nAnswer: -33 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 15, g: 5}.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.12 - -16.88. What is the second biggest value in y, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 14 (c) -1 (d) -1\/2 (e) 3 (f) -67 (g) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-81)*45\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/10 - (3 - 1159\/5). Suppose -5*r - 21 = -4*z + m, 5*r + 315 = 5*z. Suppose 227 = 3*b + z. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -748, -2964, -6670, -11872, -18576, -26788, -36514, -47760?\n\"Answer: -w**3 - 739*w**2 + 8*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(2\/8). Let g = 72 - 63. Let f(b) = 2. Let h(k) = -k - 9. Let o(r) = -3*r - 27. Let d(s) = 17*h(s) - 6*o(s). Give g*f(q) + n*d(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8674471 - -2?\nAnswer: -8674469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 8644*h**2 + 43120*h.\nAnswer: 4*h*(h - 2156)*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 - b + b)*(0 + 2 - 5) + (-2*b**2 + 2*b**2 + 3*b**2)*(4*b + 11*b + 10*b).\nAnswer: 72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {v: 1, z: 2, o: 3, c: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 1:21 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from pwtbkabwpwpw?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*k = -k - 20, 5*k = 2*l - 28. Let q be ((-1)\/l)\/(12 + -11). What is the nearest to -1 in 6\/5, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 7*r**2 - 6*r - 3. Let y be o(6). What is the tens digit of (9\/3)\/y + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 0*i + i + 13 - 2. Let r be d(0). Suppose -7*t + 14*t = 616. Calculate the greatest common factor of r and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 77 = -18. Let f = -16 - b. What is the greatest common divisor of 21 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -3, -29, -6 in decreasing order.\nAnswer: 3, -1, -3, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/13 - 596*g\/13 - 44402\/13.\nAnswer: -2*(g + 149)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1)\/(-115 + 124). Solve 4*t - c = -13, 2*c + 1 = -t - k 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 0.03, 6887\/11, -0.3, -1, 3\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 23219.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -231 + 25?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = o + 3*o, k - 7 = o. Let l be (69\/42)\/((-1)\/o). Let n = l - 193\/63. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180038339.\nAnswer: 13, 41, 149, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 3*t + 2. Let k(m) = m**3 + 4*m**2 + 27*m + 104. Let r be k(-4). Give c(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34015633891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/10)*q*q**(-1\/4)\/q*q*(q*q**(-2)*q)**18*(q*q**(-5)*q**(2\/9))\/(q*q**5*q**(6\/5)) assuming q is positive.\nAnswer: q**(-1859\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l**2 + 6*l + 3. Suppose -13 + 7 = -j. Let d be b(j). Let p be (-2)\/9 + 40\/18. Solve -p*o = -d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1728) - (sqrt(1728)*1 - sqrt(1728)) - sqrt(1728))*2)\/(((sqrt(4) - (sqrt(4) + sqrt(4)*-1))*-5 - sqrt(4) - sqrt(324)*-1)*-3) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 8:03 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 3781491?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16632547 * 0.3\nAnswer: 4989764.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2. Let s(l) be the first derivative of -2\/3*l**3 - 3*l**2 + 0*l + 76. What is p(s(z))?\nAnswer: -20*z**4 - 120*z**3 - 180*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(22\/3)*n)**(-7\/6))**(-21))**13)**(2\/9) assuming n is positive.\nAnswer: n**(15925\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-118)\/7 + 16)*(-3)\/(78\/(-14))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 13*o**2 + 4*o - 43. What is v(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 15, 113?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-25) + 0 - (-16422)\/(-22015)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f - f + (-32*f - 12*f + 5*f)*(0 - 2 + 0))*(0 + 2*f + 0 + (2 - 2 - 1)*(3*f - f - 4*f) - 5*f + 4*f + 0*f - 2*f - f + 4*f + 1 + f - 1).\nAnswer: 400*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001010101 - 110?\nAnswer: 10000001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3848 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14189.\nAnswer: 7, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from wryw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1735 + -1735. Sort -7, -17, y in ascending order.\nAnswer: -17, -7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**6\/1440 + s**5\/80 - 3*s**4\/32 - s**3 + 2. Let w(i) be the third derivative of u(i). Factor w(a).\nAnswer: -(a - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4290 or -2\/3?\nAnswer: -1\/4290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = -105. Let x = 0 - -16. Calculate the greatest common factor of u and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68 - 15*j - 2*j**3 + 36 - j**2 + 34 to r + p*j + b*j**2 + h*j**3 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 10*t**2 + 9*t. Calculate g(10).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15909830 or 15909829?\nAnswer: 15909830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418182 is divided by 46448.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15c (base 14) in base 2?\nAnswer: 100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 2*b**2 - 2*b + 4. Let j be v(3). Let h = 3 - j. Put -3, h, -5 in increasing order.\nAnswer: -5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 11*r**2 - 201*r - 2003. Calculate h(-8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13499\/2205 + -5\/441. Let v = 11\/334 + -17999\/9018. Find the common denominator of m and v.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1014 and 46\/4953.\nAnswer: 128778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 2*t**2 - 2*t + 2. Let z be y(0). Solve x + 2*k - 9 = z*x, -k = -2*x - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 11*f + 28 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smsosssowmsswtmmw. What is prob of sequence oso?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -5 + 4 - 7 - (-3 + 0 + 74).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -781344, -781325, -781288, -781233?\nAnswer: -781160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152.99999568 + -153. What is f rounded to 7 dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 10. Let v be b(14). Suppose 6 = 3*w - 3. Solve 2*k + k = -5*n + 4, k = -w*n + v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-28)\/(-294)*-3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 563661 (base 7) to base 16\nAnswer: 185df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 54*j - 107*j + 51*j. Let b(c) = 26*c. Give b(s(n)).\nAnswer: -52*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j**2 + j + 6. Let f(l) = -31*l**2 + 26*l - 1. Let s(a) = f(a) - 4*k(a). What is s(-22)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 20*a**2 + 20*a - 7. Let d(p) = p**3 + 21*p**2 - 20*p + 6. Let h(z) = 3*d(z) + 2*s(z). Calculate the lowest common multiple of h(22) and 4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*((-8)\/3)\/(-4). Let q = 1 - f. Suppose q*j - 14 = 36. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3 - 1300*a**2 + 13336*a - 21440 = 0.\nAnswer: -335, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 - -7) - 26) + 92.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 8. Let v = -39 + 33. What is l(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + 2 + sqrt(19)*2) + ((-6*1*sqrt(95))\/(sqrt(10)\/sqrt(32)))**2.\nAnswer: 12*sqrt(19) + 10956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 113797 times -1\nAnswer: -113797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112212 + -2?\nAnswer: 112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = i - 10, -37*i + b = -39*i + 34. Calculate the least common multiple of 40 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 4*j - 31, -2*f - 80 = j - 90 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 422748 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 118*j**2 + j + 8. Let c be y(6). Let p = c + -1742. Round p to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) 5 (c) -2\/7 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37271 + 8400 - 26401 = -47*s. What is the smallest common multiple of 1176 and s?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.10241 rounded to 1 dp?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from uuvvvvuvvuuuv?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422 and 9073?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - 60389*d + 3024450. Determine l(50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 1\/30*c**6 + 7\/60*c**5 + 1\/12*c**4 + 0 + 0*c - c**2 - 1\/6*c**3. Let p(t) = 0. What is t?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149876107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63441 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33178, 66400, 99632, 132880, 166150, 199448, 232780?\n\"Answer: o**3 - o**2 + 33218*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1370, 1372, 1374, 1376, 1378?\n\"Answer: 2*r + 1368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + y + 1. Suppose 11*k - 27 = 39. Let f(g) = -2*g**2 + 7*g + 5. Calculate k*t(w) - f(w).\nAnswer: -4*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.9 and 2171 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00950861 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 29 + o - 2)*(-o - 2*o + o) in the form y + n*o**2 + f*o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/9459?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 10*c - 13*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 647.157 + 11907.192. Let u = -12561 + c. Let k = -0.051 - u. Round k to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33659 - 33059. Solve 165*h + x = 45*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d. Let a(n) be the first derivative of 13*n**2\/2 + 2. Suppose -5*t = -2*g - 38, -2*t = 2*g + 9 + 1. Give g*w(v) - 2*a(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -6.2.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*r + 60, 3*i - 2*r + 12 = 2*i. Let a = i - -16. Suppose -a*f + 134 = -1374. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:17 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -148\/7*z**3 - 8\/7*z - 60\/7*z**2 + 0 - 36\/7*z**5 - 132\/7*z**4 = 0.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 3064556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 431 and 117347077?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -356 + 355.9. Which is the third smallest value? (a) 1\/9 (b) 14 (c) 2\/15 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27044 + 279*x + 27044 in the form d + f*x and give f.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3 = -7. Suppose -d*c - c = -6. Let j(x) = 4*x**2 + 2*x - 3. Is j(c) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j + 4*i - 53 = 0, -4*j - i + 62 = 0. Suppose -3*b + 2430 = j*b. What is the highest common factor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p + 2. Suppose 5*s - 211 = -41. Let t(v) = 17 + 9 + 10 - s*v - 47. Determine -2*t(o) - 11*u(o).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -7*r - 4*j + 682, -5*r + 5*j = -1160. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from phpheszgzgph.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*(sqrt(425) + (sqrt(425) + sqrt(425) + -2)*3 + sqrt(425) - (4 + (-2*sqrt(425) - sqrt(425)) + sqrt(425)))*-2)**2.\nAnswer: -1296000*sqrt(17) + 55209600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 2*g + 5. Determine l(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -182, -3, 198, 0, 5 in increasing order.\nAnswer: -182, -3, 0, 5, 44, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -21. Suppose -3*n + 2*q = 1337, -3*n + v*q - 1331 = 2*q. Let x = -4934\/11 - n. Calculate the common denominator of -43 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -5 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.3 + -14. Let y = 9 + t. Let h = -0.6 + 1. What is the third biggest value in y, -2\/3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9)*9\/3. Suppose 0*k = j - b*k + 1, -3*j + 5 = -4*k. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m. Let r(j) = 15*j**2 + 3*j. Give r(y(w)).\nAnswer: 240*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(70\/20) + (-94)\/35?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -10045.15.\nAnswer: -10046.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.08894814?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 105*b**3 + 40*b. Let r(h) = h. Give 200*r(i) - 5*y(i).\nAnswer: -525*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 7*y**2 - 12*y + 20. Give l(6).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**2 + 2*l + 1. Let n be k(-1). Solve -2 = m - x, -n*m + x - 2 = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-9) + -1)*-9. Suppose w*y = 3*y. Suppose y = 4*n - 1 - 27. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, o: 2, b: 1, x: 4, h: 3}. Give prob of picking 2 x, 1 b, and 1 h.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3295*l + 602*l - 5795*l + 379*l in the form p + g*l and give g.\nAnswer: -8109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -2.1\nAnswer: -23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose z + 22 = 2*i. What is the remainder when (-3)\/((3\/46)\/(-1)) is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0 + 2\/15*o**6 + 1\/60*o**5 + 0*o**4 + 0*o - 6*o**2 - 1\/6*o**3. Let b be g(1). Solve -2*z + 11 = 3*n, 6*n - n - b = -z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 264, 1061, 2382, 4221, 6572, 9429?\n\"Answer: -u**3 + 268*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b + 5*a = -14, 8 = -4*a. Suppose -5*c - b*w = -1330 - 3883, 3*w = 6. List the prime factors of c.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167626?\nAnswer: 2, 83813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13461001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (1 - (0 + -1)) + 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6902854 and 1591?\nAnswer: 6904445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(2*sqrt(9) - sqrt(9)) + sqrt(11) + (3 + sqrt(11)*-5)**2 + (sqrt(22)\/sqrt(98) - sqrt(121)\/(-5*sqrt(11))).\nAnswer: -968*sqrt(11)\/35 + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 17. Let s = j - 3. Suppose 5*o = -3*t + 480, o = t + s*o - 167. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -90. Suppose 0 = 11*z + g. Let i(t) = -t**2 - 6*t - 5. Let x be i(z). Solve x*o + 3 = -k - 2*k, -o = -k - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*d**4*j - 19*d**4 + 32*d**3*j + 2*d**3 + 48781*d**2 + 3*j wrt d.\nAnswer: 960*d*j - 456*d + 192*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22024 - -0.12024. What is the biggest value in 4\/7, -4\/7, f, -3792\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 37 - 12. Suppose -3*o + 14 + 10 = 3*r, -2*r + 28 = i*o. Find the second derivative of 2*h - 5*h - 4*h**2 + r*h**2 - 4*h**2 wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -25 - -8) + (-29 - 0)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -112*k**2 + 21*k. Let o(w) = 22*w**2 - 4*w. Let i(m) = 4*g(m) + 21*o(m). Let z(l) = -10*l. Calculate i(z(n)).\nAnswer: 1400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.79 + 22.39. Let u = -20.60053 + i. What is u rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, 0.9, 462, -3, 61 in increasing order.\nAnswer: -3, -0.5, 0.9, 2, 61, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -82, -165, -260, -355, -438, -497?\n\"Answer: 2*x**3 - 24*x**2 - x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 156 and -0.06?\nAnswer: 156.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -257234493*r**3*x - 3*r**2*x - 43*r**2 + 26563*r wrt r.\nAnswer: -1543406958*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12877 and 10424665?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2422 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 0, -6, 1, 2 in ascending order.\nAnswer: -100, -6, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.65 - -0.65. Let s = -0.4 - -0.45. Which is bigger: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 4:14 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-135996)\/112*(-16)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31266294.\nAnswer: 2, 3, 131, 39779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 1:20 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:24 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 1061.6.\nAnswer: 1061.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 8749.\nAnswer: 87490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + -1 + sqrt(68) + (sqrt(68) + 2)*4 + 4)**2.\nAnswer: 140*sqrt(17) + 1749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 b, and 1 y when four letters picked without replacement from {z: 2, u: 2, b: 1, y: 1, t: 2, x: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141901.\nAnswer: 41, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(378)\/sqrt(6))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = x. Let r be 0\/(x + -2) - 2. What is the remainder when 49 is divided by 3\/(-6)*68\/r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*h - 23*h - 345. Let u = 66 - h. Sort 2\/11, u, 2\/15 in descending order.\nAnswer: 2\/11, 2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from {r: 1, s: 2, z: 1, e: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, 2\/9, 10, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u + 5 + 4697980*u**3 + 0 - 4697861*u**3 in the form f*u + i*u**2 + h + s*u**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**2)\/m)\/m*m*m**10*m**(-9\/2)\/(m*m*((m*m\/(m**(-10\/7)\/m))\/m)\/m*m) assuming m is positive.\nAnswer: m**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144 + 50. Let w = z + 112. Calculate the highest common factor of w and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**2 + 136*t - 24. What is the remainder when g(19) is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*3696\/(-104412).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -28, 3, 120, 365, 780, 1407, 2288?\nAnswer: 3465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((221\/(-52))\/(-17))\/(3\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25831333 * -5\nAnswer: 129156665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v - 52 = 0. Let j = v + 51. What is the tens digit of (3\/2)\/(j\/(-22))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 454\/10 + (-26)\/65. Let k = f + -26. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/6 (b) -1 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.45 - 0.44. Let c = l + 0.29. Sort c, 0.4, -3 in increasing order.\nAnswer: -3, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + -3 - (-1*sqrt(15))\/sqrt(5) - (1 + sqrt(75) + 0 + 2)**2.\nAnswer: -87 - 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 743, 4, -1, -2, 6 in ascending order.\nAnswer: -2, -1, 4, 6, 21, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0.03, -651, -2\/189?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000764621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 147*l - 103*l - 3*l**3 - 4*l**4 + 248*l to v*l + q + d*l**4 + x*l**3 + j*l**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - g - 7*g - g. Let c(s) be the first derivative of -7*s**2\/2 + 2120. Calculate v(c(f)).\nAnswer: 77*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*v**2 + 5*v + 0.\nAnswer: v*(v + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 6) in base 16?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.2762 - 19.3. What is s rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 194 + 2216 = 0. Let v = -259 + t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/51)\/((-1 + -2)\/(-27 - -2 - -26)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 2 + (5 - 4 - 2)*(4 + 0 - 3) + 0 + 3 - 2 + 2 - 1 - 3 + 1 + 0 - 5)*(-115*i + 227*i + 878*i) in the form f*i + l and give f.\nAnswer: -2970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 5. Let x = 6.005 + a. What is x rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14344, 28687, 43030, 57373?\n\"Answer: 14343*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1902?\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*c - 5 + (17 + 7 + 8)*(2*c + 3*c - 4*c))*(-1 - 37*c + 1).\nAnswer: -1258*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 89?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*s + 33*s + 36. Suppose -s*v + 0*v = 24. Which is the third biggest value? (a) v (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -904 + 409. Is (-4)\/((-24)\/p)*(-6)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -5\/27 (c) 5 (d) 606\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6345 - 2.6345225065. What is a rounded to seven dps?\nAnswer: -0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/160?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*d - 5*d + 1452, 4*y + 2*d = 5736. Round y to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*w**3 + 8*w**2 + 4 - 145*w**3 - 6 + 88*w**3 to a*w**2 + b*w**3 + r + s*w and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 17*c**2 - 3. Let r(i) = -10*i**3 + 84*i**2 - 16. What is -16*o(y) + 3*r(y)?\nAnswer: 2*y**3 - 20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-20))\/1*3\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796294909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 2*q**2 + q + 598. Let g be l(0). Let j = -310 + g. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -649798 divided by -324899.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*j - 69594797 = -69600315 for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**5 - u**2 + 2*u**2 - 2*u**5)*(9 + 5 - 13).\nAnswer: -3*u**5 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 11*q**2 + q - 7. Let i be w(11). Let a(j) = 14*j + 52. Let z be a(-6). Let x = z + 36. Solve x*n - 8*n = i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 10. Let g be j\/4 - 3\/36*6. Solve -g = -3*t + 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8*18)\/((-33)\/(-22)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r**2 + 130*r + 21. What is the least common multiple of y(11) and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 11\/10 (b) -3\/1873 (c) -2 (d) 1\/3 (e) -1 (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/12 of a millennium?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2812068*b**3 + 12970*b**2 + 62*b wrt b?\nAnswer: 16872408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 5*w - 4. Suppose 0 = 5*t - 2*t - 9. Let p be h(t). Calculate the remainder when -1 - -2 - (p + 1) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/13920 and 83\/32400?\nAnswer: 1879200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3665 + -749. Calculate the greatest common divisor of s and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(208).\nAnswer: 3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3999 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 3*s**2 - 3*s**2)*(-2*s - 2*s + 2*s) + 17*s**3 + 26*s**3 - 8*s**3 - 5*s**3 + s**3 + 2*s**3.\nAnswer: 37*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 5*h + 3*j, h + 0*j + j - 22 = 0. Let m be (66\/h)\/((-1)\/(-6)). Let d = m + -2. Calculate the greatest common divisor of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y - 94*y = -30*y + 126 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01667 and -1635691.\nAnswer: -1635691.01667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332 - 140?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 4601 and -187.\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 5. Let d be 2 + (1 - 2)*t. Suppose 0 = d*p - 4 - 11. Solve 4*n + 6 = -p*c, 3 = 5*n - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2666950 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -966 + 972. Let z(j) = -2*j + 20. What is z(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 22*x**2. Let o be l(1). Let z(g) = 3*g - 1. Let i be (1 - 0)\/(-1 + 2). Let p be z(i). Solve -3*u = -5*c - o, -p*u = 4*c - u + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -263.5 + 153.9. Round t to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6*d = 8. Suppose -4*h + q = -h - 7, 5*h - q - 9 = 0. Suppose h = -s + d. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/6625 and -8\/75.\nAnswer: 19875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18060 and 4092740?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237 - 237. Solve -5*k + 3*r - 2 - 15 = 0, t = -r + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 17*g**3 + 2 - 30*g + 9*g**3 - 3 to w*g + f + l*g**2 + s*g**3 and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, 0, -977, -2\/15, 132, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -2.3. Which is the closest to 0? (a) 6 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 2d?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 - 21*z - 20*z + 37*z.\nAnswer: 9*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 7) in base 14?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qazk when four letters picked without replacement from {q: 1, r: 1, k: 1, z: 2, f: 1, a: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182.61 + -182.51. Which is smaller: k or 19250?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p = -2*p + 104 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 3*h + 7. Calculate r(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -355095 by 39455.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8526669365802285\/82985077257548 - -72\/3943407967. Let m = d - -3\/5261. Let v = m + -102. Is v equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5 - 8919\/(-345). Let o = c + -10351\/460. Calculate the common denominator of -65\/22 and o.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 709462.5138 and 11142.6.\nAnswer: 720605.1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 61*m - 29. What is the units digit of u(36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3944 = 3*f, 4*f - 5252 = -2*o - 0*o. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Which is the nearest to -3? (a) -4 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-8)\/72*-21. Suppose -5*g + 5*b = -5, 0 = -0*g + 3*g - 4*b - 6. What is the second biggest value in g, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**2 - 145*h - 115. Let z(s) be the second derivative of -19\/2*s**2 - 1\/12*s**4 + 17*s - 4*s**3 + 0. Let w(l) = 4*q(l) - 25*z(l). Factor w(v).\nAnswer: 5*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**6\/27 + 2*x**5\/15 + x**4\/18 - 2*x**3\/9 - 2*x**2\/9 - 5. Find g such that k(g) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 + -40 + 45 - (0 - 14)) + -13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z. Let x(b) be the first derivative of -4*b**2 - b - 365. What is -7*i(g) - 3*x(g)?\nAnswer: -4*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1326*z**3 + 75 - 75 - 56*z + 1353*z**3 in the form x*z + u + j*z**3 + d*z**2 and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 5 - 5)*(2*s - 3*s + 2*s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 555? (a) 6.46 (b) 0.11 (c) 2\/19 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**3 + 3*p**2\/2 - 4*p + 4. Let s(t) = -2*t**2 + 2*t - 3. Determine 3*d(v) - 4*s(v).\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95489366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 215 - 211. Let m be -2 + (-155)\/(-50) + 4\/10. Which is the nearest to 0.2? (a) d (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127494360.\nAnswer: 2, 3, 5, 7, 50593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 5 - -3) + 36. Suppose 0 = p*b - 41*b + 88. Suppose -h = 2*h - 2*j + 2, b = h + 5*j. Solve -1 = -h*v - 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2121 - -100?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*l + 2*d + 6, 3*d - 3 = -l. Let u(s) = -3*s**2 - 12*s - 3. Let b(f) = f - 1. Let z(a) = l*b(a) + u(a). Suppose z(m) = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 405?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -3 + (-10 - (12 - 22))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + 55*p. What is u(-22)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27048876 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 29. Let a(d) = -3*d - 29. Let y(i) = -3*a(i) + 2*p(i). Is y(0) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3614.\nAnswer: 2, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 8)\/(-2 - 0). Is k less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*n + 24, -v = 3*v - 3*n - 96. Suppose -1 = -v*s + 25*s. Put 5, 2, -4, s in descending order.\nAnswer: 5, 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**4 + v**4 + 3*v**4)*(0*v - 3*v + 4*v) - 2*v**5 + 5*v**5 + 63*v**5 + (-3*v + 3*v**5 + 3*v)*(4 - 6 + 3).\nAnswer: 68*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 42*y - 160. Suppose -15*s + 320 = 17*s. Is 10 a factor of h(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -456 + 455.6. What is the closest to 1.2 in k, 1, 2\/13, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447510589 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: What is fourty-three halves of a meter in millimeters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*n = 192*n + 5045 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1119 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*v = -5*v - 223, 2*v = -5*d + 351. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 870422751 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -45*a - 20. Let i(h) = 8*h + 1. Let z(v) = -b(v) - 6*i(v). Suppose -f - f = 10. Let l(d) = -2*d + 13. Let n(c) = f*l(c) + 4*z(c). Calculate n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-8\/9)\/j)\/(j**(-1)*j*j*j))\/(j**(2\/3)*j**(-1)\/j))**(3\/7) assuming j is positive.\nAnswer: j**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 28 - 5*l)*((-2*l + 3*l + 0*l)*(2*l - 3*l - l) + 161 - 161 + 25*l**2) as w*l**2 + d*l**3 + k*l + u and give d.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*t = 19, -k + 25 = 2*k + 5*t. Let a be (-8)\/(-2) - (-3)\/3. Solve 0*j = k*j - a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k. Let a(l) be the second derivative of 5*l**3\/6 - 2*l. Calculate a(c(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooyyyyoyyy. What is prob of sequence ooo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 661874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3366927, 281.\nAnswer: -1\/7, 281, 3366927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -i + 2*g, 4*i - 4*g - 25 = i. Suppose 28 = -m + 5*k + 34, i*m = 3*k + 54. Solve z - 14 - 5 = 3*s, -4*z + s + m = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38040925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75538755 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from jrrxjdk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302011 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 26. Let c be 24\/(-10)*35\/m*1. Is c\/(-14) + (-1564)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 386 = -3*k, -q + 372 = -0*q + 4*k. Let t = 773 - q. Suppose c - 19 + 432 = 2*u, 2*u - 5*c - t = 0. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. What is the closest to -1 in -3, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 43, 4, 1.\nAnswer: -5, 1, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529096?\nAnswer: 2, 191137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62 - -174. Let v = -59 + j. What is the lowest common multiple of 7 and v?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -12\/1482227?\nAnswer: -12\/1482227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 3*v**2 - 6*v + 6. Let y(w) = -w**2 + w - 1. Let h(s) = -g(s) - 6*y(s). Let z be h(-4). Calculate the greatest common divisor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 15 = -a, -31*a - n = -27*a + 46 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49813404*p**3 + 22713258*p**2.\nAnswer: -298880424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqgzvxv. What is prob of picking 1 q and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 5. Let o(y) = -47*y - 87*y**2 + 26*y + 21*y + 21*y**2. Calculate o(m(g)).\nAnswer: -66*g**4 + 660*g**2 - 1650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.063 and 559.85470362?\nAnswer: 559.91770362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - q + 2*q = 0. Let j = q - -18. Suppose 4 = -2*n, -j = -b + 2*n - 5*n. What is the highest common factor of b and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 521\/6 + -87. What is the second biggest value in -2, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -4. Let b(j) = j**2 + 6*j - 1. Let h be b(q). Solve -5*w + 15 = -2*d - 0, w - h = -2*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6014?\nAnswer: 2, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-10500)*-279 + (-1)\/25. Suppose -4*k - 18 = 2. What is the third biggest value in 6, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3170267.\nAnswer: 3170267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23146341 and -0.1?\nAnswer: 0.023146341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31408 divided by -13\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15027058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -604 or -603?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1046\/14 - 5319\/(-7092)*40\/(-42)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 22.989. Let a = 0.0617 + t. Let d = a + -0.05. What is d rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*-1*(-1*sqrt(104)*5)\/sqrt(8).\nAnswer: -10*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1741 + 0.8402.\nAnswer: -1740.1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/5 + (-2)\/(-5). Let q(t) = 3*t. Let a(c) = c. Let w(i) = -2*a(i) + q(i). Does 4 divide w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6*(-387)\/86)\/(1\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 9. Let d(b) = -b**2 + 2*b + 1. Let p be d(2). Suppose -1 - p = -y*h. Which is bigger: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26296620*n**5 + 24725156*n**2 wrt n?\nAnswer: -1577797200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -3. Let t = 15 + h. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5828 + -5083. What is the remainder when y is divided by 222?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -s - d, -5*d - 1508 = -1533 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 20 = 0. Suppose x + 0*t + h*t = 40, 5*x - 142 = 4*t. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/3384 and -58\/423?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 6*h**2 + 8*h + 7. Let f be r(-7). Let y be (-7 + 6)*f\/1. Which is the second biggest value? (a) y (b) -0.04 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1163 (base 9) in base 15?\nAnswer: -3cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaacaaaaaaaaaa. What is prob of sequence caa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15894382661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -132*j - 387 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*r + 24300, -5*m + 70209 + 51151 = -5*r. List the prime factors of m.\nAnswer: 3, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -3 + (-36)\/(-9) - 6. Let r = 76 - 61. Which is smaller: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19 - 1) + ((-396)\/(-12) - 38). Are 308 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u**2 - 74*u**2 + 38*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 7\/6725107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + -4.94. Let n = -2563 - -2563. Which is the closest to 0? (a) n (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - ((-3 - -1) + 22 + -25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 + 25240*b - 201988. Give x(8).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 1 (c) -2714\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 14) in base 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l + 31. Suppose -24*y + 3*c = -28*y + 72, 0 = -3*y - 3*c + 57. What is p(y)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*j. Is 2*(j + (-10)\/(-4)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 52 = 5*g. Let s = -7 + g. Let q(w) = 5*w + 27. Let f be q(-3). Calculate the highest common factor of s and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(90)*1)\/sqrt(6))\/((sqrt(192)*3 + sqrt(192) + sqrt(192) + sqrt(192) + sqrt(192))*1).\nAnswer: -sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 22933?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -327 and -325 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) + 171\/63. Is 10 a factor of 135\/6 + b - (-12)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k + 1\/24*k**4 + 0 + 1\/3*k**3 + 6*k**2. Give h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 404\/425953?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 5*m**2 - 6*m + 5. Let j(q) = q**3 + 12*q**2 - 13*q - 6. Let g be j(-13). Determine f(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 4341199?\nAnswer: -4341200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6446 and 50689.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 5*o + 15, 5*o + 3*c = -c - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -954?\nAnswer: 5\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1118154, -1118161, -1118174, -1118193?\n\"Answer: -3*a**2 + 2*a - 1118153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7562087 is divided by 1016?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20051*x + 8435*x + 9733*x.\nAnswer: -1883*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -163*c + 6320. What is j(40)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**2 + 18*j - 5. Let x be k(4). Let q be (0 + 25)*(-14 + (-5 - x)). What is the greatest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 101, 106, 117, 134, 157?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.964 - 0.036. Which is the closest to -1? (a) 2 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 4047.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 - 1 = 0. Suppose 2*h + 144 = i*h. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 144, 614, 1440, 2658, 4304, 6414?\n\"Answer: 6*u**3 + 142*u**2 + 2*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 89 + 87. Suppose 6900006 = -2*t + a*x, -4*t + 3*x = -2*t + 6900009. What is t rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6 = v + 4, -3*v = 2*k - 6. Suppose 4*s + k*s - 16 = 0. Suppose -6 + 3 = -3*p. Solve -5*a - 1 = 3*l, -s*l - 3*a + p = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*((5*1*sqrt(171))\/(sqrt(18)\/(2*sqrt(2))) + 5 + sqrt(19)*1 + 1 + 0).\nAnswer: 23 + 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 5*b - 8. Let u be k(4). Suppose -3*g = u*h + 166, -4*h = 2*g + 254 - 90. Let n = h + 69. What is the highest common divisor of n and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**5\/10 - 37*t**4\/12 - t**3\/2 - 6765*t**2\/2 + 384*t - 1. What is the derivative of b(s) wrt s?\nAnswer: -6*s**2 - 74*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 375686397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**2\/4 - 1605*r\/4 + 11823 = 0.\nAnswer: -563, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 165\/(-6))\/((-24)\/(-656)). Calculate the greatest common divisor of 34 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 410 - 401. What is the greatest common factor of t and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1846 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -39512 times 1\nAnswer: -39512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 - 6*x**5 - 16*x**5 + (33*x**3 - 316*x**2 + 316*x**2)*(5*x**2 - 4*x**2 + x**2).\nAnswer: 42*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54766.\nAnswer: 2, 139, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11082?\nAnswer: 2, 3, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1236\/(-2163) - (12345\/(-7) + -1). What is the greatest common factor of a and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 + 8. Let u be t(6). What is the highest common divisor of u and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -180 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*g**2 - 57*g**2 - 9*g**2.\nAnswer: -378*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 m when four letters picked without replacement from {m: 10, y: 3, g: 1, r: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 n when three letters picked without replacement from {u: 5, n: 15}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3264992 is divided by 1810.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 12734?\nAnswer: 50936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 186 + -108. What is the nearest to p in -4, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 8:18 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 25*l - 29 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-129)\/(-9))\/(1\/(-3)). Let d(u) = u**3 + 4*u**2 + 4*u + 2. Let s be d(-3). Is 15 a factor of (s - -3 - i)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8 - -2.3. Let l = 10 - 7. Which is the smallest value? (a) i (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/29 (b) -5 (c) -0.4 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2745)\/18)\/(182\/2) + 2. Let m = p + -1\/26. What is the closest to -1 in m, -0.5, -1\/10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 2025.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 29*t**2. Let m(c) = c**2 - 14. What is y(m(v))?\nAnswer: 29*v**4 - 812*v**2 + 5684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1217*1 - (-4 - (-5)\/5). Let y = v - -1797. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {u: 1, k: 5, n: 3, r: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 12:02 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -0.5, -0.06, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2) - (6 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 + 12 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1865396956)\/725432155 - 18\/42 - -3. Let s = 1114781953217\/139282973760 + o. Let u = s + 13\/192. Find the common denominator of 7\/6 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*j**4 + 30*j**4 + 52*j**4 + (0*j**3 - 5*j**3 + 4*j**3)*(-4*j - j + 3*j)*(-3 + 4 + 1) in the form a + o*j**2 + k*j**3 + l*j + h*j**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7906 or 0.7?\nAnswer: -7906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.52 - -5.52. What is the nearest to k in 5, -1\/6, 5\/4, -3\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 15*m = -23*m + 33 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = 0. Suppose -u + 5*h - 2 + 23 = 0, -5*u + h + 33 = n. Solve 2*r = -5*o - u - 9, r = 4*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.13 and 6.\nAnswer: -6.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 44 + 36*z**2 to the form c*z**2 + t + y*z and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -398.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 2*j + 0*j)*(42 + 1 + 17)*(-2*j - 3*j + 3*j) in the form q + k*j**2 + h*j and give k.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45535350 - 45534309.05906. Let f = -1038.79094117 + w. Let g = -2.15 + f. Round g to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3, 282 in ascending order.\nAnswer: 1\/2, 3, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/5)\/((-1)\/(-30)). Suppose 46*z = -2*z - 1200. Let m = t - z. Is m < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, 14, -280, -6 in decreasing order.\nAnswer: 219, 14, -6, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2\/125 of a millisecond?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 17 = 3*s - 4*r, s - 6 = 2*r. Suppose -5*p - 71 = -s*c + 8, 1 = c + 5*p. What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2263, 1, 7, -8, -5, -9 in descending order.\nAnswer: 2263, 7, 1, -5, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + 39 - 16 - -46) + (-15 + 0 - -2).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -1 + (129 - 120)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -33*r - 2*r + 680. Solve h + 14 = -3*h + q, -3*h - 4*q = r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*s - 340 - 1113, 2 = 2*s. Suppose -4*t - 4*o = -2*o - 970, 3*t = o + n. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69653.1 millilitres in litres?\nAnswer: 69.6531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4488 and 979.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17419146 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: Which is the closest to 1\/3? (a) -21 (b) -2 (c) -1953 (d) 0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 57*x**4\/4 + 209*x**2\/2 + 347*x. What is the first derivative of z(f) wrt f?\nAnswer: 342*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*r - 1018 = -265*r - 607 + 2373 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2 - 500*t - 287. List the prime factors of r(61).\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -953 - -7621\/8. Let l = 4 - 1. Let j be (-3)\/(-6)*(-4)\/l. Which is the third biggest value? (a) j (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0. Suppose 2*s - 883 = 5*z + 5*s, 5*z - 2*s + 878 = 0. Let y be 1\/3*(-66)\/z. Which is the closest to -0.1? (a) p (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 9:41 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 45119720 to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dusuasusasqsqmuss. Give prob of picking 1 a and 1 s.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmfffdmmmfdfm. Give prob of sequence mf.\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 124?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -41, 6164, -2, 3 in decreasing order.\nAnswer: 6164, 4, 3, -2, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h - 3*t, -3*t + 16 = 4*h - 5*t. Suppose 3*j + 330 = h*j. Suppose 0 = -5*i + j - 55. Calculate the greatest common factor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 2 = -5*m - o, -3*m = 2*o - 4. Calculate the lowest common multiple of m and 19.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v + t - 13, 5*t - 32 = -4*v. Suppose 20*d + 12 = 24*d. Solve h - d = 2*l, -2*l = -v*l - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5050?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + (4*sqrt(130))\/sqrt(10))) + -4 + sqrt(832))**2.\nAnswer: -32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38670634\/35448061 + -2\/3222551. Let t = 5 - 3. Factor -2\/11*l**t + 0 - i*l.\nAnswer: -2*l*(l + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/249720 and -119\/2871780.\nAnswer: 5743560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-5 - 47\/(940\/120). Let n be -10 - 6*22\/c. Determine y so that 27\/2*y - 5\/2*y**n - 5 = 0.\nAnswer: 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*x**3 + 94*x**3 + 17*x**4 + (-x + 2 - 2)*(2*x**3 - 2*x**3 + 3*x**3).\nAnswer: 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**3\/6 - p**2\/2 + 20*p. Determine c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -64.00198. What is p rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1151857564 to the nearest integer?\nAnswer: 33939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 - 9 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o + 28 = -4*l, -l = 5*o + 216. What is the common denominator of (-3905)\/o*4\/(-10) and 2\/9 + (-215)\/198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29545\/(-4220) + (-12 - -19). Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 9. Let c(g) = g**2 - 8*g + 3. Let z be c(0). Let r be d(z). Let v(f) = 2*f**2 - 27*f - 3. Let w be v(r). Which is greater: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 279 - 280 - 35\/(-28)*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/24)\/(-4)*-12)\/(154\/7)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 15, 2\/9, 37 in decreasing order.\nAnswer: 37, 15, 2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20268 - -6?\nAnswer: 20272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 5:07 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-120))\/(2\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 - 12*l + l**4 + 1\/5*l**5 + 4\/3*l**3 + 0*l**2. Factor z(v).\nAnswer: 4*v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 54. Solve -13 = l + 4*s, -5*l - 2*s = d*s + 33 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*40\/25 + (-657)\/(-45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414851498.\nAnswer: 2, 709, 292561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59023074 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11122220 (base 3) in base 10?\nAnswer: -3399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3395)\/(-155) - (-93)\/961.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**2 - 502 + 247 - 6*y + 255 in the form c + z*y**2 + s*y and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -5\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -452 bigger than -452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7) - (-3859)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from {m: 1, b: 5, i: 1, n: 5, d: 1, e: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + (sqrt(190) - (-2*sqrt(190)*-1 + sqrt(190))) - sqrt(190)) + sqrt(190))\/(sqrt(1000)*3).\nAnswer: -sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9972 and 44?\nAnswer: 109692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61338341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-77)\/(-330)*-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 10, -c - 4*h + 49 = 2. Suppose -745 = -2*g + 5*o, -g - 5*o = -49 - 286. What is the units digit of g\/c + (-4)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 3*a - 3*a + (0 + 0 + 3)*(-2*a**2 + a**2 - a**2) + 15*a**2 + 4*a**2 - 6*a**2 in the form c + k*a**2 + h*a and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 745368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3588)\/2990 + (-552)\/(-10). Let x = 5 - -1. Suppose -x*y + 8*y - s = 0. Calculate the highest common factor of 189 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267837?\nAnswer: 1267837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 144\/168*((-1)\/(-4))\/(9\/(-24))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31263801 is divided by 31263790?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2. Let u(y) = 2*y**2 + 3*y. Let c(h) = -22*h**2 - 34*h. Let o(v) = -6*c(v) - 68*u(v). What is o(f(n))?\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 436*r**2 + 944*r + 144 = 0.\nAnswer: -2, -18\/109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -c36d13 (base 14) in base 5?\nAnswer: -3141310130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 2*u**2 + 6*u + 1808. What is the hundreds digit of z(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -6*c + 35. Let h(i) be the third derivative of 4\/27*i**3 + 0 + 1\/27*i**c - 2*i**2 + 1\/270*i**5 + 0*i. Factor h(b).\nAnswer: 2*(b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + -0.1. Let o = d + -1. Let v be 16\/(-90) - (-2)\/5. Sort o, -1\/6, v in ascending order.\nAnswer: o, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -81. Let w be 1 - l - -3 - -3. Suppose 4*n - w = 2*n. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -65655, -65654, -65653, -65652, -65651, -65650?\n\"Answer: a - 65656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 131, 99, 33, -79, -249, -489, -811?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 3*c - 3. Let n be f(-3). Sort -2, -34, -1, n in descending order.\nAnswer: -1, -2, n, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1760484 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4036 (b) -0.2 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*o = -17, 2*l + 0*o + 4*o - 90 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116200 is divided by 848.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 17*y**2 + 2*y - 4. Is 17 a factor of t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - j - 40. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*x**2 - 107 - 7*x**4 - 2*x**2 + 107 wrt x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 38 + (-7 - -1) + (-73 - -77)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/2 + 4)\/3. What is the tens digit of 17 + 65 - (-2 - f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**2*m*q + 26*l*m*q - 6173*l*q**3 - 2*m*q**3 + 4724911*m wrt l.\nAnswer: 4*l*m*q + 26*m*q - 6173*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12366 and 3206?\nAnswer: 86562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:48 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7802469 litres to millilitres.\nAnswer: 780.2469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r + 44. Let k(a) = -1. Let q(y) = -j(y) + 5*k(y). Let c be q(-11). Suppose 146 + 730 = c*t. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 4439*t**2 + 8885*t - 13323.\nAnswer: -(t - 4441)*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 7*b - 8. Let a(i) = -7*i**3 - i**2 - 2*i - 2. Let w be a(-1). Give f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -240?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3838384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 27*i**2 - 8*i + 11. Suppose -5*n = -5*v, -4*n + 19 - 3 = 0. Is t(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100101101011111 - 11?\nAnswer: -10000100101101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -5 - 20 - -4. Suppose -8*s + 4*z + 18 = -3*s, -s = 2*z + 2. Put g, -10, s, -3 in decreasing order.\nAnswer: s, -3, -10, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63205 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -193\/4, -0.1, -5, 3\/4, -9037?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(1*2\/(-2)). Let j(y) = -y**2 + 18*y + 158. Let m be j(23). Differentiate -3*a - m + 17 - q*a wrt a.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**5\/3 + 10*i**3\/3 - 5*i\/3.\nAnswer: -5*i*(i - 1)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0401 + 42.5599. What is d rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -97*d**3\/6 + 26*d**2 + 31*d. Let z be a(-8). Suppose -12*r + 0*r = -z. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46251 is divided by 392?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuu when three letters picked without replacement from {v: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -750146, -748842, -747538, -746234, -744930?\nAnswer: -743626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 427988 divided by -137\nAnswer: -3124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1085134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5434*g + 2670*g - 1 + 3152*g.\nAnswer: 388*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 93. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66735407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 20 = -2*p - 0*t, 4*p + 4*t = -20. Let u = 93 + -7903\/85. Is p != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -698, -5, 1.\nAnswer: -698, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/2)\/(3 + -1). Suppose 5*u - 987 = 2*r, -391 = -2*u - g*u - 3*r. List the prime factors of u.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.387 to two decimal places.\nAnswer: -1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3 + 6464*q**2 + 838517*q + 26322450 = 0.\nAnswer: -66, -175\/3, 2279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*x**3 + 154*x**3 + 180*x**3.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 10*c - 1. Let g(t) = t**2 + 22*t + 32. Let o be g(-21). Let b(j) = 2*j**2 - 22*j - 7. Let z be b(o). Calculate w(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 12:17 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 137*o + 263. Let x be w(16). Suppose x = 6*i - 305. What are the prime factors of i?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448920 divided by 45.\nAnswer: 9976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 454 and 6.\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-42) + 341\/77)*1*9828.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -247 - -252. Suppose 7 - 34 = -3*n + 4*c, -r*c = -2*n + 25. Solve -3*b - z = z + 20, n*b + 2*z = -28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/(12 - -10) + 22 + 160\/12.\nAnswer: 82\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238481889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**4 + 348250*g*l**3 + 183540*l**3 wrt g.\nAnswer: -28*g**3 + 348250*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 - 237 - 8*h - 1119 - 232 + 1824.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a**3 + a + 1. Let k = -1 + 0. Let r be y(k). Let h = -8 + r. Solve h*m + 15 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, p: 4, a: 1, q: 1, j: 4}. Give prob of sequence oj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4 - 4*k**4 - 71*k**3 - 136*k**2 - 14*k**3 - 179*k**2 + 405*k = 0.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22741?\nAnswer: 22741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2303*g - 169218 = 576*g + 81*g - 1040*g for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 7*p + 72. Let g be y(5). Suppose 3*t - 5*k = 785, -363 = -2*t + 5*k + g. What is the highest common factor of t and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1 = -7. Suppose 9 - 1 = -q*z. Let h(s) = -s**2 - 2*s + 5. Give h(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 2*p - 2*p + (4 - 5 + 3)*(-4*p + 3*p + 3*p) + 3*p - 2*p - 3*p)*(-286*p + 149*p + 442*p + 803*p) in the form z*p**2 + q*p + m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 89897, 179639, 269071, 358037, 446381, 533947?\n\"Answer: -26*i**3 + i**2 + 89921*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -0.086, 5?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**3*s + 385169*o**3 - 94006*o**2*s + 3*s wrt s?\nAnswer: 2*o**3 - 94006*o**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3.6. Let x = 376 - 29. Let a = x + -352. What is the nearest to -0.3 in b, -7, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 15 - 3. Suppose 13*b - 2 - 37 = 0. Solve -4*f = -x*z + 24, 2*z - b*f = -5*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 + 39894224*i\/3 + 198943638570272\/3.\nAnswer: 2*(i + 9973556)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-11 - (0 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/24 and 28\/87.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*r = -2*a - 122, -90 = -3*a + 2*r. Suppose -14*i - 8 = 20. Is i + a + 3\/1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1235 + -1234.8. Suppose -37 = -3*s + b, -s - 3*b + 23 = 2*b. Let g be ((1 - s) + -2)\/1. What is the third biggest value in 5, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 64 = -5*r + 3*v, 5*v - 58 = 4*r. Let a be r\/24 + (-11)\/2. What is the tens digit of a\/(-18)*(-4 - -637)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235296 greater than 3235295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 104*g - 4. Let v(t) = 99*t - 3. Determine 4*d(b) - 5*v(b).\nAnswer: -79*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 1. Calculate the remainder when 34 is divided by d(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*a + 40*a - 4. Let q(p) = p**3 - 4*p**2 + 2*p + 1. Let h be q(2). What is the second biggest value in -2\/3, h, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -89736*d + 89738*d - 2*p, 2*d + 48 = -4*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56488*q**2 + 50472 wrt q.\nAnswer: -112976*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58636 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 + 64*k**2 + 72*k - 144. Calculate the smallest common multiple of n(33) and 1 + 1 + 12 + -4.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 9*c - 127. What is the hundreds digit of 2 + 33\/(c\/(-6) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335.7 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 4*k + 3*k)*(28*k**3 - 2 + 5 - 4).\nAnswer: 56*k**4 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -17*g**3 - 11*g - 7. Let l(s) = 8*s**3 + 5*s + 3. Let w(h) = 3*f(h) + 7*l(h). Find the second derivative of w(r) wrt r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/350 + 74\/(-245))\/(6\/(-21)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.371551 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/18*(-2)\/6*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14063.35373 and 4.\nAnswer: 56253.41492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*y = -6*y - 285, 0 = -3*y + 15. Calculate the remainder when 1917 is divided by q.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 2*f + 1. Let n(q) = q. Let s be 2*(0 - 4\/8). Let u be (4 - 6) + 2 + 0. Let r = 3 + u. Calculate r*n(x) + s*m(x).\nAnswer: 2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 1334.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 338 (base 15) to base 13\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40*13.2645\nAnswer: 530.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18048, -3\/7.\nAnswer: -3, -3\/7, 18048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.84 + -0.16. Which is smaller: s or 337?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 94, -159497, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 875 (b) 1 (c) -0.45 (d) -1 (e) -3\/5 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099*i**3 + 540*i**3 + 561*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2022002112 + 5?\nAnswer: 2022002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-48)*6\/(-15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 12*o**2 - 14*o - 14. What is the tens digit of v(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 74. Solve t*d = -0*d - 5*s + 9, 0 = 4*d - 4*s + 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -291*g**2 - 72*g + 12. Let q(z) = 872*z**2 + 217*z - 34. Let t(c) = -6*q(c) - 17*y(c). What is the second derivative of t(a) wrt a?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83)\/(-20) - ((-6216)\/(-370))\/(-28)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a\/(a*a**(-2))))\/a*a)\/a*a**(3\/2)*a**(-2\/5)\/a*a**(-5))\/((((a\/(a**(-1\/2)*a))\/a)\/a)\/a**(-4))**(9\/4) assuming a is positive.\nAnswer: a**(-461\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-49) + 4\/14. Find the third derivative of -2*t**2 + 5*t**3 - 5*t**3 - 4*t**3 + v*t**3 wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123 + 228 + 327)*(2*j**2 + 4 - 4).\nAnswer: 1356*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {t: 5, f: 3, e: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9288.5 + 9288. What is the fifth biggest value in 10, 6\/11, -0.1, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 1 = 4*i - 5*i, -r = 3*i + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -262 - -268. Let u(b) = -2*b - 3. Let g be u(-3). Suppose -5*a - 1 + 11 = 0. Solve -d - l = g*d + 24, -a*d + o = -4*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5817539, -23270154, -52357849, -93080624, -145438479, -209431414?\nAnswer: -285059429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**5\/20 + r**4\/12 + r**3\/3 - 5*r**2. Let w = -5 - -8. Is d(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 36\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/((-6)\/3) + (-38 - -12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -618811 <= -618794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + j - 41739, -166956 = -4*t - 9*j + 7*j. Let z = t + -27976. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3)\/j)\/j*j)\/j)**(2\/19)*(j**(-13)\/j*j)\/j**(16\/5) assuming j is positive.\nAnswer: j**(-1589\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - -21. Let b(d) = -141*d - 1. Suppose 5*q + 13 = 3*x - x, 3*q = x - 8. Let z be b(x). What is the greatest common divisor of z and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1731479349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393224125?\nAnswer: 5, 71, 179, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 692, 1.14, -0.1 in decreasing order.\nAnswer: 692, 3, 1.14, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 5*n = 13*t + 26, -4*n - 16 = 0. Let y(d) be the second derivative of -1\/42*d**4 - 16\/7*d**2 + 0 - 3*d - 8\/21*d**t. Find s such that y(s) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kytm when four letters picked without replacement from mkmydtd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19789045\/76275408 + 4\/144461. What is the common denominator of 47\/18 and j?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(2\/21)*x*x*x*x)**(-1\/2))**4)**44 assuming x is positive.\nAnswer: x**(-9416\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*n - 1286 = 1752, n = -m + 609. Does 38 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 + 9 + -1 + 65. Calculate the greatest common factor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 2\/13, -0.4, 15, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 = h + 2, 5 = 4*h + 5*t. Let l be (6\/(-10))\/((-6)\/20). Solve h = -l*p - x - 3, 0 = -4*p - x + 2*x - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-28)\/70 + (-82446)\/(-15) + 3.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 8 (b) -0.4 (c) -3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167\/5 - -1817\/55. What is the smallest value in -0.5, -0.3, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 31*l**2 + 2. Let y be m(-2). Suppose -3*n - 12 = -y. Calculate the highest common divisor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*5)\/((-305)\/(-183)*99\/(-55))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1042)\/860 - (-2)\/1. Let p = t + 1\/86. Let k be ((-2)\/(-8) + 0)*-4 - -5. Which is the closest to 0? (a) p (b) k (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 17*r + 5. What is the tens digit of k(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*z + 767, z + 2*o - o - 194 = 0. Let s = z - 135. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10*o - 64. Let m be l(-7). What is the hundreds digit of -3 - (12\/m - 240)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45459, -181872, -409225, -727512, -1136727?\n\"Answer: w**3 - 45476*w**2 + 8*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*u + r, 2*u = -0*r + 2*r + 64. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/4 and 53\/5540.\nAnswer: 5540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 3 - 3 - 1)*(-28*v**4 - 56*v**4 - 124*v**4) to s*v**3 + c*v**2 + l*v + i + w*v**4 and give w.\nAnswer: 6240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 120 = -140. Suppose -3*g - k = -5*g. Suppose g - 12 = 2*j. Put -1, 5, -3, j in descending order.\nAnswer: j, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 - 7*v + 9. Calculate the lowest common multiple of g(6) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -807153 (c) 0.4 (d) 0.1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 16. Suppose 2*h = -l + 34. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, 9, 91, 267, 573, 1045, 1719, 2631?\n\"Answer: 6*w**3 - 7*w**2 + 3*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/2 and -1614685 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82846\/7767 + -2\/7767. What is the third biggest value in -3, 1, -8, w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(13) + sqrt(13)*-2 - sqrt(13)))**2 + sqrt(65)\/(sqrt(5) + sqrt(10)\/sqrt(2)) + (sqrt(637) - (-2 + sqrt(637) + 5))**2.\nAnswer: sqrt(13)\/2 + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 320 + 3*j - 323 + j as m*j + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 991472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*r - 571025 = -566852 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (1 + -4 + (-22 - 2 - -15)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 10. Let k be t(-10). Let y(i) = 2*i - 10. Let d be y(9). Let n(q) = -d*q**2 + k*q + q + 0*q. What is n(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 2 - 2)*(0 - y + 0) - 2*y**2 - y**2 - y**2 + (-y + 3 - 3)*(2*y + y + 0*y) to the form m + u*y + g*y**2 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, f: 2, s: 1}. What is prob of sequence ffs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13670 - (-12 + 117)\/(-7) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2903 - -4037. What is the smallest common multiple of 63 and b?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 0. Suppose u + o = 5*u. Let s(b) = 19*b + 215. What is the remainder when u is divided by s(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, and 1 f when three letters picked without replacement from {s: 2, v: 2, t: 7, r: 6, f: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/3, -0.4, 109, 0, -10\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -290 - -310. Solve 44 - l = -12*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*i - 4*g, -9*i + 10*i - 11 = 4*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + 101101010001?\nAnswer: 101101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-200)\/(-16))\/((-1)\/(-2))*-1. Let r(s) = -s**2 - 41*s - 97. What are the prime factors of r(c)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 101218?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 1\/160, 3, 2, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**4 - 3*s**3 - 3*s. Let w(j) = 4*j**4 - 4*j**3 - 3*j. Let y(p) = -4*f(p) + 3*w(p). What is the second derivative of y(h) wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -8. What is the remainder when 54 is divided by (-11 + 7)\/((-2)\/d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 542 = 3*a, 21*b - 3*a = 16*b - 2782. Round b to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o = 6. Suppose -13*z = -5*z + 160. Let c be (z\/(-6))\/((-4)\/(-6)). What is the second biggest value in c, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.1, -0.3, -5.57, 39\/4, 4, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1096 - -1050. What is the nearest to x in -2, -2\/13, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - 75\/(-6). Let x be 66\/(-9) - (-4)\/r. What is the units digit of (-2)\/(x\/2 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (9 - (27 + (-11 - -12))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1)\/((-369)\/(-3280)*(-5)\/3)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 70 = -2*h. Suppose -3*b + 1 + 56 = 0. Calculate the remainder when b is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16460186, 32920369, 49380552?\n\"Answer: 16460183*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 3*x + 4. Let d be i(4). Suppose 4*b - 164 + 40 = d. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-92)\/(-8)*78 + 105\/35. Calculate the greatest common divisor of 850 and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 170*u + 665. Is p(-74) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2836 + -0.3.\nAnswer: 3.9836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppzppzpzzp. Give prob of picking 2 p and 1 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -287*k + 116. Let p be r(4). What is the remainder when 7902\/22 + -8 + p\/(-132) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104010 - 134?\nAnswer: -104144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40241 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-6))\/(33\/(-5049))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12632.6 - -12633. Which is the fifth smallest value? (a) 4 (b) 0.06 (c) -1 (d) q (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from fclllklllllkafllf.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29144136 divided by 1128?\nAnswer: -25837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 a factor of 307502365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*p - 16*p - 53*p)*(0 + 4 - 1).\nAnswer: -372*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-7))\/((-21)\/(-735)). Suppose 0 = -14*l + 8*l + w. Suppose l*y - 5*t = 0, 8 = -3*y + 9*t - 4*t. Solve y*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -5 - -26) + -6 + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -766616?\nAnswer: -766618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x. Let b(l) = -43*l - 1. Determine b(p(z)).\nAnswer: -559*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 1437.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/151831 and -4\/1043?\nAnswer: 1062817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x, -131*i + 129*i - 5*x = 5540. What is i rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1 (c) -144.534 (d) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, c: 1, h: 2}. What is prob of picking 1 c and 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13566\/(-2926))\/(18\/(-66)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 17*u**2 - 3*u - 2. Let b be h(-2). Is (-16214)\/(-18) + 16\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5558 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 877548792*i**2*p**2*x - 282*i**2*p*x - 180*i**2 + 98*i*x - p wrt p?\nAnswer: 1755097584*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53879830 is divided by 17959929?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 15753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -2 + 8 + -1. Suppose 5*d = -2*p + 42278, -k*p + 33827 = 4*d - 5*p. Suppose d = 3*i - 20044. Round i to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1827894 divided by -2.\nAnswer: 913947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9885920*v - v**2 - 9885920*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/8, 15, -0.07?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507054 (base 9) to base 15.\nAnswer: 5e017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2338*j**3 - 35*j**2 - 24*j + 35. Is v(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27392, -54790, -82190, -109592, -136996, -164402, -191810?\nAnswer: -219220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - 2*w + 32*w)*(-2*w**3 + 2*w**3 + 3*w**3) + 2128*w**2 - 2128*w**2 - 4*w**4 - 1 - 3*w**3 to g*w + k*w**4 + i + a*w**3 + v*w**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*t - 5*d, 4*t - 20*d = -7*d - 14*d - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/11 (c) -261 (d) 0.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 11:18 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 40 = -5*f. Let l be f\/46 + (-21140)\/230. Which is smaller: l or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -15*o**3 - 80*o**2 - 137*o + 5. What is x(-3)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -2\/7, 0.2, 1, -26?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 27*j**2 + 6. Calculate the remainder when v(-3) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 949565 to the power of 1\/2, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/8 >= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 11*v - 8. Let u be l(12). Let q = 227 - 207. What is the smallest common multiple of (4 - (-35)\/(-20))*u and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*216\/(-90)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, 11, 21, 35?\n\"Answer: 2*f**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -813 + 807. Let a be (((-190)\/(-6))\/19)\/((-2)\/g). Solve 4\/5*n**4 + 0 - 8\/5*n**3 - 2\/5*n + 4\/3*n**2 - 2\/15*n**a = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.68 (b) -1\/5 (c) 0 (d) -18 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10531 + 10931. What is the remainder when s is divided by 78?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12657 rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*j = -r + 158*j - 5, 9*j + 10 = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from mppqb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7489655 millimeters?\nAnswer: 748.9655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (20 + -10) - (-125 - -59).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.6 + 22.6. Let z = 2758\/13 - 212. What is the nearest to z in 0.1, g, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**2 + 36*g**2 - 15*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.13657 decades in centuries?\nAnswer: 3.813657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-18)*66\/(-15). Let d = t - 14\/5. Put 0, d, -3 in descending order.\nAnswer: 0, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = -c. Let z be (230\/30)\/(c\/(-6)). Suppose 5*r = -2*j + 82, 3*r - 3*j + j - z = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 22*y - 10*y)*(y - 2*y + 2*y) + 2*y**2 - 2*y**2 - y**2 as g + m*y + f*y**2 and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46, 103, 162, 223, 286, 351, 418?\n\"Answer: a**2 + 54*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13 = -d, 10 = 7*z - 3*z - 2*d. Solve -5*k + 28 = -2*b, -7*k + 20 = -z*k - b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:45 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-7))\/(5\/(-35)). Solve -2*n + p = -3*k, k = -2*n - 3*k + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408356433.\nAnswer: 11, 128032403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 5*z - 9. Let w = -71 + 130. What is the remainder when w is divided by m(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -598.971 and 198.\nAnswer: -400.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h + 8 - 30. Suppose -16*z**2 - 27*z**2 - 19*z**h + 53*z**2 - 12*z = 0. What is z?\nAnswer: -4\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -l - 90 + 199 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -19. Suppose 142 - 23 = 2*p + 5*o, -3*o - 9 = 0. Find the first derivative of -p*r**3 - 2*r**4 + 67*r**l + r**4 - 7 wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let w(u) = -8279796*u**2. Calculate g(w(k)).\nAnswer: -8279796*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 1936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.31 times -0.4?\nAnswer: -2.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*p**3 + 113*p**3 - 49*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 327*j - 2172. Calculate y(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + -4 + -4 + (sqrt(6)\/sqrt(3))**2.\nAnswer: -6 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1012475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121 + 4551*q - 4551*q - 103*q**2 + 905*q**2 wrt q?\nAnswer: 1604*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t**2 + 11*t + 5. Suppose -148 = -4*x - 48. Let l(v) = -12 - 45*v - 9 + 21*v**2 - 13*v**2 + x*v**2. Let u(k) = 21*h(k) + 5*l(k). Factor u(q).\nAnswer: -3*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/120 - o**4\/12 - 2*o**3\/3 + 35*o. Let r(m) be the second derivative of z(m). What is r(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168219483 and 387.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 603, 914, 1211, 1488, 1739?\nAnswer: 1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -28 + (20 - 10) - (0 + 6 + -96)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-67 + 98)) + (-126 - -3).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1212 or 0.13?\nAnswer: -1212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011 (base 2) in base 9?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -722375, -722379, -722383, -722387, -722391?\n\"Answer: -4*t - 722371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14*2\/4*-1. Let r(z) = -z**3 + 8*z**2 - 7*z. Let a(t) = -1. Let l(i) = -2*a(i) - r(i). Let x be l(n). Solve 4 = -x*y + 2*w, -w + 6 = -y + 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven thirds of a decade in months?\nAnswer: 2680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*h - 90*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -165, -337, -561, -837, -1165, -1545?\n\"Answer: -26*c**2 - 94*c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - h**2 - h + 1. Let c(n) = -4*n**3 + n**2 + 3*n - 1. Suppose -11*v + 61 = 72. What is v*a(l) - c(l)?\nAnswer: 3*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = k - 176. Let p be (-2 - 9\/(-6)) + k\/8. Suppose -4*g = -5*g + p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/162 - 5280\/24948.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.06 - -0.06. Which is the nearest to f? (a) -5 (b) 0.2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/5 - 44*j**3\/5 - 144*j**2\/5 - 148*j\/5 - 10.\nAnswer: 2*(j - 25)*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*1*5 - (sqrt(176)*-3)**2 - sqrt(22)\/(sqrt(2) + 6*sqrt(32)).\nAnswer: -1584 + 124*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 114*t - 5 + 29 - 10.\nAnswer: 114*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 435 and 2081040?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. What is the closest to -0.1 in w, -0.3, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsssssssssssssssssss. Give prob of sequence sqs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*o**3 - 96*o**3 - 4*o**2 + 4*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 569 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6064680 to the nearest integer?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/4*36\/114?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17321 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -1256.\nAnswer: 25\/1256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (331 - 169*r - 331)*(-3 + 1 + 3) + 0*r - 4*r + 3*r.\nAnswer: -170*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(1272\/49 - (-744)\/18228).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/120 and 113\/131766456.\nAnswer: 658832280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32063402 and 70?\nAnswer: 160317010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 8*n**2 - 87*n + 243. Let x be a(3). Let o(v) = -v**2 - 3*v + 4. Let r be o(-3). Solve x = -r*f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 173.1 + -173. Let y = 416 + -416.1. Sort a, y, -3, -4 in decreasing order.\nAnswer: a, y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -1 + -3 + sqrt(1088) - sqrt(1088))**2 + -2.\nAnswer: -64*sqrt(17) + 1102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202624604*f**2 - 148737218 with respect to f.\nAnswer: 405249208*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 - 142?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -4*i**5\/5 - 7*i**4 - 8*i**3 + 278. Solve r(g) = 0 for g.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-12) - 4334\/(-8)) + -3. Find the third derivative of n*d**2 + 7 - 13 - 540*d**2 - 140*d**3 wrt d.\nAnswer: -840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeeeaeeaaeeeee.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.134 + 1.434. Which is smaller: 0.06 or j?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 + r + 4. Suppose -18 - 2 = -4*h. Let d be m(h). Suppose d = 4*z - 0*z. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1375 by -64.\nAnswer: -1375\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 8:38 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238431.7 or 0.2?\nAnswer: -238431.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 315\/4? (a) 2 (b) 5\/6 (c) -25 (d) -426\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 + 3. Suppose -3*g + 24 = 3. Let h be j(g). Suppose 0*w - h*w = 0. Which is greater: 0.2 or w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:38 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65507 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 3, 0.4, -0.061, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -6, 3, 129 in increasing order.\nAnswer: -6, 3, 4, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12425336 (base 8) in base 10?\nAnswer: -2763486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252997?\nAnswer: 431, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -7*q**2\/2 + 40*q - 34. Let w be d(4). Solve 5*u = u - w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -84055.\nAnswer: 25216.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-516)\/(-1806)*(2\/(-4))\/((-2)\/7)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -127) + (-1 - 10). Solve -a = 9*j - 171 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*y + 349 - 59, -2*b + 3*y = -195. What is the highest common divisor of b and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/9))**(-1\/17))**(-28)*(i\/(i**5*i)*i**8)\/(i**(-2\/3)*(i*i*i**(2\/3)*i*i)\/i) assuming i is positive.\nAnswer: i**(-56\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134287679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 15*b**3 + 3125*b**2 + 114740*b + 348300 = 0?\nAnswer: -162, -43, -10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4 + (-15 - 18930\/(-1080))?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j + 8. Let y be b(-8). Let m(z) = 2*z**2 - 5*z - 16. Let o be m(8). Let q = o + y. Calculate the greatest common factor of 200 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 3*o + 5*o. Let k be m(1). Suppose -k = 5*d, -4*v - 3*d + 8*d + 21 = 0. Solve -5*f + 4*p - 20 = -0*p, f + v*p = 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - ((-8 - -5) + 11 - 3). Solve -k*a + 92 - 92 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 2 (c) -0.02 (d) -19\/9 (e) 37.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azqgozagyaoayy. Give prob of picking 2 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1\/11 (c) -2 (d) 0.01 (e) 0.15 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5563 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 14}. What is prob of picking 2 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -137, -304, -451, -578, -685, -772?\n\"Answer: 10*l**2 - 197*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -190*b**3 - 1. Let j be n(-1). Let g = j - 98. What are the prime factors of g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9635*g - 14 + 9636*g - 197*g**2 + 741*g**2 to the form z + d*g**2 + o*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 2*x**2 - x + 3. Let z be c(-3). Let s(d) = -d**2 + 12*d - 4. What is the remainder when s(8) is divided by -2 - 6*6\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -348987*s**4 - 6*s**3 + 5*s**2 + 69086376?\nAnswer: -1395948*s**3 - 18*s**2 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -44703*r**4\/7 - 134147*r**3\/7 + 581025*r**2\/7 + 671039*r\/7 + 570\/7 = 0.\nAnswer: -5, -1, -38\/44703, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, 5.8, 5, -1\/30, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 + 2*i - 2. Let m be c(2). Suppose o - 15 = 5*p + 12, -4*o - 3*p = 7. Calculate the common denominator of (o\/m)\/((-6)\/(-66)) and 131\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354\/4*(-4)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -48199\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 311, -0.058, 4\/9, 1?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-104)\/(-28) + -4)*-7. Suppose 0 = c + x, -5*f + 0*c + 2*c = -609. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50848, 101637, 152368, 203041, 253656, 304213, 354712?\n\"Answer: -29*j**2 + 50876*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 9 - -11) + (0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*p**2 + 2*p**3 - 222 + 2*p**3 - p**3 + 224 in the form a + i*p**2 + j*p + f*p**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -30*d**2 + 2*d + 300. Let g(b) = 12*b**2 - b - 149. Give -7*g(c) - 3*h(c).\nAnswer: 6*c**2 + c + 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-117)*64 + 50 + -36?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**1*j))**(4\/11)*(j**(-1\/4)\/j)**23)**42 assuming j is positive.\nAnswer: j**(-2415\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83593381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/18)\/(4265\/51180)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39575753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4185 and 8996355.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3, -2\/3, -2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 130, 264, 396, 526, 654, 780?\n\"Answer: -w**2 + 137*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11502167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3905\/3 - -1316. Let j = -3193 - -19073\/6. Let c = n + j. What is the third smallest value in -0.2, c, 2\/17, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-5))\/(2\/(-10)). Let g(l) = -l - 8. Let w be g(-8). Solve w = -4*b + d - 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1452 - -24752?\nAnswer: 26204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49083439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/(-77)*(-63)\/(-54))\/(3\/(-9)). Solve 3*w + 5 = -2*l, 4*w + v*l + 0*l + 10 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 7. Suppose 4*n - 44 = -2*i - 2*i, -3*i + 4*n - 2 = 0. What are the prime factors of q(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-424)\/4028*7\/(42\/(-9)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.5375 (b) -5 (c) 2\/9 (d) 25.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 8*h - 5. Let o be q(10). Suppose 8*v - o*v + 574 = 0. Suppose -23*j + v = -21*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 12\/605 (b) 0.4 (c) 5 (d) -22 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 7:12 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31709509?\nAnswer: 13, 1171, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1802879 millimeters in centimeters?\nAnswer: 0.01802879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -142, -145, -152, -163?\n\"Answer: -2*h**2 + 3*h - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 4*t - 716, -5*r + 1781 = -t. Let i = -111 + r. Suppose -5*h + 0*h + i = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 7. What is the derivative of -6*w**4 + s + 34 - 9 wrt w?\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l**3 - 2*l**3 + 3 - l - 5*l**2 + 0*l. Suppose -t = -0*t - 3*y - 2, -18 = 5*t - y. Is f(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-49 + 34)*14\/(-3). Calculate the greatest common factor of 560 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1131431 - 12?\nAnswer: -1131443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*((-1 + 4 - 2)*(2*m + 3*m - 3*m) + 3*m - 3*m - m + 5*m - 5*m - 14*m).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10*h**3 - 34*h**2 + 5*h - 2. Let t(s) = -s**3 + 7*s**2 - s + 1. Give b(z) + 3*t(z).\nAnswer: -13*z**3 - 13*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 - (16312\/(-18) - (-1266)\/(-211)). What is the greatest common factor of i and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - a**2 - a - 1. Let s(h) = -2*h**3 - 5*h**2 - 3*h - 93. Calculate -3*g(i) + s(i).\nAnswer: i**3 - 2*i**2 - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1341078 or -1341091?\nAnswer: -1341078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000079256 to seven dps.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2\/485, 845, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*q + 2*q + 2, -5*q = 3*s - 645 + 672 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let m(v) = 16*v. Let k(c) = -m(c) + 10*q(c). Let l(i) = -6*i**2. Calculate k(l(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4 + 2, 0 = 5*f + x - 27. Suppose -3*q + 5*w = 23, -11 = -f*q - 3*w - w. Is 2\/11 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (19 + -19 + 1 + 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111000010011001100 (base 2) to base 8.\nAnswer: 702314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d + 22. Let a be l(-4). Solve -a*g = r + 6, 0 = g + 1 + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**3\/(v\/(v**(2\/21)\/v)*v**(-2\/13)\/v) assuming v is positive.\nAnswer: v**(614\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7*d + 10. What is the remainder when 10 is divided by n(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 4*a + 50, 0 = 4*z - 3*a - 25. Let y = 60 - z. Suppose -5*d = 5 - y. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 10:12 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 3. Let f be m(0). What is the remainder when (f + 0)*80\/6 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 4. Let g(c) = 1. Let b(k) = -4*g(k) + z(k). Let r(w) = -16*w**2 + w - 2*w**2 + 12*w**2 - w. Determine r(b(i)).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 - 11\/(-20). Let r = 5 - 4.5. What is the nearest to 0.1 in r, y, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8003*-6\nAnswer: 48018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 730614.56 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 9:51 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 777?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 3*d + 2. Let a(s) = s + 1. Let o be (0\/5)\/(-2) + 4. Let t(f) = o*a(f) - g(f). Find r such that t(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 16*p + 460. Is p at least as big as -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5\/5 - 28*u**4\/5 - 8*u**3\/5 + 232*u**2\/5 + 396*u\/5 + 36 = 0. Calculate u.\nAnswer: -5, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8858.544 millilitres in litres?\nAnswer: 8.858544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38111056 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 + 1.645. Round i to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*u + 1656 = 1251 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*x - 83*x - 79*x + 241*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f - 3. Let x(b) = 105*b**3 - 8*b - 27. Determine 18*s(p) - 2*x(p).\nAnswer: -192*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11*i - 1 + 9*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -52, -85, -128, -187, -268, -377?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 = 10. What are the prime factors of 5 + i\/3 + 108?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7793726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1707891.978202252 + -1707892. Let i = d - -0.0218. What is i rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = -51*g + 8*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-1572) + (-3864970)\/1452135?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84901.\nAnswer: 59, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 + 12*f**2 + 3*f - 5. Let u(b) = -21*b**3 + 67*b**2 + 14*b - 25. Let m(a) = -11*g(a) + 2*u(a). Determine m(3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 438308.421926 + -438309. Let k = u - -180.566774. Let p = k + -180. What is p rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 54, 117, 218, 357, 534?\n\"Answer: 19*h**2 + 6*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428 = 9*u - 1840. Let p = -254 + u. Let l(i) = 2*i - 2. Give l(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-18))\/((2600\/675)\/(-52)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 45818.37cm?\nAnswer: 0.4581837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 399 + 369 = 0. What is the smallest common multiple of 36 and m?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0 - 1\/90*t**5 + 0*t + 6*t**2 + 0*t**3 - 1\/18*t**4. Factor r(h).\nAnswer: -2*h*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*t + 13419 = 236*t - 529*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86419 or -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -39. Suppose -w + 6*w = a. What is the greatest common divisor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45111 divided by -4.\nAnswer: -45111\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -53, -34, -7, 28?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -12. Suppose 3*u - 19 = l. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 5*d**5 - 20*d**3 + 200*d + 10*d**2 - 20*d**4 - 175*d + 5.\nAnswer: -5*(d - 1)*(d + 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225 a factor of 2686863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83051911?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 96*f**2 - 219*f - 49. Let x be m(-94). What is the highest common factor of 120 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 29 = 49. Let d = -3 + i. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*a + 40, -4*b = 2*a - 0*b. Let t be (2\/1)\/a*-5 - -69. What is the highest common factor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107.146 + -0.054. What is b rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.09 and 17560987.\nAnswer: 17560984.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 6*g**2 + 4. Let x(b) = 2*b**3 + 7*b**2 + b - 5. Let w(v) = 5*d(v) + 4*x(v). Factor w(t).\nAnswer: -2*t*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 312634481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -252825574 take away 4.3?\nAnswer: -252825578.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cc + 11a9?\nAnswer: 12a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7131647 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-6))\/v*v)\/v**(-5\/4)*(((v*v*v*v**(-9))\/v)\/v*v)\/v*(v**(1\/16)*v)\/v)**(-23))**(-10\/11) assuming v is positive.\nAnswer: v**(-1955\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/78 and -51\/22.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32814, 32740, 32570, 32256, 31750, 31004, 29970, 28600?\nAnswer: 26846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -128*k - 30. Let g be v(-8). Suppose -g = -22*u + 2570. Calculate the remainder when u is divided by 49.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/6 + 91445*p\/6 - 18835096 = 0.\nAnswer: 1253, 90192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from gakglrggklreglkgg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-94)\/18)\/((-63)\/28) + -2. Let m = -1\/81 - u. Is 0.385 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88067\/87 - 3037\/3. What is the nearest to -2\/9 in v, 2\/11, 0.03, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111110111 (base 2) to base 3\nAnswer: 1101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3591*y + 29830 = -16853 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 6*s**2 - s + 0*s**2 as g*s**2 + u*s + q and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1571017384?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24804928 - 3669928. Suppose 4227000 = -f - i, 9*f - 14*f - i = b. What is f rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -51134 + -6257?\nAnswer: -57391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34 + 126 + 6 + 2*h**2 + 68*h - 4 + 104 wrt h?\nAnswer: 4*h + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/16 - 3*n**3\/4 - 726. Factor c(p).\nAnswer: -p**2*(p + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 14482*c**3 - 13865*c**3 - 1 - 2*c**4 + 2*c in the form y*c + a + b*c**4 + i*c**2 + u*c**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*c, v = c + 5*v. Suppose -5*b - 7*b + 13164 = c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6283 - 6281. What is the closest to j in 0.2, -1\/43, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 854 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6709 times 1129?\nAnswer: 7574461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(475) + 1)*3)**2 + 5 + -2*sqrt(475)).\nAnswer: 80*sqrt(19) + 4289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 394611, 789217, 1183821, 1578423, 1973023?\n\"Answer: -b**2 + 394609*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 857, 1208, 1705, 2420, 3425, 4792, 6593, 8900?\nAnswer: 11785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(0 - 6\/(-20)). Suppose -h = -0*c - c. Let w = c - 13. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -293, -446, -603, -764?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-183)\/27 + 2\/(-9). Let r = x + 6. Is r < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.035 in 0.5, -1, -2\/3, -0.12, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33168 is divided by 456?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.155794 rounded to four dps?\nAnswer: -0.1558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729414.\nAnswer: 2, 3, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/26 + 4043\/(-2). Is (1\/3)\/((-2)\/q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*q = -634*q + 870 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 21*l**2 - 24*l - 139. What is u(-20)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 34*i**2 - 3*i**2 + 44*i**2 - 4*i**2.\nAnswer: 71*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 8*j**2 - 10*j - 1. Let y be d(-7). Suppose -2*m + 0*m + y = 0. Suppose 3*w - 2*w - 7 = 0. Calculate the least common multiple of m and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -300500 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (219\/(-5))\/((-5)\/25). Suppose -p = 3*l - 898, 10*l + 2*p - 1196 = 6*l. Let g = l + y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*w**2 - 440120*w - 23164.\nAnswer: -4*(w + 5791)*(19*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z. Suppose 0 = a + a + 2. Calculate g(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/8 and -29\/94?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 90\/21 + -3 + (-16)\/56\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -5*l + 16. Let y = 18 - l. Solve 0*m - 4*m = y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -13*y - 32. Let u(t) = 11*t + 11. Let g(l) = -6*l - 5. Let q(r) = 5*g(r) + 3*u(r). What is -4*b(x) - 18*q(x)?\nAnswer: -2*x - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1352*q = -3719*q + 239415 + 59595 + 380504 for q.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 124 = -54. Suppose 0 = 6*v - b*v + 3. Determine r so that 3\/4*r**5 - 3\/2*r**4 + 0 - 21\/4*r**3 - v*r**2 + 0*r = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101010000 (base 2) to base 8\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(2 + sqrt(171) + (2 + sqrt(171))*-2 + sqrt(171)*-3*-4*-5)**2.\nAnswer: -3817772 - 4392*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*g = -48*g + 2*a + 15 + 13, 126 = -5*g - 33*a for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 476*(15\/(-4))\/5. Let s = h + 201. Let n = 251 + s. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140685 divided by 415\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2524, 2523, 2522, 2521?\n\"Answer: -a + 2525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/1679?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3*b + 0*b)*(0 + 3 - 1 + (5 - 3 - 4)*(-1 + 1 - 1)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Suppose l*c + 73 - 16 = 3*s, -3*c = 4*s - 47. Suppose t - s = -0*t. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dba + b?\nAnswer: dc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 3*h - 71, 0 = 68*h - 65*h - 3 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 + 14*b to the form u + f*b and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*6\/(-63) + (-89)\/(-7). Suppose 0 = -6*s + 2*s. Let j be s + 0 + -3 + 18. Is a less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - w - 31 = 0, 27*w + 16 = 23*w. Let y(c) = -c**3 + 9*c**2 + 2*c - 28. Determine y(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from rkky?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -c28 (base 13) to base 12\nAnswer: -123a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -20. Is y + (-4 - -1219) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let a = 34 - w. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-35))\/j**(-3\/4)*((j*j**(-3\/19)\/j)\/j)\/(j*j**(1\/63)) assuming j is positive.\nAnswer: j**(-164821\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3802, 2778, 9344, 15890, 22410, 28898, 35348?\n\"Answer: -m**3 - m**2 + 6590*m - 10390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 19 = -4*g. Let i be 2 + g\/(7\/(-64)). What is the highest common factor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -5*x + 4*l, x - 9 = 2*l + 8. Let a be ((-64)\/10)\/((-2)\/10). Let m = a - x. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 8*b + 17 = 0, 48*b + 8 = 50*b. Let c(q) = 8*q - 4. Let p(r) = 9*r - 5. Let z = 1 - -1. Give l*c(j) + z*p(j).\nAnswer: -6*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 900*n - 1808*n + 3 - 1 + 873*n. Let m(w) = w**2 - 3*w**2 + 0*w**2. Determine m(v(g)).\nAnswer: -2450*g**2 + 280*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*j*v**3 + 31*j*v**2 - 58350*j*v - 18*j + 1758*v**3 + 2 wrt v.\nAnswer: 144*j*v + 62*j + 10548*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 + -68. Suppose 2*d - 937 = -v, -4*d = -l*v - 5*v + 4685. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.6 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*c - 2*t - 139, c + 2*t = -31. Let a = c + 56. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9161901 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 6*c - 124. Solve 0 = c*b + 2*k - 14, 0 = 3*b - 4*k + 19 - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + p - 11. Let q(u) = u**2 - 6. Let y(a) = 7*q(a) - 3*z(a). What is the tens digit of y(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97)\/((-5335)\/(-330))*(-23)\/(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 6*q**2 + 8*q + 6. Let f = -115 + 123. Let x(z) = -z**3 + 9*z**2 + 6*z - 3. Let t be x(f). Let u = -114 + t. What is i(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**4\/24 + c**3\/3 + 4*c**2 + 12*c. Let a(y) = 2*y - 4. What is -2*a(t) - 5*k(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 divided by -7?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 58*q**2 - 89 - 62*q - 59*q**2 + 8. Let l(g) = -g**2 - 41*g - 54. Let t(r) = 8*l(r) - 5*p(r). Solve t(v) = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 - 15*a - 13. Let q(u) = -8*u**2 - 31*u - 27. Let i(m) = -5*f(m) + 3*q(m). Let p be i(19). Solve 0 = p*g + 2*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 558355623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 3 - 8 - 1229*i + 614*i + 605*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6069.98 - 6070. What is the fourth biggest value in -2, 0.3, -3, -3\/8, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 3*u**2 - 8 - 16 + 6*u - u**2.\nAnswer: 2*(u - 2)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -215\/3? (a) -1413 (b) 0.5 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23961 (base 12) to base 11.\nAnswer: 3309a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*((sqrt(2448) + (sqrt(2448)*1 + -5 - sqrt(2448)) - -2*sqrt(2448)*2) + 1)**2.\nAnswer: -244864 + 1920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12065\/2375 + 8\/(-100). Solve 2*k + m = 19*g - 24*g, k = 5*g + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -466.6355775 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + t - 10, -30 + 16 = -3*u - 4*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562801 is divided by 1137.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28997\/3 or -0.212?\nAnswer: -28997\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-578)\/(-4)*((-9 - -13) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -83*q + 47. Suppose 9 = -22*p + 19*p, -3*n + 4*p = 27. Is h(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i. Let j(r) = 96*r**2 - 32. Let v(o) = -32*o**2 + 10. Let a(u) = -5*j(u) - 16*v(u). What is s(a(y))?\nAnswer: -224*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*w = -96*w - 13052 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2788, 5589, 8390, 11191, 13992?\n\"Answer: 2801*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - m - 2. Let v be k(2). What is the second derivative of -p**5 - v*p + 3*p + 2*p**5 wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4848160 and 22.\nAnswer: 53329760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9*11\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -104841 >= -104839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26544767 is divided by 449?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 8\/(-5)) + (-6)\/10. Suppose 5*h - 3*h - 4*u = 122, x = h + 4*u - 31. What is the remainder when 253 is divided by h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-231)\/110*5*(-2)\/(-12)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42 minus 87473?\nAnswer: -87472.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c**2 - 2*c**2 - 5*c**2)*(0 - 2 + 3) + 3*c**2 - c**2 - c**2 + 10 - 10 + c**2 in the form t*c + k*c**2 + i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7096, -4 in decreasing order.\nAnswer: -4, -5, -7096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by 4.\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45, 46, 47?\n\"Answer: c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w + 29. What is v(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*w + 65 = 0, 5*w + 46 - 26 = -6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -183*q**2 + 239*q**2 - 38 + 262 - 66 in the form j + m*q**2 + w*q and give j.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101010010111 (base 2) in base 15?\nAnswer: 469e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40, 91, 310, 617, 1012, 1495, 2066?\n\"Answer: 44*t**2 - t - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 757*u**3 - 1486*u**2?\nAnswer: 4542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 89712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23928.98 rounded to the nearest one hundred?\nAnswer: -23900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14122*q**3 - 5774*q**2 wrt q?\nAnswer: -84732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262.62 - 116.08. Let l = z - -1.46. Let x = l - 148. Which is the closest to 39? (a) x (b) -0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-3*10\/(-6). Suppose -p - 5*j - 53 = -0*j, 3*j - 377 = s*p. Let u = -366\/5 - p. Are -1\/6 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 5440\/(-5))\/((-5)\/(-265)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*z - 299*z + 47 = -3*t, -3*t = -5*z + 127. Let l(x) = -x**2 - 31*x - 57. Determine l(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 388 = 106. Suppose 0 = -7*z + c + 79. What is the least common multiple of 10 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 458*s - 5015*s + 2347*s - 6546*s - 1177*s as t*s + b and give t.\nAnswer: -9933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7235, 14471, 21707, 28943?\n\"Answer: 7236*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 11 = -5*i. Suppose 0*u + 20 = i*u. Let t(v) = -v + 2. Calculate the smallest common multiple of t(1) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 115 = 5*n. Let y = n - 7. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**9\/y*y)\/(((y\/(y**(-2\/25)\/y))\/y)\/y) assuming y is positive.\nAnswer: y**(248\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 218456304 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 9*v = 10. Suppose v*z + 3*o + 13 = 0, 2*z + o = -2*z - 9. What are the prime factors of 31 - 1\/(z\/(-4))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*323\/19*(65\/(-13))\/15.\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 48\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.1. Let q = 5 + 3. Let p = 7 - q. What is the nearest to 0 in p, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:41 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 41*w - 3. Let u(h) = 4*h**2 - 149*h + 9. Let t(s) = 7*f(s) + 2*u(s). Calculate t(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(78))\/sqrt(3)*2)\/((sqrt(56)*1)\/sqrt(7)))**2 + 2.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30185 - 0.1.\nAnswer: 30184.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334719.2 micrometers to millimeters.\nAnswer: 334.7192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p + 11. Let w be m(4). Let d be -2*-2*(w - 28). Let t = -104 - d. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:58 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 75\/11 (b) -0.018 (c) 49 (d) 3\/2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.2452l in millilitres?\nAnswer: 311245.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3005*s - 8992. What is i(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298187 at most as big as 1298322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 65166 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4467, -4442, -4433, -4440, -4463?\nAnswer: -4502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (17 + -8 + -2) - -1) + -21.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -218.97 + 218. Let a = 0.03 - j. Which is smaller: -0.3 or a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g - 27 + 117. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384\/3648*(-228)\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 461, 446, 431, 416?\n\"Answer: -15*d + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -58, -70, -98, -148, -226, -338?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 1 + 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843 - 1?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let l be (z\/(-78))\/((-3)\/(-9)). Let g = -3 - -3.4. Sort g, 1\/2, l in decreasing order.\nAnswer: 1\/2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 2, h: 5}. Give prob of sequence pg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/2238 and 69\/1492.\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 3*g + g)*(0 - 26 - 11) + 2*g + 3*g - 3*g to the form z + y*g and give y.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7831?\nAnswer: 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1088671 (base 13) to base 7\nAnswer: 61061641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - a7c?\nAnswer: -a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.016, -141, -4?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 + 11*f - 7. Let m(v) = -11*v**2 + 21*v - 15. Let h(o) = -o**2 + 223*o - 9253. Let x be h(168). What is x*d(w) + 6*m(w)?\nAnswer: -w**2 - 17*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3413*t + 252642 = 1359*t for t.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222221 (base 3) to base 8.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 665 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 435034063 and 4573.\nAnswer: 4573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w - 2. Let p be n(-7). Let q be (-88)\/(-55)*p\/(-2). Let j be (-13)\/q + (-3)\/(-44). What is the nearest to 1 in -1, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3026 + 5665. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 20 = 75. Let g be u\/4 + (-18)\/(-24). What is the units digit of g\/56*4 - 1418\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a + 18. Determine z(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1 - 2) + (2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by -1925\nAnswer: -83\/1925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**3 - 3*o**2. Let v(y) = 6*y**3 - 2*y**2. Determine -4*j(h) + 7*v(h).\nAnswer: -10*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 199, 438, 753, 1132, 1563?\nAnswer: 2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 269*c + 1684750 = 0. Does 65 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3 - 4924*c**2*y**3 + 5*y**3 - 2*y**2 + 9 with respect to c.\nAnswer: 3*c**2 - 9848*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (26 + 4)*(-2 + 4) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (2*sqrt(162) + 1)*5*-5.\nAnswer: -450*sqrt(2) - 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -422 + 236. Let b = f + 187. What is the nearest to 6 in 2, -1\/3, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/24745 and -57\/14140?\nAnswer: 98980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 13*a + 11. Let p(x) = 5*x. What is -2*k(v) - 6*p(v)?\nAnswer: -2*v**2 - 4*v - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -1110011101010100101101010?\nAnswer: -1110011101010100101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 + 138. Let d = w - 34. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 - 2*d**5 + 4927*d**4 + 5158*d**2 - 1 wrt d.\nAnswer: 240*d**3 - 120*d**2 + 118248*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/228 and 31\/1482.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48059337, 48059339, 48059341, 48059343, 48059345?\nAnswer: 48059347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14041540999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4294 + -4282. Solve 15*k + j*k = 27 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(595\/34) + 0)\/((-4)\/(-164)*-1)\nAnswer: -82\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175467 greater than or equal to 175467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n**5 - 1482226*n**4 - 4716987*n.\nAnswer: 100*n**3 - 17786712*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -343*w**2\/2 + 484*w - 92. Differentiate r(t) with respect to t.\nAnswer: -343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/5 of a litre?\nAnswer: 8600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 487 - 475. Solve 10*v - y*v = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqrqbbrarbrbbbqqqbq. Give prob of picking 2 r.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2958?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w - 63*w + 14*w - 10*w - 3*w**2.\nAnswer: -3*w**2 - 73*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3516855*g**2*x**3 - 104079*g**2*x**2 - 12*g**2 wrt x?\nAnswer: 21101130*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*g = -36, 156 = 2*q + 2*q - 5*g. Let l(u) = u**2 - 12*u + 15. Let y be l(11). Calculate the greatest common divisor of q and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1362 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 + 50 + 50 - 100.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/49, 0.3, -4\/7, -0.3, -5 in decreasing order.\nAnswer: 0.3, -2\/49, -0.3, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1219953 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p = 3*p - 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/192)\/((-34)\/(-8))*8\/(-2).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 465648527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4841*n - 106 = 4884*n - 4*o, -4*n - 3 = o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**4\/8 - 5*a**3\/3 + 48*a**2. Let z be t(6). Solve 0 = -z*h + 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -13*b - 8. Let z(i) = 13*i + 8. Let o(x) = 6*a(x) + 5*z(x). Let j be o(-6). Let w = j - 5. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/1 - (-1209)\/(-468) and 71\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*i**3*m - 3*f*i**3 - 3*f*i**2*m + 2*i**3*m + 10*i + 2*m wrt f.\nAnswer: i**3*m - 3*i**3 - 3*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 5\/46732212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421638 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h**(-28)*h))\/(h\/(h\/((h*h**(-35))\/h))))\/(h**30*h**(-1\/3)) assuming h is positive.\nAnswer: h**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u - 7*u)*(170*u**2 + 0 - 396*u**2 - 501*u**2 + 0).\nAnswer: 4362*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 = -42. Solve -4*l + 14 = -4*t - p, 5*t = -l - 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125341 - -212?\nAnswer: 125553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*v + 16. Calculate the common denominator of 14*(-2)\/5*(v + -6) and (14\/(-12))\/((-3)\/10).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192575 to the power of 1\/2, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 260535.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/14*(-56)\/48. Let n = 4.5 - 5. Let s = 2 - 2.2. Which is the nearest to 1? (a) n (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1463*h - 1270*h - 2988 - 2223 = 0 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 40*t + 11 - 85*t - 23 + 40*t + 13 to f*t + b*t**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least 192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1766084 is divided by 77.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 + 2*w + 1. Let m = -6 - -5. Let z be y(m). What is the units digit of (-6 + 1)*2\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukdkuuu. Give prob of sequence ku.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 2093, 7012, 16595, 32396?\nAnswer: 55969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386302101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35\/12 in -5, -0.2, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v**3 - 1\/24*v**4 - 1\/168*v**8 + 0*v - 1\/12*v**5 - 7*v**2 - 1\/30*v**7 - 3\/40*v**6 + 0. Find x such that l(x) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 158*r**2 - 19*r - 38. Let l be f(-4). Let i = -233 + l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3933040*q**4 - 4776947*q?\nAnswer: -47196480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2273352 (base 8) to base 2.\nAnswer: 10010111011011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 11*r**4\/4 + 91*r**3\/6 + 18*r**2. Is z(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - ((sqrt(432) - (-1 + sqrt(432))*2) + sqrt(432) + sqrt(432) - sqrt(432)) - (-5 + sqrt(432) + 2 + sqrt(432)))**2.\nAnswer: -24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*n**2 - 2\/3*n**5 - 2\/3 + 4\/3*n**3 - 2\/3*n**4 - 2\/3*n.\nAnswer: -2*(n - 1)**2*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24274380 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 683848*b**3*r - 3*b**3 - 2*b**2*r + 760051*b**2 - b - 2 wrt r?\nAnswer: 683848*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 45 - 562718*t + 0.\nAnswer: -562718*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (37482944\/96)\/((-133)\/147 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*15*5\/(-9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 37*p**2 + 4 - 4*p - 35*p**2 - 2 - 7. What is k(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 10524*c**2 + 6916896*c + 6927424.\nAnswer: 4*(c - 1316)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31993\/11736 - 5\/1304. Calculate the common denominator of -49\/666 and t.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yek. What is prob of picking 1 y and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a factor of 45784140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 5*x = 17*s + 93, -320 = -5*s - 4*x. Calculate the highest common factor of s and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59050847 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6386 - -6386.2. Which is the nearest to -3? (a) -1\/10 (b) r (c) -9\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {h: 1, x: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 at most 678943\/1239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.353 and -79.\nAnswer: -79.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 59256 = 60684. Suppose 5*f - 4*r + 30012 = 0, -3*r - v = 4*f + r. Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117060 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-42))\/((-20157)\/(-47033))?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqpqhpqhhhqppqq. What is prob of sequence qqqq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2468756 - -28515244. Round f to the nearest one hundred thousand.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1509 + -1394. Calculate the highest common factor of o and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.1, -7\/10, -0.2?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = 2*q - 15, -y + 2 = -3*q. Let g = 18 + -6. Let r = y + g. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (-3 + 0 + 7 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 + 432*w\/11 + 430\/11.\nAnswer: 2*(w + 1)*(w + 215)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**5 - p**4 - 3*p**3 + 3*p. Let q(b) = -b**5 + b**2 - b. Let v(c) = q(c) + w(c). Factor v(x).\nAnswer: x*(x - 2)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/26136228 and -9\/10.\nAnswer: 130681140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.476 + -0.524. What is the closest to -0.4 in 0, c, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 1466959?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -5)\/(1 + 0). Let q be -1 + 3 + -2 + m. Let p(d) = -d**3 - d**2. Calculate p(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 587346 and 1272.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 2, -0.5, -5, -2, 38 in ascending order.\nAnswer: -5, -2, -0.5, -2\/21, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*4)\/(18\/12). Let q be (2\/24)\/(x\/36). Suppose 12 = 6*t - 3*t. Which is the second smallest value? (a) t (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -61*m + 3. Let i(n) = -n - 15. Let q(y) = -5*y**2 + 3*y. Let f be q(2). Let b be i(f). What is the tens digit of t(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 52 - 44. Suppose 0 = 3*u - 5*p - 55, 5*p - p = u - a. Calculate the remainder when 79 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -3323dc?\nAnswer: 3323dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Suppose 4*o = -2*c + 118, -2*o = -o - a*c - 24. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33379 is divided by 269.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240642077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1 (b) 0.5 (c) 145 (d) -1738 (e) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(211*b + 398*b - 248*b + 357*b).\nAnswer: 718*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -472.1?\nAnswer: 188.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*n = n + 2525, -2*y - 1010 = 5*n. Let a = 125282 + -13781121\/110. Calculate the common denominator of a and 4\/1 - y\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 - ((-105)\/60 - 7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**4 + 36*a**3 + 238*a**2 - 153*a - 1041. Let j(z) = 2*z**4 - 78*z**3 - 475*z**2 + 307*z + 2083. Let b(g) = -3*j(g) - 5*x(g). Factor b(c).\nAnswer: -(c - 58)*(c - 2)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) -62 (c) 106 (d) 3\/2 (e) -8 (f) 2\/21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u - 3*u - 20 - 2*u - 615 + 8*u to p*u + w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-134)\/(-2832))\/(12\/72 + 12\/(-18)) and 49\/590.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8342, 0.098, 4.\nAnswer: -8342, 0.098, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -29. Suppose j = -5*o + 5*b - 7, -4*o + 9 = 3*b. Solve -s - 5 = o, l = 4*s + 6 + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5\/2 - 391*j**4 + 73379*j**3\/2 + 1499732*j**2 - 146750*j - 5992672 = 0.\nAnswer: -863, -31, -2, 2, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 96272 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + -5 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.58 + -0.48. What is the second smallest value in 4\/5, f, 1, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1431799 = 4*j - 76757, 0 = -2*j + z + 754280. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 z, and 1 j when three letters picked without replacement from xjgjwjjgjxzmxg?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*u - 5*r - 434, -434 = 2*u - 3*r. Let k = -212 - u. Solve -5*h = -k*c - 5, -c + h - 2*h = -7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) - 2526\/1080. Let l = 28\/15 + y. Let h = -141\/4 - -35. Put l, 0.1, h in descending order.\nAnswer: 0.1, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46368, -92724, -139080, -185436, -231792?\n\"Answer: -46356*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojlcool. What is prob of sequence ljol?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 535224 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*h - 54*h = -q + 7, 3*h = 2*q - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101200120211 - 11?\nAnswer: 1101200120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (2\/14)\/((-27)\/(-378)) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(833) - (sqrt(833)*-1 + 2)) + sqrt(833) - sqrt(833)) + sqrt(833) + sqrt(833))**2.\nAnswer: -224*sqrt(17) + 13344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 1:04 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7569*c**3 + 46*c**2 - c + 40.\nAnswer: -45414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*p + 4*x + 57, -4*p + 5*x + 61 = 0. Let a = -6 + 9. Let f = -91710 + 91714. Solve -2*b + p = -5*o - a*b, 0 = f*o + 5*b + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190118206.\nAnswer: 2, 3, 11717, 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36261568 a multiple of 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17180.55 litres?\nAnswer: 17180550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 55?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 1. Let h(v) = 11*v + 6. Suppose 2*s - 7*s = 240. Let a = s + 54. Calculate a*h(m) + 34*l(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.5 + -5. Let i = -3.5 - d. Suppose 2*r + 18 = 4*w, -3*w - 2*w + 23 = -2*r. Which is the nearest to 0? (a) 1 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -6 + 7 - -1) + 0 + 1 + 14\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (1 + sqrt(684) - sqrt(228)\/((sqrt(60)\/sqrt(5) - sqrt(12)) + sqrt(12) + sqrt(12))))*2)**2.\nAnswer: -88*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*v = 24, -2*v = -4*g - 5*v + 14. Solve -x - 6 = -3*x - 2*j, -g = -5*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 4:56 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 4*d - 18, 70*x + 71*x + 75*x + 5*d = 211*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -10. Suppose -x = j*w - 3*w - 11, 0 = 4*x + 2*w - 16. Let c(h) = -5*h + 7. Let f(n) = 4*n - 7. Let d(k) = -3*c(k) - 4*f(k). Calculate d(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/4 - (209 + -189).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 960 - 498. Let s = -465 + y. Let p(m) = 3*m. What is p(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**6\/6 + x**3\/6 + 233*x**2\/2 + 295*x. What is the first derivative of f(h) wrt h?\nAnswer: 20*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(768)*-1 - sqrt(768) - sqrt(768)))\/(5*(sqrt(2) - sqrt(64)\/sqrt(2))).\nAnswer: sqrt(11)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/3384 and 83\/5076.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*t = 382*t - 769*t + 1452 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41, 200, 359, 518, 677, 836?\n\"Answer: 159*m - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 3*j**2 - 3*j + 2. Let u be k(2). Suppose 592 = 5*o + 2*r, u*r - r = 2*o - 236. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 3509 - 1131 = 0. Calculate the greatest common factor of c and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 38 = 4*o + d, -6 = -3*d. Suppose -60 = -3*c - o*n + 8*n, n = -3*c + 66. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -81, -1, 0, -252, -5 in decreasing order.\nAnswer: 0, -1, -5, -9, -81, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 436*k**2 + k. Is j(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1316 - 1316 - 18*o)*(106 - 104 - 211) as f*o + r and give f.\nAnswer: 3762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 87 + 15\/(-6)*30\/(-25). Is o < 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4222121*m - 2765 = 4222086*m for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -3, -11, -21, -33, -47, -63?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**4\/24 - n**3\/6 - 6*n**2. Let o(g) = -27*g - 10. Let t(d) = 3*l(d) + o(d). Is t(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/48 + 1\/16. Let j(v) = v**3 + 10*v**2 + 16*v - 15. Let c be j(-7). Suppose -2*q = -4*u + c, 2*q + 2 = -3*u + 17. Put q, -1\/18, x in ascending order.\nAnswer: x, -1\/18, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -270*k - 2423. Determine v(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - k + 1. Let i(p) = 5*p**2 + 15*p + 3. Let h(m) = i(m) + 4*t(m). Let f be h(5). Is -14 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3942*n**2 - 49*n - 42. Let u(l) = -1971*l**2 - 25*l - 19. Let j(g) = 3*h(g) - 5*u(g). Find the second derivative of j(w) wrt w.\nAnswer: -3942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3497, 6590, 9683?\n\"Answer: 3093*b + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 208 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - 3 - (2 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 208722767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.140291 bigger than -200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 302 - 3?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 1, b: 3, p: 1, a: 1}. What is prob of picking 1 p and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, a: 3, x: 2, l: 2, s: 1, p: 3}. Give prob of sequence aasp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 287537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 7*q - 111. Solve 0 = -41*y + q*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -3. Let h(o) = 8*o**4 + 9*o**3 - 9*o**2 - 9*o. Let z(q) = -2*q**4 - 2*q**3 + 2*q**2 + 2*q. Let b(u) = d*h(u) - 9*z(u). Factor b(s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**3 + 4*n**3 + 14*n**3 + (-10*n - 14*n - 8*n - 3 + 3 - n + 1 + 2*n - 1 + (0 + 1 + 1)*(2*n - 4*n + 3*n) + n - 5 + 5 + 1 - 1 + n)*(-4*n + 4*n + n**2).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 14*z - 12. Let r be i(-13). Let f(v) = -4*v**2 + v - 2. Let k be f(r). Let x(c) = c + 9. Calculate x(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19379 + -58130\/3. Factor -2\/3 - k*h - 1\/3*h**4 - 5\/3*h**3 - 3*h**2.\nAnswer: -(h + 1)**3*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**6\/40 - o**5\/12 - o**2 - 6*o. Let i(b) be the first derivative of d(b). What is the third derivative of i(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**2 + 3*d**2 - d**2 - 22*d + 7*d**2 - 8 = 0.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 4*t - 13. Let c be f(5). Is -6 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 21*l - 56. Calculate y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 124, -3, -1, 11, -13, -4 in decreasing order.\nAnswer: 124, 11, 2, -1, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 16. Is 1642\/18 - 2\/z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/22 - ((-1190)\/22 - -17). Solve -b = 1140*w - 1131*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*v**2 - 61*v**2 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.165 + -0.165. Which is the biggest value? (a) w (b) -5 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41839.505 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*b + 2*l - 0*l, 0 = -4*l. Let n = 1 - b. What is the greatest common divisor of n and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(4))**2*2 - (sqrt(112) + sqrt(112) + 1)) + sqrt(140)\/sqrt(5) + (sqrt(126)\/sqrt(2))\/sqrt(9).\nAnswer: -5*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 1462486324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1324 + 1352. What is the greatest common factor of 252 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 2, r: 1, m: 5, d: 3}. What is prob of sequence dsm?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 585882893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:15 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*j = 27*j. Is j >= -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 59 = -74*w + 77*w, -3*w = -4*s + 121. Which is smaller: s or -1\/95?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 7*x**2 - 4*x - 19. Let r be s(-9). Let v = 351\/2 - r. Let y = -0.6 - -1. Which is the third biggest value? (a) -1\/4 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14296, 14297, 14298, 14299, 14300?\n\"Answer: b + 14295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((s**2 - s**2 + 2*s**2)*(3 - 6 + 2) - 2*s**2 + 3*s**2 - 5*s**2 - s - 2*s**2 + s)*(6*s - 8*s - 7*s) to the form u*s**2 + t*s**3 + a + n*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2726720 is divided by 66505?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97746279 = 5*k + 2*i - 12871281, 50924998 = -3*k - 2*i. Round k to the nearest 100000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -6, 34, 112, 240, 430, 694?\n\"Answer: 2*n**3 + n**2 - 3*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128 - 8188.\nAnswer: -8316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-280)\/(2\/9*3). Suppose 119 = 27*a + 38. Does 18 divide a\/2 - z\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:05 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1716 divided by -12\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2240 + 944 + 374*r - 1430*r - 455 - 1096 wrt r?\nAnswer: -1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188595085 a multiple of 1104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 19. Which is the second biggest value? (a) -1\/4 (b) q (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -23*u**3 + 2*u**2 + 2*u + 1. Let b be m(-1). Suppose -w + b = 3*w. Suppose -4*s - w = -2*h - 36, -2*h = s. 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: What is the closest to 4\/9 in 0.4, 1, -2, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*m = 14, 0 = 5*y - y + m - 10. Suppose y*r = 4*h - 54, 0 + 21 = h + r. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 7) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2\/3 - 0). Let c = 2 - d. Solve 0 = -2*o - 4*m + 3*m - 6, -16 = -4*o + c*m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(4\/7)*v**9\/(v**7*v)*(v**(1\/3))**(-49)\/(v**(-1)\/(v*v*v*v\/(v**(-1\/14)*v)*v*v*v)) assuming v is positive.\nAnswer: v**(-299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 1.6. Let s = -3.2 - -2.8. What is the closest to 0.1 in x, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -24*t + 3. What is w(2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a*a**(3\/4)*a**3\/a*a**3)\/(a**(-2)\/a*a**(-6)\/a)**7 assuming a is positive.\nAnswer: a**(299\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l = 0. Let q be 8 + -11 + 4 + l. Let s be (q - 0)\/(1\/(-2)). Let t(r) = -r. What is t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o - 1. Let t(x) = -21*x + 3. Let u(c) = -5*f(c) - 2*t(c). Let v be 0 + (4 + -2)\/2. Give u(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1377) - sqrt(1377))*-4 + sqrt(1377) + (sqrt(1377) + 3)*1 + sqrt(1377) + 5*(5 + (sqrt(1700) - (sqrt(1700) + -1)) + -5))**2.\nAnswer: 432*sqrt(17) + 12457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -133 + r**2 - 3*r**2 - 110 - 142 + 59 in the form d + p*r**2 + y*r and give d.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 less than 19829083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (5 - -6 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*j - x, 2*j - 4*x - 67 = -43 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**4 - 7840*g**3 + 7840*g**3 - 1 + 18*g to u*g + z + m*g**3 + r*g**2 + i*g**4 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/((36\/(-16))\/1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30*(-15)\/(-12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2*6\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 24 (c) 0.3 (d) -3.41 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/390 and -41\/900?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*r - 70 = 0, 5*z - 3*r + 6*r = -86. Let i = 18 + z. What is the second derivative of 2*t**i - 78 - 3*t + 78 wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 - 94. Calculate the greatest common factor of 4334 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1805, 7, 88, 4, 2 in descending order.\nAnswer: 1805, 88, 7, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 + 5*s. Let w be r(5). Suppose -5*b = -5*d - 40, w*b + 5 = b - 2*d. Calculate the remainder when 405\/10 - (-1)\/(-2) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*20\/10*2\/28\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = 4*j + j, -4*p = -j. Suppose 25 = -2*o - 3*o, 0 = -3*g - 2*o - p. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3, -4, 0, -350 in decreasing order.\nAnswer: 1, 0, -2, -3, -4, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284 + -139. Let v(h) = h**3 - 52*h**2 + 99*h + 196. Let y be v(50). Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 8. Let c(o) = -516*o + 518*o - 1 - 31 + 6 + 3. Suppose 0 = 5*m - 2*m - 24. Calculate m*j(v) + 3*c(v).\nAnswer: -2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6826840 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3775368, 7550740, 11326112?\n\"Answer: 3775372*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -753*x - 51199. Give z(-68).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, -2, 33, 102, 217, 390, 633?\n\"Answer: 2*v**3 - v**2 + 2*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 y, and 1 f when four letters picked without replacement from fuuufuyufuufufffuuuu?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1497, 1494, 1491, 1488, 1485?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/(-441) - (-160049)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18988 - 18954. Solve 42*u - w*u = -32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -7, 0.4, -0.08, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (11 + -40 + 6 + -9) - 8\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 250*r**2 + 2. Let q(k) = -2*k**2. Determine q(g(x)).\nAnswer: -125000*x**4 - 2000*x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -81. Suppose -q = o*j - 1322, -4*j + 5292 = 4*q - 0*j. Suppose 0 = -13*l + 9*l + q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 6 = 3*o, 4*o - d = d + 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-2243.4487.\nAnswer: 673.03461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9512, 10984, 12456, 13928, 15400, 16872?\n\"Answer: 1472*b + 8040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1800 - 1796. Let s(d) = -3*d + 20. Let o be s(6). Solve k = -y*a - 5 + 12, -o*k = -2*a + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 3*n**2\/2 - 5*n + 2. Suppose 2*l + u = -4, -4*u + 18 = -u. Determine z(l).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 1. Let v(z) = 10*z - 15. Let a be 2\/11*(-319)\/(-58). Let n be v(a). Determine h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20*87\/(-2900))\/(-6*(-4)\/1480)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040192 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, g: 7}. What is prob of picking 3 g?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*k - 3*j, -k - 3371*j = -3375*j + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/3)*v**(2\/43)\/v*v**(-1\/2)*v**(-4\/17) assuming v is positive.\nAnswer: v**(-4483\/4386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25911 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -132384.47700996.\nAnswer: -132381.47700996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 468.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174200684.\nAnswer: 2, 7, 888779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2942169 and 1169583?\nAnswer: 4047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + 27. Let y be (1 - -1) + l\/(-28). Let h = 26563\/11 - 2415. Which is the second smallest value? (a) h (b) -0.5 (c) 4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2618 - 2572. Solve 4*n - 2*y - 2 = 0, 49*y - o*y = n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 903 = 14*a. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -3, -2352 in decreasing order.\nAnswer: 4, 1, -3, -2352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508492805.\nAnswer: 5, 101698561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from aajjjjajjja?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 17*r + 6. Let u be j(7). Which is smaller: -72 or u?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/3, -0.3737, 1\/7 in descending order.\nAnswer: 2\/3, 1\/7, -0.3737, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*k + 41 = -162. Solve 0 = -k*a + 2*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2300, 9300, 21004, 37418, 58548, 84400, 114980?\n\"Answer: b**3 + 2346*b**2 - 45*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3555 - -5277. Let g = -12093\/7 + s. Calculate the common denominator of 2\/(-4)*(-60 + 1) and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 258?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62006983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000078826 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccaemmc. What is prob of sequence ca?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o - 25 + 0*o**5 + 1\/2*o**6 + 8*o**3 + 0*o**4 + 0*o**2. Find the third derivative of i(y) wrt y.\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21)*-1)\/sqrt(7))**2 - 5*(sqrt(48))**2) + (-3 + 1 + sqrt(3) + sqrt(27) + 1)**2.\nAnswer: -188 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136\/7 - 1782\/91. Which is the nearest to 2\/11? (a) 9 (b) -1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.4, -3, 5, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 3*m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -181.1. Let w = -189 + 193. What is the third biggest value in w, 2, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 4*v + 1. Let t(s) = s**2 + 1. Let u be (-2)\/4 + 3\/2. Let w(p) = u*g(p) - t(p). Find the second derivative of w(j) wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 - h + 2)*(536*h**3 + 46*h**3 + 308*h**3).\nAnswer: -890*h**4 - 1780*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Suppose -4*d - 3*j = -6 - 0, -2*j = 3*d - u. What is the units digit of 6\/2*(1 + d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*b - 26 - 10 = 0, 33 = 3*k - b. Let s = 17 - k. Suppose -5*q - x = -22 + s, 2*q + 5*x = 16. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2257.43 rounded to the nearest integer?\nAnswer: -2257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3615842, 3615839, 3615836?\n\"Answer: -3*p + 3615845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*s - 49*s - 92*s in the form a*s + o and give a.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97*s - 99*s - 169*s - 9 - 2 + 37*s)*(-7*s + 11 - 11) to the form m + d*s + n*s**2 and give d.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1016, 2680, 5436, 9272, 14176?\nAnswer: 20136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h + 348. Let u = -97 - h. Let v = -143 + u. Calculate the remainder when v is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -5823?\nAnswer: -5826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 5:59 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 18, -2\/3, -2\/9, 2, 2\/9, 1\/134?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q - 164. Let j(z) = -7428*z. What is f(j(u))?\nAnswer: 51996*u - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(80))**2 + 2 + 4*(-2*sqrt(5))**2.\nAnswer: sqrt(5) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3259099408?\nAnswer: 2, 203693713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = m - 20, 556*m - 560*m + 26 = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*q + 2. Let y(d) = 3*d - 1. Let n be y(1). Calculate the highest common factor of q and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**5\/10 + 5*u**3\/6 + 25*u**2 - 128*u + 2. Let h(y) = -y**3 + 3*y + 25. Calculate -5*h(j) + 3*x(j).\nAnswer: -j**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/(7\/42). Suppose 0 = u + q - 4*q - 37, -3*u - v*q + 111 = 0. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 7. Let z(y) = -y + 4. Let j(a) = -4*d(a) + 7*z(a). Let w = 1 + -1. Suppose -15 = -w*q - 3*q. Determine j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 52*l**3 - 2*l**2 - 3*l - 2. Let k be u(-2). What is k rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80813279 + 200495571. Let g = i + -281308802.2999534. Let a = 47.7 - g. What is a rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -202*i + 785. Give u(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**3 - c**2 - c. Let p(u) = -u**2 + 24. Let j be p(-5). Give b(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 4*y + 2. Let m be n(4). Suppose z = -m*z + 6. Let b(x) = x**2 + 7*x - 1. Let o be b(-9). Solve 4*h + 11 = z*t + h, -2*t + 5*h = -o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-44)\/3) - 94\/104*-1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**2 + 1. Let h(j) be the second derivative of 0 + 0*j**3 + 0*j**2 + 6*j + 7\/12*j**4. Calculate c(h(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 199*t + 205*t + 3*t**2 + 1 - 4 as o*t + n*t**2 + z and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110011000101101 (base 2) in base 11?\nAnswer: 62988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.8 - 15.9. Let s = -1 + 2. Which is the nearest to w? (a) 3 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**6\/30 - 2*r**3\/3 - 2*r**2 - r. Let b(i) be the first derivative of z(i). Find the first derivative of b(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -9, -23, 1 in decreasing order.\nAnswer: 1, 0, -3, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20002110 (base 3) to base 11\nAnswer: 3377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 83\/32070?\nAnswer: 83\/32070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -246 and -0.09.\nAnswer: -246.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/344*393\/393.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v - 0. Suppose -u - 1 - 1 = 4*l, 0 = -3*u + 5*l + 79. Calculate the smallest common multiple of v and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 - 84*j**2 + 360*j - 368 = 0. What is j?\nAnswer: -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 + (-220)\/(-600). Put p, -3\/7, -1\/6, -2\/7 in descending order.\nAnswer: p, -1\/6, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -124.27645093729 and -10.\nAnswer: -134.27645093729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 333391651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018204015 rounded to 5 decimal places?\nAnswer: 0.0182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:03 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 1. Let q(k) = k**2 + 1150*k + 6868. Let m be q(-6). Let x(o) = -5*o - 22. What is m*g(r) + x(r)?\nAnswer: -r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -8, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:04 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*t - 18 = 0, a - 4*t + 0*t + 7 = 0. Let d(c) = 2 + 0*c**3 + c + 0*c**3 - 3*c**2 + c**3 - 2*c**3. Determine d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6260*k + 6260*k - 3 - k**5)*(-9 + 1 - 1)*(8 - 2 + 6).\nAnswer: 108*k**5 + 324","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 629 by 125.\nAnswer: 629\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -91, -158, -263, -418, -635?\n\"Answer: -2*i**3 - i**2 - 24*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 46\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 27. What is the smallest common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 - 21*o**2 + 16*o + 37. Let c = 7 - 3. Calculate the common denominator of d(-11) and 1168\/180 + c\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 7*o - 102 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -145, 302, 1081, 2180, 3587, 5290, 7277?\nAnswer: 9536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44022164 to the power of 1\/2, to the nearest integer?\nAnswer: 6635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = 5*b, -2*b - 1 = -5*x + 18. Let n be x - 2\/(8 - 10). Let l(h) = h**2 - 9*h + 12. Determine l(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/6 + h**3\/3 + 12*h + 5. Factor a(m).\nAnswer: 2*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2 - 1946962*l - 42832680 = 0.\nAnswer: -1946940, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**7\/1008 + h**5\/10 + h**3\/6 - 109*h**2. Let c(t) be the third derivative of q(t). Let m(r) = 29*r**2. Calculate m(c(s)).\nAnswer: 725*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126918575 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42076 and 3.\nAnswer: 126228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40055 (base 6) to base 3.\nAnswer: 21011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -30*t**3 - 6*t**2 + 4*t - 21. Let q(j) = -31*j**3 - 5*j**2 + 3*j - 17. Give -5*i(u) + 6*q(u).\nAnswer: -36*u**3 - 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252503?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -4029.\nAnswer: -4029.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4 + g**2 - 7*g - 5. Let q(h) be the first derivative of p(h). Find the first derivative of q(b) wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -7. Let l = d - -16. Suppose -l*u = -268 + 53. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 15*o**2 + 15*o - 17. What is f(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 3*l - 34*l**2 + 4*l.\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30471, -30832, -31193, -31554, -31915, -32276?\nAnswer: -32637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -196 (b) -3.4 (c) -1062 (d) 2\/17 (e) -1\/2 (f) -2 (g) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, u: 1, w: 4, s: 5, x: 2}. What is prob of sequence wuvv?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12*r + 189 = 0. Which is greater: r or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145815625.\nAnswer: 5, 29, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56080 + 55810.41. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 4*n**2 + n - 3. Let f be d(4). Let o be f\/4 + 563\/4. Suppose 69 = 5*i - o. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 8:19 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 = w - 5, -3*l = -w + 3. Which is bigger: -38 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 42*r**2 + 47*r + 175. Determine c(-43).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16653*f - 1563995 = -167503 - 216407 + 884887 for f.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19824 or 1155?\nAnswer: -19824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.3. Let g = 2116 - 2113. What is the second biggest value in 1\/7, g, h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 128. Let s = 11 + -1. Suppose -52 = 8*b - s*b. What is the highest common divisor of b and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*a + 5 = 2*i, a = -4*i + 11. Suppose 3 + 1 = 2*d. Suppose -d*s + 2200 = -i*s. Round s to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*w - 5 = -4, 2*w - 3 = 3*s. Let n be 2*((-3)\/(-6) - s). Let k(d) = d**3 - 2*d**2 - 2*d - 4. Let z be k(n). Which is bigger: 3\/7 or z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2121 + 0.2121. Let q be 1\/(-1)*1 + 6. Which is the nearest to 0.1? (a) 4 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-42)*12\/(12\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5\/5 - 116556*w**4\/5 - 93216*w**3 + 3729408*w**2\/5 = 0.\nAnswer: -38848, -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*d - 43, 0 = -4*d - 7 - 5. Suppose 6*k = k + q. Let h(j) = 5*j - 5. Let z(m) = -m + 1. Let o(c) = k*z(c) + 2*h(c). Determine o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**5\/7 - 40*h**4\/7 + 208*h**3\/7 - 32*h**2.\nAnswer: -4*h**2*(h - 2)**2*(h + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 2) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 13422571.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31068 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42\/(4*(-6)\/(-40)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-4)*((-3780)\/60)\/(-630).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -2. Suppose -c = -n*c + 395. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 + 6*j - 3. Let r be w(4). Let i(v) be the first derivative of -v**2 + 4*v - 8. Calculate i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 940 and 23820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(56))\/sqrt(8) + (sqrt(7) - (((-2*sqrt(56) - sqrt(56)) + sqrt(56))\/sqrt(8) - sqrt(7)) - sqrt(7) - sqrt(7)) + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/4 + -87\/20. Let z = 0.48 - -12.52. Let s = z - 14. What is the nearest to x in 6\/5, 2\/5, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.339 times 0.3\nAnswer: 0.1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3 - 0) - -3) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 3*o**2)*(-o + 3*o + 3*o)*(-3*o - 2*o + 6*o).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27462 is divided by 273?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 194 and 86.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 + 1)\/(-1))\/(8\/(-3))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-681 - 0)\/(12\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -576, -1158, -1740, -2322, -2904?\nAnswer: -3486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 - 2*q + 1. Let g be ((-162)\/24)\/(-9) + 1\/4. Determine y(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/2)\/12*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 85\nAnswer: -1870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 413 - 7019\/17. Let o = l - 74\/51. Let q = -8 - -8. Which is the closest to q? (a) o (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57.3 - -61. Let d = 0.08 - -3.92. Let b = n - d. What is the smallest value in -2, b, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18193 times 0.7?\nAnswer: 12735.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1631112348 rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**3*v - 115384900*q*v + 288481727*v wrt q.\nAnswer: 9*q**2*v - 115384900*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 2*l, 2*l + 0*z + 5*z - 23 = 0. What are the prime factors of (l + 1975\/(-20))*-4?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 0, 3*f - k = 3 - 9. Let t(c) = -15*c**3. Let d be t(f). Suppose -4*z = -d - 120. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -59*s - 6 + 61*s - 143*s - 2. What are the prime factors of h(-2)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 25*x - 344. Let t be k(14). Solve -16*i = -t*i - 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 2250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) -1\/7 (c) 1\/394 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/49*14756\/16864*(-64)\/2?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06254256788 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/1 - (-3)\/(-3). Let v be -8*(-10)\/(-440) + 68\/11. Solve -2*a + a = -2*t + v, -10 = 2*a - k*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14053, -28097, -42145, -56197, -70253, -84313, -98377?\nAnswer: -112445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3092, -6653, -10214, -13775?\nAnswer: -17336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3785*g - 96 = 3789*g. Let d(u) = 2*u + 51. Calculate d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 6*b + 25*b - 12*b - b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 150 = -j, -j + 3*p - 6*p + 160 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 0. Let l = 5.08 - o. Let j = l - -0.22. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11718 - -0.2.\nAnswer: 11718.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 8:54 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 7805*b + 7804*b - 13 = -44, -5*k + b - 27 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240983?\nAnswer: 137, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/13 and -103\/4497454.\nAnswer: 4497454","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2) + 110\/(-30). Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -594025031?\nAnswer: -594025033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**4\/24 - 4*u**2. Let k be t(-2). Suppose -k*y = -15 - 95. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0)**(-27)\/((h**2*h)\/h*h)**(1\/11)*((h\/h**(1\/5))**(-16))**19 assuming h is positive.\nAnswer: h**(-14876\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20 times -0.34\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201862904.\nAnswer: 2, 23, 1097081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/2 - 10\/(-20). Calculate the greatest common divisor of a and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 + -7. Suppose 0*l = -2*l + j. What is the remainder when l is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -189*p - 2241\/4 - 3\/4*p**2.\nAnswer: -3*(p + 3)*(p + 249)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -99, 20 in descending order.\nAnswer: 20, 2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68139 + -33926.\nAnswer: -102065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/9 + 2)*243. What is the highest common factor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2)\/sqrt(9) - (sqrt(1900)*-1 - sqrt(19))**2.\nAnswer: -2299 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 0.09.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2 - 61*p - 586. Give n(-8).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**6\/105 + 216*u**5\/35 + 15695*u**4\/14 + 92450*u**3\/21 - 11200*u. Determine l, given that a(l) = 0.\nAnswer: -215, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 1:20 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*w + 44. Let m = 18 - w. Does 6 divide (7\/3)\/(m + (-26)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -233 and -87729 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1009188 millilitres?\nAnswer: 0.0001009188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1398556, 5594186, 12586886, 22376656, 34963496, 50347406, 68528386?\nAnswer: 89506436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033977806 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**5\/60 + 5*n**4\/6 + 7*n**3\/2 + 6*n**2. Is i(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -796*u**3 + 3*u**2 - 18*u - 20. Calculate the remainder when a(-1) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 819*t**2 + 411*t**2 + 409*t**2 - 25*t**3 to q*t**2 + h*t + l + r*t**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1656509 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -17*g**2 + 3*g + 5. Let y(b) = 2*b**2 + 48*b + 171. Let r be y(-4). Let o(v) = -6*v**2 + v + 2. Give r*o(i) - 4*c(i).\nAnswer: 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -3\/2*k**2 + 1\/4*k**4 - 10*k - 7\/3*k**3 - 1. Is b(8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -73. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 75*b**3 + 28*b**2 + 17*b + 13. Let g(j) = 37*j**3 + 13*j**2 + 8*j + 6. Determine 13*g(h) - 6*z(h).\nAnswer: 31*h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -203*g**3 + 114*g**3 + 151*g**3 + (-9 + 6 - 5)*(-2*g**3 + 0*g**3 + 3*g**3).\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69.5796 and -7.\nAnswer: -487.0572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejujojuj. What is prob of sequence uo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012989222213 to four dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 8*w + 10. Let r be a(-7). Suppose 21 = 4*q + 1. Let x be ((-2)\/2)\/(0 + -1). Solve x + q = r*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1584 and 2288?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 + 589186*r**2 - 43387509310*r - 737757942850 = 0. What is r?\nAnswer: -17, 147305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*x - x + 12, 4*s + 27 = -5*x. Let m(k) = -k**2 - 8*k + 12. Let n be m(-9). Let q = -2 - -2. Sort q, s, n in descending order.\nAnswer: n, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -29. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 2*k - 7*k in the form y*k + a and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 + 5*k + 4. Let r be p(-1). Suppose -r*s - 3 = 2*n, 0*s = 4*s - n + 15. Put s, -17, -2 in increasing order.\nAnswer: -17, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.253 and -1.\nAnswer: 0.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4311385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19232724 by 1373766.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let a be (m + 0)*0\/9. Put 3, a, -1 in increasing order.\nAnswer: -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1511*g**3 + 502*g**3 - 934*g**3.\nAnswer: -1943*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*w = -3928*w + 47913 - 17202 + 20765 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42024300 - -2?\nAnswer: 42024302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j - 12*j - 2088 = 234*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1830 - -1830. Solve y = -6*s + 1 - 31 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(48)\/sqrt(144)) + (sqrt(5) - (sqrt(5) + 4*sqrt(180)) - sqrt(5) - sqrt(5)) + 4 + sqrt(5) + 0.\nAnswer: -19*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 44732800.\nAnswer: -1\/22366400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 128 (b) -1\/6 (c) 2\/5 (d) -0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3 + (sqrt(17) - (sqrt(17) + 3)))**2 - ((-2*sqrt(85))\/sqrt(5))**2).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4743*l - 9473. Calculate q(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 29*c - 11. Let a be f(10). Let h = -168 + 358. Let x = a - h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 2*u - 10, 4 = -3*u - 5*y + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -567, -3, 2, -19, -2, 3.\nAnswer: -567, -19, -3, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 299619041 to the power of 1\/2, to the nearest integer?\nAnswer: 17310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -38, -2, 3 in descending order.\nAnswer: 5, 3, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/5, 30, 287\/12, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -440 and 2.\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + k**2 + 2*k - 1. Let o(f) = f. Let z(j) = n(j) - o(j). Factor z(l).\nAnswer: -(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40722)\/55 + (-9)\/15. Let o = 1082 + a. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 278*p**2 + 563*p**2 - 285*p**2 - 39*p**3 - 99*p**3 + 27*p**3.\nAnswer: -111*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6490*k**2 + 42*k**2 + 745*k**2.\nAnswer: -5703*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 23 - 30 + 154*v**2 to d*v**2 + f + n*v and give d.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18483030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 11. Let a(t) = -2*t - 5. Let p be a(-5). Let g(f) = -2*f**2 + 13. Let b(s) = -s**2 + 6. Let v(o) = p*b(o) - 2*g(o). Give v(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - 8938*n + 60879712\/3.\nAnswer: 2*(n - 10511)*(n - 2896)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 - 25 - 36 - 15*s in the form v*s + j and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Let u = 682.9 + -687. Let h = u + g. What is the closest to -1\/3 in 2, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1971 divided by 13\nAnswer: 1971\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Suppose g*v - 1 = -4*v + 5*p, -2*p = v + 3. Let i = -16.55 + 16.95. What is the third biggest value in i, -1\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 54 - 1) + (-471 - -433) + 41?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20102122 (base 3) in base 13?\nAnswer: -2198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 2*x + 4*v + 4, 0 = -5*v + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 5*m**2 + m + 5. Let t be o(4). Suppose 6 - 15 = w. Let r = w - t. Sort r, -3, 4 in decreasing order.\nAnswer: 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5354 + 5354. Solve f = 6*k + 226 - 220 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-9)*(-66)\/5. What is the second derivative of -22*v - j*v**5 + 405*v**4 - 405*v**4 wrt v?\nAnswer: -880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + 172. Let x = 149 - -242. Let g = x - m. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 5\/(5\/(-316)). Let r = f - 263. What is the remainder when r is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28\/9? (a) -0.3 (b) 0.3 (c) 0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 5:10 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20212113792 - -20212114351.09994778. Let v = 559.1 - f. Round v to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g**5 - 29\/6*g**3 + 0*g + 16*g**2 + 0*g**4 + 0 + 5\/24*g**6. What is the derivative of d(j) wrt j?\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 42 + (7 - 29).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11268, -10167, -9090, -8049, -7056, -6123, -5262?\n\"Answer: -2*d**3 + 1115*d - 12381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21332 (base 4) to base 16\nAnswer: -27e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -141, -134, -123, -108, -89?\n\"Answer: 2*o**2 + o - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**3 + c**2 + 4. Let t(d) = 17*d**3 - 5*d**2 - 17. Let p = 45 + -47. Let y be (p\/(-7))\/(4\/28). Calculate y*t(u) + 9*f(u).\nAnswer: -2*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7558182 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w - 900 = 0. Let k = -62 - w. Let h be (-2)\/(-2) - 289\/k. Is h equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*5\/(-25))\/((-9)\/(-45))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 498604030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1\/4 (b) 1\/2 (c) -1.7 (d) 1\/3 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2\/9 (c) 6.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*f**3*q**2 + 3*f**2*q**2 - 5*f**2*q - 133411*f*q**2 wrt f.\nAnswer: -192*f*q**2 + 6*q**2 - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.1. Let f = -298 + -373. Let t = f - -668. Put t, u, 13\/2 in decreasing order.\nAnswer: 13\/2, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Suppose l*f + 2 = 12. Solve -f*y - 4*w + 2*w - 5 = 0, 15 = 3*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2. Let z(a) = 4236*a**2 + a - 51. Give z(d(p)).\nAnswer: 105900*p**4 - 5*p**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t + 2. Let v(w) = w**2 - w - 2. Let k be v(t). Suppose k = 3*j - 33 - 9. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n. Let o(b) = 4*b**2. Let c(p) = 8*p**2. Let s(a) = 4*c(a) - 9*o(a). What is m(s(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*l - 1667, -5*l + 66*s = 61*s - 1675. Solve 0 = l*i - 330*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - ((0 - 0) + 1). Let c be 3\/(((-30)\/d)\/5). Suppose 4*m - 8 = 4*l, 0 = -2*m - l + 2*l + c. Let y(q) = q + 1. Determine y(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 1, i: 2, d: 3}. Give prob of picking 3 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q - 3. Let v(n) be the third derivative of n**4\/6 - n**3\/6 - 11*n**2. Calculate 2*a(f) - 5*v(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -20*l**2 + l - 6. Let u(v) = 21*v**2 - 3*v + 4. Calculate 4*t(d) + 6*u(d).\nAnswer: 46*d**2 - 14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130280 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4052, -16635, -37756, -67421, -105636?\n\"Answer: -i**3 - 4263*i**2 + 213*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(7\/4))*m*m**(1\/11) assuming m is positive.\nAnswer: m**(-29\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + 0 + (-7 - -10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - a. Let d be 4\/(180\/(-27)) + (-4)\/10. Let s(x) = 2*x - 4*x**3 + 2*x**3 + 3*x**2 + 3*x**3. Calculate d*s(j) - r(j).\nAnswer: -j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 5*q - 49*q.\nAnswer: -50*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 6*n + 6. Let v(z) = -3*z**2 - 17*z + 17. Suppose -3*j + 10 = -32. Let d = j - 8. Calculate d*v(p) - 17*g(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = -162*z + 166*z + 3*w, 0 = 3*z + 5*w - 201. What is the remainder when 178 is divided by z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/((-230720)\/309))\/(1\/(-7))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.4*907.\nAnswer: 6711.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 27*x. Let m(b) = -40*b + 6. What is m(f(u))?\nAnswer: -160*u**2 + 1080*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g - 44*g + 6*g + 6*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 438145 and 2?\nAnswer: 438143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 1:40 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -29 - 23 - 3*k + 7*k. Let l be i(13). Solve -5*u = 5, -4*c - 15 = 3*u - l*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-9))\/(2 - 6). Let o = 47 + -32. Let x be (-10)\/(-8)*3\/o. Put c, x, 1 in decreasing order.\nAnswer: 1, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17442 (base 11) to base 12\nAnswer: -12208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40561706 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - 3655839?\nAnswer: -3655827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 6.\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u - 5, -4*j = -u - 19. Suppose p - j = -c + 6, -p + 60 = 5*c. Calculate the highest common divisor of c and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4427684 is divided by 130220.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*9\/162*(-21)\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*f**3 + 27*f**2 - 6*f.\nAnswer: 3*f*(f + 1)*(11*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 415*u + 392*u - 1005*u - 7 as t + v*u and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 389*a - 2198. Calculate the remainder when n(9) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yieiiyyyeiyieiueiie. What is prob of picking 2 y?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(15))\/(sqrt(72)\/sqrt(6))*-3.\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256130 is divided by 2783?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 9:26 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 498 = -490. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 + -118. Which is the third biggest value? (a) l (b) -8.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(189)*-1)\/(sqrt(189)\/sqrt(7))*-6 + 2.\nAnswer: -8*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3, 1.7, 121, -2\/9, 2\/7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5965 = 331*o - 1000 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -78*z - 3. What is the tens digit of v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*h**3 - 21 + 66*h**3 - 8 + 45*h**3 - 3 as z + s*h + m*h**2 + p*h**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561769762?\nAnswer: 2, 7559, 37159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 8\/5 in descending order.\nAnswer: 6, 5, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 171.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -130 and -131 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -5 (c) -3 (d) -39 (e) 96 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + 6 + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1807.759 rounded to 0 dps?\nAnswer: -1808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10*v = 22. Which is the second smallest value? (a) v (b) 11\/2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67e (base 16) to base 15\nAnswer: -75c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = 86*z - 952 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 3:42 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8500 = 2*w, 2*h + 2*w + 6590 = -10410. Round h to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 times 30076.2\nAnswer: 962438.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 64 = 126 - 140, 6*c - 196 = 4*c + 4*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -3 (c) 4 (d) 21 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w - 36. Let l be a(6). Suppose l = -2*p + 21 + 51. Calculate the least common multiple of 12 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 1\/7, -4, 2, -0.42, 166?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 + -92. Let u = z - -16. Does 29 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-118 - -137) + 0 + 1 + 7\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1715, -64, -5, 2 in descending order.\nAnswer: 4, 2, -5, -64, -1715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 22. Let z be v(-7). Let c = 24 - z. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 60?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z, -5*l - 4*z + 5*z = 0. Let r = 2930 - 128923\/44. Is l < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, 62, 170, 310, 476, 662, 862?\n\"Answer: -l**3 + 25*l**2 + 2*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9183958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3 - 1 + 31*w - w**2 - 38*w. List the prime factors of i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(2343\/(-330) - (0 - 7)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**5\/20 + 5*y**4\/12 + y**3\/2 + 3*y**2 + 26*y. Determine p(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 2 - 7*o + 4 + 1. Let d be s(-6). Let u = 85 - 66. Calculate the highest common divisor of d and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.4, 6, -5, -24, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/33 + 1821\/(-9). Let m = 176 + y. Are m and -24 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100100010010 + 101011111?\nAnswer: 11101001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1377 and -0.048.\nAnswer: 66.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38806682, 38806686, 38806692, 38806700?\nAnswer: 38806710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5, f: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*z - 21 = 0, 18*x - 28 = 14*x + 5*z. Suppose -w + 4 = -0*w + y, -4*w + 22 = 2*y. Is x at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760074?\nAnswer: 2, 3, 7, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 6*f**2 + 5*f + 10. Let m be d(7). What is the tens digit of (-2)\/m - 1209\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a micrometer in nanometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 11 = -3*s, -w - 2 = 2*s - 0. Let r(y) = -y + 12. Let z be r(0). What is the greatest common factor of z and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 + 533. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16*(2 - 45\/20). Suppose -116 = -b*p + 172. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 10 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxexeeexexexe. Give prob of picking 4 x.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 7*g**2\/2 + 11*g + 1963. Suppose 5 = -p - 3. Let b(d) = -2*d - 4. Calculate p*b(a) - 3*o(a).\nAnswer: -5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1256475 divided by 4569\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-12) - 8\/36)\/(-2). Let z be (-3)\/(-5) + (-48)\/105. Which is the third smallest value? (a) 0.4 (b) m (c) z (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) -1\/7 (b) 0.1 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*d - 5*j + 2, 5*d - 3*j + 25 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*t - 0*d + 4*d, -3*d = 0. Suppose 2*u = -6, t*q = 6*q + 4*u - 312. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**5 - 12*z**4 + 28*z**3 + 44*z**2 - 24*z - 32 = 0. What is z?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:50 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21 = 4. Find the third derivative of -28*r**u + 36*r**5 + 2*r**3 + 2*r**2 - 25*r**5 - 14 wrt r.\nAnswer: -1020*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243 + -195. Calculate the least common multiple of 80 and f.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Suppose -w + a = -1. Let g(u) = 0*u + 5*u**2 - 5*u + 0*u + u**3. Let o(s) = s**2 - s. Calculate w*o(i) - g(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -207 - -622\/3. Let x = -2642\/7 + 378. Let d = 11 - 6. What is the closest to a in d, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16295 - 4*d**2 + 2*d**5 - 164*d**4 - 8140 - 8153 + 4*d**5 + 3*d**5 - 6*d**5 + (-2*d**5 + 5*d**5 - 2*d**5)*(1 + 3 - 2).\nAnswer: 5*d**5 - 164*d**4 - 4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/7 and 4\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19 + 9\/(5 - 2). Let u be (-230)\/(-55) - 4\/b. What is the highest common factor of 20 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9)*-2*-6)*-1 - (4 + (sqrt(1377) - (sqrt(1377) + 0 + sqrt(1377))*4)))**2.\nAnswer: -1510*sqrt(17)\/3 + 9692729\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (13\/234)\/((8\/(-66))\/((-62)\/3069*27))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3544996525 to the power of 1\/3, to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 770 - 770. Let l(y) = -y. Let x = 1 + -5. Let b be l(x). Solve -20 = -h*u + b*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53462, -106910, -160310, -213662, -266966, -320222?\nAnswer: -373430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(-b + 0*b - 2*b)*(-4 + 4 - 1).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 17383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99999.54 micrometers to meters.\nAnswer: 0.09999954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/119*4\/(-2)*378\/(-2160).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2940401006 to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2040 - h - 1013 - 1015. Give f(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k - 357 = -5*f, k + 3 = 0. Calculate the remainder when f is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*g**4 - g**2 - 2*g + 87*g**4 + g**3 - 29*g**4 - 27*g**4 - 2 as u*g**3 + c + r*g**4 + z*g**2 + v*g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1310, -1755, -2200, -2645, -3090?\n\"Answer: -445*z - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9919, -9915, -9911, -9907, -9903, -9899?\nAnswer: -9895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**7\/1050 + a**6\/600 - 3*a**2 - 2*a. Let y(x) be the first derivative of q(x). Suppose y(v) = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 519708938 and 15736?\nAnswer: 3934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**4*q + 10*g**4 + 24*q wrt g?\nAnswer: -4*g**3*q + 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19446310 to the nearest integer?\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 + 114. Put -1\/2, 0.5, b, -13 in descending order.\nAnswer: 0.5, -1\/2, b, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 32, 0, -5 in descending order.\nAnswer: 32, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 3, 4*y - 2*y + 4*r + 90 - 69 = -141 for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 31. Let a(o) = o + 32. Calculate 3*a(n) - 2*r(n).\nAnswer: -n + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15599\/2 or -7799?\nAnswer: -15599\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**5 - c**4 + c**2 + c + 1. Let u(p) = -6*p**5 + 41*p**4 + 4*p**2 + 6*p - 1. Let d(i) = -4*s(i) + u(i). Find the second derivative of d(k) wrt k.\nAnswer: -40*k**3 + 540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30658.98 - 30659. Which is the closest to -1? (a) o (b) 1\/8 (c) -2\/5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = 5. Suppose 0*o + o = s + 20, 3*s + 88 = -4*o. Let c = 15 + s. Sort c, v, 0 in descending order.\nAnswer: 0, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 394, 382, 366, 346, 322?\n\"Answer: -2*x**2 - 6*x + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8186, 16340, 24490, 32636?\n\"Answer: -2*k**2 + 8160*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/(-12) - 3\/12. Let b be (-18)\/h*(-1)\/3. Suppose g + g - b = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 - 2*y - 2. Suppose 3*n + 2*j = -4, -n - j + 2 = 4. Suppose 0 = 2*t + 4*s - 2 - 0, s + 1 = n. Let a be b(t). Solve d + a = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8177.81*555.\nAnswer: 4538684.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -0.306 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 458993978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 144, -4\/7, -1\/3, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 814386 and 522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3642920844 and 10887.\nAnswer: 10887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 + 36*y + 7. Let j(i) = -5*i**2 - 53*i - 10. Let u(z) = 14*f(z) + 9*j(z). Give u(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*u**4 + 55 - 2*u + 12*u**4 - 57*u**4 - 159 wrt u?\nAnswer: -328*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - w - 56 = w, 188*w - 190*w - 60 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k, -3*k - 12 - 3 = -5*j. Let v = -0.3 - -0.2. Let x = -0.3 - v. Sort x, j, 0.1.\nAnswer: x, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 - (12 + (-33 - -17))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32728 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzlk when four letters picked without replacement from kkzmfzgzlkmz?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3436220.\nAnswer: 2, 5, 171811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence babh when four letters picked without replacement from {v: 5, b: 2, a: 1, h: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2312577 and 0.2.\nAnswer: 462515.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1014406*u + 354 + 1014397*u - 104)*(0*u**2 + 2*u**2 + u**2) in the form a*u**2 + v + s*u + p*u**3 and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -577 + -127?\nAnswer: -6a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4 = -16. Suppose -4*v + 1 = u*c, -c = -0*v - 3*v - 22. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14927638 a multiple of 1129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 1\/6, 76003 in descending order.\nAnswer: 76003, 1\/6, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -322142 (base 6) in base 5?\nAnswer: -1321124","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 2918 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2320 - 2331. Which is the second smallest value? (a) f (b) -0.09 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from tmt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 3. Let x be f(-6). Let h(p) be the third derivative of p**4\/24 + p**3\/2 + 17941*p**2. Give h(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72077281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46\/5 of a meter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54179 divided by 3187\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35595033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 5. Let l be 18\/(-10)*(49\/(-21) - 1). Suppose 0 = l*x + 68 - 38. Give v(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(-3\/17)\/(s*s**(-1\/3))**(-6\/19))**(-17) assuming s is positive.\nAnswer: s**(-125\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 0.2. Let t = -1.3 + v. Let o = 6 - 5. Sort t, o, -0.5 in decreasing order.\nAnswer: o, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 65\/(-325) - (-794)\/(-5). Let k = h - -269. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(2 + -3 - 1). Suppose 0*i - 3*i = w. Solve 0 = -i*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39880922*z - 119211859 wrt z?\nAnswer: -39880922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + 0.8. Suppose d - 2 = -5*l, -3*d - 5 = -5*l - 11. Let u = -32.7 - -33. Which is the nearest to n? (a) u (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -1962, -2 in descending order.\nAnswer: 86, -2, -1962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*v + 309*v - 2*w - 10 = 0, 4*v = -4*w - 8 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1662, -1661, -1660, -1659?\nAnswer: -1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d9 (base 16) in base 4?\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 + 24*f + 6. Let x be b(8). Solve 2*q - 5*q + x = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 10:45 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1, -2\/3, -94, 1\/205?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137 - -52.4. Let c = p + 92. Let k = c - 7.400087. What is k rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -487 - -11?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(sqrt(480)*-1)\/sqrt(10))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336 is divided by 1241.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1032 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.17041 rounded to two decimal places?\nAnswer: 14.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -748 + 748 + 20*v + 3*v - 5*v + v + (-2*v + v + 2*v)*(2 + 1 - 1) as r + n*v and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4971.6 and 39.5.\nAnswer: -4932.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(1\/2))*p**(-3\/7))\/(p**(-13)*p)**(-4\/7))**(-16) assuming p is positive.\nAnswer: p**(760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 2*k**3 + 9*k**3)*(-2*k + 2 + 1248*k**2 - 1548*k**2 - 1).\nAnswer: -1500*k**5 - 10*k**4 + 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6476, -12936, -19394, -25850?\n\"Answer: y**2 - 6463*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -129, -132, -135, -138?\n\"Answer: -3*b - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12560, -11808, -10562, -8828, -6612, -3920, -758?\nAnswer: 2868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.975 + 9. Let z = s - 5.025. Let t be 7 + -3 + (-22)\/4. Which is the fourth biggest value? (a) t (b) z (c) -1\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 28*z. Let p(n) = -n**2. Give p(o(m)).\nAnswer: -16*m**4 - 224*m**3 - 784*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -873*q + 5298. Calculate the remainder when t(6) is divided by (-1)\/(1\/(-2 - 11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15347*m**3*s**3 - 3877*m**3*s - 305149*m**2*s**2 - m*s - 159*s**3 wrt m.\nAnswer: 92082*s**3 - 23262*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -261, -264, -269, -276?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27691.408 rounded to the nearest 10?\nAnswer: 27690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865389636?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.566591757 - 1.5666. Round x to 7 dps.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 417228 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2134862*d - 6. Let z be a(-2). Suppose 30310282 = 7*q - z. Round q to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 46. Let v = 24 + -18. Let j(y) = -4*y + 36. Let o be j(v). Let u be q(o). Solve 2 = -w - 2*d, -3*w - 2*d - 8 - u = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**3 + a**2 + a + 1. Let z be u(-1). Suppose 2*f = -4 + z. Let s = 88 + -84. Solve f = c - 2*c, -c + 2 = s*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -p, -7*p = 2*s - 9*p. Solve -4 = 2*u - 2*v + 2, s = 3*u - 2*v + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, c: 7}. Give prob of sequence ffcc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by (3 - 24\/9)*111.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 44. Let u be a(-13). Sort u, 2, 0, -3 in decreasing order.\nAnswer: u, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 562\/31 - 23678\/1395. Find the common denominator of 23\/30 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1171\/3 - 393. What is the closest to 0 in 4, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/217*59 - 8.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4928.506 to the nearest integer.\nAnswer: -4929","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(5) + (sqrt(40)\/sqrt(8) - sqrt(5))) - 4*sqrt(120))\/(((sqrt(90) + (sqrt(90) - sqrt(90)*-2))*-5)\/((sqrt(72)*2)\/sqrt(8))).\nAnswer: 7*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/15, -145.3, 14, 8\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 407091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-456)\/(-28) - 2\/7. Suppose -q = -4*p + 3*f, -3*f + 16 = f. Suppose 3*x + 5*k = -9, 5*x - k + 9 = -6. Put -2, x, p in descending order.\nAnswer: p, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 115405013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21 + (-3)\/3)\/(-1). Suppose -t + x = -32. What is the highest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1238527*n**3 - 3343044*n?\nAnswer: 7431162*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251596 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 52. Suppose -2*t + 113 = 5*o, 4*o + o - 4*t - 119 = 0. What is the remainder when 67*(4 + 3*(-1)\/q) is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2970*u + 566 - 286 - 280 + 3430*u to the form o*u + w and give o.\nAnswer: 6400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2. Let o = p - 0. Suppose 0*c + o*c = 4*f - 2524, -3*f + c = -1893. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 47) + 27 - -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 152765.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - -0.4. Let j = -0.1 - n. Let g = -1.3 - -0.3. Which is the second smallest value? (a) g (b) 4\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101 and 57?\nAnswer: 5757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13*i - 9. Let b(l) = 4*l - 3. Let r(a) = -7*b(a) + 2*k(a). Let o = 0 + -3. Let g be r(o). Which is bigger: 8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 197*n**2 + 2186*n + 97. What is y(-11)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 2. Solve 3*y = -5 - t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 635802 - 547*s**3 - 635802 + (0 + 5 - 4)*(-4*s**3 + s**3 + s**3).\nAnswer: -549*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -9. Let k = -4.9 + l. Sort k, -4, 3 in increasing order.\nAnswer: -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*g**3 - 738*g**2 + 4488*g + 7488 = 0.\nAnswer: -6, -104\/71, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029644 plus 11?\nAnswer: 11.029644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*q + 30, 2*q = 5*a - 2*q - 52. Let h = a - 5. Solve 2*g - 3*g = -h*f - 4, -5*f = -5*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 2*a**3 - 12*a**3 - 38*a**3 + 3 + 3*a**2. Is g(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.2, 31, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -82*r - 1886. Let y be w(-23). Sort 3\/5, 4, 3\/4, -1, y in decreasing order.\nAnswer: 4, 3\/4, 3\/5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 11*a**2 + 14*a + 9. Let w be h(-9). Suppose -5*s - w + 0 = 0. Is 17 a factor of (153\/12)\/(s\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*(5 + -2 - 4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*w = -2*w - 3, -32 = 4*u + 2*w. Let r(s) = -5 + 9*s - 7*s - 19*s**3 + 18*s**3 - 7*s**2. Calculate r(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 5*f**2 - 53*f + 53*f. Let v(u) = -16*u. Determine v(d(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 43829919.\nAnswer: 5\/43829919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*s**2*v**3 - 7033*s**2*v**2 - 2*s*v**2 + 981*v**4 + v**2 wrt v?\nAnswer: -48*s**2 + 23544*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.05 + 0.05. Let d = -1 + 3. What is the third smallest value in p, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237*y**5 - y - 4?\nAnswer: 4740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*j - 10, 0 = 4*p + 5*j - 148. Let d be (-52 + 0)*4\/(p\/(-22)). Which is smaller: 142 or d?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.148736741 to five dps.\nAnswer: -0.14874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -2.1. Let g = -0.4374 + 214.4374. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 30*j + 1146. Let n be o(52). What is the fifth biggest value in -0.6, 6, -0.2, n, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6260 + -64.\nAnswer: -6324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/18 and 31\/210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2135\/3355)\/(4\/(-22))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 682084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -154.\nAnswer: -15\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**4\/12 + p**2. Let j be (8\/6)\/((-28)\/(-42)). Let t(i) = 223 - 223 + i**j. Calculate t(o(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:45 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 + 1451*x - 810*x + 969*x + 4*x**3.\nAnswer: -x**3 + 1610*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 n when three letters picked without replacement from {j: 2, d: 13, n: 5}.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 - 46*f\/11 + 240\/11.\nAnswer: 2*(f - 15)*(f - 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 y when four letters picked without replacement from {t: 3, y: 10, d: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*11235\/140)\/((-81)\/54).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3909*z**4 - 54837*z**3 - 504942729*z wrt z.\nAnswer: -46908*z**2 - 329022*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28827376 divided by -68?\nAnswer: -423932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53\/150 + -1\/50. Suppose -4*q - 4*n - 1556 + 1356 = 0, 243 = -5*q - 4*n. Sort q, 1, t, 0.4.\nAnswer: q, t, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2015 - -6046\/3. What is the closest to 6\/11 in -0.4, 0.8, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 6358.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - k - 24 = 0, 0*k + 5*k + 1 = -2*o. Calculate the remainder when 55\/2 + (-3)\/2 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/6 + 95*m**2\/2 + 143*m + 4. Let z(o) = o**2. Give z(c(y)).\nAnswer: y**2 + 190*y + 9025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -53*h**2 - 2125*h + 1970. Determine l(-41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10759625?\nAnswer: 5, 86077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002588 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 1414*w + 2. Let l be n(1). Let d = l - -383. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -86*o. Let y(n) = 8*n**2 + 309*n. Calculate g(y(l)).\nAnswer: -688*l**2 - 26574*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7874217 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) -1\/2 (c) -0.8 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -132 + 230 + -39 + (-7 - 2).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 15186137.\nAnswer: 4\/15186137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -1 (c) -3180 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 17*h - 27. Calculate the lowest common multiple of a(-15) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60607 divided by -6.\nAnswer: 60607\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -801808, -801810, -801812, -801814, -801816, -801818?\n\"Answer: -2*q - 801806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 954542070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) 1\/4 (c) -1 (d) -2\/5 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374723386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 59*l**2 + 116*l + 536. Calculate h(27).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-5 - -7) + (0 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427635052.\nAnswer: 2, 13, 19, 239, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 - 119. Let h(x) = x - 3. Determine h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-5)*((-4)\/10 + 4680\/450). Solve v*q - 56 = -80 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, 201, 718, 1403, 2244?\nAnswer: 3229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 559169 less than 559245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65604316 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6\/5))**(-14\/9) assuming w is positive.\nAnswer: w**(14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 = 7. Suppose -k - 2*k - f*c + 12 = 0, 2*c = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 32*f - 131. Is 6 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -16213730.2349.\nAnswer: -16213733.2349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**5 - 6*c**4 + 218705*c**2 - 264036168*c?\nAnswer: 80*c**3 - 72*c**2 + 437410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1836\/1012883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 188275 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 800 and 560240.\nAnswer: 5602400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12850.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkgx when four letters picked without replacement from xkkktgxgmkxk.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153 + 446. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890.486 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((0 + (3*sqrt(448) - sqrt(448)) + sqrt(448))*-5 - (-3 + -3*sqrt(567) + ((sqrt(35) + sqrt(35)*-2)\/sqrt(5) - sqrt(7)))))**2.\nAnswer: 182*sqrt(7) + 57968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320857.\nAnswer: 499, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.7, 5\/2 in decreasing order.\nAnswer: 5\/2, 0.7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v. Let c(g) be the second derivative of -5*g + 1\/6*g**3 + 0*g**2 + 0. What is c(a(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndqn when four letters picked without replacement from {u: 3, d: 1, q: 4, v: 3, p: 1, n: 3}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -69996 divided by -69996\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.37 + 14.63. Let o = 26 - m. Let r = 11.0000011 - o. Round r to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2183699062.200911 + 2754.799089. Let s = v - 2183701799.00000009. Let a = s + -18. What is a rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4930 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 825 and 59550.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3982 (c) 0.25 (d) -0.027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -9*f + 15. Let b be ((-4 + 1)\/f)\/((-10)\/10). Let m(v) = -2*v. Suppose 4 = 2*k + 2*k. Let t(c) = -c. Give b*m(y) + k*t(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 38 + 17 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n - 7. What is p(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 12 - -1 - (4 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 552 - 179. What is the highest common factor of u and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 24*r**2 - 3*r**2 to the form w*r + s*r**2 + x and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1726 - -1866. What is the greatest common factor of a and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148 - -146.3. Let d = -0.68 + q. What is d rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m. Let l(z) = z + 1. Let d(o) = 9*o + 6. Let x(g) = -d(g) + 6*l(g). Suppose 2*r + 2 = 3*r. Give r*w(t) - 5*x(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8886*a - w = -8889*a + 20, 3*a = -60*w - 285 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2552961239 - 613.\nAnswer: -613.2552961239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:27 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 188, 205, 222, 239?\n\"Answer: 17*o + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*w - 39*w + 50. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.7389 and 4?\nAnswer: -22.9556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 3660205\nAnswer: -7320410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -79) + (-33 - (7 - 16)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2) - 50\/56. Let c = -29347\/28 + 1048. Let t = v - c. Do t and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 8. Let l = 1.5 - i. Let d = 0.2 - 0.1. Which is the third smallest value? (a) d (b) l (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*y = -1133 - 539 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*6\/(-38). Suppose 0 = 3*q - 5*c + 10, 3*c + 4 = 10. Let t = 0.228 + -0.528. What is the closest to q in 2, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63288596 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, i: 3, o: 1, e: 2, h: 11}. Give prob of sequence oeh.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -4. Let j be (3\/(-20))\/(110\/372). Let p = 2\/275 + j. What is the smallest value in p, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i = 1 + 23 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17565 times 0.3\nAnswer: 5269.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.37, 658?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y - 15. Let a be g(-10). Let q = a - 30. Suppose -1443 = 2*m - q*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**3\/7 - 69*u**2\/7 - 117*u - 2607. Let l(a) = 0. What is a?\nAnswer: -39, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2, -2*a = a - 5*c + 86. Let u be 6*6\/a - 88\/(-12). What is the hundreds digit of ((-700)\/u)\/((-7)\/(147\/14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-64 + 19 - -35) - (0 + (-1 - -65)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*t - 116*t - 107406. List the prime factors of t.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 - 12*v.\nAnswer: v*(v - 6)*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(76)*5 + sqrt(76) + (sqrt(76) - (sqrt(76) - (sqrt(76) + (sqrt(76) - 1*sqrt(76))))*2))*-4)\/((sqrt(324) - -1*sqrt(324)*-4)\/sqrt(9)).\nAnswer: -32*sqrt(19)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z - 3*b = 15, -2*b - 10 = 3*z. Suppose 0 = 3*x - 3, -x = -2*u - 3*u + 19. Let n be 0\/(u\/(-2)) + z. Which is smaller: n or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23892 * 0.03.\nAnswer: 716.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1147\/(-868) - (-9)\/12. What is the third biggest value in 1\/2, z, 10\/61?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in 5, -10, 1046.7, 1\/2, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 5760450.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by (-2 - -3)\/(((-5)\/(-5))\/25).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.15. Let t = -0.35 + h. What is the third smallest value in 4, 0.2, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-4\/13)\/w))\/w**(9\/4))\/((w*w**(-14)\/w)\/(w*w**(1\/4))))**(-7\/3) assuming w is positive.\nAnswer: w**(-1393\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 257009461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 115 divided by 5\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1286, -4217, -8828, -15149, -23210, -33041, -44672?\n\"Answer: -5*m**3 - 810*m**2 - 466*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/69 and -49\/14214?\nAnswer: 14214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 < 13\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 4*o - 5. Let m be v(5). Suppose w = -m*w + 5. Calculate the least common multiple of 9 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.11 + -0.11. Let m = -1.7 - -2. Which is the closest to u? (a) -1 (b) m (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -55 (c) -0.472 (d) 5 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 + 345. Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 178 = -0*w - 4*c, -2*w = -3*c - 341. Suppose 0 = -4*k + w - 54. Solve -n + 4*m + 17 = 0, 0*n - 5*m - k = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 48.7. Let t = 65 - 60. What is the third biggest value in 1\/13, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236932 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*m**3*r**4 + 2*m**3*r - 29*m**3 + 3*m**2*r - 7*m*r + 9278*r**2 + 507*r wrt r.\nAnswer: -1572*m**3*r**2 + 18556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 2. Let f(b) = 2*b**2 - 3. Let h = 16 + -18. Let j be (4\/h - 1)*-1. Suppose 0 = q + c + 9, -2*q - j*c = 10 + 12. Give q*m(s) + 4*f(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 553 - 511. Is 34 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and 0.02.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**3\/3 - u. Let y(p) = -9*p - 11. Let b(k) = -5*k - 6. Let l = -12 + 6. Let r(j) = l*y(j) + 11*b(j). Calculate g(r(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222481.\nAnswer: 7, 37, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 4*b**4\/3 + 16*b**2. Let z(y) = -y. Determine s(z(a)).\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 26*y**2 + 31*y - 102. Let p be b(27). Let a be -1 + -2 - (4 + -1 - 3). Sort p, a, -9 in descending order.\nAnswer: p, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzx when three letters picked without replacement from {z: 4, x: 2, r: 4, k: 3, u: 1, h: 3}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -4 (b) -2\/15 (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2\/5 - 1659*s - 8298\/5 = 0. Calculate s.\nAnswer: -1, 2766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 + 101. Find the common denominator of (-2190)\/50*(-2)\/12 and 2\/(-4) + j\/(-112).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.64 - -60. Let w = l - -54.64. Let f = 56.000023 - w. What is f rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -659 + 1240. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b + 10193 = 5*k, 0 = 5*b - k + 12715. Let p = -25391\/10 - b. Let m = -5530 + 88551\/16. What is the common denominator of p and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -166362, 5, -50 in descending order.\nAnswer: 5, -10, -50, -166362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 - 16 + 16)*(59*c + 55*c - 66*c)*(c**2 + 2 - 2).\nAnswer: -240*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264, -1412, -2570, -3738, -4916?\nAnswer: -6104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -27.006. Round w to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 34 - (-3 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 9*z - 21. Determine h(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 516 and 1392?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 18 + 4)*(2*j**2 + 3*j**2 - 6*j**2)*(-7*j - 18*j - 8*j) to the form y*j + b*j**3 + u*j**2 + x and give b.\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4620000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*u**5 - 107*u**3 + 37*u + 47 wrt u?\nAnswer: 400*u**3 - 642*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7479302437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-4) + 15 + -18)*0. Suppose i = -g + 80 - 24. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 519684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6240.644 weeks?\nAnswer: 3774341491200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b = 905*b + 7365 - 5219 + 12134 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 15 = -2*k - c, 40 = -4*k + 4*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 10.4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + (sqrt(264) + 1*sqrt(264) - sqrt(264) - sqrt(264)))\/sqrt(12))\/(-5*(sqrt(2) + sqrt(18))).\nAnswer: -sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnvnnnvvnnn.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367389283 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 125188346 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/14 (b) 12 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.486 - -3535.568.\nAnswer: 3536.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2574744?\nAnswer: 2, 3, 71, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2624*n**4 - 5*n**3 + 4703*n**2 - n + 7?\nAnswer: -62976*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-11 + 18 - -15) - -24.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 637*r**2 + 2*r + 3. What is the hundreds digit of c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -g. Suppose v - g = -4. Suppose 4 = -v*f + 4*f. Solve 0 = z + f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 1\/2*t**5 + 0 - 3*t**3 - 3\/2*t**4 + 0*t + 4*t**2 = 0.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9368249 + -5?\nAnswer: 9368244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7491454 is divided by 2364.\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 443786 - 443786 + 2476*u as w*u + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 53*n - 15 = 58*n, -5 = 3*d + 5*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 - 6\/(-15). Let q be (-2 - -6) + (-24)\/5. Sort u, -2, q.\nAnswer: -2, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29635*s**2 + 59144*s**2 - 29507*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 16*a - 32. Let n be z(18). Solve -3*x - n + 19 = -3*c, 3*c - 2*x + 10 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 4. What are the prime factors of m*(-1 + (-196)\/16)*-4?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (15 - (34 - 4))) + 18.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5836 - 2319*n + 11675 - 5842 as m*n + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -596 + 1158 - 602 + 6*g**2 as j + l*g + a*g**2 and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -475, 677, -0.2, 608 in decreasing order.\nAnswer: 677, 608, -0.2, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -31*u**4\/24 - 2*u**2. Let d be (-4)\/(-10) - 14\/10. Is n(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 41*s**2 - 15699*s - 1535. Calculate u(383).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 10*i. Let j be n(10). Suppose -8 = -2*z + d, 5*d + 16 = 2*z - j*z. Suppose z*w = -0*w + 1185. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/77 and 11\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 2187.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 225*p + 1066. List the prime factors of g(152).\nAnswer: 2, 7, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x*x**4*x**(-1\/5)*x**(-5))\/((x\/(x**(-1\/4)\/x)*x\/x**(-2\/21)*x)\/(x*x**(-1)\/x)**(-2\/35)) assuming x is positive.\nAnswer: x**(-629\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.9. Which is bigger: k or -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21.7 and -149.02263.\nAnswer: -170.72263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-42)*33\/22)\/3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.03 - 3.3. Let l = z - -0.27000038. Round l to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30942785, -61885583, -92828381, -123771179, -154713977, -185656775?\n\"Answer: -30942798*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5232, -10717, -16204, -21699, -27208, -32737?\n\"Answer: -c**3 + 5*c**2 - 5493*c + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {o: 19, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 2*g**2 - 3*g + 3. Let t be i(-3). Suppose 5*z + 4 = -41. What is the units digit of t\/6 + z\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/4*10\/(-6). Let j = w - -39. Solve 0 + 3\/2*o**2 + 1\/2*o + 2*o**5 - j*o**4 - 5\/2*o**3 = 0 for o.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1573)*1 + sqrt(1573) - sqrt(1573)) + -1 + sqrt(1573) + 1)*1.\nAnswer: -2 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5 + 5 = 0, -g = -4*x + 786. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-15))\/((-7938)\/245 + 33).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in 5, -1\/3, 134?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -2*m + 6. Let l(q) = -q + 3. Give 6*j(y) + 4*l(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/11247 and 59\/5.\nAnswer: 56235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 839 + -9235\/11. Let s = 6 + -6.4. Which is the second biggest value? (a) i (b) -2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 8*q**2 - 43*q - 33. Give z(12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25 - 728*a**2 + 351*a**2 + 350*a**2 wrt a?\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 612*y + 433*y + 2 to g + s*y and give s.\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 y, and 1 n when four letters picked without replacement from nvyqvvvggqvvnn.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**4\/24 + w**2. Let y be v(-3). Solve -p = 1 + y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1024*i - 6880. Calculate u(-8).\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**3 - 4*u**2 + 35*u - 124. Calculate p(4).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -1)**2*-3 + -4.\nAnswer: -736 + 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 + -193. Which is the nearest to -2\/5? (a) q (b) 2\/35 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4689*s**3 + 8*s - 40*s + 4690*s**3 - 64 to c*s**3 + v + a*s + y*s**2 and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(6050) - sqrt(6050)*2))\/((sqrt(2160) - -2*sqrt(2160))\/sqrt(6))*-6)**2.\nAnswer: 9680\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 201 - -2116?\nAnswer: 2317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 1\/3*o**3 - 1\/12*o**4 + 0 - 1\/2*o**2 + 2*o. Let t(x) = -x**2 + 7*x - 7. Let d be t(5). Give j(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -476*z**3 - z**2 - 4*z - 1. Suppose 0 = -5*j + 19 - 24. What is the hundreds digit of r(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**5 + 220*g**2*i + 3*g + 2*i - 5 wrt g.\nAnswer: -40*g**3 + 440*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -5*o + 2*t, -4*o - 4*t + 73 = -31. Suppose 18 = -h + o. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - 2) + 1 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2401.05 centimeters?\nAnswer: 24010500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.5 and -320.57.\nAnswer: 5930.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -830 by 1.\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 914.1 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2*x + 0*x - 7 + 19 - 1.\nAnswer: -2*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4\/5 - 22596*i**3\/5 + 112289532*i**2\/5 - 28867365532*i + 58846544236728\/5 = 0 for i.\nAnswer: -9162, 1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -3, -8, -15, -24?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35419261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11581.017 - 11581. What is the nearest to 0.3 in j, 2, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/((-3)\/6). Let d be (-8)\/40 - 51\/(-5). Let p(b) = b. Let j be p(2). Solve j = g*v - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 1 = -5*r, 5*r + 4761 = 3*z + 4758 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -11001?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19448?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 3*p**2 + p + 1. Let s be g(3). Suppose s*h = -4 - 36. Let l = -5 - h. Solve 4 = 3*n + 2*r - 5, -5*r + 10 = -l*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (829 - 1898 + 949)*(-1 - 2*i + 1) as f*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.4, 1, 1\/165?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11845 to the nearest one hundred.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 + 496\/(-36). Let o = s - 13. Let f be 274\/(-10) + (-12)\/(-30). Are f and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 - -120.7. Let v = -7.300252 - a. What is v rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 304*j - 110121. Calculate u(-213).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 3*i + 5*v + 28, -111 = -3*i - 3*v. Solve -11 = 9*q + i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 535 - 175. Is 30 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15 + 26*c**2 - 5*c**2 + 5 - 2 wrt c.\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {q: 2, z: 8, b: 1, v: 7}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*2*(-32)\/(-48)*(-10)\/(-170)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4\/4 + 23625401*y**3\/4 - 70876191*y**2\/2 + 70876187*y - 47250790 = 0.\nAnswer: 2, 23625395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 17 = -2*b, -c = 6*b - 4*b - 1. Put 5, c, 2, 13, 3 in ascending order.\nAnswer: 2, 3, 5, c, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10048 - -10082. Solve 0 = -5*a + 2*u + 63 - r, -2*a + 14 = -2*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 22*q**2 - 21*q + 15. Let v be f(-21). What is v rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5)*(-58)\/(-1218).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 - 72*p**4 - 312*p**3 + 224*p**2 + 1116*p + 648 = 0. Calculate p.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 6*q + 5. Let c be d(-6). Suppose -c*n - 3 + 13 = 0. Solve -5 = 7*x - n*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 - 75. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c = 12. Let m be -30*(100859\/c + 2). Suppose 3*p + 2*g = -m - 341474, -5*p + 2*g = 2249996. What is p rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*u**2 + 777*u**2 - 389*u**2 + 16.\nAnswer: u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/(-1)*1. Let x be (-8)\/(-40) - (-4)\/5. Suppose -2*b + 1 = -x. Which is greater: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(891) + -2)**2 - 2*5*sqrt(891)) + 3 + -1*(1*(sqrt(891) - sqrt(891)*4))**2.\nAnswer: -7116 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1)\/f)\/f*f*f**(4\/9)*f)\/(f**(3\/7)*f**(-3)) assuming f is positive.\nAnswer: f**(190\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238 - 236. Let g be 0 + (-2*1 - -3). Let j be -1*g*(-3 + 2). Solve v*w = j - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651*2997.51.\nAnswer: 1951379.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9724389?\nAnswer: 3, 463, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23751 and 2898.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, e: 8, h: 2, z: 1, f: 4}. What is prob of picking 2 h and 2 e?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 98 - 5?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752.226 litres in millilitres?\nAnswer: 1752226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0*((i**(4\/3)*i)\/i)\/i*((i\/(i*(i\/(i\/i**8*i))\/i))\/i)\/(((((i**4\/i*i)\/i)\/i)\/i)\/i))**(2\/77) assuming i is positive.\nAnswer: i**(-34\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 194045*c**3 - 2*c**2 - 258435 wrt c?\nAnswer: 582135*c**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1000202122?\nAnswer: -1000202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 7 = -f. Suppose 35 - f = 2*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-21) - 138\/(-322). Let y = 80158\/167 + -480. Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 12 (b) 2\/25 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*o - 5*o. Suppose 4 + 8 = -o*t. Let b(i) = -3*i**2 - 2*i + 3. Let h(g) = -4*g**2 - g + 3. Let d(s) = 3*b(s) - 2*h(s). Determine d(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 16 = -14*n. Let b(g) = 12*g - 13. Let q(x) = 3*x - 3. Determine n*b(w) + 9*q(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 4\/(-20) + (384\/5)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/14))**(10\/7)\/((v\/((v\/(v\/v**(-5\/3))*v*v)\/v))\/(v**(-1\/8)\/v)) assuming v is positive.\nAnswer: v**(-3163\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -114, -252, -368, -450, -486, -464, -372?\n\"Answer: 2*r**3 - r**2 - 149*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.281933ng to tonnes.\nAnswer: 0.000000000000007281933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 j when three letters picked without replacement from {j: 2, p: 2, c: 3, g: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.87131 + -1.44821. Let f = y - 0.0231. Is -0.1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129876594.\nAnswer: 2, 3, 21646099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * 3.7.\nAnswer: 13.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/7, 0.02, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304682, -304669, -304644, -304601, -304534, -304437?\nAnswer: -304304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.184 - -0.584. Which is the second smallest value? (a) s (b) -3 (c) 0.04 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21116 in -2\/7, -4, 22, -3\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/11, 400 in decreasing order.\nAnswer: 400, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6564 (b) 3\/2 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/157 (b) 0.3 (c) -4 (d) 28.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1475\/(-30) - -3)*2\/(-24) + (-318)\/(-848)?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 6*z - 4. Let b be 11 - 1\/(-2)*0. Suppose 5*u + 19 + b = 0. Let m(s) = -s**3 + 5*s - 3. Let f(r) = u*m(r) + 5*a(r). Differentiate f(d) wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, a: 6, e: 2}. What is prob of sequence ae?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 5) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7384952 - g**2 + 5*g - 47*g - 7384933 + (-5*g + 0*g + 3*g)*(3 - 2*g - 3) - 3*g**2 + g**2 + 0*g**2.\nAnswer: g**2 - 42*g + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 - (3\/5)\/(3\/(-15)). Let s be 5\/((-25)\/k) - -1. Suppose -s*f + d + 76 = f, -38 = -2*f - d. Calculate the remainder when 55 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 861566, 1723082, 2584602, 3446126, 4307654?\n\"Answer: 2*w**2 + 861510*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 10 - (4 + -17 + 4 + -1 + 1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 17}. What is prob of sequence llj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 738 - 751.08. Let x = b + 0.08. Let g = x - -4. Is -1 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3 + 1736124*l**2*s**2 - 6081640*s**2 with respect to l.\nAnswer: -6*l**2 + 3472248*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {v: 4, i: 5, k: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56.15 + -3.55. Round y to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 166*s. Let r(i) = -650*i**2 - 170*i. Give r(o(q)).\nAnswer: -17911400*q**2 - 28220*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 + 14*y - 9. Let l(s) = -11*s**2 - 41*s + 26. Let w(o) = 17*g(o) + 6*l(o). Let i = 21 + -15. Does 19 divide w(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 54*c**2 - 71*c - 551. Is p(-28) a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440 + -454.12. Round o to 1 decimal place.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 9:24 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 51918, 5, 2 in descending order.\nAnswer: 51918, 5, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 47 - 59 = 0. Let x be (2 + (-6)\/r)\/(2\/332). Suppose 0 = 13*p - 16*p + x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18232 and 6.\nAnswer: 54696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1376*s**2 + 30*s + 30. Give t(-1).\nAnswer: -1376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3876686 to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 407229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 7. Let s be a(-3). Suppose 0 = s*p - 21 - 135. Calculate the greatest common divisor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 35102726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 12:21 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5802192 and 54168.\nAnswer: 353933712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 61*n - 1138. Give x(76).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by (116\/(-12) + 3)*(-12)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1111 from 1.3.\nAnswer: -1109.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(-5*sqrt(17))**2 + (4 + sqrt(17) + -3)**2.\nAnswer: 2*sqrt(17) + 1290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.3 (b) 3\/8 (c) 1800 (d) 1 (e) -2\/7 (f) 0.2 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68 - 271*u - 196*u**2 - 70 + 138 wrt u?\nAnswer: -392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -2.3.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npgrg. Give prob of sequence gr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 821 = b - 3*i, -4*i + 3292 = 4*b. Let f = b + -574. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (248\/36)\/(1036\/(-111)) - 9\/21\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109173511 is divided by 155.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**3 + 3*r - 3. Determine x(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -13. Let d(b) = 2*b - 15. Suppose -2*m - 22 = -2*c + 3*m, -5*c = -2*m - 34. Calculate the lowest common multiple of c and d(t).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 4:35 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*i - 623 = 0, -6*i = a - 10*i - 196. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47, 139, 233, 329, 427?\n\"Answer: u**2 + 89*u - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 11:48 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 44671144*p - 249438888283592.\nAnswer: -2*(p - 11167786)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21318329*v**3*w**2 + 3*v**3 - 4*v*w - 5*v - 4*w - 757 wrt w.\nAnswer: -42636658*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*r. Let x = 0.4 + -1.4. Is x <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-277)\/831)\/(((-5)\/24)\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 368617, 737234, 1105851, 1474468, 1843085?\n\"Answer: 368617*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11821 * 5608.\nAnswer: -66292168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 147689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 1:18 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 156*a**3 - 1809*a**2 + 3138*a - 1488.\nAnswer: 3*(a - 8)*(a - 1)**2*(a + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 15) to base 12\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**2 + 102*c + 68. Let j(n) = 5*n**2. Determine r(j(g)).\nAnswer: 10*g**2 + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 - -216. Suppose 8*r - 33 = 7. What is the remainder when o is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 5:36 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**5 - u**2 + 1. Let p(b) = 3*b**5 + 4*b**2 - 2*b - 4. Let m(w) = 4*o(w) + p(w). Find the second derivative of m(d) wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 923 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -806 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.09 - -361.31. Let x = -439 + j. What is x rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1272 - -1389. Suppose j = 7 + 2. What is the highest common factor of d and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 91\/(-182)*0\/(-3). Solve l = 9*t - t - 48 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csszccccucwycccwsw. Give prob of picking 1 s, 1 z, and 1 w.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274 and 87817?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149*-0.36.\nAnswer: -53.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 - -241\/2. What is the common denominator of l and 55\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*u**2 - 584*u + 584*u)*(-3*u + 3*u + 2*u)*(2*u + 2*u - 3*u).\nAnswer: 286*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -260*j - 2408*j + 1800*j - 4259*j to the form c*j + t and give c.\nAnswer: -5127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 2*a - 2. Suppose 0*x = -x + 3. Let v be z(x). Suppose 4*t - v = -0*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59 and 5.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 196670*z**3 - 196669*z**3 + z.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1653 + 375 = -3*c. Suppose -c = 7*k - 13*k. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 3, 50, -2, 5, -412 in increasing order.\nAnswer: -412, -2, 3, 5, 25, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 14) to base 10.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-8 - -3)) + (-2806)\/427\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:45 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -120170 (base 9) in base 12?\nAnswer: -35a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2) + (81 - 68).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2740.320518 to the nearest 10.\nAnswer: -2740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 2. Let h = 5 - -1. Suppose 3*j - 5*f = 73, -f - f + h = j. Suppose -j = q + 3*q. Give t(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 10*k + 1\/2*k**2 - 4. What is v(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + a**2 - a**2)*(-4*a + 0*a + a) + (-4*a + 0*a + 3*a)*(-25*a**3 + 68*a**3 - 132*a**3).\nAnswer: 86*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.8. Let u = 0.1 + g. Let x = -0.78 + -0.22. Which is the smallest value? (a) u (b) x (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 12*s - 15. Is u(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/14 - 1\/7. Let h = 9 - 14. Let k = -1\/307 + -305\/614. What is the nearest to i in k, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 20 = 5*z. Suppose -2*l = 2*k - 16, 4*l - 2*l + 8 = z*k. Suppose 2*t + 2*t = q - l, 4*q - t = 91. Calculate the remainder when 47 is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 288 - 276. What is the remainder when 23 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8702323 rounded to 1 dp?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 64*l + 5. Let z be h(32). Solve -z*v = -v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*q**3*v*x - 2*h*q*v*x - 9*h*v*x - 2*q**3*v*x + 3*q**3*v + 12*q**3 - q*x wrt h?\nAnswer: 2*q**3*v*x - 2*q*v*x - 9*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32744, -32710, -32672, -32630, -32584?\n\"Answer: 2*o**2 + 28*o - 32774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9 = f, 2*d = 5*f - 2*d - 23. Suppose l + f*k - 3 = 7*k, 5*l - 15 = -k. Find y such that -4\/3*y**2 + 10\/3*y**l + 0 - 2*y**4 + 0*y = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*b + 2*b = 1, -5*g + 16 = -3*b. Suppose y - g*l - 59 = 0, 5*l - 8*l = 4*y - 351. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 185280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -325, 68, 2?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -76. Let y be 4\/m + (-24)\/(-1). What is the greatest common divisor of y and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 3*r**2 - 2*r - 19. Let u be a(-4). Let c be u\/(-2)*(-3 - (-1)\/1). Solve c - 1 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 6*w)*(-7*w + 11 + 2*w + 6*w).\nAnswer: 3*w**2 + 33*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 3, -2\/11, -234407 in descending order.\nAnswer: 3, 1\/5, -2\/11, -234407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10137864 is divided by 1689643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 1 - 32*x**2 + 30*x**2 + 3*x to the form v*x**2 + n + u*x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9, 1, -5, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1111111010100010011?\nAnswer: -1111111010100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-18)\/g*g))\/(g*g**5))\/(g\/g**(4\/7)*g*g**(2\/7)*g) assuming g is positive.\nAnswer: g**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*t - 892 = -2539 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -426*k. Let m(q) be the third derivative of q**5\/30 + 318*q**2 - 1. Calculate b(m(l)).\nAnswer: -852*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -1085, -1\/27 in ascending order.\nAnswer: -1085, -39, -1\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11042 (base 10) to base 14\nAnswer: 404a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:55 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5*n + 6)*(-4*n**2 + n**3 - 2*n**3 + n**2).\nAnswer: 5*n**4 + 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 < 188\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*p + 9*p + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q - 266*q**2 - 39 + 0*q**3 + 90 + 15*q - 56 - 2*q**3 to c*q**3 + s + d*q**2 + j*q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 13*w**2 + 95*w**2 - 2*w)*(w + 0*w - 2*w).\nAnswer: -106*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbybbbbbbbbybyb. Give prob of picking 3 y.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -56. Let z = 30 - y. Which is smaller: z or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/4)\/((-1)\/(-2)). Let i be (-1)\/1 - x\/(-5). Factor -b**2 - i*b**3 - b**4 + 0*b**2 + 0*b**3.\nAnswer: -b**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037058 to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i + i**2 - 17 - 4 + 4. Let s be w(-10). Suppose -63 = -3*r - s. Calculate the greatest common divisor of r and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -16 + -6 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o = -68*o - 399 - 351. What is the greatest common divisor of o and 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 353 = -20*w. Let o = w + -45. Does 35 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002020112200 (base 3) in base 2?\nAnswer: 10001100100001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((c*c**(-25)*c*c)\/c)\/c)**(-6))**5)**(26\/5))**(-8\/7) assuming c is positive.\nAnswer: c**(-29952\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-1) + 1701\/(-252).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 88 - 278 + 2*c**3 - 4*c**3.\nAnswer: -2*c**3 - 366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5077*h - 5105*h = 392 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -333, -1244, -2769, -4908, -7661, -11028, -15009?\n\"Answer: -307*l**2 + 10*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 352, 474, 548, 574, 552?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 - 4. Suppose 0 = 3*q + 4*q - 364. Let f = -52 + q. Determine p(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000087226 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16)\/(-12) + 202\/(-264) and 67\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33475 - 33475. Solve -4*c + 11 = 3*d, l = -4*d - 2*c + 16 - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/30*5)\/(24\/(-432)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -276339*j**2 + 166358 wrt j?\nAnswer: -552678*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30075)\/(-30) - 0)*4\/5 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 9*n - 11. Calculate x(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*o - 106*o + 24040. What are the prime factors of o?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 19*n + 2. What is v(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -269*r + 268*r + 2225848, 890329 = 2*j - 3*r. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11794*s + 1929*s - 15536*s to the form t + j*s and give j.\nAnswer: -25401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -44.5. What is the third biggest value in w, -4, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 707*z - 696*z - 94512. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 77*w - 10. What is the tens digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9877.695 centuries?\nAnswer: 987.7695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43243553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/8 - p**3\/3 + 11*p**2\/2 - 2*p + 68. Let x(z) be the second derivative of j(z). Determine x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*x + 132, 3*y - 2*x + 45 + 74 = 0. Let p = -112\/3 - y. Which is the fourth biggest value? (a) 0.4 (b) -5 (c) p (d) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - (-27)\/6)*6. What is the tens digit of x\/(-4)*(3 + -35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4623.19 rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 3}. Give prob of sequence aa.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*n + 1. Solve 0 = n*o, -v + 2 = v + 4*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4740621 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j = -11678889 - 16667670 + 3161679. Round j to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-195) - 2408\/(-75348)*9?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -25, -5, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/12)\/(4\/6). Let o be (-457 - f)\/(84\/90). Let k = o + 62411\/126. Find the common denominator of k and 67\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 242153784.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 minus -2?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = -10*a - 24969. Let l = a - -1989. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 - 4*t + 2. Let c be g(-4). Let u be ((-2)\/3)\/(2\/9). Let i be (2 + -2)*(-2 - u). Sort i, -3, c.\nAnswer: -3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 173*z + z**3 + 172*z - 514*z + 1664*z**4 + 170*z to the form v + x*z**4 + a*z**2 + m*z + w*z**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 68?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*w - 2*a + 4, 3*w - 5*a + 20 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 0\/(15\/(-3)). Suppose -g = g + s*g. Suppose 0*w + 7*w - 1015 = g. List the prime factors of w.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17300 times -0.3?\nAnswer: -5190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*-2*247\/(-38)*1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 569029, 569032, 569057, 569116, 569221, 569384?\n\"Answer: 2*j**3 - j**2 - 8*j + 569036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -544*k + 540*k - 11, -o + 5*k = -11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y**2 - 405*y + 3964. Give p(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/20)\/(1\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - k**3 - 4 - k + 2*k**3 - 5*k**2. Suppose -5*s + 5 = -0*s. Let q be (-9 - -9) + 2 + s. Determine x(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16389 <= 26130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-720)\/(-320))\/(54\/(-48))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4486 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -894*f + 25. Let m(a) = a**2. What is m(s(v))?\nAnswer: 799236*v**2 - 44700*v + 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43159 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30214 is divided by 3922?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12602 + -12601.9999990399. Round r to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 627799*p + 627801*p - 54 = 0, 5*l = 5*p - 65 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 37, 49, 53, 49, 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -4 (c) -10\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62370232?\nAnswer: 2, 823, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 20*u**3 - 25*u**3 + 3*u**4.\nAnswer: 5*u**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccczzczccczzccccccc. What is prob of picking 4 c?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 10*q = -3*p - 5, -3*p - 1 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1207750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 3*s**2 + 0*s**2)*(22*s**2 + 8*s + 499*s**2 - 266*s**3 + 9*s**2 + 268*s**3).\nAnswer: -6*s**5 - 1590*s**4 - 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*b - 382 = -1222 - 744 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p - 2. What is the derivative of 2 + 1 + 2*s**3 + s**p - s**3 wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16943 - 38 = 5*t. Suppose -3*s - 4*s + t = 0. Suppose 2*d + 3*n + s = 7*d, -384 = -4*d + 3*n. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 641 = -4*w, -2*w + 323 = x + 2. Suppose 7*j = w + 1100. Is j a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 - (2 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4848 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2658 by 2933.\nAnswer: 2658\/2933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 5*l. Let o be r(-3). Suppose -3*m = -o*m - 18. Calculate the common denominator of (-4)\/m*(-276)\/(-20) and -47\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21225513979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(6\/(-36)). Let k be (-1 - -1)\/f - -5. Is k less than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30116517*o**3*p**2 - 324*o**2*p**2 - 5*o**2 - 1590*o*p**2 wrt o?\nAnswer: 180699102*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*n - 97, -b + 2*n = 4*n - 115. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3899799292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 4)*(-1157*y - 1 - 1379*y + 1).\nAnswer: -2536*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1503 + 3024. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 12*b**2 - 9*b + 16. Let y be i(13). Let t be 17\/y + 14\/8. Solve -t*u = 2*g - 7*g + 12, -5*g - u = -9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v = 67 + 142 + 199 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}