{"text":"Question: Is -947022 at least as big as -947019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1374740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.06 + 0.14. Which is the third smallest value?  (a) -3  (b) -0.5  (c) 0.01  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 54574.95ug?\nAnswer: 0.00005457495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -10*r**2 - 669*r - 1866. Determine q(-64).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3325790?\nAnswer: 2, 5, 13, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-877)\/18417*(-7)\/((-315)\/27).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 - 37*r + 19. Suppose 68 - 17 = -3*g. What is the tens digit of x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-5888)\/(-208))\/8)\/(2*8\/52)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -156, -1, -17, -2.\nAnswer: -156, -17, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-3) - (-110)\/(-33). What is the units digit of (-1 + -7)*4\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4743, 7553, 10361, 13167, 15971, 18773?\nAnswer: 21573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g - 1. Let b(v) = 8*v - 3. Determine b(m) - 4*i(m).\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 12*g + 0*g - 1 + g. Let r(c) be the second derivative of c**3\/3 - 2*c. What is 14*r(p) - 2*x(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 34247403307 minus -48.3?\nAnswer: 34247403355.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -154659 divided by -4?\nAnswer: 154659\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14 + -10. Is (v*33 - 1)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 equal to 89\/407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*o - o + o)*(-13*o + 643*o + 461*o) in the form l*o**2 + g*o + i and give l.\nAnswer: -6546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/1105626 and 73\/16.\nAnswer: 8845008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27\/45 - 212\/770) + (-3)\/21.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -o**5\/50 + o**4\/10 - 849*o + 2. Suppose d(r) = 0. Calculate r.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, -281, -1106, -2707, -5342, -9269?\nAnswer: -14746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 182875068 and 18.\nAnswer: 182875068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**3\/3 + 20*q**2\/3 + 86*q\/3 - 104\/3 = 0?\nAnswer: -4, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000199187 rounded to 6 decimal places?\nAnswer: 0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 3*o + 2 = -2*w, 4 = -4*w + o. Let v(r) = -r + 2. Let y be v(w). Factor 1 + 12*h - y*h**2 - 1 - h**2 - 8.\nAnswer: -4*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -1. Let v be (32\/1192)\/(2 - 0). Which is bigger: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 + 26 = 11*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4*6\/(-4))\/2. Let h(v) = v**2 + 2*v - 14. Let z be h(-5). What is the nearest to z in -5, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3090 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 1) + (4 + -13 - -20)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.036 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -7*k**4 + 7*k**3 + 5*k**2 - 5. Let n(p) = 3*p**4 - 3*p**3 - 2*p**2 + 2. Suppose -3*i - 6 + 21 = 0. Let b(s) = i*n(s) + 2*h(s). Factor b(t).\nAnswer: t**3*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.07*0.8541707\nAnswer: -0.059791949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1410024001 (base 5) in base 2?\nAnswer: -1101101101110011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11573 and 0.02212.\nAnswer: 255.99476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 56. Let q be (-6)\/(-2*1*1). Find the second derivative of c*i + 0*i**3 - 53*i - 12*i**5 + 0*i**q wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 58*u - 11*u - 1050900 = 0. What is the highest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -773, -761, -725, -653, -533, -353, -101, 235?\n\"Answer: 2*u**3 - 2*u - 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -166239.7906289 - 28.4005711. Let r = 166347.1912033 + f. Let n = r + -79. What is n rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/228 and 33\/10.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 111622002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 157732 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 - j**2 - j. Let w(b) = 3*b**3 - 5*b**2 - 6*b - 1. Determine -6*u(h) + w(h).\nAnswer: -3*h**3 + h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4629399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 867, 1472, 2107, 2784, 3515, 4312, 5187, 6152?\nAnswer: 7219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3712749*k + 1747606?\nAnswer: -3712749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/5 - 2759392*r\/5 - 5518776\/5.\nAnswer: -2*(r + 2)*(r + 1379694)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 10:01 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -3*sqrt(51)\/sqrt(3) + sqrt(17) + 1 + 3.\nAnswer: -2*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-17))**(-41) assuming z is positive.\nAnswer: z**697","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 32\/3 - 10. Let t be 3 + -3 + (1 - -1). Suppose 0 + 2\/3*w**5 + 0*w + 4\/3*w**4 + u*w**3 + 0*w**t = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*r**2 - 6*r**2 + 3*r + 0*r**2 - 25*r.\nAnswer: -2*r**2 - 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -474, -1891, -4256, -7569, -11830, -17039?\nAnswer: -23196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*l = 0, 4*j + 9 = 3*j - 5*l. Suppose 1148 + 1306 = j*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 12*l**2 - 63*l - 570. Calculate b(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -2*t**2 - 11*t - 8. Let n be a(-4). Solve 0 = -0*j + n*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -4 + 1\/5*u**2 + 0*u - 2\/15*u**3. Factor q(c).\nAnswer: -2*c*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + -0.2. Let x be 1\/26 + 3\/(-6). Let h = -27\/26 + x. Sort 0.4, z, h in decreasing order.\nAnswer: 0.4, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gccc when four letters picked without replacement from {g: 2, c: 3, n: 4}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 3*s**2 - 6 + 0*s**2 + 0 as g*s**2 + p + t*s and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -26*t**5\/17 + 4*t**4\/17 + 130*t**3\/17 - 20*t**2\/17 - 104*t\/17 + 16\/17 = 0.\nAnswer: -2, -1, 2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of -23*l**6\/6 + l**5\/10 + l**4\/12 - 265*l**3\/2 + l**2\/2 - 2507*l - 1. Find the third derivative of p(c) wrt c.\nAnswer: -2760*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((l + l - l)*(5 - 3 - 4) + 4 + 3*l - 4)*(l**3 + 5*l**3 - l**3) as g*l**2 + n*l**4 + q*l + d + u*l**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 377 divided by 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.15598 to 3 dps.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*j**2 - 7297591*j**3 + 7297592*j**3 - 3*j**2 - 1422 as g + n*j**2 + s*j**3 + b*j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8be - 289?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 1. Let l(f) = 13*f**3 + 78. Determine l(c) - 78*s(c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(1\/(-2)*1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 2:34 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -3\/2  (c) 265  (d) 2  (e) -17854\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(1300)*-1 + 2 + (sqrt(1300) - (0 + sqrt(1300) + -3 - sqrt(1300) - sqrt(1300))) + -2*sqrt(1300)*1*4.\nAnswer: -70*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129996 is divided by 140.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146 + 601 - 160 + 0*u - 149 - 148 + 43*u.\nAnswer: 43*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 - 4*n**2 + 2*n + 1. Let i be x(5). Suppose 7 = 5*w - 68. Let k = -11 + w. What is the greatest common factor of k and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 49 - 53.78. Let g = 0.02 - u. Let y = g + -4.779. What is y rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of s**6\/240 - 23*s**5\/120 - 49*s**4\/48 - 25*s**3\/12 + 19*s**2\/2 - 26*s. Let l(x) be the first derivative of i(x). Factor l(m).\nAnswer: (m - 25)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8*(-1)\/(-240))\/(2\/(-8)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2  (b) -13  (c) 2\/3  (d) 14  (e) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 443 in -0.5, 7, -2\/13, 0.2, -2, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 856, 1710, 2562, 3412?\n\"Answer: -u**2 + 857*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(168)*2*-2)\/sqrt(7))\/((sqrt(968) + (2*(sqrt(968) - sqrt(968)*-2) - sqrt(968)) - sqrt(968)) + sqrt(968)) + -3.\nAnswer: -3 - 2*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 != -802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 0*b + 5 - 4*b + 3*b. Let n(o) = -o**3 + 4*o**2 - 5. Let f be n(4). Let c be v(f). Calculate the highest common divisor of 70 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 205*v - 208*v + 3*m - 63 = 0, 96 = -2*v + 5*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 153\/(-714)*(-504)\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -3*q + 9, 5*l + 12 = 4*q + 6*l. Suppose -90 = -3*w - 2*w. Suppose -3*b + w = 3*b. Solve q*g + 2*a = -7, -b*g = g + 5*a + 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -618\/157 at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/((-1)\/(2\/(-4))). Suppose -3*r = 15, -4*t = -s*t - 2*r - 58. Let q = 44 + -9. Calculate the remainder when q is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3.165, -0.3, -148\/7 in decreasing order.\nAnswer: -0.3, -3.165, -148\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 33*b + 259. Let n(m) = 7*m + 51. Let f(d) = -22*n(d) + 4*x(d). Calculate the remainder when 23 is divided by f(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1836492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 1704.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3aac617 + 7?\nAnswer: 3aac61e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 4*h - 49 = -4, -3*h = -4*n - 128. Let x = n - -55. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 354 is divided by 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (14\/(-10) - (-2 - 1))*5. Find the first derivative of -u - 21 - 11 + 2*n**4 + n**4 wrt n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 34 + -11522?\nAnswer: -11444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 AM and 5:18 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19.56 - -0.44. Let d = g - 20.065. Let a = d - -0.06499911. What is a rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -167*j**4 - 2*j**2 - 3*j - 2654 wrt j.\nAnswer: -668*j**3 - 4*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-90)\/24 - 6\/(-8). Which is bigger: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 6*x. Suppose 4*n - 83 - 2 = -5*t, -2*t - 5*n + 34 = x. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.81  (b) 0.08  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 15*q - 14. Let r(c) = 5*c - 5. Let v(o) = -3*n(o) + 8*r(o). Let f be v(-4). Solve -a + 0*a - 3*b = 10, f = -5*a - b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of -4057*i**7\/210 - 387*i**5\/4 - 616*i**2 - 1. What is the third derivative of h(l) wrt l?\nAnswer: -97368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/15)\/((-5)\/(-100)))\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (-801 + 6 + -4). What is the highest common divisor of c and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d**2. Let p(n) = -2321*n. Determine u(p(i)).\nAnswer: 10774082*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -n**6\/40 - 7*n**5\/80 - n**4\/16 + n**3\/8 + n**2\/4 + 6*n. Factor w(g).\nAnswer: -(g + 1)**3*(3*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 0 - 7 - 10914\/(-102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r - 4*r + 2*r)*(1 - 5 + 5) + 24*r + 10 - 10 + 3*r - 5 + 5.\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c4 - 6a?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 554.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**5 - 20*z**4 + 16*z**3 + 20*z**2 - 18*z.\nAnswer: 2*z*(z - 9)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -3*g + 70. Solve -k = 5*t + g - 12, 9 = -k - 2*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45) + 1*sqrt(45)*-2 + 4*-1*sqrt(45))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-19 - -43) + -54 - (-1 + -6) - -6) + -10.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = -44 + 1886. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 18*q + 160. Let l(o) = o + 2. Suppose -5*n - 4*v = -51, 6*n = n + 5*v + 15. What is the remainder when i(24) is divided by l(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 4:45 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**3 - 11*y**2 - 5*y + 1. Let t be q(-5). Let b(z) = -19*z. Calculate b(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 10*x - 12. Let b be d(6). Let t(m) = 144*m - 35. Is t(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1569, -219, 1131, 2481?\n\"Answer: 1350*h - 2919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-2)\/(-6)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -g + 40. Let d(o) = 25*o**3 + o. Let c be d(-1). Let b = c + 44. What is the highest common factor of b and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/7, 4\/11911, 2, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 AM and 5:55 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 0.155.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 92*o**2 - 2*o + 80*o**2 + 2*o - 11*o**2 to z*o + n*o**2 + f and give n.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 8 + 3 = 0. Let l(s) be the second derivative of s + 0*s**4 + 14\/15*s**6 + 0*s**2 + 0*s**3 + 0 - 7\/6*s**7 - 1\/5*s**a. Factor l(f).\nAnswer: -f**3*(7*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -7. Let p = d - -3. Suppose 5*m - w - 488 = 0, -4*m = -p*m + 2*w + 94. Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 442*p**2 + 1 - 1 + 3851*p**2.\nAnswer: 4293*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -80 + 79.948. Let c = -5.052 - w. Which is bigger: c or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6625d - -2?\nAnswer: -6625b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1063*n - 1045*n + 2110*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 672 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*m + 3*d - d, 2*d = -2*m + 6. Solve -m*i - 16 = -4*c, 20 = 5*c - 3*i + 6*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4530224*l**4 - 3174598*l.\nAnswer: -54362688*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 256.0484+-0.21\nAnswer: 255.8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 167935 by -33587.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**7\/w*w*w*w*w)\/w*w*w**4\/w*w*(w**(-2\/25)*w)\/(w*(w\/(w*w*w**6)*w*w)\/w) assuming w is positive.\nAnswer: w**(498\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 60, -1, -49073, 4, 2 in descending order.\nAnswer: 60, 4, 2, 1, -1, -49073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 8. Let g = r - -14. Suppose -g - 4 = -u. Solve 0 = -3*v - v + u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 9, -3268, -2\/3099?\nAnswer: -3268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/18 > -10566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5b1 + db3?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -j**3\/3 + j**2 + 2*j + 7. Let n be m(0). Suppose n*z - 80 = -2*z. What is the greatest common divisor of z and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 307*c**3 + 81*c**2 + 4*c + 1. Is x(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 5*n**2 + 30*n + 14. What is the least common multiple of 14 and j(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 8:26 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -161 - -159. Which is smaller: d or 1\/16?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 PM and 11:12 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - 6 - -5*19\/190 - (-9 + 0)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of h**2*l - 1562*h**2 + h - 1632*l**2 - 1 wrt l?\nAnswer: h**2 - 3264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3300 = -13965*r + 13966*r. Calculate the highest common factor of 132 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 35 = -5*u, -4*u + 2*u + 14 = 4*i. Calculate the remainder when (-1 - -1)\/(-1) - -25 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*s**2 + 1 + 42*s**2 - 1.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10a4626 + 1?\nAnswer: -10a4625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -117176 divided by 1?\nAnswer: -117176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (-4 - -2) + (5999 - -43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 76 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 divided by -70989.\nAnswer: 26\/70989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 219*f**2 - 3145*f + 6284. Determine g(12).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 93993 equal to 94164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of j**3\/6 - j. Let c(a) be the second derivative of 2*a + 0*a**3 + 0*a**2 + 0 + 1\/12*a**4. What is w(c(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -120.1 + 119. Which is the nearest to 0?  (a) x  (b) -0.5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(5\/6)*(v**8\/v)\/v*v*(v**(1\/3))**(-19))**(-6) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15600821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*o - 291 + 1377 = -279*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -57*f + 2. Let w(y) be the third derivative of -y**4\/24 - y**3\/6 - 2224*y**2 - 4*y. Give w(q) + x(q).\nAnswer: -58*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**2 + b**2 - 2*b**2)*(-52*b**2 - 109*b**2 - 935*b**2).\nAnswer: 3288*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -19*m**3 - 3*m**2 - m + 4. Let w be d(-2). Suppose w = -p + 161. Solve -5*q - p = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 208 + -207.999998271. Round l to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1115011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.39055 nanometers in meters?\nAnswer: 0.00000006139055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/14237 and -11\/57316.\nAnswer: 35478604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 at least as big as 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 27886.3 or 1?\nAnswer: 27886.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 57, 1.2, -2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 32*u**2 - 3*u - 5. Let h be m(-4). Let c be (-2)\/(-5) - h\/(-15). Let v be c\/3 - (-2)\/6. Solve -k + v = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*d**2 + 0*d**2 + 5*d**2)*(7 - 2 - 3) + 0 + d**2 + 0 + 140 - 506 - 8*d**2 + 232 as z*d**2 + r + m*d and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 3. Let q = -10 - -5. Put 0.5, q, f in decreasing order.\nAnswer: 0.5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -41.02314 to 0 decimal places.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 159*h - 54 = 132*h. Let v(f) be the third derivative of 0*f + 1\/3*f**3 - 1\/120*f**6 + 21*f**h - 1\/15*f**5 + 0 + 1\/6*f**4. Calculate v(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of u**6\/360 - u**5\/20 + u**4\/24 + u**3\/2 - 3*u**2. Let g(i) be the first derivative of p(i). Calculate g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.381 - -0.4. Let a = r - 0.019016. What is a rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/5)*s*s*s\/s**27 assuming s is positive.\nAnswer: s**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -5b3 (base 15) to base 2\nAnswer: -10100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 807499313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 5. Let l(s) = s**2 - 8*s - 1. Let j be l(8). Let y = j + 5. Solve 1 = -m + y*i, 2*m - m = -r*i - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/13?  (a) -2  (b) 2\/5  (c) -7  (d) -31  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10275 and -14404.\nAnswer: -148001100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, s: 2, o: 1, d: 1}. What is prob of sequence sd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3501531, 8, 3 in decreasing order.\nAnswer: 8, 3, -3501531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 2 - 2)*(36*b - 78*b + 34*b) + (-1 + 2 + 1)*(0*b - 3*b + b) in the form o + w*b and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 + 5 + 5)*(-2*i**4 - 2*i**2 + 2*i**2).\nAnswer: -60*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 675357703 to the power of 1\/4, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-75) - 26\/(-7)*(-1890)\/2025?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -53*j**2 - j - 6. Let l(k) = -51*k**2 + 2*k - 8. Give 4*i(z) - 3*l(z).\nAnswer: -59*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x + 1. Let t(z) = 9*z**3 - z**2 - 6*z - 5. Let c(u) = -6*h(u) - t(u). What is the remainder when c(-2) is divided by -2*(-3)\/(-3)*-13?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.26 - -0.43. Let w = t - -0.73. Let x = 114.94 - 115. What is the nearest to -4 in x, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 2 o, and 1 z when four letters picked without replacement from moqqoqqommzwmfzommm?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-27 + 40) - (0 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 3*f**3 - 18*f**2 + 10*f - 47. Calculate the remainder when o(6) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 590252839?\nAnswer: 11, 191, 280939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5 and -9821560.\nAnswer: -9821555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*h**2 + 0*h**2 - 11*h - 37*h + 31 + 0*h**2.\nAnswer: -4*h**2 - 48*h + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of -1\/6*n**2 + 0 + 1\/10*n**5 - 50*n + 2\/9*n**4 - 1\/3*n**3 - 7\/90*n**6. Suppose u(i) = 0. Calculate i.\nAnswer: -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60316166?\nAnswer: 2, 23, 41, 31981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 38\/(-4) - (-248)\/496\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from amlummumnuamnma. What is prob of sequence la?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 85255516937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14146 + 24?\nAnswer: 14172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - (-1 + -2))*2. Let i be 4\/(-7) + (-416658)\/(-154). Suppose -i = -f*p + p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/27 and 28\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 1627255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 117 - -325. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s**5 + 0*s**5 + 2*s**5 + (-5834 + 5834 + 43*s**4)*(-2*s + 3 - 3).\nAnswer: -88*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 0*w = 464*h - 469*h + 374, 0*h = -2*w + 4*h - 286 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4624*k - 6*p + 93 = -4621*k + 2*p, 3*k - p = 12 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuxp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -17*z - 32. Let f be r(-1). Is 29905\/3 + 20\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxr when three letters picked without replacement from {r: 12, x: 3}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -9 + b - 3 + 4. What is m(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42339343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -70*d + 311. What is b(6)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + y - 3 = 0, 0*y - 18 = -2*w + 4*y. Let g = -61 + 64. What is the remainder when g is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 102 and 21862.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 1. Are q and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83734, 167468, 251202, 334936, 418670?\nAnswer: 502404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -220022211011 (base 3) in base 12?\nAnswer: -1b111a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -v - 45. Let z = -407 + 417. What is the greatest common divisor of z and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/5493 and 12?\nAnswer: 5493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - -7) + 8 - (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/55 + 18\/22. Let b(p) = 21*p**2 - p. Let r be b(q). Let x be 20\/(-3)*(-30)\/r. Solve 3*u = u - x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 446 - 126. Suppose z + z = k. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 4 = -f, -35*f - 21*f = -5*r + 361 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*f, -z - 20 + 18 = 2*f. Let k(r) be the second derivative of 0 + r**2 - r + 1\/96*r**z - 1\/6*r**3. Factor k(w).\nAnswer: (w - 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of 23*x**4\/6 + 155*x**2\/2 - 131*x. Is j(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 491 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 2*d + 12. Is 183 + d*(-1)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10897*f - 42 = 10899*f. Which is the nearest to 6?  (a) 4  (b) f  (c) 0.2  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4825297 > -4825297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 564 is divided by 98.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2902, 2868, 2834, 2800, 2766, 2732?\n\"Answer: -34*q + 2936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 54331421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2) + (11 + -9)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112220 (base 4) to base 7.\nAnswer: -4136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 3*x + 9, -3*a - 2*x = -2*a - 3. Let n(c) = 161*c**2 - 4*c + 20. Is n(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117036839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sx when two letters picked without replacement from xwzssszsswxws?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 4*k**2 + 2*k - 27. Let w be q(5). Solve -6*g + g + 7 = t, 2*t + w = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 130*s + 128*s + 110*s - 546*s + 128*s + 88*s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23316867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0*(3 - 4)\/(1 + -3). Suppose 6*p - p = m. Solve -15*c + 14*c - 2 = p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000237 rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34208591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 13113223010?\nAnswer: 13113223020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 27914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**3 - 6*p**3 + 0*p**3)*(12 + 638*p - 311*p - 323*p)*(0*p + 5*p + 0*p).\nAnswer: -120*p**5 - 360*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 279 - 107. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ananccnxnq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -2  (c) 971  (d) 8\/109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 - 10. Let l(k) = 413*k - 1239. Let v be l(3). Solve -6*x + i*x - 4 = v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4558200 rounded to the nearest ten thousand?\nAnswer: -4560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 115 - 110. Solve y*p - 8 = -13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -56 divided by -76\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 278135\/5 + -24 - -14.\nAnswer: 3, 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3638 = -3*f + 4*y, 0*y = 5*f - 3*y - 6078. Suppose 3*m + f + 3192 = 0. Let v = m - 190. Round v to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/(4\/6*-1). Suppose 5*k - 5*j - 285 = 0, -4*j + 0 - z = 0. Let o be (-6)\/15 - k\/(-110). Which is the nearest to 2\/9?  (a) o  (b) -1\/6  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -1338?\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - c + b - 20, 16 = c + 5*b. Let g = c - 13. Solve 2*z - 2*s - g = 0, -s + 14 = 5*z - 0*s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*g*o**3 - 4*g*o**2*p - 6*g*o - 3*g*p - o**3*p - 28*p + 16 wrt g.\nAnswer: 3*o**3 - 4*o**2*p - 6*o - 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -4*d**2. Let s(v) = 7215*v - 660. Let f(w) = -88*w + 8. Let m(q) = 165*f(q) + 2*s(q). Determine m(h(l)).\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**2\/9 + 1002232*k\/9 - 445440 = 0. What is k?\nAnswer: -501120, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -11669  (b) -7\/6  (c) 2\/7  (d) 0.02  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 less than -3.4976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83252 is divided by 3082?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 + 17. Let n(i) = i + 3. Let h(k) = -k - 5. Let f be 3 + -3 + 6 + -3. Calculate f*h(p) + j*n(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 2. Let q be 4\/6 + (-114)\/9. Let h = 12 + q. Solve h = -m*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57439*a*j**2 - 10950*a*j*r - 52*a*j + a*r**3 + 2*j**2*r**3 + 112*j**2*r**2 + 4*j wrt j?\nAnswer: -114878*a + 4*r**3 + 224*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29082387.\nAnswer: 3, 701, 13829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*(k*k**(-3)*k)\/k)\/k*k**(2\/7))**35*(k*k*k\/(k*k**(-1\/8)))\/((k*k**(-2\/9))\/k)*(k\/k**(-6)*k*k*k)\/k*k**3 assuming k is positive.\nAnswer: k**(-767\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44901008 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1148 a factor of 71019085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (29\/25)\/((360\/250)\/36)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*w**6 + 271667*w**4 + 6*w**3*y - 230*w**2*y - 3*w**2 + 42*w*y - 104 wrt w.\nAnswer: -360*w**3 + 6520008*w + 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*x - 221*x**2 - 120 + x - 128 + 6*x wrt x?\nAnswer: -442*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50236793 + -0.4?\nAnswer: 50236792.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 0.001, 29, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -g + 4. Let r be -3 + 2\/g*39. Suppose y + u + 1 = 2, -2*y + 4 = 4*u. Which is the closest to y?  (a) 2\/17  (b) -4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -35 + 38. Solve -2*l = -9 + d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = -5*k + 233 - 213, 5*k = -5*h - 70 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 504852 < -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (37 + -35 + (-12)\/5)*-605 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from swwkssksskssks. Give prob of sequence sks.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14931949 * 2.\nAnswer: -29863898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -563*t + 3230 = -527*t - 12250. Solve 448*r - 18 = t*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7*1*67393\/(-133). What is g rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -67779, -135034, -202289, -269544, -336799, -404054?\nAnswer: -471309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 0 + 69*m - 79*m + 2 wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*c - 10*c - 8*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -3*w**2 + 57*w - 38. Is 32 a factor of n(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16272, 32537, 48800, 65061, 81320, 97577, 113832?\nAnswer: 130085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 30*i**3\/7 - 239576*i**2\/21 - 5081518*i\/21 - 10732 = 0.\nAnswer: -21, -2\/45, 2683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 + 10*u - 1. Let a be i(6). Let o be 2 - a*-1*-1. What is the remainder when 12 is divided by (3 + -1)*o\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/6  (b) 6\/7  (c) -0.4  (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + 31*h - 617. What is the remainder when 641 is divided by l(15)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.53 - -0.03. What is the second biggest value in 15, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -43 + 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1789.82733 - 0.2?\nAnswer: -1790.02733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*g**2 - 360830876*g + 360830876*g + g**3.\nAnswer: g**3 - 21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-28) + (-2)\/(-14). Solve -3*s + 2*v - 6 = h, 4*s + 2*v - 4 = -26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/(s**1*s)))**(-2\/7)\/(s\/s**7*s**(-1\/4)\/s))**24 assuming s is positive.\nAnswer: s**(1122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**5 - 2075445*r**4 - 8301830*r**3 - 12452770*r**2 - 8301855*r - 2075465.\nAnswer: 5*(r - 415093)*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -r**4\/12 + 5*r**3\/3 - 3*r**2 - 2*r. Calculate the remainder when 4 is divided by c(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of j**10\/60480 + j**9\/5040 - 4*j**4\/3 - 21*j. Let n(h) be the third derivative of y(h). Let n(p) = 0. What is p?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - -c4?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 0 - 4. Let c be (-1 - -18)\/(-5*4\/(-20)). Suppose -4*k + c = -3*v, 0*v = -k - v - 1. Which is bigger: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20935.38665 - -3?\nAnswer: -20932.38665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005152713559 rounded to 6 decimal places?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -3*y**3 + 7521*y**2 - 491370*y + 2269200 = 0.\nAnswer: 5, 62, 2440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 - 4*v - 5. Let x be q(5). Suppose x = -3*s + 3*j + 21, 22 = 5*s + j + 5. Calculate the least common multiple of s and 558.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 488748, 977402, 1465964, 1954434, 2442812, 2931098?\nAnswer: 3419292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.38 and -2286.\nAnswer: -868.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10100 (base 2) to base 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5326955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 5*o + 20 = 4*b, -4*o = -5*b - 16. Let j be -2 - -2 - (0 + 1). Put j, b, 8 in decreasing order.\nAnswer: 8, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/((-2)\/6))\/((-78)\/(-130)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 5 + 74 = x, 93 = 5*k - 3*x. What is the highest common divisor of k and 4215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**3 + 7*a**2 - a - 22. Is g(-5) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -8*j - 92. Let s be u(-7). Let k(t) = -t - 34. Let r be k(s). Solve 8*z - 3*x = 3*z + 29, r*z + 2*x - 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-156)\/39*(-6)\/28*35\/10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 90, 6, -1 in decreasing order.\nAnswer: 90, 6, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -71, -6, -2, 0.\nAnswer: -71, -6, -2, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 7:29 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -519346 divided by 2\nAnswer: -259673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*375050.\nAnswer: 75010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 545490 + 4*n - 545490.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.322 + -0.12. Let c = b + -5.202. What is the biggest value in 2\/3, c, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*l - 40*l + 8. What is the least common multiple of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*o + o - 3*o in the form m*o + q and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3695351 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 4*y - 30, 3*y + 77 = 5*d + 15. Suppose -36 = -17*c + d*c. Which is greater: c or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4684591, -18738350, -42161281, -74953384?\nAnswer: -117114659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 - 37b0?\nAnswer: -37aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -22, 11, 0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -122596 (base 13) to base 8\nAnswer: -1517161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -27209, -54143, -81077, -108011, -134945, -161879?\n\"Answer: -26934*p - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5285903760 to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4629744 and 16128?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1465457 to the power of 1\/2, to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*i - 2. Which is the biggest value?  (a) -4  (b) i  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sdydefjs. What is prob of sequence esfd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 78, -0.1 in decreasing order.\nAnswer: 78, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of w**6\/60 - w**5\/30 - w**4\/24 - w**3\/3 - 1749*w**2. Determine k(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13926, -13933, -13940, -13947, -13954?\nAnswer: -13961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {b: 2, n: 6, j: 1, r: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 3*m - 5*g, 4*m + 5*g = 47 - 6. Let k(t) = 4*t**2 - 11*t + 10. What is the least common multiple of k(m) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -71072*d**6 + 2*d**3 + 5*d**2 + d - 11484 wrt d.\nAnswer: -8528640*d**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (66*h + 411*h - 53*h + 146*h)*(2*h**2 - 8*h**2 + 0*h**2).\nAnswer: -3420*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101448700 rounded to the nearest 1000000?\nAnswer: 1101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 + 29*s + 124. Let n be a(-29). Suppose -7*h - n = -9*h. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 - 12 = 6*m. Find the third derivative of -5*d - 9*d**m + 10*d - 5*d + 20*d**2 wrt d.\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 37 - 1935*q + 38 + 29 - 104 in the form z*q + n and give z.\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -32, 39, 2, -35, -2, -3, -4 in descending order.\nAnswer: 39, 2, -2, -3, -4, -32, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -22*r**7\/21 - r**4\/2 - 38*r. What is the third derivative of j(f) wrt f?\nAnswer: -2640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 898 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0040639561 to five dps.\nAnswer: -0.00406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 69.21205ng in micrograms?\nAnswer: 0.06921205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -648*q + 627*q + 20*q**4 + 41*q**4 wrt q.\nAnswer: 732*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((3\/2)\/((6\/18)\/(6\/162)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 PM and 6:58 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fzzf when four letters picked without replacement from {z: 9, f: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -165.13?  (a) 0  (b) -2\/13  (c) -1\/4  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 15 = -h, 190*h = 3*c + 185*h - 27 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -197740*g**3 + 146*g**2 + 57*g - 2 wrt g.\nAnswer: -1186440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, -49, 4 in descending order.\nAnswer: 4, -4, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 6*z**2 - 7*z - 9. Suppose 2*v - 7 - 33 = -4*y, -2*v - 2 = -2*y. Determine a(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4927 - 113319\/23. Which is the closest to g?  (a) 0.4  (b) -17  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010010 (base 2) to base 12.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 q, and 1 r when three letters picked without replacement from qrszo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -164095*h**3 + 3*h**2 - 5*h - 123358642 with respect to h.\nAnswer: -492285*h**2 + 6*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -706795?\nAnswer: -3533975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 563400281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 0 = -15. Let v(f) = 6*f**2 - 2*f + 1. Let m(n) = -n**3 - 12*n**2 - 16*n - 23. What is the remainder when v(k) is divided by m(-11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -88585 and -0.905.\nAnswer: -88585.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68928401.\nAnswer: 23, 131, 22877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*s - 3*m + 3, 0 = -4*m + 16. Suppose -s*i + 4 = -5*i. What are the prime factors of (i\/(-5))\/(1\/30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 65 + -52. What is the remainder when (-24)\/(-60) + (-606)\/(-10) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119975017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -30 + 35. Solve -j + p + m = 0, 3*p + 21 = j + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -198*g**5 + 26*g**3 - 48751*g**2.\nAnswer: -11880*g**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.666607 rounded to 2 dps?\nAnswer: 8.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1738 - 13869\/8. Calculate the common denominator of c and 11\/(-2) + 969\/(-1292).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 43?  (a) 0.1  (b) 1\/5  (c) -2  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*f - 5*s, -3*s - 2 = -f - 8*s. Let x(u) be the first derivative of -u**4\/4 + u**2 - 2. Determine x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.932146 seconds to hours.\nAnswer: 0.008314485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 582.48207 minutes?\nAnswer: 0.4045014375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i**10)**(8\/11))**1)**46)**(-28) assuming i is positive.\nAnswer: i**(-103040\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do 16546041\/8 and 2068255 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 232031773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-3)*78\/(-52)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*2*(2 + sqrt(1584)*-2 + 3 + sqrt(1584) + 1 + 2 + sqrt(1584) + -3)*-1)**2.\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 3*d**3 + 0 - 2 + d + 0 to h*d**2 + m*d + y*d**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - -1.10324.\nAnswer: -2.89676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.05068 - 0.050661054. Round o to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 218 + -220 - (-1 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (444\/(-114) - (2 - 6)) + 7773\/(-3990) and 61\/830.\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7126*g*m**3 + 11*g*m - m**3 + 13166*m with respect to g.\nAnswer: -7126*m**3 + 11*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 4344450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.505903 to 2 dps.\nAnswer: 12.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -40*r + 56. Let v be l(3). Let s = v - -223. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -64  (b) -0.03  (c) 5  (d) 5\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24905381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21202*g**2 + 20876*g - 2 wrt g.\nAnswer: 42404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/(-10)*480\/18. What is the highest common divisor of 70 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 1918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - (-18 + (19 - (2 + 35))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19737 is divided by 19640.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of 7*u**5\/5 + 3*u**2 + 8. Let j(h) = 2*h**2. Determine j(v(s)).\nAnswer: 14112*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1250 - -1259 - ((-10)\/(-15))\/((-1)\/12)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k\/(k**1\/k))))\/k**(-2))\/(k\/(k*k**5)*(k*k**7)\/k*k)*((k**5\/k)\/k**(-5))\/(k\/k**(-3\/5)*k**7) assuming k is positive.\nAnswer: k**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2850 + 2849.56. Let n = -17 - -16.7. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -v**4\/4 - 23*v**3\/3 + 79*v**2\/2 + 32*v - 133. Let u be a(-26). Put u, 0, 2, 3 in descending order.\nAnswer: u, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 462657 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10256226029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8947881 and 2877?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.2?  (a) 1\/11  (b) 2\/949  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2. Let q(y) = -906*y**2. What is q(c(r))?\nAnswer: -906*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50.65735km to micrometers.\nAnswer: 50657350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36*y + 36*y + 10*y**3)*(-2*y - 3*y + 6*y)*(y + 0*y + 0*y + (-4 - 4 + 5)*(-2746 + 2746 + 166*y)).\nAnswer: -4970*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 300 - 166. Let q = 73 + h. Suppose -4*v + 5 = -q. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000082477 rounded to seven decimal places?\nAnswer: -0.0000825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 5 = -3*d. Let w(m) = -5*m**d - 2 - 7*m + 15*m**2 - 4*m**2 + m**3. Give w(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13058.\nAnswer: 2, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 402\/7  (b) 14276  (c) 1\/11  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*c - 345 + 181 + 2*c**3 + 22*c + 12*c**2 + 176.\nAnswer: 2*(c + 1)*(c + 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, q: 1, t: 5, j: 7}. Give prob of sequence qm.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 2*n. Let o = 8 + -6. Suppose -4*p - 3 - 5 = 2*z, -o*p - 4 = 2*z. Let d(t) = z*t - t + 3*t. Give g(d(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000007126 rounded to seven decimal places?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((594\/684)\/(-33))\/(1\/(-2))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 163830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -59\/272360  (b) 4  (c) 4\/3  (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39314774.\nAnswer: 2, 23, 109, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.4 + 12?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/5 - (-26)\/10. Let y be -4*x\/(-12)*2. Suppose 0 = -3*r + 22 + y. What is the least common multiple of 6 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q**2 + 2*q + 2. Suppose 0*h = 3*h + 2*r - 5, 4*h - 4*r - 20 = 0. Suppose -1 = -a + d, -3*a - h*d + d + 8 = 0. What is c(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -41*d**2*m - 1721*d**2 - 11*d*m + 1 wrt m.\nAnswer: -41*d**2 - 11*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -20 + -13 + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -23 times -23680\nAnswer: 544640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 297346869 rounded to the nearest 100000?\nAnswer: 297300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 98 - 56. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 993.289011 and -4.\nAnswer: -3973.156044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47096.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82921204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(1452) + (sqrt(1452) - sqrt(1452)*2*-4 - sqrt(1452))))\/(-6*sqrt(48)\/(sqrt(48)\/sqrt(4))*-5).\nAnswer: 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 273012 equal to 273012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 531*b**2 + 0 - 9 - 531*b**2 - b**3 in the form h*b**3 + n + l*b + v*b**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 107 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 = -41*u + 34*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3563435558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 253 (base 9) to base 2.\nAnswer: 11010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 5*b = -12883 + 72328, 0 = o - 4*b - 59427. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 2 - (7 - 3)) + 9 - 26.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 2 - (-18 + 10)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1*8\/20*-10*(-7)\/140\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 2813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000616948366 rounded to 5 dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 2*f - 3. Let l = -20 - -24. Let x be c(l). Let s(u) = -4. Let w(g) = g. Let i(m) = s(m) + w(m). What is i(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - 10*m - 6. Let g be s(-9). Suppose 3*w - g = 3. What is the second derivative of -5*y + 2*y**3 - 4*y**5 - w*y**3 - y**5 wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 - 7*h**2 + 2*h - 4. Let y(i) = i + 4. Let c be y(-4). Suppose 0 = -3*a - c*a + 21. Is n(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -170941, -171012, -171083, -171154?\n\"Answer: -71*r - 170870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 110938 + 107228. Let u = p - 2397217\/11. Let h = -235 + u. Find the common denominator of 25\/8 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(80)*-2 + 1*sqrt(80) + -2 + -5)**2.\nAnswer: -168*sqrt(5) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 20 = 0, -11 = -5*c - 3*q + 11. Let v be 4187\/(-318)*(-42)\/20. Let m = v - 132\/5. Is c < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or 1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 = -3*a - 9. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 54 and 15720?\nAnswer: 141480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 958 - 543. Let x = 1.362 + -0.362. Are x and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/4376 and 117\/2910040?\nAnswer: 2910040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 13032423, 13032427, 13032431?\n\"Answer: 4*l + 13032419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 16281*q**3 - 1939*q**2 + 23*q - 92. Let z(o) = 4071*o**3 - 485*o**2 + 6*o - 24. Let h(d) = 6*a(d) - 23*z(d). Find the third derivative of h(s) wrt s.\nAnswer: 24318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*i - 98*i + 490 = 0. What is the smallest common multiple of i and 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*m + 10488 + 13640. What is the highest common divisor of 192 and m?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 430826, 430595, 430208, 429665, 428966, 428111?\nAnswer: 427100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 221\/4 - 55. Let y = 7 - 8. Let r be y*(-28)\/8 + -3. Which is the closest to -1?  (a) w  (b) 4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 13*u**2. Let o(z) = -z - 1. Let b(a) = -2*a - 3. Suppose 35*g + 4 = 31*g. Let d(q) = g*b(q) + 3*o(q). Calculate d(s(i)).\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 76 = 3*i - 58, 3*g = g + 17*i - 45 + 147 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.2 + 0.7. Let y = -0.9 - p. Let j = y + 0.8. Which is the biggest value?  (a) -2  (b) j  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3203, -3203, -3213, -3239, -3287, -3363, -3473, -3623?\n\"Answer: -q**3 + q**2 + 4*q - 3207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*(p\/(p*p**(-2)))\/p)\/p**(8\/3))**(11\/3) assuming p is positive.\nAnswer: p**(-22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26.4 + 25.23. Let l = i - 2.83. Let p be 9*(-1)\/(-6)*2. Sort l, p, 0.\nAnswer: l, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 145*g**4*p - g**2 + 20*g*p + 10*g + 7428159*p wrt g.\nAnswer: 580*g**3*p - 2*g + 20*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -48\/5291 and 8\/11?\nAnswer: 5291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0032125 to five dps.\nAnswer: 0.00321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 203752 + 367.202.\nAnswer: 204119.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 29291\nAnswer: 5858.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 12*x + 5 - 13*x**2 + 20*x**2 + 18*x**2 + 14. Let q be d(13). What is q rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 60 + -59. Which is the third biggest value?  (a) 1.1  (b) -2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -v**4\/2 - 17*v**3\/3 - 7*v**2\/2 - 1112*v. Calculate j(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.469*-43\nAnswer: -20.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 384809779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 24 - 88. Let w = -28 - l. Suppose w*j + 3 = 7*j. What is the smallest value in -2\/11, 2\/5, j, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 629605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 258189039 to the power of 1\/3, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 51 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 21126 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 19 = 5*c - 6*c, -4*z = -5*c - 1899 + 1983 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25598.\nAnswer: 2, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24*c + 2*c - 11*c)*(3*c**2 + 0*c**2 - 2*c**2) - 5*c**3 + 6*c**3 + 0*c**3 to n*c + i + u*c**2 + q*c**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 4. Let s = d + -6. Let y = -2317\/6 + 387. What is the second biggest value in -0.2, y, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18068\/7 - -2582. Put t, -47, -0.2, -3\/2 in ascending order.\nAnswer: -47, -3\/2, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -58a060 (base 11) to base 15.\nAnswer: -1373de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2 + 35*p - 17.\nAnswer: -(p - 17)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35852.71*-0.5.\nAnswer: 17926.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-22)\/(-55) + (-16)\/(-10). Find the second derivative of -h*c - 8*c + 3*c - 2*c**2 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 34270 + -23103. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -41*a**2*t**2 + a**2 - 9*a + 3592*t**2 wrt a?\nAnswer: -82*a*t**2 + 2*a - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + 4. Suppose -n = -2*v - 2*v + 78, -4*n = -v + 12. Solve a = -c*a - v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l**2 - 135*l + 223. Give x(57).\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*l + 13*l = -132. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 - t**2 - t - 6. What is the remainder when 709 is divided by l(5)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2130 + -51?\nAnswer: 2035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*h + 2206 - 73*h - 1105 - 1105.\nAnswer: -9*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3323742 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5874534389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26782045 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -58*c + z - 1624, 4*c - 5188*z + 112 = -5187*z for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -313 - -308. Let v = -69.4 + 60.4. Which is the smallest value?  (a) x  (b) -1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h**2 - 14*h - 32. Let w be p(-2). Sort -1, -7, -2, w.\nAnswer: -7, -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 881.74 to the nearest 10.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*d + 33 = 0, -2*b + 39 = -0*b - 3*d. Suppose x = -x + b. Suppose -9 - 69 = -3*v. Calculate the remainder when v is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 5*c = 2*x + 70, 4*c + 40 = -4*x. Let a(f) = f**2 + 12*f + 28. What are the prime factors of a(x)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 221515357 by 221515357.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -15, -q + s = -0*s + 11. Let w(n) = 3*n**2 + 8*n + 3. Let o be w(q). Calculate the greatest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-4\/9))**(-35)*(q\/(q*q*q\/(q*q**11)))\/(q\/(q*q**10)))**40 assuming q is positive.\nAnswer: q**(12800\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8861245, 8861246, 8861247, 8861248, 8861249?\n\"Answer: i + 8861244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111001 + -101110100001?\nAnswer: -110001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 3*u - 7 = 4*k, k + 2*u = 0. Let t = 10 + k. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -7*y**5\/20 - y**4\/3 + y**3 - 3*y**2 - 30*y. Let s(v) = 8*v**3 + 5*v**2 - 7*v + 7. Give 7*r(x) + 6*s(x).\nAnswer: -x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -4\/10932405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 29. Does 13 divide (-231)\/i - (-2 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 497879 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -202 - -18?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqkkkkk. What is prob of picking 1 k and 2 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qxquuuq. What is prob of picking 1 x and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -121 + 121.2. Which is the fourth biggest value?  (a) 2  (b) o  (c) -0.3  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3623*d - 14504. Give s(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 - 53*o - 101. Let j be k(-2). Sort 23, -1, j, 17 in descending order.\nAnswer: 23, 17, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9882549 kilometers to millimeters.\nAnswer: 988254.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/91 + (-116)\/1624?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2122 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, 1, -0.3, -56001, 1\/4, 4 in ascending order.\nAnswer: -56001, -0.3, 1\/4, 1, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-5 - (-1 + 8 - 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -23, -2.1, -4, 16.3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 7. Suppose 0 = z*r - 6*r. Let s be 2 + -3 + (0 - -13). Solve r = -v + 5*l - 23, 0 = 2*v - 5*l + 9 + s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -264?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1872 by 12.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + (3 - (-4 + 3087)) + 2. Let z = 11081 + q. Round z to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of l**6\/200 - l**5\/50 + l**4\/40 + 14*l**2. Let s(n) = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(((-6)\/(-9))\/((-2)\/6)). What is the units digit of (i\/(-3))\/(3\/54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of 4*w**3\/3 + 3*w**2 + 11*w. Let a be (8\/6)\/(4\/6). Let q(y) = -6 + a - 1 - 7*y. Determine -6*q(l) - 5*v(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(2 - (-81)\/(-36)). Let i(f) = f**2 - f**2 - 6*f**2 + f**3 + 11*f**2 - 3*f + 2. Let k be i(-5). Which is bigger: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 55 - 50. Suppose -3*j = t - 4, 4*j + 2 = -c*t - 0. Suppose 8 = j*z + 2, -z = 3*p - 11103. What is p rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 6:02 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 627*z**2 - 2*z - 2. What are the prime factors of k(-1)?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, h: 4, q: 1, s: 2}. What is prob of picking 4 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 47 = 62. Let k = 22 - 13. Calculate the lowest common multiple of k and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 3*k**3 + 5*k**2 + 11. Let n be t(-4). Let v = n + 97. Which is the nearest to 3?  (a) v  (b) 2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.3 - -0.5. Let q = -3\/35 - -17\/35. What is the closest to -1 in 1\/6, q, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3555 = -151*u + 1001*u + 32995 for u.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 374467219 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 0.5, 7\/67, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00014445032 to six decimal places.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**2 + 2*x**2 - 7 + 2 - 11.\nAnswer: 4*x**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4502 - 1866. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*(b**0\/b)\/b*b))**(12\/13)*(b**2)**(2\/15) assuming b is positive.\nAnswer: b**(232\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1053) - -6*(sqrt(1053) + sqrt(1053) + 2))**2 + 0 + (-3 + sqrt(1053) - sqrt(1053)))*-5.\nAnswer: -890490 - 14040*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 + -4 + -2 - (0 + 0). What is the tens digit of (5 + d)\/5*(-12)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 3*h + 7, 5*b + 11 = -0*h + 3*h. What is the units digit of (b\/(-6))\/((-5)\/(-60))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13 and 502645.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-10)\/(-15) - (-2)\/(-3). Suppose l + 3 - 1 = b. Which is smaller: -5 or l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 18*d - 2 - 26*d - 17*d**2 - 7*d**3 + 2 + 4*d in the form o + q*d + p*d**2 + f*d**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2953688?\nAnswer: 2, 369211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m**3 - 17*m**2 + 24*m + 8. Let l(d) = 7*d**3 + 35*d**2 - 49*d - 17. Let o(w) = -9*c(w) - 4*l(w). Let g = -330 + 341. Does 3 divide o(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 161, 5, 1 in decreasing order.\nAnswer: 161, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 224963326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -a**4\/6 - 40*a**3\/3 - 253*a**2 + 1640*a\/3 - 1681\/6 = 0.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 30 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 32 + 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/((a\/(a\/(a*a**(-1))))\/a))**(5\/6)\/(a*a\/(a**0*a)*a)**(-26))\/(a**(1\/4)\/a*a*((a\/a**2)\/a*a)\/a*a)**(-5\/14) assuming a is positive.\nAnswer: a**(8971\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 22543 (base 7) to base 15\nAnswer: 1a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 21930 or 372798\/17?\nAnswer: 21930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40604 or 40605?\nAnswer: 40604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.8 in 5, 4, 0.3, -16?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + i - 446 = 19, -279 = 3*v - 5*i. Let d = v - -89. Sort d, 1, -3 in increasing order.\nAnswer: d, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 5*w**5 - 133725*w**4 + 2805795*w**3 + 6012785*w**2 + 3073260*w = 0.\nAnswer: -1, 0, 23, 26724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 AM and 12:59 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39923\/414 + -2048\/23. Find the common denominator of s and 81\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*m = -13*m + 118. Solve -v - m = 4*i - 4*v, -v = -3*i - 7 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16)\/(-6) + (-7)\/((-42)\/(-4)). Factor 16*c**p + 2*c**3 + 16 - 7 + 8*c - 9 - 6*c**4.\nAnswer: -2*c*(c - 2)*(c + 1)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14489?\nAnswer: 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 49 - 47. Suppose -4*g = -5*z + 641 - 240, -5*z + c*g + 403 = 0. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 205 and 48310?\nAnswer: 1980710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 1, -0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 55983\/527 and 105 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -7) + 26 + (4 - (2 - 12) - 9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**3 - 2*u**2 - 4. Let t(o) = 2*o**3 + 2*o**2 + 3. Determine -3*s(h) - 4*t(h).\nAnswer: -2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, 5, 4, -119, 79.91, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 3. Let d(p) be the first derivative of p**2\/2 + 3*p - 1. Let s be d(0). Calculate the greatest common divisor of g and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -277 divided by 6?\nAnswer: -277\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes before 5:39 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 18893 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 659 (base 11) to base 7\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -90 + 7*o - 216*o**3 - 5*o + 215*o**3 - 4*o**2 in the form r + s*o**2 + g*o**3 + h*o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/4)\/((28 - 24) + -1*1). Factor f*x**2 - 1\/4*x + 0.\nAnswer: x*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - -1 - (61 - (4 + 44)) - (45 + -2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v + 9. Suppose -2*s = 2*s - 48. Suppose -a - a = s. Calculate k(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40554582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 36 = -4*q, -4*f = f + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3*(4\/10)\/(84\/14). What is the second biggest value in z, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/179, 12, 61, -242.\nAnswer: -242, -2\/179, 12, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4)\/10 + (-4758351)\/(-3315) is divided by 63.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 19*a - 1. List the prime factors of h(7).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.44 - 0.65. Let d = -2679 + 2678.790208. Let q = k - d. What is q rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141924510 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*h**2 + 5*h**2 - 15*h**3 - 13*h**2 in the form m*h**3 + b*h**2 + q*h + a and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*r + 17. Let q be ((-10)\/6)\/(2\/r). Sort -1, 0.3, q in ascending order.\nAnswer: q, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.6 - -0.6. Let s = 11.2 - 11. Which is the nearest to y?  (a) 2  (b) 3\/2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/(-18)*(-12)\/1. Let n be 39\/52*o\/(-27). Let u = -5\/21 - 2\/21. Which is the biggest value?  (a) u  (b) 0.2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k + 9. Let q be u(-6). Suppose -2 = -2*p + p - 3*r, -4*r = q*p - 6. Let s be p\/4*(-11)\/22. Which is the nearest to s?  (a) -1  (b) -11\/2  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 10102, 10104, 10106, 10108?\n\"Answer: 2*n + 10100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (44 - 0 - 1) + (-91 - -102) - 4?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**(3\/5))\/v)\/v*v\/(v**3*v))\/(v**(-6)*v**(-5)\/v)*(v\/(v*v\/(v\/v**(-2)*v))*v)**(-7\/2)\/((v**(-2\/7)*v*v)\/v)**(-2\/65) assuming v is positive.\nAnswer: v**(-2447\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.76488t in milligrams?\nAnswer: 60764880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 54917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -1. Let w(v) = 5*v**2 + 2*v - 7. Let k(d) = d**2 - 6*d - 8. Let h be k(-1). Give h*w(s) + 5*z(s).\nAnswer: -5*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -37*h + 955*h**2 + 37*h + (4*h - 4*h - h)*(-4*h + 3*h + 2*h).\nAnswer: 954*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1359 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4699052 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h + 1. Let o be y(1). Suppose -g - o*i - 1 = -0*i, 4*i - 1 = -3*g. Let d = g + 10. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1.1  (b) -0.5  (c) -0.06  (d) -36\/17  (e) 0.6  (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/120 and 51\/2716.\nAnswer: 81480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - 0. Let y = s - -49. Suppose 0*w = 5*w - y. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 - 40*w**2 - 131*w + 104. Give y(43).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 133, -4, -5500 in decreasing order.\nAnswer: 133, -4, -5500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -b894 (base 14) in base 7?\nAnswer: -161644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 903441, 1806888, 2710335, 3613782, 4517229?\nAnswer: 5420676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 53705 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11845, -23678, -35511?\nAnswer: -47344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22454 is divided by 1495?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-15)\/k)\/(k\/(k**11*k)))**(1\/27) assuming k is positive.\nAnswer: k**(-5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 173988 a multiple of 1074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5194 - 5193.6. Which is the third biggest value?  (a) -1  (b) -4  (c) -0.058  (d) z  (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 PM and 11:46 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y**4 - 3*y**4 - 2*y**4 + (-21 - 11 + 7)*(-2 - 2*y**4 + 2).\nAnswer: 42*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1206642 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.06 + 0.34. Let s = -63.516 + 63.316. Which is the nearest to 14\/3?  (a) s  (b) i  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 159?  (a) -1  (b) 2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**3 + 24140*x**2 + 72448*x + 48304.\nAnswer: -4*(x - 6038)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26267*g**2 + 8996*g?\nAnswer: -52534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4112500.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 35960291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*j**2 + 5*j**3 - 1 + 1.\nAnswer: 5*j**3 - 21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 5*u = 55, -19 - 8 = -2*o + u. Let v = o + 2. Suppose 3*s = -0*s + v. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 154632, 309262, 463892, 618522, 773152, 927782?\n\"Answer: 154630*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand c**3 - c**3 - 2*c**5 + (3*c**3 - 2*c + 2*c)*(c**2 - 1 + 1) - 353*c**5 - 228*c**5 - 173*c**5.\nAnswer: -753*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4\/9 + -35\/18. Let j = -7.6 + -0.4. Let g = 5 + j. What is the second smallest value in k, -4\/7, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 3) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, -1, 4, -2\/5, 0.3, 3\/5, 6\/197?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -39 + 2*b - 3*b**2 + 39 + (3*b + b - 5*b)*(-2*b + 5*b - 4*b) + 2*b**2 + b**2 - b**2 - b + b - 2*b**2.\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13005, -26006, -38993, -51960, -64901?\nAnswer: -77810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 - 3\/6)*(-56690)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -50506 - -50501.0986. What is u rounded to one dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11909610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 6.5. Let r = 2 - -3. What is the biggest value in r, z, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/(-18)*2 - -1. Suppose 168 = -8*z + 160. What is the second smallest value in 0, z, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -483, -485, -487, -489, -491?\n\"Answer: -2*l - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 6 + 109*q - 12.\nAnswer: 109*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*l + 30*l + 15 = -23*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n - 3. Suppose -4*y + 24 = -r, -2*y - r + 5 = -1. Calculate z(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1314*g**2*r**2*t**2 - 13*g**2*t**2 - 2*g*r**2*t**2 - 33*g*r**2*t + 2*g*r**2 - 2*r**2 - 2*r*t**2 wrt g?\nAnswer: -2628*r**2*t**2 - 26*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*x - 21032 = -31*x + 101*x + 88*x for x.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(2\/23)\/(y*y\/y**(-20))*y**(-4)*y*y**6*y assuming y is positive.\nAnswer: y**(-412\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 473 - 388 = 85*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2175.3 + -2175. Let g = 2.2 - 2. Let j = -0.8 - -0.3. Which is the smallest value?  (a) j  (b) g  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132696196?\nAnswer: 2, 167, 198647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 146 - 239. Find the common denominator of k\/(-18) - (-3)\/12 and (668\/360 + 0)*9\/(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -21\/67, -68, 8?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of -b**4\/8 - b**3\/6 + b**2\/4 + b\/2 - 30. Solve w(c) = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of 1\/2*v**4 + 17\/15*v**3 + 0*v + 4\/5*v**2 + 90 + 1\/25*v**5. Factor y(g).\nAnswer: g*(g + 1)**2*(g + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 3*a - 5*g - 3266, -5*g + 1618 = 2*a. What is the remainder when a is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2683 - -4866. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16 - ((-9 - -12) + 15)) + (6 - 3 - -98).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from kbbkkbkbkeeekkek?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 178764471 to the power of 1\/2, to the nearest integer?\nAnswer: 13370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -v - 27. Let u be (v\/(-3))\/(-3) - -5. Find the third derivative of 4*r**4 - u - 40*r**2 + 4 + 43*r**2 wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.7 + -1.8. Let f = g - -1.01. Let i = -68 - -73. Which is the second smallest value?  (a) f  (b) i  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 2844903*c**3 + 2844865*c**3 + 8.\nAnswer: -38*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6*c**2 + 119*c - 1349. What is f(9)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -6  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -66778068 equal to -66778071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ldzw when four letters picked without replacement from axazzwdl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p - 4. Let a be x(3). Suppose -4*z + 14 = -b - 6, a*b = -8. What is the first derivative of -10*q**2 - 2*q**4 + 10*q**2 - 6 - q**z wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 194, -80, -354, -628, -902, -1176?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 2*p - 2 + p)*(7 - 7 - 4*p**2).\nAnswer: -4*p**3 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 529431377 to the power of 1\/2, to the nearest integer?\nAnswer: 23009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*q + 125850000 = -8*q. Round q to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -5767?\nAnswer: -2\/5767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ixx when three letters picked without replacement from {a: 1, t: 2, x: 4, v: 2, i: 2, s: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -64, 0.2, 4, 0.1 in ascending order.\nAnswer: -64, 0.1, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -4 + -5 + 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.98 - 0.02. Let o = -25.7 - -23. Let i = s - o. Which is the second smallest value?  (a) i  (b) 0.5  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3*(-10)\/6*1. Solve w*k = 3 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -17, -62, -123, -188, -245, -282?\n\"Answer: 2*u**3 - 20*u**2 + u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 2:05 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -3585706310 to the nearest one million.\nAnswer: -3586000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 - 4*l. What are the prime factors of o(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = a + 15, 0 = -3*a + 32*t - 29*t + 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/10)\/(34\/((-680)\/30))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7094 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/25, 3, -0.12, -2\/9, -0.5.\nAnswer: -0.5, -2\/9, -0.12, -2\/25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 137 + -136.74. Let f = y + 0.14. Let k = 0.3 - 0.2. Which is the closest to -1\/3?  (a) 4  (b) k  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (-7)\/(147\/213)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 1 + (15 - -295). Suppose 3*c - 399 - m = 0. What are the prime factors of c?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/7, 6, -3\/2, 9 in descending order.\nAnswer: 9, 6, 1\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 293 and 40516919?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 276*p = 263*p + 65. Let d be 1\/((-1)\/(28\/(-2))). Suppose -2*g = -d - 16. Solve g = 2*l + p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.052?  (a) 5  (b) 1\/7  (c) -0.6  (d) -5  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(2) - (sqrt(2) + 0 + 1)) + -2*sqrt(50)) + (sqrt(18)\/sqrt(3))\/sqrt(3) + -2 + 4 + 0)**2.\nAnswer: 294*sqrt(2) + 4811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2936.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 2*u**2 - 3 - 1)*(1 + 2 - 1) to the form x*u**2 + n + k*u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -712 + 1231. Suppose 5*a - 1474 = -j. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -474542.\nAnswer: -237271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of 0 - m**2 + 1\/24*m**4 + 1\/6*m**3 + 0*m. Give x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -365949, -731900, -1097851, -1463802, -1829753?\nAnswer: -2195704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 38 + -32. Let s(y) = y**2 - 210*y - p - 3 + 218*y. Let v be s(-9). Solve v*c = -4*c + 3*j, -2*j - 14 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -da (base 14) to base 11\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3546 + -3761.86. Let n = 218 + o. What is n rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -10726183, -10726197, -10726211, -10726225, -10726239?\n\"Answer: -14*s - 10726169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -74154, -148317, -222470, -296607, -370722, -444809, -518862?\nAnswer: -592875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -5*r**3 - 298*r**2 + 116*r - 233. What is l(-60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 39, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5256662.\nAnswer: 2, 2628331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 AM and 12:21 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10010000100 (base 2) to base 4.\nAnswer: -102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*14*10\/(-4). Let j be 46\/14 - 10\/a. Solve j*s = -1 + 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 2*u - 353 = u, 3*m = 3*u + 261. Let t = -89 + m. Suppose -65 = -8*i + t*i. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -11*p**2 + 1226*p - 2927. What is t(109)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 5. Suppose 18 = 2*w - 40829*b + 40830*b, -w + 3*b = 26. Let c be -1*(-1 - 2 - -2). Solve a + c = w*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 223 - 238. What is the remainder when 6\/12*(-54)\/m*30 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + -12 + (10 - 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 4:29 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -55 + 239. Let u = s - 157. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*u**3 - 5*u**3 - 4*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {n: 1, g: 1, r: 1, m: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 22*q**3 + 84*q**2 - 5*q + 6. Calculate c(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 5*d = -189. Calculate the greatest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 3 - 17. Suppose -9 = -5*z - j*o + 4, z = -4*o - 7. Suppose u = 2*u - z. Solve 5*k + 5*i = -13 - 2, -4*k = u*i + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -14 - 66. Let d = -54 + q. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 27 - 20. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 16 = -2*a, -5*a + 3 = -2. Let c be 3*p\/(-9)*1. Solve -c*g + 3*g = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -320 = -4*k + 4*w, k - 2*w - 93 = -17. What is the smallest common multiple of k and 7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 1. Suppose -2*x + 9 = x. Suppose x*p - 5 = 10. Sort -1, d, p in descending order.\nAnswer: p, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-2) - (-9 - -1). Let g be ((-920)\/300)\/(-2) - 2\/z. Find c, given that 0 - 1\/3*c**2 + g*c = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 88 and 69355?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 12*s**2 + 14*s - 14. Let g(a) = -4*a**2 - 5*a + 5. Determine 14*g(l) + 5*v(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 8.4 * 42869\nAnswer: 360099.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*g + 17*g = 0. Which is the second smallest value?  (a) -3\/4  (b) 2\/9  (c) 3\/4  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 - -64516?\nAnswer: 64526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-2 + (-2 - 0)) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -16 + 22 + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 36120, 36101, 36068, 36015, 35936, 35825?\n\"Answer: -v**3 - v**2 - 9*v + 36131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 + 0.1. Let z = -755.69 - -751. Let n = 1.69 + z. What is the second smallest value in o, n, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -5*k**3 + 8*k**3 + 7 - 4*k**3 + 2*k**3 + 5*k**2. Let s(y) = y + 1. Let w be s(-5). List the prime factors of i(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -94\/15 and 35\/10790382.\nAnswer: 53951910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5\/((-90)\/4) - 0. What is the smallest value in -0.3, 0.31, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 364026, 1456283, 3276708, 5825301, 9102062?\n\"Answer: 364084*p**2 + 5*p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/4 + 0)*2. Determine d so that -d**2 + h + d**3 + 4*d**2 - 4*d + d - 2*d**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + 190\/275*25?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 515*j + 119*j + 7443 + 165 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, 3.7, -0.6, -10.9, 2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of l**3\/6 - l**2 - 8*l. Determine s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-15 - -28) + (-2)\/2. Solve -j + 6 = 5*v, -3*j = -4*j + 4*v - o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 4*z - 7 = 0, 0 = -5*c - 4*z + 3 + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 20, 3*d - 3*h = 25 - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 7*h + 8. Let d be t(8). Let v be -1 + d + 0 + 0. Let y = -1083 + 1083.2. What is the nearest to 0 in 3\/8, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2260049*o**2 - 29243618 wrt o?\nAnswer: 4520098*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of -v**5\/60 - v**4\/24 - 1314*v**2 + 2. Let q(g) = g**3 + 2*g**2 + 3*g - 2. What is q(m) + 4*z(m)?\nAnswer: m**3 - 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.05624 days in nanoseconds?\nAnswer: 1732859136000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 4644?\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 + 34)*(6 - (-350)\/(-42)). Is 3902 - (4\/(-22) + (-322)\/f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5940\/(-360)*5\/(15\/2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3c (base 13) to base 14\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 78 - 309\/4. What is the nearest to 2 in -1\/2, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2092, -2091, -2088, -2083, -2076?\n\"Answer: f**2 - 2*f - 2091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 213252 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 90469871?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-29)\/(-1 + (-15)\/(-9) + (-164)\/(-492)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183*m + 226*m = -430 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (212\/(-20) + 6\/(-15))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = 99*d - 344. Solve 2\/11*y**4 + 16\/11*y - 8\/11*y**2 + 0 - 4\/11*y**d = 0 for y.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/224 and -109\/12?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 115806 - 32899. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6)*(14985\/(-10656))\/(45\/(-252))\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 68*m**2 - 10171*m + 3235978. Let d(h) = -40*h**2 + 5085*h - 1617990. Let j(r) = -5*d(r) - 3*f(r). Factor j(n).\nAnswer: -4*(n - 636)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 - 5*k - 1. Let q(l) = 0*l - 10*l + 2*l**2 + 524 + 514 - 1039. What is 3*q(n) - 7*z(n)?\nAnswer: -n**2 + 5*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(153)*2)\/sqrt(9).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 20 = -3*l, 0 = -l + 97*z - 98*z - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2420016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 14) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1580891316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9*(1 + 1)\/(-12).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of 136072630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -1\/3*p**3 + 0*p + 0 - 3*p**2 - 1\/12*p**4. Let j be f(-2). Solve v + j = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/6*-4)\/(40\/(-60)). Differentiate 7*d**s + 11*d**4 - 24 + 34*d - 34*d wrt d.\nAnswer: 72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/7*(-1495 + 1504).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 461*h**2*w**2 + 5*h**2*w + 38*h*w**2 + 47*h*w - 2*w - 1 wrt w.\nAnswer: 922*h**2 + 76*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4913 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/12 + 734\/504. Let n = 5\/18 - f. Let w = 0.12 - -0.18. Which is the third biggest value?  (a) w  (b) -3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 247 + -207. Let t be 1 - 2 - 4\/o*-6. What is the closest to 1\/2 in t, 2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/175, 418\/9, 5, 22\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31 - -13*330\/(-195)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 + -11. Suppose -5*k - 329 - 66 = 0. Let c = k + 159. What is the greatest common divisor of p and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*s + 4*s - s)*(1 + 1 - 4)*(1 - 1 + 4*s) + (-5 + 5 - 2*s)*(-4*s + 0*s + s))*(28*s**3 - 2475*s**2 + 2475*s**2).\nAnswer: -504*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 36 = 4*m, m - 25 = -5*u + 8. Suppose u = -9*k + 6*k. Suppose 0 = -0*r + r + 3. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 1:42 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -13451 (base 6) to base 8\nAnswer: -4107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of 2*y**7\/21 + y**6\/9 - 2*y**5\/5 + 2*y**4\/9 + y. Solve b(t) = 0.\nAnswer: -2, 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2*y + 0 + 2)*(-20 + 9 - 6)*(2 + 7 - 3) to the form v*y + f and give v.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*(sqrt(198) - ((sqrt(198) - sqrt(198)*2 - sqrt(198)) + sqrt(198)))\/sqrt(11))*1.\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*p - 2*p**2 - 9*p + (p - 2*p - p)*(12*p + 27*p - 20*p) as u*p**2 + v + c*p and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that i**2\/8 + 70885*i\/2 + 5024683225\/2 = 0.\nAnswer: -141770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2*-2027)\/(-2 + 5). Let u = -57077\/42 - n. Find the common denominator of u and -37\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 24\/19*z**3 - 14\/19*z**4 + 8\/19*z**2 + 2\/19*z**5 - 32\/19*z + 0 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2*z**3 - 24*z**2 + 16*z - 6. Let i be x(-13). Suppose 0 = 3*u - 155 - i. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1011020210200 + -12?\nAnswer: 1011020210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 112897 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 - 14*u - 20. Suppose -135*i = -141*i - 48. Determine n(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -543590529 - 8.19?\nAnswer: -543590537.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(-5 + -2*sqrt(200) - sqrt(200)) - 2*(sqrt(200) + -1*sqrt(200)*-4 + sqrt(200)))*3)**2.\nAnswer: -10800*sqrt(2) + 65700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - 6*t**2 - 4*t + 8. Calculate the smallest common multiple of j(-6) and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5140 (base 7) in base 14?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 7*g - g + 6*g**2 - 2*g - 54 + 14 - 10. Let q be z(11). Calculate the greatest common factor of 40 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -q**6\/360 + q**5\/60 + 7*q**4\/24 - 25*q**2. Let b(v) be the second derivative of h(v). What is b(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -143023444 (base 6) in base 11?\nAnswer: -172aa19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 4*v = -22, -5*b + 3*v = 2 - 0. Let y(g) = 3 - b*g + 2 + g. List the prime factors of y(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1521 (base 13) in base 5?\nAnswer: 44234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.6095nm in meters?\nAnswer: 0.0000000026095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -10\/9  (b) -2  (c) -3  (d) 2  (e) -20  (f) -6  (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*168\/1120*2\/((-48)\/3160)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*o + 10*o + 290. Let r = 31 - o. Suppose -3*t + 5 + r = d, -4*d + 2*t + 28 = 0. Solve -d + 3 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 0. Calculate the remainder when (12\/(-8))\/(s\/(-2)) is divided by (-9)\/(162\/45)*(-4)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = r - 2. Let x(c) = c**2 - 5*c - 3. Let i be x(6). Suppose -r*p + 4 - 7 = 3*w, -i*p = 2*w - 1. Calculate the remainder when p is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 7:31 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 0.573.\nAnswer: 0.2292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.01 and -37.91.\nAnswer: -114.1091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 + 13*o + 14. Calculate s(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102120022212 + -201220?\nAnswer: -102121001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -10*f**3 - 2*f**2. Let w be j(-1). Suppose -4*r - y + 7 = -0*y, -r + y + w = 0. Suppose -k + 125 = 2*p - 0*p, -r*p + 490 = 4*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -23*c - 22. Suppose 7*u = 2*u - 50. Let p be h(u). Let b = 371 - p. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*x = 10437, -525*x + 521*x + 17396 = 5*t. Does 24 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 4) + (9 - (3 - -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 + -12. Let w be (-19 + 3)\/(-4) + g. Solve -w*j + 9*j = 15, -j = 5*v - 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 379, 1476, 3297, 5836, 9087, 13044, 17701?\n\"Answer: -f**3 + 368*f**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2\/25 + 121\/50. Let l be 8\/12*3\/2. What is the third biggest value in l, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*d**3 - 9332*d**2 + 37376*d - 37392.\nAnswer: -4*(d - 2)**2*(d + 2337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.03 and -6.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 129051414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -117*n + 4697. Calculate the remainder when 1222 is divided by c(40).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/14*91\/(-39)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12781762199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 10:55 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 1399.4 to the nearest 10.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*f + 7. Calculate the common denominator of 3\/f - 248\/220 and (-2)\/3 - (-254)\/(-12).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 + 5*q + 2. Let m be k(-5). Let s(g) = 26*g + 783. Calculate the remainder when s(-28) is divided by m*-1 + (-48)\/(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -72, -124, -186, -264, -364, -492, -654?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 860560 divided by 5.\nAnswer: 172112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of -k**4\/24 - k**3\/3 + 4*k**2. Let x be j(-6). Suppose 8*q = x*q + 64. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 19*b**2 - 12*b - 6. Let k(h) = 60*h**2 - 34*h - 17. Let z(r) = 6*k(r) - 17*n(r). Let p(d) = -3 - 3*d + 3. Determine z(p(j)).\nAnswer: 333*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/48*-6*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 105*v**2 - 2*v - 15. Let t be k(5). Round t to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41616189229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 0.30831577\nAnswer: 0.61663154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -95 times 5696750\nAnswer: -541191250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1507 + 46737?\nAnswer: 50446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2651 less than 2651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9564*s - 216 - 9562*s + 19124*s.\nAnswer: -2*s - 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 24112306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 + 9. Let x be -1 + (q + 10 - 2). Let d(n) = n**3 - 5*n**2 + 6*n + 1. Let v be d(x). Solve 1 + v = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m - 1 + 1)*(-3*m**4 - 687*m**3 + 687*m**3 - 6*m**2).\nAnswer: 3*m**5 + 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 86 + -14. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/5)\/((-16)\/(-60)*-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 328*d - 2505. Give c(7).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 22*l + 9. Let b be m(-1). Let n(c) = 2*c**2 + 29*c + 44. Let g be n(b). Solve 0 = -3*k - 2*k - 4*y + 30, 2*y = g*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 4*z**2 + 4*z - 2. Determine j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -633 - -639. Suppose -3*o = 2*u - 20, -2*o - g = 2*u - 22. Solve -2*b + o*c - 16 = 2*b, 10 = 2*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -9*o + 3 + 2*o**2 + o**2 - 11*o**2 - o**3 + 0*o**2. Give g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**4\/5 - 6678*j**3 + 278756412*j**2\/5 - 557379272*j\/5 = 0. Calculate j.\nAnswer: 0, 2, 16694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 70650913 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/749826 and 83\/1848.\nAnswer: 2999304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -20*l + 505. Give d(30).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 338 and 6941168?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**3\/3 + 40*k**2\/3 + 1666*k\/3 - 2392 = 0. Calculate k.\nAnswer: -23, 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1296 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36, 46, 64, 90?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, a: 4, v: 2, b: 1, e: 3}. What is prob of sequence vb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -5*b**3 + 6*b + 10. Let o(m) = -4*m**3 - m**2 + 6*m + 9. Let d(c) = 4*o(c) - 3*t(c). Let p(v) = 4*v + 3. Let q be p(-2). Give d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 212*8.\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 729 divided by -5\nAnswer: -729\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -521794 in 5, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -25*j**4 - 3890*j**3 - 154365*j**2 - 234080*j + 118580 = 0.\nAnswer: -77, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -110, -205, -356, -557, -802, -1085, -1400, -1741?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -153\/24928750 and -1\/543900.\nAnswer: 149572500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3*q - q - 12 = 0, 4*q + 10 = -2*p. Let d = 13 + -8. Suppose n = -1, -n - d = 2*v - 0*n. Which is bigger: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {j: 3, q: 3, w: 3, n: 1, f: 8, b: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - (-192)\/(-9) - (-2)\/(-3). Calculate the least common multiple of 3 and m\/6*(-13 + 5 + 5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f + 11. Let m be o(-7). Let i = -21 + 23. Find the second derivative of -6*d + 2*d - i*d + d + m*d**5 wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 9*o**2 + 5*o - 5. Let y(k) be the third derivative of -11*k**5\/30 - k**4\/2 + 2*k**3 + 44*k**2 + 4*k. Calculate 12*x(j) + 5*y(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t - 1. Let v(o) = -o**3 - 2*o**2 + 9*o + 9. Let n be v(-6). Let q be 48\/22 + (-18)\/n. Let x(h) = 4. What is q*z(j) + x(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -0.2  (b) -2\/11  (c) 274  (d) -4  (e) 7  (f) 0.32  (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {j: 2, z: 4, k: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h + 4. Let s(w) = 7*w - 8. Let d(g) = 6*r(g) + 3*s(g). Let j(f) = -560*f**2. Calculate j(d(k)).\nAnswer: -5040*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(128) - (-1*sqrt(22))\/sqrt(11).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 176882 - 176882 - 283*p**3.\nAnswer: -283*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 4*k**3 - 44*k**2 = 0?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 689*z - 686*z = 81. Let j be (-2)\/3 + -3*44\/(-36). What is the highest common factor of j and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*h**5*t - 9*h**3*t + 3*h**2*t + 46*h*t wrt h.\nAnswer: -420*h**2*t - 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 29 in -3\/26, 45\/8, 10.3?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 114121*k**4*m**3 - 2*k**2*m**3 - k**2*m**2 + 1883*k*m wrt k.\nAnswer: 2738904*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2138, 2139, 2140, 2141, 2142, 2143?\nAnswer: 2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + 11 + (-29 - 27).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6285\/97469 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 141\/(-611)*(-1)\/7. Let f = 137\/1365 + x. What is r in -4\/15*r**2 + 0 + 4\/15*r**4 - f*r**5 + 0*r**3 + 2\/15*r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 627773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 8:31 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0398917 to three dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209662?\nAnswer: 2, 104831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eieieiioiloiiieeeeei. What is prob of picking 1 i, 1 o, and 1 l?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = 5*d - 5, 2*d - 225*y - 40 = -228*y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8668.4 + -8635. Is -1 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*j - 93*j - 27178 = -15*j + 32*j for j.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/21*(-6)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1181 + 6?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88000, -176006, -264012, -352018?\nAnswer: -440024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.95 - -0.95. Sort u, 2, 4, -0.3 in descending order.\nAnswer: 4, 2, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101111110100011 - -101?\nAnswer: 101111110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -11*i - 32. Let m be q(-10). What is the second derivative of 15*o**2 + m*o - 60*o + 92*o + 34*o**2 wrt o?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 5*z**2 + 6. Let i be j(5). Suppose -2*a + i*a = 4*x + 612, -x = 5*a - 741. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-nine fifths of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {n: 1, b: 3, k: 1, q: 6, p: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/(g\/(g**3*g)))*g)**(-1\/28))**(-12\/5) assuming g is positive.\nAnswer: g**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r - z + 2, -6*r = -3*r + z - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 3:59 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 533099047 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2938086 (base 11) to base 8\nAnswer: 23201716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x + 1. Let j(k) = 5*k - 19. Let b(t) = 2*i(t) + j(t). Let u be b(7). Is 3 a factor of 8 - (u\/8 - 1)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1167069 a multiple of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-9)\/40*22)\/((-52)\/20 + 2). Sort -2, 2\/13, -8, i in descending order.\nAnswer: i, 2\/13, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 56 = -2*m. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/4*(-70)\/21. Suppose -o*t + p = -2*p - 16, 12 = 4*t - 2*p. Solve t*i - 2 = 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -44*r**5 - 44*r**4 + 2*r**2 - 2*r - 286 wrt r.\nAnswer: -880*r**3 - 528*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-22)\/((28\/(-10))\/7). Calculate the greatest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 56*d**2 - 2 - 58*d**2 - 2*d)*(4*d - 18 - 12 + 29).\nAnswer: -8*d**3 - 6*d**2 - 18*d + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 7:48 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 - -7. Let g(n) = -n**2 - 25*n - 17. List the prime factors of g(s).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 64*m + m**3 + 26*m**2 + 29 - 63*m - m**2. Let h be d(-25). Let t(w) = 3*w + 5. Calculate t(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2007 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r + 5. Let q(d) = -d**2 - 2*d + 10. Give -5*i(s) + 2*q(s).\nAnswer: -2*s**2 + s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.062659 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -35.4 + -8.6. Let p = 452163 + -452207.0029. Let u = p - t. Round u to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*d**4 + 3*d**4 - 2*d**4 + (10*d - 10*d**2 - 10*d)*(8*d**2 + 69 - 69).\nAnswer: -75*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 53*b + 55. Give x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7012, 7093, 7178, 7267, 7360, 7457, 7558?\n\"Answer: 2*i**2 + 75*i + 6935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 234 = -44. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.69871 rounded to 2 decimal places?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 393, 395, 395, 393, 389, 383?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 248 (base 15) in base 16?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14583, -29244, -43929, -58650, -73419, -88248, -103149?\nAnswer: -118134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h**3 - 8*h**2. List the prime factors of r(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence li when two letters picked without replacement from {l: 2, o: 4, i: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.06 - -0.11. Let u = 3 + -2.85. Let o = u - j. What is the third biggest value in 0.5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1358 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.09 and 319914.\nAnswer: 28792.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 65518.\nAnswer: 655180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -6\/11  (b) -0.1  (c) -1.9  (d) 0.2  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-12) - ((-33)\/(-2))\/(-3). Suppose -2*y + 3 = -2*q - z, 12 = 5*y - 3*q. Is y less than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-6)*-3 - (-285)\/(-150)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v + 56 - 21 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1264, 5004, 11238, 19966, 31188, 44904, 61114?\nAnswer: 79818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -2\/91, 3, -5\/2 in descending order.\nAnswer: 3, -2\/91, -5\/2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6833 - -6832.5. Let t = 0 + -0.3. Which is the fourth biggest value?  (a) 12  (b) t  (c) 4  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -998 + 993 = 5*i + 3*t, 2*t + 26 = -9*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 3554.\nAnswer: 10662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 5 + 14*k + (k + 2 - 2)*(-2 + 2 - 1) + 0*k - 3*k + 4*k)*(88 + 11 - 9) to the form o + u*k and give u.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 30806 + b5b?\nAnswer: 31563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -18, -35, -64, -105, -158, -223, -300?\n\"Answer: -6*q**2 + q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -3\/5 + 3\/5*u**3 - 3\/5*u + 3\/5*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -0.5, -16, -0.02, -2 in decreasing order.\nAnswer: 5, -0.02, -0.5, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 53*z**2 + 51*z**2 + 52*z**2 + 95*z**2 in the form f*z**2 + r + b*z and give f.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 36  (b) -1  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-12)\/(-2))\/(-3) - 1. Let s(v) = -v + 9. Let u be s(8). Let x be u\/(q\/3*1). Which is the biggest value?  (a) 1  (b) x  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5  (b) 0.4  (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -62.5516691 rounded to two decimal places?\nAnswer: -62.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278233 is divided by 46353.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 10:37 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 190 + -124. Suppose 0 = -3*z - 4*p - 28, -6*p = 4*z - p + 36. Let n = z - -10. Calculate the greatest common divisor of n and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -7662, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28\/(-126)*((-630)\/(-217) - 3).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 2)*(t + 2*t - t) + (-8 + 4 + 7*t + 2)*(6 - 1 - 2).\nAnswer: 19*t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -4*k**5 - 4*k**4 + 20*k**3 + 4*k**2 - 32*k + 16 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 64117 divided by -11\nAnswer: -64117\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/36)\/(5 + -8) + (-43)\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/7, -2, 1\/3, -0.12 in descending order.\nAnswer: 1\/3, -0.12, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 112?  (a) -1\/2  (b) 5  (c) -0.0441  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 331879141.\nAnswer: 11, 1033, 29207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(0 + sqrt(76) + 2 + -2 + (sqrt(76) - (sqrt(76) - (-1 + sqrt(76))))) - (4*-1*sqrt(76) - (sqrt(76) + (-5 + sqrt(76) + 0 - sqrt(76))))**2.\nAnswer: -1929 + 116*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/2 and -361989.8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -46 + 89. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 546*p**2 + 32*p - 3. What is the lowest common multiple of 10 and v(-2)?\nAnswer: 21170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:49 AM and 11:01 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2110903135 to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 193 = 140. Suppose 4*l + n - 29 = 0. Let j be (-9)\/15 - 2\/l. What is the nearest to j in -0.5, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -67 - 2 - 23*f**2 + 51 in the form w*f**2 + c + p*f and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 44?  (a) 191  (b) -0.3  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 19 = q - 17, -4*h + 4*q + 128 = 0. Suppose 3*o - o = 22. Solve o = -m + 2*j, 5*m - 3*j + 0*j + h = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xokix. What is prob of sequence xxio?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304598 is divided by 50764.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5998.71 millimeters to centimeters.\nAnswer: 599.871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22585 is divided by 211.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*a + 15 = -17*a. Suppose -a*h + 3 = 3*g, -5*h - 4*g = -2*g - 7. Let p(t) be the first derivative of 2*t**2 + 3*t + 8. Calculate p(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 246 + -247.1. Let b = -1.0821 - q. What is b rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 3:11 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 0*c + 0*c)*(4 - 174*c + 175*c + 2).\nAnswer: -c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -6. Suppose -k*m - 20 = 3*m. What is the second smallest value in 2, 3, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 + 19 = -8*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10541 divided by 8991?\nAnswer: 10541\/8991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 10*g**2 - 716*g - 123. Calculate the remainder when 7916 is divided by w(72).\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-6)\/(-2))\/18)\/((-1020)\/408*(-2)\/(-10)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**2)**(2\/13)*(s**(-4)\/s)\/(s\/(s**(-1\/4)*s)))**26)**(-3\/7) assuming s is positive.\nAnswer: s**(771\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 938 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 14) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.001 in 0.2007, -3\/2, -5?\nAnswer: 0.2007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3905458913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 6*d - 10)*(4 + 2 - 4) + (0*d + 3*d - 2*d)*(1 + 0 + 0) + (2*d - 3 + 3)*(-3 - 1 + 2) + 2*d - d + d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {b: 1, a: 12}.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19756*l**3*z**3 + 4*l**3 - 23424*l**2*z**3 - 3*l**2*z**2 wrt l.\nAnswer: -118536*z**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -3*l - 3*l + 5*l. Let k(v) be the second derivative of -v**3\/6 - 32*v. What is k(g(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*s**4 - 5724749*s**3 + 2*s - 223029434 wrt s.\nAnswer: 28*s**3 - 17174247*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 + 23. Suppose -j*s + 6 = -0*s. Solve 0 = -x - s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 3 - i - 8 + 0. Let b be x(-4). Suppose -5*g = -4*k - 35, g + 3*k - 3 + b = 0. Calculate the remainder when 7 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4800025667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 489\/194 + -2\/97. Let h be (-7)\/2 + 3 - 10\/(-4). What is the common denominator of 4 - (h\/5)\/(16\/1540) and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v - 1. Let a(i) = -12*i**2 - 9*i + 9. Let s(b) = -51*b - 305. Let h be s(-6). Give h*a(r) + 9*q(r).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18715480.\nAnswer: 2, 5, 7, 66841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 78371402, 78371405, 78371410, 78371417, 78371426, 78371437, 78371450?\n\"Answer: l**2 + 78371401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {h: 10, x: 9}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -80 equal to -550\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -14. Let i = -6607.163 - -6610. Let f = 0.163 + i. Which is the biggest value?  (a) 4\/9  (b) f  (c) -0.1  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 5*z**2 + z + 2. Determine k(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 6*y + 46 = 4, 2*a + 10*y - 34 = 5*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3683751965.\nAnswer: 5, 167, 4411679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 3 + 9. Suppose 4*d = -d. Suppose -3*q + 9 = -5*z - 23, d = -4*q + 2*z + 24. What is the smallest common multiple of q and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24422694?\nAnswer: 2, 3, 4070449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.22575201 * 0.4\nAnswer: 0.090300804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 1 - 0. Let o(q) = 5 - 1 + d - 7*q. Let k be o(-4). Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -190795\/8874 - -2\/4437. Let u = -10517\/6 + 1768. Find the common denominator of z and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 1:38 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -12*j**3 + 5*j**2 - 5*j. Let b(w) = 13*w**3 - 6*w**2 + 6*w. Let r be (-3 - (-13 - -5)) + 1. Determine r*o(g) + 5*b(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35779452 by 3.\nAnswer: -11926484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 37 - (-11 + 6 - (-2 - 16))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = 5*q + 5, -4*q - 231*l = -258*l - 123 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - w = 0. Suppose 6*x - 27 + 3 = w. Let q be ((-4)\/6)\/(x\/(-18)). Solve o + 8 = q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61135 is divided by 2050.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6732 = 76*u - 43*u. Calculate the greatest common divisor of 24 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/34, -0.0674347, -4\/3?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -5, -1, 1.\nAnswer: -12, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3934, 7924, 11912, 15898, 19882?\n\"Answer: -z**2 + 3993*z - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 921.5723 rounded to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -99*z + 2. Let v be a(-1). Let l = 152 - v. What is the highest common factor of 34 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + sqrt(24)\/sqrt(2)).\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 2*y - 4 = 0, m = -5*y + 11. Let z(i) = -i + i - 4*i + i - m. What is the units digit of z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 107308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10187939413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 + 0 = 0. Suppose -l = -a, -l - w - 8 = 2*a. What are the prime factors of (-3)\/((-12)\/(-50))*l*2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 j when three letters picked without replacement from {g: 3, j: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -4*q**2 - 4*q. Calculate f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 74165979 greater than or equal to -9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -101010010010011110001 (base 2) to base 8\nAnswer: -5222361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of m**4\/4 + 7*m**3\/3 - 5*m**2\/2 - 7*m + 2. Let l be q(-6). Suppose 4*r + 38 + 8 = 3*j, 2*j = -3*r + l. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -201 (base 10) to base 13\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -240, 113, 476, 855, 1256, 1685, 2148, 2651?\nAnswer: 3200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.23 - -0.16. What is w rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 19*l**2 - 3*l + 2. Let a be y(3). Suppose -2*d - 10 = -a. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108 a factor of 51231905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8027 is divided by 321.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*j + 10*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/((-63)\/70))\/(7\/168*6).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.09 + 0.04. Let h = 152.3 + -152. What is the smallest value in c, h, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1307 + -7993\/6. Suppose -4*m - 520 = 2*v, -4*v - 2*m - 1134 = -64. Find the common denominator of ((-1 + 0)\/(v\/(-410)))\/(-1) and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.3, 0.01, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33072 divided by -16536.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the third derivative of j**9\/56 - j**5\/12 + 4*j**2. Find the third derivative of h(i) wrt i.\nAnswer: 1080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3894723 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 + 1232*y**2 - 11182*y + 214016. Calculate a(1223).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*o - 9*o = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -72\/11*j**3 - 2\/11*j**4 - 578\/11 - 716\/11*j**2 - 1224\/11*j.\nAnswer: -2*(j + 1)**2*(j + 17)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.993694 litres to millilitres.\nAnswer: 4993.694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 4*z - 9. Let y(w) = -4*w + 8. Determine -5*h(s) - 6*y(s).\nAnswer: 4*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -574, -572, -568, -562, -554, -544?\n\"Answer: x**2 - x - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -35, -101, -167, -233, -299?\n\"Answer: -66*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o**2 + o + 2. Let p(a) = 5*a**2 - 2*a - 4. Let d(y) = -p(y) - 2*t(y). Let f(u) = -3*u**2 + 13*u + 2. Calculate -d(h) - f(h).\nAnswer: 2*h**2 - 13*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 117485639 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 315 divide 13152896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 684*x + 347468. Give q(-508).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 200 = 5*g, 3*g - 3*a - 125 = -a. Suppose g*v + 5508 = 59*v. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 6:17 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {d: 1, j: 4, u: 10, p: 1, c: 3}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -76368 or -76366?\nAnswer: -76366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-10))\/(336\/32)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r + 121 - 121.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 30421 - 29401. Is c a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 470 and 13724?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 13*i - 36. Let z be v(8). Factor 16*t**2 - 2*t**5 + 357*t**3 - 349*t**3 - 7*t**z + 3*t**5.\nAnswer: t**2*(t - 4)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 12*l. Let z(b) = 1577*b**2 - b + 7. Calculate c(z(v)).\nAnswer: 18924*v**2 - 12*v + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 8 + 1)*(11*a + 8*a + 10*a)*(-7*a + 4*a + 8*a).\nAnswer: 1015*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*r - 5*k = -17*r + 443, -k = -5*r + 538. What is the second derivative of -81 - 226*h + 25*h**4 - r*h**4 + 81 wrt h?\nAnswer: -984*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1186 - 422 + 482 + 19*h**3 wrt h.\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k + 5. Let p(c) = 2. Let h(y) = 6*m(y) - 15*p(y). Let x(w) = -10*w. Determine h(x(l)).\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - 0 - 25\/2. Which is the closest to -1\/4?  (a) -5  (b) t  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2719273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o - 13. Let l be b(21). Solve -4*y + 4*r - l = 0, -3*y + 5*r = y + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 + 35*y - 13. List the prime factors of c(25).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 3*x + 5. Suppose 7*u = -1775 + 4. Let y = u - -285. What is the highest common factor of y and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 633*m + 917*m - 2246*m + 946*m.\nAnswer: 250*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k*k\/k**(-3))\/k)\/k**(1\/2))\/(k**(-1)*k)**(-8))**(-3\/26) assuming k is positive.\nAnswer: k**(-21\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + 1*sqrt(1539)*-2 + 5 + sqrt(1539) + sqrt(1539) + -1 + sqrt(1539))**2.\nAnswer: 504*sqrt(19) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) + -2 + 4 - sqrt(396))**2 - ((-2 + sqrt(396) - sqrt(396)) + 4 + sqrt(396))**2.\nAnswer: -396 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -4. Let b = a - -4. Suppose 0 = i - b*i - 12. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12358, 49403, 111146, 197587?\nAnswer: 308726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26541 and 99283.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.225 - -0.275. Which is the third smallest value?  (a) -5  (b) o  (c) -2  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 71*m**2 - 195*m**2 + 72*m**2 + 15*m + 4 - 2*m + 51*m**2. Give d(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 4*k - 20, -2*k = -0*k - 4. Let q = 4 + a. Suppose -3*f - 2*f + 55 = q. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -49\/88 and -3\/145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -119*l**2 + 49*l + 2. Let g(p) = -235*p**2 + 97*p + 5. Let s(b) = -2*g(b) + 5*w(b). What is the second derivative of s(h) wrt h?\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 532828, 1065685, 1598542, 2131399?\nAnswer: 2664256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + d - 4075 = -5*x, 12 = 3*d. Let o be ((-3)\/(-9))\/((-19177)\/(-2397) - 8). Suppose -3*m + o = c, c + 3*c - x = -3*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-994281)\/(-785) + (-6)\/10 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -0.23.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f. Let x(z) = 7*z. Let u be (5 - (5 - -2)) + (9 - -2). Let s(q) = -19*q + 25*q - u*q. Let p(i) = -10*s(i) - 4*x(i). Give 9*k(l) + 4*p(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (14 - 2) + 720649 + 6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of 4*d**2 + 17\/8*d**4 + 0*d + 22\/3*d**3 + 0. Find the first derivative of r(w) wrt w.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67183.\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -8864169.2 rounded to the nearest 1000?\nAnswer: -8864000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 38 = -5*t. Suppose -2*l + 5*p = 4, 3*l - p - t + 3 = 0. Let y = l - -9. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12028983 (base 10) in base 2?\nAnswer: -101101111000110000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 1 - 4*u - 2*u**2 + 7*u - 3*u**4 + 3*u**2 in the form z + j*u**3 + q*u**4 + k*u**2 + a*u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 11000?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31 or 528\/17?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38) - sqrt(1368)*6)\/sqrt(2) - sqrt(209)\/(sqrt(77)\/sqrt(7))*6.\nAnswer: -41*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -5*r**2 - r + 4. Suppose -8*z - 4 = 20. Let t(w) = -6*w**2 - 2*w + 5. Determine z*t(v) + 4*y(v).\nAnswer: -2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2\/335 + -1021\/2680. Let u(n) = -n**2 + 27*n - 30. Let s be (-33 - -3)*-1 - 4. Let p be u(s). What is the third biggest value in 0.06, c, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -4*n - 18. Suppose 7*y - 4*y = -n. Let i(z) = -z**2 - 7*z + 7. Let r be i(-8). Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/4?  (a) 1\/12  (b) -10\/17  (c) -2\/39  (d) 2  (e) 0  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 62\/22 + (-2)\/(-11). Suppose z - 15 = -5*n, 4*z = 3*n - z + 19. What is the derivative of -3 - n*g**2 - g + 4*g - j*g wrt g?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00088574 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 798\/10 + (-44)\/55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -563, -564, -565, -566, -567, -568?\n\"Answer: -h - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 75\/60 - -4*(-2976)\/512?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 21?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 w when three letters picked without replacement from waeeawcawaaaeaaeaa?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-5 + -6*(sqrt(343)*3 + -5 - 3*(sqrt(343) - (sqrt(343) - sqrt(343)*-3))**2))*1.\nAnswer: -630*sqrt(7) + 277955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 2*u - 11, 2 = -5*k + 7*k. Let v(y) = -12*y. Let i be v(u). Let f = -84 - i. Solve -3*a + f = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/3)\/t)**(-2\/27)*t**4*(t*t*t\/t**(-1))\/t*t*((t**(-8)\/t*t)\/t*t**9*t)**(-27) assuming t is positive.\nAnswer: t**(-1535\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, l: 4, e: 5}. What is prob of picking 3 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-143)\/(-10) + 18 - 32.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -6 + 8 - l**3 - 7*l**3 + l**3. Let k(x) = -21*x**3 + 7. What is -2*k(p) + 7*z(p)?\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -267357 (base 9) to base 4.\nAnswer: -213300232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -96.85 - -96.64745. What is l rounded to 3 decimal places?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -11. Suppose 3*z + 3*x + 2*x = -25, 4*z = -4*x - 20. Suppose 4*p - 148 + 8 = z. Sort j, p, -0.3.\nAnswer: -0.3, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21 and 3129?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l - 32. Give g(-40).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -579 greater than -572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 49653004 + -1.71\nAnswer: 49653002.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/10*1\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k - k + 32*k**2 - 33*k**2 - 19*k**3 to the form n*k**2 + b*k**3 + u + x*k and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1260 + -1227. Let y = 0.02 - -0.68. Let j = -1.7 + y. Does x = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-4*sqrt(1584))**2.\nAnswer: 912384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 0*w - g = 5, 0 = -3*w - g + 20. Suppose -4*z = w*a + 1843, 4*z + 4*a - a + 1853 = 0. Let l = z - -882. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12.343 - 12.3428402. Round l to 6 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zr when two letters picked without replacement from {p: 4, d: 1, r: 1, i: 1, z: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 2 - ((-59 + 23 - -14) + -8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c**3 + c + 5. Let p(x) = -102*x**3 + 90*x**2 + 426*x + 255. Let s(a) = 21*b(a) + p(a). Let s(k) = 0. Calculate k.\nAnswer: -24, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7\/(-42) + (-8)\/16. What is the closest to -1\/3 in -1, k, 2\/17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-2))\/((-3)\/(-228)). Let x be (-2)\/(-4) - z\/(-4). Let n be 3\/x + 2\/6. Solve n = -3*i + 6, u - 3*i + 14 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 + 15 - u)*(-1 - u + 1 + 0*u + 0*u + 2*u - 5*u + 3*u + 3*u + (4 - 1 - 2)*(-2*u - u + 5*u)) as o*u**2 + j + b*u and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*r = -22, 0 = -4*y + 3*r - 42 - 10. Let d = 12 + y. Let o = d - -21. What is the remainder when 67 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 627*a - 120 = 619*a. Sort 4, -2, -3, a, -5.\nAnswer: -5, -3, -2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 33\/(-6)*(0 - 2). Suppose 3*a = 5*a. Suppose a = -0*h + h - 5*o - 41, h - f = -o. What is the highest common divisor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 126*s**5 + 6*s**4 + s**2 - 9*s + 4.\nAnswer: 7560*s**2 + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + -3. Let j be 22 - 2\/(-2) - -5. Let o = j + s. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-11 + 1 + 9 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7871741*r**2 + r + 925148?\nAnswer: 15743482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(7)*1 + (sqrt(7) - (sqrt(35)\/sqrt(5))**2) + 0 + -5 + -3*sqrt(448).\nAnswer: -28*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 2)*(-2 + 1 + z - 2) + (4 - 5 + 0)*(0 + 0 + 2*z) + (3 + 2 - 7)*(-49*z + 2*z - 4*z) in the form r*z + q and give r.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 + -19.5. Which is the second smallest value?  (a) 0.5  (b) 2\/7  (c) v  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p - 1. Let o be u(2). Suppose -o = 2*j - 5. What is the third derivative of 4*w**2 + w**4 - j*w**2 + 0*w**2 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*(f\/(f**(1\/4)\/f))\/f*f**(-8)*f)**(11\/8)*((f**(1\/4)\/f)\/f*f)**(-3\/7)\/(f\/(f\/(f\/(f\/(f*(f*f\/(f*f*f**0\/f))\/f)))))**(8\/3) assuming f is positive.\nAnswer: f**(-5503\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 6. Let s = -0.245 + -0.055. What is the third smallest value in 1\/4, u, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = 11*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*x**4 - 81*x**3 - 90*x**2 - 24*x.\nAnswer: -3*x*(x + 1)*(x + 4)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 6*c**2 + 9*c**2 + 5*c**2 as x + w*c + l*c**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 198804144 by 722.\nAnswer: 275352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16749 = 20*q - 11*q. Suppose 3*d - q - 488 = 0. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of m**4\/12 + m**3\/6 - m**2\/2 + 21*m. Let n(b) = -5*b**2 - 4*b + 4. Suppose -7*c = -2*c - 20. What is c*r(w) + n(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(1872)*3)*-6)**2.\nAnswer: -5184*sqrt(13) + 606672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 + 1 + 3 - -5) + 8 + -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4300.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 157347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*l - 8*l - l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 4 = 2. Let a be (-2 - -1)\/((-3)\/n). Suppose a*h = -2*h + 48. Calculate the remainder when 46 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - o + 879 = 4*o, -4*o - 1828 = 4*p. Let f = -287 - p. Let b = -10 + 25. Calculate the highest common divisor of f and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151*z - 157*z = -4032. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-84)\/(-14)*(-1)\/16)\/((-81)\/(-12))*2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -57 - -1?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -289, -339, -363, -349, -285, -159, 41?\n\"Answer: 2*y**3 + y**2 - 67*y - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-25))**(-12) assuming m is positive.\nAnswer: m**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -110 (base 4) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -x + 23, -108 = 4*d + 4*x - 120 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-11 + 20)) + 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 4*g**2 - 6. Suppose 0 = 6*k - 26 - 10. Let p(r) = r**2 - 1. Let l(u) = k*p(u) - a(u). Let b(z) = 21*z + 21*z - 22 + 22. Determine b(l(i)).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 + (7 - -4) + -13 + -2 + 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52.16 + -1.16. Let z = b - 53.5. What is z rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -115165, -115141, -115103, -115051, -114985, -114905, -114811?\nAnswer: -114703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = g + 9. Suppose 9 = 2*c + 4*z - 3, 3*c = g*z + 18. Differentiate -3*v**4 + 0*v**4 + c*v**4 + 2 with respect to v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90968*q + 217 = 90937*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8\/13 - -85\/117. What is the biggest value in -1\/10, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - 14. Suppose 2*h = -u*z + z + 43, -3*z + h + 17 = 0. Let q = 11 - z. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i and 1 a when four letters picked without replacement from xxiaiixa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -9 - 19. Let m = 87 + -82. Calculate the remainder when o is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 228.29 - 232.29. Let x be -1*0\/1 - 41. Which is the second smallest value?  (a) x  (b) g  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 649239587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 96032407752*t**2\/5 + 14900568*t + 2890.\nAnswer: 2*(219126*t + 85)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6945\/(-240) - -17 - -12. Let c(l) be the first derivative of 0*l**2 + 1\/4*l**3 - l + 12 + p*l**4. Factor c(q).\nAnswer: (q - 1)*(q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of -r**3\/3 + 3*r**2\/2 + 5*r. Suppose 4*l - 10 = l + k, k = 4*l - 14. Calculate i(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What are the prime factors of 63872275?\nAnswer: 5, 2554891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.88 + 13.98. Let h = 11 - y. Let m = h - -5.1. Sort -0.3, -0.5, m in ascending order.\nAnswer: -0.5, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {f: 2, w: 1, k: 2, d: 1, l: 1, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -202, -205, -208?\n\"Answer: -3*z - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*z + 63 - 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4985355 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -f + 3, 4*f + p - 4*p = 12. Suppose -t = -f - 14. Suppose 3*n + 9 = 39. Calculate the remainder when t is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45 - 53. What is the second biggest value in 0.2, m, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 z when three letters picked without replacement from hzpzppprhf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -161 - -283. Which is the closest to -1?  (a) -1  (b) d  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -583, -2351, -5311, -9463, -14807, -21343?\n\"Answer: -596*d**2 + 20*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.5 + -31.5. Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1096 is divided by 70.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (176419 - b**2 + 0*b**2 - 175265)*(1 - 1 - 2*b).\nAnswer: 2*b**3 - 2308*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31 - -132. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -53*m**3 - 486*m**2 - 1152*m - 3. Let c(y) = -476*y**3 - 4372*y**2 - 10368*y - 26. Let r(l) = 6*c(l) - 52*v(l). Factor r(b).\nAnswer: -4*b*(5*b + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-792)\/(-120) + -8 + 1)\/((-2)\/(-10)). What is the closest to 0 in -0.3, -11\/12, 2\/9, u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/2 or 128988678?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b. Let u(q) = 4*q. Let d(f) = -6*l(f) - 2*u(f). Suppose 0 = 2*r + r. Let y(i) = r*i + i + 3*i + 2*i. What is y(d(o))?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 77184 and 28870434?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -268934109*o**3*q**3 - 2*o**2*q**3 - 2*o**2*q - 3925*o**2 + 198*o*q**3 - 3*o wrt o.\nAnswer: -1613604654*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + r. Suppose r*m - m = -8. Let n(z) = -8 - 3*z + m - 3*z. Let j(p) = -2*p. Determine 10*j(d) - 3*n(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 207023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of -1\/12*i**4 - 1\/3*i**3 + 0 + 0*i - 1\/120*i**5 - 3*i**2. Factor b(x).\nAnswer: -(x + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 3*w + 4. Let r be k(3). Suppose -2*h + 3*h = -r. Let g = 0.095 - -0.305. Which is the third biggest value?  (a) h  (b) g  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 35 = -580. Suppose -1810*w + 1825*w + 1155 = 0. Let i = y + w. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 times -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4 - 4 + r. Let a(j) = -772*j + 1760. Let y(u) = 21*u - 48. Let p(s) = 3*a(s) + 110*y(s). Calculate 3*h(g) - p(g).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 11, -1, -354\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001784361829 rounded to 7 decimal places?\nAnswer: 0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 506 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4434 + -2052944\/463. Is -1 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.04954 and 4?\nAnswer: -0.19816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -43*s**2 - 27*s - 1. What is i(5)?\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 5*p = -3*t + 31, -3*p = -3*t + 33. Let i be ((-12)\/t)\/((-3)\/(-4)). Let r be (i + (-33)\/(-15))*5. Solve r = -2*y - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 418, -0.3, 1.5?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 + 25.9. Let m = -4 + t. Suppose -4*r - r = 0. What is the second smallest value in r, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -367482310 divided by -96655\nAnswer: 3802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -0.2, -1\/7, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyvd when four letters picked without replacement from {d: 1, x: 5, y: 3, v: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 330 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 12 - -26 - (158 + -111).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -110212 + 312203?\nAnswer: 201331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*w - w**3 - w**3 + 5*w**3 + 8*w.\nAnswer: 3*w**3 + 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 25 = 6*r. Let l = -71 + 70.5. What is the nearest to 2\/7 in l, r, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 5  (b) 0  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (8 - 8)*1\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 607*m**2 + 1. Let n(a) = -206*a - 191*a + 399*a. Give n(j(k)).\nAnswer: 1214*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*n**3 + 295*n**3 + 132*n**3 - 567*n**3 - 4*n**2 + 4*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 1. Suppose 5*f - j*o = 86, 5*o + 37 = -3*f + 101. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -20. Suppose f*m - 6 = 4*m. Suppose 7*q - m*q - 10 = 0. Solve 5*z - 5*c = 15, -c = 3*z + q*c + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 30352, 31024, 32848, 36400, 42256?\n\"Answer: 96*d**3 + 30256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 28*f**2 - 33*f + 33. Let r be t(1). Suppose 3*n = -0*n + 252. What is the highest common factor of r and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3586*b**2 - 3586*b**2 + 953*b**3)*(6 - 1 - 3 + 2*b) as y + h*b**4 + m*b**2 + w*b + x*b**3 and give h.\nAnswer: 1906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 4:02 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 624.486933 minutes to weeks.\nAnswer: 0.06195306875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)\/(sqrt(11)*4))**2 + -4*sqrt(171) + 3*(sqrt(76)\/sqrt(4) + sqrt(19)) + (sqrt(19) - (sqrt(475)*-5)**2).\nAnswer: -189981\/16 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24.8 + -17.8. Are 8 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/3874830 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffnffnfnffnnnnfffff. Give prob of picking 2 n and 2 f.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 5*m + 31. What is t(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 45 - -33. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of 0*g**2 + 2 - 66*g + 7\/6*g**3. Let x(q) = -3*q. Determine x(n(u)).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1824)\/(-38) + 14)*(-6 + (-44)\/(-8)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.48764 to one dp.\nAnswer: 14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((82\/205)\/(8\/(-10)))\/((-2)\/(-52))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 59*x**2 + 3*x**2 - 23*x**2 + 74*x**2 in the form b*x + h*x**2 + c and give h.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 25\/2 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 - -29. Let x(r) = -2*r + 19. Let b be x(8). Suppose -14 = b*f - 20. Solve 0 = 4*n + f*m - 7 - 9, j = 2*n - m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3269968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 15 = -0*z. Let f(p) = -p**3 - 7*p**2 + 9*p + 7. Let s be f(-8). Put s, 1, z in descending order.\nAnswer: z, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18576.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/((x*x*x**0*x)\/x))**(-20)\/(x**1\/x)**(-13))**(-1) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -147.58 - -146.58. What is the second biggest value in -3\/5, -4, k, -350?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + 10100111000101?\nAnswer: 10100110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 114 - 70. Factor 4*r**4 + 5*r + q*r**2 + 24*r + 28*r**3 - 9*r.\nAnswer: 4*r*(r + 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 58 + -64. What are the prime factors of (1\/(-2))\/(z\/(174*10))?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4131*t + 267 = 4087*t - 569 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m**2 + 39*m + 99. Calculate h(23).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 241*w - 7. Let b be d(-13). What is b rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 0, -4*q + p = -2*q - 770. Let w = q + 30. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(3\/10)*(v\/v**2)\/v*v\/(v*v**(1\/16))*v*v**7\/v assuming v is positive.\nAnswer: v**(419\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -426 + 429. Find the second derivative of -25 + 0*s**3 + 21*s**2 + 25 + o*s**3 - 187*s wrt s.\nAnswer: 18*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26905 divided by -5381?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m. Let z be w(5). Suppose 760 = -z*h + 2*b, -3*h - 456 = -0*b + b. Let q be 2\/(-8) + (-22)\/h. What is the biggest value in q, -1\/6, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**2 + 1. Let o be t(1). Let u = 41 + -21. Let x = -51 - -55. Solve 5*f - 4*d + 18 = x*f, -4*f - u = -o*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1434*c + 831*c = 2449*c - 109872 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, q: 9, h: 3, u: 1, w: 2}. What is prob of sequence ee?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -2*n**3 - 6*n**2 + 3. Let j be w(-3). Solve -j*d - d - 16 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2397 is divided by 922.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001021 (base 3) to base 11.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = 686 - 56. Let p = c + -312. Is (-5 - -4)\/(1 + 210\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -318470171*k**4 + 422141540*k**2 wrt k?\nAnswer: -7643284104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 1083*h**4 + 2*h**2 + 695*h - 2. Let v(x) = -1084*x**4 - 3*x**2 - 696*x + 3. Let g(i) = 3*k(i) + 2*v(i). Find the second derivative of g(d) wrt d.\nAnswer: 12972*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9\/11, -2\/15, -0.1, 1 in increasing order.\nAnswer: -9\/11, -2\/15, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*y = 133*y - 156. Solve -h - y = -2*l, 0 = 2*h - l + 4 + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 886809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 20279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 55 and 92?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/(t**(6\/7)\/t))\/t*t)\/t)\/t*t*t*t**(-14))**(-35) assuming t is positive.\nAnswer: t**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 9) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h - 9. Let m be f(15). Suppose -m*t + 14 + 4 = 0. Solve 17 = -4*q + 5*k, -t*q - 2*k + 0 = 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.57 in 5, 1192.9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 49 * -0.419.\nAnswer: -20.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 16, -3 in increasing order.\nAnswer: -3, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 820170 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of c**4\/12 + 2*c**3\/3 - c**2\/2 - 2*c. Let b be h(-2). Let x = 5 + b. Solve -5*q + 2*p + 1 = 6*p, x = 3*q + 3*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 16  (b) -0.1  (c) 4  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-70)\/(-595) + (-38)\/(-34)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8 + 4)\/(1\/(-2)). Suppose 3*h - 8 = -a, -h + a - 4*a - z = 0. Suppose -2*v = v + h*o - 30, 0 = 3*o. What is the remainder when 18 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 77 - 73. Calculate the remainder when 19 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 315 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 7 = 3*m, 15*m - 2*o = 13*m - 12. Which is the third smallest value?  (a) 0.04  (b) -8\/27  (c) m  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 6*h**3 - 10 + h + 2*h.\nAnswer: 6*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 26\/(-7) - 0 - -4. Which is the biggest value?  (a) 1  (b) d  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -1450*j - 1449*j + 2901*j. Let m(n) = -445*n**2. Calculate m(i(a)).\nAnswer: -1780*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -56  (b) -0.01  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 8*w**2 - 14*w - 18. Let u(q) = -3*q**2 + 5*q + 6. Let s(z) = 17*z - 6. Let x be s(1). Let f(c) = x*u(c) + 4*o(c). Calculate f(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 405320468 divided by -4\nAnswer: -101330117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ajjj when four letters picked without replacement from jjjaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7 and -0.096?\nAnswer: 0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -87, -97, -121, -165, -235, -337, -477?\n\"Answer: -a**3 - a**2 - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -7*c**3 - 2*c**2 - c. Let u be t(-1). Let h = -4 + u. Calculate the lowest common multiple of h and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-4))\/(i\/(i**(2\/11)*i))*(i**(2\/7))**(1\/3))\/((i\/i**(1\/3))**(-16)*(i**2*i)\/i**(2\/19)) assuming i is positive.\nAnswer: i**(22160\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29 or 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**18\/v))\/(v*v**(-2\/111)*v*v)*v**(-45)\/(v*v**(-5\/6)))**(-1\/53) assuming v is positive.\nAnswer: v**(4747\/3922)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 5*i**2 - i - 8. Let k be w(-2). Solve -6*v = -k*v - 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, 24.35, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4039327g to micrograms.\nAnswer: 403932.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 6 = -5*i - 0, 3 = 2*j + 3*i. Let r be (69 - 21) + (j + 0 - 2). Calculate the greatest common factor of r and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -136*z + 1797*z**3 + 136*z + 2934*z**3 - 47*z**3.\nAnswer: 4684*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the third derivative of z**5\/210 - z**4\/84 - 2*z**3\/21 + 6*z**2. Determine t, given that c(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 30.9?\nAnswer: -12.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5\/7, -2.05, 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q = 131 - 91. Solve u = -4*o - 5, -2*u + 0 = -q*o - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51634 is divided by 3146.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/804 and 55\/201.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -10 + (-1)\/(-5) + 1104\/230. What is the nearest to -0.3 in -2\/65, 3, r?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 195*d - 507*d - 1144 = -208*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12196723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**(-16)*g)\/g)\/g**(-13))\/(g\/(g*g*(g\/(g**(-1\/16)*g)*g)\/g*g)*g*g**(-14)))**(-1\/38) assuming g is positive.\nAnswer: g**(-193\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -16*c**2. Let t(i) = 1315677*i. What is u(t(h))?\nAnswer: -27696095493264*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m - 1. Suppose 5*s - 59 = -0*s + 4*l, -4*s - 2*l = -68. Suppose -3*o = -s - 12. What is the lowest common multiple of v(6) and o?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 3*m**2 - 6*m**2 - 3*m**4 + 2*m**4 + 1 to the form n*m**4 + c*m + a + d*m**2 + z*m**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3998.173 millennia to decades.\nAnswer: 399817.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (27 - 2618\/98) + 3\/21*1097 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 188*g*h**3 + 24*g*h**2 + 34039*g + 2*h**3 - 5 wrt h?\nAnswer: 564*g*h**2 + 48*g*h + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 2*r**2 - 186 - 191 + 4*r**2 + 379 + 4*r. Let t(j) = -2*j**2 - 6*j - 3. Let f be -1*(-10)\/4*-2. Calculate f*t(p) - 8*u(p).\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 - 10*l. Let y be p(-10). Solve 3*v - v + 6 = y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -182 - -529. List the prime factors of a.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 5  (b) -5\/2  (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 - 29*m + 63. Calculate the lowest common multiple of c(-31) and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 44, 43, 42, 41, 40?\n\"Answer: -g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/17  (b) -5  (c) 2  (d) -0.02  (e) 1629\/7  (f) -0.1  (g) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(10\/3)\/(h\/(h\/h**32)) assuming h is positive.\nAnswer: h**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 1007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00038638 to 5 decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -8. Suppose a = -0*c + c + 8. Calculate the remainder when (4\/(-10))\/(c\/40) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5514000 rounded to the nearest 10000?\nAnswer: -5510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -207 + -68. Let t be 48\/22 + 50\/p. Solve -b - 27 = -5*z, -25 = 5*b - z - t*z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s - 1. Let c be ((-2)\/(-3))\/(6\/(-9)). Let n = 0 - c. Let a(u) = -12. Let p(l) = 4*l + 29. Let i(v) = 2*a(v) + p(v). Calculate n*i(k) + 3*x(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-81)\/(-18)*(-10)\/(-15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -133932 at least as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 182000350 divided by 18200035\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3115*c - 3129*c = -1190. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 173*c + 7510. Calculate o(105).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.708297 + -0.6861. What is x rounded to 4 decimal places?\nAnswer: 0.0222","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 12) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -4*p**3 + 51760*p**2 - 413888*p + 827648 = 0?\nAnswer: 4, 12932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37012 (base 8) to base 3.\nAnswer: 210210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*m - 69*m + 1610 = 0. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71295338?\nAnswer: 2, 35647669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 25c976 + -1?\nAnswer: 25c975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*a**2 + 0*a**2 + 4*a**2 + (3 - 3 + a)*(-3 + a + 3) - 2*a**2 - a**2 - 4*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11457)\/(-3762) - (-60)\/(-110)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -7*k + 5*k + 3*k - 2*k + 3. Let n(c) = 2*c - 10. Determine -2*n(u) - 7*s(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*n**4\/9 + 141668*n**3\/3 - 6097300*n**2 + 1742521300*n\/9 + 199758000 = 0. What is n?\nAnswer: -106380, -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 34*v + 125. Let u be w(-3). What is the highest common divisor of u and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 7) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -58 + 54. Let a be (-5)\/(-120)*-9*r\/6. Factor a - 3\/8*y**2 + 1\/8*y**4 - 1\/8*y + 1\/8*y**3.\nAnswer: (y - 1)**2*(y + 1)*(y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7 and -0.0353686.\nAnswer: -7.0353686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 59*d + 269. Determine y(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3*n + 3)*(264 - 264 - 36*n).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*x = 18404*n - 18400*n + 85, 4*n = 5*x + 185 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.5, 0.4, 0.3, 3\/23 in descending order.\nAnswer: 0.5, 0.4, 0.3, 3\/23, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cgcc when four letters picked without replacement from gmgmmgggccgcg?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - r**2 - 12. Let a be i(0). Let y be (-2)\/6*a\/2. Suppose -3*x - 2*d + 10 = 0, -5*x + 12 + 13 = 5*d. Solve x = 4*b - y + 22 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 4*f + 36 = 2*w, 3*w - 4*f - 40 = 0. Suppose -4*v + w = 4*v. Suppose -3*t + 713 = 4*g, 5*g - 233 - 660 = -v*t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8.33, -6\/7, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*h + 4*h**2 + 4*h + 0*h**3 - 2*h**3 + 17*h**2 + 8*h in the form m*h**2 + x + j*h + o*h**3 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*i - 2*i - 353*i**3 + 2 - 220*i**3 + 173*i**3 - i**2 - 383*i**3 to the form r*i + f + n*i**3 + p*i**2 and give n.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 45540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 4*w**2 - 7*w + 9. What is c(4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18795 and 12304460.\nAnswer: 36913380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m + 1. Let x be l(0). Let z = -6 - -2. Let d(f) = -f. Let k be d(z). Solve -k*j = c + 3, -2*j + c = -x + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o + 8. Let b be -10 + 4\/(3 + -1). Let v be a(b). Suppose v = -8*q + 5*q + 3. Solve -q - 1 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, u: 9}. What is prob of sequence up?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4*g - 35, -g + 25 = -6*g. Let v(d) = 3*d**2 - 4*d**2 - 4 - 9 + 16*d. Let c be v(l). Solve c*k = -0*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101110010110100110100100 (base 2) to base 9\nAnswer: -24770277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3970 or -3962?\nAnswer: -3962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) - (0 + sqrt(1900)))**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.09 + -0.29. Let z be ((-3)\/(-36))\/(20\/1314). Let r = z + -39\/8. Which is the closest to -1?  (a) r  (b) y  (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (0 - (5 + -8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.323+151369\nAnswer: 151369.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 534588*c**3*d**2 - c**3*d + 12915*c**3 - 11*c**2 wrt d?\nAnswer: 1069176*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8\/887 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -967  (b) 0.5  (c) -0.4  (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (410\/2255)\/(36\/(-44)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(27))\/sqrt(9) + (sqrt(3) - (-3 + 0 + sqrt(3)))**2.\nAnswer: 2*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) 1\/3  (c) -1  (d) 5\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**4\/5 - 4968*j**3\/5 + 573213*j**2\/5 + 2960262*j\/5 + 3587976\/5 = 0.\nAnswer: -1764, -3, -2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 4 - 2)*(2 + 2 - 2) - 1 + 1 - 1 - 2 + 6 - 3 - 11 - 16 + 5)*(3*y + 3*y - 5*y)*(-7 + 1 + 4).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-6)\/(-12))\/(3\/6)*-5. Let f(n) = -2*n**2 - 9*n - 4. Let r(p) = p**2 + 5*p + 2. Let k = 636 + -639. Determine k*f(s) + q*r(s).\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5576 - 3406. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 146438 (base 15) to base 13.\nAnswer: 285605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 10. Let f(p) = -4*p + 2 + 3*p - r. Let x be f(-3). Solve -w + 20 = x*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59951603 is divided by 29975800.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + c + 3117 = -1879, -2*g + 3339 = c. List the prime factors of g.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 46708552*i**2*k - i*k**2 + 370084*k**2 - 17*k + 1 wrt i.\nAnswer: 93417104*i*k - k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -6607 + 407\nAnswer: -6200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -3*h - 4*s, -2*s = -h + 3*s + 28. Suppose -5*u + 632 = -h*u. Suppose 3*x = -x + u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 54 - 30. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 590.2707011 rounded to 1 decimal place?\nAnswer: 590.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -20*v**2 + 45*v**2 + 23*v**2 + 44*v**2. Let p(c) = c**2. Determine m(p(l)).\nAnswer: 92*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -8*y - 36. Calculate the remainder when 97 is divided by o(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -199*w + 197*w + 136 = 0. Calculate the remainder when w is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6723*x - 3415*x - 3462*x + 35)*(6*x - 3*x - 2*x).\nAnswer: -154*x**2 + 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7355*g**2*t**3 - 88669*g**2*t**2 - 2*g**2*t + g*t**6 wrt t.\nAnswer: 44130*g**2 + 120*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*p - 5*p + 0*p)*(0*p + 4*p - 9*p) - 4 - 3 - 4*p**2 + 0*p**2 + 2 - 2 + 2*p**2 to q + w*p + j*p**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 243*j + 7507. Calculate t(-31).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(120) - sqrt(120) - sqrt(120))\/sqrt(12))\/(4*sqrt(8)\/sqrt(4)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c. Let t(y) = 9*y**2 - 57. Give t(q(g)).\nAnswer: 36*g**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 - 1 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1685, 3, 7, 5, 195 in decreasing order.\nAnswer: 1685, 195, 7, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i + 16. Let n be j(13). Let c be (21 - n)*2\/6. Suppose -5*z + c*z - 5 = 0. Solve 0 = -z*s + 2*o + 5, -s + 32 = 3*s + 4*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -4  (c) -3  (d) 0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9208 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -27 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1009449 divided by -63?\nAnswer: 16023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100101 (base 2) to base 8.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 6*k + 14. Let x be t(-11). Let b = -31 - x. Let o = 30 - b. What is the highest common divisor of o and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -890935.3 and 6.7.\nAnswer: -890928.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lkll when four letters picked without replacement from kkklkkkkkkkllklllkl?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/2*630\/1890?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -6, 1\/5, 14\/131, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 894*m**2 + 6715*m**2 - 33 - 721*m**2 + 1674*m**2 + 32.\nAnswer: 8562*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1.065 times 3.52\nAnswer: -3.7488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*z + 110 = 0. Let s = z - -25. Suppose d + d + s*y = 199, -3*d + 297 = 3*y. What is the greatest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 11:41 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5301 + -2919. Suppose -6*c = -c - 2*h - o, 0 = 4*c - 5*h - 1892. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 62*c**5*g*n - 6000*c**5*n + c*g*n - c*n - 3*c + 981*g*n + 72*g wrt c?\nAnswer: 1240*c**3*g*n - 120000*c**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(17 + 8*s - 17) - 5*s - s + 3*s + (3*s + s + 3*s)*(-1 + 2 + 0) + (2 - 3 + 8)*(3*s - 3*s + 2*s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4926734ml to litres.\nAnswer: 0.0004926734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5578 = 43*c - 10504. Let r(j) = 748 - 375 - c - 2*j - 6*j**3. Let y(h) = h. Let f be y(-1). Calculate r(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 1)*(-2)\/4. Let m be 8\/(-6) - (i + -2). Factor 4\/3 + m*v**3 - v**2 - 4\/3*v + 1\/3*v**4.\nAnswer: (v - 1)**2*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 105, -2\/9, -1 in descending order.\nAnswer: 105, 1, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-6))\/(16\/(-56)*7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-30))\/(6168\/25700).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -3*z**3 + z**2 + 2*z. Let d be (-2)\/(-5) - 14\/10. Let r(x) = -x**3 + x. Let i(a) = d*f(a) + 2*r(a). What is the third derivative of i(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = c - 45, 2*c + 0*c = 4*d + 36. Let n(v) = 12*v - 1 - 5*v + 5*v**3 - 4*v**3 - 11 + 10*v**2. What is the units digit of n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v + 6*v - 120 = 0. Solve -2*o = -f + v, 5*f = 5*o - o + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156*o = 89*o + 15209. Calculate the remainder when o is divided by 79.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 4*j**3 - 31*j**2 - 94*j - 19. What is the remainder when w(12) is divided by 76?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 - 15*m + 22. Let b be i(-11). Let s = 109 - b. Calculate the remainder when 83 is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*w - 5 + 9 + 0 - 7 wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3425?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n + 7 - 7 + (-5 - 1 + 4 + (-1 + 3 - 4)*(-2 + 2 - 2))*(-4 + 4 + n) to the form u + v*n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 209*m + 338*m + 107*m in the form g + r*m and give r.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 571.7 times 1.47?\nAnswer: 840.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.024, 2\/529, -0.4, -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4282?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12488 is divided by 6238?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 14876817 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 5*g = -87, 41520*z - g + 27 = 41521*z for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7141\/22 + -29369789\/90486. Calculate the common denominator of -77\/10 and g.\nAnswer: 41130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1863850 or 1863854?\nAnswer: 1863854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/5 and 370.28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -114  (b) -4  (c) 55  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 + 13409*a**3 - 13411*a**3 + 0.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1065868437617 + 2.\nAnswer: 2.1065868437617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 125 divided by -5\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 74, -22, -20, 3 in decreasing order.\nAnswer: 74, 5, 3, -20, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.5 + -2. Let a be -2 + 3\/((-30)\/(-35)). What is the nearest to a in 3, h, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2 + 7*m - 5. Let y be j(1). Find d such that 0*d + 2\/11*d**3 + y*d**2 + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -5*u**4\/4 - 4*u**3\/3 - 3*u**2\/2 - u - 6. What is the tens digit of q(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes before 9:13 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 + (23 - (0 + -36 - -20))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 766\/12 - 6\/(-36). Let p = c + -23. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide (-32 - -31)\/(1\/(-1903))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -760 - -1610. Round d to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 72768.\nAnswer: 363840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - 0. Let i = -10430\/341 + 951\/31. What is the smallest value in g, -3, i, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -3*q + 0*q - 4*q + 0*q. Suppose 2*v = -6 - 2. Does 4 divide z(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of 1\/3*o**3 + 19 + 2*o**2 + 4*o. Determine j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 5*x - 3. Let b(a) = 3*a**2 - 15*a + 13. Is b(x) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4365 - -84.9526\nAnswer: -4280.0474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 6:44 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 445 times -0.05\nAnswer: -22.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 PM and 12:54 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in 2, -19\/5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqj. Give prob of picking 1 q and 1 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a**3\/5 + 3244*a**2\/5 - 6476*a\/5 + 3236\/5 = 0. Calculate a.\nAnswer: 1, 809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - r + 12, -4*r + 127 = -5*p + 130 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**2 + 740*f - 738 = 0 for f.\nAnswer: 1, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 3:52 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41 = x + 2*b, 2*x - b = 2*b + 75. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 89 = 5*s - r, -r = -2*s + 36. Let b = -30 + s. Let k = b + 37. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 31\/2 of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 207 - 0?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 18*g - 13. Let s(i) = 37*i - 30. What is -3*s(z) + 7*w(z)?\nAnswer: 15*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*m + 0 - 5*m**4 + 0*m**2 + 5\/2*m**5 + 5\/2*m**3.\nAnswer: 5*m**3*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*o = -4*m + 80, -49 - 23 - 23 = 3*o - 11*m + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1171 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + ((-91)\/7 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g + 371 = 13*g + w, -7*g - 2*w + 866 = 0. Suppose 2*x - 63 = -x. Calculate the remainder when g is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y - 3. Let l be s(2). Suppose l*c + 0*c - 10 = 0. Let q be (432\/6)\/8 - (1 - -6). Does c = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3911 + -3911 + -1 + 31 + -1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63744 (base 11) to base 2.\nAnswer: 10110101000111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/3)\/q)**39)**1 assuming q is positive.\nAnswer: q**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -44 + 68. Suppose 0 = 2*y + 2*y - i. Let c(p) = -p**2 + 8*p - 1. What are the prime factors of c(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -10.9. Let u = w + -6. Let g be (-2)\/(-6)*(-3)\/4*-2. What is the nearest to g in 5, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t**2 + 111*t + 141. List the prime factors of m(30).\nAnswer: 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1275 and 867?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 10:36 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 4*z + 9 - 4 = 0, 2*w - 5*z - 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -2\/13, -14308, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y - 1. Let m(o) = -11*o**3 - 5*o - 6. Calculate 5*l(f) - m(f).\nAnswer: 11*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**4\/9 - 24302*f**3\/9 + 480260*f**2\/3.\nAnswer: -2*f**2*(f - 59)*(f + 12210)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of k**5\/20 + 5*k**4\/6 + 7*k**3\/6 - 13*k**2\/2 - 45*k. Calculate r(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h - 735 + 735.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 - 8. Let r be h(-6). Suppose f - 2*c = 2*c + r, -20 = -2*f - c. Suppose -3 = -5*i + f. Solve 5*b = -3*k - 11, -i*b + 5 = -5*k - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14310 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of p**3\/2 + 29*p**2\/2 + 308*p - 1. What is r(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 3360002*k**3 + 2*k**2 + k - 3. Let r be i(1). Let l be r\/3 - (5 - (-13)\/(-3)). Round l to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 983100 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zqsq when four letters picked without replacement from zabzbzsbbsqzabsaaaq.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -271 + 518. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - t - 11 = 0, 4*h + 1 = -2*t + 35. Let y be 2\/1*-1 + 11. Let b = y - h. Solve w + 1 + b = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 5*u - 6, 5*p - 6*u + u = 0. Solve p = l + 4*n - 18, -l + n = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 37155918 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t - 3. Let j be k(-3). Let p = -20 - -19. Let w = -7.6 + 8. Which is the closest to j?  (a) 5  (b) w  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/1691?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 s when three letters picked without replacement from sjqsjsjsjqjss.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -6*j**2 + 990*j - 1959. Give d(163).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (144*t - 5 - 152*t + 1)*(3 - 3 + 2*t).\nAnswer: -16*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 2.501.\nAnswer: -12.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -25 - 0. Let d(v) be the second derivative of 0 + 7\/2*v**2 - 1\/12*v**4 - 2\/3*v**3 + 2*v. Determine d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25028 divided by -6\nAnswer: 12514\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -56 - 1 - (64 + -3 + -25 + -52)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*b + 5*b + 2*b**2)*(-b + 3*b - b) + 0*b**3 + 3*b**3 + 0*b**3 + (-452*b + 964*b - 437*b)*(-2*b**2 + 0*b**2 + 0*b**2).\nAnswer: -145*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 590 = 16*d - 6*d. Solve 49 = 2*i + d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45 + u - 32 - 103 - 2*u + 42.\nAnswer: -u - 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10823\/10 or -1082?\nAnswer: -1082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -7*p. Let n(a) = -1823307*a**2 - 1. Give n(g(o)).\nAnswer: -89342043*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*n**2 + 0 + 0 - n**2.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1131880 + 1131891.99966. Let y = g - 12. Round y to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**2\/5 + 27888*f\/5 + 222464 = 0 for f.\nAnswer: -13904, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 2 = 2*d + 4*i, 4*i + 19 = 5*d. Suppose 4*o - 24 = 2*j, d*o - 3*j = -j + 16. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = m + 11, 2*j + 28 = -136*m + 140*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3787184 divided by 9.\nAnswer: -3787184\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 34\/5 of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 2*c + 19, c - f = 2 + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 48.478 * -0.362.\nAnswer: -17.549036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -420, -479, -538, -597, -656?\n\"Answer: -59*g - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (69\/(-15) + 3)\/(8\/80*-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -888 + 55239074.\nAnswer: 55238186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 161448943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 67003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15921 is divided by 15660.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1231509 - 410504 - 24*n - 410500 - 410505.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(2\/43))\/j**(-1\/3))**42 assuming j is positive.\nAnswer: j**(2324\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74428.\nAnswer: 2, 23, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -1175*b**2 - 14*b + 2279. Let q(m) = -5874*m**2 - 77*m + 11396. Let g(i) = -2*q(i) + 11*z(i). What is the derivative of g(x) wrt x?\nAnswer: -2354*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -4*a**2 - 21*a + 92. Determine x(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -130466*x**4 + x**2 - 76725*x + 5.\nAnswer: -3131184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b - 37 + 4 = 0. Suppose 2*n = -5 + 3, -3*t = -5*n - 41. Factor t*k - 27\/2*k**4 - 2 + 5\/2*k**5 - 53\/2*k**2 + 55\/2*k**b.\nAnswer: (k - 2)*(k - 1)**3*(5*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 + 49 - 32 - 61\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -1228*a**3 - 4*a**2 - 6*a + 457. Let u(m) = 2454*m**3 + 9*m**2 + 13*m - 913. Let o(y) = 4*u(y) + 9*w(y). Find the second derivative of o(s) wrt s.\nAnswer: -7416*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 4*h**3 + 7*h**2 - 10*h. Let a be f(3). What is the second derivative of 138*p - 54*p**2 - 272*p - 5 - 12*p**2 + a*p wrt p?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x - 19. Give y(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/(-26)*(230\/78 + -3 - 0).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -235*-2433\nAnswer: 571755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a - -1294?\nAnswer: 12b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 420067 is divided by 552?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1497?\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 29031332 divided by -5?\nAnswer: -29031332\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -19 + 4. Let v be (-4)\/(-14) + (-30)\/7. Sort v, f, 1 in decreasing order.\nAnswer: 1, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -364 = 238975*q - 239027*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -174441075 by -15.\nAnswer: 11629405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**8)**2*(t\/((t**(-1)*t)\/t))**1)**(2\/153) assuming t is positive.\nAnswer: t**(40\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23047 - -23899741\/1037. Which is smaller: 2\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 2334.\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -10*v**2 - 356. Let g(j) = 22*j**2 + 713. What is 13*c(b) + 6*g(b)?\nAnswer: 2*b**2 - 350","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 6 = -289*p + 286*p, -4*m + 24 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 0 = -16. Let s(c) = c**2 - 6*c - 5. Determine s(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -49. Suppose 9*d + 4*l - 211 = 4*d, d + 3*l = g. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3107 and 1261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1776 is divided by 137.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1188 + -1189. Let l = -0.4 - 2.6. Which is the nearest to p?  (a) -4  (b) -0.12  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or -6607\/151?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 55*l**2 - 3*l - 24. Let j be v(-7). What are the prime factors of (-1)\/8 + j\/32?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from azzajajujaz. What is prob of picking 1 j and 1 z?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 200, 1730.8, 0.2 in decreasing order.\nAnswer: 1730.8, 200, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 820192 - 435999. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.048 or -43\/13?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((v*v*v\/v**2)\/v)\/v)\/(v*v*v**(2\/5)*v*v))\/((v\/(((v*((v**(-5)*v)\/v)\/v)\/v)\/v)*v)\/(v\/(v\/(v\/v**1)))))**(-6\/5) assuming v is positive.\nAnswer: v**(432\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 16112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 200550241*m - 145242392.\nAnswer: 200550241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11.54 - -11.64. What is the nearest to x in -0.1, 11, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.4 - -4.4. Put 1, 20, z, -2 in ascending order.\nAnswer: -2, 1, z, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -4*j + 7. Let h be c(-7). Suppose 5*w = 10*w - h. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1557, -1534, -1465, -1326, -1093, -742, -249?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 3*a**2 - a. Let t be j(1). What is the derivative of -t - o**4 + 3*o**4 - 3 + 7 wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.9 and 706.049878.\nAnswer: 704.149878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1977 + 59*n + 154*n - 1974)*(6 - 2 - 3) + n - n - n.\nAnswer: 212*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11968 - -20409. What is the thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 244 + 74. Let p = x + -161. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 2*q**2\/7 - 2730*q - 421388\/7 = 0.\nAnswer: -22, 9577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*b**2 - 3\/4 + 5\/4*b.\nAnswer: -(b - 1)*(2*b - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5415?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1416, 3000, 4326, 5400, 6228?\n\"Answer: d**3 - 135*d**2 + 1982*d - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 6. Let d = i - 2. Let n(t) = -11*t + 1. Calculate n(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - 8*t**2 + 7*t + 4. Give b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(153) + 1 - sqrt(153)) - (sqrt(153) + 1*sqrt(153))*-3)**2.\nAnswer: 180*sqrt(17) + 5533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 436 a factor of 93868578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of -v**4\/8 + v**3\/3 + 297*v**2. Let k(q) be the second derivative of -13*q**3\/6 + 4*q**2 - q. Determine -2*k(l) + 9*p(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-60)\/16 + (-3)\/(-4). Let v(q) = -5*q**3 - 3*q**2 + 2*q + 6. Let u be v(j). Let x be (-4)\/(-18) - (-4)\/u*-6. Solve 4 = -x*y + 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 704*a**3 + 58434*a**2 + 165*a - 25. Determine l(-83).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 996*x**4 - 4819*x**4 - 1401*x**4 + 134*x**4 - 1552*x - 3595*x**4 wrt x?\nAnswer: -104220*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 273 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -4, -243 in increasing order.\nAnswer: -243, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -84943 - -127402. List the prime factors of u.\nAnswer: 3, 14153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*p + 4 + 6 - 5 to w + r*p and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 13241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuh. What is prob of picking 2 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-77)\/21 - (-4)\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 8) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 2*t + 4)*(-1256*t - 10356*t + 298*t - 1041*t) to the form z*t**2 + g + i*t and give z.\nAnswer: -24710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 137\nAnswer: 13.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2356 + 2236 = -40*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 937 and 541339569.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 382649 is divided by 8696?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, l: 4}. Give prob of sequence lww.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rprppppppppppppprr. Give prob of picking 1 r and 1 p.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 11:06 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of 3*k**5\/10 + 7*k**4\/12 + 7*k**2\/2 + k - 128. Let a(s) = -s**3 - s**2 - 1. Give -14*a(d) - 2*c(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rnn when three letters picked without replacement from hnrzmnhnnm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-4 + sqrt(14)\/sqrt(343))**2 - ((sqrt(686) + 2*sqrt(686) + sqrt(686))\/(-2*sqrt(28) + sqrt(7)))**2.\nAnswer: -98054\/441 + 24*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n + 60 = -4*a + 19*n, 0 = 4*a - 4*n + 60 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -8*j**3 + 3*j**2 - 2*j - 1. What is w(2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 9667.905 years?\nAnswer: 96.67905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5 + 4 - 2 + 5*m wrt m?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 4*c = 75, -95*i + 98*i = 4*c + 69 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + s + 1. Let n(j) = 49*j**2 + 169*j + 7. Let t(z) = 32*z**2 + 106*z + 5. Let w(o) = 5*n(o) - 8*t(o). What is 6*u(i) + w(i)?\nAnswer: -5*i**2 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 - 30*y**2 + 105*y + 238. Does 16 divide k(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11308876 divided by -323.\nAnswer: -35012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of o**3\/3 - 2*o**2 - 7*o + 1. Let f be (-5 + -40)*(-5)\/45. Let g be w(f). Put g, -5, -3 in ascending order.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from yhzzhhyyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 5*u**2 - 2*u - 3. What is s(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 14*w + 25. Is z(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32 + 3 - (-348 + 368)) + -25.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**4\/5 - 37*p**3\/5 + 116*p**2\/5 + 47*p + 84\/5 = 0.\nAnswer: -21, -1, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l**2 - 5*l. Let p(v) = 9*v**2 - 3*v - 14. Let g(u) = -p(u) + 3*z(u). Calculate g(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65, -47, -21, 13, 55, 105, 163?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25 + 12 + 13 - 4*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-983)\/(-49) + (-699 - -679))\/((-2)\/7)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166, -319, -736, -1549, -2890, -4891, -7684?\nAnswer: -11401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 25*y**3 - 2*y**2 - y. Let f(u) = -u**2 - 7*u + 10. Let l be f(-8). Let b be n(l). Let a = 317 - b. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002045 rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 10*k**2 + 2*k + 12. Let x be a(10). Suppose 3*o - x = -2*d + 4*o, -5*d + 69 = 3*o. Solve 0*j - 3*j + d = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 606 is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(1*4\/(-4)). Let w be s*4\/(-12)*-3. Solve m + w*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 1. Let n(s) = -s**2 - 9*s + 8. Let q(i) = -n(i) + 5*p(i). Let h be q(-8). Let a be 2 - 20\/50*35. Which is greater: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.093 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 - -409. Does 103 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -12, 16, 6, 56\/5.\nAnswer: -12, 1\/5, 6, 56\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-3)*204\/833. Let r = 449\/98 + q. Factor 1\/2*o**5 + 3*o**4 + 8*o**2 + 7*o**3 + r*o + 1.\nAnswer: (o + 1)**4*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 21072, 21068, 21064, 21060?\n\"Answer: -4*c + 21076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 35*m**2 + 20*m + 33. Let a be x(-6). What is the highest common factor of a and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1909564967 to the nearest integer?\nAnswer: 43699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24 - -55. Suppose -w*n + 28*n + 111 = 0. Let q = n + -37. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 12*o**2 + 189*o + 162. Let b be a(-15). Solve -10*h - b*h = -296 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 5*m**3 + 4*m**2 - 1 - 3*m**3 + 2 - 5*m**2. Let n(d) = d**3 + d**2 + 2. Let t(f) = -f**3 - 1. Let y(p) = -n(p) - 2*t(p). What is x(k) - 3*y(k)?\nAnswer: -k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 - 10*h + 4. Let w = 14923\/5 + 20019\/35. Let j = -3550 + w. Find the common denominator of j and f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + -134404?\nAnswer: -134411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*u, -2*q - 10 = 5*u - 0. Suppose 620 - 130 = q*t. Let i(j) = 10*j - j**2 - t + 89 - 3*j. What is i(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9.08 + 0.08. Let l = -5 - z. What is the closest to -1 in l, 1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49743899 is divided by 104.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 14*m**2 + 6*m - 8. Let w(r) = -r - 10. Let y be w(0). Let t be 7\/(14\/4) + y. Let s(f) = 5*f**2 + 2*f - 3. Determine t*s(b) + 3*q(b).\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*q = 92 + 300. Let i(u) be the first derivative of u**2\/2 + 26*u - 1. What are the prime factors of i(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 110*b**4\/9 + 403*b**3 + 3509*b**2 + 27296*b\/9 - 256\/3 = 0?\nAnswer: -16, -1, 3\/110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 9:32 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -252*-5.\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 201642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -k**5 + 2*k**4 + 232*k**3 - 2048*k**2 + 4608*k = 0?\nAnswer: -18, 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.12 + 0.12. Let o = -197 + 409\/2. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(420)*2)\/sqrt(12))\/(5*sqrt(15)\/sqrt(3)).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*u, 7*z - 22 = 2*z - u. Suppose 0*g + 244 = z*g. Suppose 0 = 5*a - h - g, -h + 17 = a - 6*h. Calculate the highest common divisor of 8 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-1*sqrt(60)*1)\/sqrt(12) - (sqrt(50)\/(-5*sqrt(10)) + 2 + sqrt(320) + sqrt(5)))**2*-5.\nAnswer: -2406 - 98*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.2452 minus -104.6?\nAnswer: 102.3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 84 divided by -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -1800\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1566949.\nAnswer: 19, 82471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120233041?\nAnswer: 67, 1794523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.89 - 0.09. Let c = v - 0.1. Let w = -1.3 - c. Sort -3, 0, w in increasing order.\nAnswer: -3, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 429 and 363.\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-64*h**3 + 20*h**3 - 67*h**3)*(2 - 2 + 4).\nAnswer: -444*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -4\/11, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -1\/2, -18, 0.05?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 150 and 1364050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2106 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, a: 1, h: 5, z: 2}. Give prob of sequence zdz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 172, 600, 1214, 1978, 2856?\n\"Answer: -6*x**3 + 129*x**2 + 83*x - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((((d\/(d**(-5)\/d)*d)\/d)\/d)\/d)\/(d\/(d\/(d\/d**(5\/9))*d*d)))**(-42))**(-15))**(-35) assuming d is positive.\nAnswer: d**(-144550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3461070 to the power of 1\/2, to the nearest integer?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 205493177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -23. Let m = 3.4 - 3.3. What is the closest to -2\/7 in m, r, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 10*p**2 - p + 7. Calculate n(9).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-205)\/(-3) + (-14)\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 2*r - 99 = -74, 3*f - 15 = -r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1683, -1291, -899, -507, -115?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - 3*x**2 + 2. Let d be b(-3). Suppose d*j + 0 = p - 6, -2*p = -5*j - 13. Find the first derivative of 2 - 2*w**3 + 7*w**3 - p*w**3 wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 629 + -625. Let v(m) = -6*m + 6. Calculate v(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4 + -4*(-5)\/(-75) and -37\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 * -5.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000482436 to six decimal places.\nAnswer: -0.000482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 + 10*c**2 - 12*c - 7. Let y be k(-11). Let d(v) = y*v**2 + 2*v**2 - 4*v**2 - 4*v**2. Let l(n) = n**2. Give d(l(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (6 - 3 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r - r + 2*r)*(2*r**4 + 0*r**4 + 0*r**4) + 635*r**5 + 644*r**5 - 1233*r**5.\nAnswer: 42*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5908895 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 11*m = 15. Let i(g) = g**2 + 6*g - 4. Let b be i(-6). Put m, b, -2 in decreasing order.\nAnswer: -2, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*u - 11*u - 564 + 2*u + 34 to the form r + n*u and give r.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.3  (b) 11148495  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(3 + sqrt(972) - sqrt(972)) + sqrt(972))*-6 + -5)**2 + 1.\nAnswer: -6696*sqrt(3) + 35954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-21 - -25)*((-42)\/(-4))\/3. Let u(o) = -o**3 - 2*o**2 - 141*o + k*o**2 - 1 + 126*o - 1. What is the units digit of u(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 498484.4 millilitres?\nAnswer: 498.4844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15*-88*(-4)\/(-20). Let q = 443 + g. Suppose 3*z - 60 = 48. What is the remainder when q is divided by z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3*n**3 + 2*n + 3. What is r(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, a: 4, g: 1, r: 3}. What is prob of picking 1 z, 1 g, and 1 a?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/4)\/f*f*f*f*(f\/(f\/(f**(1\/7)\/f)))\/f)**(-2\/33)\/((f\/(f*f**(-3)))\/f**(-1\/3))**4 assuming f is positive.\nAnswer: f**(-187\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 15, -5*a - 3 = -4*k + 19. Let y(n) = n**3 + 40*n**2 + 231*n - 1. Let t be y(-33). Put t, -3, a, 0 in ascending order.\nAnswer: -3, a, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*q = -4*q - 1287. Find the first derivative of -q*w**2 - 52 - 19*w**4 + 285*w**2 - 144*w**2 wrt w.\nAnswer: -76*w**3 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-15134)\/3243)\/(32\/105 - 4\/10)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 3*p + 81. Let x be n(-22). Solve 2*a - 4*o = 12, 2*o - x = 3*a + 7*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11.7*-6.\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.406 rounded to 2 dps?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187643 is divided by 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhhhhyhhh. Give prob of sequence hhhh.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - m = v - 21, -2*v - 3*m = 3. Is 1*4\/v*-33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**18\/(v*v*v**(-2\/25)*v))\/((v**(-18)*v)\/(v\/((v**1\/v)\/v))) assuming v is positive.\nAnswer: v**(852\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 213803 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*f - 6*f = -2*f - 2300. What is the remainder when 26097 is divided by f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35104 (base 6) to base 2.\nAnswer: -1001110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29959574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-639)\/27 + (1\/(-45)*6)\/((-2)\/(-20)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -5*k - 2. Let i = k - 2. Differentiate i*j + 1 - j - 2 with respect to j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 16*i - 14*i + 1346, p - 3*i = 444. Suppose 565*w - p = 555*w. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1215596738.\nAnswer: 2, 31, 19606399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-23)*r*r*r**(2\/5) assuming r is positive.\nAnswer: r**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.179556 rounded to 3 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128797.\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 29810.952 microseconds?\nAnswer: 0.0004968492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3136486.9 rounded to the nearest 10000?\nAnswer: -3140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of 13*a**4\/8 - 3*a**3 - 17*a**2\/2 + 42. Let s(h) be the second derivative of k(h). What is the derivative of s(z) wrt z?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/13929552 and 71\/468?\nAnswer: 13929552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(13) + (sqrt(91)*3)\/sqrt(7) + -2) - (-5 + sqrt(325) + (sqrt(13) - sqrt(117)\/sqrt(9) - sqrt(13) - sqrt(13) - sqrt(13))**2*-4).\nAnswer: -9*sqrt(13) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3272095?\nAnswer: 5, 23, 37, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -51, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/13 - 670*r\/13 + 95688\/13.\nAnswer: -2*(r - 108)*(r + 443)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p**5 - 540*p**4 + 24834*p**3 - 48060*p**2 + 23763*p = 0. Calculate p.\nAnswer: 0, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 921*y + 7. Let j be i(-1). Let o be j\/(-8) + 16\/(-64). Let m = o + -106. Solve -w - m + 3 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 283*g + 1329. Is c(57) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**5 + 2632*s**4 + 395496*s**3 - 801504*s**2 = 0 for s.\nAnswer: -138, 0, 2, 1452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, -2\/355, 3, -2, 2\/7, 5\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16 in 2, 0.4, 0, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 429 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5730 = -3*p, -5*p = -h - 2148 + 11698. Let m = p - -19039\/10. What is the common denominator of 113\/10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 8*m = -306. Let t = 38 - m. Let h(l) = 6*l**2 - 9*l + 2. What is the tens digit of h(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5733 - 3*o + 0*o - 5747 as z + t*o and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -102746357 and -976.\nAnswer: -102747333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/5)*l**(-1\/7)\/l*l*((l*l**5)\/l)\/l**(-4))\/((l*l**(-4))\/l**1)**(-41) assuming l is positive.\nAnswer: l**(-5409\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3807 - 1892*o - 1046*o - 184*o + 3807.\nAnswer: -3122*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 26 = -d + j, 0 = -5*d + 2*j + 156. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/(-3) + 130\/2. Suppose -2*s + r = -31. Let i = 113 - s. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 + 39*d + 64. What is the tens digit of g(36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-90)\/6*(-58)\/145.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5017\/5 + -1003. Let j be 10\/6*(-18)\/(-135). Which is the biggest value?  (a) k  (b) -3  (c) 4  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 - 9*s**2 + 17*s - 2. Give v(-10).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 + 43. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 15 = -5*a, a - 2 = x + 1. Suppose -4*y = 3 + 13. Let h be (-8 - -5)\/((a - 0) + y). What is the highest common divisor of h and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 7*p**2 - 7*p + 12. Determine h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**1)**(-1\/17)\/(d\/d**(-1\/4)*d)**(-22))**(-2\/17))**(-26) assuming d is positive.\nAnswer: d**(43706\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 - 12*f**2 - 9*f + 25. Calculate a(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 55254793547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 7*h - 2 = 0, -3*h = 45*k - 43*k - 7. Let q(t) be the first derivative of 29*t**3\/3 - 15*t**2\/2 + 9*t - 1. Is q(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 84936 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -65 - 15*m**4 - 3*m**4 - 21*m**4 wrt m.\nAnswer: -156*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 16074*x - 5320489. Calculate p(331).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.4370912 rounded to one decimal place?\nAnswer: 56.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (((-378)\/225)\/1)\/((-153)\/(-1190)*21\/9)\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28608.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3 + 2914*j**2 - 374408*j + 5248640.\nAnswer: -(j - 2780)*(j - 118)*(j - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77339015 is divided by 4275.\nAnswer: 4265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/21)\/((-1)\/(-9))*1271\/93?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 113 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 6*g**2 - 2*g + 2. Let j be k(-6). Let h = j - 11. Let d(b) = 6*b**2 - b - 3. Is d(h) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*u - 9 + 3, 3*f = 2*u + 244. What is the least common multiple of 18 and f?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 - 2*f**2 + 3*f - 4. Let u be t(2). Suppose 0 = x + 15 - 19. Let n be 5 + 1\/(-1) + x. Calculate the highest common factor of u and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**5 + 1 - 1 + y**5 + 4*y**3 - 4*y**3 + (2*y - 1 + 1)*(4*y**4 + 0*y**4 - 3*y**4) + y**3 - y**5 - y**3 + 398*y**5 + 246*y**5 - 1742*y**5 - 2.\nAnswer: -1097*y**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2\/5, -917, 2\/13, 0.04, -0.2, -3, 390?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -10.24. Let t = w + -0.06. What is the third biggest value in -3, t, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 - h**4 - h**2 + (-4 + 4 + h)*(3*h**3 + 4*h**3 - 5*h**3) + 0*h**4 - 3*h**4 - h**4 to o*h**2 + i*h**4 + n*h + c + m*h**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 - (2 + 52\/(-132)). Let z = c - -14\/11. Suppose 2\/3*h**3 - 2\/3*h + z*h**2 - 2\/3 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one sixths of a year in months?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7*27\/(-126)*-60)\/((-7)\/42*9).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1486445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of 0 + 27*t - 1\/4*t**4 - 5\/2*t**2 + 1\/20*t**5 + 5\/6*t**3. Is 7 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m**3 - 13*m**2 - 7*m + 14. Let b be t(6). Let i be b\/(-6)*108*(-6250)\/(-4). Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -25 - y**3 + 572*y + 4*y**2 + 18 - 571*y. Let r = 2 + 2. Let m be g(r). Are -17\/5 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2205717 + 317?\nAnswer: -2205400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2219096877?\nAnswer: 3, 6367, 116177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -98666654 divided by -6967\nAnswer: 14162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-520)\/819)\/((-564)\/987)*(-16 - -1).\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -84\/5 - -881\/45. Find the common denominator of -1 - (-87)\/8 - -2 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -116 bigger than -937\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 20*g + 8 + 13)*(-17*g + 93*g + 436*g).\nAnswer: -10240*g**2 + 1024*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 643.7779 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -2*x - 18, -2*c + 3*x - 2*x + 7 = 0. Suppose b + 20 = -2*k - 3*k, 0 = -4*b - k - c. Solve b = -5*w + 3*s + 29, 8*w = 4*w - s + 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -5*p**2 + 14400*p - 14395 = 0.\nAnswer: 1, 2879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12 in 4, -1\/129, 3\/5, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 247*v**2 - 2376*v + 18. Determine i(12).\nAnswer: 7074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1222 and -4719?\nAnswer: 5766618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -289*m*n - 23*m - 3*n + 12 wrt n?\nAnswer: -289*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2551*i + 8066*i + 1333 - 42 + 2995 + 5279 wrt i.\nAnswer: 10617","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -195322 (base 10) to base 9\nAnswer: -326834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -357, 356, -4.\nAnswer: -357, -5, -4, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x - 4*x**2 + 2*x)*(19*x**2 - 1 - 9*x**2 + 181*x - 9*x**2).\nAnswer: -4*x**4 - 724*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 16) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 953*h**3 + 26*h**2 - 27*h + 102 wrt h?\nAnswer: 5718*h + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 437, 872, 1309, 1748?\n\"Answer: w**2 + 432*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 9 + 3*m**2 + 1 - 2*m**2 - 2*m. Let y be n(5). Suppose -2*g - 3*g - y = 0. Which is bigger: -4 or g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 14, y: 1}. What is prob of sequence yrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 - 7*t**2 + 2*t - 9. Let f be v(7). Suppose 2*l = -l + f*p + 43, 2*p - 14 = -4*l. Let g be 0*(l\/(-2) + 2). Sort g, 5, -2\/5.\nAnswer: -2\/5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.9130391s to hours.\nAnswer: 0.00053139975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r. Let o(n) = 433*n**2. Calculate q(o(v)).\nAnswer: 866*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -774, -777, -780, -783, -786?\n\"Answer: -3*i - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**2. Let s(n) = 65763*n. Calculate h(s(i)).\nAnswer: -8649544338*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -3*t + 16. Let x be m(4). Suppose 6 = 3*z - z. Solve -4*p + 20 = x*y, z*y + 2*p + 3 = 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.03  (b) 1\/3  (c) 0.2  (d) -36\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 356 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*w - 6 - 15, -4*n = 2*w - 8. Solve -4 = -4*u, -5*m + 2*m - n*u = 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 41 + -21. Let y = a + -16. Solve -2*n + 4*n = y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 380 (base 13) to base 5.\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -699, -1362, -2025, -2688?\n\"Answer: -663*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1200 (base 5) in base 15?\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-72)\/21*(-7 + 0). Let o(w) = -15*w. Let g be o(-4). What is the highest common factor of g and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 104497, 206317, 308137, 409957, 511777?\nAnswer: 613597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 40089, -0.77 in descending order.\nAnswer: 40089, -0.77, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2416 and 4077?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/189*(-21)\/78*(-1)\/2.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 281 - 148. Suppose -10*r + b = 103. Suppose 0*u**r + 4*u**2 + 0 - 4\/3*u**4 + 8\/3*u = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.13 and 47368.\nAnswer: 47368.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 12. Suppose -t = t - w. Let d be t*(1 + 7\/(-3)). Sort d, 4, -5.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19990985 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 16) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 468.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 13\/(-3) + 4\/12. Let s be (-62)\/h - 6\/(-4). Suppose 3*j - s = 1. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 1 = -3*h. Let k(a) = 2*a + 3. Determine k(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r\/r**1*r))\/r)\/r)**(9\/2)\/((r**1\/r)\/(r\/r**(-1\/6)*r)) assuming r is positive.\nAnswer: r**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.1, 0.372, 1\/2 in descending order.\nAnswer: 1\/2, 0.372, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 38*y**2 + 21636*y - 698502. Give o(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f. Let a(w) = -189*w - 77. Let q(x) = -5*x - 2. Let c(h) = 2*a(h) - 77*q(h). What is c(t(u))?\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 22 = -2*h, 153*m - 149*m - h - 31 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 45054 (base 8) in base 16?\nAnswer: 4a2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -132309040*d**3 - 32*d**2 + 2422501.\nAnswer: -793854240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (5414\/(-4))\/((-25)\/(-10) + 122\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + j - 3*j)*(9*j - 406 + 837 - 417).\nAnswer: -9*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13365130 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1371839111.\nAnswer: 1371839111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -868 + 880. Solve o*w - 9*w = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-5 + -2 + 2 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + ((-12)\/(-3) - -1). Suppose 4*o - 1 - m = 0. Let j = 8 + o. Calculate the lowest common multiple of 8 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = -0*b + 36. Suppose -5*w - p + 2 = 0, -w - w + b*p = 8. Let y(r) = -r**2 + 2*r + 24. Let n be y(w). Solve 3*k + n = 3*m, -m + 4*k = -3*m - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58548161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 115.9 and -4.\nAnswer: 111.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -816, -1630, -2442, -3252?\nAnswer: -4060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, f: 6, z: 1, t: 4, b: 1, n: 2}. Give prob of picking 1 z and 2 n.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 1:18 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.271 - -0.071. Let m = -3.02 + 0.02. Sort 0.1, m, l in descending order.\nAnswer: 0.1, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18588 + -6254. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 a factor of 1684593092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -3\/3475240 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 659532923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -2*y**4\/3 + y**3\/3 - y**2\/2 + 2*y - 84. Let u(a) = a**2 + 4*a + 1. Let o be u(-4). What is c(o)?\nAnswer: -7","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 {k: 2, u: 4, z: 4, c: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (11 - (23 - 12))*(1 + 0 - 2). What is the nearest to 0.7 in 1\/6, 0.1, m, -28?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15590 - 186973\/12. Calculate the common denominator of p and ((-4)\/(-14))\/(-1) - 2653\/(-882).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.001 from -161493.431.\nAnswer: -161493.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -507 (base 11) to base 9.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 225 = -5*h, z - 4*h = -8*h - 51. Let t = 116 + z. Calculate the remainder when t is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - 683?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15 + (6 - 13) + -6. Suppose 0 = m + 3*n - 26, -14 = -w*n - 4. Calculate the remainder when 48 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, y: 5, n: 4, g: 1}. What is prob of picking 1 y and 1 w?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p - 12. Let a(x) = -1. Give 2*a(t) - j(t).\nAnswer: -2*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(51)*-2 + sqrt(51))\/sqrt(3).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.0494223, -3\/2 in descending order.\nAnswer: 0.0494223, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38 - 40. Sort -0.2, q, 0.5, -3\/5 in descending order.\nAnswer: 0.5, -0.2, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 2*i = 5, -5*i = -40*l + 38*l + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3012863 + -0.30315. What is s rounded to 5 dps?\nAnswer: -0.00186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96008 times -0.03?\nAnswer: -2880.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p**2\/4 - 35392329*p\/2 + 417538984014747\/4 = 0. Calculate p.\nAnswer: 11797443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 80000 and 2060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 2*v. Is (v + -3)*(-67)\/3 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2*n + 23 = -n, 5*n = 3*j - 37. Let d be ((-12)\/(-8))\/((-21)\/j). Do -1.1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oxxddoydxyxyyyy. What is prob of picking 1 o and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/((o*o**(-2)*o)\/o)))\/o)**(-31)\/((o**(-2\/13)\/o)\/((o**(-1\/2)*o)\/o)) assuming o is positive.\nAnswer: o**(1629\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/427 and 23\/1525.\nAnswer: 10675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 0 - 1\/4*i**5 - 9\/4*i + 1\/2*i**3 + i**4 - 3*i**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 46, 130, 4, -68 in decreasing order.\nAnswer: 130, 46, 4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -o**5\/2 + o**4\/2 + 3*o**3\/2 - o**2\/2 - o = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34\/5085 and -46\/45?\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 433731 + -433725. Factor -v + 3\/2*j**2 + 3*j - 3\/4*j**3.\nAnswer: -3*(j - 2)**2*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11071524 + -551148?\nAnswer: -11622672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 10:25 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70 and 49?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 AM and 12:20 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*n**6 - 2*n**2 - 4*n**6 + 8*n**6 wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43427069 a multiple of 938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of 681*z**5\/20 + 4099*z**4\/6 - 1678*z + 1. Find the third derivative of t(x) wrt x.\nAnswer: 4086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 1895798.\nAnswer: 568739.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-29)\/(145\/300)*(-18)\/225*5\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide ((-30)\/35)\/3 + 5\/((-70)\/(-280844))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 1\/10, -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*l = 157*l - 3598 + 270 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 4*z - r - 25, -4*r = 0. Suppose -i + 451 + 227 = -z*j, j + 2*i = -165. Let k = -72 - j. Calculate the remainder when k is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -637 = 2*j + 4*s - 657, 3*s = -j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -4*l - 27. Let h(f) be the third derivative of f**4\/24 + 7*f**3\/6 - 5759*f**2. Give 18*h(z) + 4*u(z).\nAnswer: 2*z + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1358 and 58200?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m**(-3)\/m)\/m)\/(m\/m**(-7\/6)*m*m))\/(m**13*m\/m**(-4)*m))**(4\/33) assuming m is positive.\nAnswer: m**(-338\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -365169247?\nAnswer: -1095507741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(68) - sqrt(17)) + 1) - (sqrt(153)\/sqrt(144) + sqrt(17))*-5)**2.\nAnswer: -3*sqrt(17) + 593\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, -102420, 5 in decreasing order.\nAnswer: 65, 5, -102420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 118 - 172. Let o = z - -373\/7. Find the common denominator of o and -40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {a: 2, g: 1, r: 1, x: 1, l: 2, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 2*z + 20 = 0, -20 + 12 = -2*p - 5*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 89548382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 491280 and 154928.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 337*j**2 + 3*j + 2. Let b be ((-2)\/(0 - 6))\/((-18)\/54). Let i be c(b). Calculate the highest common factor of 96 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -15*d - 42. Does 12 divide g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c + 10 + 17 + 2*c**2 - 26 as m + d*c + h*c**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 97 + 38 = 0. Let v = x - -40. Solve -5*d + 15 = -0*t - t, -t + 4*d - v = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (178\/12)\/(-1)*(-240348)\/40058?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 112*o - 521*o - 498*o - 2*o - 5*o + 5*o + (-2 + 2 - o)*(3 + 4 - 5) + 4 + o - 4 in the form l + t*o and give t.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1428995 * 1\nAnswer: 1428995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -126735 - -125681.47. Let s = -2851 - -1803. Let l = j - s. What is l rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 238810?\nAnswer: 2, 5, 11, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of 2*j**3\/45 - 106*j**2 + 84270*j - 864. Find w, given that p(w) = 0.\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 9 = 9. Solve 2*a - 2 = v + 13, -2*a + 4*v + 30 = p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n - 14. Let g be u(-15). Suppose -5*o + 9 = -a, 87*a - 6 = -2*o + 85*a. Solve 0 = 4*f - g, o*v + 3*f - 32 = 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(-5))\/((-28)\/(-30)). Let l be (-10)\/(1*2) + 1819\/321. Which is the third biggest value?  (a) 9  (b) l  (c) o  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from exexxxxxxexxxxxx. What is prob of picking 4 x?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 0.4  (b) -4\/93  (c) 0  (d) -0.01  (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 688 + -426. Let l = -108 + f. Suppose 5*w - 170 = -5*v, -3*v = -5*w - 24 + l. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/103805 and 42\/1105.\nAnswer: 1764685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 6*w**3 - w**2 + 3*w - 3. Is 22 a factor of p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 65 - 327\/5. Suppose 0 = 7*x + 2*x - 18. What is the smallest value in n, 1\/6, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 450 and 90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304)\/(sqrt(8)*-1) + sqrt(38) + -1*sqrt(1862))\/(sqrt(16)\/(sqrt(8)\/sqrt(4))*-1))**2.\nAnswer: 931\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*s**5*t**3 - 3*s**5*t**2 - 5*s**2*t**3 - s*t**3 - 3 wrt s?\nAnswer: 1440*s**2*t**3 - 180*s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 3*k**3 + 40*k - 82*k + 2*k**2 + 35*k to the form s*k**3 + n + d*k**2 + a*k and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -2*x**3 - 4*x**2 - 3*x - 2. What is the least common multiple of p(-2) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 210869 is divided by 4053.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*i = -82*i - 518*i - 8704 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 + 2*v + 103. Let k be j(0). Let z = k - 98. Let h = -16 - -18. Solve 0 = h*a - 4*y - 8, -y - 4*y - 40 = z*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 39 = -5*p + 30, -3*p + 70 = 5*n. Let x = 6 - n. Let y be -1 - (1 - (x + 3)). Sort 5, y, 0.\nAnswer: y, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, -29, -72?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g**2 - 3. Let f(j) = -j. Let i(v) = -3*f(v) - m(v). Let o(u) be the first derivative of i(u). Differentiate o(n) with respect to n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -99, 15, 863, 0 in descending order.\nAnswer: 863, 15, 0, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/4545 and 28\/979605?\nAnswer: 98940105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 569958137 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 + 5 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -269 - -413. Suppose -7*s + r = -3*s. Suppose 0 = t + 2*f - 0*f - s, -4*f + 40 = t. What is the greatest common factor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*p - 328 = 14*p. Let y = 122 - p. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(-44)*((-252)\/196*(-5)\/15)\/1.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 4. Let i be (-1*t - -4) + 0. Find the third derivative of 6*o**2 - 4*o**2 - i*o**5 + o**5 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46, -2, 22.\nAnswer: -2, 22, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -89, 2, -1\/6 in descending order.\nAnswer: 2, -1\/6, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q**3 - 2*q. Let j be ((-1)\/2)\/((-1)\/16). Let s(r) = -j*r**3 + 14*r**3 - 2*r + 11*r + 2*r**3. Give 2*s(v) + 9*z(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 31 = 14*w. Calculate the common denominator of 48\/(-504)*67\/w and 80\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 - 9*i**2 - 3*i - 11. Let h(r) = 3*r**3 - 27*r**2 - 9*r - 32. Let w(q) = -4*h(q) + 11*k(q). Suppose -588 - 756 = -192*c. Is w(c) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 10 + 0 = 0. Suppose 6*h - 32 = o. Let f(q) = -q**3 + 8*q**2 - 3*q - 16. What is the least common multiple of f(h) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 873.2748 meters to centimeters.\nAnswer: 87327.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -5*6\/(-45)*-3. Let f be -1600*(1863\/6 - x). Round f to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of y**4\/2 - y**3\/3 + 7*y. Let g be f(2). Suppose 14*n = 76 - g. Solve 2*m + 10 = n*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17233167\/2 or -8616584?\nAnswer: -8616584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1332*f**2 - 2669*f**2 + 37*f + 1336*f**2)*(-1 + 2*f**2 + 1) + 2*f**4 + 4*f**4 + f**4 to v + y*f + h*f**3 + u*f**2 + p*f**4 and give h.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2011*a - 2878. Does 62 divide s(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11268686*x**3*z**3 + 19*x**3*z - 12*x**3 + 1063*x*z**2 - 2*z - 2 wrt z?\nAnswer: 67612116*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*c**2*r - 39333*c**2 - 7*c*r**2 - 205*c - 8704*r**2 + 2*r wrt r?\nAnswer: -4*c**2 - 14*c*r - 17408*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -78, -105, -158, -243, -366?\n\"Answer: -b**3 - 7*b**2 + b - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 3 + 1)*(-2*y + y - 4*y) - 7*y - 8 + 8 - 1 + 1 - 2*y + (1 + 2*y - 1)*(0 + 2 - 4) - 3*y + 6*y - y to s*y + m and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*o + 14*o - 4 + 7*o**4 wrt o.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/202 and -99\/656.\nAnswer: 66256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 89\/2 of a millennium?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*a + 65 - 2 = 0. Solve -5*r - a = -8*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 7. Let o = i + 11. Solve o = 3*x - x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -5*s - 3*k + 20, 0 = -s - 5*k + 25. Suppose r - 19 - 4 = s. Suppose 0*l = 5*l - 340. What is the remainder when l is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*1\/((-5)\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1182 + 1199.66. Let p = 1.36 - b. What is p rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*c**2*o**2 - 2*c**2 - 1319*c*o**2 + 2*o**2 - 17485*o wrt c?\nAnswer: -8*c*o**2 - 4*c - 1319*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 23 + 4 - (1 + (-2 - -7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14)\/5*(-40)\/16. Let k = 3 + 1. Let o = f - k. Solve -r + 1 = 2*t - 0*t, 3*t + 3 = -o*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*w + 489 = 567 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1962594397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.5 - 4.67. Let p = a - -5.17. Let z = p - 4.999912. Round z to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2067970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(108)*1*5.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 93 - 69. What is the remainder when 63 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (30 - 46) + -5 - -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 8:28 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22819862.\nAnswer: 2, 13, 41, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mbbbvvbvvbbhb. Give prob of picking 2 b and 1 m.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, p: 6}. Give prob of picking 2 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 - 13*f - 9. Let c = 15 - 28. Let g be i(c). Which is bigger: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -5*z**4\/12 - z**3\/2 + 38*z**2 + 3*z. Let f(l) = 299*l + 91. Calculate 91*b(c) + 3*f(c).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 - -18) + -15 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 376.11 and 0.63.\nAnswer: 236.9493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1234 - -1241. Let p(o) be the third derivative of -7*o**2 + 1\/12*o**5 + 0*o - 1\/42*o**q + 0*o**3 + 0*o**6 + 0 + 0*o**4. Solve p(w) = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -184*y**3 + 26*y**2 + 13*y + 28. What is the thousands digit of w(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/(-4))\/((-54)\/15))\/((-146)\/(-292))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1160340 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(2\/9)*m**(-1)*((m*m**(1\/3))\/m*m)\/m**5*(m*m**7*m*m)\/m**(-4\/5)*m\/((m\/m**(2\/11))\/m)*m*m**7 assuming m is positive.\nAnswer: m**(7691\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 64 - -229. Suppose 4*m - 283 = g. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -491 - -726. Calculate the highest common divisor of 47 and m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 12*r**5 - 741*r**4 + 6615*r**3\/2 - 6657*r**2\/2 - 723*r\/2 + 2223\/2 = 0.\nAnswer: -1\/2, 1, 13\/4, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s + 5 + 7 + 886*s**2 + 367*s**2 - 2.\nAnswer: 1253*s**2 - 2*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -39?  (a) -0.5  (b) -1\/5  (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -68 - -104. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 168 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*z - 3356 = -2924 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y\/(y\/y**(-6\/5)))*y**7)\/(y\/(y*y**(-6\/5))*y**(-1)) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -12\/521035 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p - 6. Let a be f(4). Suppose -2*s - a*k = -6*k - 84, -3*s + 158 = 2*k. Let h = s + -34. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2*m + 2 = 0, -4*u + 64 = 2*m. Suppose 12*h - u*h + 6 = 0. Let b(g) = -g - 2. What is b(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.1  (b) 0.3  (c) 4  (d) 2\/9  (e) -69648  (f) -0.157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppppppppppptpptppp. What is prob of picking 2 p and 2 t?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13253 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29260 or -2\/1899?\nAnswer: -2\/1899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.49 - 0.39. Which is the second biggest value?  (a) -8\/7  (b) l  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (sqrt(891) + sqrt(891) + -2*sqrt(891) - (1 + sqrt(99))))*-5)**2.\nAnswer: 300*sqrt(11) + 2575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*k + 266 - 952 = 0 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (120\/(-7))\/((-2710)\/(-7588))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*(1 + 3\/(-2)). Let m(v) = 3*v**2 - 1 + 5*v - 4 - v**3 + 2*v**p. Suppose 2*i + 12 = 4*i. What is m(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 2 - (15 + -42 - -11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/2*2\/(-60)*(-34884)\/2907?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -2. Let k(y) = 0*y**q + y**2 + 2*y**2. Let v(w) be the third derivative of -w**5\/60 + 3*w**2. What is k(v(x))?\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 4:46 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**4*y*y**(-2\/11))\/((y**4*y)\/(y*y*y**4*y*y*y)) assuming y is positive.\nAnswer: y**(119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 721.94 times -228.98\nAnswer: -165309.8212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {g: 7, p: 1, n: 11}.\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 46535250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 154?  (a) -1.5  (b) -3  (c) 1\/3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000 + 1111100?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10 - (4 - 2 - 5). Suppose -14*a + n*a + 2 = 0. Is 14 a factor of 2 + (-2)\/a + 44 - 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3023 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40502837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 24083115145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 6:31 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2344 (base 5) to base 9\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 18*p + 4 + 17 - 76. Let a be k(4). Solve 11*o + 24 = a*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5769\/2 - 2885. Which is the biggest value?  (a) -3  (b) -0.22  (c) x  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 3*u - 113 = -0*u - 44, -3333 = -4*k - 123*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 + 7.9. Let b be 2\/(-10)*10\/(-6). What is the second smallest value in b, j, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-6))\/((-5)\/(200\/(-210)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = 3*p + 1, 5*p - x = -6 - 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 74*w**3 + 5*w**2 - w - 3. Let h be z(-2). Is h*((-12)\/9 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122.8 rounded to zero dps?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 153995, 308028, 462061?\nAnswer: 616094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -7 + 5 + (-3 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 5*p = -25, -32*p - 10 = -34*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**3 - 8469744*g**2*u**2 + g**2 + 33*g*u**2 + 2*g*u - 12*u**2 - 883*u - 2 wrt g?\nAnswer: 12*g - 16939488*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -725, -7644, -26419, -62978, -123249, -213160, -338639?\n\"Answer: -988*k**3 - 3*k + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -5*t - 1, 4*t + 2 = r + 1. Let z = 14 - 14.8. Let o = z + 0.7. Which is smaller: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 3 - 18. Let p be 100\/75*((-82)\/4 - -1). Is p at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3242099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 2*a**4\/3 + 658*a**3\/3 + 14234*a**2\/3 + 16154*a + 11628 = 0.\nAnswer: -306, -19, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v**2 - 7*v - 5*v**2 + 3*v**2 + 6. Let t be b(6). Let l = -103 + 101. What is the nearest to t in 3\/8, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -316\/91085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -331238*q**6 - 2388215*q**2.\nAnswer: -39748560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) -52  (b) 0.4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2*a + 1 = 0, -5*c = 2*a - 3*a + 6. Is 30\/(-5 + c) - -7522 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -173*j - 120 - 7122 = 40*j for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/112 and -3\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 900015, 900021, 900027?\nAnswer: 900033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-4035))\/((3 + -1)\/(-10)). Which is bigger: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 3*s**3 - 11*s**2 + s + 1. What is the units digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, l: 8, p: 2, h: 2}. What is prob of picking 2 l and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of 4\/3*a**3 + 0*a - 1201\/30*a**6 - a**2 + 7\/12*a**4 - 2\/15*a**5 + 0. Let c be b(-12). What is c rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1856654, 1856432, 1856210?\n\"Answer: -222*h + 1856876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -401*2 - (8 - (6 + 0)). Let v = k - -807. Sort 4, v, 95 in decreasing order.\nAnswer: 95, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6231 + -24923\/4. Let h = 1.03 - 0.03. What is the closest to h in -4, g, -22?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -64  (b) -5  (c) -2\/9  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 232*m**2. Let x(q) = 2*q. What is v(x(p))?\nAnswer: 928*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7.841 - 44.471. Let o = n + 36. Let x = -0.62973 - o. Round x to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -n**5\/15 - 11*n**4\/6 - 30*n**2. Suppose a(o) = 0. Calculate o.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 8*j. Let f(g) = 624*g**2 - 80*g - 80. Let l(b) = -23*b**2 + 3*b + 3. Let s(r) = -3*f(r) - 80*l(r). Give k(s(m)).\nAnswer: -256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4960 divided by -149.\nAnswer: 4960\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10020.3 and 32.\nAnswer: -320649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 379435 is divided by 94811.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 800303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -9 + 415*j**2 - 208*j**2 - 217*j**2. Let v(k) = k**2 + 1. Calculate -18*v(m) - 2*y(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23701, -23700, -23691, -23668, -23625, -23556, -23455?\nAnswer: -23316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3443 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1453\/4 - 363. Let r(g) be the first derivative of x*g**4 + g + 0*g**2 - 1 + 0*g**3. What is the first derivative of r(b) wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 4*d + 2 - 2*d + 0 - d**2. Let j be (-12)\/(-16)*-2*-2. What is w(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85284.\nAnswer: 2, 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 2*l + 3)*(-3 + 3 + 4*l) + (-l + l + l**2)*(1 + 0 + 0) + 2*l**2 + 2*l - 2*l + 1 + l**2 - 1)*(-9*l**2 + 2*l**2 + 0*l**2).\nAnswer: -84*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 at least as big as 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -39*k**2 + 59*k - 17. What is p(-5)?\nAnswer: -1287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 59, 121, 183, 245, 307, 369?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of -f**4\/4 - 4*f**3\/3 - 2*f**2 - 6*f + 2. What are the prime factors of w(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1899, -3471, -5043, -6615, -8187?\n\"Answer: -1572*n - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.253 - 120.253. Let p = f - -119. Let o = -11 - -6. Which is the closest to 2\/3?  (a) o  (b) -7  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 4*k = 102. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 565.6 rounded to the nearest 10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-18)\/44*8\/6. Let j = -2.7 + 3. Which is the third biggest value?  (a) -3  (b) j  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 7 - 5. Let h be -11 + -1 + -2 + 0. Let v = -13 - h. What is the highest common factor of v and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -4*h - 194. Let j be n(-51). Solve -12*p + 10*p = -j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-372333)\/(-364) - 1\/(-4). Let t(i) = 168*i - 8. Let q be t(-6). Let u = q + o. What is the common denominator of u and -97\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 - 1)*(22*a - 3*a**2 - 22*a) + 0*a**2 - 6*a**2 + 4*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 30 - (5 + -3 + 3). Calculate the highest common divisor of 25 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 770307.\nAnswer: 3, 433, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.01, 33, 3, -20?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*t + 48*t = 180. What is the remainder when 88 is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.08 in 3\/2, 1\/16, -0.47?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/10)\/((-3)\/10). Solve -g*b + 10 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -5  (b) -21  (c) -1\/3  (d) 578  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (6270\/28875)\/(2 - 66\/63) and -46\/45.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*a + 114 - 14 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 5 = 15. Suppose o + 2 = 3*y, -2*o + 6*o = -5*y - 8. Sort -1, n, y, -4 in increasing order.\nAnswer: n, -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21 - 11. Let h = -50 + 39.8. Let p = s + h. Which is the biggest value?  (a) p  (b) -1\/2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 3*o - 22 - 5, -b + 24 = -5*o. Let f(p) = -p + 9. Let m be f(b). Which is greater: -2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + c + 10. Let i = 47 - c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -18926 and 5942?\nAnswer: -112458292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4221043100 + -1?\nAnswer: 4221043044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 4*r = 0. Suppose r = -2*f + 3*f - 1. Let d(t) be the first derivative of t**4\/4 - t**2\/2 + t - 1. Determine d(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 17624302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 590713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.5188 to two dps.\nAnswer: -3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -5, 3, 2\/3, 4\/7, -13, 5, 3\/118?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.3 and 1.2068.\nAnswer: -0.0932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 155, 2500, 6409, 11882, 18919, 27520?\n\"Answer: 782*r**2 - r - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*8557.\nAnswer: 25671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from kxkzmxkzmmvkkmmkz.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-246)\/(-42) - 2 - 2\/(-14). Suppose 5*y - 8*y + 30 = 0. Solve k + y = -7*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 35 = -3*l. Suppose 2*m - 7*m = -l. Solve -4*o - 17 = -x, 0 = -3*x - o - 7 - m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65 times 11801?\nAnswer: -767065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of -n**5\/60 - 3*n**4\/8 - 5*n**3\/6 - 427*n**2. Give i(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of 0*y**4 + 14*y - 1\/6*y**3 + 9\/10*y**5 - 13*y**2 + 1. Find the second derivative of t(i) wrt i.\nAnswer: 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**29)**50\/((z**(-1\/25)*z*z)\/(z**(30\/7)\/z)) assuming z is positive.\nAnswer: z**(253982\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {i: 6, g: 7, j: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/25 - 34\/(-10). Let g(k) = 2*k**2 - 1. Let y be g(1). Let p(o) = y + 1 - v + 4*o. What is p(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -86 + 87. Which is the smallest value?  (a) 0.015  (b) r  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12*((-1293)\/(-99) + -13). What is the smallest value in 2, 0.1, u, 2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-0.005\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 248 + -127. Let u = v + 200. Suppose 126 + u = 3*z. Is z a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 8, u: 2, i: 1, w: 9}. Give prob of picking 2 w and 2 m.\nAnswer: 336\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of f**3\/6 + 6*f**2 - 3*f. Let m be n(-7). What is the nearest to -0.1 in 6\/11, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/13  (b) -20  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4 + 26\/6*1 + (-703)\/57. Which is greater: -113 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -539, -550, -557, -560?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 41 and 15703.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 508\/2286*(-567)\/70?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -5, 5 in descending order.\nAnswer: 5, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*y = 2*y - 513. Suppose 21 + y = -5*q. Let c(n) = -n**2 - 9*n - 5. What is c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k - 5. Let t = -10 + 15. Let d be r(t). Let u = 10 - 7. Solve -u*b + 6 = -d*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*x + 16*x = 38*x - 1013012. What are the prime factors of x?\nAnswer: 2, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 39 = 5*i + 4*h, 5*i + 2*h - 54 = 0. Let q = -11 + i. Calculate the lowest common multiple of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6257229, -12514459, -18771691, -25028925, -31286161, -37543399?\n\"Answer: -f**2 - 6257227*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (48 + -32 - (-6 + 6 + 97))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1170 divided by 298.\nAnswer: -585\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205814?\nAnswer: 2, 7, 61, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4017 from -3.\nAnswer: -4020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -3*z**2 - z + 1. Calculate g(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 349105*r + 4*v = 349115*r + 60, 55 = -5*r - 3*v for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from {a: 1, t: 1, f: 2, j: 1, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3*v + 12. Let i(j) = -2. Let p(o) = -6*i(o) - x(o). Let f(y) = -159*y + 5. Let r(d) = -241*d + 7. Let k(l) = -7*f(l) + 5*r(l). Determine p(k(q)).\nAnswer: -276*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 12 = 10*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2819.\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 486153 divided by 130.\nAnswer: 486153\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -502*d**2 - 17 + 1550*d**2 - 499*d**2 + 17 - 429*d**2.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/12 and 79\/866?\nAnswer: 5196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(110)*-2)\/sqrt(2) + sqrt(495) + -2*sqrt(495) + sqrt(495)))\/((sqrt(405)*6)\/((sqrt(99) + (sqrt(99) - sqrt(99)*-2))\/sqrt(11))).\nAnswer: 4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 7*d**3 + 0 + (-2 - 1 + 0)*(-d**2 + 2*d**3 + d**2).\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 79688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4236.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 4*t - 3. Let w be s(-5). Which is smaller: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4487, -4480, -4473, -4466?\n\"Answer: 7*g - 4494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1968628875.\nAnswer: 3, 5, 101, 51977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 5*o = -15. Calculate the remainder when (-1*(4 + o) - 0)*-335 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15549109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 49051421 to the power of 1\/2, to the nearest integer?\nAnswer: 7004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/12)*o*o**5*o**(-8)\/o**(-5\/6))\/((o**1)**(-2\/7)*(o*o\/o**0*o)**(2\/19)) assuming o is positive.\nAnswer: o**(-1777\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7061115947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -247789\/14 + 17692. Calculate the common denominator of -146*1\/(3 + -7) and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*p = -132*p + 40 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20654, -41305, -61954, -82601?\nAnswer: -103246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**46)**(3\/25)\/((r*r**(-1\/3))\/r**(-34)) assuming r is positive.\nAnswer: r**(-2177\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -43205*c*y + 152*c + 5447137*y + 1 wrt c.\nAnswer: -43205*y + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + -136. Let y = -132 - z. What is the lowest common multiple of y and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 774.53ml to litres.\nAnswer: 0.77453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of -x**6\/120 + 2*x**5\/15 + 7*x**4\/8 - x**3 + 17*x**2. Let t be h(10). Solve 4*d = -0 - 20, -t*j = 3*d - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4158240 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(275) - (sqrt(22)\/sqrt(2) + -4) - (sqrt(132)\/((sqrt(24) + sqrt(192)\/sqrt(8))\/sqrt(2)) + -3)) + 2)**2.\nAnswer: -117*sqrt(11) + 2183\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -68 - -71. Let g = 48016\/7 + -960249\/140. Let k = 3\/28 - g. What is the closest to -1\/3 in t, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -198*w**2*z**3 - 5*w**2*z**2 + 211*w**2 + w*z**3 - 5*z**3 wrt z.\nAnswer: -1188*w**2 + 6*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 82 + -87. Sort 3, 2, n, -127 in increasing order.\nAnswer: -127, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1001 (base 3) in base 16?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 49 - 21. Let t be 9\/(-3) + (-8 - -5). Let w be 6\/21 - t\/x. Which is the third smallest value?  (a) -3  (b) 4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kxjk when four letters picked without replacement from jyhyxhkkykkhh.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1406\/296)\/((-2)\/(-16)). Let a = o + -11. What is the remainder when 401 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4472 - 3141. Let h = 38 + -34. Suppose 326 = 4*v - 3*v + 3*l, 3*l = -h*v + p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22 + 16. Let o be (4\/r)\/(4\/(-12)). Solve o*c - 3*c = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s - s + 2*s)*(1306 - 657 + 7*s - 4*s**2 - 654).\nAnswer: -4*s**3 + 7*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 8) to base 9.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1602050315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 12139*n**2 + 3529.\nAnswer: 24278*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*l**3 - 124*l**2 + 477*l - 126.\nAnswer: -(l - 3)*(l + 21)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1003820 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**26*w**(4\/11)*w\/w**9*w*w\/((w**(-40)\/w)\/w))**1 assuming w is positive.\nAnswer: w**(125\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3995257831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45 - 8*w**2 + 16*w - 29 - 3*w**3 - w**3 - 16 to the form x*w**3 + q + h*w**2 + g*w and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1367056 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 10261*h**2. Let m(c) = -23*c + 172. What is m(d(o))?\nAnswer: -236003*o**2 + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -422*u + 118. Let g(m) = -421*m + 117. Let o(k) = 7*g(k) - 6*h(k). What is the first derivative of o(t) wrt t?\nAnswer: -415","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 + p - 4. Let v(w) = 5. Suppose 2*d = -4*k + 4, 0 = 4*d - 0*d + 2*k - 14. Let s(y) = d*v(y) + 5*j(y). Find the second derivative of s(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008)*-2 - (sqrt(77)*1)\/sqrt(11) - (4*2*sqrt(700))**2) + 1.\nAnswer: -44799 - 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/16 or 0?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -7*l - 10*l. Suppose -5*b + l*j = -4*b - 86, -b + 4*j = -96. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 75 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 277*s - 853. Does 6 divide m(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 2*h**2 - 4. Let o be q(-3). What is the second derivative of 0*i + 3*i + i**o + 4*i**5 wrt i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 14d586 - -4?\nAnswer: 14d58a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1076 divided by -4?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -115.0215 to the nearest integer.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 - 13*b + 4. Let j be o(7). Let s = 40 + j. Solve s = 3*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 327501?\nAnswer: 2\/109167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 3*p = -9, -3*p + 390 = -2*t + 416. Sort t, 5, 3, 1 in decreasing order.\nAnswer: t, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 192*c**2 + 2154*c - 1191. What is w(-180)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2 + 10 - 3 + 3*r**3 + 28*r**2 + 5*r + 5. Let a(c) = 2*c**3 + 13*c**2 + 3*c + 8. Let p(u) = -5*a(u) + 3*n(u). What is p(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -44\/7, -1, 0.1, -4?\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 5*k**3 + 505*k**2 + 2430*k + 2880 = 0.\nAnswer: -96, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3b7 + -35?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -128 + 130. Is (v - 8598\/(-18))*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 311 - 311.3. What is the closest to -4\/7 in 0.3, 0, -2\/13, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1813184496 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: Solve 0 = -94*p + 2608 + 1152 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-1\/7)\/n)\/n*n*n*n**(3\/4)*n assuming n is positive.\nAnswer: n**(73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -233.6 minus 2?\nAnswer: -235.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2912317866 less than -0.3?\nAnswer: -2912317866.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2*o**3 - 14*o**2 - 25*o - 94. Is h(10) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -166b8 + 5?\nAnswer: -166b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - 1. Let p(d) = d**3 + d**2 + d. Let r = -14 + 24. Let y = 5 - r. Let l(a) = -7*a**3 - 5*a**2 - 5*a. What is y*p(b) + z*l(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 16009 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38991, -78355, -117719, -157083?\nAnswer: -196447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 5. Let u = 23 + -23.9. Let t = u + 0.7. What is the biggest value in p, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 162, 595, 1442, 2841, 4930, 7847, 11730?\nAnswer: 16717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 70735 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*i - 5*q - 14, 28*q - 30*q + 34 = -14*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m + 54. Let s be f(-13). Let n be s\/5 - (1 + 0) - -519998. Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 122664, 245193, 367726, 490263, 612804, 735349?\n\"Answer: 2*b**2 + 122523*b + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -2. Let j be (-92)\/(-9) + 6\/(-27). What is the highest common divisor of j and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 369550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*g**2 - 24*g**2 - 24*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 114\/(-18) + 2\/(-3). Let u = -5 - f. Suppose u*q + q = 6. Solve r + q = -2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 14.9714 microseconds?\nAnswer: 14971.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1136 - -1159. Solve 0 = -k + r*k - 66 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-8)*-2*2*2. Solve 0 = -3*v + b + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7365.577l in millilitres?\nAnswer: 7365577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19377074?\nAnswer: 2, 19, 419, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 52 + 19*s + 4*s - 9*s - 16*s. Give v(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 69896*m**4 + 162668 wrt m.\nAnswer: 279584*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25064 + 2801. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2447\/368 + -186\/23. Calculate the common denominator of 207\/6 + 0\/2 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24554 is divided by 707?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 794 - 782. Solve 20 = -4*j - 5*x, -5*j - 13 = 5*x + w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 + 10. Suppose -7 = -4*y + z. Let -y*d**3 - 4*d**3 - 8*d**4 + 4*d**4 + 2*d = 0. What is d?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -11 - ((-10)\/4 - (-3)\/(-2)). Let f be (-25)\/w - 12\/21. Let p(t) = 3*t + 3. Give p(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*(t*t*t**(3\/22))\/t*t)\/t)\/t*t*t\/((t*t\/t**(-3\/8)*t)\/t) assuming t is positive.\nAnswer: t**(155\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - -7. Suppose 3*s - 6*b = -3*b + t, -5*s + 14 = b. Suppose 2*k - 42 = 4*w, -k + 29 = -s*w + 8. What is the remainder when k is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1517 and 6109?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 j when three letters picked without replacement from zozj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13490750 and 18976?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4*a - 127 = 0, -4*m = -3*m + 4*a + 53. Suppose -x - 6 = -4. Calculate the remainder when 6*(m\/(-6) - x) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from iyammcmiiocamcci.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -2*z**2 + 21380648*z - 57141513612488 = 0.\nAnswer: 5345162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -y, 6*y = -4*k + 8*y + 2772. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -64 - -62. Suppose -3*k = -3*f + 19 - 1, -5*k - 2*f = 23. Let y = -3 - k. Which is the biggest value?  (a) -1  (b) y  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*m + 10634 = 90*m. Let v = m - 722. What is the highest common factor of v and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express m - m + m**3 + (6*m - 2*m - 2*m)*(m**2 - m + m) - 33*m**3 - m**2 + 10*m**3 - 20*m**3 as t*m**2 + i*m**3 + b*m + n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4371682 divided by -89218.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -30*u - 374. Let h be (15 - 2)*(1 + -2). Let q be r(h). What is the greatest common factor of 464 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 5*j**3 + 1. Suppose 8 = -4*v - 3*r, -5*v + r - 10 = -2*r. Let x(o) = 5*o**3. Let n(m) = v*x(m) + 3*c(m). Differentiate n(u) wrt u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3 + 4 = 0. Let o be 8 + w + 2*1. Calculate the highest common divisor of o and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -182*b*k + 294*b wrt k?\nAnswer: -182*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -161\/528 and 87\/22928.\nAnswer: 756624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b**3*b*b*b*b))\/b)\/(b\/(b\/b**(-13))*b)*b**(-1\/7)\/(b\/(b\/(b**5*b))))**(-27\/7) assuming b is positive.\nAnswer: b**(216\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -24*a**3 - 2*a - 1. Let l be i(-1). Let f = 402 - 419. Let h = f + l. Calculate the lowest common multiple of h and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16 - (-36 - -15)) + -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -22333 divided by 38?\nAnswer: -22333\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -4 + 1 + (-5 - -3 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 - 13*u + 16. Suppose 4*h + 5*z = 58, 2*h = h - 4*z + 20. Let m be k(h). Suppose 0*w = -w - 1, m*w - 16 = -4*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 1215211*i - 1 + 5.\nAnswer: -1215211*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, z: 1, h: 1, g: 1, e: 2, f: 1}. What is prob of picking 1 g, 1 e, 1 f, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*b - 55*b + 160*b = -90*b - 19341 for b.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a - 3*a + 3*a + 2*a - 3*a + 3*a + (-1 - 1 + 4)*(2*a + 2 - 2) + 2*a + 0*a - 4*a + 86*a - 294*a - 302*a + (8 + 8 - 20)*(-3*a + 0*a + 2*a)*(-6 + 3 + 5).\nAnswer: -500*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 647 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 176 and 3916?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425004083?\nAnswer: 7, 71, 173, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**2 - 11900096*z + 11900100.\nAnswer: -4*(z - 1)*(z + 2975025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/645168 and 81\/68.\nAnswer: 10967856","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Divide -102771 by 3.\nAnswer: -34257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -2 + 7. Let s be 2 + -9*(q + (-4)\/6). Let m = 32 + s. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -90746.8319 to 0 dps.\nAnswer: -90747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30672 is divided by 2345.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 4472*j - 12627*j + 1574*j - 17479*j as x + n*j and give n.\nAnswer: -24060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2650408*r**4 + r**2 + 313651*r wrt r.\nAnswer: -63609792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47035826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - (1\/7 - 627\/77). Let j(x) be the first derivative of 0*x**2 + 0*x**4 + 7*x + 0*x**3 + 1\/5*x**i + 2. Differentiate j(u) with respect to u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 12*h**2 - 2*h - 18. Let i be u(-12). Suppose -v = -i*v - 5, k + 4 = -4*v. Suppose 28 = 2*n + 4*d, 18 = n - k*n + 3*d. Is -3 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.09058529 + -292688.\nAnswer: -292687.90941471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 20\/30 - (-197)\/(-12). Let m(t) = t**3 - 95*t**2 - 293*t - 115. Let s be m(98). Is u less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104992669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5109 + -8789. Round q to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 458*a**4*k**2 + 190363*a**3*k**2 - 788*a**2*k**2 - 2*a**2 + 172*a*k - 3*a + 2*k wrt a?\nAnswer: 10992*a*k**2 + 1142178*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/18 - 834\/(-36). Calculate the greatest common divisor of 69 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 27, 43, 67, 99?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45436 is divided by 152.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i - 3. Give f(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6825734 is divided by 1395?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -1531*b - 83 = -1561*b + 7. Let q(i) be the second derivative of i**3\/3 - 5*i**2\/2 - 2*i. Calculate q(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 smaller than -36.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 5*t**3 + 4060*t**2 - 96775*t - 449539230 = 0.\nAnswer: -553, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.83  (b) 0.3  (c) 7.6  (d) -2\/11  (e) 10  (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 10) in base 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 22216230 + -34?\nAnswer: 22216163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 18, 29, 32, 21, -10, -67, -156?\n\"Answer: -b**3 + 2*b**2 + 12*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65, -145, -221, -293, -361, -425, -485?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8790 - -8790. Which is smaller: i or 21\/148?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 249 + 288 - 1113 + 288 + 509*n + 288.\nAnswer: 509*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -520 + 931. Let t = -16 + i. Suppose 4*c - 9*c + t = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 4*t + t**2 - 1 - 2*t**2 + 0 + 0*t**2. Let s be u(3). Which is bigger: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(200)*1 + -2 + (sqrt(2) + 1)*-6 + 1)**2.\nAnswer: -88*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46617 and 436608?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -74b (base 13) to base 5.\nAnswer: -14441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 259 = 5*n - 5*i - 121, -2*n - 4*i = -170. Suppose -5*z + 4 = l - 45, n = l - z. Suppose -4*u + l = -58. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:28 AM and 7:52 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 4. Solve -4*x = k*r - 0*r + 8, -x - 4*r - 11 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4066*b**2 + 4060*b**2 + 4055*b**2 + 4079*b**2 - 20234*b**2 + 3987*b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-58 - 86 + 40)*(2 + o - 2) - 2*o + 0*o - 3*o to k*o + f and give k.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 452 - -18158. Suppose -a = -10*i + 74260. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165*p = 27*p. Solve -t - 6 = -u - 7, 3*u - 5*t + 1 = p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32 - 2222314203?\nAnswer: -2222314240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.05 + 0.35. Let k = s + 1.615. Round k to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**2 + 2*o**2 + 6*o**2)*(2*o - 2*o + 2*o**3).\nAnswer: 12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*f + 11*f - 180. Suppose -3*i + 62 = -f. Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49491 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -136*s + 344. Give h(3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g - 3. Let r be c(-4). Let o be (2\/r)\/((-1)\/(-5)). Put -0.1, o, -3 in increasing order.\nAnswer: -3, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 391 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1136 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -17*w**2 + 9*w + 7. Let s(v) = -v**2 - v - 1. Give -c(n) - 5*s(n).\nAnswer: 22*n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 34. Let u = 22 - o. What is the lowest common multiple of (3 - u)*5\/2 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -7*d**2 - 20*d - 14. Let o(x) = 11*x**2 + 30*x + 21. Let l(y) = 8*h(y) + 5*o(y). What is the tens digit of l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -241*p**3 + 18*p**2. Let y(l) = -8918*l**3 + 663*l**2. Calculate -221*x(n) + 6*y(n).\nAnswer: -247*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*b**2\/4 - 417*b\/2 + 57963\/4 = 0. Calculate b.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 7 + 3 = 0. Solve -5*m + 5 = o*y, -6*m - 15 = -m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 b when three letters picked without replacement from bbvfvbnibsfi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 3. Let o be 166\/6 + j\/(-6). Suppose 4*y = -2*a, -5*a = y - 9 - o. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -34  (b) -3\/2  (c) -6  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/60 and -71\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 6:05 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4)*4*6\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*2 + 4 + -15. Let f be (-3)\/i - (-87)\/9. Solve -5*l + f = 25 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-54)\/(-405) - 43\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 11. Does 11 divide (-42)\/4*(-20)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/3360 and 179\/8400.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13190, 13187, 13184, 13181, 13178?\nAnswer: 13175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -296*d**2 - 1. Let f(z) = -2*z. Determine f(r(q)).\nAnswer: 592*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v. Let j(z) = 3154*z + 266. Let i(b) = -119*b - 10. Let g(t) = 133*i(t) + 5*j(t). Calculate g(q(l)).\nAnswer: 114*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 193758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.39 + 102.49. Let w = k + -81.9747. Round w to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1763.15 times -17?\nAnswer: -29973.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of p**7\/42 + p**5\/15 + 3*p**2. Find the third derivative of t(d) wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -d + 8. Suppose 2*u - 3 = 1. Suppose -10 = u*n, 0*x + 3*x + 5 = 2*n. Put -2, x, d in decreasing order.\nAnswer: -2, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -4861 + 2478. List the prime factors of s.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 1) + 10 + -4. Let y be ((-8)\/(-10))\/(d\/20). Solve -y*m - 6 = -4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + 2 - (0 + 20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r**3 - 2*r**2 + 5*r + 4. Let z be (-4)\/(2*1\/(-10)). Suppose 0 = j - 3*a - 12, a = 5*j + 2*a + z. Is l(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14018121.\nAnswer: 3, 13, 119813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1172?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*a + 10*a + 882 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -89891324*q**4 - 26*q**2 - 86*q - 2967 wrt q.\nAnswer: -2157391776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (75 - 64) + (-1 - 2 - -14)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-nine halves of a microgram in nanograms?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23958 and 644688?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 17 = 3*g, 0 = 3*g + 5594204*q - 5594208*q - 23 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 1355 - 43 = 0. Does 40 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.08*0.2997384\nAnswer: 0.023979072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(459) - sqrt(459)\/(-2*sqrt(9)))\/((sqrt(60)\/(sqrt(10)*-2))\/sqrt(2)*3).\nAnswer: 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184 - 24 = -40*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, b: 2, k: 2, d: 7, r: 8}. Give prob of sequence km.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(700)*-1 + -4 + sqrt(700))*-5*2*5)**2*-6.\nAnswer: -240000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(156) - (sqrt(156) - -1*sqrt(156))) + sqrt(156))*4)\/(sqrt(432)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -169 - 0. Let a = 173 + x. What is the closest to -1\/4 in a, -10\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 155.606 * 3.\nAnswer: 466.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*m + 0*m + m**2 + (-2*m + 2*m - m)*(0 + 2*m + 0) + (-16 - 1 + 4)*(2*m**2 - 1 + 1) to h + d*m + s*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8694, 34760, 78204, 139026?\nAnswer: 217226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43248 + -24351. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 - x - 3. Let c(f) = 116*f**2 + 6*f + 114. Suppose -g = -3*g + 3*z + 3, -34 = 4*g + 2*z. Let d(p) = g*a(p) - c(p). Differentiate d(l) wrt l.\nAnswer: -220*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54188189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20058 times -0.308?\nAnswer: -6177.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.3 + -5.3. Let s = -711\/35 + 103\/5. What is the closest to -0.1 in -0.3, t, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3585207 is divided by 2109?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9706686289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 245 - 255 = r + o, r - 22 = 3*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139*l - 273 = 6155 + 522. Suppose 76 = p - c, -299 = -4*p - 3*c + 2*c. Calculate the highest common factor of l and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1268 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 484439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3130, -6270, -9420, -12580, -15750, -18930?\n\"Answer: -5*f**2 - 3125*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8200 - 3505. List the prime factors of w.\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 19. Suppose 3*j = 1 + n, 13 = -s + 5*j. Let m = 9 - 1. Calculate the lowest common multiple of m and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - (-5)\/(15\/18). What is the third derivative of p - i*p**2 - p + p**5 wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zgzzggggggzggggggz. What is prob of picking 2 g?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, 5581496 in increasing order.\nAnswer: -4, 0, 5581496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1153 times -117?\nAnswer: -134901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*q + 4. Let s be q\/6 + (-7)\/(-3). Solve 2*r + 1 = s*v, 6 = 4*r - 3*v + 5*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2633456 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*k + 4*k. Let h(b) = -b - 6. Calculate h(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 3*u**2 - 3*u. Suppose 2 = 2*y - y. Let h be c(y). What is the common denominator of 47\/4 and (43 - h)*(-1)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 129 + -74. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-5)*(-285)\/114. Put 3, w, -9 in increasing order.\nAnswer: -9, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1674969, 6699886, 15074747, 26799552, 41874301, 60298994?\n\"Answer: 1674972*z**2 + z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3884008 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, d: 16}. Give prob of sequence ddd.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19\/((-133)\/(-21))*5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -4*r + 301. Let k = r + -112. Does 21 divide 8*2\/k*-39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*s + 4*w + 8, -11*s + 13*s + 21 = -3*w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 2 + sqrt(396) - sqrt(396))**2 + sqrt(396)*1*5 - (sqrt(396) - (sqrt(396) + sqrt(396) + 2*(sqrt(396) + 1) + sqrt(396)))*-4) + 1.\nAnswer: -66*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + 1 + 0 - (2162 + -2159)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29904697 + -19769526. Let o = q - 10135171.5010211. Let i = o + 0.501. Round i to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 5:50 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -3*u + 9, -3*u = 4*k + 7 - 2. Which is smaller: u or 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 615.0356ug to kilograms.\nAnswer: 0.0000006150356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n - 5. Let b = -3 + 6. Suppose b = -j + 2*j. Suppose -j*p - 12 = 0, -k - 4*p = -2*k + 21. Calculate c(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 10 = 3*u, 4*u - 4 = -7*o + 3*o. Solve 0 = t - u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 5*t + 39 - 11, 0 = t - 5. Suppose a*j - j = 0. Suppose 54 = -3*o + 69. What is the closest to 0.1 in j, -0.07, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -276 divided by 69?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1096, -889, -682, -475?\n\"Answer: 207*j - 1303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 1. Let r be l(2). Let n be 12\/r - (-31691950)\/15. Let t = 7612798 - n. What is t rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -7*y + 7. Let t be s(6). Let m be 18\/(-30) + (-11)\/t. Let v be (3\/(-8))\/(-5 + 2). Sort m, -2, v in descending order.\nAnswer: v, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000016785501 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.1?  (a) 1\/3  (b) 1\/6  (c) 4  (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**3 + 0*z**3 + 2*z**3)*(-16 + 16 + 7*z**2 + (-3*z**2 + 3*z**2 + 2*z**2)*(2 - 3 - 1)).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -475 - -5010. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 56\/17643 and -71\/47048?\nAnswer: 141144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 4. Let m(a) = 5*a**2 - 4*a**3 + 0*a**2 + 8*a + 3*a**d - 3. What is the lowest common multiple of m(6) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4923495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-83 - 17399*v**2 + 8686*v**2 + 8693*v**2)*(-v - 4 + 4) as o*v**2 + x + u*v + c*v**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of -w**5\/60 + 59*w**4\/12 - 440*w**3\/3 - 4382*w**2. Factor q(s).\nAnswer: -(s - 110)*(s - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - u + 10 = 3, -2*j = -u + 1. Let i = j + 10. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-50)*14*20\/210.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 68 and 22406?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p. Let t(w) = -788*w**2 + 22*w + 22. Let l(v) = 28*v**2 - v - 1. Let s(c) = -88*l(c) - 4*t(c). What is s(h(n))?\nAnswer: 2752*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 152757 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 2d3f5?\nAnswer: -2d3f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41*p**4*x + p**4 + 3*p*x - 3*p wrt p?\nAnswer: 492*p**2*x + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -50\/62507 and 71\/10.\nAnswer: 625070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a + 1. Let h(p) = -p - 5. Let t be h(-5). Let y be -1 + t + (3 - -4). Is q(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 4)*(1659 - 27*m**2 - 1659) + 44 - 1967*m + 1968*m + m**2 + 9.\nAnswer: 55*m**2 + m + 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8600, -35835, -81708, -146219, -229368?\nAnswer: -331155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.13 + -0.26. Let c be (0\/2)\/(2 - 1). Put i, c, -4 in decreasing order.\nAnswer: c, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -49 - -39. Let o be (-2)\/(-1*u\/(-25)). Solve -o*c = 12 + 8, 5*v = c - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-n + 4*n - n)*(n**3 + 0*n**2 + 0*n**2) - 670*n + 670*n - 30*n**4 as x*n**3 + i*n**2 + g + l*n + c*n**4 and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34 + -27. Solve -3*i = 2*h - m*i - 20, 2*h - 3*i = 17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -740 (base 16) to base 15\nAnswer: -83b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2363 and 18765.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 4 = -2*z + 4*z, -z + 2 = -4*y. Let u = -3 - -2. What is the second smallest value in u, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -3*s + 24. Let f be y(6). Suppose 0 = -t - 0*t - 5, 2*t + f = -i. Solve 4*b - 4*q = -i + 16, 0 = 3*b - 4*q - 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of 2*j**3\/3 - j**2\/2 + j + 560. Suppose -17 = -3*d + 2*u, -d + 4 = -u - 3. Determine s(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 3*r - 27 = -4*r, 4*r - 24 = -4*h. Factor 9*y**3 + 3*y**5 - 9*y**2 + h*y**2 + 10*y**4 + 4*y**2.\nAnswer: y**2*(y + 1)*(y + 2)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - -10. Calculate the greatest common divisor of 98 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -8 - 0) + (-1 - (144 - 111))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -80 - 288. Let f = y + 78. Let b = -290.00219 - f. Round b to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 3 = 7*m. Which is the second biggest value?  (a) -2  (b) m  (c) -3  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 10*i + 20*i**2 - 12*i - 5 + 6*i**2 + 0. Is y(3) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 - -7. Let i be (-20)\/(-6) - 2\/h. Factor 3*x**3 - x**3 - 5*x**i + 3*x**4.\nAnswer: -2*x**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -81740, 5, 4 in decreasing order.\nAnswer: 5, 4, 2, -81740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -449276382*l**2 - 561830463*l?\nAnswer: -898552764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**2 + c - c)*(2*c + 0*c + 0*c) + 2*c**3 - c**3 - 2*c**3 + 1.\nAnswer: 3*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*p**2 + 69*p - 86*p - 57*p + 74*p.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(2\/51)*s**(-7\/2))**(1\/15) assuming s is positive.\nAnswer: s**(-251\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 3*n - 5*n, -5*o = -13*n + 51 + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58432661.\nAnswer: 7, 8347523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1919 is divided by 744?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -6261.0569 to the nearest 100.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -13  (b) 4  (c) 2\/5  (d) 30  (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11753 and 1288?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 g when three letters picked without replacement from {g: 4, y: 1, z: 2, d: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 176894652 to the power of 1\/2, to the nearest integer?\nAnswer: 13300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -246 - -167. Let k = -54 - s. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 731 a factor of 188963500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 4*y**3 + 4*y**2 - 6*y - 7. Let a be m(-3). Let f = a + 64. Suppose -96\/7*b**4 - 36\/7*b**5 - 16\/7*b**f + 52\/7*b + 8\/7 + 88\/7*b**2 = 0. Calculate b.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 65 in increasing order.\nAnswer: 0, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (0 + (sqrt(7) + 0)**2 - sqrt(7)) + 1 + -2*sqrt(7) + sqrt(14)\/(1*sqrt(2)) + 5.\nAnswer: -2*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -108 - -116. Suppose -s*r + 13*r - 65 = 0. Suppose 15 = 5*z, 0 = 2*w + 5*z - r - 6. Solve 5*j + 0*d + 19 = w*d, -8 = 4*j - 4*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.046 + -3.26. Let c = -0.22156 - v. Round c to 4 decimal places.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = 3*r + 6, 0 = 3*y - 2*r - 2*r - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -10*q**2 - 394*q - 154. Let a be s(-39). Let u(n) = n**3 - 8*n**2 + n - 8. Let v be u(8). Put -10, a, 0.01, v in descending order.\nAnswer: a, 0.01, v, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-3 - (-7 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 273474 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*n - 5*d + 7, 0 = -4*d. Suppose n*l = 2*j - 18 + 2, -5*j - l + 16 = 0. Find g such that -7*g + 13*g**2 - 13*g**2 + 4 - j*g**4 + 8*g**3 - g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 183, 368, 553, 738, 923?\n\"Answer: 185*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 less than -31778679?\nAnswer: -31778688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of z**2 + 3*z + 45. Calculate p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 40 + 44 = 0. Calculate the remainder when h is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 592, 1706, 3520, 5998, 9104, 12802, 17056?\n\"Answer: -6*l**3 + 386*l**2 - 2*l + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6.7 + -7. Let n = 31 + -13. Let v = n - 13. Sort d, v, 4.\nAnswer: d, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2897506, -5795016, -8692526, -11590036?\nAnswer: -14487546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of -13*b**4\/24 + 28*b**2. Let p(h) = -h**2. What is p(x(u))?\nAnswer: -169*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 6*t**2 - 6*t - 3. Let l be (3\/1)\/(2\/(-4)). What is the units digit of m(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*m = 125*m - 171 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of 0 + 0*d**4 - 1\/20*d**5 + 0*d**3 - 3\/2*d**2 + 1\/40*d**6 - 2*d. Let z(s) be the first derivative of y(s). Factor z(n).\nAnswer: 3*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1316\/(-21))\/(-1)*(-6)\/(-1). Suppose r + 2*o - 102 = z, 2*r = 5*o + 1001. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-4) + 4\/(-8). Let w = b + 1. Suppose 0 = -w*c - c + 9. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-30) + 114\/(-30) + 1*-14.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 259.44 - 260. Let s = m + 2.56. Let p = -0.06 + -0.34. Which is the nearest to -3\/2?  (a) p  (b) 5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -405, 10, -25, 0.5, -0.4, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5971465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.46944 and -0.007.\nAnswer: 0.02428608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -440 - 40. Let z = v - 38. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 60*k = 61*k - 15, 35 = 5*r + 2*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/20 - (968\/5 + 2). Let k = 12 - m. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 9*h**2 + 28*h - 184. Let u be b(4). Solve -u = 876*o - 872*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -113, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 minus -0.0562?\nAnswer: 5.0562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/3220)\/(1\/23)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*n + 5 = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14383 + -3200. List the prime factors of r.\nAnswer: 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 405041419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 2346 = 4*a, -3*a - 428 = 2*v + 1331. Let w = 33351\/20 - 10773\/10. Let p = w + a. Is 5 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386210.\nAnswer: 2, 5, 11, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 252.3 - 252. Let x = 169\/118 + 4\/59. Let n = -0.2 - -0.18. What is the third smallest value in -1, r, n, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*n + 9. Let l(i) = -2*i**2 + 2*i + 2. What is l(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.401848 rounded to 2 decimal places?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 201, 0, 4, 3, 1, -6 in decreasing order.\nAnswer: 201, 36, 4, 3, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6383 - 0.6783. Put 0.322, u, -1\/3 in descending order.\nAnswer: 0.322, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.343331kg in nanograms?\nAnswer: 1343331000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -17*x**2\/2 - 2*x + 11. Let g be b(-2). Let u = 33 - g. Is u at least as big as 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 3 e when four letters picked without replacement from yyeeyyyyyyyyeyyyey.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12585157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 119175 and 69321.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 8.570962 milliseconds?\nAnswer: 8570.962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 3) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 100 + 3 - 0\/3. Suppose -2*z = -i + 39. Find s, given that 2*s**2 + 56 + 10*s - z - 24 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.277320276 and -24.587.\nAnswer: -24.309679724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 815 divide 13757158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4, 2\/59, -0.5, 5, -1\/9, -5.6?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 2) + (21 - 23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -147 - -83. Let p = 54 + x. Which is the third biggest value?  (a) 1\/4  (b) p  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/6 and 163\/11520.\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = -5*q + 3*l + 200, q - 2*l - 34 = 0. What is the lowest common multiple of 9 and q?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -0.597, -756.2?\nAnswer: -756.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o - 9 = 7. Let k be o\/(3 + (-1372)\/460). Suppose -3*r + 5*a + 54 + 61 = 0, 4*r + a - k = 0. Calculate the greatest common divisor of 45 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(-1\/2)*u)**(-12)*u*u\/(u*u**(-2\/15))*u\/(u\/(u**2\/u))*u assuming u is positive.\nAnswer: u**(-403\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-15)*(-2)\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -3*m - 13. Let p(n) = -n**3 + 2*n + 2. Let t be p(-2). Let o = -12 + t. Let i be g(o). Which is the smallest value?  (a) -0.5  (b) -0.4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 12685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 2*m**3 + 6*m**2 - 36*m + 68. Give p(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1316\/(-42))\/((-1428)\/1050) + (-2)\/51.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -408 by -8.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.4 or -1.84?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q + 2 - 2)*(2 - 4 + 1)*(-4*q**2 + q**2 - 7*q**2).\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1246 and 16836750?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -7 + 91\/7 + -1. Solve 4*b - 8 = -v, -y*v - 3*b = -7*b + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, -3, -2, 224, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-1\/17))**(-30))**15)**(-4\/19) assuming u is positive.\nAnswer: u**(-1800\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7544856 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/286870470 and -87\/202850.\nAnswer: 1434352350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2251281 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/15883 and -133\/6?\nAnswer: 95298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-4) - 0)*-10. Suppose m*i = -0*i + 60. Let l(a) = -a**2 + 4*a + 142. What is the remainder when l(-8) is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4\/(-8) - (-167)\/2 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 + 18*s**2 + 35*s + 97. Give d(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225 is divided by 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 60, -0.4, -0.036 in decreasing order.\nAnswer: 60, -0.036, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -35982\/24613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -19363481*b + 30879042 with respect to b.\nAnswer: -19363481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24546 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 542, 3129, 9748, 22415, 43146, 73957, 116864, 173883?\n\"Answer: 336*z**3 + 235*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, r: 6, m: 5, q: 1, k: 3}. What is prob of sequence kkk?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 111 (base 9) to base 13\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of -2*c**4\/3 + c**3\/6 - c. Suppose -4*l - l = -4*p + 9, 4*p - l = 5. What is r(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 751 divide 10796787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 5 + (2 + -4 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18.27, -5, 0.4, -210, 1 in decreasing order.\nAnswer: 1, 0.4, -5, -18.27, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 155*q**2 + 8*q. Let o(s) = -159*s**2 - 10*s. Let b(c) = -5*f(c) - 4*o(c). Let t(g) = g. Give b(t(u)).\nAnswer: -139*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - v + 405 = 411, v = -6*c - 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1956053 (base 10) to base 8\nAnswer: -7354325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 4:25 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10)\/6*5\/(10\/(-72)). Factor -229*l + 484*l - z*l**2 + 5*l**3 - 160 - 75*l.\nAnswer: 5*(l - 8)*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4289 - 4293. Let c = -2 + 2.1. Sort y, 0.3, c in descending order.\nAnswer: 0.3, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 69694, 280857, 632794, 1125505, 1758990?\n\"Answer: 70387*s**2 + 2*s - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 806*k - 822*k + 10 + (-1 + 0 + 3)*(4 - 4 - 2*k))*(2*k**2 + 0*k**2 - k**2).\nAnswer: -20*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 155371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3\/808 + 57781\/2424. Let s = 432383\/20 - 21624. Find the common denominator of a and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 3*s - 2*o, -3*o - 8 = s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7782498 to the nearest integer?\nAnswer: 2790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -133\/67 in 0.4, 3\/5, 4\/5, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -b**5\/10 - 7*b**4\/6 - 7*b**3\/3 - 11*b**2\/2 - b + 4. What is the units digit of r(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 2*o + 110, 4*o + 47 = 3*t - o. Suppose 0 = -28*r + t*r + 30480. Suppose a - r = 7*a. Round a to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -61 - -76. Solve 3*b = -3*d - b - y, b + 5 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*r**5 + 380*r**4 + 9230*r**3 + 64480*r**2 - 158195*r + 84100 = 0. Calculate r.\nAnswer: -29, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kwcwkwkkkkw. Give prob of picking 1 w, 2 k, and 1 c.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-12)\/(-10) - 2)\/((-3)\/15). Solve -4 = -x*u - 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - 6d?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 100 and 293950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136769.\nAnswer: 136769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/6 - ((-47)\/(-2))\/((-3)\/2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (-4)\/6)*((-205485)\/350)\/103\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60 = 36*y - 32*y - 4*l, -3*y = l + 19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - 2\/(4\/10). Let x be ((-12)\/(-9))\/(18\/(-27)). Put r, -1, x in increasing order.\nAnswer: r, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-48)\/(-480)*(2 - -16)*10. Solve 48 = -66*g - i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = 1111 - 1095. Suppose -178*f + 5*z + 10 = -180*f, z = f - t. Factor -18\/11*m**3 + 0*m - 2\/11*m**5 - 12\/11*m**4 + f + 0*m**2.\nAnswer: -2*m**3*(m + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 731, 732, 733, 734, 735?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -72 + 152. Suppose -l = 4*h - 124, -3*h = -3*l + 7*l - i. Calculate the greatest common divisor of 256 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.111764 * 274\nAnswer: -30.623336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 457338173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -1. Let s(g) = -38*g + 1438. Let m be s(0). Suppose 3*n + 1444 = m. Let b(d) = d - 10. What is n*b(y) + 18*x(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8)\/4 + -1 + 42?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -989.6 - -856. Let m = i - -108. Let q = 19 + m. Round q to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-24)\/(-6))\/16)\/(22\/44)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 246 divide 10923152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*g = -46*g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2212 + -2209. Solve 8 = 4*g + 2*b, -19*g - r*b - 18 = -23*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-60 + 10 + -14)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 9:48 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2*f = 1045. Suppose 43516 = 603*p - 35*p - 62*p. What is the remainder when p is divided by f\/(-9) + 6\/(-27)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 291*y - 1 + 93*y)*(-y**3 - 3*y**2 + 3*y**2).\nAnswer: -384*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -4*a**2 - 259*a - 2817. Give s(-11).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*1*sqrt(1900).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*t - 2682 = 2609 - 5843 for t.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40*w - 107*w + 16*w)*(6*w**2 - 4*w**2 - 3*w**2) + 4*w + 7*w**3 + 3*w**3 + w**2 - 8*w**3.\nAnswer: 53*w**3 + w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -3*f**3 - 59*f**2 + 16*f - 95. Calculate n(-20).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 6644947 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 - (42\/10 - (-60)\/(-75)). Which is the third smallest value?  (a) -1  (b) k  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 9 = 5. Let n = 1.7 - 11.7. Let h = 9.6 + n. Which is the nearest to t?  (a) 1\/6  (b) -10  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 17, -1\/4, 1\/2, -0.172?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(126) - sqrt(14))\/(-6*sqrt(8))*-5 + 0.\nAnswer: 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of -h**5\/20 + 5*h**4\/6 - 3*h**2\/2 + 4*h. Let m be j(10). Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -287\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7833342 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 0*w**2 - 3 + w**2 to the form v*w + s + l*w**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = v + 5*n, -2*n = 2*v - 3*n + 9. Let o(a) = a**2 - 7. Let w be o(v). Factor 799*i - 2 + 2*i**w - 799*i.\nAnswer: 2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 62 = 2*s - 11, -4*s = -4*t + 36. Find the second derivative of -t*g - 49*g**2 - 31*g**2 + 67*g**2 wrt g.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -343 - 154 = 71*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 3:46 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 + 36 - (-1 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*b + 8827770000 = -3*b + 2*b. Round b to the nearest 1000000.\nAnswer: -420000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/12)\/(-7) - 1\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.055 and -6.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20302310223 + -3?\nAnswer: -20302310231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 16*y. Let r(n) = -13 - 4*n - 5 + 18. What is r(m(g))?\nAnswer: -64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 204 - 197. Suppose -b = -39 - n. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qfyyfqyqyqqyyqq. What is prob of picking 3 q?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1729\/(-1078) - (11 - ((-48)\/(-4) + (-867)\/714))?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -85*k**4 - 8*k wrt k.\nAnswer: -1020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2. Let n(q) = -4970*q**2. Calculate z(n(k)).\nAnswer: -24700900*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -b3c94 (base 13) in base 7?\nAnswer: -2513301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 3*y**4 + 219*y**3 + 603*y**2 - 1875*y + 1050 = 0.\nAnswer: -70, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14423 + 21968. List the prime factors of n.\nAnswer: 3, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in -0.2, -3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -478, 4, -2, -4 in descending order.\nAnswer: 4, 3, -2, -4, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1507251)\/437589 + 1 + 0\/(-1) + 2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 5*m**2 + m - 4. Let p = 75 + -84. Let y be j(p). Suppose 0 = 11*n - 15*n + y. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 - 3*p**2 - 4*p + 3. Let n be y(4). Suppose n*u - 36 - 30 = 0. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.63 + 1.7. Let w = -2.07 + r. What is the closest to 1\/4 in -2\/5, w, -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 - 5*q. Let h be t(-7). Let l = h - -33. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104\/91*14\/20.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + -1)*(-24)\/45*45\/(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 + -6 + (-8 - -3) + 19 - -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 117650 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 + 22. Suppose -4*n = -8*n + 20. Let s(f) = -n*f**2 + 2*f**m - 5*f**2. Let y(r) = -3*r**2. What is s(y(c))?\nAnswer: -72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 2*q - 52 = 36, 206 = 5*k - 2*q. Calculate the greatest common divisor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1588 (base 11) to base 13\nAnswer: -c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -52020*h**3*q*x - 3751*h**3 - 174*h**2*q*x + 119*q wrt x.\nAnswer: -52020*h**3*q - 174*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7892, -15791, -23692, -31595, -39500?\nAnswer: -47407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*x**2 - 1)*(-4 - 4 - 1)*(4 - 4 - 1).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-108)\/574)\/3)\/((-3)\/(-1)*(-44)\/308).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(352)*2 + sqrt(352)) + sqrt(352))\/(-4*sqrt(50) + sqrt(162) + 1*sqrt(162)) + -3.\nAnswer: -3 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8537 is divided by 8353.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5353, 5343, 5333, 5323?\n\"Answer: -10*w + 5363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 1 - 1)*(-2*v + 0 + 0) - 21 - 12 - 42*v + 35)*(309 - 403 + 380) to the form g*v + i and give i.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2\/7 + -1\/7. Let t = 17 - 22. What is the smallest value in s, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - n - 4*n - 5, 4*a + 22 = 2*n. Let f = 9 + a. What is the third biggest value in -3, -0.2, f, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, -1\/5, -0.3, -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 82386291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2b - -a?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-36) - (-748)\/(-99)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (12\/(-5))\/(39\/(-3250)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = -499 - 285. Let b be 4\/(-3)*42\/i. Put b, 0.15, 0.3, -3 in ascending order.\nAnswer: -3, 0.15, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 66251*i**2*o - i**2 - 2*i*o - i - 7*o + 25 wrt i?\nAnswer: 132502*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1 + ((sqrt(128)*1 - sqrt(128))*5)**2 + (-2*sqrt(128) + -2 + 4)**2 + -4.\nAnswer: -64*sqrt(2) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40195, -80397, -120597, -160795?\nAnswer: -200991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 + g + 23)*(4*g**3 - 4*g**3 + 2*g**3) - 2*g + 2*g - g**4 - 3*g**4 + 6*g**4 - g**4.\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 10. Let g be (-3)\/1*l + -1. Let f = g + 15. Calculate the lowest common multiple of f and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0599 - 0.4401. Which is smaller: n or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 9472 = 2*n, -3158 = -a - 26*n + 25*n. Calculate the greatest common factor of 36 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.588978nm in meters?\nAnswer: 0.000000004588978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.8*2.5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -19875 (base 13) to base 9\nAnswer: -75253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 plus 0.05?\nAnswer: 462.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127700?\nAnswer: 2, 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/77)*((o**(-1\/30)*o)\/o)\/o)\/((o*o\/o**9*o)\/(o**(-15\/4)*o)))**49 assuming o is positive.\nAnswer: o**(72527\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 14\/3 - 20\/(-60). Let u = -3 - -8. Suppose -4*q = u*s - 12, -12 = -4*q - s + 6*s. Solve c = q*i - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3672 and 612.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-d + 2 - 2)*(-5*d + 5*d + 2*d)*(-476*d - 344228 + 344228) to the form a + u*d**2 + c*d + v*d**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/49)\/((-55)\/(-77)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6112606889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 + 24\/((-9)\/3). Let p(n) = n**3 + 11*n**2 - n - 15. Let z be p(c). Let g(j) = j**2 + 3*j - 3. What is the smallest common multiple of g(z) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 122250.\nAnswer: 978000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**2\/9 + 5012288*m\/9 - 3341528\/3 = 0. What is m?\nAnswer: -2506146, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/24 + (-663)\/136.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {x: 2, g: 2, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 331594362 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -15, 15, 43, 69, 93, 115?\n\"Answer: -y**2 + 33*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -333 = -2*f + 2*o - 3*o, 3*f = 2*o + 496. Let p(s) = 21*s - 252. What is the remainder when f is divided by p(14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 19 + ((-104 - -27) + -2 - -36)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2191 and 31254615.\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -31.032 and 129577935?\nAnswer: 129577966.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 4*f + 3*f - f - 3*f. Let z(d) = 2*d. Give z(h(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 2*o - 14 + 10 = 0, -5*j - 3*o + 27 = 0. What is v in 2*v**4 - 57 + 60*v**3 - 135 + 5*v**4 - j*v**4 + 144*v**2 - 16*v + 0*v**4 = 0?\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13692037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 4*u - u)*(4 - 2 + 3)*(-u**4 + 12*u**4 - 6*u**4).\nAnswer: 50*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27 and 4141272771.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -79\/380 + -1061\/19. Let u = -56 - o. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 5*q = -4, -38 = 1339*z - 1342*z - 5*q for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-107)\/11877)\/((-6)\/18)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 2 w, and 1 l when four letters picked without replacement from wkbwlbbkkw?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -3*j**4\/8 - j**2. Suppose 2 = -6*u + 6 + 2. Determine y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 1:56 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 7.447655 millennia?\nAnswer: 744.7655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uwc when three letters picked without replacement from {c: 5, w: 4, u: 2}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**3 - 6*y**3 + 7*y**3 + 0*y**3 - 3*y**3 + 3*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*n + 30 - 48 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**2)**0*a**(-2\/39)*a*a**(3\/2)*a assuming a is positive.\nAnswer: a**(269\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of 13*c**5\/5 + 115*c**4\/4 + c**3\/3 + 1228*c**2 + 2822. What is the second derivative of y(m) wrt m?\nAnswer: 156*m**2 + 690*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139*w + 7459 = 648. Calculate the remainder when 132 is divided by w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 633*l - 15268. Give a(23).\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2406161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8901 - -8906. Solve 0*b = 4*b + 2*y + 14, 5*y + 25 = -n*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2310 + 2315. Let p(g) = g**2 + 7*g + 9. Let n be p(-6). Which is the third biggest value?  (a) -0.4  (b) j  (c) -0.2  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 136\/(-68)*(-8)\/584\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1063172, 1063162, 1063090, 1062926, 1062640, 1062202?\nAnswer: 1061582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21441 (base 6) to base 10.\nAnswer: -2977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hzzyyh. Give prob of sequence zyyh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -80*r - 1793. What is y(-23)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1575\/630*((-168)\/(-10))\/(-3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-6)*444\/148?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -317 + 553\/2. Let z be (-4501)\/49 + (-2)\/14. What is the common denominator of z\/(-10) + 3\/1 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 5 - -21) + -3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(2\/7)*p**2)**(-21)\/((p**6*p*p**(-4)*p*p)\/(p**(2\/5))**(2\/67)) assuming p is positive.\nAnswer: p**(-20766\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 3*h + 22, 0 = h - 5*b + 2*b + 2. Let f be ((-6)\/h)\/(3\/8). Solve 3*o + 2*a - 10 - f = 0, 5*o = a + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 - 23*x + 238. What is a(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8\/(-14))\/((-2)\/7). Suppose 4 + 44 = z*a. Let q be 27\/12*a\/9. Solve -3*i - 2*t + 4*t - 1 = 0, q = 4*i + t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -843 - 2107452.\nAnswer: -2108295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.2 and -77217125.\nAnswer: -92660550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 divided by -55635.\nAnswer: 43\/55635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-606)\/(-505)*-10*1\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 886 divide 1186812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 9*w**3 - w**3 - 2 + 3. Let y be n(-1). Let d = 5 + y. Put 4, -5, d in decreasing order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.899 - 0.101. Sort 0.4, t, 19, 5, -10 in ascending order.\nAnswer: -10, t, 0.4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**3 - 4*a**2 - 3*a + 2. Let l(c) = c**2 + 166*c + 1553. Let n be l(-10). Let y(g) = -8*g**3 + 9*g**2 + 7*g - 5. Give n*f(p) - 3*y(p).\nAnswer: -4*p**3 + p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 2*u = -8, -175*u - 16 = 3*b - 171*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t - 4 + 4)*(37 - 77 + 110)*(-t + 4*t + t)*(t**2 + 2 - 2).\nAnswer: 280*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (127 - 128)\/(4\/(180\/(-69)) - -2)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 354954710 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1298 (base 10) to base 15\nAnswer: -5b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -9*s**2 - 2*s + 10. Let k(a) = 5*a**2 + a - 5. What is 11*k(u) + 6*z(u)?\nAnswer: u**2 - u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 8*q**3 - q**2 + 2*q - 1. Give j(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1512004642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1572, 1510, 1408, 1266, 1084, 862, 600?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of k**7\/21 + 7*k**4\/4 - 3*k**3\/2 + 23*k. Find the second derivative of u(s) wrt s.\nAnswer: 40*s**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*s**4 + 44*s**3 - 2*s + 68?\nAnswer: -60*s**2 + 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**5 + 0*s**5 + 2*s**5 + 2*s**5 - 3*s**4 + 3*s**4 + (-2*s**5 + 4*s**5 + 0*s**5)*(-4 + 6 - 1) + 0*s**5 + 3*s**5 - 2*s**5)*(1 - 1 + 2)*(2 + 0 - 3).\nAnswer: -14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 13*t + 1. Is 31 a factor of p(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -42 + 60. Let l be (8\/20)\/((-3)\/(-15)). What is the least common multiple of (11 - (1 + l))\/1 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 10:35 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 220940205 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 377 + -368.97. Let y = 8 - v. Round y to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 2 - (-3 + 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hzyy when four letters picked without replacement from ylyzyzyyyyyyhz.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -6, -3, 6, -2, 2, -43?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 15. Let j = v + -8. Suppose 2*l + 72 = j*l. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 100 and 80588.\nAnswer: 2014700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 2 - 6 = 0. Let c be (-3)\/9 - 20\/(-6). Let q be 23 + 6*(-3)\/6. Solve -q = c*w + k*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.7 + 2.7. Is w bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -3*i**2. Let x(l) be the first derivative of 71*l**2\/2 + 895. What is x(v(a))?\nAnswer: -213*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v**2 - 99*v**2 - 1728*v**2)*((0*v**3 + 0*v**3 - v**3)*(-4 + 3 + 0) - 2*v**3 + 2*v - 2*v - 3*v**3 + 0*v**3 + v**3).\nAnswer: 5469*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2204 (base 5) to base 7\nAnswer: -613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 71 + -757?\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1326640*a**2 - 486789*a wrt a?\nAnswer: -2653280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200 = 5*m - 5*o, -m - 1119*o + 40 = -1121*o. Calculate the greatest common divisor of 1864 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2418194197017 and 421.\nAnswer: -2418194196596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 410 divide 1383518350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 283*v + 81*v + 39*v - 54*v as r*v + q and give r.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115530 is divided by 17289?\nAnswer: 11796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 + 5*n - 88. Let u be o(7). Suppose 3*h - 2*h = -4*y + 12, -4 = -4*y + h. What is the biggest value in u, -9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -65 (base 9) to base 2.\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 257, 518, 779, 1040?\n\"Answer: 261*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 11129*k - 64675. Determine a(6).\nAnswer: 2099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(8\/11)\/(s**(-15)*s))**(-2\/49) assuming s is positive.\nAnswer: s**(-324\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 253455?\nAnswer: 3, 5, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11445 - -4?\nAnswer: 11450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 + 7.5. Let z = r + -14.3. Let i = -14 - z. Which is the closest to -0.1?  (a) 2\/15  (b) -0.5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -19*g - 5. Let r be n(-1). Suppose 34*a = -r*a + 77616. What are the prime factors of a?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0699 - 400.7699. What is m rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 122 = 3*j, j - 1 = o + 29. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 327 a factor of 9667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 267430?\nAnswer: 2, 5, 47, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -347, -342, -339, -338, -339?\n\"Answer: -d**2 + 8*d - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**1\/u*u)**38*(u*u**(-1\/15)*u)\/(u**4*u)*(u*u*u\/u**(2\/5))**(-36)\/(u*(u\/(u*u**(-7)))\/u*u*u*u\/(u\/(u\/(u*u\/(u**1\/u)*u)))) assuming u is positive.\nAnswer: u**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -136644 by 386.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.3, 5, -43, 5\/4, -4.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of -s**6\/60 + s**5\/50 + s**4\/8 - s**3\/30 - 2*s**2\/5 - 2*s\/5 + 48. Factor m(r).\nAnswer: -(r - 2)**2*(r + 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ts when two letters picked without replacement from {z: 3, r: 2, t: 1, c: 4, s: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, s: 8, a: 1}. What is prob of sequence ays?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 170 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -139 - -138.99999913. What is p rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -107*m**2 + 27151 - 27151 as d*m + v*m**2 + c and give v.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 4*n + b, 3*n - 3*b - 2 + 5 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0087430044 rounded to 4 decimal places?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14389 - -14382. Let p(u) = -u**2 + 34. What is p(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*a + 7*a**2 - 6*a)*(-3 - 1 + 3) - 3*a**2 + 3*a**2 + 3*a**2 to the form i*a + x*a**2 + y and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-70)\/4)\/(510\/204)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -103, -1, 5, -1.016?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4690187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 7:07 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**0)\/(q\/q**0))\/(q\/(q\/(q**(-2\/11)*q)*q)*q*q*q**2*q))\/(q**(1\/3)\/(q**(3\/7)\/q))**(-20) assuming q is positive.\nAnswer: q**(3067\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/70)\/((-7)\/(-28))*28.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 3:00 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 + 18*f + 18. Determine h(17).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 39 = 2*i, -2*i + 5*z = -i - 13. Let r = 3 - -18. Let a = i + r. Calculate the highest common divisor of a and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 + 8*j - 1. Let x be h(8). Is (0 + x)\/(4\/(-1052)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -13017, -26002, -38979, -51948, -64909, -77862, -90807?\n\"Answer: 4*u**2 - 12997*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7017911 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 minus -34726?\nAnswer: 34711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 266 - -5?\nAnswer: 26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-5 + 3 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(3\/7)\/v)\/v*(v*v*v\/v**(-22))\/v assuming v is positive.\nAnswer: v**(157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 268 + -1986?\nAnswer: -1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2604 and 5208?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 146\/11, -0.1, 1\/81, -0.2, 33?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.8 + 1.1. Let x = 1.4 - 1.3. What is the third smallest value in 3, x, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 53 + -1 + -12 + (-441 - -448)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 10719.99 micrometers?\nAnswer: 0.00001071999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 132, 310, 548, 840, 1180, 1562?\nAnswer: 1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 22*b**2 - 19*b - 50. Let g(i) = 54*i**2 - 48*i - 129. Give -18*a(v) + 7*g(v).\nAnswer: -18*v**2 + 6*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24423950.\nAnswer: 2, 5, 661, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r**2 + 31*r + 25. Let a be t(15). Let q = a + -287. List the prime factors of q.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 114 = -3*x + 15, -4*n - 76 = -2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 (base 11) in base 2?\nAnswer: 101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.439017 centimeters in micrometers?\nAnswer: 4390.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6288 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of 0 + 0*h**2 - 26*h + 19\/6*h**3. Let d(s) be the first derivative of s**3\/3 - 1. Give q(d(g)).\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 64\/70 + (-1)\/1. Let w = 14 - 100\/7. Let q = w - x. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156 + 102 = -c. Calculate the remainder when 158 is divided by c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 36 = 16*m. Put 0.3, 1, m, -8\/7 in ascending order.\nAnswer: m, -8\/7, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 133*h + 4*h - 6 + 42*h.\nAnswer: 179*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 45*i + 227. Let x be h(-5). Let p(a) = -a. Let g be p(-3). Suppose 6*j = g*j. Solve j = -u + x*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1670872 + 13?\nAnswer: -1670858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-144))\/(-2*2\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f + f = 0. Let y(m) = -m**3 - m + 120. Let d be y(f). List the prime factors of (-158)\/(-12) - 20\/d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2190299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -753\/133 + 75\/19. Find the common denominator of 79\/14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r + 9. Determine i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -1. Let r(v) = -v - 3. Let o = -67 - -66. Calculate o*r(l) + 2*d(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -11100101101 (base 2) to base 13\nAnswer: -ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306*w - 253\/2*w**2 - 162 - 1\/2*w**4 + 17*w**3 = 0 for w.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of 37\/36*r**4 + 0*r**2 - 5*r + 0 - 8\/15*r**5 + 1\/18*r**6 - 5\/9*r**3. Factor c(v).\nAnswer: v*(v - 5)*(v - 1)*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r + 24. Let w(l) = l + 12. Let z be -1*(1 - 2) - 8. Let x(o) = z*w(o) + 4*p(o). Is x(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109958663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, n: 2, y: 2, x: 1}. Give prob of picking 1 b, 1 x, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -7193161\/12 != -599430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - (-35)\/(-21)*-3. Solve 17 = y*z + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -780 <= -1042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 86 and 81184?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2*h + 13 = 0. What is the highest common factor of h and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3825401786 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/28*(-16)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 6*u**2 + 4*u - 2. Let k be g(-5). Suppose -6*l + 12 = -k*l. Suppose -4*f + 124 + 56 = l*c, 3*f + 110 = 2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 9 + -6 + (10 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-4))**(-6\/37) assuming o is positive.\nAnswer: o**(18\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) -0.676  (b) -2\/3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of -3*u**5\/10 - u**4\/24 - u**3\/6 + u**2 - 4. Let d(b) be the second derivative of c(b). Give d(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*s + 116*s - 236*s as z*s + r and give z.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 414.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 237*b + 236*b - 22 - 481*b to d*b + s and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 41, 95, 163, 239, 317, 391?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(1300) + -2 + sqrt(1300) + 1) + ((sqrt(13) + sqrt(78)\/sqrt(6))*-6 - sqrt(78)\/(sqrt(6)*-3)))**2.\nAnswer: -1580*sqrt(13) + 2028649\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1546 + 5?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 2*v = c - 18, 4*c - 4*v - 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.74 - 0.24. Let w = d + -0.02. Which is the second smallest value?  (a) 2\/3  (b) w  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.4, -4, 2\/9, -3, 1\/5, -0.0708?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from {n: 1, z: 1, y: 2, i: 1, r: 2, m: 8}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 8 - 9 + 6 + 6 - 3*v. Let j be t(2). Suppose 0 = -5*x - j*m + 1005, 43 - 865 = -4*x + 2*m. Is 34 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 7200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 254256664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 6*p**2 - 2*p + 4. Suppose -2*l + 5*l = 0. Suppose -1 = -o + 5*f + 1, l = -2*o - 3*f + 4. What is the units digit of t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -325796 at least -325795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + -4. Suppose 35*x - 60 - 115 = 0. Which is bigger: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of t**4\/6 - t**3\/2 + t**2\/2 - 6*t. What are the prime factors of x(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 30 = -3*q, -b - 4*q = -11 - 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 - 1. Let x(i) = -4*i**3 - 3*i**2 + 2*i - 10. Determine -5*o(f) + x(f).\nAnswer: f**3 - 3*f**2 + 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 98\/(-112)*(-1150)\/175\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 3924*a**2 + 2*a**4 + 2 - 2*a + 3924*a**2 to s*a**2 + d*a + n*a**3 + b*a**4 + t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-65)\/(-117))\/((-25)\/(-70)). Let f(y) be the second derivative of -y**4 + 4\/3*y**2 - 15*y + 0 + i*y**3. Factor f(n).\nAnswer: -4*(n - 1)*(9*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5651 is divided by 804.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1297710750 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/151416 and -2\/729?\nAnswer: 4088232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 PM and 2:36 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 + 9*o**2 + o - 7. Let h(d) = -2*d + 31. Let r be h(14). Suppose -r*l + 5 = -4. Calculate the remainder when l is divided by t(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(-160)\/(-2500)*10\/8?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 516 = -20. Is 3 a factor of (k\/18)\/((-18)\/(-27))*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, -2\/7, -4, -74?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 315 and 2023.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*b - 166 - 51 = 223 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 4*h - 7017 = 0, 171*m - 166*m + 5*h = 11705. What are the prime factors of m?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 28 = -5*g + 4*h, g + 2*h = -7. Suppose -3*j = g - 12. What are the prime factors of ((-14)\/(-6))\/(j\/18)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 3 - 5 - 2*m**2 + 0 + 3*m**4 + 4*m to the form u*m**3 + c*m**4 + k*m**2 + v*m + a and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 5427*q - 287625. Calculate i(53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-85)\/(-204)*(-4)\/(-10).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14\/5 or 1.5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 11*d + 961. What is the remainder when h(-69) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -17*k**2 + k + 1. Let y be q(-1). Let n = -4 - y. What is n rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20022 (base 4) to base 14.\nAnswer: -294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 5*a = 0, 0 = 26*t - 29*t - 5*a + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 0*h - 2. Let z = 1.1 + -5.1. What is the closest to h in z, -1\/3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 + -11. Let f be 1\/o*0 - -7. Solve 2*n - 3 = 5*c + 8, -c + 5*n + f = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (1 - (4 + -2)). Let s be (i\/(-2))\/((-4)\/52). What is the highest common divisor of 143 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173654?\nAnswer: 2, 13, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 323310 is divided by 139.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 47 - (-1 - -6 - 2) - (-585 - -589)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24586.15 less than 0.55150038?\nAnswer: -24585.59849962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.1 - -1. Let l = -1.9 + b. What is the nearest to 1 in l, 2\/15, -0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {s: 9, q: 10, z: 1}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/5 + 56993164*a\/5 - 113986336\/5.\nAnswer: 2*(a - 2)*(a + 28496584)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus -4486233.1?\nAnswer: 4486233.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -3*u**2 - 2*u + 66. Let m(b) = 2*b. Calculate m(q(l)).\nAnswer: -6*l**2 - 4*l + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 AM and 1:28 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5791 = -x - 692. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.1 + 3. Let q = 316\/5 - 2834\/45. Let l = -0.8 - 0.2. Which is the nearest to i?  (a) q  (b) l  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2. Suppose -5*h + 0*n + n + 7 = 0, 1 = -4*h + 3*n. Let d(o) = 155*o - 155*o - 18*o**h. What is d(w(v))?\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -242140, 3 in increasing order.\nAnswer: -242140, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 4*d - 6 = 2*o, 3*d = -3*o + 21. Suppose 0 = -o*y - k + 1797, -3*y + 2995 = 2*y - 3*k. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 24643, 49284, 73925, 98566, 123207?\n\"Answer: 24641*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 37*p**3 + 17*p**2 + 17. Let s(q) = -6*q**3 - 3*q**2 - 3. Give -34*s(x) - 6*u(x).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 + 4*x + 2. Let u be q(0). Solve u = -3*g - 5*v, -3*g + 3*v + 2*v = -8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 14169 = -2*q + 14161, -2*q + 3*q + h + 5 = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 3*t = 12046111 + 4953904, 5*k = 4*t + 17000020. What is k rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of 6*w**4 - 6*w**4 + 1 - w**4 + 3*w**4. Let q(x) = -3*x**3. Let r be -2 - (2\/(-7) - 160\/(-70)). Calculate r*g(a) - 11*q(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 19845, -2 in increasing order.\nAnswer: -3, -2, 19845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 10*k = 4*m + 48, 2*k + 2*m = -20 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6427 (base 15) in base 13?\nAnswer: 984a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -15166623 + -4?\nAnswer: -15166627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -60 or -467413?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 12:31 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + b + 4 = 0, -5*r + 26058 = 2*b + 26036 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/13))**(-4\/5)*(b**(-20))**(3\/5) assuming b is positive.\nAnswer: b**(-772\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/78 and -115\/48.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 601, 1410, 2755, 4636, 7053, 10006, 13495?\n\"Answer: 268*p**2 + 5*p + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/9, -2, -2\/11, -136?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*o + k + 29, -o + 41 = -4*k. Suppose 30*j = o*j. Suppose j*d = 5*d - 30. Let v(n) = n**2 - 4*n - 8. Calculate v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 4*d - 98 = 0, 3*f + d - 216 + 44 = 0. Let a = 53 - -6. Is f less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11.602 + 1.368. Let s = k - 13. What is s rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 268 and -1612654018?\nAnswer: 1612654286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63008 = 137*o - 133*o. List the prime factors of o.\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -34\/27061?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.8 + -5.8. Let m = -242 - -166. Let j = m - -381\/5. Which is the third biggest value?  (a) j  (b) w  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*u - 2*u**2 - 3*u)*(3*u + 3*u - 4*u) + 2*u**3 - u**3 - 2*u**3 + u**3 - 2 + 2*u - 2*u to b*u**3 + w*u**2 + d + i*u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 0.2, -13895 in ascending order.\nAnswer: -13895, -1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v. Let h(m) be the first derivative of -m**3\/6 - 49*m**2\/2 + 77*m + 130. Let y(s) be the first derivative of h(s). Determine y(b(c)).\nAnswer: -3*c - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1872 - 229. Let t = -754 + d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 24*d - 60755 + 61163 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -53.82 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 24, 86, 198, 366, 596, 894?\n\"Answer: y**3 + 19*y**2 - 2*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - 16*y + 69. Let q be w(14). What is the highest common divisor of 41 and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(-7)\/91*(-3)\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2192099*w - 1. Let n(j) = -2*j. Determine l(n(d)).\nAnswer: 4384198*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 6 = g, 3*g - 5*g = 4*b + 6. Let l(y) = 11*y**2 - 4*y + 4. Let s be l(b). Find the third derivative of -9 - s*p**2 + 4 - 13*p**5 + 5 wrt p.\nAnswer: -780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 102*u**3 + 15*u - 14. Give q(1).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-6) + 1*-1. Let k = 159.14 - 1.14. Let d = 158.1 - k. What is the fourth biggest value in o, d, -1\/2, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/11 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 682363 is divided by 3674.\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12810 and 20?\nAnswer: 25620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a + 3. Let d be r(0). List the prime factors of 0 + d\/3 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10902013, -21804027, -32706041, -43608055, -54510069, -65412083?\nAnswer: -76314097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53821812 is divided by 7124?\nAnswer: 7116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -156*s - 218. What are the prime factors of z(-13)?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) 4  (c) 5  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4*i = 32 - 6, 17 = 2*v - i. Let n be 61 - 2\/(v\/(-3)). Suppose 3*g - g - n = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 24005*m + 15 - 183856*m.\nAnswer: -207861*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -58.1341 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -1\/2*y**2 - 5 + 7*y. Let j(z) = 2*z - 13. Determine 11*d(t) + 6*j(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 427.0041km to meters.\nAnswer: 427004.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/21)\/(-3*(-2)\/(-63))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -104322 (base 6) to base 16.\nAnswer: -223a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 40 = -2*q, -2*q + 3*q + 47 = 5*h. Suppose 1534 = -2*v + 2*x, -4*v - 2*x = -5*v - 766. Is 1\/(3\/h) + v\/(-2) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in six fifths of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n**3 + 6*n**3 - 13 - n - 9*n**3 + 6*n**3 to r + j*n**2 + x*n + y*n**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(36)*6)\/((sqrt(210)\/sqrt(7))\/sqrt(10)).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -593*q**2 + 1115*q**2 - 540*q**2.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 17390, 5, -1.\nAnswer: -4, -1, 5, 17390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2932627 - 424773 = 5*y. Let j = y + 277480. Round j to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 7*p - 13. Let f be i(9). Let a = 6 - 2. Let v(t) = 4*t**2 - 5*t + 1. Let n be v(a). Calculate the greatest common divisor of n and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2602720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 933558 divided by 3.\nAnswer: 311186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10 - -12) + 30\/(-18). Let p(l) = -l. Let a be p(-5). Suppose a*x = 3 + 22. What is the smallest value in -2\/7, k, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z**2 - 3*z + 6. Let k(x) = -x**2 - x. Suppose 3*c - 112 = 5*c. Let u = c + 53. Let s(o) = u*j(o) + 12*k(o). Factor s(l).\nAnswer: 3*(l - 3)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 divided by -8\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*p**2 + 129*p**2 + 102*p**2 - 65*p**2 in the form z*p + r + o*p**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-16) - (5\/4 - 1). Suppose -t + 3 = -1. Suppose a + 4*a + t = -4*x, -3*a = -x + 16. Put a, z, 4 in decreasing order.\nAnswer: 4, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 558902356 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t. Let q(w) = 94*w + 4181 - 4181. What is q(f(h))?\nAnswer: -94*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 4:58 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*v + 17585 = -66735. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + 9*j**2 - 31*j + 60. Determine n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (1 + -6)) + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffffff. What is prob of picking 3 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (3596\/261 - (5 + 141\/(-27)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5608 + -4?\nAnswer: 5604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4647972 times 12.3\nAnswer: 57170055.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 86*w**2 - 18*w - 104. Let m be c(-11). Round m to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.21 in 3, 1, 1375?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -14*v. Let a(g) be the second derivative of -341*g**4\/12 - 2934*g. Give x(a(b)).\nAnswer: 4774*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -42 + 2 - 2*g + 16*g. Let s be p(5). Calculate the greatest common divisor of s and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 362, 3, 4, 238, -5, -31 in descending order.\nAnswer: 362, 238, 4, 3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-831725)\/(-6800) - 44\/(-64).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10611353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/9139, 1\/3, 28.52?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*r - 20*r**2 + 3 + r + 32*r**2 - 19*r**2 as c*r + v + t*r**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 291 + -2?\nAnswer: 28e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*q + 17694 + 28197. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a. Let x(r) = -19*r**2. Give x(p(h)).\nAnswer: -76*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1394\/3*(4 + 0 + -1). Let n = -968 + c. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**2. Let d(z) = 42*z + 420. Determine d(a(l)).\nAnswer: 84*l**2 + 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/h**1*h))**32\/(h**(-2\/5)*h**(-4)) assuming h is positive.\nAnswer: h**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (66\/18)\/((-891)\/2187)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -8. Is k smaller than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**3 - 53*m**2 - 31*m + 107. What is j(27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of 85*y**4\/6 + 16*y**2 - 141*y. What is the first derivative of t(l) wrt l?\nAnswer: 340*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 951?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (36\/4)\/1 - 2. Suppose o*g = 12*g. Let q = 7 - g. Solve -17 = v + 2*v + 4*j, 0 = 2*v - j - q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + x + 82 = -63, 5*x = 3*u - 87. Let g = 36 - u. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -8*b + 7*b + 549, 3*v + 1587 = 3*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, z: 1, y: 3, k: 2, q: 1}. What is prob of picking 1 y and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43 is divided by 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 43804 and 8789?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -982*j - 2. Let o(u) = u**2 + 38*u. Determine o(s(t)).\nAnswer: 964324*t**2 - 33388*t - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0, 5\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 7*x**3 - 4*x**2 - 6*x - 233. Let o(f) = -17*f**3 + 10*f**2 + 15*f + 465. What is -5*j(q) - 2*o(q)?\nAnswer: -q**3 + 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 12:20 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -294.1 - -294. What is the third biggest value in 4\/5, p, 12\/17, 1?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*x + 143*x + 48*x - 287*x + 45*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 8*x**2 - 2*x + 3. Let v(b) = b**2 - b + 1. Let z(c) = -2*v(c) + w(c). What is the remainder when z(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10130493 to the power of 1\/2, to the nearest integer?\nAnswer: 3183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -3*l - 2*x, -l = l - x - 21. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 142*b**5 - 18*b**3 - 171916*b**2.\nAnswer: 8520*b**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -128 + 275\/2. Calculate the common denominator of -67\/20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-4)\/24*-3*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 111 and 26529.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 294 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i\/(i\/(i**(1\/2)*i)*i)*i))\/(i**(-5)\/i)*i*i\/i**1*i\/i**6 assuming i is positive.\nAnswer: i**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1233*a + 11584 = 871*a for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 - 1284*z - 53444. Determine t(-41).\nAnswer: 2562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10513584 and 648.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c + 10*c - 7 = 4*n, 0 = -3*n + 2*c - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.75721 tonnes in micrograms?\nAnswer: 68757210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(88)*-2 + ((sqrt(88) - (sqrt(88) + -1*sqrt(88)))*5 - sqrt(88) - sqrt(88)))\/(-3*(4*sqrt(200) - sqrt(200))))**2.\nAnswer: 1859\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 >= 3132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 9, u: 7}. Give prob of picking 4 u.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 - 2*a**2 - a. What is k(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.7946 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-15))\/((330\/(-30))\/(-33))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 17 + 214 = d, -3*d = -5*a - 563. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v\/((v*v*v\/(v*v\/v**(2\/5)))\/v*v)*v)\/v)*v)**(17\/2)*v*v\/v**3*v*v**(-1) assuming v is positive.\nAnswer: v**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 74*f - 9*f + 650 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -541145 - -3?\nAnswer: -541142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3*c**3 - c**2 + c - 1. Let t(g) = 1 - g + g**3 - 4 + 4. Suppose -l = -4*z + 2*z + 1, -3*z = 2*l - 5. Let x(j) = z*v(j) - 2*t(j). Determine x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-102)\/(-30) - 15\/(-25). Solve -2*m - 2*k = s, 0 = -m - 25*k + 22*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/20 + 130\/4. Let l be (1*3)\/(432\/f). Let p = 0 - 1. What is the smallest value in 5, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 2*b**2 + 7*b + 39. Let r be y(-25). Differentiate 1100 - 2073 + 105*q + r wrt q.\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.03  (b) -0.056  (c) -0.9  (d) 0.08  (e) 0.069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 + -6. Let x = p - 8. Let c = x + 2.98. Round c to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of 5*s**2\/2 + 26*s + 5. Let x be m(14). What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 3. Find the second derivative of 4*q - 4*q**2 + 2*q**d - q**2 + 2*q**2 wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 686 divide 126723587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12184 is divided by 508.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 + 6*y + 3. Let u be o(5). Suppose v - 3*v = -u. What is the third smallest value in -2\/9, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3575 and 3408600.\nAnswer: 37494600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + 14*m**2 + 25*m + 16. Let d be h(-12). Solve -4*q + b = 4*b + 3, -3*q + d*b + 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4009, 4010, 4009, 4006, 4001, 3994?\n\"Answer: -v**2 + 4*v + 4006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 5*a + 2*l - 424, 3*a = 4*l + 256. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7379.\nAnswer: 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 154*p - 14. Let o(b) = 89*b - 8. Let a(y) = -4*f(y) + 7*o(y). Let c(x) = 0*x**2 - 2*x**2 - 2*x**2. Give c(a(n)).\nAnswer: -196*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.16  (b) -21\/17  (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1824 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.470575 - -4.470575. Let g be 2*(2 - 0)\/2. What is the third smallest value in u, -0.2, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l**2. Let o(s) = -s**2 - 6*s - 1. Let p be o(-4). Let u(m) = -m**2 + 7*m + 2. Let q be u(p). Let b(n) = 2*n**2 - 7*n**2 + n**q. What is b(x(w))?\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -25.8 times 3\nAnswer: -77.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 4*s + 65. What is the second derivative of -s*g**4 - 12*g**3 - 70*g + 12*g**3 wrt g?\nAnswer: -780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51350?\nAnswer: 2, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4450 and 223661450.\nAnswer: 4450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 1 + 0)*(1 + 0 + 0) + (-3 - 2 + 3)*(3 - 1 - 3) + 3 + 2 - 3)*(3*i + 0 + 0).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 + 86 + -30 - (-3 - -12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -36*d + 108. Let f = -555 - -548. What are the prime factors of o(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2*v. Let s(q) = q**2 - 2*q + 2. Let o be s(2). Let m(j) = j**o - 7*j**2 + 2*j**2. What is m(z(c))?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 168989.7 less than -2.984?\nAnswer: -168992.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 + 3*a + 2. Let n be j(-2). Suppose 5*c - 4*r - 37 - 170 = n, -5*c - 3*r + 186 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -744*z**4 - 123579*z**3 + 4194870*z**2 - 32386275*z - 3307500 = 0.\nAnswer: -196, -25\/248, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -32*f + 8. Let b(r) = 11*r - 3. Determine -8*b(h) - 3*y(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1fbf4 + 5?\nAnswer: 1fbf9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 18*x**3 - x**2 + 3*x - 3. Let h(o) = -4*o**3 + 1. What is -5*h(k) - m(k)?\nAnswer: 2*k**3 + k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 2*y)*(y + 2 - 2)*(12*y + 3 - 3).\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*b = -7 - 83. Let i(z) be the first derivative of 9\/2*z**2 + 0*z + z**b + 3. Factor i(o).\nAnswer: 3*o*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-1*sqrt(228)*-4)\/(sqrt(972)*-4)*-6.\nAnswer: -3 + 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of -d**7\/168 - d**5\/60 + 3*d**3 - 8. Let g(b) be the third derivative of a(b). Find the second derivative of g(n) wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (230\/207)\/(15\/162). Solve -41*v + c = -35*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -438902, -877810, -1316718, -1755626, -2194534?\n\"Answer: -438908*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 1. What is the third derivative of -7*o**2 - 6*o**3 - o**3 + u*o**3 wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 192 - 478. Let l = z - -285.841. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -48*a. Let x(u) = 354*u. Give 6*f(o) + 3*x(o).\nAnswer: 774*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 + 35*g**2 - 55*g - 81. What are the prime factors of p(-36)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -21, -4, 1, 75 in descending order.\nAnswer: 75, 1, 0, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.52 * -3120\nAnswer: -1622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34 + 76*c**5 - 78*c**5 + 191 - c**5 + 2*c**2 - 2*c**2 + (1 - 1 - 2*c)*(4*c**4 - 3*c**4 - 3*c**4).\nAnswer: c**5 + 157","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 1 - (18 + -30) - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 76207451?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of v**9\/60480 - v**8\/4480 - 17*v**4\/6 + 23*v**2. Let a(c) be the second derivative of n(c). Find l such that a(l) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 + -30. Suppose r = 2*p - 4 - 4. Suppose p*h + 18 = 58. Calculate the smallest common multiple of 2 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 262086807?\nAnswer: 3, 17, 5138957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 - o + 25. Suppose l + 2*l - 3*f = 69, -3*l - 4*f + 34 = 0. Let s be 2\/9 + (-4)\/l. What is the units digit of b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -17*r**2 + 20*r - 10. Let b(z) = -13*z**2 + 19*z - 8. Let l(x) = -4*b(x) + 3*n(x). Calculate l(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112222002 - -102212002?\nAnswer: 222211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 331564 - 5?\nAnswer: 33155c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 158\/3  (b) 15\/7  (c) 1\/379  (d) 3\/5  (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, i: 1, m: 8, n: 2, d: 1}. What is prob of picking 2 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**2 + 4*f - 3. Let v = -10 - -8. Let j(h) = 1. Let x(w) = v*a(w) - 14*j(w). Factor x(g).\nAnswer: -2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 6:06 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 112 = 7*y, -4*y + y + 15 + 49 = 3*n + y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 + 8. What is the remainder when 19 is divided by 14\/(-35) + (-74)\/w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (15 + (-7 - -4) + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*g + 22 = 2*h, -h + 17 = 3*g. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 9  (b) -2\/7  (c) 0.2  (d) 1\/6  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/((-135)\/(-2)))\/(50\/275*-11)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 621 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 13*x**3 + 54*x**2 - 101*x - 437. What is f(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1  (b) 1\/3  (c) 3  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18211359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 1  (c) 411463\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 137533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 21994, 22047, 22180, 22435, 22854, 23479, 24352, 25515?\n\"Answer: 7*s**3 - 2*s**2 + 10*s + 21979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 299 a factor of 11433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8491468 is divided by 154390?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.1?  (a) 5\/229  (b) -1  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-6)*(m*m**(-3\/11)\/m*m)\/m*m)\/(m**2*m*m\/m**6))\/((m**(2\/5))**8*m\/(m**(-1\/3)*m)*(m\/m**7)\/m) assuming m is positive.\nAnswer: m**(32\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(350))\/sqrt(7) - ((sqrt(192)\/sqrt(6))**2 + 1).\nAnswer: -33 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -66 + 45. Let c be (-2 + (-39)\/q)\/1. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6385 + -6311. Let p = -81 + 192. What is the greatest common divisor of p and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 66*x*y**2*z**2 + 2*x*y**2 - x*y*z**2 + 5*y**2 - 4*y*z**2 - z + 13 wrt z?\nAnswer: 132*x*y**2 - 2*x*y - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 305988521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g + 287. Let r(k) = -38*k**2 - 11*k + 341. Let a(c) = -7*c**2 - 2*c + 62. Let t(s) = 11*a(s) - 2*r(s). Give p(t(x)).\nAnswer: -x**2 + 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4125)\/630)\/11 + (-4)\/(-6).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 3*m + 3, 6*m - z = 3*m + 15. Suppose 4*p + 75 = 99. Let j(o) = 4 - p + 2 - m*o**2. Let x(q) = -2*q. What is x(j(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10228*y**3 - 33248*y wrt y.\nAnswer: -61368*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 72714 (base 9) to base 3\nAnswer: 2102210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 31*k**2 + k - 24. Let w be a(-31). Let j be (2 + 2)*w\/(-110). What is l in 2\/3*l + 1\/2 + 1\/6*l**j = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c - 5. Let a be b(-4). Let m be (a\/3)\/(2\/(-6)). What are the prime factors of (1\/3)\/(m\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1488 divide 96092849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(2\/15))**(1\/78))**(24\/11)\/(((t\/t**(-4))\/t**(-1))\/(t**2*t)**(-39)) assuming t is positive.\nAnswer: t**(-20291\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/5 + 9412*q\/5 - 22146436\/5.\nAnswer: -(q - 4706)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (9 + 14 + -11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 110.53 - 111. Let h = -9 + 8.93. Let r = h - t. Which is the second smallest value?  (a) -6  (b) -3  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 7*m**3 - 292*m**2 - 88*m + 180. Let j be z(42). Does -84.1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*k = -94*k + 80. Let a = 25 + -5. Calculate the greatest common divisor of k and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.004 and -57.\nAnswer: -59.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + (-8 - 0 - -19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of 4*r**7\/105 + r**4\/12 + 3*r**2 + 1. Let y(m) be the second derivative of j(m). What is the second derivative of y(t) wrt t?\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 12 = -t - 45, -t = 3*q + 21. Let r be (-8)\/(-12) + 4\/q. Suppose r = f + f + 2. Put f, -1\/5, -2 in increasing order.\nAnswer: -2, f, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.43 - -3.33. What is the nearest to -3 in 1, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 75\/12 + (-1)\/4. Let h = -2.77 - -0.77. Which is greater: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*p*r**3*z**2 - 27*p*r**2*z + 6*p*r**2 - 611*p*z**3 - 4*r**3*z**3 - r**3*z - 2*r*z wrt z.\nAnswer: -3666*p - 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 313\/4496 + -2\/281. Let j = -23\/144 - k. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0699 and 32.\nAnswer: 31.9301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7220 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7\/21 + (-1)\/6. Which is the third smallest value?  (a) -4  (b) h  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -4*u + 3*u + 360 - 355. Suppose -k - 8 = 4*x, 2*k + 6 - 23 = 3*x. What is q(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k*k\/(k\/(k\/k**(1\/30)))*k)\/k)\/(k**(2\/49)\/k))**18 assuming k is positive.\nAnswer: k**(17313\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1833578755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/15)\/(90\/(-50)))\/(29\/174).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + 2*x**2 + 3*x + 4. Let f be q(3). Suppose -45 = -4*t - 3*d + 7, -4*t + 24 = -f*d. What is the greatest common divisor of t and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 37234, 36401, 35568, 34735, 33902, 33069?\n\"Answer: -833*y + 38067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2955 - 0.4955. What is the second biggest value in n, -1\/10, 1\/6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.1, 4, -128.2, -0.43?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 - -7. Let f = z + 8.65. Round f to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = 5*q + 5*c, -4*q + 4*c - 4 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8106 + 8106. Which is smaller: -1\/1428 or n?\nAnswer: -1\/1428","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2093\/(-483)*(70\/65 + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44 divided by -17.\nAnswer: -44\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wfwv when four letters picked without replacement from {w: 7, f: 12, v: 1}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-3)*n)\/(n*n**(-4)*n))\/(n**(-1))**(8\/5))\/((n**(-1)*n)**12)**20 assuming n is positive.\nAnswer: n**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -4*t**3 - 188*t**2 - 364*t - 180 = 0.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.972 to 2 decimal places.\nAnswer: -3.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 + 11*r - 25. Let a(g) = 2*g**3 + 14*g**2 - 18*g - 9. Let n be a(-8). Let u be k(n). Solve u = -7*m + 6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-11)*a)\/a*a)**50 assuming a is positive.\nAnswer: a**(-500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3642\/35 + -104. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c\/((c**2\/c)\/c))*c)**11\/((c*c**(2\/5))\/c**(-2)))**25)**(-18) assuming c is positive.\nAnswer: c**(-3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -3*h**2 - 4*h + 7. Let x be k(2). Let u be (-3)\/((156\/40)\/x). Let s(b) = -2*b + 12. Give s(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14453384?\nAnswer: 2, 11, 23, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 1074 divide 2406834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 819 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 132 and 5412.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 11 + 29 = 0. Let z(h) = -h - 12 - 2*h - h. Let u be z(-9). Calculate the highest common factor of y and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9845.851ms in nanoseconds?\nAnswer: 9845851000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -2*i**3 - 5*i**2 - 29*i - 11. Let l(o) = o**3 + 2*o**2 + 10*o + 4. Suppose 0 = 194*s - 167*s + 108. Calculate s*j(y) - 11*l(y).\nAnswer: -3*y**3 - 2*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 69*r. Let c(d) = 518*d. Determine -5*c(y) + 37*v(y).\nAnswer: -37*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 18 = 0, 55*h - 5*v = 58*h + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 300.2 rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e77c - -60?\nAnswer: e7dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Put -9, -34, 1, 3, 5, -5, -33 in decreasing order.\nAnswer: 5, 3, 1, -5, -9, -33, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 346 - 301. Let j(f) = 2*f**2 + a*f - 2 + 2 + 19*f**3 - 43*f + 1. Determine j(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z\/z**(-2\/7)*z))**(-48)\/(z**(1\/2))**(3\/29) assuming z is positive.\nAnswer: z**(5547\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 129733.\nAnswer: 2\/129733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -5*g - 72. Let y be z(-16). Let l = 12 - -4. Let u be (-5)\/(-15)*(1 - -5). Solve u*q - l = -3*q + f, 2*q - 4*f = -y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 35 = -2*v - 7*s - 21, 15*v - 15*v = -5*s + 20 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144 and 33261804?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0*i + 5*i = -31, 5*r + 30 = -3*i. Let a(n) = -25 - 4*n + 3 - 8*n + 2. Let j be a(0). Sort -5, j, r.\nAnswer: j, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1598.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**30*b*b**6\/b)\/((b\/b**8)\/b)**(-7) assuming b is positive.\nAnswer: b**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.028?  (a) 2  (b) -0.03  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88486507.\nAnswer: 349, 253543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2908124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 - 15*c**2 - 32*c - 2. Let x be d(16). Which is smaller: x or -248?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -19*n - 247. Let i be y(-13). Let l be 2022 + (0 - 0\/(-1)). Suppose -6*c + i*c = -l. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s - 5*s + s - 5*s + 2*s + 2*s + (0 + 1 + 1)*(-4*s + 0*s + 3*s) - 5 + 2*s + 5 - 3*s - 2*s + 4*s - s + 0*s - s)*(-124*s - 124 + 124).\nAnswer: 744*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -1125052 divided by -281263.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 2*k + 101 = 0, 77*v + k = 76*v + 16. Calculate the remainder when 1\/6 - 1079\/(-6) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 9 - 5. Calculate the smallest common multiple of k and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -40 + 70. Let c = -11 + i. What is the remainder when c is divided by 298\/42 + 6\/(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*d**2 - 5*d**2 + 4*d - 2*d)*(0 + 0 + 1 + (-2 + 3 + 1)*(-3 + 2 - 1)).\nAnswer: -3*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -216, -1\/3, -1.\nAnswer: -216, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 4*m**2 + 2*m + 10. Let q be n(-4). Suppose q*x - 48 = -x. Solve 5*i - x = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -5  (c) 1\/11  (d) -3414  (e) 4  (f) -3  (g) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of -1\/120*o**6 + 0*o**3 + 0 + 0*o**4 - 1\/630*o**7 - 1\/90*o**5 + 0*o - o**2. Let n(y) = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 4, -0.2109, 5 in ascending order.\nAnswer: -0.2109, -0.2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 4  (b) 3  (c) -1\/4  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of -f**6\/120 + 7*f**5\/60 + 5*f**4\/24 - f**3 + 4*f**2. Let k be i(6). Differentiate -k*s + 22*s + 22*s + 21 with respect to s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14546517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20397 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of -j**4\/4 + 2*j**3 - j**2\/2 + 6*j + 1. Let i be p(6). Suppose i*r - 3*r + 42 = 0. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -75501 + 75828.422. Let o = -328 + r. Let z = o + 0.52. Round z to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of -b**3 + 3*b**2 + 2*b - 369. Calculate i(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (2 + -1 + (-1 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-3)*(-12)\/1812. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -11. Let f = 9 + k. Suppose -2*r + 6 = -0*q + 4*q, 5*q = 3*r - 9. Solve 2 = 2*s - 4*x, 3*s + r*x - f*x - 10 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -175 and -5.1216169.\nAnswer: -180.1216169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3\/7*v**3 - 3\/7*v**4 + 0 - 1\/7*v**5 + 0*v - 1\/7*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19118121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -34799.0242 to the nearest ten.\nAnswer: -34800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 56 and 49719670.\nAnswer: 198878680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2024383171?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - 5*w**2 + 2. Let d be u(-5). Solve q = d + 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 17 = y, 4*z - 23 + 7 = 0. Let w(j) = -39*j + 2. Calculate w(y).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**3 + 32*h**2 + 170*h + 300 = 0. What is h?\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1717830379 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 3 = 2*c - 4*c, -5*p = -4*c - 27. Suppose -p*q + 6 = -6. Let t = 12 - q. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-18 - -4) + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 40 + 1104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/5  (b) -1\/3  (c) -4  (d) 0  (e) 33\/17  (f) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -38*d**3 - 4*d**2 + 17*d - 4. Let c(g) = 1445*g**3 + 153*g**2 - 646*g + 153. Let n(u) = -4*c(u) - 153*x(u). Find the second derivative of n(q) wrt q.\nAnswer: 204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 2. Suppose -2*a = r - 9, -2*r + 0*r - 6 = -4*a. Solve a*n + 2 = -2*m, 0*m = -g*m + 5*n + 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-168)\/(-45) + (-6)\/15 + -3. Let y(a) be the first derivative of 1\/6*a**4 + 0*a + 1 + 4\/9*a**3 + b*a**2. Factor y(j).\nAnswer: 2*j*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/19231778 and -15\/16.\nAnswer: 153854224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15132, 30300, 45470, 60642, 75816?\nAnswer: 90992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -3 + 4. Let g be -3 - (v - (1 + -1)). Let f(y) = -6*y**3 + 2*y - 1. Let z(r) = -r**3 + r**2 + r. Let n(d) = f(d) - 5*z(d). Give n(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*q - 24*q - 1 + 1 + 15 + 6 to s*q + o and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -560.33 + 562. Let l = 1.41 - z. Which is the third biggest value?  (a) -1  (b) 5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -51005*f + 51005*f - 3*f**2. Let o(b) be the second derivative of -5*b**4\/4 + b. Determine o(q(i)).\nAnswer: -135*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 40  (b) -0.2  (c) -2\/15  (d) -7  (e) -35  (f) 0.63\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 7:21 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 0.0065032\nAnswer: 0.0260128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32222339*p**4 - 3560641*p.\nAnswer: -386668068*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = r - l + 35, 0 = 4*r - 3*l - 38. Solve -69*x + f = -73*x - 8, -3*x + r*f = 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 + 1721158388?\nAnswer: 1721159075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28537.5m to millimeters.\nAnswer: 28537500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 3:44 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/2 in -0.1, -7, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of 27\/2*s**2 + 4 + 0*s. Let p(d) = -9*d**2 - 5*d**2 + 15*d**2. Give p(c(o)).\nAnswer: 729*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10 - -122)\/8 - (0 - 1). Let h = -4 + 7. Suppose s = -0*m + 3*m - h*x, -m - 3*x - 11 = 0. Solve 0*z = z + m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*h - 40 + 40 + 5*h.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**2. Let v(l) = 270852*l. Give v(w(h)).\nAnswer: 541704*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1610*j**5 - 7 + 1768*j**5 + 8 + (0*j + 0*j + 3*j**2)*(4*j**3 + 0*j**3 - 2*j**3).\nAnswer: 164*j**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -229, -463, -693, -919?\n\"Answer: 2*j**2 - 240*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 8:28 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1378903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of 7 + 0*l**2 + 1\/3*l**6 - 2\/3*l**3 + 0*l**5 + 2*l - 7\/2*l**4. What is the third derivative of x(q) wrt q?\nAnswer: 120*q**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/5*(18 + -3). Let c(a) = 4*a**2 - 6*a - 18. What is the remainder when c(d) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 23*v + 4. Let c(a) = 3*a**2 + 69*a - 11. Let o(q) = 4*q**3 + 8*q**2 + 165*q + 326. Let z be o(-2). Give z*c(f) - 11*k(f).\nAnswer: -f**2 - 23*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k - 6*k + k)*(-k + 6*k - 20*k)*(3*k - 11*k - 6*k).\nAnswer: -420*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of o**5\/15 - 2*o**2 + 15. Let h(t) = 19*t**2. Give i(h(u)).\nAnswer: 1444*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13.05 + -0.98. Let f = -12 + j. Let x = 0.0700057 - f. What is x rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 - 139. Let g = -153.6 - p. What is g rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*y = -12*y - 117*y + 9380 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-4\/3))**50\/(m**(2\/15)\/(m**16*m)) assuming m is positive.\nAnswer: m**(-249\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4194 + -4194.2693. What is o rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-9))\/(149\/(103257\/7700))\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -75.9484 + 76. What is l rounded to 3 decimal places?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.05 + 0.05. Let i = 77553\/51701 + -3\/103402. Which is the smallest value?  (a) -5  (b) i  (c) 0  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 144\/41?\nAnswer: 144\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(99) + (-6*(1*sqrt(99) - sqrt(99)))**2).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4129 is divided by 83.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 81\/19 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -3*f**4\/4 + f**3 - 7. What is the third derivative of s(c) wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28 + 0*q - 29 - q**2 - 203*q**3 + 56 + 0*q to w*q + x*q**2 + n*q**3 + c and give n.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.44179 and 0.3.\nAnswer: 0.132537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(99) - sqrt(99))*5)\/(sqrt(225) + sqrt(225)*2 + sqrt(225) + sqrt(225) - sqrt(225)))**2 - ((1*sqrt(66) + sqrt(66))*4)\/(sqrt(768)\/sqrt(8)).\nAnswer: -2*sqrt(11) + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -19580.46383 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 144 - 127. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1608, -3212, -4816, -6420, -8024, -9628?\n\"Answer: -1604*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g. Let j = -58 - -62. Suppose -4*z = j*p - 12 - 24, -12 = -p - 4*z. Let s(f) = p*f + f + 2*f + 9*f. What is x(s(t))?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -134*f**2 + 302*f**2 - 147*f**2. Let i(o) = 2*o. Determine j(i(w)).\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-45))\/((-2)\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5*t**4 - 2*t**3 - 32410*t**2 + 7678753 wrt t.\nAnswer: 20*t**3 - 6*t**2 - 64820*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 68\/(-44) - (5 - 0)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -178946 greater than or equal to -178947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 AM and 3:05 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 5*b**2 + 3*b - 6. Let v(q) = 14*q**2 + 8*q - 16. Let d(t) = 8*c(t) - 3*v(t). Let w(n) = -76*n. What is w(d(y))?\nAnswer: 152*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32*j*l*r - j*l - 3*j*r - 204*l*r - l - 2*r wrt j.\nAnswer: -32*l*r - l - 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 PM and 1:23 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -7*j**3 - 4*j**2 - 6*j. Let o = 832 + -838. Let f(w) = -w**3 - w. Calculate o*f(k) + a(k).\nAnswer: -k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 14*x**2 - 10*x + 258. Let f be w(-11). Solve 0 = f*z - 4*j, -j - 15 = 20*z - 25*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -100, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -3*p**3 + 2*p**2 - 16*p - 36. Let r be t(-9). Calculate the highest common divisor of r and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 29*c**2 - 5*c - 3. Let r(l) = -44*l**2 + 7*l + 4. What is 5*r(v) + 7*w(v)?\nAnswer: -17*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 744079?\nAnswer: 7, 106297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 56656030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 2*g - 173 + 10*g**2 + 180 + 0*g**3. Let x be o(-10). What is the remainder when 15 is divided by (-1 + (x - -2))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 6*i + 5. Let p be t(6). Solve p*u - 14 = w + 11, -5*w - 10 = -2*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/274403 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 45*b - 188. Give h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1498 - 784. Suppose 1131 = 9*n - v. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (-366)\/36 - 4\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j + 13 - 5 + 2*j as s + p*j and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 97922 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -4 - (0 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -131\/6*s**3 + 55\/24*s**4 + 0 - 35*s + s**2. What is the derivative of y(r) wrt r?\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4*d - 1. What is j(-13)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4847 + 18353 = 694*r - 6620 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -825 + 1393. Let w = j + -567. What is the closest to -1 in -2, 30, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 93 - 74. Let y be ((112\/24)\/(-7))\/(1\/(-3)). Put y, -0.2, p in descending order.\nAnswer: p, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41314.79 milligrams in micrograms?\nAnswer: 41314790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 375 = 3*i, -i - i = 5*p - 262. What is the third derivative of -3*n**2 + 121 - i + 10*n**3 wrt n?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (24\/36)\/((-2)\/(-9)). Solve -h = 3*k - 0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.11 and 263.391.\nAnswer: 263.281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 137784 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 + 16. Suppose 0 = s + 4*l - 83, 4*s + 2*l - 374 = -0*l. Let t = s + -473\/5. What is the nearest to -1\/2 in t, n, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*b - 3*n, 5*n - 12 - 8 = 0. Let o = 2 + -2. Let c = -1 + o. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 265111\/3630 + -97 - 24\/(-1)\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 5*h + 15621 = 31315 - 15644, 0 = 3*u + h - 34 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l**2 + 4*l**2 + 10*l**2 + 2.\nAnswer: 9*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-3*sqrt(192)*1 + 5)*4)**2.\nAnswer: -3840*sqrt(3) + 28045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3\/2  (b) 0.3  (c) -2\/13  (d) -248\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2738*o**2 - 4205*o**2 + 1747*o**2.\nAnswer: -5196*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-90)\/(-48)*(-24)\/(-20))\/3.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(sqrt(3) + 1*sqrt(48))*3.\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 57 + -225\/4. Let d(t) be the first derivative of 0*t**2 - w*t**4 - 1 + 0*t + 1\/3*t**3. What is the third derivative of d(u) wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25 + -25.5. Which is the biggest value?  (a) -3  (b) x  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -e - 67?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*z + 45*z - 24*z + 1466*z**2.\nAnswer: 1466*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(70)\/(sqrt(40)\/sqrt(4)) + sqrt(28)\/sqrt(4) + 0) - (sqrt(42)\/(sqrt(96) + sqrt(6)) + -1)*1)**2.\nAnswer: -62*sqrt(7)\/5 + 6752\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1030 + -1012. Suppose -8 = 4*t, 9*t - 4*t = 5*x - 10. Solve -b*l + 5*l = x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29738 is divided by 7434.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 - 8*g - 10. Let k(f) = f**2 + 9*f + 9. Let z(v) = 5*k(v) + 4*q(v). Let x be z(-13). Suppose 0 = 9*j - x*j - 60. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + 5 - -2) + (-3 - 3 - (13 - 7))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyzzzyyyzyyzy. Give prob of sequence zzzy.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 1671 = -1673 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 5*f + 3669 = 0, -3*f + 23 - 8 = 0. What is m rounded to the nearest ten?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f + 9. Let s be x(4). Suppose -5 = -j + s*c - 2*c, 5*c - 10 = -2*j. Let r = 321 + -316. Is r less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15360 divided by -64754.\nAnswer: 7680\/32377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 404274b + 4?\nAnswer: 4042750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 o when four letters picked without replacement from oeeeeoeefefee?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o + 2*s - 10, 2*o - 2 = 5*s - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 + 80*z + 75.\nAnswer: 5*(z + 1)*(z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 5*k + 5 - 22 = 0, 0 = 5*n + 5*k + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, c: 4}. What is prob of sequence cyc?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/48*2)\/((-2)\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26*v**4 - 168464*v**3 + 2863704*v wrt v.\nAnswer: 312*v**2 - 1010784*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 135, 0.4, 1404\/31, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from akcqn. What is prob of picking 1 q, 1 n, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -115*n**3. Let h(i) = 19*i**3. Determine 25*h(o) + 4*z(o).\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5251 divided by -4.\nAnswer: 5251\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -32 + (-38 + 7 - -13) + 15 + 8\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.9577 - -0.0523. Let d = -467.99 - -468. Let l = s - d. Which is the second smallest value?  (a) l  (b) 3  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x**3 - 49*x**2 + 44*x**2 + 5*x**2 - x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d + 3. Let y be u(0). Suppose -219*z = 70*z - 6358. Solve -y*i - 2 = -2*h - 1, -z = 4*h + 2*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 0)*(-8*z + z - 15*z) + 1 + 6*z - 1 as p + t*z and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6150974 is divided by 403?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -4 + (5 - 6) + (-5 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123671923.2 seconds to weeks.\nAnswer: 204.484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7301\/3 + 2433. What is the nearest to -0.3 in -2.1, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 363 or 361?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 5:52 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -542 + -1?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from {l: 3, f: 3, q: 1, e: 2, y: 1, k: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 4 - o**2 + 558*o - 331*o - 199*o + o**3 + 15*o**2. Calculate r(-12).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-1)*(1\/(-8))\/(465\/(-1240))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -18*i**3 - 24*i - 17510*i**2 + 4*i**4 - i**4 + 17546*i**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 1.8. Let m = -0.459 - -0.359. Which is smaller: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d**2 - 6*d - 2. Let r(i) = 2*i**3 - 11*i**2 + 12*i + 1. Let f be r(2). Let h(x) = 3*x**2 + 7*x + 3. Determine f*h(a) - 4*c(a).\nAnswer: -a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 3*w + 33 = 0, -2*h + 23*w - 42 = 19*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 - 11*n**2 + 2*n + 1. Calculate the remainder when 67*-2*(-2)\/4 is divided by r(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1264 and 19.8.\nAnswer: -25027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -27, 3, 2\/7, 82.3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(1900) + sqrt(1900)*-2 + -5)**2.\nAnswer: -3850 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*v - 36*v - 18. Let t be ((-2 + v)\/4)\/1. Let y be ((-1)\/t)\/((-2)\/(-20)). Solve -3 = -4*w + y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/8*190\/3. Let g(m) = -72*m + 4. Let d be g(-1). Let t = h + d. What is the common denominator of 27\/5 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27 + 27. Suppose -s + 5*s - 24 = z. Suppose s*c - 107 = 2*c + 3*y, 3*y = -4*c + 125. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*x - 23*x**2 - 7*x + 24*x**2.\nAnswer: x**2 - 60*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, z: 2, h: 1, i: 8, d: 1}. What is prob of picking 2 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/18*-2*(14 + 847). Let p be 2 + (-12)\/(-54) + o\/45. Is 9 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -0.080153.\nAnswer: -0.320612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k - 9*k = 748195. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + (51 + (37 - 9) - 25).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2285)\/(-1828))\/((-20)\/6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -5*i + 151. Suppose -280 = 86*a - 76*a. Calculate the remainder when q(a) is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-46)\/(-161))\/(1\/(-4)*(-2)\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/29, -5, -2\/6663, -38 in decreasing order.\nAnswer: -2\/6663, -6\/29, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from tttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -39 + 52. What is the remainder when 37 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*f = -25*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1585, -3169, -4753?\n\"Answer: -1584*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -41197, -41206, -41229, -41272, -41341?\n\"Answer: -z**3 - z**2 + z - 41196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -303, -608, -903, -1182, -1439?\n\"Answer: w**3 - w**2 - 309*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -73612 divided by 126\nAnswer: -5258\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1741533 to the power of 1\/2, to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 552024 by 612.\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 54*a - 59*a + 205. Suppose -20*j = a*j - 122. Let p = 0.1 + 0.3. Put p, j, -4, 2\/3 in ascending order.\nAnswer: -4, p, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/5, 3, -4\/9, 1, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -3\/5  (b) 0.5  (c) -1103  (d) 5  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 20*b + 8. Is u(6) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 5, -1686, 3 in decreasing order.\nAnswer: 29, 5, 3, -1686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 38438668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1380 and 690?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 14*t**2 + 14*t - 8. Let s be z(13). Solve -r - 2*d + s = 0, -2*d - 2*d = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1993 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -474*o. Let v be ((-1)\/2 - -1) + (-3090)\/(-412). Let d(r) = -v*r - 3*r + r + 9*r. Calculate d(f(b)).\nAnswer: 474*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 9*h - 24 = 16*h. Put h, -17, 255 in ascending order.\nAnswer: -17, h, 255","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llffflllflff. What is prob of picking 3 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 4 + 1 + (-11 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000396807 to 6 dps.\nAnswer: -0.000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -q**5\/20 + 5*q**4\/12 + 3*q**3\/2 - 9*q**2\/2 + q. Let j(t) = 9*t - 138. Let p be j(16). What are the prime factors of r(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 140741 - 69569 + k - 71172.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -909960 or 3?\nAnswer: -909960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38726 = 355*k - 78*k + 301*k for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m**4\/4 + 7*m**3 + 271*m**2\/2 + 9*m - 16605\/4 = 0. Calculate m.\nAnswer: -9, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.2, -3, 255.7, 33\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h. Let k(d) = 5*d. Let v(x) = 4*a(x) + k(x). Let u(r) be the third derivative of 5*r**4\/24 + 35*r**2. Determine u(v(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -5. Suppose -y = -s*y + 40. Solve 0 = 3*j + j - y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -27*-20*(-28)\/(-3780). Let m = -6\/5 + 17\/10. Let 0 + 1\/2*a**o - 1\/2*a**3 - m*a**2 + 0*a + 1\/2*a**5 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 26  (b) -12  (c) 1\/5  (d) -1236\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -248 * 0.1.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2144  (b) -1090  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 - 0.2. Let k be ((-2 + 8)*-1)\/11. Which is the nearest to s?  (a) k  (b) -1\/9  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 89\/370 - 3\/74. Which is the third biggest value?  (a) -2\/13  (b) 3\/11  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*w**2 - 4*w**2 - 6*w**2)*(186 + 71 - 32).\nAnswer: 1800*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4046035 is divided by 6412?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/35)\/(6\/21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -143322 (base 7) to base 5.\nAnswer: -1340403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 10*y + 15 = 0. Let i(o) = 6*o**2 + 3*o. Let s(d) = -5*d**2 - 2*d. Calculate y*s(t) - 2*i(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.007 - -1.993. What is the third biggest value in z, -3, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2053 = -201*h + 202*h - 4*f, 3*h - 4*f = 6191. What is the remainder when h is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9384 times -3?\nAnswer: 28152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 879406 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 7 + 9. Let i = 9 + 2. Let a = i - 7. Solve -4*t = s*b + 9 - 1, -a*t - 2 = b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -183 - -48. Round q to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 232335712.\nAnswer: 2, 7, 1037213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 1:54 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.40126 minutes in nanoseconds?\nAnswer: 984075600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from isioo. What is prob of sequence ooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -164.64401 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.697329*6.\nAnswer: 4.183974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c**3\/7 - 11828*c**2\/7 - 4*c\/7 + 11828\/7 = 0.\nAnswer: -1, 1, 2957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 1 = -2*x - n, -2*x = 5*n + 5. Let d(m) = m**3 + 8. Calculate the remainder when 14 is divided by d(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 3*w - 16. Suppose -5*y + 3*v = -85, -3*y + w*y = v + 19. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (72 - 26) + -73 - -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 10 - 30. Is -4 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*z + 7*z - 78*z.\nAnswer: -81*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 53*g**7\/14 + 58*g**5\/3 - 1367*g**2. Find the third derivative of i(j) wrt j.\nAnswer: 19080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + u - u)*(-6*u**2 + 2*u**2 + 2*u**2)*(-298 - 279 - 237)*(-3*u + 3*u + 4*u)*(0 + 1 - 2).\nAnswer: -6512*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 899.6911 millennia in years?\nAnswer: 899691.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 31*q - 1. Let g(u) = -3*u + 2. Determine 3*g(j) + z(j).\nAnswer: 22*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 3*k - 8*k + 2, 2*d + k - 6 = 0. Let c(f) = f**3 - 2*f**2 - f - 1. Calculate c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1777 is divided by 219?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-4) - (-30)\/(-8). Let o = -14 + p. Let g be (-2)\/9 - 6664\/o. What is g rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/26 in -0.1, -3, 81319?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r\/(r\/r**1))\/r**(-7))**(12\/19))**(-37\/3) assuming r is positive.\nAnswer: r**(-1332\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 5304 = -45*s - 3624 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 4749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**1*i*i**(-22)*(i*i**(-10))\/i**21 assuming i is positive.\nAnswer: i**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1688536 is divided by 3241?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*r - 21*r + 96 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 73348.92 - 100271\nAnswer: -26922.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -566667, -1133335, -1700003, -2266671?\nAnswer: -2833339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -2 + 2 - (8 - (15 - 1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 14 = 2*j, -j + 5 = -0*j. Solve s = -s + q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -c + 31. Suppose g - 3*v - 19 = 0, -g - 3*g - 2*v + c = 0. Suppose 0*r - g = -r. Calculate the lowest common multiple of r and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5 + -3)\/((-2)\/5). Let w = -3 - o. Let m = -7 + 3. Sort m, w, 0.2 in descending order.\nAnswer: w, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56299143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 PM and 1:02 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -3 and -1.643 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (33\/22)\/(35\/(-10) + 4). Calculate the highest common divisor of z and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/6 + 143\/(-39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -266*u**2 - 268*u**2 + 520*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -140a (base 12) in base 9?\nAnswer: -3151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2*h + 5. Suppose -j + a = 3*a - 106, 0 = -2*j + h*a + 257. Let y = j - 184. Round y to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -5. Let h(n) = 2 + 0 - 4 - 1 + b*n. List the prime factors of h(9).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22617 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 51*i**3 - 5*i**2 + 5*i + 5. Let z(q) = -2806*q**3 + 276*q**2 - 276*q - 276. Give -276*b(s) - 5*z(s).\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.13?  (a) 0.5  (b) 2223  (c) 2  (d) -2\/5  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 105830, 211661, 317492, 423323, 529154, 634985?\nAnswer: 740816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100 + (-112 - 92) + -34.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/((1\/(-3))\/((-7)\/21)). What is the closest to -2\/9 in -0.4, q, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 6, s: 2}. Give prob of picking 1 h and 2 s.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 16 = 9*i - 14*i, -4*n = -8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*r - 26*r + 17608. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-2*sqrt(3630))\/((sqrt(90)*1)\/sqrt(9)))**2 - ((3*2*sqrt(192) + 3*sqrt(192)*2)*4)**2.\nAnswer: -436560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2100651 (base 7) in base 2?\nAnswer: -111101101000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/2 - (-1)\/(-2). Suppose 5*m + 496 = 16. Is w\/3 + m\/(-9) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 409 or 223?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19*w**4 - 9*w**2 - 2*w + 31.\nAnswer: 228*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of -18*q**2 + 0*q + 4\/15*q**3 - 1\/300*q**7 - 1\/15*q**4 + 1\/3360*q**8 + 0 - 1\/75*q**5 + 1\/75*q**6. Determine k so that w(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 6*o + 17 + 1 + 19.\nAnswer: -6*o + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 4*g - 2*g - 4, 0 = -2*g + 4. Factor 0 + 2*o**3 + j - 3*o**2 - o**2.\nAnswer: 2*o**2*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3851533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 5*n + 30 = 4*x, -4*n = -5*x - 13. What is the closest to -1 in 4, x, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 102894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 s, 1 f, and 1 c when four letters picked without replacement from {s: 1, c: 1, f: 1, p: 2, m: 2, o: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96264.\nAnswer: 2, 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 19*t. Let r(g) = -5*g**2 + 4*g - 4. Let y(u) = 4*u**2 - 3*u + 3. Let v(h) = 3*r(h) + 4*y(h). Calculate l(v(w)).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1318)\/(-3)*-2)\/((-4)\/6). Suppose -4*l + s = -20206. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 + k - 18. Let j be l(0). Let q = j + 10. Let t = q + 35. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -8*q - 2. Let y be b(-2). Let p be y\/8*32\/4. Suppose 0 = -10*v + 787 - 767. Solve 0 = v*t + 6 - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-6)\/(-33) - (-2337)\/33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35896?\nAnswer: 2, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 306\/126 - 6\/14. Solve -c = i*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/147*(-280)\/32)\/(12\/27)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*i + 18*i - 2 - 33*i)*((0 + 0 + 3)*(-3*i + 7*i - 3*i) + 2*i + 3*i - 3*i) in the form y + w*i + r*i**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 - 14. Suppose -c*s = -8 - 12. Suppose 4*q - 1 = v - 5, -4*v = -s*q + 6. Let a(u) = -u**2 - 4*u - 4. Give a(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express d**4 + 0*d**4 + 11*d**4 + (d + d - d)*(d**3 + d**2 + d**3 - 5*d**2) as k*d**3 + s*d**4 + x*d**2 + i + l*d and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/29029, -2\/7, -4 in decreasing order.\nAnswer: 2\/29029, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/2  (b) -5\/13  (c) 0.74  (d) 4  (e) -3  (f) -0.27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*c**3 - 2*c**3 - 2 - 11*c**3 + 3*c**2 + 19*c + (-4*c**2 - 2*c**2 + 8*c**2)*(-c + 0*c + 2*c).\nAnswer: c**3 + 3*c**2 + 19*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(21\/4)\/((l*l**(6\/17))\/l*l) assuming l is positive.\nAnswer: l**(265\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3711852 + -21?\nAnswer: -3711873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 5. Suppose 0 = -3*o - 4*m - j, 32 = 5*o - 5*m + 7. Suppose p - 6 = -p + 2*d, o*p + d = 9. Calculate the remainder when 11 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**27\/x*x*x*x**(9\/2))\/(x**(-2\/5)\/x)**3 assuming x is positive.\nAnswer: x**(387\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, d: 4, u: 3, f: 5}. Give prob of picking 1 d and 2 u.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 12:18 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -78 + 55\/3*w**3 + 2*w + 7\/2*w**2. What is the second derivative of m(i) wrt i?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.22 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 39071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 914, 1810, 2716, 3638, 4582, 5554, 6560, 7606?\nAnswer: 8698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18758023233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*((-42)\/273)\/(5 + 3\/(-3))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85\/(-34)*12\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1478 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 358 - -3669. Calculate the lowest common multiple of y and 8.\nAnswer: 32216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3*g**2 + 4*g + g**2 - 5*g**2 + 0 + 2. Give v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 58, 73?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -9638*n + 578271. Calculate q(60).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**3 - 3*o**2. Let n(v) = -6*v**3 - 8*v**2. Let f be (-6 - 0 - -3)\/(-1). Determine f*n(w) - 8*k(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of -3*y**6\/40 + 11*y**5\/60 + 3*y**2. Find the third derivative of w(l) wrt l.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 7:50 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2910 = 2*c, -3*k + 3*c = -6*k + 2175. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + (-2 + (-3 - 0) - (-33 + 32))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.78 - -0.902. Let k = m + -4.022. Let c = k - -3.900103. What is c rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 50 - 50. Factor 0*h**2 - 9 + 6*h**2 + h + 3*h**4 + 11*h + y*h**4 - 12*h**3.\nAnswer: 3*(h - 3)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -4.8.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.24 * 4.6.\nAnswer: 10.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1580.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + t = -3*t + 96, -5*x - 3*t - 88 = 0. Which is greater: -18 or x?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.884 and -7945.\nAnswer: -14968.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 72 = -3*r. Calculate the highest common divisor of r and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29*b + 17*b + 5*b**2 + 19*b wrt b?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a - 21 = -18*a. Let y be 2\/(-2) + 0 + 4. Let j = a - y. Solve -4*n = 4*r - 8, r + j*r - 3*n = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -387*w = -452*w. Let x = -11 + 16. Sort -1, w, x, 4 in descending order.\nAnswer: x, 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 308 - 318. Let z(k) = k**2 + 21*k + 79. Let x be z(-5). Which is the nearest to x?  (a) n  (b) 2  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.06  (b) -4  (c) -1  (d) 1\/4  (e) -5\/7  (f) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h = 5*h - 2*w - 10, -h - 4*w = 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11978 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from mlgje.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1509?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 + 4*q. Let x be y(-4). Suppose -t + x*t = 3. Let p = 1 + t. Which is smaller: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/((-9)\/3))\/((-3)\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.09 - -4.09. Let u = 3.9 - p. What is the nearest to u in -3\/4, -2\/9, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 6:16 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -476 in -0.85, 0.07, -17, 0.4, 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1a (base 15) to base 13\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 78*x + 3. Let y(g) = 157*g + 7. Calculate 5*p(b) - 2*y(b).\nAnswer: 76*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9331462 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -0.5, 9\/991, -1\/5, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 5:54 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of -c**2\/2 + c + 33. Let j(d) = -9*d + 12. Give -12*g(h) + j(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {e: 2, f: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*h + 24 = 7*h, -4*m + h = -79. Calculate the remainder when m is divided by (-171)\/(-15) - (-2)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19450 and 56400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = 32, -2*y + 54 - 13 = 13*s - y + 6 - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10263*i**6 + i**4*w**3 + 8*i**2*w**3 + i**2*w**2 + 3*i**2 - 3*i*w**3 wrt i.\nAnswer: 1231560*i**3 + 24*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -373*h + 20414 - 20414 - 57*h to the form x + j*h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 3*x**2 + 6*x - 6. Let g be z(4). What is the remainder when (-575)\/(-20) + g\/8 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/12 and -101\/2038.\nAnswer: 12228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 0 - 2*r)*(-246 + 246 - 449*r)*(3 - 2 - 3) - 2*r + r**2 + 2*r + (4 - 4 - 1)*(-2*r**2 - 3*r**2 + 7*r**2).\nAnswer: -1797*r**2 + 898*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 + 50229*a**2 - 25114*a**2 - 25110*a**2.\nAnswer: 5*a**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5262*j**2*u**3*z**2 + 33*j**2*u*z**2 + 5703*j*u**2*z**2 + j*u + 212*u**3*z wrt j.\nAnswer: 10524*u**3*z**2 + 66*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of -r**7\/168 + r**5\/80 + 19*r. Suppose g(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 PM and 6:59 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -105540 + 1.64\nAnswer: -105538.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2858*o - 4573 wrt o?\nAnswer: -2858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c. Let w(x) = -6*x - 2. Give z(w(i)).\nAnswer: -6*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1453035 by -157.\nAnswer: 9255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 74313293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -334527 (base 8) to base 3\nAnswer: -12201222120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 39 = -5. Suppose -2080 = -7*j - 785. Calculate the remainder when j is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-27)\/(-15))\/((-9)\/(-15)). Let f(h) = -h**3 + 5*h**2 + 7*h - 2. Let x be f(6). Suppose x*z = 75 - g. What is the remainder when 50 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -20 + 20172853?\nAnswer: 20172833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c - 3*c - 43 + 3*c.\nAnswer: c - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 5*f - 7*f + 15, -3*f + 12 = b. Let r(m) = -2*m**2 + 3*m. Let d(z) = 5*z**2 - 5*z. Give b*d(l) + 5*r(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3adbc6 (base 15) to base 12.\nAnswer: b46313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.21 - -3?\nAnswer: 4.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -1243*d. Let y(p) = 5*p**2 - 566*p. Give y(v(t)).\nAnswer: 7725245*t**2 + 703538*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -35 and -4.219738336905?\nAnswer: 30.780261663095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*t**5 + 260*t**4 - 277842*t**3 + 11020016*t**2 - 1994456*t = 0. Calculate t.\nAnswer: -134, 0, 2\/11, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 4*a + 4, 5*q = q - a + 9. Let u be (2 + -1)*q\/1. Suppose u*m - 6 = -2. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven halves of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*p**4*q - 6075*p**4 + 5*p**3*q + p**3 - p**2*q - p**2 - 16523*p wrt p.\nAnswer: 96*p*q - 145800*p + 30*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1180 and 125080.\nAnswer: 125080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 215 - 217. Let a(x) = -3*x + 2. Determine a(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/2288 and -29\/1248.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 7137*r**2 - 7704*r. Let m(w) = 60663*w**2 - 65484*w. Let o(h) = 5*m(h) - 42*q(h). Find the second derivative of o(y) wrt y.\nAnswer: 7122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.6 plus -0.4914062258?\nAnswer: -12.0914062258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.4  (b) -0.08  (c) -302  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15521 and 102.\nAnswer: 93126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58595*-0.5.\nAnswer: 29297.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/(-10) - 22\/(-4). What is the remainder when 188 + (10 - m) + (3 - 1) is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3588360423 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l = 4*l + 987. Let w = l + -86. Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f. Let n be i(10). Suppose -5 - n = -g. Suppose -g = -8*p + 5*p. Solve -t = 4*l - 24, -p*l + 9 = -t - 3*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/2)\/(g*g\/g**(-7\/3)))**(-2\/33) assuming g is positive.\nAnswer: g**(23\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 136*k + 221. Let u be a(-1). Suppose 0 = -3*m - c - 0*c + 75, 0 = 4*m - 4*c - 100. What is the highest common factor of u and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.32714 rounded to two dps?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 69657 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (11\/4 - 0) + 9\/(-12). Suppose -p*d = 7 - 17. Suppose 3*u + d*h = 10*h + 1556, -3*u = -4*h - 1561. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, -1.6, 4, -2\/21, -5, -0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 3. Let x = 53 + -57. What is the closest to h in -2\/3, x, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t - 4. What is b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2d4d + 29e1?\nAnswer: -36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -13a72 + 5?\nAnswer: -13a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**1)**(-5))**(4\/15)\/(i**(3\/4)\/i*i**(-7)*(i**(-7)*i)\/i*i\/(i*i**(-1\/2))) assuming i is positive.\nAnswer: i**(149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6410, -6630, -6990, -7484, -8106, -8850, -9710?\nAnswer: -10680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 53066*f - 3879139. What is l(-73)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/12 + 15\/4. Determine t so that 2*t**2 + t - t**3 + 0*t**3 + 2 - a = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 762 and 4234053?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**3 + b**2 - b + 7. Let q be i(-2). Let m(l) = -7*l**2 - 5*l - 5. Let h(y) = 4*y**2 + 2*y + 3. Calculate q*m(v) - 5*h(v).\nAnswer: v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 8*u**2 + 10*u + 4. Let j be d(-9). Let v(k) be the first derivative of -5*k**2 - k - 2. Is 13 a factor of v(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 55, 82, 89, 70?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-84)\/(-105) + (1104\/(-20))\/(-1) and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.038 and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-21)\/(-11) + (-2)\/1. Let s = 2 + -1.95. Let a = s - 0.15. What is the third smallest value in 0.1, a, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12456 - 3*k**2 + 12456.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1746329567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/(-24)*(-12)\/(-2). Determine p, given that -3*p**h - 22*p + 47*p**2 + 15*p - 28 - 12*p - 49*p = 0.\nAnswer: -1\/3, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189) - (sqrt(189) - (sqrt(189) - sqrt(189)*3)) - sqrt(189))\/sqrt(3).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 + 14 = 7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - o)*(2*o - o + o + (-o - o + o)*(1 + 2 - 7) + (2 - 28 + 7)*(0 + 2*o + 0)) to z*o**2 + k*o + c and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m - 28 = -8*q, -7623*q - 4*m = -7624*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -25*t - 47 + 34 - 3*t**2 + 22*t. Let h(o) = 3 - o - 6 - o**2 - 1. Suppose -3 = 3*r + 3. Determine r*y(d) + 7*h(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 7602, 15213, 22826, 30441?\n\"Answer: j**2 + 7608*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 - 6. Suppose -2*n = -t - 3, 0 = -3*t - 2*t + 5*n + 5. Is q(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 9:35 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert c (base 16) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 6. Suppose -a + j = a. Let q = -3 + a. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 3*y - 9 = 0, -o + 514*y - 498*y - 35 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = o + 2*s, s - 5*s = 4*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 75*z**3 - z**2 + 2*z - 1. Let v be b(1). Let k(h) = 47 + v*h - 76*h - 7. Is k(19) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3\/5, 0.3, 0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 + 18*g - 4. Let v = 11 + 6. Let p be c(v). Let k = p - 8. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 8*k - 19. Let q(j) = 7*j - 18. Let o(m) = -5*l(m) + 6*q(m). Let r be o(10). Let i = 9 - r. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 333\/(-1620) - (-2)\/5. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 0) + 0 + 4 - (-1860 - -1934)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -8. Let i = -1 + f. Suppose 5*j - 42 = -3*b, 4*b - 32 = -i*j - 0*b. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5*v + 45, 0 = v + 2 + 1. Let s(l) = 8*l**2 + 210*l - 4505. Let i be s(14). Sort i, x, 0, -3 in decreasing order.\nAnswer: x, i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0244694871 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -1503bd?\nAnswer: -1503c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0995 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27 and 72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -266*r - 11. Let g be 2\/9 - (-1202)\/18. Let t = -69 + g. Is u(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11207\/138 + 714\/23. Is 1 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -638*u - 4742 = 8018 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/(-10)*(-15)\/(-2). Suppose 36 = 2*l + a, l - a + 19 = 2*l. Suppose -4*d + q*u = u + l, -2*d = -5*u + 21. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1394198\/(-1980) + (-54)\/(-297). Let g = z + 7762\/11. What is the common denominator of 113\/40 and g?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -343 + 124 + 167 + 2 + (-2 - -17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 3*c + 249 = 0, -2*i - 4*c = -0*c - 172. List the prime factors of (1\/(-2) - 1)\/(i\/(-112)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*d**2*l**3*v**3 - 42371*d**2*l*v**3 + 723*d*l**3*v**3 - 12*d*l**2*v**3 - l**2*v**3 wrt l?\nAnswer: -18*d**2*v**3 + 4338*d*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 207814469 at least 207814468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes before 2:59 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 3*w**4 - 638964*w**3 + 1916874*w**2 - 1916868*w + 638955 = 0.\nAnswer: 1, 212985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15*g - 4*g + 4*g)*(-26 - 4 + 4*g - g) to n*g + o + l*g**2 and give n.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 103*p - 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31025153 (base 7) to base 11.\nAnswer: 1512634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2413 - 2413.2. What is the second smallest value in -2\/15, 2, 3, i, -0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 68878, 139849, 210820, 281791?\n\"Answer: 70971*k - 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 4*r**3 - 2*r + 1. Let x(c) = -c - 8. Let j be x(-9). Let q be b(j). Suppose 1012162 = q*w + 172162. Round w to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 5*q + 12 = 0. Let w(j) = 3*j - 10. Let g(v) = 6*v. Let s(z) = -34*z - 9. Let k(y) = 6*g(y) + s(y). Give q*w(f) - 5*k(f).\nAnswer: 2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 5, r: 7}. What is prob of picking 4 r?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 + 4*f - 2. Let m be o(3). Let y(x) = 32*x - 42. Let v be y(2). Suppose -19*s + 12 = -v*s. Which is the closest to -0.1?  (a) m  (b) s  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60)*2 - sqrt(60) - sqrt(60)*1)\/(((sqrt(220)*2)\/sqrt(4))\/sqrt(11))*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 2*f - 4, 5*k - 2*f + 18 = 0. Let x = -0.22 - 0.08. Let v = 2.1 + -2. Which is the nearest to v?  (a) -0.1  (b) k  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.59 and -5985.\nAnswer: -3531.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -23*u**2 + 4*u + 4. Let d(p) = -23*p**2 + 5*p + 5. Let c(v) = -4*d(v) + 5*g(v). Let y(h) = -6*h**2. Calculate c(y(i)).\nAnswer: -828*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -476\/9 - -53. Calculate the common denominator of (1 - ((-70)\/21 - 7)) + 2 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 s when four letters picked without replacement from sjsisissgiifsssy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of -23\/4*z**4 + 47 + 0*z**2 + 0*z**3 + 3*z. Differentiate v(m) wrt m.\nAnswer: -69*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-130)\/35)*(-861)\/82?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -974*s**5 - 63*s**4 + 101*s**3 - 12229*s**2 + 5*s + 73.\nAnswer: -58440*s**2 - 1512*s + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 37*l - 860. Calculate n(13).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 46 = -2*s - 28, -3*s - 4*y - 19 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -50 in 18.2, -1\/8, 21, 0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31628 = 302*u - 22568 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and -16187.74.\nAnswer: -113314.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 4. Suppose -s*b + 8 = 5*i - 62, 2*b = 4*i - 56. Suppose -t = 2*o - 8, 0 = o + 2*o - 5*t + i. Are 3 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 149*o**2 - 1479*o + 19. Determine p(10).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(2) - sqrt(12)\/sqrt(216)).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24 - -28. Let h(w) = -w**2 + w + 13. Let o be h(p). Let j(a) = -4*a - 1. Let l be j(-1). Is l at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1732*q + 2*r - r + 25 = -1731*q, -79 = -144*q + 140*q - 3*r for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2*22\/2 + 12 + (-180)\/15\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (3 + (0 - -10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 - 7*f + 8. Let w be o(-6). Let q be 6\/w - (-2034)\/(-42). Let z be (-2)\/5 + q\/(-20). Solve 0 = 2*t - z*i - 2, 0*t - 2*i - 6 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 9*o**2 + 4*o - 6. Let w be n(-8). Let g be 4\/(-10) - 134\/(-10). Calculate the highest common factor of g and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**2\/5 - 6736*y\/5 - 243756\/5.\nAnswer: -4*(y + 37)*(y + 1647)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10024)\/2506)\/(8\/54)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/8*19\/38. Let q = -0.09 - 4.91. Let j = 875\/2 + -438. Which is the fourth biggest value?  (a) 0  (b) v  (c) q  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 5*y - 1. Suppose 0 = -2*q + 3*p + 3, -2*q + 3*p = 3*q - 3. Suppose -4*f + 4 + 0 = q. Determine r(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f + 2. Let q be c(11). Let w = -5 - q. Suppose 2*l = w*l + 6. Sort 5, l, 2.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 12:14 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {m: 2, n: 1, x: 1, u: 1, v: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-3))\/(5\/(210\/28))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 times -0.07?\nAnswer: 4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 631074 and 90147549.\nAnswer: 13719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + 5*w - 2. Let x be i(3). Suppose -4*u = -5*k - x, -4*u + 5*k + 10 = u. Suppose -4*z - 54 = -u*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/23, 0, 17, 2\/5, 2, 2\/3 in descending order.\nAnswer: 17, 2, 2\/3, 2\/5, 0, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 13 + 76 = 5*v, 7 = v + 3*q. What is the second derivative of -88*n + v*n**2 - 3*n**3 + 8*n**3 - 7*n**3 wrt n?\nAnswer: -12*n + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 6. Let g = r + -0.5. Which is the smallest value?  (a) 0.5  (b) 1  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34838, -70461, -106084, -141707, -177330, -212953?\nAnswer: -248576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.2 in 72, -3, -4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2090 - 2054. Calculate the lowest common multiple of 60 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -5*j**2 - 6*j + 1. Let q(i) = 13*i**2 + 18*i - 4. Let o(m) = 8*f(m) + 3*q(m). Calculate o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4519914 and 7889?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand q + 5 - 5 + (-q + q + 3*q)*(0 + 5 - 3) + (2*q + 0*q - q)*(-5 + 4 - 1).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1332221507.\nAnswer: 17, 4609763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*(1 - 0) + 0. Let o = 58 - 51. Let m(t) = t + 1. Let x be m(o). Sort x, n, -2, 1 in ascending order.\nAnswer: -2, 1, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 39 - 13 = 0. Suppose 16 = 6*w - 68. Suppose -104 - 8 = -w*z. What is the least common multiple of s and z?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 55\/17 - 355\/136. Sort i, 3, -5 in decreasing order.\nAnswer: 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 581\/3803 or -1?\nAnswer: 581\/3803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {k: 1, g: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 4 + 3)*(s - 6*s + 3*s) - 3*s + 4*s + 3*s - 111 + 349 - 4894*s - 238 in the form z + v*s and give v.\nAnswer: -4888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*l = -4*m - 222, 2*l + 32 - 61 = 3*m for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 58*b - 3244. Determine z(55).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1109*t - 290*t - 90 + 161 - 71 to a + o*t and give o.\nAnswer: -1399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -242 + 242 - 14*i**2 to the form z*i**2 + c + y*i and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 PM and 4:43 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4\/8 + 3073*p**3\/4 - 73861*p**2\/8 + 107765*p\/4.\nAnswer: p*(p - 7)*(p - 5)*(p + 6158)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 50\/39 and 35\/426?\nAnswer: 5538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 5*a**2 + 5*a + 4. Determine g(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 354 in 0.4, 0.2, -1\/5, -65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11220 - -11221. What is the nearest to x in 0.5, 104, -2\/39?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -4*v**2 + 3*v + 2. Let b(g) be the first derivative of -5*g**3\/3 + 3*g**2\/2 + 3*g + 471. Determine 3*b(a) - 4*o(a).\nAnswer: a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t**5 + 5240*t**4 - 15565*t**3 - 115070*t**2 + 125400*t = 0. Calculate t.\nAnswer: -4, 0, 1, 6, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/114 and -87\/304?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 3523 + 5693. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -p + 4*o, 5*p = 3*p - 5*o + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + 4*o - 1. Let m be f(-5). Suppose -n = n + 4*t + 14, -m*t + 11 = -3*n. Let d = -2 - n. Solve -5*k + 21 = -0*i + d*i, -5*k = -3*i - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5054746?\nAnswer: 2, 17, 148669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -43.8 or -1\/441449?\nAnswer: -43.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 58.77 - 59.27. Let s be 2\/4*(-6)\/9. What is the closest to s in l, 5, -1.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**3\/23 - 14738*y**2\/23 + 28571648*y\/23 - 5163712512\/23 = 0. What is y?\nAnswer: 201, 3584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39225*o + 10380 = -38533*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d**2 + 4*d + 2. Let x be o(-7). Let g = 379 + x. Suppose 4*m + g - 646 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11d (base 15) in base 3?\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12.94 + -0.34. Let t = 7.6 - v. What is the smallest value in 2, -1\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 131 - 29. Let i = g - 83.5. Let r = -15.5 + i. What is the second smallest value in r, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239704 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 80*q. Let s be g(-4). Suppose -6*v - 6 = -0. Is v\/(s\/106 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 + 7*z - 1. Let p be k(-7). Let m = -9.7 + 10. What is the biggest value in m, p, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 636*k**2 - 19285 + 19285 - k**3 + 2*k**3.\nAnswer: k**3 + 636*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 0 - 5*a**4 - a**3 - 2 + 31*a**4 - a + 2904*a**2 - 2905*a**2 as d*a**2 + f + l*a**4 + w*a**3 + y*a and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 9*x**2 + 9*x - 9. Let b be v(-9). Let c be ((-5)\/3)\/(b\/108). Suppose 5*y - 7 = -3*i, c*i - 3*y = i - 7. Sort -3, 6, i in descending order.\nAnswer: 6, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-6)\/(j**(-2\/17)\/j)*(j*j**(1\/2))**13*j**(-3)*j**3*j**(-3\/2)*j**(-5\/2)\/j*j assuming j is positive.\nAnswer: j**(361\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -104 + 189. Let l = -197 + 240. What is the remainder when j is divided by l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w. Suppose 0*f = -4*f + 4. Let s be -1*1 - 1\/f. Let d(t) = -1. Let l(q) = 2*q**2 + 10. Let p(v) = s*l(v) - 20*d(v). What is r(p(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 11:20 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2903 a factor of 83699296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 - -39. Suppose 4*y - q = 3*k, -3*y + 4 = 2*k + 12. Let a(c) = c**3 - 5*c**2 + 6*c - 6. Let t be a(4). Sort k, -1, t in ascending order.\nAnswer: k, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 4*r - 307 = -283, 0 = -h + 3*r - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2889942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14359*c + 7183*c + 7178*c - 1645*c**2.\nAnswer: -1645*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = -25 + 187. Is -28 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 j when three letters picked without replacement from syjyyyjsyjyj?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -36*u - 457. Calculate the remainder when 73 is divided by z(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in s**5\/3 + 12*s**4 + 131*s**3\/3 + 32*s**2 = 0?\nAnswer: -32, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8848, -5, -2\/17, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*q**2 - 3*q**5 + 4*q**2 + (0*q - 2*q + 4*q)*(-3*q**4 + 3*q**4 - q**4) + q**5 - 3131*q**4 + 34 + 3131*q**4.\nAnswer: -4*q**5 + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) -2\/7  (b) 3.8  (c) 20\/9  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 109242*w**5 - 20064726*w**4 + 1254965472*w**3 - 480847873856*w**2\/17 + 1660252840960*w\/17 - 227427812864\/17 = 0.\nAnswer: 1\/7, 4, 3052\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1234, -3359, -6848, -11701, -17918, -25499, -34444?\nAnswer: -44753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 63, -2675, -74 in decreasing order.\nAnswer: 63, -74, -2675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 408*m**3 + 0*m + 2*m + m - m - m.\nAnswer: 408*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -40534 (base 6) to base 2\nAnswer: -1010100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 790.526799776 + -82.526837156. Let a = o - 708. Round a to six dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**3. Let d be o(-1). Which is the nearest to -0.1?  (a) d  (b) 5  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 + 29 + 0 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, -3\/5, -1\/15, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r + 5 + 6 - 20.\nAnswer: -6*r - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -157, -211, -303, -433, -601?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2313*n**2 + 2299*n**2 + 105*n**2.\nAnswer: 4717*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -3*q**3 + 5*q**2 + 3*q + 5. Let a be -2*(-20)\/(-8) + 2. Let f(p) = -2*p**3 + 3*p**2 + 2*p + 3. What is a*l(b) + 5*f(b)?\nAnswer: -b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -5*k + 14 - 37, -4*k = 5*h + 25. Is h at least as big as -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 35167059, 70334121, 105501183?\n\"Answer: 35167062*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2. Suppose -1 = -2*l - 5*x, 9*l - 17 = 4*l + 2*x. Let k = l - 0. Let g(i) = k*i - 3*i + 3*i - 5*i. What is m(g(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -901*m - 4633. Is h(-120) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-248)\/2046)\/(700\/154)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 222, 229, 236, 243, 250, 257?\n\"Answer: 7*z + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211977 is divided by 4326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-4)*16\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-126) + (-14)\/(-147) + (-24)\/81.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*w - 18 = 76 - 148 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49*k - 60*k**3 + 132*k**3 - 50*k + 54*k**3.\nAnswer: 126*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000054500005 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1573183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xssy when four letters picked without replacement from {u: 6, x: 1, s: 7, y: 3}?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 - 6*t - 6. Determine v(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15.48 + 2.51. Let a = -0.86 - 17.14. Let v = a + l. What is v rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 9 - 452758*a - 7 - 525020*a. Let y be c(9). Round y to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/6*((-4257)\/6)\/43\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 - 19*t + 43. Let x be m(17). Is (x\/(-18))\/((-3 + 1)\/26428) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.9, -5, -1\/2, -0.21 in descending order.\nAnswer: -0.21, -1\/2, -0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3868961*b**5 - 304*b**2 + 138*b + 23 wrt b.\nAnswer: -232137660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -144, 2050, -2 in ascending order.\nAnswer: -144, -2, 2050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36 + 50. Solve 4*r = 2*x + x + w, -3*r + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y*y**(10\/9))*y**1)\/(y*y\/(y*y**(-1\/13)\/y*y)*y**(-5)))**(2\/161))**(10\/7) assuming y is positive.\nAnswer: y**(8920\/131859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 8:08 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + o)*(-430*o**2 + 16*o**3 + 430*o**2) to h*o**3 + r*o**4 + j*o + w + u*o**2 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1bbd2b (base 14) to base 7.\nAnswer: 11304354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1738 * -3.\nAnswer: 5214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(684)*2 + sqrt(684))\/sqrt(12))\/(sqrt(12)*1) + (sqrt(1900) + 3 + 0 + sqrt(1900) - sqrt(1900))*-2)**2.\nAnswer: 222*sqrt(19) + 26155\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/130470 and 46\/429?\nAnswer: 18657210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 16*k. Let r(j) = -4 + 3 + 1 - j. What is m(r(o))?\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**3\/6 + 95*p**2\/6.\nAnswer: -5*p**2*(p - 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 227359 or 227449?\nAnswer: 227449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22037315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 2*f - 56, -5*f + 2*c + 72 = -f. Let x(r) = -r**2 + 3*r + 50. Let n be x(0). What is the greatest common factor of f and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/2)*w*w*w\/((w\/(w\/(w*w**(-10)\/w)))\/w)*w**(-1\/2)*w*((w*w\/w**(-9))\/w)\/w assuming w is positive.\nAnswer: w**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 3*(-2)\/((-18)\/3). Let y(m) = 194*m + 6. List the prime factors of y(j).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9630, -9275, -8894, -8475, -8006, -7475, -6870, -6179?\nAnswer: -5390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((3*(sqrt(99) + 3) + -4*(sqrt(99) - (sqrt(99) + -4)))*5 + -5))**2.\nAnswer: -57600*sqrt(11) + 382000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -16*n + 4. Let j be k(-5). Let o = j + -81. Suppose -o*y = -169 + 61. What is the remainder when y is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2079 and 1080?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 1:04 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-585)\/(-260)*(-256)\/16.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 17431 divided by 720?\nAnswer: 17431\/720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-14)\/80*(-10)\/(-64). Let u = -13547\/768 + o. Let r = 359\/21 + u. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/((-1)\/(-2) - 1). Suppose 2*x + m*s - 270 = 0, -s = 2*x - 0*x - 265. Suppose -8*n + 3*n + x = 0. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-33)\/(-4) + 1\/(-4). Suppose -3*r + m = -4. Solve 0 = -0*u - u - r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*g + 30 - 6. Let s be (-444)\/(-18) - (-2)\/g. Suppose 237*w - s = 236*w. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.725 - -1.3. Let i = d - -0.424095. Round i to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -493840, -493849, -493858?\nAnswer: -493867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 33 + 4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 371 + -255. Let b = -146487.146 - -146371.145951. Let o = b + a. What is o rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n - 5*n - 18*n - 1 - 3*n. Is p(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*x - 38*x = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 1:29 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/2 and -49\/900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -59368.99954931 - -59369. Round x to five decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 take away -111?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15905 is divided by 221?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -1 + 3. Suppose 9 = r + l. Solve x - 8 = -r*y + 3*y, -12 = -3*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*g**4 + 4*g**4 - 4*g**4 + (-1 + 3 + 0)*(-4*g**4 - 2*g + 2*g) in the form i*g**4 + v*g**3 + z*g + t + o*g**2 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 - 1001?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -4*g**2 - 32428*g - 32424 = 0.\nAnswer: -8106, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6668488\/5 + -1333696. Factor 0 - p*n - 2\/5*n**2.\nAnswer: -2*n*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.3  (b) 0.025  (c) -1\/2  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -c**4 - c**3 - 3*c + 2*c + 2*c**2 + 2*c - c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1541)\/(-299) + (-16)\/104. Factor 0*g + 0*g**2 + 0 - 4\/5*g**3 + 4\/5*g**w + 0*g**4.\nAnswer: 4*g**3*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 10*z**2 - 19*z + 15. Let c be i(6). Let s = c + -229. Calculate the remainder when 86 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 72165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 5*n = -15, -2*b = 4*n - 745 + 731. Suppose 3*l = -2*l. Suppose -4*q - 4 = b*g - l, 3*q = -2*g + 4. Solve -2 = q*y + 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iphg when four letters picked without replacement from hiipugthppiphitiiht.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2227 and 140039.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 453.2438382 - 453.24. What is r rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -5*i + 11. Let p be r(4). Let w be -3*(-6)\/p - (2 + -4). Let v be (-2)\/7 - (-120)\/28. Put v, w, -5 in decreasing order.\nAnswer: v, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-2)*480\/72.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-20)\/q)\/q)\/q**(-8) assuming q is positive.\nAnswer: q**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*b + 1020 = b. What is the remainder when b is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 460457497 less than -7129?\nAnswer: -460464626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 849 - 848.218. Let s = 0.77883 - t. What is s rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -11, 1.\nAnswer: -11, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211212212212 (base 3) to base 9.\nAnswer: 755785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -5*n**2. Let v(y) = -19*y - 138. Let u be v(-8). Let a(f) = -233*f + 466*f - 233*f + u*f**2. Calculate r(a(b)).\nAnswer: -980*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 23*y - 10. Give c(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 4*s - 28, -4*p = -11*s + 8*s + 20. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 37.\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.2 + -1. Let t be (0*7\/(-42))\/5. Which is the closest to i?  (a) t  (b) 0.5  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.736317 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1985644832 divided by -4\nAnswer: -496411208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 435*r + 24750 = -1041*r + 486*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -2. Let x = 2.4 + t. Which is the third biggest value?  (a) -3\/2  (b) x  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1683 and 21?\nAnswer: 11781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 545 divide 2208184581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 + 290 = 10*m. Calculate the remainder when 107 is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/3 - (4 + -1). Is 1 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*x - 13 = p - 206, 0 = -2*x - 5*p + 37 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -59 - -126. Suppose -4*f = -c - 1173. Is (-5 + 2)\/((-15)\/f) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22704574057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2 + x**2 - 3 + x + 7. Let s be c(-2). Solve 0*y - 20 = -s*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*u - 2*w, w + 8 = 2*u + 3*w. Calculate the greatest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 1 = p + 3*n, -5*n + 12 = 4*p. Solve -a + p*a = -10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100010110010 + 0?\nAnswer: -10100010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 55993235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 374 and -0.5.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000756 rounded to seven decimal places?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.13  (b) 26  (c) -0.2  (d) -475\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/(-58)*(15\/27)\/(16\/96)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7797751 to the power of 1\/2, to the nearest integer?\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*d + 132*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -1181*p - 2889*p + 415*p in the form j*p + o and give j.\nAnswer: -3655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j + j + 2*j**3)*(-2 + 3 + 1) - 5*j + j**3 + 5*j to q*j**2 + n + y*j + w*j**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -112196, -112203, -112220, -112253, -112308?\nAnswer: -112391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -33*3.9\nAnswer: -128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 700 or 698?\nAnswer: 700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -122*t + 125*t + 4*b, -15 = 5*t + b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4*(-2)\/12)\/((-30)\/(-45)). Put 5, 3, k in descending order.\nAnswer: 5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -77, -324, -737, -1316, -2061, -2972, -4049?\n\"Answer: -83*h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 102133 (base 5) in base 15?\nAnswer: 102d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2481.287l in millilitres?\nAnswer: 2481287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -23*d - 1. Suppose -4*p - 2*f = 2, -18 - 7 = 5*p - 5*f. Let z be o(p). What is the greatest common divisor of 30 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5000458 to the power of 1\/2, to the nearest integer?\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - (-28)\/18*-3)*3. Let s(v) = v**3 + 6*v**2 - 7*v + 9. Let l be s(-7). Let q(n) = -n**3 + 0*n**3 - 11*n - 11 - l*n**2 + 2*n. Determine q(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/45 + (-280)\/36. Let c be (j\/6 - -1)\/((-8)\/696). Solve 0 = o - n + 9, -n = -5*o - 0*n - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8118 and 1804.\nAnswer: 16236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*j + 93*j - 30*j - 30*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kimgv. What is prob of picking 1 g and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 111100110110010011110 (base 2) to base 11\nAnswer: 1142044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 - 5*d + 2. Let l be a(-5). What is c in c + c**l + 0*c - 3*c**2 + c**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4 - q + 3 + q**2 + 0. Let t(f) = 2*f**4 + 9*f**2 - 11*f - 11. Let h(x) = 22*c(x) - 2*t(x). What is the third derivative of h(z) wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 PM and 8:33 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g - 29. What is the least common multiple of f(19) and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 + 25. Calculate the smallest common multiple of 2 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 447 + -84. Let t = 526 - c. What are the prime factors of t?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/4, -130, -0.4, 1\/7, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39 + -21. Let n(p) = -l*p**2 - 7*p**2 - p - 2*p**3 + 29*p**2 - 2. Calculate n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-14)\/6)\/((-10)\/(-60)). Let n = s + 19. Calculate the smallest common multiple of n and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23652 divided by 6\nAnswer: 3942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.168 - -0.268. What is the closest to n in 3, 40, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47 - 5041.\nAnswer: -5088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y - 30. Let k be j(5). Let c(b) = b**3 + 17*b**2 - 3*b - 26. Let f be c(k). Suppose 0 = -11*p + 1998 - f. List the prime factors of p.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (-6 - -10) + -13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttdtdtt.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -1 - 1 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**3 - 2*k**2 + 2. Let w(m) = 4*m. Let p be w(5). Let z(f) = -2*f + 38. Let b be z(p). Determine h(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -4*s + n, -n = -4*s - 5*n - 28. Let g(x) = -1 - 5*x - 2 - 6*x. Calculate the remainder when 37 is divided by g(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28027 rounded to the nearest 100?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7223 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*u + 164 = -2*g - 21*u, -g - 47 = 5*u. Is g != -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*p + 5700 = h + 21*p, 2*h - 11405 = -3*p. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3*f + 26 + 96 = 0, 102 = 5*l + 2*f. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**16*b)\/b**(-2\/41)*((b\/(b**(-11)*b))\/b)\/((b\/b**(-6))\/b))**(-12) assuming b is positive.\nAnswer: b**(-10356\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 454870*m**2 + 111594*m wrt m?\nAnswer: 909740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 2. Which is the second smallest value?  (a) i  (b) -0.11  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**3 - 25*t**2 + 16*t + 36. What is k(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2640)\/(-140))\/(-1*2\/(-14)). Let h = l + -74. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19 - -4. Let c = m - -24. Suppose -s + 8 = j, j + 2*s = -0*s + c. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 7*z - 7. Let a be k(5). Suppose 0 = -a*s - 0 + 18. Is 87\/s - (-1)\/2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 1, l: 1, f: 1, q: 1, y: 1, m: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 260607615 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -259*x**2 - 43*x**2 + 68*x**2 + 23.\nAnswer: -234*x**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*d + 2844 = 3*d. Let h = 157 - d. Let i(r) = -r + 7. Let k be i(5). Which is the nearest to h?  (a) -1  (b) -0.2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 15, g: 5}. Give prob of sequence yyg.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.02  (b) 5  (c) -1  (d) -0.079\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 404*w**4 + 16595*w?\nAnswer: 4848*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 + -6. Suppose 0 = -r - y + 11 + 7, -y - 78 = -5*r. Suppose 5*n = -z + r, 2*z = n - z. Solve b = 2*k + 3*k + 4*m + 15, n*k + m + 2 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 369865489?\nAnswer: 7, 43, 1228789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of -12*v + 15\/2*v**2 - 107. Let d(y) = 6*y - 5. Determine 12*d(s) - 5*n(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.959 + -3.041. Let k = 7 + -7.3. Let t = k - -0.2. Put j, t, -3 in descending order.\nAnswer: t, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + 16 + 8 - 10) + 3 + -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -71 + 64 + (-1)\/1. Sort c, 0, -2 in descending order.\nAnswer: 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1241.951 rounded to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -356662514*i + 790160730 wrt i?\nAnswer: -356662514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -60\/2711599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (3 + -5)) + 5 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2214 - -1404. Round q to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p + 24 = -4*p + 4*c, -5*c - 1 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 150931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaa. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1996546 is divided by 11030?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-i**3 - 6*i**3 - 30*i**3)*(-3 + 1 - 15)*(-5 + 1 + 1) as v*i**3 + x + m*i + u*i**2 and give v.\nAnswer: -1887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 9*p + 1. Let d(n) = -n**2 + 6*n - 3. Let y be d(5). Let c be i(y). Let u = 50 - c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4*x**3 + 13*x**2 - 9*x + 17. Let f = 3398 + -3396. Let o(k) be the first derivative of k**4\/4 - k**3 + k**2 - 4*k + 1. Calculate f*p(s) + 9*o(s).\nAnswer: s**3 - s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 1 + 43 = 0. Let q = o - 6. Which is the second biggest value?  (a) q  (b) -1\/5  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5*o**2. Let t be s(-1). Suppose -d + 4*k = -825, -t*d = -0*d + k - 4083. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/25*(-40)\/16. Solve -d + 0*d + h = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10575586.186 - 0.\nAnswer: 10575586.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eeux when four letters picked without replacement from ujemejeuejxe.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 162769661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 + 0)*(-2414*s**2 - 226*s**4 + 2414*s**2) to the form n*s**2 + p + c*s + j*s**3 + k*s**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 + -17.3. Let a = y - 2.7. Let m = 6.23 - 6.63. What is the smallest value in m, a, -2\/19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {h: 10, j: 3, a: 5, f: 2}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27 + 26.987. Let k = 0.055 + a. What is k rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 - 5*p**2 - 5*p. Let s be j(-2). Let q = s + 4. Let a(d) = -2*d**q - 4*d**2 + 5*d**2. Let b(f) = -7*f**2. Determine a(b(m)).\nAnswer: -49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + 0.2. Let q = -37 - -32. Which is greater: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 4*4*(sqrt(68) - (1 + sqrt(68))*3)**2.\nAnswer: 384*sqrt(17) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004524045 to 6 dps.\nAnswer: 0.000452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*d + 70 = -4*y + 181*d, -10*y - 16*d + 530 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/6*(-26)\/((-4784)\/(-12)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -2*j + 4*d + 74, 0 = -3*j - d + 146. Suppose 3*y - j = 292. Does 33 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000459138113 rounded to seven decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 130252713 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.5 + 1.6. What is the closest to m in -1\/8, 5, 0.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -2*u**2 - 8*u - 36. What is x(-12)?\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -27. Suppose -4*r = -2*r - 6, -j = -g - 5*r. Which is smaller: -2\/13 or g?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10142 - 0.2?\nAnswer: -0.30142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 1:08 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4352, -4600, -4848?\nAnswer: -5096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 60*c**3 + 12*c**2 + 50*c - 527. Does 30 divide d(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2593872.\nAnswer: 2, 3, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 446\/7 - 64. Let v be (-237)\/48*5\/(-5 + -45). Let d = -3\/32 + v. Which is the nearest to d?  (a) u  (b) 0.09  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 12, g: 1}. What is prob of sequence ttgt?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -16*((-196)\/(-24))\/(-49)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 15*j + 9*j - 155 = -j, 2*p = -8*j + 42 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q + 1. Suppose -5*k + 15 = 0, 0 = 4*y - 5*k + 4*k + 343. Let n = y - -83. Give s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 126 = 8*v. What is the smallest common multiple of 126 and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -g + 5*b - 3, 0 = -2*g + 2*b + 18 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 4 - 1)*(98 - 98 + 28*g)*(-6*g + 2*g + 2*g) - 3*g**2 + 3*g**2 + g**2 + (-4 + 2 + 0)*(-1 + 1 + g**2) to m*g**2 + b + s*g and give m.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0*28726\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -171*q + 1542. Give h(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 200 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: Let d = 0.21 - -4.99. Let p = -5 + d. Which is the third biggest value?  (a) -1\/6  (b) -2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of u**2\/2 + 12*u + 3. Let q be p(-6). What is the second derivative of -c**2 + 0*c**2 + 2*c - q*c wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 13391.\nAnswer: -5\/13391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -57168861*b**2 - 95598902.\nAnswer: -114337722*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 - 66. Let f = r + 26. Let a be (15\/f)\/((-27)\/4). Is 1\/2 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -3*x + 44. Let q be (x\/2)\/((-4)\/(-1048)). Let y = 251 + q. What is y rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 - 89 = -118*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6614 (base 14) to base 15.\nAnswer: 5373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 386080 is divided by 11353?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -275 + 135. Let j be ((-2)\/1)\/((-8)\/l). Is 12 a factor of 48\/(-14)*j\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/10  (b) 28  (c) 479\/346\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 332 = c + q, c + 2*q - 160 = 168. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35444\/27 + 669457\/135. Let w = -3659 + n. Let h = w + 129\/10. Calculate the common denominator of -13\/6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 - z**2 + (0*z - z - z)*(-z + 1 - 1) + (-120 + 120 - 13*z)*(-z - 2*z + 0*z).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -113031322113 - 0?\nAnswer: -113031322113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g\/g**(2\/11))*g**4\/g)\/(g**0*g)**(2\/77))**(1\/33) assuming g is positive.\nAnswer: g**(320\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) 0  (c) -1  (d) -3\/70  (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*w = -15*w - 7*w - 2150 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-45)*6)\/(12\/(-90))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j + 3 - 3)*(-1 + 3 + 0) + 181 + 19*j - 181 + j - j + 2*j to the form k + d*j and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3264 and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0\/3)\/(1 - 0). Let l(r) = -r**2 - 2*r - 470. Let f be l(q). What is f rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -4*g. Suppose q = -3*q - 16. What is the least common multiple of i(q) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -x**5\/5 - 27*x**4\/5 + 61*x**3\/5 + 87*x**2\/5 = 0.\nAnswer: -29, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -6*w + 87. Let h be t(17). Let l(y) = y - 33. Let o be l(0). Let j = h - o. Solve 4*v - j - 1 = -3*i, i - 8 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 14084 and 14086 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -323 + -396?\nAnswer: -719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1699 + -1694. Let k(v) be the first derivative of v**4\/4 - 2*v**3 + 3*v**2 + 3*v + 1. What is k(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9964 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - o = 8. Suppose -5*t - 35 = -10, p - o*t = 7. Let w be (-1 + 3)\/2 - p. Solve -5*d + w*h - 12 = -3*d, 3*d = -2*h + 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, l: 5, w: 1, m: 2, p: 1}. Give prob of picking 1 w and 1 m.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 0 + 5)*(-2 - 4*a - 2*a**2 + 5 + 6*a) to l + s*a + c*a**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together 170563 and 0.529.\nAnswer: 170563.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 393 - 6657. What is i rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136644601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1463*v**3 + v - v - 1459*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (41\/(-41))\/(2 - 65\/30). Let n(u) = -u - 1. Let c be n(-3). Solve c = -q - 4*j + m, -3 = -3*q - 3*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/(-240)*40\/24.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -176 - -184. Suppose d*k + 18*k - 156 = 0. What is the greatest common factor of 34 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3595032.\nAnswer: 2, 3, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 37.4317 to one dp.\nAnswer: 37.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fwoccckcwkfw. Give prob of sequence cc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2643.806039 rounded to the nearest 10?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5cbe - -2c80?\nAnswer: -303e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-2))\/((-1)\/5). Let h = -271 - -268. Which is bigger: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 10 = -5*j, 428*z - 433*z + 2*j + 10 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (6 - (16 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4126545 and 825309.\nAnswer: 4126545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04800343 to three dps.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -21*o**2 + 2 - 41*o**2 + 1 + 9*o. Let x be l(11). What is x rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 1859*n - 2089542. Give y(1124).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17550*m - 17550*m + 358*m**2.\nAnswer: 358*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-8)\/2*(-219)\/1533.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1707190 and 12640?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -23*(-2)\/(2 - 0). Suppose k + 10 = 3*c, 3*c + 0*c - 18 = 3*k. Let q = 10 + k. Solve -q*j + 2*b + 30 = -j, 2*j - 3*b = u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1468396 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of -d**4\/12 + 13*d**3\/6 - 2*d**2 - 91*d - 9. Let x(a) be the first derivative of o(a). Determine x(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -7*v + 16. Suppose -15*q + q + 490 = 0. Factor -12 + 5*h**5 + q*h**v + 30*h**3 + 12 + 0.\nAnswer: 5*h**3*(h + 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 75824 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, i: 4, s: 3}. Give prob of sequence is.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10498 - 10498.053. Suppose 12 = -5*h - 8. Which is the third biggest value?  (a) -0.1  (b) h  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14501771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 356 divided by -5?\nAnswer: -356\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*d - 5*d + d - 3*d - 6*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3270 + 4?\nAnswer: -3264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 225 + 95 = 0. Let d = 61 - c. Let r = d - -52. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of -z**5\/60 + 35*z**4\/24 - 17*z**3\/3 - z**2 - 40. Factor s(h).\nAnswer: -(h - 34)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/((-6)\/(-4) - -1). Let h(p) = -7*p**2 + 1 + 1 - l. Let k(f) be the first derivative of f**3\/3 - 14. What is h(k(q))?\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2070 = 12*u + 5*u + 1798 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -3. Let o = -2 + -8. Let d = y - o. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-8) - 2\/(-8). Suppose -3 = 4*s - g, -2*s + 4*g = 11 + p. Let k be (-10)\/14 - (46104\/(-6902) - 3\/87). Solve s = k*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 4*i + i - 124, -5*f + 352 = 2*i. Let y be ((-1)\/(-1))\/(3\/f). Suppose z - 5*w = 7, 5*w = -z + 3*z - y. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 6*f + 2. Let n be -4939994*5\/10 + -1 + f. Round n to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 327 + -342 - (-1 - -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 + 2*y - 2*y)*(-49*y**2 + 29*y**2 + 41*y**2).\nAnswer: 42*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*d**4 + 10545*d**3*i**2 - 9*d**2*i**2 + 6*d*i**2 - 7*d - 3*i**2 - 4 wrt d.\nAnswer: -144*d + 63270*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 42 = -4*g, -g + 3*t - 5 = 13. Let o = g - -19. What is o rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 7*j - 79. Let g(h) = h**2. Calculate g(u(k)).\nAnswer: 49*k**2 - 1106*k + 6241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 7:05 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -3*z**3 - 14*z**2 - 6*z + 1. Let w(i) = -i**3 + 2*i**2 + i. Let r(n) = -c(n) - 6*w(n). Give r(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136457800.\nAnswer: 2, 5, 682289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 17\/7, -90\/17, 1.32?\nAnswer: -90\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*m - 16 = 4*y + 18*m, -4*y - 16 = 13*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 935*i**2 - 2828*i**2 + 956*i**2 + 939*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, 2, 4, 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the second derivative of -29*w - 2\/21*w**3 - 5\/21*w**2 + 0 - 1\/126*w**4. Factor d(c).\nAnswer: -2*(c + 1)*(c + 5)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2*l - 3 + 0)*(-4 + 5 + 4) as m + z*l and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4519*y**2 + 59*y - 747 + 609*y**2 - 59*y wrt y.\nAnswer: 10256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 109530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 387c - -24?\nAnswer: 38a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -446?  (a) 4\/23  (b) 0.7  (c) -4.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 2*m - 0*m + 11, 5*o - 4*m = 17. Suppose -o*i + 8 = -i. Suppose -4*n = -13 - 3. Calculate the remainder when n is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 30*b**2. Let k(i) = 6*i**2. What is x(k(z))?\nAnswer: 1080*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -247, -650, -1053, -1456, -1859?\n\"Answer: -403*o + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 6 = -n. Let m(y) = 77*y**2 - 28*y - 28. Let w(j) = -14*j**2 + 5*j + 5. Let t(z) = n*m(z) + 28*w(z). Let i(o) = 2*o**2. What is t(i(x))?\nAnswer: -28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.63771*-3.\nAnswer: 7.91313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b and 1 k when four letters picked without replacement from {o: 4, r: 1, k: 2, b: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4470000*j**2 - 2*j + 2. Let h be u(1). Suppose -f - 5*f = -h. What is f rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 13. Let g be (-15 + 2)\/(x - 1). Suppose 72 = i + 3*h + 2*h, -4*h = -16. What is the greatest common divisor of g and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3447002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g**2 + 4*g + 6. Let w be p(-4). Find the common denominator of -17\/11 and (-24)\/(-99)*w\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2883, -2966, -3053, -3144, -3239, -3338?\n\"Answer: -2*h**2 - 77*h - 2804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -213320 - -31020?\nAnswer: -122300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -4287\/5 bigger than -858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 250 = -2*w. Let s = w - 82. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -692, 2960, 4 in descending order.\nAnswer: 2960, 8, 4, -692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23560 = 7*o + 23273 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2571299?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of 5*g**2\/2 - 21*g - 6619. Calculate j(17).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 94399162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 19 in -3, -49, -3\/7, -88, 29, -2\/13?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21168367.\nAnswer: 11, 1924397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1988 - 1985 - 8*u - 9*u + 3973.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-6) - 422\/(-12). Let o = -23 + h. Suppose p + 10 = o. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -9*r**2 + 6*r - 3. Let j(v) = 6*v + 16. Let i(l) = l + 3. Let x(h) = 11*i(h) - 2*j(h). Let k(s) = -u(s) - 3*x(s). What is o in k(o) = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(90\/925))\/((-2720)\/272)?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 179 and 895.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9596879, -19193753, -28790627, -38387501, -47984375?\nAnswer: -57581249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 11. What is the least common multiple of ((1712\/20)\/4)\/((-2)\/(-10)) and n?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 13 - 3, -5*z = -3*k + 222. Let x = 71 + z. Suppose -5*r = 5*f - 330, -4*r - x = f - 95. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -7. Let j be ((s - 3) + -5)*(-24)\/2. Solve -j*z = -8*z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -132\/133 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2312475?\nAnswer: 3, 5, 11, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 130351205 (base 6) in base 14?\nAnswer: 4a51ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 951.162 micrograms in kilograms?\nAnswer: 0.000000951162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8046 and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(81\/(-6)) - (-66000)\/(-297). Let l = 234 + m. Solve -r = 4*q - 7 - 5, 2*r - l = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + -13. Let n = b - -24. Calculate the highest common factor of 56 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*g = 9, 0 = 3*t - 4*g + 15. Let h(b) = b + 8. Let m be h(t). Is (-18)\/((-3 + m)\/2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**2 - 38*f - 1638. What is p(-20)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.235 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - (-1 + 2 + 5). Let h = 24 - 13. Let o = g + h. Solve 10 = o*j - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, v: 1, r: 1, i: 1}. Give prob of picking 1 i and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Put -4, 18630672, 2 in increasing order.\nAnswer: -4, 2, 18630672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -842791 divided by -5?\nAnswer: 842791\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (6 - (6 + -2)) + (-14 - -46) + 9\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y + 19*y + 2*y - 5*y.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 9*o - 4. Let d(t) = 143*t - 65. Give 4*d(r) - 65*m(r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5\/3, 0.4, 0.03, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 480\/12*(-6)\/24*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-115)\/(-5)*(-1)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 1. Let s(z) = z + 11. Suppose -4*l + 236 - 54 = 3*c, 0 = 3*l - 3*c - 126. Calculate l*q(x) - 4*s(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25026 + (-30)\/4*(204\/(-18))\/(-17)?\nAnswer: 131, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (28\/630)\/(8\/(-12))*-24\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/2)\/(4\/48). Let w(n) = -n**2 + 6*n + 3. Let m be w(v). Solve -3*y = -m*c + 9, 5*y + 4 + 3 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 AM and 6:23 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 9*t**2 + 14*t - 12. Let s be f(10). Suppose -r - 11 = -s. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35235257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -10*z**3 + z**2 - z - 1. Calculate the remainder when 4\/58 - (14 + (-8928)\/58) is divided by q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52235112*q - 52235112*q - 2503*q**3)*(0*q + 0*q + q**2).\nAnswer: -2503*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -380 = 13*u - 29. Let q = -5.9 - -6.4. Which is the second smallest value?  (a) u  (b) -2\/11  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**3 + f**3 - 4*f**3)*(0 - 3 + 1) + 5*f**3 - 7*f**3 - 3*f**3 + 17*f - 12*f**3 - 17*f.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1093*n**5 - 1204*n**5 + 2927*n**5 + 2*n**5 - 2 + 2 + (-1 + 1 + n**3)*(n**2 + n - n) + 2*n**5 + 3*n**4 - 3*n**4.\nAnswer: 635*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4*m + 2)*(2 - 1 - 2)*(3 + 0 - 1)*(-1 - 3 + 1).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.18 - -1.7. Let y = m - -0.479979. What is y rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 6, 14, 44, 108, 218, 386, 624, 944?\n\"Answer: 2*n**3 - n**2 - 3*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23933208*g**5 - 178013*g - 13?\nAnswer: 478664160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 43578047  (b) 0.6  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**2 - 2*p + 3. Let t be v(3). Suppose -t = 5*d - 3*z, -3*d + z - 5 = -0. Which is the closest to 0?  (a) d  (b) -0.3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -2.8. Let j = -4.6 - -4.8. Sort j, x, 3.\nAnswer: x, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 61505423, 61505424, 61505425?\n\"Answer: d + 61505422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 5.962955 milligrams?\nAnswer: 5962.955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q**2 + 3*q - 1. Let y(b) = -3*b**2 + 4*b - 2. Give -4*w(r) + 3*y(r).\nAnswer: 7*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**3 + 14*a**2 - 4*a + 17. Is i(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 2*w = 3*w - 16, 0 = 3*w. Let g = -13 - y. Differentiate 12*x + 5 - g - 8 with respect to x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 5:31 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) -2\/7  (c) -8\/9  (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*u**2 - 14*u**2 + 11*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.087*-945\nAnswer: -82.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 9:29 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21023.\nAnswer: 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 3) + -1 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -86280 and -1.\nAnswer: 86280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q + 11. Let s(g) = 3*g + 11. Calculate 3*s(k) - 4*v(k).\nAnswer: k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1067, -4058, -9043, -16022?\n\"Answer: -997*c**2 - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17\/((-153)\/162) - 17094\/(-539)?\nAnswer: 96\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-235)\/(-55) + 1*(-4 + 1)*70\/42?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25197*b**3 + 25192*b**3 + 25192*b**3 - 75579*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + 0 + 0\/(-1). Suppose -3*g + 31 - 1 = d. Suppose 18 = -i - 4*x, 2*i + 3*x + 17 = 6. Solve -3*a + 3*w = i + g, w + 8 = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83833.52 milligrams in grams?\nAnswer: 83.83352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13887 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/((b**(2\/29)*b)\/b)))**(-4\/27)*b**(6\/5)*b**(-19) assuming b is positive.\nAnswer: b**(-69727\/3915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 67201*i**2 - 9*i + 25. Is p(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -620001*d**2 - 7*d - 10. Let y be n(-5). Round y to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (76 - 17) + -62 + (-1 + -1 - 21)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f + 2. Let p(m) = m + 1. Let o(q) = 2*p(q) - 3*w(q). Let c be -3*4\/18*6. Does 12 divide o(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8460 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.055808 to three dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-36)*24\/16)\/(3\/930*5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + i. Let j(f) = 3*f**3 - f**2 + 11*f + 17. Let g(l) = -l**3 - 2*l - 5. Let k(x) = 5*g(x) + j(x). What is k(u) - p(u)?\nAnswer: -2*u**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + s - 3. Let x be j(4). Suppose -5*r = 14 - 64. Let c be (-6)\/x - (-276)\/r. Solve -4*f + 4*p - c = 0, 5*f - 2*p + 9 = -14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -30901043, -61802086, -92703129, -123604172?\n\"Answer: -30901043*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 303*t**3 + 4*t**2 + 6*t - 1. Let f(y) = 304*y**3 + 5*y**2 + 7*y - 2. Let k(j) = 2*f(j) - 3*v(j). Is 49 a factor of k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 5.5220647\nAnswer: 1.10441294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (2\/(-10) - 8\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) - sqrt(72)*-1)**2 + sqrt(2) + sqrt(2) - (sqrt(12)*2)\/sqrt(6).\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224878234.\nAnswer: 2, 7, 16062731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -8*k - 15. Let d(f) = -9*f - 14. Let r(o) = 2*d(o) - 3*s(o). Let a(x) = -5*x + 1. Let m be a(-1). Let l(v) = -v - 3. Determine m*r(c) + 34*l(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 122.3 and -13.60718142?\nAnswer: 135.90718142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x + x + 112. Let z(m) = -6*m - 102. Let g be z(x). Let j(i) = i - 2. Let c(a) = 9*a - 17. What is g*c(w) + 51*j(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -5*y. Let a(c) = -c - 3. Let l(u) = 2*u + 5. Let f(i) = -5*a(i) - 3*l(i). Give r(f(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 4*f**2 - 9*f + 4. Let w(v) = 2*v**2 - 4*v + 2. Give -7*w(r) + 3*x(r).\nAnswer: -2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/2001 and -12\/391.\nAnswer: 34017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 88 and 106238?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*y = -26*y + 5*q - 24, -y - 2*q + 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 494935.2l to millilitres.\nAnswer: 494935200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -13, 1.2, 613, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 140 divided by -267104\nAnswer: -35\/66776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 382942114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -80 - 4. Let t = i + 83.66. Which is smaller: 1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13*b**5 + 6986*b**4 + b**3 + 4*b**2 - 4*b - 50253 wrt b.\nAnswer: 780*b**2 + 167664*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 3799*y = 3788*y - 15, 5*y + 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 AM and 6:37 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10367563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -49*t + 102. Give q(-4).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange o**3 - 14*o + 4*o**2 + 14*o + (-3*o**2 + 3*o**2 - 2*o**2)*(-2*o + 4*o + 3*o) to the form t*o + p*o**2 + s + d*o**3 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggzgzzzzgg. What is prob of sequence zz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-20 - -14)\/(-1 + 15). Let l = -1507\/70 - -108\/5. Which is the biggest value?  (a) y  (b) 1\/15  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (0 - -4) + (-8 - -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-9)*(-200)\/800*-1*114\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 0*a + 3*a - 145 = 0, 0 = 3*g - 4*a + 114. Let t = 61 + g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 276278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -7\/6, -65075, -10, -4?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3 - -2 - -4)*(10 + (-18256)\/(-48)) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*d - 20 = -175*d + 2*g, 4*d + 56 = -5*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 + h + 4435. Let d be c(0). Let w = 1099 + -1090. Suppose w*m + d = 14*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eqqqqqqe. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2580 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 539613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*u - 7*u. Let i be u\/(-2)*6\/(-1) - -58. What is the greatest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 12:28 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fifty-five quarters of a day?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = 12, p = -4*u + 17 - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 924 and 68.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 5*c + 3, -2*h + 0*c + 2 = 2*c. Suppose -2 = r - h. Let z(w) = 2*w**2 + 2*w - 3. What are the prime factors of z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2480*v + 109632 = -946*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = m + 18, 2*i - 6*m - 10 = -7*m. Let x(a) = -4*a - 88. Let b be x(-23). Solve g = b - 2, i*q + 3*g - 26 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*k + 5*n + 95, -5*n = -3*k - 41. Let p = k - -24. Let m(a) = 3*a**2 - 3*a. Give m(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.6 - 0.4. Let n be ((-6)\/5)\/(75\/(-250)). Sort -4, r, n in ascending order.\nAnswer: -4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -548751 by -5.\nAnswer: 548751\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.23 * -9390632\nAnswer: -2159845.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -67*w**3 + 6*w**5 + 67*w**3 + (-3*w**3 - 6*w**2 + 261 - 266 + 2*w**2)*(7*w**2 - 9 + 9 + (1 - 1 - w)*(2*w - 2*w - 2*w)).\nAnswer: -21*w**5 - 36*w**4 - 45*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -42.6 - -43. Which is the smallest value?  (a) u  (b) -0.1  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*p**4*s*z - 494*p**3*z**3 + p**2*s*z**3 - 4*p**2*s*z + p**2*z - 2*p*s*z**3 + 2 wrt p.\nAnswer: -144*p*s*z - 2964*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108956*b**2 + 0*b + 0*b - 219913*b**2 + 110692*b**2.\nAnswer: -265*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 98006187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -223538*x - 15246 = -223296*x for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 AM and 4:52 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3933150448 to the power of 1\/2, to the nearest integer?\nAnswer: 62715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 425584 is divided by 184.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 27*j**2 + 3*j**2 + 27*j**2 + 14*j**2 as r*j**2 + l + v*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 35 in 1, -0.036, -2\/9, 3, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16829 is divided by 181.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 5366, 22, -6 in ascending order.\nAnswer: -6, -0.4, 22, 5366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9663249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -2*(5*sqrt(450))\/(sqrt(9) + 6*sqrt(9)*1))*3.\nAnswer: -150*sqrt(2)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 188, 366, 560, 776, 1020, 1298, 1616?\nAnswer: 1980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 5 - 1 = -3*g, 2*w - 2*g - 24 = 0. Solve 0 = -0*b + b + 4*f + w, 2*f = -3*b - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, j: 6, x: 2, a: 3}. What is prob of sequence ux?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91458 = 78*x + 94578 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -190, -219, -270, -349, -462, -615, -814, -1065?\n\"Answer: -j**3 - 5*j**2 - 7*j - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1414*h**3*o**3*x**2 - 2*h**3*o**2*x - 19*h**2*o**3*x - o**3*x**2 + 10 wrt x?\nAnswer: -2828*h**3*o**3 - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 - -18. Suppose -t - 6 = p*f, -t - f = t. Suppose 0 = t*h - 4*h - 4580000. What is h rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 16) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 438 and 9782.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9.36 - 8.96. Put s, 5, 0.3, -1 in descending order.\nAnswer: 5, s, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 91 = 12*o. Let q(a) = 2*a + 46. Let g be q(-30). Are g and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1094548043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of c**6\/120 - c**5\/12 + c**3 + c**2. Let j be g(5). Solve -5*v = -t - 16, 4*t = j*t - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7860528211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 - -53. Suppose -a = -3*z + r, 0 = a - 6 + 3. What is the common denominator of -103\/22 and (19\/(-6))\/(5\/z)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/180113417 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(5 - 3) + 1. Let q = 1893 - 1895. Which is the nearest to d?  (a) -3\/4  (b) q  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(315) + sqrt(315))*-1)\/(sqrt(25)\/(-2*sqrt(5))))\/((sqrt(9) - (sqrt(18)\/sqrt(2)*4 + sqrt(9)))*-5*6).\nAnswer: -sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -18. Let p(o) be the second derivative of -o**5\/10 - o**4\/12 + o**3\/6 + o**2 + 2*o. Let f be p(-1). Solve 3*s = -f*s - l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - (-1)\/((-1)\/10). Let i be -2 - -1 - 10\/(-2). Let f be (-165)\/g - i\/12. What is the greatest common divisor of 144 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*k - k**2 + 1 + 5*k + 695*k as c*k + w + g*k**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 65385947 to the power of 1\/2, to the nearest integer?\nAnswer: 8086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {y: 1, t: 2, g: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 791 and 20117051?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 - -2 - (-61 - -50) - 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*h + 69*h + 66*h - 204*h = -160 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 217, 690, 1399, 2326, 3453, 4762?\nAnswer: 6235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 - 27*o - 1830. Let u be z(-43). Calculate the greatest common factor of 472 and u.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -212 + 3835?\nAnswer: 3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aqfo when four letters picked without replacement from {a: 1, r: 1, q: 1, g: 2, o: 2, f: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*z**5 - 3951*z**4 - z**3 + 96644*z**2?\nAnswer: -120*z**2 - 94824*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1399, 2699, 3967, 5191, 6359, 7459, 8479?\nAnswer: 9407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 1:52 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 34*b**4 + 2*b**2*i + 118*i + 2 wrt b?\nAnswer: 136*b**3 + 4*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a**2 + 21*a - 9*a - 11*a - 2 + 2*a**2 + 2 + (-2*a + 4*a - a)*(-4*a + 5*a + 0*a).\nAnswer: 6*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -4 + r + 4. Let q(m) be the second derivative of 0 + 0*m**3 + 1\/12*m**4 - 3*m + 0*m**2. Determine u(q(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -1. Let v(r) = 2*r + 1. Let u(b) = -2*b - 2. Let d(q) = 3*u(q) + 2*v(q). Let h be d(-2). Solve o - c*o - 5 = h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -110111100?\nAnswer: 110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*t = -31330 - 11262. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 9*q - 3. Give n(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + 623?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/6, -5, 5, -25 in ascending order.\nAnswer: -25, -5, -1, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*t**5 - 22133*t**3 + t**2 + 20541*t.\nAnswer: 120*t**2 - 132798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 14 = 4*z - z, 3*t - 4*z = 4. Are t and 4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 3314627312 and 0.4.\nAnswer: 3314627312.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 7:03 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q - 580. Let o be t(0). Round o to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((6 - 10\/((-3800)\/1349)) + -9)\/((-3)\/12)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 303 and 2828.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 PM and 9:40 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-30)\/25)\/(10\/25)*-239 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 204 = 3*y, 13*y + 6 = 10*y + 5*y - 2*p + 94 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/17732 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 5\/((-40)\/112))*(18 + -17)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u - 119 = 7*u - 2*r, 0 = 4*u + 4*r - 100. Solve -17*q + u*q = -24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 53314916 and 1674?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -89491, -89397, -89303, -89209, -89115, -89021?\n\"Answer: 94*u - 89585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -39 + 76. Suppose 80 = 3*s + 2*f, -3*s + 118 = 3*f + c. Calculate the remainder when s is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 141739*h**2 + 1887*h + 1. Is q(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129.4 rounded to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2470824 or -2470826?\nAnswer: -2470824","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 j when three letters picked without replacement from xjggtgggttgx?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 4, 0.5, -2, -6.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from llydddddldndddd.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 36331 and 24.\nAnswer: 871944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1633783602 + 141.7\nAnswer: 1633783743.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 12\/7385 and 1\/50?\nAnswer: 73850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (57 - (40 + 28)) + 1 + 6 + (-4 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4461 and -0.0383623.\nAnswer: -0.4844623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of -b**5\/20 - 5*b**4\/12 + 7*b**3\/6 + 2*b**2 - b. Let q be 8\/(-2) + 2*-1. Determine d(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of 65*j**4\/24 + j**3\/3 + 6*j**2. Calculate the remainder when b(1) is divided by 1\/((2\/2)\/23).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 0*s**2 - 43*s - 2*s**2 + s**2 - 46 + 48*s - 25*s. Calculate j(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 36805300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 229343 - 161692. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/5 - 3858*x**2\/5 - 1862448*x\/5 - 1858592\/5.\nAnswer: -2*(x + 1)*(x + 964)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -110101 (base 4) in base 5?\nAnswer: -20142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 81117 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**(-2)))**31*(c\/(c\/(c\/((c*(((c\/(c*c*c*c\/(c*c\/(c\/((c\/(c\/c**(-4)))\/c)))))\/c)\/c)\/c)\/c)))*c)\/(c\/((c*c**(1\/6)\/c*c)\/c*c)) assuming c is positive.\nAnswer: c**(-299\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 8.756.\nAnswer: 8.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 2*b + 5. Let f be r(2). Let c = -6 + 10. Solve f*v + 5 = 0, 2*s - c*v + v = -5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 262250 divided by 12\nAnswer: 131125\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3559 is divided by 474?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -14. Let m = -0.58 - -0.28. What is the closest to 3 in o, -3\/5, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32074799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fs when two letters picked without replacement from jssfsjffsffss?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 12 = -4*z - 0*z, 4*z = 3*i + 11. Let l be -2 - (-2 - (-4)\/z). Calculate the remainder when 63 is divided by l + 0 - -35 - 1.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 2. Let i = z + -3. Suppose -4*u + 2*u + 22 = i. Calculate the greatest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 74\/185*(1 - (6 + 0)). Sort -5, 0.35, z, -0.4 in descending order.\nAnswer: 0.35, -0.4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1075, 2155, 3237, 4321, 5407?\nAnswer: 6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2790066467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 113 (base 7) in base 5?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 1186 = -3*q, -332 = -3*u - 2*q + 380. Suppose 8*z - 2156 = -u. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 0.003.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -11163, -11168, -11175, -11184?\n\"Answer: -m**2 - 2*m - 11160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 5:06 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.58 + -0.08. Suppose h + 2 - 6 = 0. Let t be -1*(-1 + h - 2). Which is the third smallest value?  (a) 0  (b) t  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/((-2)\/(-23) - (-147)\/161). What is the common denominator of -107\/42 and 1*1\/z - 1001\/242?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 405096890 to the nearest integer?\nAnswer: 20127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2*v + 2946 + 424 = 0, 1118 = -g - 2*v. Let f = -473 - g. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((0 + sqrt(2057))*6 - (-3 + -1*sqrt(2057)))*1*-4*4)**2.\nAnswer: 118272*sqrt(17) + 25805312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1188 by 396.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3 - 6 = 0. Suppose i*j + 9 = -5*d, -d - 9 = -j - 2*j. Find the first derivative of -10*u - 4*u**j - 4 + 10*u wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 4*g - 45 - 247, -3 = -3*g. Suppose l + f = 2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - ((-2)\/(-14) - (-46)\/(-28))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {y: 1, h: 2, c: 2, n: 2, v: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**2 - 6*b + 4. Let p(j) = j**2 + j - 1. Let s(m) = 3*m**2 + 12*m - 10. Let u(d) = -5*p(d) + s(d). Determine 4*l(x) + 3*u(x).\nAnswer: 2*x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.04 - -6.04. Let u = 36405 + -36409. What is the third biggest value in q, u, -10, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6822, 6846, 6870, 6894?\n\"Answer: 24*w + 6798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/3355 and -51\/4213?\nAnswer: 1284965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 6*f**3 + 6*f**2 + 6. Suppose 5*z - 80 = 3*l, 15 + 4 = 3*z + 4*l. Let d(p) = -12*p**3 - 13*p**2 - 13. What is z*y(u) + 6*d(u)?\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52321?\nAnswer: 52321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -28*v - 801*v**2 + 815*v**2 + 11*v**3 - 4*v. Let s(o) = 4*o**3 + 5*o**2 - 11*o. Give 8*s(q) - 3*z(q).\nAnswer: -q**3 - 2*q**2 + 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 63 - 70. Let o(j) = -j**2 + 5*j - 5. Let u(a) = 4*a - 4. Let m(w) = 4*o(w) - 5*u(w). Let b(y) = 13*y**2. Calculate d*m(l) - 2*b(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40 (base 6) to base 2.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -2\/5, 46, -1 in ascending order.\nAnswer: -1, -0.5, -2\/5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -5*f - 5. Let x(w) = -2*w - 2. Let a(l) = 8*x(l) - 3*y(l). Suppose 7*h - 2*h = -200. Let g = 44 + h. What is a(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b + 1. Let f(t) be the third derivative of 0*t + 1\/6*t**3 + 5\/24*t**4 + 0 + t**2. Let r(v) = -5*f(v) + 6*q(v). Give r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*b**2 + 0 + 2\/7*b**4 + 0*b + 2\/7*b**3.\nAnswer: 2*b**3*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -353 + 30045*b + 30040*b - 90128*b + 30041*b.\nAnswer: -2*b - 353","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-44)\/((-1584)\/(-108)))\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3*a**3 - 7*a - 2*a + 8*a - 4*a**2 + 5*a - a to p*a**3 + w*a**2 + g*a + b and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/4 and 49\/132386.\nAnswer: 264772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17.958 + 18. Let g = w + -0.04146. Round g to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4544261 (base 8) to base 11.\nAnswer: 770984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 443.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -7*g**2. Let f(h) = 533*h**2. What is f(w(i))?\nAnswer: 26117*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -2*t. Let u(j) = -167*j**2 - 31*j - 2. What is x(u(n))?\nAnswer: 334*n**2 + 62*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 665444 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11066048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 936 and 26442?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/9?  (a) -3  (b) -1004  (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -3*(((sqrt(40)\/(sqrt(30)\/sqrt(6)))\/sqrt(4))**2 - (-4*(sqrt(2) + 2)*6)**2).\nAnswer: 6912*sqrt(2) + 10363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5169 in 4, -1\/5, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 6*p + p - 24 = 3*p, 0 = t - 8*p + 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 13, w: 5}. What is prob of sequence wpw?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 16650927\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence joo when three letters picked without replacement from zjjzzojjzzozzj.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/44019 and 167\/4380?\nAnswer: 880380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 30\/(-33)*25\/(-10) and 97\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/9, -0.4, 0.07, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 15 = -0*i - i, -15 = 3*m + 3*i. Let k be m + 10 - 1\/(-2). Let x = -554 - -549. Do k and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -451*h**2. Let q(o) = -305*o**2. What is p(q(s))?\nAnswer: -41954275*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 + (-8)\/(-6))\/(6\/9). Suppose 2023 = t*p - 677. Suppose -12*m + p = -7*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1344 + 1?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5358 - 52.0592. Let q = 0.095 + h. Round q to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21305 + 13222?\nAnswer: 34531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 89 = -16044*j + 16041*j, -j + 28*i - 7 = -150 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.32, 1\/5, -6\/7, 12\/353, -16?\nAnswer: 12\/353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 80.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -0*s + s - 7, -2*s + 3*g = -15. Let h be (0 + 0)\/(s - 5). Solve h = -u - 2*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 802093, 802117, 802161, 802225, 802309, 802413, 802537?\nAnswer: 802681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 44 = -28. Let i(d) = 249*d**2 + 203*d. Let y(m) = -62*m**2 - 51*m. Let w(v) = p*i(v) + 9*y(v). What is the second derivative of w(j) wrt j?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*u - 105*u - 122 = -2046 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48 + 3*r**2 - 20 - 4*r**2.\nAnswer: -r**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 161 + -150. Suppose -3*b = -4*o - 6, -2*o = 3*b - 3*o - 15. What is the lowest common multiple of b and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 10*d + 2. Let x be t(9). Let i be 0 + x - (7 - 8). Suppose -2*k - k = -i. Solve 4*w + 5 = -2*j - 5, -k = -2*j + 3*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -1073*d**2 - 107307*d - 625. Give z(-100).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -160 + 48d?\nAnswer: 32d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 80\/513 and -127\/342.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2 + 17648*d - 52980.\nAnswer: 4*(d - 3)*(d + 4415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 52051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 1:17 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/((i*i\/((i*i**(-4\/5))\/i)*i)\/i)))\/(i\/((i\/((i**5*i)\/i))\/i))*((i\/((i*(i\/i**2)\/i)\/i*i))\/i)**(4\/9) assuming i is positive.\nAnswer: i**(-124\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5\/((-20)\/8) + 4. Let k(t) = -2*t - 1. Let l be k(-2). Factor -n + g*n**3 - n**l + 0*n.\nAnswer: n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 12*z - 1. Let r(f) = 3*f. Let v(o) = c(o) - 3*r(o). Let g = 2 + 3. Give v(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 887, 3524, 7917, 14066, 21971, 31632, 43049?\nAnswer: 56222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -175784 divided by -8?\nAnswer: 21973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 14 - 49. Let g = -5 + q. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4707295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 17459642, 17459636, 17459630, 17459624, 17459618?\n\"Answer: -6*n + 17459648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of -c**3\/2 - 12*c - 51. Let h(s) = -s**2 - 169. Give h(p(d)).\nAnswer: -9*d**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4027534?\nAnswer: 2, 7, 287681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 32*w + 2910. Let h be a(-84). What is the greatest common divisor of 15 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -u**5\/20 + 5*u**4\/3 - 5*u**3\/6 + u**2 - 20*u. List the prime factors of i(6).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 187727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, f: 6, m: 2, j: 2}. What is prob of sequence jm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**4*x - 117*n**4 - 4*n*x - x - 20 wrt n?\nAnswer: -12*n**2*x - 1404*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 26) + (14 - -3 - (18 + -11)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23900 is divided by 11868?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) -0.3  (b) 0.036  (c) 1.3  (d) 0.1  (e) -412\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 12. Suppose -x*z + b = -3*z + 3, 31 = 3*z + 5*b. Factor 1\/3 - 16\/3*d**3 + 8*d**z - 3*d.\nAnswer: -(d - 1)*(4*d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1767092.\nAnswer: 2, 307, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of 0*o + 1\/60*o**5 - 8 + 0*o**4 + 9\/2*o**2 - 13\/6*o**3. Let s(q) be the second derivative of f(q). Calculate s(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 3*g**2 - 4773*g + 47430 = 0.\nAnswer: 10, 1581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -2. Let n(a) = 3*a - 33. Let p be n(12). What is the closest to o in 4, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1419335839.\nAnswer: 67, 167, 126851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3525.8 and 0.0932.\nAnswer: -3525.7068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 157442 a multiple of 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 + 7*m - 3. Calculate the smallest common multiple of (30\/(-35))\/((-2)\/14) and c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (15 - 19 - (8 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9801\/8 or 1226?\nAnswer: 1226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -784, 5, -139 in increasing order.\nAnswer: -784, -139, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 61260549 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 269*c + 191*c - 1478*c**2 - 460*c + 1 to the form s*c + a + f*c**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9884354 is divided by 404.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 120 and 208?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122121110122 + -1012?\nAnswer: 122121102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.0456 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 390 + -361. Let g(t) = -3*t + y*t - 10*t - 19*t. Let z(n) be the second derivative of n**4\/6 + n. What is g(z(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 4 + 5 - 15*y.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1213366461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 + 64 = 23*o + 181 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 + (-64)\/36)*(-12)\/40. Let d = q + 2\/5. Which is the nearest to 0?  (a) d  (b) -0.2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9483*n - 322497 = -38866 + 859 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9563 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*n**2 - 38*n**3 - 32*n**3 - 122*n**2 + 71*n**3 + 217*n**2.\nAnswer: n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 282 divide 116184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = 5*z - 2*g, -5*z = -5*g + 4*g - 63. What is the remainder when z is divided by (-15)\/(-18)*(-3)\/(-6)*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 230 divide 2434550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/29)\/(p\/((p\/(p*p\/(p**(5\/3)*p)))\/p)))\/(p*p**(-1\/3))**(-1\/5) assuming p is positive.\nAnswer: p**(-19\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/6)\/(-3*14\/63).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0330173391334 - 7.\nAnswer: -7.0330173391334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence doi when three letters picked without replacement from {i: 10, o: 3, d: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1221122452 divided by 6.\nAnswer: -610561226\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -373*r. Let o(z) = 76498*z**2 - 2*z + 2. What is o(k(d))?\nAnswer: 10643090242*d**2 + 746*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.14 + 0.1. Let a = 0.26 - t. Let j = -0.4 + a. Put j, -1\/2, 1\/5 in decreasing order.\nAnswer: 1\/5, j, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 35, -2\/9, -2\/19?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 2 = -q. Let m be 0 - (q\/9 - 0). What is the closest to -2 in 3, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44302, 88606, 132910?\nAnswer: 177214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.0039994 - 0.004. What is d rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*y + 2027 + 65 = 622 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*u**2 + 23*u**2 + 28*u**2 + 297 + 23*u**2 + 28*u**2.\nAnswer: 2*u**2 + 297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.99 - -3. Let v = 3.01 - z. Suppose -3*m - 2*d - 14 = 0, 3*d = -5*m + 4*m - 14. Sort v, m, -0.2 in descending order.\nAnswer: v, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 778750 and 11613.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = v - 9. Let y(i) = -i**3 + 2*i**2 + 4. Determine y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43423053 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 47701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 2*w - 3*n, -345*n + 20 = -350*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/((-3)\/15) + -2. Suppose 2*p - t = c + 7, 0 = 3*p + 2*c - 8. Solve w - 2*w - p = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 n when three letters picked without replacement from bbbbbbnbbnnbnbnbbbb?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58430 + 241994 = 3832*m - 50188 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3219*k = -3377*k + 2528 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 12*z + 12*z**2 - 35*z**2 - 12*z. Let k(m) = -5*m. Give k(l(j)).\nAnswer: 115*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from hfwzr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Solve 2*u = 2*o - 150, 10*o = -11*o + 24*o - 10*u - 715 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -4. Suppose -12 = -y*x + 2*h, 0*x = -x + 3*h + 6. Suppose m - 5 = -x. Sort -2, 5, m in decreasing order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 52 - 14 = -x, -5*x + 6*k + 114 = -16*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -54*p**2 + 3*p - 3*p - 3*p + 3*p + 7*p**2 + (-p - 3*p + 5*p)*(-3*p + 0*p - 2*p).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of -y**4\/24 - 7*y**3\/6 - 50*y**2 + 2*y. Let m be v(-9). Solve 3*w = -m + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/231 and -47\/32910?\nAnswer: 2534070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152*h + 709 = -1723 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -101000100000111111 (base 2) in base 15?\nAnswer: -34286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-31) - ((-117)\/63 + (-1 - -2))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 + -16. Let g be p + (3 - (-48 + 1)). Let l(t) = -6*t**2 + g - 52. Let i(o) = 3*o**2. Give l(i(q)).\nAnswer: -54*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*k**2 - 3*k**2 - 5*k**2 + (2*k + k - 4*k)*(1 + 2*k - 1).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3202432 + 3202432 + 30*h + 81*h.\nAnswer: 111*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2485003, 2485002, 2485001, 2485000?\nAnswer: 2484999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b - 2472 = -11*b. Is b a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 - 7*k**2 - 2*k + 9. Let h be c(7). Suppose -7*z - 8 = -3*z - w, -5 = -z + 2*w. Let d = z - h. Solve t = -d*t + 4*o - 28, -24 = 5*t - o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -4*x. Suppose -5*c = 2*f - 8 - 2, 4*f - 5*c = 20. Let t(v) = -f + 3 - v + 2. Determine b(t(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6667.\nAnswer: 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7fb9 (base 16) in base 10?\nAnswer: 32697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24334333556 - -3?\nAnswer: -24334333553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.04 - -0.36. Suppose 0*c = 2*c. Let a = 0.197 - 0.597. Sort a, d, c in descending order.\nAnswer: d, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4600 divided by 118.\nAnswer: 2300\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 67*i*w**3 - 3*i*w**2 - 2090*i*w - 317*w**3 - 14*w - 1 wrt w?\nAnswer: 402*i - 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14895\/2 + 7451. Let o(n) be the second derivative of -1\/20*n**5 + 12*n - 5\/2*n**3 + 0 - 3\/4*n**4 - a*n**2. Determine i, given that o(i) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of a**4 + 7*a**3 - 13*a - 6254?\nAnswer: 4*a**3 + 21*a**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 15744*f**2 - 11*f + 12. What is the tens digit of a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 889980?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1956438 is divided by 177858.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10519583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - 2*z - 6. List the prime factors of y(-7).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -14\/13, -1\/1031, -8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - 31036b?\nAnswer: -31036b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of -f**5\/60 + 3*f**4\/8 - 7*f**3\/6 + f**2 + 1. Let o(k) be the second derivative of q(k). What is the units digit of o(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 32*z**2 + 13*z - 4 + 1 + 6.\nAnswer: 32*z**2 + 13*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from iiruirdrccicoccorc?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0025917 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-76)\/399*(4 - (225\/(-10))\/(-3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29391.\nAnswer: 3, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + 2598?\nAnswer: 259c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2247*o - 5684. Calculate j(-5).\nAnswer: 5551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -14*c**2. Suppose -4*b + 24 = 2*f, -11*b = 5*f - 6*b - 55. Suppose 21 = 4*a + 1. Let q(j) = a*j - f*j + 2*j. Calculate q(p(o)).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -119103 + 59552 - 2518*s**2 + 59551 + 2551*s wrt s?\nAnswer: -5036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5339, 17758, 30171, 42584, 55003, 67434?\n\"Answer: r**3 - 9*r**2 + 12439*r - 7092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = t - 4. Let s = t + 1. Suppose 2*j - 4 = j. Solve -s*b = -0*b - j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -5\/11515914?\nAnswer: -5\/11515914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 0. Let g = 148.1 - 148.5. What is the fourth biggest value in a, -3, g, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of 18*g**5\/5 - g**4\/2 + 87*g**2\/2 + 220. What is the second derivative of j(x) wrt x?\nAnswer: 216*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -74*h - 74*h + 106*h as d*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 12.6. Let t be (-4)\/(-18) + 58\/(-18). Let a be (0 + -7)*(-638)\/(-2233). What is the fourth smallest value in -4\/7, a, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -186.545 - -0.545. Which is greater: k or -26\/7?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.01629 + -244.08371. Let t = q - -244. What is the fourth smallest value in -4, t, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10631 + 62?\nAnswer: 10713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 53709 and 12?\nAnswer: 214836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/10 and 21\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4791022, 9582048, 14373074, 19164100, 23955126?\n\"Answer: 4791026*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 86*k + 425. Let b be i(8). Calculate the greatest common factor of b and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1733\/415 + -2\/83. Calculate the common denominator of b and (-4)\/10 - 351\/(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -b**3\/6 + 9*b**2 + 2*b. Let u be z(4). Calculate the highest common factor of u and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 7:47 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -620*s**6 - 120*s**3*z - 4*s**2*z + 46*s*z + 7 wrt s?\nAnswer: -74400*s**3 - 720*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j*j*(j\/((j*((j**(-5\/6)*j)\/j)\/j)\/j)*j)\/j*j*j*j)*j**(2\/9)*j*j)\/((j*j**(-1\/3))\/j*j)**45 assuming j is positive.\nAnswer: j**(-641\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in -1.52, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 21\/5*y**2 - 18\/5 + 3\/5*y = 0. What is y?\nAnswer: -1, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 + 11*p. Suppose -2*q - 22 = -4*q. Let r be i(q). Let w = -51.52 - -15.52. Which is greater: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g = 2*g - 75. Let v be -1 - (g\/(-5) - 4). Suppose 1\/3*d**3 + v*d - 1\/3*d**2 + 0 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 11\/((-44)\/(-40)) + 2. Let s = r + 0. Solve -2*p + 6*p = -s, p = -3*x + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -153237.4593466+0.09\nAnswer: -153237.3693466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79 = 2*i - f, 2*i - 7*i + 199 = -2*f. Let h = i - 36. Suppose -1 = -h*v + 49. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 701 minutes after 1:18 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -29\/31773 - 2\/267. Does 0 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, m: 3, z: 9, q: 1, n: 2}. What is prob of sequence qzqn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7382211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14 and -71\/171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/469382202 and 89\/876258.\nAnswer: 1408146606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 400180 and 4215660.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -323, -1327, -2997, -5327, -8311, -11943?\nAnswer: -16217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 49813925*f**3*y + 6*f**2 + f - 2*y + 13548 wrt f.\nAnswer: 298883550*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - -210013000?\nAnswer: 210013001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1113.321355 rounded to 1 dp?\nAnswer: -1113.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -62414884.835676.\nAnswer: -62414884.835676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/42 and -8\/743.\nAnswer: 31206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 32, 45, 92, 185, 336, 557, 860?\n\"Answer: 2*j**3 + 5*j**2 - 16*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.7871096 + 67.2128949. Let f = o + -70. Round f to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 197*v**3 + 2*v. Let u be m(1). Let i = u + -160. Calculate the remainder when 191 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 284780868?\nAnswer: 2, 3, 23731739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 4*l + 6303 = 5*l + 6360, -4*l = 3*a - 57 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/5 - (-1737 - (6 - 7)). Calculate the greatest common divisor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18845747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-4))\/(-15*8\/(-40))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27206352 to the nearest integer?\nAnswer: 5216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 5*q + 3, -2*f + 0*q = 3*q + 11. Let u(m) = -m**3 - 2*m**2 + 6*m + 14. Let p be u(f). What is the remainder when 65 is divided by 0*1\/(-3) + p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.3, 1\/5, -0.13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 155 or 147?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -2) + -1 - -4 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 263 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 3*i**3 + 8*i + 28. Calculate n(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**2 - 2 + 2*f**2 - 8*f**2 + 6*f**2 + f**2 - 29*f**2.\nAnswer: -29*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -33 - -31. Let r = -16 + 11. Which is the closest to 0.1?  (a) 2  (b) w  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(1\/2)*q*q**(8\/9))\/(q**(-12\/7)\/q**(-20)) assuming q is positive.\nAnswer: q**(-2003\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -630, -3, -2, 45.6, 3.\nAnswer: -630, -3, -2, 3, 45.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + x + 14 = 0, -3 = -2*o - o - 3*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and -917.\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.9 - 1.1. Sort g, -1\/7, 0 in descending order.\nAnswer: 0, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -266 - -292. Suppose -2*a = -7*s + 3*s - 38, 2*s = -4*a + m. Solve -10*p + a*p + 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10*g**2 - 11*g**2 + 3*g**2)*(2*g + 11*g**2 + 178 - 13*g**2 - 226) to l*g**2 + d*g**3 + y*g + i*g**4 + w and give l.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.9 - -8. Let q = 0.01 + 0.59. Let w = g - q. Which is the closest to 1\/3?  (a) 2  (b) w  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 878877851?\nAnswer: 19, 46256729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-10)*(350\/165)\/(-14)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -37 + 97. What is the greatest common divisor of 300 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + 0 + (-11 - 0). Let o be 66\/10 + -3 + (-4)\/w. Is (-6 - -41)*o\/10 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -3*x + 2. Let g be z(0). What is the second derivative of 19*t**2 - t**3 - 24*t**g + 48*t - 100*t wrt t?\nAnswer: -6*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(-15*f + 10*f + 8*f - 5).\nAnswer: 3*f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 34 + 6. Let m = 3 - 3. Let y(o) = -o + 5. Calculate the remainder when z is divided by y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5233 divide 320761968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide -2 - 1 - (-17)\/((-68)\/(-456))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 10 = 2*a. Does 8 divide (-2)\/(-5) - (-83)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -3*j - 10. Let u(z) = -5*z - 15. Give -8*d(k) + 5*u(k).\nAnswer: -k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1305332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1090\/9265 + (-31)\/(-170)*1.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 50.7 - -0.3. Let v = w - 52. Let n = v - -0.9999913. What is n rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 2*v + 10 = 0. Suppose 5*c = 3*p + 146, 0 = v*p + 4*c - 6*c + 237. Let a = 102 + p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4, 0.5, -0.1377, -0.3?\nAnswer: -0.1377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of 0 - 4\/105*m**7 + 1\/12*m**4 + 0*m - m**2 + 0*m**3 - 7\/60*m**6 - 1\/15*m**5. Factor s(p).\nAnswer: -2*p*(p + 1)**2*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/3, -3, 17, 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -802460, -802456, -802452, -802448, -802444, -802440?\n\"Answer: 4*a - 802464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express u + 12*u + 3*u + u as w + z*u and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-42)\/6 - (-62 - -44). Solve 280 = -p*n + 51*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 244687057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -6*b + 1. Let s be p(-2). Let v = 1380 - 1376. What is the first derivative of -s + 2 - 4*x + 15*x + v*x wrt x?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-18)\/4 - 2\/4. Let n be 8\/r*5*-1. Suppose 269 + 815 + 56 = 570*g. Solve n = 2*i, i - 5*i + 16 = -g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1351 and 31073.\nAnswer: 31073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 + 0 - 5)*(-2*h + 0*h + 0*h) + 2*h + h - 2*h - 2*h - 8*h + 8*h)*(-220*h**2 - 876 + 876 + (-5*h**2 + 0*h**2 + 6*h**2)*(-4 + 4 - 3)).\nAnswer: -223*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 49 = -38. Suppose -3 = 3*r + 3. Let m be (r\/(-6))\/((-4)\/(-24)). Solve u + 5 = -m*p + 3, -a = 3*p - 5*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2812118 and 31188.\nAnswer: 16872708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64656334?\nAnswer: 2, 1471, 21977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12370597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9410 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 9) in base 6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-7)*s*s)\/((s**(18\/7)*s)\/s))\/((s**(-3\/7)\/s)\/s)**(-21) assuming s is positive.\nAnswer: s**(-410\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1314785*(4731\/945 + -5). Let u = -8349 + j. Find the common denominator of u and 37\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -172828, -345659, -518492, -691327?\n\"Answer: -k**2 - 172828*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 178490 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 divided by 1424589?\nAnswer: -16\/1424589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/6 - 42664*f\/3 + 910108448\/3.\nAnswer: (f - 42664)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 28*l**2 + 45*l + 24. Let z be 27*(4 + -3)*-1. Let p be x(z). What is p rounded to the nearest ten?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 5*s**4 + 50*s**3 + 75*s**2 - 50*s - 80 = 0?\nAnswer: -8, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 0*z = -4*z + 12, z - 3 = 3*n. Suppose 10 + 15 = q + 5*y, n = 3*q - 4*y + 1. Suppose -8 = -r - 3*b, -3*r + 4*b - q = -3. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m - 4. Let t be x(-3). Let k be t + 2\/(-6)*-3. What is the units digit of (k\/6)\/(1\/(-13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x - 3. Calculate p(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2469*s - 823*s - 2*s**2 - 837*s - 825*s to the form u + q*s + v*s**2 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of -q**3\/6 + q. Let z(w) = 4 - 4*w**2 + 4*w**2 + 2*w**2. Let u(t) = 6*t**2 + 11. Let l(k) = 4*u(k) - 11*z(k). What is l(o(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12885 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 is the cube root of 9019 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, r: 1, s: 1, q: 1}. Give prob of picking 1 r and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -3227*y**2. Let l(h) = -7*h**2 - 57*h. What is l(p(c))?\nAnswer: -72894703*c**4 + 183939*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-42))\/(58\/174).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 577*u + 2 - 22*u**2 + 13*u**2 + 20*u**2.\nAnswer: 11*u**2 + 577*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 8:42 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 2410 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 8, -9, 1, 1\/10 in increasing order.\nAnswer: -9, 1\/10, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 634*p + 22 = 645*p. Let a be (-2)\/(-1*2\/4). Suppose -6*x = -16 - 2. Solve p*y = -a*v + y - 20, 15 = -x*v + 4*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 77*f**3 - f**2 - 195440*f + 129471151 wrt f?\nAnswer: 231*f**2 - 2*f - 195440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, 2.292, 1\/36, -0.45 in increasing order.\nAnswer: -0.45, 1\/36, 2\/13, 2.292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*t - 18*t = 440 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 41 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1307, 9612, 31541, 73712, 142743, 245252, 387857, 577176?\nAnswer: 819827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 22 = -2*i, 0 = 3*i + 3. Solve y*s - u + 9 = 0, -2*s - 3*u - 22 + 7 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27.6 + -0.4. Let l = -65 - d. Let f = l - -37.17. What is f rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48594613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -31*q + 369. Is n(8) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/31 and 27\/94525?\nAnswer: 2930275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (240\/(-225))\/((-2)\/(-10))*(-1260)\/15. Calculate the highest common factor of t and 1904.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)*2)\/sqrt(10) - sqrt(2) - sqrt(22)\/(sqrt(11) - (sqrt(11) - sqrt(11)*-3)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 11*q + 10. Let p(s) = -12*s - 11. Let d = -8 - -3. Let j(h) = d*p(h) - 6*o(h). Differentiate j(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.95 + -1.95. Let a = -6 - -8. Let p = 3 + -3. What is the nearest to p in b, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 + 9*v + 16. Let i be x(13). Let b = 59 - i. Suppose 6*j = j + b. What is the remainder when j is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/10*(-15)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -780*z + 48216 = 56*z + 13940 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11479103 divided by -5?\nAnswer: -11479103\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 7*s = 4*f + 22, 0 = -4*f - 5*s - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12325)\/(-4930)*(-88)\/10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -339*w + 198833506 + 29017547. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24962088, -24962089, -24962090?\nAnswer: -24962091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 77 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, 12514206, -4 in decreasing order.\nAnswer: 12514206, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-12)*-3*13\/(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*l + 5 + 48 = -31 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of z**4\/4 + 7*z**3\/3 + 5*z**2 + 8*z - 4. Let t be h(-6). Calculate the common denominator of 7\/5 and ((-6)\/t)\/3*41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 141 - -4?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 54285355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of 0*u**5 + 0*u + 0*u**4 - 10*u**2 - 1\/35*u**7 + 0 - 5\/6*u**3 + 0*u**6. Differentiate y(c) with respect to c.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26586 + -26581. Let g(z) = -z**2 + z + 1. Let d(c) = -33*c**2 - 5*c - 7. What is l*g(k) + d(k)?\nAnswer: -38*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 185938 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.02 from -1506.\nAnswer: -1506.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o - 2*o - o)*(2*o - 5*o + 2*o) - 3*o**2 - 3*o**2 + 0*o**2 - 2*o**2 + 0*o**2 + o**2 + 2*o**2 + 2*o - 2*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 3 = 12. Suppose 6*p = d*p + 111. Suppose 5*r - 8 = -4*c + p, 3*c = 2*r + 5. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/22)\/n)**(-14)\/(n**(-6\/11)*n**9*n*n) assuming n is positive.\nAnswer: n**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 33385031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -99*y. Let x(p) = 874270*p. Give x(j(t)).\nAnswer: -86552730*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-2) + (-56)\/16. Put -1, -2, -6, r in increasing order.\nAnswer: -6, r, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -650*u - 668*u + 1335*u.\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -3, -5, -3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 PM and 9:27 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 2046.\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1672555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 AM and 7:34 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 53 + -3. Suppose x = 5*j - 3*j. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(500) + sqrt(500) + 1*sqrt(500) + sqrt(500) + -2)**2 - (-2*sqrt(500))**2*2).\nAnswer: -160*sqrt(5) + 4005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 p, and 1 w when three letters picked without replacement from yivaywp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7 + (-90)\/12)\/((-2)\/(-2)). Let i be -1*2 + 54\/30. Is c at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ucev when four letters picked without replacement from vkcuvmuemvvmme?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 15, 1091, 2851, 5265, 8303, 11935, 16131, 20861?\n\"Answer: -5*r**3 + 372*r**2 - 5*r - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 13*g**2. Let x(q) = -7101042*q. Give x(b(f)).\nAnswer: -92313546*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 4*l, 3*l + 9 + 12 = 4*s. Suppose 33 = 3*z + 4*p, 2*z + s*z - 23 = 4*p. Solve -3*v - 20 = -z*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/3 - 96\/(-117). Suppose -5*v + 2 = -18. Suppose -v*m - 1 = 3. Which is smaller: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1436 by -2.\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -6 + (-14)\/(-2) + -2. Let i(d) = d**3 - 3*d**2 + d + 1. Let x be i(3). Put x, 0.3, f in decreasing order.\nAnswer: x, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 187063 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of a**5\/20 + 7*a**4\/12 + a**3\/3 + 11*a**2\/2 + 949*a. Give c(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -91432803 divided by 3?\nAnswer: -30477601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + sqrt(20)\/sqrt(4))**2 + 0 + sqrt(405)*2 - (0 + -1*sqrt(5))*6.\nAnswer: 20 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 - 10*u**2 + 11*u + 2. Determine n(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 61. Suppose 2*q - m = -5*p, -2*q = p + 2*p - 46. Calculate the greatest common factor of 69 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 107*m - 628. Calculate the least common multiple of 28 and w(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.157991 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, i: 6, y: 1, o: 2}. Give prob of sequence yzz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000136200771 rounded to 7 decimal places?\nAnswer: -0.0001362","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Is 212593826779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 7 - 30)*(5*c**4 - 2*c**4 - 4*c**4) to the form k + q*c**2 + b*c**4 + x*c**3 + z*c and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {t: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4 - (-21)\/6*2. Let f(n) be the first derivative of 2\/21*n**j - 7 + 0*n**2 + 0*n. Let f(a) = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 4*d + 15. What is the units digit of 5 - d - (6 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 - 7 = 8*l. Solve -w + 16 = -l*r, 3*r + 2 = r + 2*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87.38098 days in milliseconds?\nAnswer: 7549716672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22776349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/2 - 5) + 11. Let j = p - 8. Let u(h) = -7*h. What is u(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(84)*-3 - sqrt(84))*1*-1)\/(sqrt(48) - (sqrt(480)\/sqrt(90) - sqrt(48))))**2.\nAnswer: 252\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 4*s - 8. Let j(u) = u - 1. Let b(m) = -8*j(m) + y(m). Let n(z) be the second derivative of z**3\/6 - 3*z. Calculate n(b(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2463\/58 + 4986301\/117392. What is the common denominator of 71\/506 and l?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14441380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2263 - 2259 + 6788 - 3490*v**2 - 2266 + 3506*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 0*b + 2*b. Suppose 4*y + f - 12 = b, -f - 16 = -0*y - 3*y. Let o = 0.4 + 0.1. What is the third biggest value in -1, o, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -100407, -100327, -100113, -99699, -99019, -98007?\n\"Answer: 11*k**3 + k**2 - 100419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.006425782744 rounded to 6 decimal places?\nAnswer: -0.006426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 44 = 3*m. Calculate the remainder when 43 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2741 + 21965\/8. Calculate the common denominator of t and 41\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7331 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of 1\/140*n**7 + 0*n**6 - 3\/40*n**5 + 1\/8*n**4 + 0*n - n**2 + 0 + 0*n**3. Determine g, given that s(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = 5*q - 27, -21*q - 14 = -25*q + 3*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 6)*(2*h**2 + 5*h**2 - 5*h**2)*(4*h - 3*h + h)*(-2705 + 2900*h + 2705).\nAnswer: -46400*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -76*q + 76. Let a(z) = -35*z + 39. Let k(c) = 5*a(c) - 2*n(c). Give k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 161*f - 318. Calculate n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = f - 19, -4*i = 2*f - 8*i - 46. Let y = 186 + -83. What is the remainder when y is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (22159956 - -44)\/(2\/(-20)). Round u to the nearest one million.\nAnswer: -222000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is s in -s**4 - 350*s**3 - 39984*s**2 - 1387778*s + 11796113 = 0?\nAnswer: -119, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 35.51 smaller than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 12*g**2. Let t(d) = -102*d**2 + 50*d + 5. Let j(o) = 102*o**2 - 60*o - 6. Let w(f) = 5*j(f) + 6*t(f). What is w(u(h))?\nAnswer: -14688*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -256000 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2*w + 51 = 5*u, -u = 3*w - 30. Suppose g - 3*j = 26, 0*j - w = 3*j. Let a be 34\/8 - 231\/(-308). Solve 5*t + 13 = -a*o + 3*o, 4*o + g = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -261 - 3?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10058, -10044, -10028, -10010?\n\"Answer: i**2 + 11*i - 10070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/21 greater than or equal to 11.944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35131342?\nAnswer: 2, 19, 41, 22549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - r = 73468, c = -48*r + 46*r - 73470. What is c rounded to the nearest 100?\nAnswer: -73500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l**2. Let m(b) be the first derivative of 32*b**2 - 229 + 22 + 14*b**2 - 78*b**2 + 4*b. Give m(x(z)).\nAnswer: 128*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 16*d + 6. Give a(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(2\/2) + -10 + -3. What are the prime factors of (4\/(-10))\/((-116091)\/(-11610) + l)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -3*l. Let q be k(-2). Let g(u) = u + 3. Let m(j) = -19*j - 12*j - 3 + 30*j. Calculate q*m(s) + 5*g(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(3) + 2 + 2)**2 - sqrt(36)\/(sqrt(12)*3) - ((sqrt(162)\/sqrt(6))**2 - (sqrt(3) - -4*sqrt(3))*-3)).\nAnswer: -22*sqrt(3)\/3 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -378 - 592 = -5*f + 3*w, -5*f - 5*w = -1010. Suppose 23*s - f = 56. Find the common denominator of 2\/(-12)*(61 + 1) and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21431 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/(-15))\/(1\/51). Suppose -y - 3*k - o = -0, -2*y + 4*k = -16. Let p be y\/3*(-6)\/4. Which is smaller: 1\/4 or p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 12*x - 18. Let q be s(4). Let w = 69 - q. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-140)\/23 - 4\/(-46)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - 6*g - 12. Suppose -10*b = 2*q - 13*b - 10, 24 = -4*q - 5*b. Let o be (6\/(-15))\/q + (-54)\/10. Calculate v(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*c + 3*c. Suppose -3*n = -c*n + 5. What is the tens digit of (-6)\/(n + 31\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*t**3 + 44*t**2 - 1008*t + 2304.\nAnswer: 4*(t - 3)*(t + 12)*(3*t - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/15 and 173\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -7317  (b) 344  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3*p - 23. Calculate u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1187 - 2216 = 149*k - 4752 - 5356 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -70012652 divided by -2.\nAnswer: 35006326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15?  (a) 0.3  (b) 3\/4  (c) -3  (d) -2\/13  (e) 6\/7073\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*d**4\/5 + 12*d**3 + 42*d**2\/5 + 8*d\/5.\nAnswer: 2*d*(d + 1)**2*(13*d + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1020540 - 186811980.\nAnswer: -185791440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (8 + -4 + -6) - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -91*g**3 + 0 - 4 + 10 + g + 11 wrt g.\nAnswer: -546*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 219 + -425. Let r(x) = x**2 - 22*x + 25. Let i be r(12). Let c = i - z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -604\/323?\nAnswer: -604\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 - 7*m**2 + 8*m + 9. Let v be n(-8). Let k = -151 - -151. Suppose 9*x + 7*x - 144 = k. What is the highest common divisor of x and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 63, 126, 189, 252, 315, 378?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 220 = -5*v. Let x be (5 - 1)\/((-8)\/v). Let c be (-2)\/11 - 26\/x. Is -4 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (8\/(-2))\/(1 + -2). Suppose 4 = l*c - k, -2*c = 2*k - 5*k + 8. Suppose n = c - 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.715582323 rounded to three decimal places?\nAnswer: -3.716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -9\/2  (b) 2\/11  (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of -v**7\/21 - v**6\/15 + 161*v**4\/12 + 3046*v**3\/3 - v - 424. Find the second derivative of k(q) wrt q.\nAnswer: -40*q**3 - 24*q**2 + 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1645505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*l**4 + 72*l**3 + l + 521 wrt l?\nAnswer: 24*l**2 + 432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0012363932767 to six decimal places.\nAnswer: -0.001236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/5*j**3 - 57\/5*j**2 + 126\/5*j.\nAnswer: -3*j*(j - 2)*(j + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 13371.\nAnswer: 120339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 9*f**2 + 5*f - 26. What are the prime factors of z(4)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**2 - 13*f - 16. Suppose 2*t = 6*t - 44. What is the units digit of z(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1409 + 6855 = 183*h + 206*h for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1613*x = -818*x - 683*x + 5264 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 AM and 12:28 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -10111112220000 (base 3) to base 8\nAnswer: -7062700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 5\/88, 8\/229?\nAnswer: 5\/88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-2\/3)*v)\/v)**(11\/3)*v**(-2)*v\/(v**(-3\/4)\/v)*v assuming v is positive.\nAnswer: v**(107\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.8  (b) 4  (c) -5\/316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4247 + 4398.85. Round b to 0 dps.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sy when two letters picked without replacement from rsorllym?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 929 * -3.269\nAnswer: -3036.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + -3030113?\nAnswer: -3030112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -33*p**2 + 5 + 43*p**2 - 2*p - 8*p**2. Determine q(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5018?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -66*a + 2 - 3*a**3 - 294*a - 302 - 7*a**2 - 56*a**2 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -415.95 - -416. Let q = -0.1 - -1.1. Sort 1\/5, q, 5, c.\nAnswer: c, 1\/5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4023 + 4026. Calculate the highest common divisor of p and 726.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -38\/31 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*h = -11, 2*p + 0*h = h - 2. Let g = p - -1. Suppose -5*z + 3*s + 162 = 0, -g*z + 101 = -2*s + 37. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 9*f - 2 + (6*f + 5*f - 5*f)*(0 + 3 - 2).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2 - 7 = y, 8 = -4*n. What is the units digit of (2\/(-4)*18 - 2)*y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 11*h**3 - 3*h**2 - h - 2. Let s(j) = 8*j**2 + 245*j + 10 - 56*j**3 - 239*j + 8*j**2. Calculate 3*s(d) + 16*u(d).\nAnswer: 8*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1590 divided by 318\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 - 12*z - 13. Let k be j(13). Suppose 5*f + 32 = 22. Let m be k\/(-3 - (f - 3)). Solve m = -7*v + 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d. Suppose 0*u + 2*u - 24 = 0. Let p(a) = -u*a**2 + 8*a**2 - 6*a**2. Calculate l(p(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -271 - -274. Let h = 8 - 2. Let z = 4 - h. Put 1\/12, o, z in decreasing order.\nAnswer: o, 1\/12, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 13 + 12 = 0. Solve 3 + 2*c**2 - t*c**2 + 2*c**2 - 2*c**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17432 - -17436. Let c(d) be the second derivative of -1\/2*d**f + 0 + 0*d**3 + 0*d**2 - d. Let q(n) = -4*n. Determine q(c(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4936296227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 17*n**2 + 50*n + 31. Let p be a(-3). Solve 14 = -2*t, 5*v = -2*t + 4*t + p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 + 13*i - 63. Determine b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -590 - -594. Let o = 1 + -0.8. Let k = o - 1. What is the closest to -1 in -0.4, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/40 and -13\/1385305.\nAnswer: 11082440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**2 + 5526*n - 2544723.\nAnswer: -3*(n - 921)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(20)\/sqrt(5)) + sqrt(5) + 4.\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 2718.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 + -46\/3. Let p = -22923045587\/4437 + 5166339. Let n = p + -2\/261. Put n, f, 1 in ascending order.\nAnswer: f, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3359 is divided by 545.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -51996 or -155989\/3?\nAnswer: -155989\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2281 * -1547.\nAnswer: -3528707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**12\/d)*d*d\/d**12)**(3\/8) assuming d is positive.\nAnswer: d**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 72322 - 3?\nAnswer: 72319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -5, -16, -8\/5, 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*o - 59 - 24*o - 19*o + 364 + 65*o to r*o + w and give w.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (203*v + 53*v + 328*v)*(-3 + 3 - v**3) + (0*v + v - 3*v)*(v**3 - 3*v**3 + v**3)*(2 - 6 + 2).\nAnswer: -588*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -13. Let i be ((-2 - -2)\/(-3))\/(-1). Let y = -1 + i. Which is the smallest value?  (a) y  (b) q  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1088 and 130883?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000004495 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, l: 3}. What is prob of picking 2 w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 82197 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**2 - 42100*q - 443102500 = 0.\nAnswer: -21050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 - 77837*w + 77838.\nAnswer: -(w - 1)*(w + 77838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + -30131d?\nAnswer: -301318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 536*x**2 - 594*x**2 + x + 57*x**2 - 1. Let b(l) = -l**3 - 3*l**2 + l - 1. What is -b(s) + k(s)?\nAnswer: s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5\/26 + 33\/104. Let w = -0.8 - 0.2. What is the third biggest value in 2, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(1\/(1*(-5)\/(-5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 1113?\nAnswer: -333.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -26*a + 30*a, 2*y = a - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-7 - 11\/((-110)\/(-3500)))*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -19 - -23?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -619980, -1239956, -1859930, -2479902, -3099872, -3719840, -4339806?\nAnswer: -4959770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 - 4 + 10)*(2*k + 3*k - 4*k)*(-1 + 1 + 116).\nAnswer: 2088*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28633 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1057 + -1027. Calculate the highest common factor of u and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 149 or 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287*z + 186*z = 544*z - 13545 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuxxuxxruxuxyrrur. What is prob of sequence yr?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 408842 is divided by 318.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4304 and 59632.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3890447 and 1414708.\nAnswer: 15561788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 3*d**2 - 4*d**2. Let t(y) = 25*y**2 - 15*y**2 - 11*y**2 - 12*y**2. What is s(t(r))?\nAnswer: -338*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -6*h + 6. Let f(i) = -i - 5. Let w be f(-2). Let r be a(w). Solve 2*m - 5*y = 4*m - r, -4*y + 18 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 2*g - 1. Let h be a(-1). Suppose h*x + 2*x = 4. Let u be x\/7 - (-234)\/14. Solve -2 = 4*o + 3*w + 3, 2*o - 5*w - u = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -v + 12*v**2 - v**2 - 3*v wrt v.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/3*((-48)\/28)\/(-3). Factor -44\/7*c - n - 36\/7*c**2.\nAnswer: -4*(c + 1)*(9*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (27\/(-8) - -3)*-8. Let g(i) = -i**3 - 4*i**2 + 2*i. Let q be g(-5). Solve p*c + 0 = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 2*v + 284, 4*b + 0*b = -5*v + 613. Find the first derivative of -25 + 295*d - b*d - 215*d wrt d.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7.47 and -640291?\nAnswer: 640298.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-50)\/15*(-6)\/(-5). Let v(w) = -w - 1. Let m(r) be the first derivative of 5*r**2\/2 + 3*r - 1. Let l(a) = -m(a) - 6*v(a). Calculate l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/1485 + 4441\/10395. Let s = 9.07 + -0.07. What is the second smallest value in -4, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 259, 969, 2733, 6067, 11487, 19509, 30649?\n\"Answer: 86*z**3 + 11*z**2 + 75*z + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-21))\/((((-4)\/1)\/((-210)\/(-35)))\/8).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 12) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 328\/984*(-6)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -7*j**2. Suppose 4*p - 23 = 3*z - 9, -2*z + p = 1. Let r = 144 + -138. Let y(m) = r - 3 - 2*m**z - 3. Determine k(y(l)).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -121010221012 (base 3) to base 2\nAnswer: -1001101100101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 354436?\nAnswer: 2, 88609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 271064745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -j + 5*g, 0 = -3*j + 5*g - 44 + 4. Is 68 - (1 - (j - -4)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -855337, -1710668, -2565999, -3421330?\n\"Answer: -855331*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 182, 161, 106, -1, -178, -443?\n\"Answer: -3*m**3 + m**2 - 3*m + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - -2)*(-6 - (-2 + -3)). Factor -6\/7*h**2 + o + 2\/7*h.\nAnswer: -2*h*(3*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 5, -2.4, -21, -2\/3 in decreasing order.\nAnswer: 5, 2\/9, -2\/3, -2.4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3*y + 3)*(0*y**2 + 0*y**2 + 3*y**2).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4007*x = 4011*x + 4*w + 4, x = -17*w - 33 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2426244.7576 - -2503410.9575976. Let m = -77165.8 + p. Let k = m - 0.4. Round k to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 248\/(-6)*(405\/280)\/9 and -97\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zlzrjzzrd. What is prob of sequence jlzd?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 9 = 0, 0 = n + s + 16 - 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 199, 818, 1855, 3310, 5183, 7474?\n\"Answer: 209*n**2 - 8*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3\/5 + 1901452*v**2\/5 - 7605784*v\/5 + 7605776\/5.\nAnswer: -2*(v - 950722)*(v - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {g: 6, h: 3, p: 4, d: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 261563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(9)\/sqrt(3) - sqrt(3)) + -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and -16.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3\/19 + -51\/38. Suppose -2 + 2 = 7*m. Which is the closest to -1\/12?  (a) -0.1  (b) p  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 - 4*i**2 - 5*i + 6. Let p be l(5). Suppose 4*y + 37 = p*y + a, 4*a - 88 = -5*y. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 147\/49*3*(-1)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/14)\/g**(-15)*(g\/(g\/(g\/(g*g**13))))\/g**1 assuming g is positive.\nAnswer: g**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(102)\/(2*sqrt(6)))*6.\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 10:02 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -229869, -229873, -229877, -229881, -229885, -229889?\nAnswer: -229893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(2916) + (sqrt(2916) - 6*sqrt(2916)*-1) + sqrt(2916) + sqrt(2916))\/(4*sqrt(432)*-1 + sqrt(432)).\nAnswer: -5*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -226*g - 25168 + 564856 = 0. Is 2392 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 795  (b) -5  (c) 0.1  (d) 0.4  (e) 1369\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -99167 - 3?\nAnswer: -9916a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1699, -13636, -46033, -109120, -213127, -368284, -584821?\n\"Answer: -1705*h**3 - 2*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -46*q. Calculate v(1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1147, -96, 3, -4 in decreasing order.\nAnswer: 1147, 3, -4, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -2*p**4\/5 - 448*p**3\/5 - 4752*p**2 - 480128*p\/5 - 3364768\/5 = 0.\nAnswer: -158, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3388, -27666, -93574, -221926, -433536, -749218?\n\"Answer: -3469*r**3 - r**2 + 8*r + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 - 2*k**2 - 2*k - 3. Let g be s(3). Suppose c = 4*m + 19699988, g*c - 39400009 = -2*c - 3*m. Round c to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -82*m**2 + 4677*m - 168. Determine l(57).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*f - 44. Let j be (-2 - 7\/f) + 90\/8. Solve 5*i - 13 = k, 2*i - j = -3*k + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2 - 3*x. Calculate g(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**3 + 519*z**2 + z - 519 = 0.\nAnswer: -1, 1, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37, 21, -11, -65, -147, -263, -419?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(133) + 2*sqrt(133) + sqrt(133)) + (sqrt(133) - (sqrt(133) + 1*sqrt(133) + sqrt(133) - sqrt(133))*-5))\/(1*sqrt(567)*-2).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*i + 672 - 337 - 335.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 27 = -3*q - 2*q, y - 5*q - 3 = 0. Let v(j) = -6*j - 2. Let u be v(y). 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 -741*h + 742*h = -c + 6821, -5*c - 4*h + 34105 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -179\/1680 and 59\/675976.\nAnswer: 20279280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 5:10 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7653552905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + -2)*2\/(-7). Let f = 18.5 + -19. Let s be (-3)\/1*2\/(-6). Which is the closest to s?  (a) f  (b) d  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from uuccuujcncjjcjnczcjz.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 496*n**2 + 2*n**4 + 3*n**3 - 2*n - 496*n**2 in the form z*n**4 + a*n + c + o*n**2 + b*n**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.09 + -0.14. Let z = l + -0.45. Which is the smallest value?  (a) -3  (b) -1\/6  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/24 and 1644\/20*(-2)\/168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7\/(-2) - (-2)\/(-4). Let g = -1993 - -1988. Is (10 - p)*(1005\/(-6))\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 + 4*z**2 - 4. Let j be i(-3). Suppose 2*d - 74 = 2*q + 92, j*d - 397 = -q. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 3:56 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.13 - -4.7. Let o = h - 3.77. Let i = 4 + o. Which is the nearest to -1\/2?  (a) 3  (b) -0.4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (-18 + -1 + 89) - (-6 + 5 + -14)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -5803 and -5802 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-14)*(-42 - 833\/(-34))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*g + 15. Let j = -273 - -281. Find the third derivative of j*i**g + i**5 + 18*i**2 - 10*i**5 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 648532.\nAnswer: 2, 73, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i**3 + 114*i**2 + 164*i + 56 = 0. Calculate i.\nAnswer: -2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 8 + 16 = 0. Suppose 3*z = -2*z + w*t + 25, 4*t + 10 = -5*z. Calculate the lowest common multiple of z and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -42700, -42655, -42564, -42415, -42196, -41895?\n\"Answer: 2*v**3 + 11*v**2 - 2*v - 42711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 574 and 14?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 4*z + 2*z + 1 - 3*z. Suppose 0 = -2*b + 14*o - 17*o + 1, 2*o = 3*b - 8. Calculate s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3201*-2.3\nAnswer: 7362.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 231456, 462912, 694368, 925824, 1157280, 1388736?\n\"Answer: 231456*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*z + 11. Is z equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3 - 44*c**2 + 130*c + 1352.\nAnswer: 2*(c - 13)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 6*l + 56. Suppose 10 = -2*g - 8. Let w be d(g). Solve 4*a + 5*x - 25 = 0, -w*x + 7*x - 25 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4344 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 33 or 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -42 - 70?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 13 - (14 - -20 - -4) - -97\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113 + 977 = -6*d. Calculate the common denominator of -27\/52 and (297\/d)\/((-22)\/(-8) + -2).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9 and 384.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2572 + -2572.0003758. What is f rounded to 5 decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -233.8 - -240. Let b = -6.200002355 + v. Round b to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -6*o**2 - 2*o**2 + 23*o**2 + 7*o**2. Let x(q) be the third derivative of q**4\/12 + 4*q**2 + 13. Determine x(f(a)).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of -p**5\/60 + p**4\/24 + 11*p**3\/6 - p**2. Let i(a) = 19*a + 57. Let r be i(-3). Give x(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 197471158 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of -m**8\/20160 + m**5\/20 + 3*m**2. Let k(y) be the third derivative of b(y). Let s(h) = 20*h**2. What is k(s(n))?\nAnswer: -400*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, -3220 in descending order.\nAnswer: 1, -4, -3220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 118.052 and 0.5.\nAnswer: 59.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 237 and 165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 46 + (344 - 357)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2913.577mg to kilograms.\nAnswer: 0.002913577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2590 a factor of 766448340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 5*i**2 - i + 2. Let l be f(-4). Let j = l + -58. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 - 4*k**2 + 4*k - 1. Let y = 2 + 1. Let s be m(y). Suppose -3*r + 13 = c, 3*c + 2*r - 23 + 12 = 0. What is the highest common divisor of s and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5474524161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -346851, -693709, -1040567?\n\"Answer: -346858*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2\/5  (b) -3  (c) 29.28093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -10*m + 17. Let p be s(-5). Suppose 2*a + p = 155. Does 16 divide (-4)\/a + 7399\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 7242535 and 0.\nAnswer: 7242535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -54315 and 5.\nAnswer: -54310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -3*w + 2*r - 368, 352 = w - 2*r. Does 45 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65 (base 10) to base 6.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 3 = -4*u + 2*t, -4*u + 16 = t. Let p(x) be the second derivative of x - 1\/60*x**6 + 0*x**2 + 0 + 0*x**5 + 0*x**3 + 1\/24*x**u. Factor p(w).\nAnswer: -w**2*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -114\/341 + 1\/1023. Let p = 100.2 + -91. Let k = p + -11. What is the nearest to 1 in k, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 4*u = 12, -3*v = u + 6 - 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-137)\/(-137)*((-9)\/6)\/((-345)\/(-20))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -7*j**2 - 6*j + 6. Let i(b) = 17 - 17*b - 4*b**2 - 9*b**2 + b**2 - 8*b**2. Determine -6*i(f) + 17*p(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/35*-2)\/(14\/490*5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -4*g - 7. Let o be s(-6). Let h(j) = 40*j - 67. Let q(d) = -17*d + 30. Let m(n) = -3*h(n) - 7*q(n). Let y(w) = -3*w - 26. What is o*m(b) - 6*y(b)?\nAnswer: b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3*l = -5*l - 10, 5*l - 1 = -4*o. Solve -2*s - 5 = -5*m - 20, -4*s + o*m + 12 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {f: 2, q: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/2 + (-9)\/(-9)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/9, -3, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38, 82, 162, 284, 454, 678?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 297*t + 17. Let k be r(3). Suppose -903*g = -k*g + 3360. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the third derivative of -p**7\/175 - p**6\/300 + p**5\/75 + 17*p**2. Let b(l) = 0. What is l?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 + -9. Solve -2*w + 4*k = -w + 22, -2*w + i = 2*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.72 - -6. Let n = -0.18 + h. Let s be (4\/14)\/((-18)\/14). Sort n, s, -0.1 in decreasing order.\nAnswer: n, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -6*m**2 + 78*m - 122. Let f be l(11). Solve 6*s - f*s = -4, -h - 3*s + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -135*l. Let y(o) = 468625*o - 4. Calculate j(y(h)).\nAnswer: -63264375*h + 540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -55935*u**2 - 56554*u**2 + 109561*u**2 + (-4*u**2 + 3*u**2 + 0*u**2)*(-4 - 1 + 3) as d + m*u + a*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 339 - 14076?\nAnswer: -13a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 5*a + 4, u + 10 = 6*u - 3*a. Suppose u*j + 0*j = -4. Is 0 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 3*a**2 - 41*a + 34. Let q be s(13). Suppose -4*l = -7*l - 27. Is 2 a factor of 3 - l*q\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -6*z**3 - z**2 + 1. Calculate h(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add -7578 and -0.342.\nAnswer: -7578.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 283184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1413 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 7 = 6. Let y be 0 + 4 + 0 + q. Let r(x) = x**3 - 6*x**2 + 7*x - 2. What is r(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 33*w**2 - 70*w + 423. Give h(30).\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 17 - 3\/(5 + -2). Suppose -g + 0 = -4*c. Let f = -0.06 + 3.06. Sort f, c, 1 in descending order.\nAnswer: c, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2938, -5210, -6818, -7762, -8042, -7658, -6610?\nAnswer: -4898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 585888 and 18819?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 2:41 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 3*f - 3 = 0, -4*t - 150 + 152 = -2*f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1288 and 73290.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k**2 + 1966*k + 16 - 1102*k - 1162*k.\nAnswer: -2*k**2 - 298*k + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/8*((-2 - 1) + (-207)\/(-57))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m. Let a(i) = -4*i. Let k(r) = 2*a(r) - 3*q(r). Let l(n) = 8*n**2. What is k(l(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156 - 195 = -3*o - g, 0 = 3*o - 2*g - 333. Calculate the remainder when 1044 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(-5)\/20)\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*n - 99*n = -53500. Round n to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/18 + 424\/36. Suppose l = -0*h + 4*h. Let x = 0.08 - 0.58. Which is the smallest value?  (a) h  (b) -0.4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 410 - 342. Calculate the remainder when d is divided by 1\/(2 + -1) + 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7142506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1204374 is divided by 151?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*m**2 + 21*m**2 + 141*m**3 - 307*m**3 - 28*m**3 - 1056*m**3 wrt m?\nAnswer: -7500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*d**3*j**2*k - 7*d**3 - 69*d*j**2*k**2 + 186*j**2 - 29*j*k**2 - j*k - 8 wrt j.\nAnswer: -4*d**3*k - 138*d*k**2 + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 9*x**2 - 7*x - 4. Let m(u) = 20*u**2 - 16*u - 20. Let q(r) = -10*r**2 + 8*r + 11. Let v(l) = 3*m(l) + 5*q(l). Calculate -7*o(p) + 6*v(p).\nAnswer: -3*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s + 34. Let u be g(0). Suppose i - u = -21. Let w be 6\/(-27) - (-706)\/18. Calculate the greatest common divisor of w and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-37 + 87 + -16 - -16) + -2 + 1 + -1\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 13.2083668\nAnswer: -2.64167336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 2:23 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 58 + -61.4. What is the fourth biggest value in -3, l, -1, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2477 = -4*l + 5*n, 2*n - 210 + 1450 = 2*l. Let a = -372370 - -3345748\/9. Let u = a + l. What is the common denominator of u and 9\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 22 = -o, -74*o + 32 = -72*o - 4*q for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5942311202 to the nearest integer?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -12 - (3\/(-3) - 2). Let o = g + 18. Solve -o = 5*l - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001958925 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2\/5 - 95776*y\/5 + 573315136\/5.\nAnswer: 4*(y - 11972)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -222 and -201493\/907 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 8 = -5*u + 37, q - 3*u - 9 = 0. What is the smallest common multiple of 22 and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -155 + 235. Suppose -7*d + 2*d + r = 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -84 + 3009?\nAnswer: 2a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 - h - 4. Let f be i(3). Suppose -3*y = -f*p - 55, -2*p + 5 = 2*y + 3*p. Calculate the remainder when y is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -90.59 - 2.41. Let m = 93 + k. Let u = -0.2 + -0.2. Which is the closest to -0.17?  (a) m  (b) u  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (200\/16)\/(5\/4). Let d be (6\/s)\/(188\/(-20)). Suppose -2*h - x = 3 + 4, 3 = 2*h - x. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q - 6. Let g be z(4). Suppose g*n = -0*n + 15600. Round n to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 63283880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 0, 0.1, -13 in increasing order.\nAnswer: -13, -2, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -1723 + p**3 + 1723 - 2*p + 2*p**2. Let d(y) = -6*y**3 - 15*y**2 + 15*y. Determine -2*d(r) - 15*v(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of 0 + 0*d**5 + 17\/2*d**2 - 8*d - 1\/6*d**6 + 0*d**3 + 0*d**4. Find the first derivative of l(t) wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5.665829mm?\nAnswer: 0.005665829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 5*a**3 + 88*a**2 + 2*a + 143. Is x(-11) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (310\/(-496))\/((-5)\/6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -160*v - 4. Let y(f) = -f**2. What is y(d(x))?\nAnswer: -25600*x**2 - 1280*x - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 1270.29 to the nearest integer.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 172 - 159. Suppose -l*v + 24498 = 5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2*k = 3*i + 6, 2*i - 11 = -3*k. Suppose l + 1 = -j + 5, i*l = 2*j - 8. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 886437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*n + 708 = 6*n - 85 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 18*b. Let s(a) = -14*a**2. Calculate s(z(h)).\nAnswer: -4536*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 66*z**2. Let m(f) = 13*f + 247. Determine m(g(r)).\nAnswer: 858*r**2 + 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 + 9. Let i = 5 - 21. Let h be i\/56*6\/4. What is the nearest to h in 1\/2, 2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.35 + 0.15. Suppose 3*r + 5*k = 8, -5*k = r - 13 - 3. Sort 0.9, v, r in descending order.\nAnswer: 0.9, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 20280 and 0.898?\nAnswer: 18211.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b. Let o(k) = -34*k**2 - 6*k. Let l(f) = o(f) + 6*q(f). Let n(d) = 14*d**2 + 11*d**2 - 53*d**2 + 5*d**2 + 13*d**2. Give l(n(c)).\nAnswer: -3400*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 738216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*s - 54 = -19*s. Let a = -9 - s. Let d = -254 + 360. What is the remainder when d is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d**(-1\/2)*d*d))**22)**35\/((d**(-5)\/d*d)\/d**(3\/4))**(-49) assuming d is positive.\nAnswer: d**(-5747\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/10 - (58320\/1600 + 126\/(-24)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) + (sqrt(396) - (sqrt(396) + (sqrt(396) + -2)*1)) + sqrt(176) + sqrt(176) + 2 + -5)**2*2.\nAnswer: -32*sqrt(11) + 1410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5560.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -763  (b) 0  (c) -0.4  (d) 2632  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/(a*a*a\/(a*a**8))))**(2\/7) assuming a is positive.\nAnswer: a**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2130 + -21401442?\nAnswer: -21404122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - (8 + 8) - (-30 - 7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -247, -2425, -8327, -19813, -38743, -66977?\n\"Answer: -310*w**3 - 2*w**2 - 2*w + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/3 and -31\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*i + i + 4*i)*(-i + 2*i - 3*i)*(125 - 70 + 32)*(9 - 27 + 0) to the form y*i + x + l*i**2 and give l.\nAnswer: 3132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -p**3\/3 + 37*p**2\/3 - 115*p\/3 - 1587 = 0.\nAnswer: -9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, i: 2, w: 1, r: 4, x: 2, o: 9}. What is prob of sequence imm?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35 - 33. Solve 3*j + 9 = 4*j + 2*g, -3*g = b*j - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 794679, 794678, 794677, 794676, 794675?\nAnswer: 794674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 4, y: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16.89 + 17. Let f = q - 11.11. Let l = 10.19 + f. What is l rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 3*v - 15 = 0, 3*u - 24 = -2*v - 14 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12.5 times 712.2\nAnswer: 8902.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11.5 - 5483.\nAnswer: -5494.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1854 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161655 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 - 4*a. Let l be x(5). Suppose 0 = 4*h + h + l*b, 5*h - 14 = 2*b. Find the third derivative of 0*q**3 + 2*q**2 + q**h + q**3 wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooooooooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*z - 32. Let s(c) = -z*c - 28*c - 28*c + 84*c. Let i(x) be the first derivative of -3*x**2\/2 - 1. What is s(i(t))?\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.5, -0.2, 4, 6\/13, -1\/95?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1561?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/5562 and -86\/92475.\nAnswer: 19049850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1704607552 to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 8. Let z be u\/(-21) + (-2)\/7. Solve 4*x - 2*x - 5*k - 28 = z, -2*x + 2*k + 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + k + 2*k - 57, w - 3*k = 3. What is the remainder when (-3)\/(-6)*0 + 44 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -352 + 1. Let b = u - -571. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16500 and 13425500.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -3\/4, 93, 3, 3\/80?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 58054.71 months?\nAnswer: 4837.8925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 2:31 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*7\/(7\/4). Let j(u) = 2*u - 5. Let f be j(p). Suppose 3*w - f - 3 = 0. Solve 4*t - 6 = w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90582 is divided by 30055.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 42828?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 9.659805 months?\nAnswer: 0.0080498375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1328 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.011225085 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 11:12 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 143 and 594143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 4*u**3 + 13*u + 4*u**2 + 162*u - 191*u to the form i + j*u**3 + k*u + x*u**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 59 + -62. Let w(t) = 2*t**2 + 22*t - 126. Let p be w(-16). Sort p, k, 3\/5 in descending order.\nAnswer: p, 3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/1942902 and -97\/9386.\nAnswer: 1942902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 194293 and 374?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*s**2 + 34*s - 137\/4.\nAnswer: (s - 1)*(s + 137)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 5*l + 17 = -5*g, -2*l = 4*g - 18. Suppose g*h = -v - 10, -3*h + 4 - 12 = -2*v. Let o(p) = p**3 - p**2 - p. Give o(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + 2 - 2)*(-w - 1 + 1 + 6*w - 2*w - 2*w + (4*w - w - w)*(2 + 3 + 2)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 431, 4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus -100879.3608?\nAnswer: 100880.3608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -1193*b**2 + 32175*b + 965. Calculate h(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13.6 - -12.89. Let c = -11.721 + 8.011. Let l = c - b. What is the second biggest value in l, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a + 7. Let x = -12 - -7. What is q(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*n + 4*n - 16*w + 230 + 102, 27 = w + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 49 - 1. Suppose 4*v - 12*v = -f. Suppose v*h - 14 - 10 = 0. What is the smallest common multiple of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/17908 and 49\/3256?\nAnswer: 35816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 962 != -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + 3 - 0)\/1. Suppose 0 = -h - 4*d + 610 - 20, -5*h + 2*d + 2928 = s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63 divided by -40.\nAnswer: -63\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 218, 96, -338, -1270, -2886, -5372, -8914, -13698?\n\"Answer: -31*t**3 + 30*t**2 + 5*t + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -520763*-0.34.\nAnswer: 177059.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -952*x**6 + 15*x**4 + 1642597*x**2 wrt x?\nAnswer: -114240*x**3 + 360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1912, 8402, 19212, 34342?\nAnswer: 53792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6498 + -6498. Let h(j) be the second derivative of -j**4\/12 + j**3\/6 - 3*j**2 + j. What is h(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of k**4\/4 + k**3\/6 - 2*k**2. Let d(j) = 2*j**2 + 9*j + 6. Let h be d(-4). Suppose 0 = -44*o + 46*o + h. Determine i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (20\/14)\/(-5) + 2752\/28. Let q(d) = -4*d + 2. Let z be q(-3). What is the highest common factor of u and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mtmm when four letters picked without replacement from mmmttt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**3 - 59*z**2 + 22*z + 211. Give o(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of -z**10\/1260 + z**6\/180 - z**3 + 3*z. Let s(t) be the second derivative of d(t). What is the third derivative of s(q) wrt q?\nAnswer: -480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -2*q + 209*u - 213*u, 5*q + u = 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 4 - 18*p)*(13 - 1 - 2).\nAnswer: -180*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16988549 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202406 + 203736 = -95*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 8 = -j, -q = -j + 3*q + 20. Suppose x = 2*y + 2, -4*y - x + 2*x - j = 0. Let u be -21*(-1)\/(-6)*(-16)\/1148. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01571763345 to 4 decimal places.\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -16*o + 1. Let v be p(-2). Let u = v + -89. Let w = u - -82. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8735417 millilitres to litres.\nAnswer: 0.0008735417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (2 - (14 - 25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 795.7 - 837. Let m = -17.4 - -58.4. Let f = m + i. What is the fourth biggest value in 2, -0.02, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {v: 3, c: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 85836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 + 7*v**2 - 4*v - 3. Let z be g(6). Let h = 8 + z. What is the remainder when 49 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -50*u**2 + 9*u + 42. Let d(y) = -25*y**2 + 4*y + 21. Let i(s) = -9*d(s) + 4*g(s). What is the derivative of i(c) wrt c?\nAnswer: 50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from yemui.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -100 - -124. Find the second derivative of -o*u + 13*u**2 - 13*u - 19*u**2 wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 122441*i**3 - 8*i**2 + 7*i + 3. Is r(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z**(1\/4)*z*z)\/z)*z*z)**(35\/2)\/(z**(-2\/9)\/z*z**(-6\/7)) assuming z is positive.\nAnswer: z**(16483\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30792 = 54*z - 42*z. Let h = z - -5769. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 517917140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and -7904.34.\nAnswer: -7904.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z - 34. Let v(k) = -2*k - 308. What is v(a(o))?\nAnswer: 2*o - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-36)\/54 - (-322)\/(-48) and (-3)\/2*46\/(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2976 times -4\nAnswer: 1.1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 176395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of 0*q**5 + 0*q + 27*q**2 + 0*q**4 + 0 + 17\/6*q**3 + 1\/30*q**6. Find the first derivative of a(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 244 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5582 = -f, 4361 = 4*n + 4*f - 6815. Suppose n = -5*c + 752. What is the common denominator of 16\/136 - (-14)\/c and 107\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 49519.216 - 2.2505.\nAnswer: 49516.9655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -778*m + 759*m - 247 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 PM and 10:00 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {x: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in -6, -3\/148, -2\/3?\nAnswer: -3\/148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 174748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -221b2 - 2?\nAnswer: -221b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 20*r + 19. Determine k(-5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 8*z - 3. What is the tens digit of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.7 + -6. Suppose -102*u = -22*u - 160. Which is the closest to 1\/2?  (a) v  (b) u  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v + 293*v**2 + 203741 - 407618 + 203877.\nAnswer: 293*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -11582521 times 0.03\nAnswer: -347475.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 - 13 = 3*g - 5*t, 2*g + 5*t = 0. Solve -g*b = 2*k + 30, -2*b + 2 = -3*k + k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 87659?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-18)\/(-16)*8\/6. Let g = -563.4 - -564. What is the third smallest value in g, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1548, 6312, 14248, 25356, 39636, 57088?\nAnswer: 77712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 152*s**2. Suppose 18 = 5*d - 3*d - 4*g, -4*d + 86 = 2*g. Let c = -14 + d. Let z be f(c). What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 220908851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*k - 148*k + 16 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w**2 + 536851530*w - 536851535 = 0 for w.\nAnswer: -107370307, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000052811958 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 455 = -4*o, 8*v - o = 4*v + 375. Let m(s) = 8*s - 34. Let n be m(9). What is the highest common divisor of v and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5*((1*(-3*sqrt(102) - sqrt(102))*3)\/(-4*sqrt(486)*2))**2.\nAnswer: 49\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f - 5. Let q be w(0). Let t(b) = b**2 + 6*b + 3. Let o be t(q). Let r = -3.4 - -2.9. What is the nearest to o in r, -1\/4, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -995 + 579.3. Let i = u + 360. Let n = i + 48. What is n rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -52*k**3 + 359*k**2 + k - 16. Let b be w(7). Which is greater: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1951358117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 42, 145, 298, 501?\n\"Answer: 25*m**2 + 28*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 4, -3*p = -0*j + 2*j - 319. What is the highest common divisor of p and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 3*d - 2. Let b be c(-2). Suppose 5*t - 117 - 23 = b. Suppose 4*s + 2*g - 25 = 15, 0 = -4*s + 4*g + t. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 21 - (-5 + (-1 - -3)). Suppose -z = a - 0*a - 6, -3*a + o = 5*z. Factor -228*l**4 + 6*l - 1 + 162*l**z + 1 + 120*l**5 - 51*l**2.\nAnswer: 3*l*(2*l - 1)**3*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 6*m**2 + 5*m - 10. Determine r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -834900\/7 smaller than -119270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (238\/7*2)\/((32\/(-4))\/(240\/(-40)))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/8*2)\/((-3)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -16 + 1. Let a(v) = -v**2 + 3*v + 2. Let g be a(i). Suppose -j + 8 = -g. What is the highest common divisor of j and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 43*h**2 + 137*h - 158. Give o(-46).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 260, 522, 798, 1094, 1416, 1770, 2162?\nAnswer: 2598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*y - 1 - y**4 + 5*y + 2*y + 5*y**3 - 1 to j*y**4 + s*y + o*y**2 + k*y**3 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*u + 103656 = -19*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16027437 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8751 - -7175821\/820. Calculate the common denominator of 13\/20 and w.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.044 and -0.165?\nAnswer: 0.00726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -601, -1201, -1801, -2401?\n\"Answer: -600*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.8 - -0.5. Let k = -7 + 4. Which is the second smallest value?  (a) 4\/5  (b) k  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -3*l**2 - 7*l + 5. Calculate x(-6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225869.\nAnswer: 7, 41, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 67588 = -5*o, -914 = -o + 3*a + 12594. Is (o\/21)\/(2\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 200\/250 - 2\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + 142. Suppose -5*s = -290 - p. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-22)*(-9770)\/2931.\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -114 + 303. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/40 and -157\/2665770.\nAnswer: 10663080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28 - -27.83. Let j = q - -0.17. Let f = -0.04 + -0.36. Do f and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d + 1 - 1)*(0*d - 2*d + 0*d) + d**2 + 0*d**2 - 3*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 3*y - 20 = 0, 3*n - 12 - 19 = -4*y for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 28*u**3 + 12*u**3 + 5*u**2 + 17*u**3 - 2*u**4 + 7*u + 6*u**3 in the form w*u**4 + s + v*u + o*u**3 + z*u**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**9*i*i)**(-3) assuming i is positive.\nAnswer: i**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(243))**2*2.\nAnswer: 4374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -p**7\/840 + p**6\/72 + 7*p**5\/120 - p**4\/24 + 6*p**3 + 10. Let w(q) be the third derivative of b(q). Give w(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7249069521.30000167 - -7249069553. Let v = i + -31.7. Round v to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4\/(-10) - (806707\/(-55) - 0)?\nAnswer: 3, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 105 + -54 + (-1 - -11 - (-3 + -2))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-1 + (-12 - (-14 - -2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 10 = -3*f. Suppose 3 = w - f. Find the third derivative of y**2 + 3*y**w - 4*y**5 + 0*y**2 wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6001397?\nAnswer: 19, 263, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 65.61 - 0.61. Let u = 3361250.999618 - 3361186. Let h = x - u. What is h rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7814132*y**3*z**2 + y**3*z + 2*y**3 - 86*y**2*z**2 - 2*y**2 - 7180*y - 2*z**2 - 19*z wrt y?\nAnswer: 46884792*z**2 + 6*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4\/325 - 6199\/1950. Let f = -30\/133 + -15759\/2660. Calculate the common denominator of f and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + 7*i**2 + 5*i + 4. Give m(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 4. What is the second derivative of j**2 + 2*j**2 - j**2 + m*j - 4*j wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1773991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 9)*(-3 + 2 + 2)*(1 + 0 + 0)*(2*i**2 + 0*i + 0*i).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 52*i**2 + 4*i - 2. Suppose p = 5*p - 4. Let u be w(p). What is the greatest common factor of u and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*f - 23*f - 3. Is f at least as big as 1\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7.37 - 0.37. Let z = b + -4. Sort 2\/5, z, 6.\nAnswer: 2\/5, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 2*v = -4*v - 8, 0*k - k + 2*v - 23 = 4*v for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/44*-3*8\/(-30).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 1:52 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24 - -6. Let t = 19 + n. Let u = 0 + 1. Is t at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4580501 equal to -4580502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, 17, -2 in descending order.\nAnswer: 17, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, 1, 2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 20 divided by -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 25337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 2)*(q**4 - 2*q + 2*q) + (-1 - 2*q + 1)*(36*q**3 - 35*q**3 + 24*q**3) - 3*q**4 - q**2 + q**2.\nAnswer: -52*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 58, 79?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 54232961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*n*o*p**3 + 2*n*o*p**2 - n*o*p - 102*n*p**3 + 3*n + o*p**2 - 3*o*p + 36*o + 302*p**4 wrt p.\nAnswer: 12*n*o - 612*n + 7248*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of -5*b**3 + 9. Let x(h) be the first derivative of 6*h**3 + 969. Calculate o(x(t)).\nAnswer: -4860*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q\/(q\/q**23))\/q)\/((q*q*(q**19*q)\/q)\/q) assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 5*a. Let h(q) = -2436*q**2 - 87*q - 783. Let l(g) = 111*g**2 + 4*g + 36. Let s(r) = 4*h(r) + 87*l(r). Determine t(s(m)).\nAnswer: -435*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 203 - 184. Suppose 14 = -4*g - 3*t - 2, i = g - 5*t. Is -16\/5 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1510*b*p**2 + 624*p**2 with respect to b.\nAnswer: 1510*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -4. Let r be ((-4)\/16)\/(28\/4712). Let j = r - -312\/7. Which is the closest to 2\/7?  (a) d  (b) -4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(13) - sqrt(832)*-2)*-5.\nAnswer: -85*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 96 + -64. What is the units digit of s + (-2)\/2 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 12:32 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 8*a - 10*a. Let m = a + 29. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -37*k. Let q(x) = 8*x**2. Calculate c(q(p)).\nAnswer: -296*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4*3\/15)\/(16\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5281\/511 - -2\/1533. Which is smaller: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 648 and 360?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -242.21066 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*r**2 + 8*r**2 - 8698*r**4 - 4 + 5 + 8705*r**4 - 2*r**3 - 87*r**2 to the form u*r**4 + n + t*r**3 + j*r**2 + k*r and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.30633 times 0.8\nAnswer: 0.245064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 558166091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(-10))\/(3\/(-30)). Suppose -m = -p*m + 12. Suppose -4*w**2 + 49*w**m + 25*w**4 + 49*w**3 - 10*w**3 - 4*w + 35*w**5 = 0. Calculate w.\nAnswer: -1, -2\/5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3*i = -0*i + 12, 4*a + 8 = -2*i. Suppose -5*b = -b - t + 24, -4*t + 16 = a. What is the units digit of b\/(-3 - (-6)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 + 5. Let q be -6 - -5 - 2*s. Solve -3*d - q = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - (-5*sqrt(200)*2)**2)*-4 + -2.\nAnswer: -40*sqrt(2) + 79998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**(4\/5))\/((c\/c**4)\/c)*(c**5)**(-22) assuming c is positive.\nAnswer: c**(-516\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0.073, -5 in decreasing order.\nAnswer: 0.3, 0.073, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 634*r - 605*r = 15 + 98 - 1012 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 4442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1026749 and 0.4.\nAnswer: 410699.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -163.3291964 rounded to 3 dps?\nAnswer: -163.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3595, 28896, 97927, 232666, 455091, 787180?\n\"Answer: 3663*b**3 - 113*b**2 - b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -330 + 31*o + 330 as x*o + q and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.09747 and 0.17?\nAnswer: 0.0165699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26429556.\nAnswer: 2, 3, 29, 173, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**3 + 5454*l**2 - 110223*l + 104766.\nAnswer: 3*(l - 19)*(l - 1)*(l + 1838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -1, -3 in descending order.\nAnswer: 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 62631 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 594439 divided by -61?\nAnswer: -594439\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -206*k - 570*k + 107*k.\nAnswer: -669*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 414 and 874.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m - 1. Let y(u) = 2*u**2 + 5*u + 4. Let k = 8 + -8. Suppose k*j + 4 = 4*j. Let b be 5 - -2 - 5\/(10\/2). Give b*d(c) + j*y(c).\nAnswer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 169542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 4*a - 1, -8*a = l - 11*a + 7. What is the remainder when 13 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k*k**(-8))*k**(-2\/17))**(-38)\/(((k\/k**(-1))\/k*k)**6\/((k\/(k\/(k**(-5\/2)*k)*k))\/k**(1\/4))) assuming k is positive.\nAnswer: k**(-23955\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-124)\/(-224) + 1\/(-8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (23 - 19)) + 9 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d + 13*d + x = 68, -181 = -5*d + 3*x. Solve d*y = -2*y - 148 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -26104\nAnswer: 7831.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 244 + 7912.18\nAnswer: 8156.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-38)\/285)\/(4\/(-6))*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence allm when four letters picked without replacement from {f: 2, l: 4, a: 3, j: 1, m: 1, k: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -34429 divided by -339\nAnswer: 34429\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4\/15 - 142*x**3 + 8456*x**2\/5 - 101216*x\/15 + 44928\/5.\nAnswer: 2*(x - 1053)*(x - 4)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - u = -26. Suppose -5*r + 2 = -u. Suppose 267 = r*k - 363. Round k to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25960\/(-275)*(-185)\/296?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11322*0.1\nAnswer: 1132.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h**5 - 65*h**4 - 140*h**3 + 160*h**2 + 640*h + 400 = 0 for h.\nAnswer: -10, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 83 + -81. Suppose g*f - 47 = -7. Suppose 16*z = 20*z - f. Solve 3*y - z*y = -10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.19 and 49602348.95.\nAnswer: 49602349.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2021*k**2 + 16156*k - 27. What is u(8)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -60*x**3 - 25*x - 15. Let u(y) = y**3 + y - 1. Let j(i) = -s(i) - 25*u(i). Find the first derivative of j(c) wrt c.\nAnswer: 105*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**3\/15 + 1402*r**2\/15 + 234076*r\/15 + 1689760\/3 = 0. What is r?\nAnswer: -472, -179, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 21547951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3179.449 milligrams in micrograms?\nAnswer: 3179449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 624017036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*q**3 - 179*q + 12*q**3 - 22*q - 15*q**3 - 33*q**5 wrt q.\nAnswer: -660*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 4*h + 2. Let l(f) = f. Let u(o) = -6*o - 1. Let r be u(-1). Suppose 3*b = 2 - 5. Determine b*j(q) + r*l(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 336, 319, 288, 243, 184, 111, 24?\n\"Answer: -7*i**2 + 4*i + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from viiiviciisvei. Give prob of sequence vs.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g - g + 17. Suppose -2*l = -4*p + 46, 2*l - g = -p - 2*p. Let -8*a**2 - 2*a + p*a + 2 - a = 0. Calculate a.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 30*l**2 - 50*l + 46. Let g be v(-27). Let r = g - -1165. What is r rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1254)\/42427)\/(28\/(-812))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*z + 346881 - 347168 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*j - 42 = -3*m, 3*j + 12 = 0. Calculate the remainder when 149 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 9. Suppose -f*v = -4*v + 20. What is the closest to 1\/4 in -1, 2\/9, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -q - 6. Suppose 5*m - 3*s - 28 = -6, -4*s = q*m + 10. Let x be 0*1*(m - 1). Which is greater: -4\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 16945.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2, 3, 6, 1, -18, -57, -122, -219?\n\"Answer: -w**3 + 5*w**2 - 3*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 36448\/3*z**2 - 17956\/3*z - 6344*z**3 + 0 - 4\/3*z**5 + 544\/3*z**4.\nAnswer: -4*z*(z - 67)**2*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 114 * -0.0066.\nAnswer: -0.7524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 - 7*u**2 + 2*u - 9. Let z be b(7). Solve 4*t + z*q = -22, -3*q + 4*q = -t - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15\/54 - 7\/14. Let i(o) = -2*o**2 + o. Let u be i(-1). Which is the second smallest value?  (a) r  (b) 2\/9  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 - 11*t + 15. Suppose -j - 55 = -5*q, -57 = -5*q - j - 12. Let i be p(q). Solve -13 = -i*a + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28673\/24 + -1198. Let y = 195\/2 + -1231\/12. What is the common denominator of y and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 12. Let k be (-5 - j) + (2 - -2). Solve 0 = k*i + 3*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -i - 1. Let u be (-2)\/(-3) + i\/(-3). Factor 3*j - 4*j + u*j + j**3 + 0*j**3.\nAnswer: j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - x = -9, -5*q + 5*x - 18 = -3. Let l = 11 + q. Suppose 0 = 2*c - l*c + 9. Solve -c*m = -1 - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -235857, -482291, -728715, -975123, -1221509?\n\"Answer: f**3 - f**2 - 246438*f + 10581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 23822544 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 9, -2, 0, -29 in increasing order.\nAnswer: -29, -2, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 12790 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13264*v - 13565?\nAnswer: -13264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(19) + sqrt(19) + -1 + sqrt(19) - sqrt(19)) + 5 + 3 + -3)**2.\nAnswer: 24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 186042924 to the power of 1\/2, to the nearest integer?\nAnswer: 13640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-11\/3)*d\/(d*d\/(d*d\/((d*d\/d**(-17))\/d*d)))*(d*d**(-1))\/((d\/(d**6\/d))\/d) assuming d is positive.\nAnswer: d**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7813 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: Four letters picked without replacement from dcdddcdd. Give prob of sequence dcdd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 606 = -2*p, 5*c - p - 742 - 12 = 0. Let r(o) = 3*o**3 + o. Let k be r(1). Let n = k + c. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 4*i**2 + i + 9. What is d(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 75 - 66. Let o be 33464\/t - (-4)\/(-18). List the prime factors of (o\/(-78))\/(0 - (-1)\/(-3)).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of -1\/20*n**5 + 5\/6*n**3 + n - n**2 + 1\/12*n**4 + 0. Let l be 5 - (5 + -4) - 1. Determine g(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(10\/9)\/y)\/(y**(-1\/4)\/y) assuming y is positive.\nAnswer: y**(49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -356775 - 0.0331?\nAnswer: -356775.0331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/8*(1320\/77)\/(-12))\/(-1).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009671301 rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -67*p**2 - 88. Let a(f) be the second derivative of -11*f**4\/6 - 29*f**2\/2 - 41*f. Let c(m) = 11*a(m) - 4*u(m). Differentiate c(n) with respect to n.\nAnswer: 52*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 730472, 3, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111 + 11110010000011110?\nAnswer: 11110010000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -77*d*i + 3452*d - 595442*i with respect to d.\nAnswer: -77*i + 3452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 31*y - 10*y + 29 - y + 25*y. Is d(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 75, 41, 9, -21, -49?\n\"Answer: r**2 - 37*r + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 4*v**3 + 50*v**2 + 19*v + 12. Let f(r) = 3*r**3 + 37*r**2 + 15*r + 9. Let l(c) = -11*f(c) + 8*m(c). What is l(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 v, and 2 i when four letters picked without replacement from {z: 7, v: 1, u: 2, i: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 14 + 15*8\/(-10). Solve d = -8*k + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6.9 - -13.9. Let z = j + -7.1. Is z less than -24\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -12*h - 3. Let q(w) = 25*w + 6. Let t(j) = -4*q(j) - 9*v(j). Calculate t(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 5*k + 36 = 0, -k = 4*u - 3 - 9. Is (-3)\/u + (-453)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 163, 329, 495, 661, 827?\n\"Answer: 166*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3308 + -630813499\nAnswer: -630810191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*d = -7*d + 19*d. Factor -4\/3*r**3 + 32\/3*r**2 + 0*r + d.\nAnswer: -4*r**2*(r - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 y, and 1 i when three letters picked without replacement from {i: 1, d: 5, q: 4, y: 8}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4357 by 4357.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i - 6. Let c be k(4). Suppose 2*w - 3478 = -2*v, 5*w - c*v + 5078 = 13745. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 670 is divided by 652?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {d: 3, b: 3, u: 7}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 17 - 9 - n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 22028389 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1443*b**2 - 814*b**2 + 595*b**2 + 2131*b**2.\nAnswer: 3355*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + -1. Let l be a\/24 - (-126)\/104. Let j = 6\/13 - l. What is the third biggest value in 1\/7, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -13501*a + 2*a**2 + 13501*a. Let n(b) = -79 - 81 + 160 - 50*b. Determine n(i(z)).\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 49 + 20. Let a = -1 + 4. Suppose -i = -5*b - a*t, -t + 5*t = 4. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102002098?\nAnswer: 2, 11, 4636459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w**3 - 31*w**2 + 381*w - 452. Give j(-24).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7968 - -45637. Let o(z) = -k*z + 5813*z + 8 + 0. Let c be o(-7). What is c rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 711.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -142.6 times -0.4?\nAnswer: 57.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 620.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4 - 5)\/((-6)\/30). Let n(g) be the second derivative of -1\/3*g**3 + 0 - 7\/12*g**4 + 2*g**2 - g. Let x(r) = -6*r**2 - 2*r + 3. Give j*x(c) - 4*n(c).\nAnswer: -2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*x = 26 - 36 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (8372\/312)\/((-63)\/(-54))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/36 and -149\/1782.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 17993 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4\/14)\/(4*(-13)\/182))\/(1\/(-71))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*r + 25*r + 111*r**2 - 12*r.\nAnswer: 111*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8.4 + 8. Let s = 1 + 0. Which is the closest to 1?  (a) z  (b) s  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -3*f + 7, 5*u + f - 2*f = -15. Let g = 2.1 - 2. Sort 0.5, u, g in increasing order.\nAnswer: u, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**2*t**2 - 35*c**2*t - 167*c**2 + 2*c + 5988*t**2 - 5 wrt c?\nAnswer: -2*t**2 - 70*t - 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -468 - -469. Let x(d) = 552*d - 10. What is the remainder when x(f) is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -59, -399, 13?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -121 - -252. What are the prime factors of m?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -398\/29?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20058 is divided by 97.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2. Let t(d) = 17*d**2. Give u(t(s)).\nAnswer: 289*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 344011.103 + -344233. Let s = -222 - z. What is s rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 9*a = 10. Let f(q) = q**3 - q**2 - q + 24. Let y be f(0). Let x be y\/9*(-3)\/a. Solve 3*c + 8 = k, 6*k - x*k - 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 76\/70323 and -13\/363.\nAnswer: 773553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**3\/17 - 256*j**2 + 26166*j\/17 - 39276\/17 = 0. Calculate j.\nAnswer: -2182, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0133 and 24.8.\nAnswer: -0.32984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8796)\/16 - (15\/12 + -1). Let k = -315 - i. Is 51 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 179 + -97. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssbsbbsbbssbbss.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2658\/(-204) - -4 - 1881\/(-209)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, w: 8}. Give prob of picking 2 w and 2 n.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20288 = -4*l + 4*p, -5*l - 8*p = -9*p - 25348. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7.26 * -0.3\nAnswer: 2.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 6*h = -20. Suppose 0 = h*g - 235 - 105. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -2. Is (-5703)\/m*6\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 938 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 57599.\nAnswer: 3\/57599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2893, 5766, 8639?\n\"Answer: 2873*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k - 7. Let o be h(-3). Let j = 0.2 + -0.4. Let b = 0.3 - j. Sort o, b, 0.3.\nAnswer: o, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -100*w**2 + 140*w + 15.\nAnswer: -5*(2*w - 3)*(10*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 3*c)*(-6838 + 2454 - 18788).\nAnswer: -69516*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4 + 3 - 5 - 2*w + 3*w. Let k(d) = -4. Let f(i) = -1. Let j(a) = -5*f(a) + k(a). Give 3*j(p) - r(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of 1103*p**9\/504 + p**5\/60 + 229*p**4\/12 - 7*p**2 + 9*p. What is the third derivative of r(l) wrt l?\nAnswer: 132360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + (-698)\/(-88) + -1. Let g = -50301\/11 + 4581. Let m = t - g. What is the closest to -1 in m, -3\/4, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -143 + 33?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 123057 and 9438?\nAnswer: 3199482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1044032 (base 5) in base 15?\nAnswer: -57cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3102 and 12342?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 120709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -3. Let h = -341 + 482. Let c = -707\/5 + h. Is c != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1314, -2634, -3954, -5274?\n\"Answer: -1320*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 21*g**2. Let a(v) = 21*v**2 - 56*v**2 + 16*v**2 + 20*v**2. Determine a(h(l)).\nAnswer: 441*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-353890)\/(-50) - (-1 - -11)) + 2\/10 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-417)\/(-2)*70\/(-21). Let t = -472 - n. Suppose t = 5*g - 262. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 14*m**2 + 7*m - 19. What is the units digit of l(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39921153?\nAnswer: 3, 13307051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -58*u + 57*u - 9 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 235*u - 237*u = 26, -6*x + 1 = -u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 698508 and 1047762?\nAnswer: 2095524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.8198096 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 518 and 28120.\nAnswer: 196840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 13 = 5*o, -2*z - 1 + 5 = 0. Suppose 2*j + 18 = -0*j. Let i = o - j. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 - 31 - (-2 - -1). Let x be 26\/10 - 10\/h. Suppose u = 3*w + 3, 0 = 4*u - 5*w + w - 4. Sort x, u, -3 in ascending order.\nAnswer: -3, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 + 13*j + 39. Suppose -3*d - 4 = b - 4*d, 20 = -4*d. Let p be x(b). Solve 6*q - 5*q + 1 = -2*k, -p*q = 5*k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.1343 to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -719.5 + 719. What is the third biggest value in 0, -3\/8, d, 45\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of n**7\/70 - 9*n**6\/4 + 81*n**5\/20 + 181*n**4\/2 - 534*n**3 + 3*n**2 + 1314*n. Determine g, given that r(g) = 0.\nAnswer: -3, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = 3*s - 15, 0 = 4*i - 11 - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32716943?\nAnswer: 7, 4673849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -10) + -7 + -10 - 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - l. Let m(g) = -4*g**2 - 3*g + 17. Let f(b) = m(b) - 3*v(b). Calculate the remainder when 31 is divided by f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4070171, -17, 1 in decreasing order.\nAnswer: 1, -17, -4070171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -1326*v + 1. Let c(z) = -3*z**2. Calculate c(j(s)).\nAnswer: -5274828*s**2 + 7956*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 305*b**4 + 23*b**5 - 305*b**4 + (0*b**4 + 5*b**4 - 2*b**4)*(2*b + b - 5*b).\nAnswer: 17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*h**4*x + 4675*h**4 + 7*h**3*x - 64*h**3 + 3*h**2*x + 43581858*h*x wrt h?\nAnswer: 72*h*x + 112200*h + 42*x - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*w + w - 40. Let l(y) = y + 6. Let f be l(w). Let u(c) be the first derivative of -3*c**2\/2 + 2. Give u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4 - -1)\/(3 + -4). Suppose p*s - 10 = l, 4*s - 2*l - 24 = 2*l. Let u be 5*6*(-1)\/10. Put -5, u, s in increasing order.\nAnswer: -5, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddccdqdcddddcd. Give prob of picking 3 d.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*g - 6*g + 4*g)*(0*g + 0*g + g) - 3 + 3 - 8*g**2 + (-2*g + g - g)*(-2 + g + 2) as h*g**2 + x + j*g and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g**3 + 24*g**2 + 5*g - 3. Let l be v(-6). Is 399 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 3037*f**3 - 3*f**2 + 9*f - 15. Let l(k) = 1518*k**3 - k**2 + 4*k - 6. What is 5*l(b) - 2*m(b)?\nAnswer: 1516*b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 169 = 2*w + 194, -4*w = 5*j + 35 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, -2\/23, -5\/4, 1, -40, 0.4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 11*j**3 - 3*j**2 - 12. Let l(p) = -5*p**3 + p**2 + 5. Let t(k) = 6*h(k) + 13*l(k). Let s(g) = g**3 - 3*g**2 - 4. Determine 5*s(d) - 3*t(d).\nAnswer: 2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29127 and 17556?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*p**4 + 0*p**4 + 2*p**4 + (2 + 4 - 3)*(0*p**4 + p**4 - 9*p**4) in the form w + m*p**3 + f*p**2 + i*p**4 + k*p and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -1. Suppose 0*v = -2*v + 6. Suppose v*a + n = 256. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1942 in 2\/3, 0.2, -1, 1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 + 9*s - 38. Let n(o) = 6*o - 37. What is 2*m(j) - 3*n(j)?\nAnswer: 2*j**2 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.01?  (a) 0.5  (b) 4  (c) 124  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 0, 0.3, 1\/7, -3, -12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1*-3)\/(-3 + 2). Solve -1 = 2*n - j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 897 + -795. Calculate the smallest common multiple of 102 and z.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*m = -2*m + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 334162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 4) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 180 = 4*s - 3*g, -s + 3*g = -29. Calculate the remainder when s is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -488*t - 267 + 242*t + 248*t as z + r*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/1)\/(-2*6\/(-60)). Calculate the highest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 224 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-8) + 18\/8 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2  (b) -18\/5  (c) 2\/673  (d) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of b**7\/2520 - b**6\/216 - b**5\/60 + 4*b**3\/3 - 2*b + 10. Let d(m) be the third derivative of s(m). Let d(t) = 0. What is t?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h + 1. Calculate o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 7:33 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + g**2 - 7*g. Is q(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gpgkpvgppggppgpp. What is prob of sequence vg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**3 - 135*r - 270.\nAnswer: 5*(r - 6)*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -910 = -5034*k + 4943*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/(-49) + 4\/(-35).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4363975 divided by -385\nAnswer: 11335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-196)\/(-3675)*-125)\/(((-4)\/6)\/(-2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -5\/6*b**3 + 1\/12*b**4 - b**2 + 0 + b. Suppose a + 1 = 3*h + 3, -4*a + 25 = 5*h. Give z(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/12*(0 - -3). Suppose -u + 32 - j = 0. Let r be u\/(-4*(-3)\/12). What is the greatest common factor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1279 - 1280 + 2559 - 27*q**2 + 37*q**2 - 8*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h**2. Let r be 0\/(94\/30 - (8 - 472\/60)). Let z(c) be the second derivative of r*c**2 + 7\/6*c**3 - c + 0. Give s(z(g)).\nAnswer: -98*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/9 + 576514874*j**2\/9 + 41546174704647046*j\/9 - 41546175281161922\/9.\nAnswer: 2*(j - 1)*(j + 144128719)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2164744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 10, t: 7, f: 1}. Give prob of picking 1 f, 2 d, and 1 t.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d. Let n(x) = x**2 + x - 1. Let c(b) be the first derivative of 3*b**2 - 6*b + 1. Let a(l) = c(l) - 6*n(l). Give m(a(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 - 3*u + 6. Let w be r(-4). Suppose w = -k + 4. Suppose 0 = -k*d - 2*d. Solve 2*h = -3*y - 2, d = 6*y - 2*y - 2*h + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 - 0.6. Which is the nearest to -1?  (a) 5  (b) -11  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -10*p**2 - 92*p + 220. Calculate v(-13).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0388?  (a) 1\/8  (b) 2  (c) 0.3  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -q**7\/14 - q**6\/5 + 27*q**5\/20 + q**4\/2 - 4*q**3 - 54*q. Find n such that s(n) = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 5*a + 9 = -a, a = 3*j - 40. Let h = j - 7. Calculate the smallest common multiple of 3 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-27070)\/20)\/((-1)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-21640)\/(-60) - (-1)\/3. Suppose -5*n - 14 + 429 = -x, 4*n + 5*x = s. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(450)\/sqrt(10) - (1 + -2*sqrt(5))**2.\nAnswer: -21 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 19 - 47 = -4*j, 0 = -3*j - 3*h + 18. Solve 0 = y + j*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -312265895 divided by -335\nAnswer: 932137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 591588 and 1577568.\nAnswer: 4732704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 12:09 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 5336374 to the nearest 1000.\nAnswer: 5336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03*51.9.\nAnswer: 1.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1154537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**3 - 12*k**2 + 11*k + 7. Let v be z(5). Solve -5*q - 20 = 3*p + 12, 0 = -3*p - v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 50\/(-54)*40128\/(-267520)?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8406535, 8406512, 8406489, 8406466?\nAnswer: 8406443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from ggigiiiiiii?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 7*p**2. Let n(s) = -2304*s - 2. What is g(n(t))?\nAnswer: 37158912*t**2 + 64512*t + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1085021 is divided by 9877?\nAnswer: 8428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, 0.09, 2\/3, 1\/4 in decreasing order.\nAnswer: 3, 1, 2\/3, 1\/4, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000003655350616 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 28*b - 34*b - 41*b - 17*b as j*b + o and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4.317993us?\nAnswer: 0.000004317993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.786 + 7227468?\nAnswer: 7227467.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eqhqsdhhhhqhdhqqehe. What is prob of sequence hssq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2321, -4596, -6871, -9146, -11421, -13696?\nAnswer: -15971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 131, -313, 2, -3, 42 in increasing order.\nAnswer: -313, -3, 2, 42, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1348609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2310 (base 5) to base 4\nAnswer: 11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21676034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*k + 12. Let x be (8\/6)\/((70\/147)\/(-5)). Let c = x + k. What is the smallest common multiple of 16 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/22)*i*i*i*i)**(-2\/27)*((((i*i**(-2\/51))\/i*i)\/i)\/i)\/(i\/(i*i**(2\/63))*i*i) assuming i is positive.\nAnswer: i**(-116884\/35343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 5:26 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaodwooobwdomao. Give prob of picking 2 a and 1 w.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (68 - 63 - (-1 - 0))) + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 7*h = 4. List the prime factors of (-1)\/(h + (-21)\/18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (2 + (-11)\/1). Find the first derivative of -t + 2*t + 0 + t + a wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-13)*t*t**(-2\/35)*(t**(-2))**19 assuming t is positive.\nAnswer: t**(-1752\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5746 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*j - 4*j + 14 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {n: 1, t: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2302712928.\nAnswer: 2, 3, 2665177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.4 >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 at most -1086511736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - 25 - (2 + -15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118843355.\nAnswer: 5, 2887, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + sqrt(475) + 0)*-5 - (6*(sqrt(475) + -1 + sqrt(475)))**2.\nAnswer: -68436 + 670*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-3))**(-3\/25)*(y\/y**(-5\/4))\/(y**11\/y*y) assuming y is positive.\nAnswer: y**(-923\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -210 = -2*x - 6. Let o = 10 + x. Let q = 161 - o. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 6*g - 6*g)*(-55616*g + 2 + 55923*g + 3).\nAnswer: -3070*g**2 - 50*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 376*s - 46*s + 4981 = -959 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 186285792.\nAnswer: 2, 3, 7, 11, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**2. Let x(u) = -1. Let v(t) = -t + 1. Let w(i) = 2*v(i) + 2*x(i). Give w(h(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -80a (base 15) in base 3?\nAnswer: -2111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4*h + 15 = 0, 3*x - h - 10 = 10. Let o(g) = 37*g - 5. Does 20 divide o(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.4  (b) -2  (c) 2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)*4 + sqrt(76))\/sqrt(4) + sqrt(19) + 2.\nAnswer: 2 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/15 - (39\/(-36) - -2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(117)\/((1*sqrt(108))\/sqrt(12)) - 6*(sqrt(1872) - (sqrt(1872) + (1 + sqrt(1872) + 1 - sqrt(1872)))))**2*1.\nAnswer: 20*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2485271 years in millennia?\nAnswer: 0.0002485271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 26 + -4415?\nAnswer: -4356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 229 - 233. Which is smaller: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -3*y + 12. Let r be j(3). Calculate the remainder when -8*3\/(-1) + (-2 - -1) is divided by (-3*40\/45)\/((-1)\/r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -260*h + 5823. What is the ten thousands digit of i(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 200 divide 398789555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 43512601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2269930?\nAnswer: 2, 5, 13, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 1\/4  (b) 2\/15  (c) 1\/1374  (d) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from kknnnhnkkck.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -269883720*q**4 - 653896114*q?\nAnswer: -3238604640*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s - 5. Let v(r) = -3*r - 19393. Calculate c(v(m)).\nAnswer: 3*m + 19388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 87231 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6510189.\nAnswer: 3, 7, 67, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09 times 4132.4?\nAnswer: 371.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*o**2 + 7*o**2 - 40 + 10*o - 91 - 6*o**2 - 158*o**3 - 3*o**2 wrt o?\nAnswer: -948*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -159 + 284. Calculate the remainder when f is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 8*k**3 - 22*k**2 - 145*k + 209. Is c(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -519, -958, -1343, -1674, -1951?\nAnswer: -2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*x - 13*x - 7739 = -16*u - 7751, 3*u - 3*x + 15 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 1 + 0)*(47*t + 6 - 21*t - 25*t) as z*t + u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 33197, 33185, 33173?\n\"Answer: -12*h + 33209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 4*d - 12 = -5*g, -4 = g + 2*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6160 and 9240?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -2174.2536 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.0815, -2, 1, 7, 23, 38, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2918 and 4207756?\nAnswer: 4207756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*f - 9. Let v = 7 - -6. Let k = v + -7. Solve f = -2*a + 4*a + q, 2*q - k = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -79113190 - -251313190. Suppose 0 = 3*c - 2*j - k, 254098072 - 81898072 = 3*c - 3*j. Round c to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 - -14. Suppose -2*d + z - 13 = 0, -15 = 5*d - j*z + z. Is (2\/6*-4102)\/(d\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -9*q - 8. Let a(c) = 16*c + 18. Determine 4*a(h) + 7*k(h).\nAnswer: h + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in -10, -1, 0, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 289 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -0.5, 6\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, k: 9, s: 2, z: 2}. Give prob of picking 2 k.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -35867575\/3 at least -11955859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -47 + 17. Suppose 4*r = 17 + u. Calculate the least common multiple of (-3685)\/(-469) - 4\/(-28) and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 68 - 64. Which is the nearest to 1?  (a) y  (b) 0.3  (c) 2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 139\/5 - 28. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35 - 28*t**2 + 4*t**2 - 35 to the form q + m*t**2 + l*t and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 324*t**2 - 13*t**2 + 205*t**2.\nAnswer: 516*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226*y**4 + 60106 - 120148 - 1373*y + 385*y - 182*y**2 + 671*y**3 + 60322 - 7*y**5 = 0 for y.\nAnswer: -2, 2\/7, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9927580, 9927579, 9927578?\n\"Answer: -j + 9927581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of -p**4\/12 + 2*p**3 + 2*p**2 - 2*p. Calculate the remainder when f(11) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18189 at most -1109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 + 13*t + 14. Let s be y(-12). Let j(h) be the second derivative of -h + 0 + 1\/20*h**5 - 5\/6*h**3 + 1\/2*h**s - 1\/3*h**4. Determine j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/10 and 2 - -2 - (-1)\/(-16)*-18?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2012, 5220, 8424, 11624, 14820, 18012, 21200?\nAnswer: 24384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/315  (b) -1\/5  (c) -91  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4 + 1 = a, 4*s - 15 = -a. Suppose -4*h = 4, -k + s*k = -h + 3. Solve -k*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, l: 8}. What is prob of sequence lll?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 60921698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -8851898.224 to the nearest one hundred thousand.\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.5, 0.8, -4 in ascending order.\nAnswer: -4, -1.5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**2 + 27*p - 9. Let w be j(-15). Suppose 3*x = -0*x - w. Is 256 - x\/4*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6982660 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 16315*g - 766792. Determine r(47).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.2 - 0.2. Let q = -12845.11 - -12953. Let c = -108 + q. What is the nearest to 1 in c, l, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*c - 13*c + 338 - 2*c**2 + 16*c - 338.\nAnswer: -2*c**2 + 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 69*a - 72*a + 9706, 0 = 4*a + 4*b - 12944. List the prime factors of a.\nAnswer: 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -156040*u + 1872527. Give m(12).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -2*r**3 - 3*r**2 + 3*r. Suppose 5*v + 17 = 2*u - 13, 3*v + 37 = 5*u. Let m(i) = -3*i**3 - 4*i**2 + 4*i + 1. Calculate v*w(c) + 3*m(c).\nAnswer: -c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4494.56 weeks in nanoseconds?\nAnswer: 2718309888000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 281.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -13 - 4*k + 3 + 8*k. What are the prime factors of r(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -12*r**2. Let t(s) = -217*s. Give z(t(i)).\nAnswer: -565068*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 + (-45624)\/1200)\/(6 - 7).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000263 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 56190\/150 + (-4)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.033 + 4.867. Let l = x - 4.9. Let a be 7\/2 + -3 - 19\/46. What is the smallest value in 0.4, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 + -22. Suppose 5*l + 6 - 16 = m. Suppose 5*r**2 + l*r - 370 - 2*r**3 + 366 - r**2 = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40432, -40433, -40436, -40441, -40448?\nAnswer: -40457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 5*x = -10, -163*a + 159*a = -5*x - 5. Sort 5, -2, 6, -3, a.\nAnswer: a, -3, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 587832 is divided by 1046.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4010, 7980, 11972, 15986?\nAnswer: 20022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 4  (c) 1  (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 399*o + 2204 = 283*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lifliiflfillfl. What is prob of picking 1 f and 3 i?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*u**2 + 2*u + 166*u**3 - 6 + 35*u**2 + 3*u**2 to r*u + t*u**2 + d*u**3 + n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 10:26 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -17 at least 10.963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 3*x. Let d(h) = -h. Let p(s) = -4*d(s) + w(s). Factor p(q).\nAnswer: -q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 388174 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 296 and 1328004.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 38 = -706. Calculate the remainder when 120 is divided by a.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 + 10 - l - 2*l**3 - l as w*l**3 + i*l + h + c*l**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(-3) + (-2)\/3. Suppose 18 - 8 = o*l. Let q(w) = -w**3 - w**2 + w + 6. Let b be q(0). Solve 3*s - l*z = 19, z - b = -4*s + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 e, and 1 m when three letters picked without replacement from mqaedqecaeeem.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9313645 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175 = -2*h - 3*h. Calculate the common denominator of -91\/2 and h\/16 + 7 + -5.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 37181835*f**2 + 83171418*f wrt f.\nAnswer: 74363670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57.82669ml to litres.\nAnswer: 0.05782669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9.4 + 9.4. Let k be ((-2508)\/24)\/11 - -8. Which is the biggest value?  (a) m  (b) k  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 3*m + 3. Let h = -7.9 - -0.9. Let g = h - -7. Sort 0.2, m, g in ascending order.\nAnswer: m, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 bigger than -205\/308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130*l = l - 2967 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1073596 and 71586.\nAnswer: 396156924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 106083653 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*h - h**2 + 6 + 11*h)*(-7*h**2 + 5*h**2 - 6*h**2) to the form y + r*h**2 + x*h**4 + p*h + f*h**3 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 3970, -2\/13, 1\/2, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {d: 3, s: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 146075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -39*o**2 + 174*o + 13607 with respect to o.\nAnswer: -78*o + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 6562 = 4*k - 56290, -4*z = 5*k - 62097. What are the prime factors of k?\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/14 in 8, 5, 67\/5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (0 - -4) + -4 + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2032754*v**2 + 5*v - 26. Let m be k(2). Round m to the nearest 100000.\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c + 12*c - c + (-4 + 3 + 3)*(-3 - 27*c + 5 + 60*c) to the form r*c + t and give r.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -3*s**3 - 2*s**2 + 2. Let w(a) = -4 + 407*a**2 - 1 - 402*a**2 + a + 5*a**3. Calculate -2*w(x) - 5*y(x).\nAnswer: 5*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-4 + (-3 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**2 - 318 + 634 - 3*y**4 - y**2 + 3*y**3 - 317 as k + p*y**3 + z*y + w*y**2 + x*y**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tjmmutmptrp. What is prob of sequence pr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 5*m + 9*m = -7, -14 = 4*g + 5*m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 263870*b**4 + 108026*b**2.\nAnswer: 6332880*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 54 - 48. Suppose u*a = 5*a + 112. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2115 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 8*g - 14 = 3*g, 2*g = -p + 11. Let j(x) = -1 - p*x**2 + 0*x**3 + 6*x**2 - x**3. What is j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*g**3 - 3656*g**2 + 7318*g - 3660 = 0. What is g?\nAnswer: -1830, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 3*h. Let w be i(-3). Suppose 1 = 4*o - m, w = o + 3*o + 2*m + 2. Factor 2\/3*f**4 + o + 0*f**3 - 2\/3*f**2 + 0*f.\nAnswer: 2*f**2*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2442 (base 13) to base 5\nAnswer: -130444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 5*u + 2*u - 6*u - 11*u + 5*u. Let l(i) = 0 + 0 - 2*i. Calculate l(v(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**2. Let d(b) = 5*b**2 + 6*b + 11. Let f(j) = -d(j) - 2*n(j). Let p be f(-4). Sort p, 5, -1 in descending order.\nAnswer: 5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 301001021321310 + -11?\nAnswer: 301001021321233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 5*s + 188. Give y(-19).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/9 - 140\/(-588)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(17) + (2 + sqrt(17))*2) + (2 + sqrt(17) + -1 - sqrt(119)\/sqrt(175)).\nAnswer: 25 + 94*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -32 - 2 - s**3 + 11 + 8*s**2 + 12*s + 8. List the prime factors of m(7).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from piptqtkpopto. Give prob of picking 1 o, 1 i, and 1 k.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + -3 - (4 + -2)) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 118, 332, 634, 1012, 1454, 1948, 2482, 3044?\nAnswer: 3622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + 8*l - 7. Let n be c(2). Suppose 183 = n*u + 898. Let w = u - -55. Solve 5*s + 25 = -w*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -379*n + 65940. Calculate v(174).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -117 divided by -38158\nAnswer: 117\/38158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4887 - 37?\nAnswer: -5035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + a310091?\nAnswer: a310090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + (38 - -21) + -9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ne when two letters picked without replacement from mmjnnejpejnnjn?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**4*x**(-2\/5))**(-1\/37)*(x**(-2\/3)*x\/(x*x**(-3)))**5 assuming x is positive.\nAnswer: x**(6421\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3515740 rounded to the nearest 10000?\nAnswer: 3520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + (-3 + 7)*1. Sort b, -0.3, 5 in increasing order.\nAnswer: -0.3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 - 8*i. Let q be r(6). Let l be q\/30 - 86\/10. Let m(f) = -5*f**2 - 4*f + 4. Let a(o) = o**2 + o - 1. Calculate l*a(p) - 2*m(p).\nAnswer: p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*d - 6*d**2 - 123*d + 0*d**2 - 6*d**2 - 4.\nAnswer: -12*d**2 - 184*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand m + 4*m - 3*m + (-17 + 17 - 7*m)*(0 + 2 + 0) + m - 3*m + 0*m - 2*m - m + m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**2*g - 3*d**2*h + 22*d*g*h**2 + d*g*h - 49*g - 7*h**2 + 13*h - 2 wrt g?\nAnswer: 2*d**2 + 22*d*h**2 + d*h - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 - 4*o**2 + 5*o + 2. Let n be d(-5). Suppose -n = 4*y - 34. What is the greatest common divisor of y and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 125.1 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*-3*3\/36. Which is the biggest value?  (a) r  (b) -2\/7  (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.949 - -0.051. What is the fourth biggest value in -3\/2, w, 2, 0.4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*(-140)\/480)\/(1 + 33\/(-36))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -276?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 12:53 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9267 (base 12) to base 13.\nAnswer: -7327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) 263  (b) 1720  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of k*p**3 + k*p - k*y**2 + 45*p**3*y**3 + 50*p**3 - 2*p*y**3 + 5*y wrt y.\nAnswer: -2*k + 270*p**3*y - 12*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 294\/(-126) - (-32)\/6 - 570\/(-30).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/3006 and -67\/1503.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.369 - -0.45. What is y rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 7*u**3 - 3*u**2\/2 - 34*u + 207. What is the units digit of i(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 174738, 349524, 524348, 699216, 874134, 1049108, 1224144?\n\"Answer: x**3 + 13*x**2 + 174740*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/5)\/((r\/(r**(-1)*r))\/r) assuming r is positive.\nAnswer: r**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 452003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 149 - 93. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5728477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2191920 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (36\/(-15))\/((-40)\/(-100))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/1160 and -145\/48.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 77*j + 346. List the prime factors of r(49).\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2. Let k(t) = t**3 - 9*t**2 - 4*t + 20. Let u be k(-5). Let a = u - -307. Let b(l) = -6*l**2. Determine a*b(j) + 16*m(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1521549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/2 or 12280?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.02 - 0.08. Let k be 16\/160 - (-1)\/2. Which is the second smallest value?  (a) k  (b) -1  (c) 5  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4488\/(-15) + (4\/(-5) - -1). Let l = a - -445. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 13*m + 391 = 0. Suppose 132 = v + 3*s, -m*v + 236 = -21*v - s. What is the lowest common multiple of 8 and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.3  (b) -0.0471  (c) 1  (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*z - 2*z + 4*a, 5*a = -4*z + 10. Suppose -2*j = 3*p + 41399985, -3*j + z*j - 62100015 = -3*p. Round j to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -26 - 13178?\nAnswer: -1319e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 692*b**3 + 8*b**2 + 74*b - 485. Is c(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 20 = -4*c, 2527*c - 2523*c = -j - 26 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-6)\/s*(s*s**(3\/4))\/s*s**(-5)\/s*s*s*s*s\/((s\/s**2)\/s*s)*s)\/(s**3*s\/s**(1\/3)*s)**48 assuming s is positive.\nAnswer: s**(-921\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -13*y**2 - 4. Suppose -t = -4 + 11. Let f = -5 - t. Let j(c) be the first derivative of c**3 + c - 9. Calculate f*h(n) + 9*j(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.6 in -3, 0.483, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 943367573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 7055.\nAnswer: -1\/7055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(85)\/(sqrt(25)\/sqrt(5)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 283792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -265?\nAnswer: -4\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1450 and 124288055.\nAnswer: 1242880550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 h and 1 o when four letters picked without replacement from ohhshhhsssshohhh.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 8*d + 5*g, -171 + 155 = 4*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 222 and 36?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 2*f - 12. Suppose f*r - 5*u = 16, -4*r - u + 20 = r. Suppose 4*x + 4 = -x - n, -3*x - r = n. Which is greater: x or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 1:26 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-3 + -3) - 12) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 20 - 4 - 69 - 2*d**2 - 1 + 1 + 2*d**2 + 3*d**2 - 3*d**2 + 6*d**2 + (6*d - 2*d - 5*d)*(d + 5 - 5) - d + d + d**2 in the form j + r*d + v*d**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 + 4*z - 8. Let n be q(-6). Suppose 1184 = -27*v + 43*v. Is v + n*(5 - 6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6547, -12803, -19047, -25273, -31475?\nAnswer: -37647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0108241 to 5 dps.\nAnswer: -0.01082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from phsuuduuu. What is prob of sequence uu?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0053597 to five dps.\nAnswer: -0.00536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 95 + 0 = 0. Calculate the remainder when b is divided by (-2)\/(-18)*3 + (-17)\/(-459)*369.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4814760238?\nAnswer: 2, 2407380119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -156 or -1?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 5*t = 2*t + 3, 3*t - 1 = 4*h. Let p be (405\/(-10))\/(-9) - h\/(-4). Suppose 5 = -p*u - 0. What is the nearest to 1\/2 in -0.3, 5, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {y: 2, l: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lllv when four letters picked without replacement from vllvlvvvllvvlvlvll.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -5078000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - 17)*(0 - (-2)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -10*l**3 + 359*l**2 + 49*l - 291. List the prime factors of t(30).\nAnswer: 3, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 136 or -50\/13?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -35324 divided by 52\nAnswer: -8831\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.02 and -2985382.\nAnswer: 59707.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lqqlqlq. Give prob of sequence qqqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -n**3 - 7*n - 54 wrt n.\nAnswer: -3*n**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.5665 + 3?\nAnswer: 0.4335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.08 in -0.3, 2\/9, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + (13 - 5) + -9 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -80 - -99. Let j = 56 - x. What is the third derivative of -38*w + 38*w + 3*w**2 + j*w**3 - 25*w**2 wrt w?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-3) - 20\/(-6). Let y = 51 - 48. Suppose 3*c - 5*m = 68, y*c - t*c = 5*m + 4. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-12) + (-77)\/(-140)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/2*11\/(-22). Suppose -2*j + 0 = 10, u = 5*n - 4*j - 35. Solve 0 = -3*w - 0 - n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*r = 158*r - 62*r + 341 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*k - 105 + 859. Let h = 62 - k. What is the third derivative of -42*f**2 + 19*f**h + 7*f**4 + 13*f**2 wrt f?\nAnswer: 624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2. Let d(w) be the first derivative of 86*w**3 - 1858. Give s(d(a)).\nAnswer: -66564*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**3 + 4*l**3 - 4*l**3 + (-l**3 + 0*l**3 + 2*l**3)*(8 - 2 + 9).\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -204 + 5*s**3 + 7*s**2 + 421 + 4*s - s - 13*s**3 - 211 in the form u*s**2 + v*s + f*s**3 + m and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 2*f = 10, 0 = -b - 5*f + 3*f - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4170\/1587047 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 6 = b. Let h be (-4)\/b + 3576\/18. What is the highest common factor of h and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 + 9*m - 8. Let b = -6 + 14. Let q be f(b). Is 1\/3 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.8 in 0, 1, 14, 3\/23, -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-21)\/(-6) + 3\/2. Let z(m) = m**3 - 4*m**2 - 2*m - 3. What is the smallest common multiple of 18 and z(k)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -24*b + 412. Suppose b*j + 9 + 25 = 0. What is the smallest value in 2, j, 3, -4.7?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, -870 in ascending order.\nAnswer: -870, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 10, 48, 4, -18\/5, -8.\nAnswer: -8, -18\/5, 4, 10, 18, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10052*d**3 + 671*d**2.\nAnswer: -60312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9150, -18303, -27456, -36609, -45762?\nAnswer: -54915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 4*p + 295*p**2 - 291*p**2 + 2 + 3. Let c(l) = -4*l**2 - 5*l - 6. Calculate -3*c(h) - 4*n(h).\nAnswer: -4*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from mmdmmmmdmdmmmmmdmm.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*k**3 + 23*k**3 + 8*k**3 + (-4*k**2 + 4*k**2 - 2*k**2)*(2*k + 2*k - 6*k + (0*k - k - k)*(1 - 5 + 2))*(-2 + 0 - 1).\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 417771?\nAnswer: 3, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o\/o**18)\/o)\/o)\/(o*(o*o*o\/(o*o**18\/o*o))\/o*o))\/((o**(-36)*o)\/(o**(-29)\/o)) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -1157\/4408 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3*p. Let c(w) = 8*w. Let v(g) = 8*a(g) + 2*c(g). Let y(r) = -2*r. Calculate v(y(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of f**4\/24 - f**3\/3 - f**2 + 12*f. Let h(x) be the first derivative of o(x). Suppose 4*g = 22 - 6. Calculate h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tyy when three letters picked without replacement from btytjsn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -20, -1\/5, 19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i + 5. Let q be ((-1)\/(-3))\/((-1)\/(-9)). Suppose -q*z + z = -6. Suppose -12 = 3*t + z. Determine n(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ghgh when four letters picked without replacement from {h: 2, g: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1891 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (92\/(-6))\/((-16)\/(-6) - (18 + -16))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000095715 rounded to 6 decimal places?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -3*y**2 - 3126. Let u(m) = 2*m. Calculate u(h(d)).\nAnswer: -6*d**2 - 6252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 17568208, 17568211, 17568214?\n\"Answer: 3*f + 17568205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 85, 107, 137, 181, 245, 335, 457, 617?\n\"Answer: m**3 - 2*m**2 + 21*m + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-357)*-6*-1*5*(-4872)\/(-10440)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 - 91. Let q = x + 44.43. What is q rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 2:59 AM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 16*d - 173. Let w be l(11). Suppose -3*f = 2*m - 134, w*m + 48 - 33 = 0. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90893 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 PM and 9:10 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 15. Suppose 0 = 5*u + 2*f - 568, 0 = 3*u - f + l*f - 341. What is the remainder when u is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -55\/2653  (b) 0.3  (c) 1  (d) -1  (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 5 = -4*f, 3*u - 2 = 4*f + 1. Suppose f = -0*j + j. Is 17 a factor of 66\/(-4)*(j + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000001110011010011000 (base 2) to base 11.\nAnswer: -1242a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3620 + 3622. Let i be (8\/(-6))\/((-11)\/(-3)). What is the smallest value in i, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 595090909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(-3))\/g)\/g**(1\/10))\/(g**(2\/3))**(-1\/50) assuming g is positive.\nAnswer: g**(-463\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1606553 * 29.\nAnswer: -46590037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 20 - (-12 + (14 - 87) + 18 - -9)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = -5*x + 2*u, 9*x + 2*u + 522958 - 522986 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the second derivative of -5\/2*p**2 - 2\/3*p**3 + 0 + p. Let x(b) = -1 + 9*b + 15 + 2*b. Calculate 8*a(i) + 3*x(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81856569 is divided by 141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - 11*s**2 + 2*s - 19. Let h be g(11). Let c = 0 + 5. Let y be 7*(0 + (-6)\/(-21)). Solve y*f = c*f + h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*l**2)*(2*l**2 - 4 + 4) + 2*l**2 + 2*l**4 - 2*l**2 - 7*l**3 - 122*l**4 + 7*l**3 + (-2*l**4 + 3*l - 3*l)*(-1 - 1 + 1).\nAnswer: -122*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3751 times 3520?\nAnswer: -13203520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**4\/l)\/l*l)\/l*l*l*l**(-10)*l*(l*l**1)**(1\/11) assuming l is positive.\nAnswer: l**(-53\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1416\/(-3068)*2*(-7)\/3 - (-61 - -63)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u + 1. Let z = 1 + 0. Let l(d) = -d + z + 4*d + 0 - d. Let i = 72 + -73. Give i*l(w) + 4*r(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4656\/(-198)*(0 + -12). Let v = -282 + z. Which is the closest to 0?  (a) -4  (b) v  (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -15. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {c: 6, z: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5124*h + 5122*h + 475 = 10286*h - 605 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -5  (c) 1.5  (d) -37  (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus -755?\nAnswer: 754.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 4*i**2 + 7*i - 2. Calculate the remainder when 76 is divided by q(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 - 10*c**2 + 1. Let l be u(-10). What is the common denominator of -67\/33 and (0 + -1 - l) + (-1690)\/(-120)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-3)*0)\/(-1). Suppose 0 = 3*b - n*b - 108. What is the remainder when -5 + (-1 - -2) + (-2175)\/(-15) is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -285 (base 11) in base 4?\nAnswer: -11033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4*-2318\nAnswer: -9272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (20\/15)\/((-2)\/(-123)). Suppose -2*u = 3*w - 6*w - 80, -3*u + l = 5*w. Let i = u - 21. Calculate the remainder when 23 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 5 + -11 + (0 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -457, -917, -1389, -1879, -2393, -2937, -3517?\n\"Answer: -j**3 - 453*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -7*i. Let a(v) = 2906*v**2 - 14*v. What is a(l(t))?\nAnswer: 142394*t**2 + 98*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 5:51 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) 0.51  (c) -2\/7  (d) -2\/3  (e) 5  (f) 1008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3 - 60*p**2 + 111*p - 54.\nAnswer: 3*(p - 18)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1666*b + 3834 + 275 = 1817*b - 3139 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 946 a factor of 37871984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 8:25 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-24)*(-36)\/(-3)*17*(-189)\/(-1377)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 2*k + 130 - 61.\nAnswer: -2*k + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1907065.\nAnswer: 5, 381413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from htttttthhththt. Give prob of picking 1 h and 2 t.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) -1\/10  (c) 0  (d) 13  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(1100) + sqrt(1100)*-2 + 4 - sqrt(1100))**2 - -1*(sqrt(1584) + (sqrt(1584) - (-3*sqrt(1584) + sqrt(1584) + sqrt(1584))**2) - sqrt(1584))).\nAnswer: -14160 + 740*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -3  (c) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -21614*-0.11\nAnswer: 2377.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 25 - 25 - 2*v**2. Let d(a) = -11*a. Give d(q(r)).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + d + 2559 = -0*d, 3*d = 4*m - 5115. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28 - 47) + 85 + (0 - (11 + -17))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(960) + 1*sqrt(960)*-2)*5)\/(4*2*2*sqrt(432)).\nAnswer: -5*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 597, 1178, 1751, 2316, 2873?\n\"Answer: -4*j**2 + 593*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*g**3*h**3 - 1563*g**3*h**2 - 957*g**3*h - 225*g**3 - 2*g**2*h + 1236*h**3 + 7*h wrt h?\nAnswer: 18*g**3*h - 3126*g**3 + 7416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 + 8*c - 16. Determine z(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.052 - -233.4.\nAnswer: 233.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21542 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*o + 25 + 35. Let t(a) be the first derivative of -9 + 0*a**2 + 0*a**3 + a + 1\/4*a**o. What is the derivative of t(y) wrt y?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-521825)\/(-90)*(-2)\/(-1140). Let b = z - 4993349\/228. Let r = -21893 - b. Calculate the common denominator of -40\/27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 102 = -10*r + 9*r, 0 = -4*r - 4*b + 456. Solve 24*p - 22 = -r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.63 - 1.37. Which is the closest to 0.1?  (a) -0.4  (b) f  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3592974 and 363?\nAnswer: 3592974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dwn when three letters picked without replacement from {d: 1, h: 2, w: 9, f: 2, n: 3}?\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*b = -4*g + 73*b + 1181120, -5*g = -4*b - 1476397. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 0 - (4 + -1 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1021 - 1023 - 1014 + 4079 - c - 1021.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -12*r - 2. Calculate f(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 142239 divided by 190\nAnswer: 142239\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 32 = 3*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -1\/14  (c) 3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -925, -1286, -1905, -2794, -3965, -5430, -7201, -9290?\n\"Answer: -2*c**3 - 117*c**2 + 4*c - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -14 divided by -156\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*n - 5*n - n + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of 0*p**4 + 0 - 1\/15*p**5 + 1\/120*p**6 + 0*p - 2\/3*p**3 - 8*p**2. Let v be w(4). Sort -2, v, 3 in decreasing order.\nAnswer: 3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -61\/10 in 1\/6, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 take away 7?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 697455593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -253, -509, -765, -1021, -1277, -1533?\nAnswer: -1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 23*g + 1. What is n(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 3*m - 52, 39 = 4*m - 5*g - 29. Suppose m*f + 5 = 17. Calculate the greatest common divisor of f and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/23, -93, -0.034 in decreasing order.\nAnswer: -0.034, -6\/23, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.274*0.4.\nAnswer: -0.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 21670 divided by 4\nAnswer: 10835\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 1.5. Let r = i - 0.2. Let y = r - 0.3. Which is the closest to y?  (a) 2\/9  (b) -2  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -2*x**5\/17 - 3290*x**4\/17 + 47682*x**3\/17 + 2048770*x**2\/17 + 13610800*x\/17 + 11613000\/17 = 0.\nAnswer: -1659, -10, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 427 divided by -7.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 3*p - 3 = 0, 0*p - 4*p = 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -30?  (a) -2\/3  (b) -0.1  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*o + 8988 = 28*o. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1284\/4387)\/((-4)\/(-328)*4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 12349, 21, -936 in increasing order.\nAnswer: -936, 1, 21, 12349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -273 + 1237?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a - 2. Let i(m) = m - 3. Let z(j) = 2*i(j) - 3*s(j). Let g(x) be the second derivative of 0*x**3 + 0 + 1\/3*x**4 - 2*x + 0*x**2. What is z(g(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/((-1 - -5)*45\/(-660)). Let l(j) = -j**2 + 12*j - 12. Let x(m) = 2*m**2 - 23*m + 23. Let n(k) = r*l(k) + 6*x(k). Calculate n(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2 + (-18)\/12 - (-253)\/198 and -43\/1140.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - l = 16, c - 2*l - 152 = -82 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -175955, 3 in descending order.\nAnswer: 3, 1\/5, -175955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**0\/l)**(-14))**32 assuming l is positive.\nAnswer: l**448","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*t + t**2 + 10*t - 4*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5\/4, 3\/7, -2\/3, 6\/25, -0.4, 5\/14, -1\/4?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -569 - -171. Let f = m - -686. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-10)*x\/(x\/x**(-9)*x))\/(x**(-10)\/x*x*x**(-7)) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -j + 7336, -2*n + 4*j = 7*j - 3668. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 6*p**3 + 7*p**2 + 6*p + 1. Let d be g(-1). Calculate the remainder when 537 is divided by -20*d\/(-14)*21\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17.348 - 14.348. Put 2\/9, 2, j, -5 in decreasing order.\nAnswer: j, 2, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 8*o**2 - 7*o + 2. Let d(y) = y**2 + 5*y - 2. Let j be d(-6). Suppose -3*g - 13 + j = 0. Let x be (-7)\/g*(2 - (-3 + 2)). Give c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -27*t - 12. Let h(g) = -g - 2. Let a(b) = -3*c(b) + 6*h(b). What is the hundreds digit of a(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdyw when four letters picked without replacement from dddyyddpwpdddpp.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25578 and 6048?\nAnswer: 1227744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + -2 + -4 - -5) + (-1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -646*n + 5*c = -651*n + 310, 0 = -5*c + 20. Calculate the remainder when 327 is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 10:27 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v + 1 = -34. Suppose v = 6*z - 19. Let u(o) = -2*o - 1. Calculate u(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, o: 5, m: 3, s: 3}. Give prob of sequence mo.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**16\/(f**(1\/3)\/f)*f**(1\/3)*f*f**(-1\/11) assuming f is positive.\nAnswer: f**(197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -3893, -5, -447 in decreasing order.\nAnswer: -5, -447, -3893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**2\/4 - 133674031*w\/2 - 17868746563788961\/4 = 0.\nAnswer: -133674031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15.961 + -15.661. Let z = 2.4 + -0.7. Let d = 0.3 + z. Put s, d, 0.13 in descending order.\nAnswer: d, s, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**2 + 3 - 3)*(-59*t + 13*t - 2*t).\nAnswer: 96*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 4 = 36. Let o = y + 10. Let w(g) = 2*g - 1. Let p be w(3). Solve -21 = 2*r - p*b, o*r - 2*b + 8 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74\/4*(-4 - (8 - 10)) - -5.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 103.7585 times -1.6\nAnswer: -166.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1002?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*x**2 - 3*x**3 + x**3 + 2*x + 25*x**2 + 5 + 28 to the form f*x**3 + b*x + r + q*x**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -11245611 (base 9) in base 16?\nAnswer: -535b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 69143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1170)\/91)\/((-6)\/28). Suppose -65*z - 5430000 = -c*z. Round z to the nearest ten thousand.\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 310, 308, 306, 304, 302, 300?\n\"Answer: -2*w + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 124204772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wtwv when four letters picked without replacement from vwwwwvwbwvwt?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -17*v. Let q(m) = -8*m. Let j(c) = c**2 - c + 11 - 7*c - 5. Let s be j(6). Let w(i) = s*z(i) + 13*q(i). Let u(d) = -2*d**2. Calculate w(u(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 24\/36*(1 + 23). Let p be (-95)\/(-20) + 4\/g. Solve 0 = p*b - 2 - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/5  (b) -3\/7  (c) -1.5  (d) 7.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 12:36 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 PM and 12:11 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 9, l: 9}. What is prob of sequence lc?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -55193918, -110387843, -165581768, -220775693?\n\"Answer: -55193925*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000357199 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4011442 (base 5) to base 15\nAnswer: -13b9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 - 20*f + 20. Calculate m(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27852, 27853, 27854, 27855, 27856?\nAnswer: 27857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.155 - -0.195. Suppose -h - 6 + 8 = 0. Which is bigger: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 5776.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33450853 and 7148?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 69\/2*u - 1587\/4 - 3\/4*u**2.\nAnswer: -3*(u - 23)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 4*n**2. Suppose 2*q + 6 = 5*r, 5*q - r - 3*r = 2. Let f(u) = 5*u**2 + 7*u**2 - 11*u**q. Determine c(f(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*h - 66 + 18 = 13. Which is the fourth biggest value?  (a) -6.8  (b) h  (c) 2\/11  (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0, -1, 3\/2, -2\/7, 4\/53, -3\/5, -2\/9?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12595840 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110010020 (base 3) to base 4.\nAnswer: 2022003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (92\/(-345)*(-3)\/6)\/((1008\/40)\/21)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -343, 0.1, 4, 39, -0.18, 3.\nAnswer: -343, -4, -0.18, 0.1, 3, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28772949 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + i - 125, -141 = 5*b - 5*i + 34. Calculate the remainder when 93 is divided by (b\/(-25))\/(-4 + (-222)\/(-55)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 103*u**3 + 2*u**2 - 11*u + 123. Let t be f(7). Suppose t + 14218 = 17*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10*(-11)\/(-66))\/((-70)\/36).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4.24071 - 214297\nAnswer: -214292.75929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-41464)\/(-6780) + -6 + ((-81)\/270)\/((-9)\/(-4))\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 203\/74460 and -109\/13140.\nAnswer: 223380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -259494*a**2*j**2*s + 357*a**2*s**2 - 20*a*j*s**2 + 12511*j**2*s**2 - 10*j*s**2 - 5 wrt a?\nAnswer: -518988*j**2*s + 714*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2415 (base 6) in base 3?\nAnswer: 210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1057802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - l = 0. Suppose l = 3*p - p - 4. Let f be ((-3)\/2)\/((-6)\/8). Solve -2 = -f*q - 2*q - p*w, -4*w + 9 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 118932 and 55779108.\nAnswer: 55779108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.028757243 rounded to four dps?\nAnswer: -0.0288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 3 - 3. Let s be (-4 - 1)\/(-1 - m). Is (-160)\/(-7) + s\/(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (((-55)\/(-4))\/(-1))\/(550\/(-880)) and 94?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -10174, -10138, -10074, -9976, -9838?\n\"Answer: s**3 + 8*s**2 + 5*s - 10188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that v**5\/8 - 25*v**4\/8 + 19*v**3\/2 + 119*v**2\/2 + 14*v - 80 = 0.\nAnswer: -2, 1, 8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 3*f. Let d be (1 - (-1 + 1))*-3. Let y(j) = -j. Let c(k) = d*y(k) + w(k). Let b(r) = -r**2. Calculate b(c(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-211)\/(-844)*-44*(-3)\/6.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - 2*d - d)*(19*d - 14*d - 13*d)*(2*d**3 - d**3 + 0*d**3).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - (-22)\/(-1)) + -2. Is (-160)\/p + (-2)\/13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 100.004368 + -99.96. Round x to three dps.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00147582 to five dps.\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31054.94 - 30988. What is c rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 28*d - 184. What is r(4)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/15)\/((-4)\/(-2064)). Let q = k + -138. Let r = 1.9 + -1.5. Which is the closest to q?  (a) -2\/19  (b) 3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 14*h**3 + 2*h**2 - 7*h**3 + 19*h**3 + 1 as b*h + y + r*h**2 + w*h**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -4*m + 19. Let c(h) = -5*h**2. Determine p(c(b)).\nAnswer: 20*b**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wtwwtwtttw. What is prob of sequence tw?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-21)*(-3)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21005.27 kilometers in nanometers?\nAnswer: 21005270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1540627021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*z**5 + 264*z**3 - 230*z**2 - 1 wrt z.\nAnswer: -120*z**2 + 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -49.4701218 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.0204*-0.4\nAnswer: 0.00816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.1093894 to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r**4 + 2280*r**3 - 48231*r**2 - 351270*r - 557928 = 0 for r.\nAnswer: -3, 28, 738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u - 28 = 8. Put -3, u, -5, 3 in ascending order.\nAnswer: u, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 11710*t**3 - 55*t**2 - 110. Let q(u) = -1301*u**3 + 6*u**2 + 12. Give -6*m(r) - 55*q(r).\nAnswer: 1295*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25617 - 24685.08. Let q = t + -931.5199955. Let c = 0.4 - q. What is c rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 119 and 15?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 2*g - 3*l = 0, g - 2 = 2*l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.0065, 2\/5, 4, 4\/41?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16.25 + -0.25. Let v = 18 - o. What is the second smallest value in -1\/3, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 489.4161 decades?\nAnswer: 48.94161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -0.1, 1, -3.41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (7\/(-2))\/(2\/72). Let l = -1960 + 1884. Let p = l - j. Calculate the remainder when p is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 22\/55 + (-4)\/10. Suppose v = -0*b - 2*b + 8. Suppose 377 = l + w, b*l - w + 4*w = 1510. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35, 55, 77, 101, 127, 155?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 156 (base 11) to base 14.\nAnswer: d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -708*v + 21 = -704*v + 5*f, -5*v - 9*f = -29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 + 3*m - 2. Let l = 9 - 13. Let f be g(l). Are 1 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3885230329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.53905 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-332)\/(-11) - (-8)\/(-44) - 3. Calculate the highest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209379767.\nAnswer: 101, 2073067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 71091 + 4?\nAnswer: 71095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 23616 divided by 2?\nAnswer: 11808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*x - 27*x + 435. Suppose 133 = -3*j + x. Let i(f) = f**3 - 5*f**2 + 5*f. Give i(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 138, 551, 1242, 2211, 3458, 4983?\n\"Answer: 139*k**2 - 4*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 2:40 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**2 + 4*r + 9. Let q be f(-4). Let y be (-5)\/q + 11\/5. Suppose u - 3*g + g + 4 = 0, 5*u - 4*g = -y. What is the least common multiple of u and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 11*n + 1. Let m(d) = d**2 + 24*d - 178. Let v be m(-30). What is l(v)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271 = -43*l - 0*l - 675 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8.6?  (a) -11063  (b) 50  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.9436 to one dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 324553?\nAnswer: 23, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a + 3*a - 4*a + (4*a + 0*a - 7*a)*(5 + 0 - 2).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 133000, 132965, 132920, 132859, 132776?\nAnswer: 132665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/28 in 2\/7, -2, -0.4, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 56 + -96. Let m = d + 100. Let p = m + -538\/9. Which is the nearest to -0.1?  (a) p  (b) 4  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b - 19 + 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of h**8\/840 + h**6\/90 + 2*h**3\/3 + 2*h. Let x(q) be the second derivative of j(q). Find the third derivative of x(z) wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4*j + 34 = j, 0 = 3*r + 4*j - 51. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 381491.\nAnswer: 11, 79, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 10740 = -0*y - 3*d, 5*d = 20. What is the remainder when y\/(-27) + 4\/6 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rsccrsocrjlrrs. Give prob of picking 1 l and 1 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-4)\/v**9*v\/v**(-9)*v\/(v\/(v**5\/v)) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence opd when three letters picked without replacement from hphddophphohpoo.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4251 (base 8) in base 13?\nAnswer: -1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 8*m**2. Let p(o) = 7*o**2 - 8*o + 4. Let n(g) = 19*g**2 - 22*g + 11. Let r(j) = -4*n(j) + 11*p(j). What is u(r(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87791 is divided by 1282?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2352 + -5.2352. Which is the nearest to -1?  (a) 3\/13  (b) q  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -647\/3081 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (48\/(-16))\/(9\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10286 and -6829.\nAnswer: 70243094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 5*k = 0. Suppose 6*g - 7*g = k. Solve -2*t + 0*t = g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 9*v - 567. Let x be f(64). Solve 4*m = -x*i + 6*i + 25, 5*i - 35 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7968867.446 to the nearest 100000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 206*l + 101. Let w(t) = 674*t + 304. Calculate -10*r(u) + 3*w(u).\nAnswer: -38*u - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -63*x**4 + 2*x + 65 wrt x?\nAnswer: -756*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 2*v + 7 = 3*v, 4*p + 5*v + 35 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.6, 0.5, 0.1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 102 = -j, -3*j + 1 = 2*v - 50. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -35, -163, -385, -707, -1135, -1675, -2333, -3115?\n\"Answer: -z**3 - 41*z**2 + 2*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 5, -65, -114081.\nAnswer: -114081, -65, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 5. Suppose h*c + 9 = c. Let a = 0 - c. Solve -7*j = -a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -733*o**2 - 8*o + 1. Let m(b) = -b**2 + 4*b - 1. Let q(v) = a(v) + 2*m(v). Let i(d) = -2*d**2. Give q(i(w)).\nAnswer: -2940*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.16 and 4067.8.\nAnswer: 4718.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((-3*sqrt(152)*-3)\/sqrt(8) - sqrt(57)\/(sqrt(12)*-3 + sqrt(3)))**2.\nAnswer: 40079\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from {k: 3, r: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 18, u: 1, k: 1}. What is prob of sequence kgug?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(500)*-2 + 2*sqrt(245)*4 + 5.\nAnswer: -24*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 + -4)\/(-7 + 9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1387 + -1374. What is the greatest common factor of h and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3188*((-116)\/(-16) - 7) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 157 - (162 + 47 - 114).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 340 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/(-8))\/((-5)\/50). Let -36 - 15*d**2 - 12*d**3 - 2*d**5 - r*d**2 + 12*d**4 + 44*d + 34*d - 20*d**2 = 0. What is d?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rmmhhhhhpmmhx. What is prob of picking 1 m, 1 h, and 1 r?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 208883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -6*c + 9*c. Suppose -c*t = 2*g - 5*t - 1434, 5*g - 3566 = -2*t. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 less than 69412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 590954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u**3 - u**3 - 4*u**3 + (-4*u**2 + 2*u**2 + 5*u**2)*(-12 - 12*u + 12) to the form h + a*u**3 + s*u + d*u**2 and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 2\/15, 0.2, -4, -0.086 in decreasing order.\nAnswer: 0.2, 2\/15, -0.086, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**1)**30)**(-40))**(-27) assuming h is positive.\nAnswer: h**32400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -114 - -131. Let z(w) = w**3 - 17*w**2 - 2*w + 34. Let g be z(v). Solve -3*y - 9 = -3*m, y - m + 6*m - 15 = g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/((-14)\/(-44)) + -52 + 66?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 6*c - 3. Let x be f(7). Suppose 0 = 4*v - 4, -x*g = -5*g - v + 86. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of -3*m**4\/8 - 3*m**3\/2 + 3*m**2\/4 + 9*m\/2 + 17. Factor y(d).\nAnswer: -3*(d - 1)*(d + 1)*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10001100000101101100 (base 2) to base 15\nAnswer: -b5039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -9*l**3 + 138*l**2 - 43*l + 31. Determine q(15).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*y + 268902 - 27726 = 0. Suppose y = -5*k + 48054. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o**(8\/7))\/o)\/o**(-1\/16) assuming o is positive.\nAnswer: o**(247\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 949 less than or equal to 950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -5*q**3 - 2*q**2 - q + 4. Let l(y) = -y**3 - y**2 + 1. Let b(a) = 4*l(a) - w(a). Solve b(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3457965 by -5.\nAnswer: 691593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - g - 2*g**2)*(-g**2 - g**2 + 0*g**2)*(5*g - 2*g - 2*g + 2).\nAnswer: 4*g**5 + 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = m + 8, 4*u + 6*m - 9*m + 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 3*v, -4*v + 4 = 4*c + 20. Let p(u) = u**2 + 8*u + 6. Let x be p(-8). Let f(w) = 3 - 2 + x*w - 4*w + w**2. Calculate f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 + 5*v**2 + 3*v**2)*(-4*v + 4*v + 2*v).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39427 and 131128.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119282 is divided by 3879.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1103997 divided by -367999\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 309285 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -95*c**2 - 149*c + 343. Determine x(4).\nAnswer: -1773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/27 and (1\/((-24)\/(-16)))\/(3*-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t = 2*y + 9*t + 3, -5*y - 4*t - 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -16*c - 143. Determine n(-12).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - l = 623, -4*l + 3124 = 2*x + 3*x. What is the greatest common divisor of x and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 632 divide 72710226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -11*r**2 + 244*r - 41. Let h be t(22). Solve -11*p + 47 = h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9840 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 111 - 107. Sort -5, w, -4, 13.\nAnswer: -5, -4, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 77*(-4)\/(-22)*12\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-3)*((-35)\/(-10))\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - (-16)\/6)*141. Let h = 37 + y. Calculate the remainder when h is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(2\/15))\/(a\/a**(-4\/5)*a))\/(a*a*(a*a*((a**(-1\/2)\/a)\/a)\/a)\/a*a)**15*((a*a**1)\/a**(4\/5))\/((a\/(a**(-2\/9)*a))\/a*a*a**(-4\/5)) assuming a is positive.\nAnswer: a**(-133\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12 - 9. Suppose 4*k - 6 = -4*n + 6, d*n - 7 = -k. Let i(b) = 36*b - 3*b**n - 21*b - 15*b. Let f(v) = -2*v**2. Determine i(f(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -233 - -271. Suppose 28*s + o = -74. What is the fourth smallest value in 4, 3, -0.08, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - (-1 - 3))*(4 - 2). Find the second derivative of -3*r**2 + 10350*r - 10444*r - 22*r**3 + q*r**2 wrt r.\nAnswer: -132*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14163191099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*21\/(-14) - 8\/(-2). Let s be 0\/(-27)*(-1)\/m. Solve u - 5 = -2*u - f, -3*u + f + 7 = s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7358 = -72*z - 7934 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 2:15 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 220242 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13 - 4\/(-5)*20\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/3 and 22\/392193.\nAnswer: 392193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12924?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2022 - 221120?\nAnswer: -1000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 2*m**3 + 2642*m**2 - 26642*m - 29282 = 0.\nAnswer: -1331, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 527867134818852 - -0.4.\nAnswer: 527867134818852.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1 and 7316736195690.\nAnswer: 7316736195690.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/1729 and 37\/62254127.\nAnswer: 435778889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36 + -51. Let h = y + 22. What is the units digit of 7\/(((-28)\/(-16))\/h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 3*b - 23. Let k(c) = -14*c + 88. What is 2*k(t) + 9*q(t)?\nAnswer: -t - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 + 66 = -61*r + 70. Solve -45*m - 11 = -r*d - 44*m, -3*d + 15 = -m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 156*r**2 + 176*r - 1?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is a66 (base 12) in base 16?\nAnswer: 5ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*p - 7*p**2 - 14*p + 1 - 12*p + 13*p to o*p + x*p**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**6*l*l**(-10) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p - 5. Let y(f) = -f - 3. Let h(s) = -6*j(s) + 10*y(s). Let o(g) = 6*g + 4. Calculate h(o(n)).\nAnswer: 12*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 9, -5*t + 4*l - 10 = -4*t. Solve 3*s = -t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 8*z + 5. Let f be (-3)\/(-2) + 237250\/1100. Let j = -217 + f. Is z at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (3\/3)\/(-1)*(7 + -4577)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12321 is divided by 334.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 70542904219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((n\/n**11*n)\/n)\/(n\/(n*((((n*n\/(n*n\/(n\/((n*n**(-5\/4))\/n*n*n))*n))\/n)\/n)\/n)\/n)))**0)**(3\/4))**(2\/5) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**2 + 3*q**2 + 400*q + 1172 - 717 - 455 to l*q + p*q**2 + b and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 + 11. Suppose 151 - 723 = -143*x. Solve x*o + a + 0 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/28)\/(3\/(-21)). Suppose 5*l - 1 - 4 = -5*s, f*s + 3*l = 1. What are the prime factors of 8 + s + 0 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 39030 - 60*z**3 - 39033 - 87*z**3 - 2*z**2 wrt z?\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 31*z**2 + 22*z - 37. Let a be x(24). What is a rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**2 - 3*i**2 + 3*i**4 + (-6*i + 0*i + 3*i)*(-3*i - 2*i**3 + 3*i) + 0*i**4 - 3*i**4 + i**4.\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -19\/102547, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -428*d + 427*d + 6 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -417, -414, -411, -408, -405?\n\"Answer: 3*n - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 25*u**2 - 4*u + 4. Calculate h(2).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 45276885 + -23296885. Suppose 81*g + b = 74*g. What is g rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5302 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -5*b**3 + 15*b**2 + 20*b = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m + 21*m**3 - 6*m**2 + 2*m**2 - 20*m**3 + m**2 + 2. What is y(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t**3 - 39*t**2 + 55*t - 20. Let n be z(18). Which is the nearest to -8?  (a) -4  (b) n  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 AM and 2:06 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5928 divided by -7543.\nAnswer: 312\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 7*w - 7 = -5*s, -4*s - 5*w + 11 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, z: 1, p: 1, l: 2, o: 1, e: 1}. What is prob of sequence tozp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 54 - 42 - (3 + -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9459\/(-15765)*(476\/(-6))\/7\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -7*o + 5. Let a(r) = 1. Let j(m) = m + 6. What is o*j(d) - 6*a(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**2 + 29*g + 7. Let s = 15 + 0. Give y(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - 8*d + 1. Let m be f(8). Suppose 4*y = 5*z - 107, -y - 2 - m = 0. What is the remainder when 7056\/192 + 1\/4 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 2\/17, 2\/5, -51 in descending order.\nAnswer: 2\/5, 2\/17, -9, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -116 - -593\/7. Let r = -185\/7 - g. Find the common denominator of r and -17\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 625 + 3815 = 2886*i - 2516*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 1. Suppose -14*k = 10*k + 72. Let y be (2\/(-4) - (-27)\/18)*1. Let s(q) = q**2 - q - 1. What is k*r(a) + y*s(a)?\nAnswer: 4*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10.24525 and -129.\nAnswer: 1321.63725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of a**7\/30 - a**3 + 8*a**2. Differentiate x(s) with respect to s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (35529 - 11) + 5\/((-10)\/4). Let g = -21616 + c. What is g rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 60 = -3*n, -6*s + 98 = -s + 2*n. Suppose 4*k = 2*a + 1 - 27, k + 9 = a. What is the remainder when (((-2 - k) + -11)*3)\/(-1) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(3) - (sqrt(3)*-3 + sqrt(3))*-2) + (sqrt(75) - sqrt(3))*-5 + sqrt(3)).\nAnswer: 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5410 divided by 1035?\nAnswer: -1082\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 1685487?\nAnswer: 1685502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13505402 (base 6) to base 8.\nAnswer: 1602352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 8780389, 8780372, 8780355, 8780338, 8780321, 8780304?\n\"Answer: -17*a + 8780406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4242 divided by -3?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1615 + 313?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 + 59 + 21*q - 17*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p - 12. Let v be n(8). Let q be 3*(0 + 5)*3232\/16160. Let r = 2 - -3. Solve -v*d = -r*d - q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l + 1. Suppose -x + c = -4*x + 20, -5*x - 5*c + 20 = 0. Let b(d) = d - 8. Let j be b(x). Let z be o(j). Solve 3 = -q - z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 712488 or 4987413\/7?\nAnswer: 712488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000007083488482 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/24 and 25\/67415384.\nAnswer: 202246152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4311 - 2189. What are the prime factors of n?\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -4*n**3 - 36*n**2 + n + 9. Let l(u) = 9*u**3 + 78*u**2 - 2*u - 21. Determine 13*h(y) + 6*l(y).\nAnswer: 2*y**3 + y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39 - 19. Let r be 28\/l + 2\/(-5). Let b(g) = 13*g + 120. Let n be b(-9). Solve o = n*u - 2*o + 6, -r = 2*u - o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of 198*h**5\/5 - 143*h**4\/12 - 143*h**3\/3 - 2*h**2 + 8*h + 53. Let g(a) = 25*a**2 - 3*a - 3. Give 572*g(p) - 6*k(p).\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -20 - 30341143202?\nAnswer: -30341143222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 160751\/6 - 26793. What is the smallest value in 0.23, 0.2, g, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3198157.\nAnswer: 79, 40483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001322130 (base 4) in base 2?\nAnswer: 1000001111010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i + 24. Let a be h(0). Let l be ((-18)\/5)\/((-1)\/60). What is the greatest common factor of l and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 7:19 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20033300000 - 331?\nAnswer: -20033300331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 243, -2, 4, -0.045?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 522 = -0*q. What are the prime factors of q\/4*(-8)\/12?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in -0.1, -0.06, -3, -325.3, -0.2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2 - 3*v + 8*v + (1 + 1 + 0)*(3*v + v - 2*v))*((-1 - 1 + 0)*(2 + 17 - 1) + (4 - 3 + 4)*(3 - 2 - 4)) to y*v + s and give s.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**3 + 316*r**2 - 4975*r - 3253. Give l(-331).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 13*c**2 + 9. Let g(l) = 3*l**2 + 2. Let i(y) = -4*a(y) + 18*g(y). Let d(f) = -2*f + 8. Calculate i(d(s)).\nAnswer: 8*s**2 - 64*s + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/10*(-110)\/33*3. Sort -0.4, 4, 3, n.\nAnswer: n, -0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 82*t + 3463 - 2397 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3737 divided by 1\nAnswer: -3737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/2  (b) -408\/5  (c) 0.5  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.772 - -4.\nAnswer: 13.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 + 20. Suppose -f*g + 86 = -g + 5*v, -3*g - 4*v = -269. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + 19. Suppose 4*s - 3*q = -11 + 29, 5*q + c = 4*s. What is the units digit of -4 + s + 5 + 132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/79 and 89\/10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from fzzysxzxszxxfxxszxxy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -489*r + 11 + 14 + 3*r**2 - 6*r**2 + 488*r in the form p*r + d*r**2 + z and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2668 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 523*p = 478*p - 225 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4150450 (base 6) in base 13?\nAnswer: 70689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i**(-7)\/i)*i*i**(-4\/9) assuming i is positive.\nAnswer: i**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3649, 3657, 3671, 3691?\nAnswer: 3717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.2 and 597457?\nAnswer: -1314405.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -16*c**2. Let g(r) = -7*r + 5. Let n(o) = -11*o + 8. Suppose -24 = -4*y - 4*q, y - 2*q = -3*y + 36. Let u(j) = y*g(j) - 5*n(j). Give t(u(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 50941 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 4 - 1 + 134*w**2 - 15280*w + 15280*w.\nAnswer: 134*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31753*i**5 - 4*i**4 - 4355*i wrt i.\nAnswer: -635060*i**3 - 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 26 = 3*r, 0 = 56*u - 60*u + 5*r + 55 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 10:35 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2258, -3014, -3770?\n\"Answer: -756*w - 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in thirty-one halves of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -3*p - 1. Let h(k) = -32*k - 3. Determine 3*h(l) - 6*t(l).\nAnswer: -78*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 6*t = 4*t. Suppose -8 = 12*a - 13*a + 2*x, -3*a - 4*x - 6 = t. Factor 10\/7*g**a - 2\/7*g**3 - 2*g + 6\/7.\nAnswer: -2*(g - 3)*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**3\/2 + 2783*p**2\/2 - 1222368*p + 345386790 = 0. Calculate p.\nAnswer: 714, 1355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g**3 - 9*g**2 + 19*g - 3. Is b(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 6336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*k + 8786 = 770*k + 366 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2\/1162961, 3 in descending order.\nAnswer: 3, 1, 2\/1162961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, t: 13}. Give prob of picking 1 t and 2 n.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (66 - 2) + (-88 - (73 + -195))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 15 = -3*o. Suppose o*h - i - 19 = 0, 0 = 5*h + 4*i - 14 - 29. Calculate the remainder when 104 is divided by 144\/7 - (-3)\/h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53231\/2883 - 14\/4805. Let q = m - -55\/3. Let j = 23\/60 + q. Is j not equal to -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1615 divided by 1.\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 - 15*w + 8. Suppose 3*x + 23 = 209. Suppose -m - x = -4*y, 90 = 4*y + y + 5*m. Is p(y) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14776 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 12:19 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -16*z + 22 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -92*k - 3215. Calculate the remainder when 452 is divided by v(-37).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b**2 + 3*b**2 + 2*b**5 + (-b**4 - 3*b**4 + 3*b**4)*((-3*b + 1 - 1)*(-4226 + 2160 + 2223) + 4*b - b + 4*b).\nAnswer: 466*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (1*sqrt(153) + 5)) - (-1 + sqrt(153) + 2)) + ((4 + sqrt(153)*2)**2 - 4*1*sqrt(153)).\nAnswer: 36*sqrt(17) + 622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4639 - -5061. Solve -g*p + 417*p = 40 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 - -23.4. Sort s, -1, -4.\nAnswer: -4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 50 - ((2 - 0 - 2) + (7422 - 7418)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10653343687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144 and 1792640?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4*(-6)\/(-96)*652\/(-3). Which is smaller: y or -54?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - d = -22, z + 3*d = 2*z + 2. Differentiate 135*u**4 - 4*u**3 + 128*u**4 - 406*u**z + 114*u**4 - 198 with respect to u.\nAnswer: -116*u**3 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*a = 41*a + 88. Let v(q) = 5*q**2 - 2*q. Let n(y) = y**2 - 2*y - 1. Let i(u) = 6*n(u) - v(u). Determine i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-125)\/10*(-5)\/(-50))\/(5*(-14)\/1960)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -175*u + 11382. What is g(65)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 11545939 - 15634061 = 0. What is k rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 PM and 5:01 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -341b920 - -3?\nAnswer: -341b919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 129 + -182. Let k = -53.0198 - u. Round k to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/3 + 4)\/(30\/(-9))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18 - 59*z**2 + 18)*((4 + 0 - 3)*(7 - 4 - 2) - 17 - 10 - 5) in the form i + o*z**2 + f*z and give o.\nAnswer: 1829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((2\/186)\/((-298)\/894))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2503355 (base 6) to base 15.\nAnswer: 29608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 71 by 3.\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of m**2*p**3 - 2*m**2*p*z + 256*m**2*p + 202*m*p**3*z - p**3*z wrt z?\nAnswer: -2*m**2*p + 202*m*p**3 - p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2. Let f(n) = -17 + 60*n**2 + 81*n**2 - 189*n**2 - 3. Determine f(v(l)).\nAnswer: -48*l**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 27*z - 3878. Calculate t(145).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 9*q**2 + 7*q + 7. Let z(o) = o + 2. Let u be z(6). What is f(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -18*l + 9. Let u be h(-7). Suppose z + 2 = 7, y - 3*z - u = 0. Calculate the common denominator of -69\/22 and (-40)\/108*y\/8.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, s: 4, x: 4, j: 7}. What is prob of sequence js?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -4*k - 2. Let p(l) = -11*l - 6. Let r(n) = -8*c(n) + 3*p(n). Let b be r(-6). Find the third derivative of -3*i**2 + 21 - 21 + 6*i**b wrt i.\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65370139 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of 4*a**2 + 2085. Let i(y) be the first derivative of -17*y**2\/2 - 2. Give i(x(d)).\nAnswer: -136*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -81.34 - 514937.\nAnswer: -515018.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-7)*(-3)\/3*(-48)\/(-216)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) 1  (b) 2\/5  (c) 4\/3  (d) 32\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -125  (b) 36  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - 1. Let d(b) = -4*b**2 + 161*b - 82*b - 80*b + 3. Determine d(c) + 6*s(c).\nAnswer: 2*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -5, 17, 79, 199, 395, 685, 1087?\n\"Answer: 3*l**3 + 2*l**2 - 5*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -9371*z - 6. Let n(j) = -144856950*j - 92750. Let s(c) = 3*n(c) - 46375*x(c). Let u(l) = -l**2. Give s(u(b)).\nAnswer: -9275*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19)\/((-37582)\/92))\/(-2)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -78*t**2\/11 + 20786*t\/11 + 10680\/11 = 0. What is t?\nAnswer: -20\/39, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.9*9151\nAnswer: 8235.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19262279*j*u**3 - 9296273*j*u**2 wrt u.\nAnswer: -115573674*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of 0*i + 177 - 20*i**2 - 50*i**3 - 35\/4*i**4. Suppose o(z) = 0. What is z?\nAnswer: -4, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 340900 and 19254032?\nAnswer: 481350800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -22, 8, 0.18, -0.016, -7, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*c - 10226 - 1138. List the prime factors of c.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -u**6\/30 - u**5\/20 + u**4\/12 + u**3\/6 - 10*u. Let n(h) = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 31*w - 3 - 19*w)*(2*w - 3 + 3) to y + i*w**2 + x*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 5*y - 135, 2*m = 3*y + 4*m - 77. Suppose 3*i = -2*k - y, -i + 2*k - 6 - 1 = 0. Find the common denominator of 2 + -2 + i\/(-15) and -87\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of o**8\/448 + o**7\/70 + 3*o**6\/80 + o**5\/20 + o**4\/32 + o**2 + 12*o. Let r(v) be the first derivative of b(v). Factor r(q).\nAnswer: 3*q*(q + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6976 + -6972. Let a = 8 + -6. Let v = 18 - 17. What is the closest to a in v, -5\/6, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of -x**4 - 5*x**3\/6 - 2*x. Find the second derivative of t(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*n - 112*n - 13*n + 32550 = 0. Does 70 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -207*f**2 - 173?\nAnswer: -414*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 79 + -76. Let i(k) = 9*k + 5 - 4*k**2 - 5*k**3 - 2*k + 4*k**3. Let s be i(-5). Sort c, -2, s.\nAnswer: s, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -269617, -269612, -269605, -269596, -269585, -269572, -269557?\nAnswer: -269540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1250 + -1246. Let s(x) = 2*x**2 - 10*x + 5. Give s(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -25. What is the nearest to 0.2 in -0.2, n, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(832) + 1)*-6 - sqrt(832) - (sqrt(832) - 2*sqrt(832))*3))**2.\nAnswer: 6144*sqrt(13) + 213568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 4*s**2. Let i be 1\/5 - (-11)\/(-5). Let u be b(i). Suppose -2*l = 5*n - 24, -4*l + 2*n - u + 32 = 0. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w**2 - 3*w**2 + 3*w**5 + (-w + 3*w + 0*w)*(2*w**4 + 3*w**3 - 3*w**3).\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/313417440 and -17\/420?\nAnswer: 313417440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 33053621053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/9*(-5)\/(10\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 - (27 + -16 - -11)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3029 is divided by 727.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -14, -48, -116, -230?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.029, -1\/6, -253374 in decreasing order.\nAnswer: -0.029, -1\/6, -253374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ila when three letters picked without replacement from iailaliliiaalliiai.\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -115*t**2 + 8*t + 1. Let u(h) = h**2 - h. Let i(c) = -a(c) - 5*u(c). Is i(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 4. Let r be n(3). Let x be r - (-6)\/2 - -1. Suppose 4*f = -x*y + 115, -3*y = -6*y + 2*f + 69. Solve -2*q = i + 1, 5*i - y = 5*q - q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 10*i + 7. Let c be y(-10). Let b be -255 + c\/((-21)\/(-12)). Let x = 438 + b. What is the greatest common factor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 200 and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from ufvcuec.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(60)\/sqrt(2))\/(sqrt(96)*-3).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 4:10 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = p - q + 9, 5*p = 5*q. Let x(u) = -6*u + 7. Calculate x(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*t + 5*t + t**2 + 4*t + (t - t + t)*(-1 + 1 + t) + (-2 + 1 - 2)*(-3625*t - 24*t**2 + 3625*t) to the form a + b*t + x*t**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 9, k: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/8632 and 49\/12948.\nAnswer: 25896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10041464 by -8.\nAnswer: 1255183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 439707250?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -87*a**3 + 8467*a**4 + 2*a - 9 - 16955*a**4 + 0*a**2 + 2*a**2 + 8489*a**4 in the form c*a**2 + q + p*a**4 + g*a + i*a**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2235*k + 2235. What is i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -3*s - 10, -c + 0*s + 14 = -5*s. Let j be (2 - -1)\/((-1)\/c). Suppose j*r - 3 = 3. Solve h = -r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 174, -1823, 331 in decreasing order.\nAnswer: 331, 174, -1823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.5505 - 1.008. Let h = -126 - -123.5. Let n = k + h. What is n rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -1\/430125411 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2312717 or -2312707?\nAnswer: -2312707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 156 and 36764?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22304, -44631, -66954, -89273, -111588, -133899, -156206?\nAnswer: -178509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -21646\/9 at least as big as -2405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 186 in -0.1, -1, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 2142842\nAnswer: 5\/2142842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mtw when three letters picked without replacement from {t: 8, w: 2, s: 3, m: 4}.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6901?\nAnswer: 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 83*n + 8. What is the remainder when u(4) is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - -1426?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = -5*y - 3, 2*y - 47*m - 5*m + 6 = -50*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 19917575 divided by 25\nAnswer: 796703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14023 (base 5) to base 10.\nAnswer: -1138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10983705, -21967375, -32951045?\nAnswer: -43934715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -19*f - 5. Let j(b) be the second derivative of 5*b**4\/4 - 3*b + 69. Calculate j(x(y)).\nAnswer: 5415*y**2 + 2850*y + 375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 32 - -10605624?\nAnswer: 10605656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18.2 - -22. Let d = 3.781 - m. What is d rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -0.5, -2, -38, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -0.0235\nAnswer: 0.01175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -259472937 divided by -86490979?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - 3 + 3)*(v + 4*v - 6*v + (-1 + 1 - 2*v)*(3 - 1 + 0) - 5*v - 5*v - 3*v) + (v - v + 3*v)*(6*v - 23*v - 7*v).\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ejoe when four letters picked without replacement from {o: 2, j: 4, e: 8}?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q. Let w(k) = 3*k + 609. Determine d(w(v)).\nAnswer: 3*v + 609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 1 = -4*j + 11, 5*j = 10. Let f be 2 + (-1 - t)\/1. Let z be 12\/18 + (-32)\/30. Which is greater: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) 1\/5  (b) -0.4  (c) 2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 56\/27 and 19\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -274*l - 5*n = -6830, 415*n = -5*l + 419*n + 141 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 5, -3*a - 2 = -4*b - 49. Calculate the remainder when 184 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.99 - -0.01. Suppose 4*l + 4 = -4. Let j be ((-4)\/(-6))\/(l\/(-6)). Which is the nearest to 1?  (a) j  (b) 4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**3 - 4198*s**2 - 1683749*s - 1679552 = 0. Calculate s.\nAnswer: -3749, -448, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2517)\/(-15) + (-6)\/(-30). Calculate the greatest common factor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 - 8*k**2 - 3*k. Suppose -35*z - 181 = 64. Let l(b) = 2*b**3 + 17*b**2 + 7*b. Determine z*a(x) - 3*l(x).\nAnswer: x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 112 = 10. Let o = 21 - u. Suppose -o*m + 3*a = -71, -4*m - 30 = -6*m - 4*a. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2319654329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 77773.27 - 78105. Let y = 3963 - 3634. Let s = y + b. What is s rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65*((-59)\/(-59))\/((-5)\/(-2)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -574\/341 - -1756883\/3069. Let x = v + -569. What is the common denominator of 100\/66 + (-3)\/(-3) and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21 + 18. Let w(i) = -1. Let j(x) = -x - 3. Let v(k) = t*w(k) + j(k). Let l(g) = -g**2 + 5*g. Calculate -2*l(c) - 10*v(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4422101 (base 6) to base 9.\nAnswer: -365771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3650 and 622982?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 0.065  (b) 0.16  (c) 2  (d) 6\/5  (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 76*n**2 - 3. Let p(v) = -151*v**2 + 5. Suppose -2 - 4 = -2*i. Let r(o) = i*p(o) + 5*d(o). Let w(y) = -1 - 118*y + 1 + 120*y. What is w(r(t))?\nAnswer: -146*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2038.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbyoibpyypbt. What is prob of sequence it?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1555 - -0.1385. Does -1 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the second derivative of -v**4\/12 - v**3\/3 - 6*v. Suppose 0 = -2*j - 3 - 3. Let m be b(j). Sort 4, m, -2 in ascending order.\nAnswer: m, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) + sqrt(252)*-1 + sqrt(252))\/sqrt(4).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z. Let q(n) = n**2 + 4*n + 7. Let f(t) = -q(t) + 4*u(t). Suppose -3*d + 9 = 5*o, o = -0*o - 3*d + 9. Suppose o = 2*h + 2*h. Calculate f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 94.857 and -0.4.\nAnswer: -37.9428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - 9\/3)*-1. Suppose u = 5*q - 5, -q = 2*d - 3*d + 2. Solve 5*g = -d*p + 16, 4*p - g - 4 = g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-7))\/(10\/30*1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 - 2*v + 6. Let q be s(4). Let f = q - -33. Let a = f - 4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 302658883 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -5*m + 47, 59 = 3*m - 11*a + 40 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 10:10 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*s**2 - 5*s**2 - 2*s**2.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 1\/6, -2\/5, -13, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cyc when three letters picked without replacement from {c: 2, y: 9, w: 6}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1677 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the second derivative of -j**5\/20 - j**4\/24 + 2*j**3\/3 - 4*j. Let x(y) be the second derivative of l(y). Is x(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**3 + 0*o**3 - o**3 + (0*o**2 - 2*o**2 + 4*o**2)*((-3 + 2*o + 3)*(-2 + 6 - 3) + 2*o + 0 + 0)*(-1 + 3 - 3).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 43188 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q - 6*q - q + 10*q + q**4 + 2*q**3 - 3 in the form f*q**3 + p*q**2 + z + r*q**4 + d*q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -882.77 - 3.1083658.\nAnswer: -885.8783658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a, 3*a - 5 = -s + 5. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 28*j - 700625 = -30*j. What is the greatest common divisor of j and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 2, -24.\nAnswer: -24, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 1 + (0 - (-1 - 82))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 159559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 AM and 9:47 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6293275123.\nAnswer: 29, 197, 1101571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -711*f*r**2 - 2*f*r - 8*f + 6*r**2 - 2*r - 29 wrt r.\nAnswer: -1422*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-1 - (0 + 3 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-13)\/(-26))\/((-1)\/(-8)). Let y be 394\/4 + f\/(-8). Let j = 387\/4 - y. Which is the second smallest value?  (a) 9  (b) j  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(204)\/(sqrt(4800)\/sqrt(8)))\/((sqrt(20)\/sqrt(10) + sqrt(2))*-5*-3).\nAnswer: -sqrt(17)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 980.465 millilitres in litres?\nAnswer: 0.980465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/27)*u)\/u*u*u**(1\/13) assuming u is positive.\nAnswer: u**(352\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*n - 4*z + 32, -114*z = n - 107*z - 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z. Let m(r) be the second derivative of 1\/6*r**4 - r + 0*r**2 + 0 + 0*r**3. What is u(m(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from ohfohhhohzhhnhofhfff?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5540 is divided by 132?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (104 - 104 - 12*a**2)*(-2 + 4 + 1)*(35*a - 34 + 34)*(-1 + 0 + 0).\nAnswer: 1260*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03537 and 394?\nAnswer: -13.93578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5643443454*c**2 - 5643444186*c**2 + 12*c - 12*c.\nAnswer: -732*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 570 is divided by (-48)\/(-840) - (-5736)\/70?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of -s**8\/84 - s**5\/6 + 5*s**2 - 2. Let g(d) be the second derivative of b(d). What is the third derivative of g(a) wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 1:55 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z**(-1)*z)*z))**(-27)*(z\/(z*z\/z**(-5)))\/(z**5\/z) assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of 4\/15*b**3 + 3 - 2\/5*b + 0*b**4 - 2\/25*b**5 + 0*b**2. Determine w so that q(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/12 + (-8109)\/(-3213).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 11 = 63. Is 53 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 7, f: 3, a: 9}. What is prob of picking 2 a and 1 f?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 3*d**2 - 6*d - 1. Suppose -3*b - 65 = 5*f, -4*f + 4*b - 30 = 2*b. Let x = f - -15. Let w(q) = -q + 1. Let z be w(x). Calculate u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 118.8 in -7, 24, 1\/15?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6 - 2 - (-14 + 11 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -35\/2?  (a) -1  (b) 4\/335  (c) 3  (d) -0.04  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -190379?\nAnswer: -190379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.72 - 0.02. Let p = 12.7 - 10. Let t = k + p. What is t rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/33 and -7\/382093140?\nAnswer: 382093140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 22494389 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35135 (base 11) to base 4.\nAnswer: -30120301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2585 - 2585. What is the closest to -7\/4 in a, 1\/4, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1402 + 0?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 5*s**2 + 49*s - 11. Let m be p(-10). Suppose 0*k + 3*k - 15 = z, -9 = -3*k - z. Put 8, k, m in increasing order.\nAnswer: m, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 208, 2\/9, 5, -0.7, 0.1, -0.1 in increasing order.\nAnswer: -0.7, -0.1, 0.1, 2\/9, 5, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2417, -2405, -2369, -2297, -2177, -1997, -1745, -1409?\n\"Answer: 2*s**3 - 2*s - 2417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 1\/3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 25 + 7. Suppose -p + 4*x + 57 = 0, 42 = 3*p + x - 129. Calculate the greatest common divisor of b and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2\/3 + 30790*p + 142203615.\nAnswer: 5*(p + 9237)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -188841 to the nearest one thousand.\nAnswer: -189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q = -2*q - 2*d + 8, 37*q + 4617*d = 4618*d - 76 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*y - 6*y + 1 + 2*y**3 + y**3)*(-2*y**2 - 2*y**2 + 6*y**2).\nAnswer: 6*y**5 + 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - a + 401 - 79, 0 = 5*v + 4*a + 805. Is (-69)\/v + 162\/14 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = d + 188, -v - 3*d + 4 = -56. Calculate the remainder when 103 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 4 - (-70 + 65)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-3 + sqrt(637) + sqrt(637) + 2)**2 - (1 + sqrt(637) + 2 + sqrt(637))**2).\nAnswer: 8 + 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 13\/5, 64, -1\/2, 0.459.\nAnswer: -1\/2, -1\/5, 0.459, 13\/5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 21 = -3*p, t + 2 = 4*p - 6. Calculate the greatest common divisor of 2 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2*g = -8. Let m be 0*(2\/g - -2). Let z = -25 + 28. Solve m = z*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of -k**4\/12 + 7*k**3\/3 - 8*k**2 - 10*k. Let q be v(19). Let i = 369 + q. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-7) - 33\/(-7). Suppose -5*t + 373 = 3*d - 282, -3*d - 2*t + 667 = 0. Let n = 229 - d. Is x bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2153*z**2 - 2*z - 3*z + 2252*z**2 - 3711*z**2)*(-2*z + 2*z + z).\nAnswer: 694*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1147020\/(-88))\/3 + 3. Let p = 4343 + t. What is the common denominator of p and 47\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-13059)\/(-15) - -2*(-4)\/(-20). Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(175))**2 - (sqrt(28) - sqrt(448))\/sqrt(4).\nAnswer: 23*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/11 and 67\/260.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16441412?\nAnswer: 2, 13, 23, 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1857571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -110010 (base 2) in base 5?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20.6 - -20. Round l to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 586, 584, 584, 586, 590, 596?\n\"Answer: j**2 - 5*j + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -728*s**3 - 4201*s**3 - 795*s**3.\nAnswer: -5724*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1.22866, 127\/2, 0 in decreasing order.\nAnswer: 127\/2, 5, 1.22866, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-3))\/(-15 + 10)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5325028 and 1914488?\nAnswer: 5732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 466, 483, 526, 607, 738?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p + 0*p + 654 = -4*p - 55*w, -22 = 5*p + w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405) + -5 + -2 + sqrt(405))**2 + -3*sqrt(405)*3.\nAnswer: -333*sqrt(5) + 1669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23.41 + -3.11. Let v = 20 - m. Which is the biggest value?  (a) v  (b) 4  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -3*t**2 + 8*t - 11. Calculate f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of b**3\/3 - 76*b. Let j(q) = -4*q**2 + 11. Give z(j(t)).\nAnswer: -8*t**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/173 and -17\/7.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f + 69. What is k(46)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (-21 + 2 + 6 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tmc when three letters picked without replacement from {d: 4, t: 3, m: 1, c: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42.92 + 43. Let x = -0.17 + 0.01. Let c = w + x. What is c rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-4)*-44)\/(-2). Let h = -18 + 9. Let z = h - v. Solve 3*b - z*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 0. Let s be (f*(-33)\/(-3))\/1. Let x be (-1365)\/(-25) - (-2)\/5. What is the highest common factor of s and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13385 in -0.12, -4\/3, 1\/2, -1, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (8 + (-259)\/14)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1180*f**3*n + 5048*f**2*n wrt f.\nAnswer: -7080*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 55*w**3 + 1385*w**2 + 1570*w + 240 = 0. Calculate w.\nAnswer: -24, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wgzggppgpwgppkppg. What is prob of picking 1 p and 1 g?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 775.9139 millilitres in litres?\nAnswer: 0.7759139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 21*u - 1. Let z be o(1). Suppose 5*f - z = -0*f. Calculate the remainder when 19 is divided by 243\/45 - f\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 7 = -0*b - i, -b = 4*i - 12. What is the derivative of 1 + 0*c**2 - b*c**2 - 5*c**2 - 12 wrt c?\nAnswer: -26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*((-3)\/(-3))\/(1\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 96, -0.1, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -259917+85477633\nAnswer: 85217716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000681 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*r**3 + 41574*r**2 - 408451 wrt r.\nAnswer: -12*r**2 + 83148*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 44680818 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 81911700 - 51251700. Round j to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2 + r - 11 + (-3*r - 2 + 2)*(2 + 0 + 0) - 15*r - 63*r - 34*r to the form p*r + m and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 PM and 10:12 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 476\/1745 or -1?\nAnswer: 476\/1745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -152 divided by -38\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 74 and 213670486?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*v, -4*v + 0*v + 2 = 3*y. Suppose u + y*p - 14 = p, p - 2 = 0. Let s = -26 + 49. What is the remainder when s is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/4*(-6)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fjjjffjjjffffjjffffj. Give prob of picking 1 j and 2 f.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 200 and 225280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 18*t - 110. Give i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 497744.4 years in centuries?\nAnswer: 4977.444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -28, -57, -90, -127?\n\"Answer: -2*w**2 - 23*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of 11*q**3\/6 + 8*q. Let i(h) = -2*h**2. Give i(z(v)).\nAnswer: -242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 3471 = 2*h + 3377 - 6784, -4*h = t + 103 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -475, -487, -507, -535, -571, -615?\n\"Answer: -4*x**2 - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9246 (base 10) in base 15?\nAnswer: 2b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 78148457869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -35\/34, 1\/2, 2\/7?\nAnswer: -35\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.9501 from -22129962.\nAnswer: -22129962.9501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 23 and 51.\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2131, 2198, 2277, 2374, 2495, 2646, 2833?\n\"Answer: m**3 + 60*m + 2070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.009 + 47.991. Let c = v + -6. Let g = c - 42.00000049. What is g rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/6*(-36)\/144?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + a + 525, 4*v - 384 = 2*a + 146. Differentiate v*p - p**2 - 115 - 24*p - p**2 + 12*p + 17*p with respect to p.\nAnswer: -4*p + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 94583694 by 2102.\nAnswer: 44997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/9  (b) 0  (c) 4  (d) -0.5  (e) -13\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2 and -802684?\nAnswer: 802683.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*y - 6*b - 84 = -9*b, -10*y + 21*b = 17*b + 106 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 + 116*x**2 - 119*x + 499. Let j be i(115). Solve -30*y = -j*y + 45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1251, -2500, -3759, -5028, -6307?\n\"Answer: -5*p**2 - 1234*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11529925 less than or equal to 11529924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 7:21 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.5 and 465580.50875?\nAnswer: 465581.00875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(75\/66 - 1). Suppose -3*x = -t - 2. Solve -2*d + 5*z = 1 + 9, -3*d - 4*z = -x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -65 - -65.202. Let t = 0.002 - m. Sort -1, t, -2\/9, 3 in ascending order.\nAnswer: -1, -2\/9, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 5*m + 204 = 0, -4*n - 4*m - 214 = -9*n. Find the second derivative of 61*l**2 + l**2 + n*l + 68*l**2 wrt l.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 + 10*r**2 + 7*r - 9. Calculate i(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 555680?\nAnswer: 2, 5, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 351086692.\nAnswer: 2, 11, 7979243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 12147659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -30 + 0 + 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/5)\/(1 + -2). Let h be (-77)\/504 - 6\/(-16). Which is the closest to -0.05?  (a) v  (b) 2\/3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -16*a + 1. Calculate j(6).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-2 - 9\/(-6)). Suppose 0 = p*s - 5*c - 8 - 27, 4*c + 35 = 3*s. Solve -s*h + 13 = -12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 160.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -122 (base 12) in base 7?\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*r - 5. Suppose -r*d + 14 - 3 = -3*c, 4*c = d + 7. Solve 3*i = k + 14, -2*k + c*k = -3*i + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 14 = 16. Let l = j + -4. Suppose 0 = 2*s - 7*s + g + 9, -s = l*g - 4. Solve 4 = s*t - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113 = 2*d - 3*u, -3*d + 4*u - 51 = -4*d. Let x = d - 53. Find j such that -8*j - 2*j**x + j**2 - 4 - 3*j**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 38 = -8*k, -k - 95*f = -94*f - 10. Which is the closest to 1\/4?  (a) -0.1  (b) 199  (c) k  (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 6 + 1 + 7 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12339 - 12338.804. Which is the nearest to p?  (a) -1  (b) -2  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 6*f + 55. Let j(a) = 3*a**2. Let d be j(-1). Let s(c) = 2*c**2 + c**d + 0*c**2 - 7*c**2 + 1. Give s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 17 = -49. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -1, 5, 2\/5, -54\/25, 4\/7 in descending order.\nAnswer: 5, 4\/7, 2\/5, -1, -54\/25, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001003234593 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 2165 - 25034 = 0. Let q = h + 6014. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 126 = 5*q, 0*q + 3*r = 3*q + 90. Let d = q + 43. Suppose -13 = -3*p + d. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -15, -4, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*v = -57*v + 234 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 265*h**2*o**5 + 63*h**2*o**2 - h**2*o + h**2 + 2*o**6 wrt o.\nAnswer: 15900*h**2*o**2 + 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 62 + 382 = 0. Suppose 0 = 4*m - 78 - g. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, s: 3, e: 3, x: 4}. Give prob of picking 1 e and 1 s.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2, -11, -60, -163, -338?\n\"Answer: -3*p**3 + 8*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10.4 - 9. Let s = i - 9.4. Let c = 10.1 + s. Round c to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1944304455025 + 1.2?\nAnswer: -1944304455023.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (45\/(-6))\/(54\/(-36)). Solve -2*d - f = -w, w - 2*w = -d - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -3. Suppose -s = -o*s - 8. Let k = -7 - s. Which is the closest to k?  (a) -3  (b) 5\/3  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*m - 269*m - 5680 = 0 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 14*u - 5908 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19.8838 + -3.1838. Which is the closest to 13?  (a) o  (b) 0.5  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2506477 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - -3) + 147735\/(-2450). Which is smaller: -57 or z?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and 7345091871.\nAnswer: 7345091875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-108))\/(3 + (-81)\/24)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 255 - 258. Which is the closest to 3\/4?  (a) n  (b) -0.1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - 5*h**2 + 3*h**2. Let g be u(-1). Let k be 10*1\/3*g. Which is greater: -4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 2211\/((1 - 9) + (-6550)\/(-800))?\nAnswer: 106128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 190 + 200 = 0, 4*v = 5*b - 70002. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4658201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6080031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) 1\/4  (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -179\/10 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -246 + 271. Suppose -12*x = x - 364. Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 242\/3 + (-32)\/12 + 2. Let w = y - 57. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 237, 492, 787, 1122, 1497, 1912?\n\"Answer: 20*s**2 + 195*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11810 + -11808. Solve 20*r = -5*g + 23*r - 3, -h*g - 4*r + 4 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112\/10 + 99\/110*12 + -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, l: 5}. What is prob of picking 3 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.12 - 16.88. Let g = t - -17.3. Suppose -20 = 3*o - 2*n - 2*n, -5*n + 22 = -3*o. What is the nearest to -1\/16 in o, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 14, 1.68, -5\/4, 108 in decreasing order.\nAnswer: 108, 14, 1.68, 1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7\/28)\/((-3)\/(-4)*14\/(-42)). Is -5\/143 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-5)\/3)\/(44\/(-24)). Is 1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 + -18. Suppose -6*p + 58 = -p - 2*z, -5*z - 50 = -3*p. What is the remainder when (518\/h)\/((-2)\/6) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37 times -1.9\nAnswer: 70.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33581926859 + -33583312727.9969. Let s = o - -1385943. Let w = -74 + s. Round w to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k + 9 - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -11001101101101000 (base 2) to base 16\nAnswer: -19b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 87.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 66258123 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*2\/(-8)*18\/(-24).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11112 - -11114. Let h = -12 - -11.6. Which is the nearest to 0?  (a) -5  (b) h  (c) 1\/7  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/20 + ((-25)\/70)\/((-20)\/14). Which is the nearest to -5?  (a) j  (b) -2  (c) -0.3  (d) 20\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -6, -37, -70, -105, -142, -181?\n\"Answer: -s**2 - 28*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 0*f - 2*f - 12 = 0, -f = -2*k + 9. Solve -16*r - 15*r**2 + 24*r**k + 0*r**4 - 26*r - 4*r**4 + r**4 = 0 for r.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/8, 0.4, -255, 14143 in descending order.\nAnswer: 14143, 0.4, -1\/8, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6)*b**(-1\/12))**12\/(b*b\/((b**(-8)\/b)\/b)*b**(-2\/7))**3 assuming b is positive.\nAnswer: b**(-757\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000662479 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4254777 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23584.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - -3 - (-4 - (-44)\/8). Factor 1\/2*n**3 - d*n + 1\/2*n**2 - 1\/2.\nAnswer: (n - 1)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.01 + -6.01. Sort s, 0.4, 7.\nAnswer: s, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, i: 10, h: 2}. Give prob of sequence he.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7318?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 173712\/4927 greater than 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 3*m - 26 = -3, 4*m = 20. Suppose -w*c + 5 = g - 2*c, 0 = 5*g + 2*c - 17. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 + 0 + 33 + (-1 - -1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -9. Let d = -0.3 + -4.7. Let j = 7 + d. What is the biggest value in x, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 3540.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 34030735 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1332 + -123013?\nAnswer: -124400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 65 + -63. Suppose 0 = 2*v + 6, -284 = -2*f - a*v + 4*v. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -187, -10 in descending order.\nAnswer: 2\/9, -10, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -170 - -299. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 25\/10*(4 + -2). Sort h, 0.1, -4 in increasing order.\nAnswer: -4, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 84152361 to the power of 1\/3, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/3  (b) -13\/11568  (c) 3\/7  (d) 2  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**3 + 21*y**2 - 88*y + 1874. Determine n(13).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from jjjjqq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 7, y: 3, p: 2}. Give prob of picking 1 m and 1 p.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61*i + 104*i + 111*i + 105*i + 111*i - 499*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7036, -14074, -21112, -28150, -35188, -42226?\n\"Answer: -7038*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105113 is divided by 1051?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 140636 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - 2*q**2 + 57*q - 8. Determine u(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.0291 or -634?\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2430305, 2430302, 2430303, 2430308, 2430317?\n\"Answer: 2*z**2 - 9*z + 2430312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/60, 0, -1\/5, -2\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.05, -4, 1 in descending order.\nAnswer: 1, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.037 times -39?\nAnswer: -1.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -3435, -2 in descending order.\nAnswer: -2, -7, -3435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b. Let w(y) = y. Let d = -28 - -30. Calculate d*s(q) - 7*w(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 33005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 100 and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -500*y**4 + 5778*y**2 - 12316682*y wrt y.\nAnswer: -6000*y**2 + 11556","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 88 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -137*a**2 + 621*a**2 - 72*a**2 + a**3 - 111*a**2 - 137*a**2.\nAnswer: a**3 + 164*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d**3 - 195*d**2 - 1030*d - 1320 = 0 for d.\nAnswer: -33, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1519\/(-1457) + (-16)\/(-376). Put s, 6, 16, -4 in descending order.\nAnswer: 16, 6, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13672?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 244 (base 6) to base 2\nAnswer: 1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 732195264 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66 divided by -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 9023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3 - 1084721*b**2 - 2169439*b - 1084719.\nAnswer: -(b + 1)**2*(b + 1084719)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78712063?\nAnswer: 78712063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(13) - (2 + sqrt(832))))**2.\nAnswer: 28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 23\/4 in 2\/3, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/s**(-2\/7)))**(-8)*(s*s*(s\/s**5)\/s*s)\/s*s**(-4) assuming s is positive.\nAnswer: s**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1177 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 213130 - 12?\nAnswer: 213113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-33)*((-177)\/1416)\/(4\/((-64)\/(-54)))?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -581*i - 11947. Give p(-21).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 - 24 = 13*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*z = 22*z - 2*p - 35, 3*p = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 47  (b) 1\/3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -3\/94  (b) -2  (c) 1\/4  (d) 1832  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52 and 50180.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 AM and 11:24 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 1:20 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 55 and 88055.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6512, -6508, -6504, -6500, -6496, -6492?\nAnswer: -6488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 4*s. Let p be i(6). Let x = -18 - p. Let j(v) = v - 6. Let b(a) = -2*a + 11. Let g(o) = x*b(o) - 11*j(o). Let n(d) = -3*d. Calculate n(g(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3*z = -33, 2*z + 14 = -p - p. Let v be p + 131 - 2\/((-1)\/(-1)). Let j = 71 + v. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*m - 17*m - 642. Suppose -3*u + i = -5*u + m, -3 = -i. Suppose 4*v - 35 = -11. What is the remainder when u is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186801626 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/((-960)\/13050))\/15.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 88921 - -6?\nAnswer: 88927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8902575s in days?\nAnswer: 0.00001030390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26619906 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -11*t**2. Let q(l) = 9*l. Calculate v(q(u)).\nAnswer: -891*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*(w*w*(w\/((((w\/(w*w**(-1\/13)))\/w)\/w)\/w))\/w*w)\/w*w*w\/w**(-3\/14)*w*w*(w\/(w\/(w\/(w**(-13\/3)\/w)*w*w*w)))\/((w*w**32)\/w) assuming w is positive.\nAnswer: w**(-6841\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - 34*d**2 + 33*d + 7. Let h be w(33). Let u(z) = 4*z**2 + 3*z + 2. Let q(l) = -9*l**2 - 6*l - 4. Determine h*u(t) + 3*q(t).\nAnswer: t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-222)*(1 + 12 - (-8 - -18)).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l + 1 - 1 + (1 - 1 + 5)*(2 - 1 + 3)*(-l + 8*l + 5*l).\nAnswer: 242*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = -44*r - 109 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 3:26 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -1, -249?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, u: 8, q: 1}. Give prob of sequence uu.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (56 - (54 + -13)) + 1 + -35?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3.24 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -612 - -6089\/10. Which is greater: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 11) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, n: 6, u: 2, r: 2}. Give prob of picking 1 l and 1 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5807, 11634, 17485, 23360?\n\"Answer: 12*w**2 + 5791*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.047 - 0.213. Let z = o + 2.26. Sort z, -2\/3, 1\/5.\nAnswer: -2\/3, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 829\/4  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*m - 23*m + 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -104 - -106. Let r(t) = -9 - t**p + 28 - 19. Let l(j) = -29*j. What is r(l(x))?\nAnswer: -841*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1689 + -1687. Let l be -1*2*6\/(-4). Suppose 0 = -l*d - 12, w*i - 4*d - 208 = -2*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*v - c + 4 = 6*v, -4*v - c - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - -7. Suppose 0 = p + p - w. What is the highest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 135802, 271627, 407452, 543277?\nAnswer: 679102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 + 7*q**2 + 4*q - 6. Let i be j(-6). Let l be -1*(1 - 1 - -3) + 15. Calculate the highest common divisor of i and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -15, 2, -20, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 116 + -241. Let m be (330\/c)\/(-11)*5\/3. Factor 0*w + 2\/5*w**4 + 0 - m*w**3 - 2\/5*w**2 + 2\/5*w**5.\nAnswer: 2*w**2*(w - 1)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 + -1 + 11)\/1. Suppose 5*h = 3*b - 5*b + 194, -5*h = 3*b - 191. Let m = 88 - h. What is the greatest common divisor of p and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 286 and 4030.\nAnswer: 44330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 22621472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2322*j**2 + 15765*j**3 - 2322*j**2.\nAnswer: 15765*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92625914.\nAnswer: 2, 46312957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -387*z**3 + 225 wrt z.\nAnswer: -1161*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of 11*p**2 + 0*p**3 - 1\/90*p**5 + 0*p**4 - 1\/180*p**6 + 0 + 1\/315*p**7 + 0*p + 1\/504*p**8. Factor f(i).\nAnswer: 2*i**2*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-7)*p\/(p\/(p\/p**(-13)*p)))\/(p**6*p\/(p**(-2\/45)*p)) assuming p is positive.\nAnswer: p**(88\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2633842, -2633843, -2633844?\nAnswer: -2633845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**2\/(o*o**(-5\/3))*o**14\/o**(10\/3) assuming o is positive.\nAnswer: o**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 39194, 78069, 116944, 155819, 194694, 233569?\n\"Answer: 38875*r + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/9 + 2 + 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21532*i**4 + 12*i**3 + 2*i**2 + 1160562*i wrt i.\nAnswer: 258384*i**2 + 72*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jr when two letters picked without replacement from tppraxj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -322, -1284, -2884, -5122, -7998, -11512, -15664?\n\"Answer: -319*b**2 - 5*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3406, 6092, 8782, 11476, 14174, 16876, 19582?\nAnswer: 22292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**2\/11 + 16479*z\/11 + 2998280\/11 = 0?\nAnswer: -16295, -184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 7*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.8 + -2.2. Let p = 10.6 + i. Put -4, p, -1\/7 in decreasing order.\nAnswer: -1\/7, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -25 + 6 + -1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 5:04 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 48*q. Let m(y) = -3*y**2. Determine m(z(r)).\nAnswer: -6912*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (102 - 114) + (0 - -9) + -3 + 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 + 103*q**2 - 376*q. Let o(h) = -2*h**3 - 2*h**2 + h. Let z(k) = -d(k) + o(k). What is the second derivative of z(i) wrt i?\nAnswer: -18*i - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91837 = -43*u - 14584 + 24141. List the prime factors of u.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4012 = -392*t + 80*t + 8468 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 64*u + 16*u - 10*u + 12*u - 4*u. Let w(o) = -97*o**2 + 2. Calculate w(h(i)).\nAnswer: -590148*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 0.4, -8.4, -2, 1\/3, -27?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 - 110*t**2 - 221*t - 348. Determine i(112).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 134*o - 12459. Determine q(93).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-21) - (-122)\/42.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(10\/((-50)\/15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus -7.23?\nAnswer: -8.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 3*y**2 + y - 2. Calculate the remainder when (-399)\/(-33) - 1692\/1551 is divided by o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 254291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 43, 72, 119, 190, 291?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 1666*s**2 - 1. Let h(a) = 7*a**2 + 4*a**2 + 2*a**2 + a**2 - 15*a**2. What is x(h(q))?\nAnswer: 1666*q**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 362 = -5*t, -5*a + 0*a = 15. Calculate the remainder when 350 is divided by t.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -662 - -662. Let z = -2.9 - -3. Which is the nearest to z?  (a) p  (b) -1  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1014 - 32*m**2 - 1014 + (2*m + 0*m + 0*m + 0 + 0 - 2*m + (2*m + 4 - 4)*(-1 + 4 - 1))*(-5*m - 14*m + 21*m + 10).\nAnswer: -24*m**2 + 40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g - 12. What is d(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2 times 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/3, -2\/15, 1\/23?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/5, 0, 5515, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 4*r + 10. Suppose 2*h - 34 = -r*y, -4*y = -4*h - 60 + 16. Let n(p) = -2*p**2 + 20*p - 17. What is the remainder when n(3) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(704))**2 + 2 + sqrt(176).\nAnswer: 4*sqrt(11) + 706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wkgg when four letters picked without replacement from kkkggwwwkkkk?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*25\/(-80)*(-24)\/(-440).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30.589 - -30.4. Let p = -0.111 + q. Which is the second biggest value?  (a) p  (b) 5\/2  (c) -0.2  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -163*g**2*i - g*i - 620*i + 1 wrt g.\nAnswer: -326*g*i - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6631, -6638, -6657, -6694, -6755, -6846?\nAnswer: -6973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19 - -20. Suppose 3*v - 19 = 2*s, 2*s = -0*s + 8. What is the units digit of ((-12)\/v)\/(m\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 703211*b. Let j(s) = -2*s**2. What is j(h(q))?\nAnswer: -989011421042*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14.42 - 67.48. Let m = -62273180.100329 + 62273262. Let f = d + m. What is f rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 287 - 127. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 5*i + 76 = 0. Let m = i - -40. Let f(g) = 2*g - 5. Let s be f(m). Is -3 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 7:24 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 4*d - 20 = -3*n, 19 = 3*n + d. Let q = 173 - 15. Suppose -q = -4*m + c, 4*m = -c - 3*c + 168. What is the highest common divisor of m and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 934339477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -2. Let x(b) = 1 + h - 1 + 3*b. Let n(y) = -6*y + 3. Let p(d) = -11*d + 5. Let q(z) = 5*n(z) - 3*p(z). Determine x(q(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 - 7*f + 8. Let y(x) be the second derivative of -x**4\/12 - 7*x**3\/3 - 10*x**2 + x - 44. Let k be y(-13). What is u(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(1872)*5 + 4 - sqrt(1872)) + ((sqrt(1872) + -4 - sqrt(1872) - sqrt(1872)) + -4 - sqrt(1872)))**2*-5 + 4.\nAnswer: -187596 + 4800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 4*g**3 - 18*g**2 - 9*g. Let w be s(5). What is the closest to -2\/7 in 4, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75891?\nAnswer: 3, 41, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -95 - -95. Solve 5*a + 11 + 4 = w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*i + 101 = 3*x, 2*i - 5*x = 146 - 153 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -4214*k + 79986. What is y(19)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 110 + -69. Let d = k + 40. Is d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5608238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*p - g = -41, -50 = -5*p + 2*g. Suppose 4*c = -4*n + p, -c = c. Factor -5 - n*y**2 + 61*y - 22 - 43*y.\nAnswer: -3*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101011011101 (base 2) to base 10.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = m, -x + m + 7 = 1. Suppose 15 = 5*b - 5*h - 0, -x*b = 3*h + 19. Put 2, b, 4, -3 in decreasing order.\nAnswer: 4, 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(528)*2)\/sqrt(11) - (6*1*sqrt(3) - (sqrt(27) + -2 - sqrt(3))).\nAnswer: -2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -5. What is the first derivative of 1 - 8*r**3 + w*r**2 - 6*r**2 + 4*r**2 wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 550536564 to the power of 1\/2, to the nearest integer?\nAnswer: 23464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, 0.5, 0, -18, -2\/21, 0.1 in descending order.\nAnswer: 22, 0.5, 0.1, 0, -2\/21, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -105032 (base 6) to base 15.\nAnswer: -296b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -98*b + 190*b - 460. Sort 121, -5, -1, b, -18 in descending order.\nAnswer: 121, b, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**3*n*n**(-3\/2))\/(n**5)**36 assuming n is positive.\nAnswer: n**(-353\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence scss when four letters picked without replacement from ssscccs.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 12, -4*i = -2*m + 12 - 0. Let s(l) = l**2 + 2*l + 6. Let v be s(-3). Let d be (-4)\/(-4) - (7 - v). Is d > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532.74262 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 55773042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {d: 1, q: 18}?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - k - 4 = 3*k, 21 = 3*a - 3*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - -8. Let q(w) = -w**3 + 6*w**2 + 4*w - 1. Suppose 5*r + 0 = 30. Calculate the remainder when q(r) is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - -67) + (144 - 189)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*u - 4*s = -104*u + 9 - 6, 13*u - 40*u + 2*s + 81 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10221444.\nAnswer: 2, 3, 31, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b + b - 5 - 4*b - 1.\nAnswer: -2*b - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - c + 4 = 3*c, -2*n - 5*c = -5. Let z(s) = s**2 - 6*s + 2. Let y be z(6). Solve -5*q = -2*h - n - 8, -y*q + 6 = 2*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1627*p*r**4 - 120*p*r**3 - 202898956*p*r**2 + 2*r**4 - 37*r**3 wrt r?\nAnswer: 39048*p*r - 720*p + 48*r - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**2 + 2*q - 3. Let l be n(-2). Let j = 148\/3 + -742\/15. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1124731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3786 - 3782. Let j(h) be the second derivative of 4*h - 5\/6*h**z + 0*h**3 + 0 + 0*h**2 + 1\/4*h**5. Solve j(l) = 0 for l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 136 and 9384.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, 1, 4, -2960, 2 in increasing order.\nAnswer: -2960, -24, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3124*d**2*x**3 + 6231*x**3 - 2*x + 2 wrt d?\nAnswer: 6248*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1464753 + 821492. Let h = b + -130378036\/57. Let c = -1089 - h. Find the common denominator of c and 43\/3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 361593 to the power of 1\/2, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-6))\/(6\/9). Let o = -10.7 + 10.8. What is the closest to p in -2\/7, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*o = -20*o - 846. What are the prime factors of o?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3113 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 26*p**3 + p**2 - 8*p + 9. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6496434.\nAnswer: 2, 3, 7, 47, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence epw when three letters picked without replacement from dwewwqdepwpwewdwe.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -72 in -11.5, 3, -0.3, -0.4?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 2*j - 46, -5*i - j = -122 + 19. Suppose -6*c + 228 + 234 = 0. What is the remainder when c is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -7*n + 6. Let m(w) = 8*w - 7. Let q(r) = 6*m(r) + 7*y(r). Let b(u) = 5*u. Calculate q(b(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -1.4. Let w = -1.07 + 15.37. Let t = w - 9.3. What is the nearest to 1 in 0.5, x, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2396, 3, -3, -2, 29, -5 in ascending order.\nAnswer: -2396, -5, -3, -2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 7 + 11. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 13525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r + 2*v - 86 = -0*v, -179470 + 179437 = -4*r - 3*v for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 505052805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a = -25*a + 8008. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 AM and 4:56 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72925548?\nAnswer: 2, 3, 23, 163, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 5884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (7 + -6) - -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 - 103?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-32\/7)\/((p*p**33)\/p))**(-1\/2) assuming p is positive.\nAnswer: p**(263\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-6)*(525 + 9). Find the second derivative of -104*h + 122*h**3 + w*h**3 + 272*h wrt h.\nAnswer: 1800*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-132)*6 - ((-730)\/11 + 7).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10118*4\/8*-1. Let n = -35559\/7 - t. Let x = 2204\/105 + n. Which is the third smallest value?  (a) 0.3  (b) -5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 318 - 322 = 0. Solve 0 = 5*n - v*o - 13, 1 - 2 = -o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8721497414.79 - 16.\nAnswer: -8721497430.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -8*j**2 - 10*j**2 + j**2. Let p be 15 + -2 + (-1 - 7). Let r(u) = -u - 6. Let l(w) = -2*w - 30. Let o(c) = p*r(c) - l(c). Calculate x(o(n)).\nAnswer: -153*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19\/33 + 10\/11. What is the nearest to 0 in 5, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1531454 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 1. Let r be f*(-1)\/(-2)*-6. Do 10 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 72\/11 + -543\/88. Let f = -2.5 - -0.5. Let o = -3 - f. What is the closest to o in y, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/3*5\/10)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, t: 7, y: 3, u: 5, h: 1}. Give prob of sequence thc.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 + -20. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 3 - (2 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/5*3*1\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(2052))\/(sqrt(21)\/sqrt(448)))**2 - (-1 + sqrt(2299) + 0 + 0 + sqrt(19) + sqrt(95)\/sqrt(5))**2.\nAnswer: 26*sqrt(19) + 171892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*a = -100 - 2, s - 2*a = 36. Let t = -5 + 21. What is the remainder when s is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*y**4 + 280*y - y**2 - 280*y wrt y.\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 49 - 35. Let k = 19 - t. Let m = 7 + -7. Solve -k*s = 4*o - 8*s - 1, m = -4*o - 5*s - 23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 4) + -5 - (-5 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-6) + (-214)\/(-6). Let r(n) = 10*n - 735. Let a be r(77). Calculate the highest common divisor of v and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of 2 - a + 3\/4*a**4 + 0*a**3 + 0*a**2. What is the first derivative of l(k) wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4 + 67*x**3 - 445*x**2 - 17451*x - 74970.\nAnswer: -(x - 51)*(x - 30)*(x + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 3\/73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0019015996 to five decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-3 - (-1 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oqqr. Give prob of sequence oq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29 + 29.26. Let j = v + -0.56. Which is the smallest value?  (a) -1  (b) 0.6  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 14*y - 11. Let t be (-42)\/(9\/(-3))*1. Let v be r(t). Calculate the common denominator of ((-5060)\/24)\/v - 1 and -65\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 15, 46, 97, 168, 259, 370?\n\"Answer: 10*k**2 + k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 347?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 + 10*c**2 - 5*c - 5. Let k be r(8). Suppose 2*f = -5*v - 231, -v - f - 2*f - 41 = 0. Let b = k + v. Solve -y = 4 - 8, -5*g + 4*y - b = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 762.5659 nanograms?\nAnswer: 0.0000007625659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 102374383691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 8*q**2 - 10*q - 9. Let c be x(-9). Suppose c = i - 0*i - 3. Suppose -49 = -i*l + 2*p, 2*l - p - 12 = 20. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 182303, 182842, 183755, 185054, 186751, 188858, 191387?\nAnswer: 194350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 minus 0.03989?\nAnswer: -0.73989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -15. Suppose -o = 9*t - 14*t. Factor 0*p + 2\/7*p**t + 4\/7*p**2 + 0.\nAnswer: 2*p**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2508214 and 442626.\nAnswer: 7524642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -8849  (b) 0  (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -599 - -20963\/35. Find the common denominator of 1\/70 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/21 != 633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 219\/4, 1\/4, -0.5, 1\/43 in descending order.\nAnswer: 219\/4, 8, 1\/4, 1\/43, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 14913.554 and -1?\nAnswer: -14913.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -2*l**2. Let r(m) = -2 - 10 - 7 - 6 + 23 - 50*m**2. Give r(j(u)).\nAnswer: -200*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/25737 and 29\/322.\nAnswer: 360318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 752*o + 58792. Determine m(-79).\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -236*w - 20254. Determine v(-89).\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 d, and 1 q when three letters picked without replacement from dppdqdppddqdpdp?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, g: 3, e: 1, y: 4, v: 7}. What is prob of picking 1 y and 2 b?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**3 + 62728*r**2 - 245862384*r - 491975712.\nAnswer: -4*(r - 7842)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -82383618860 less than 209?\nAnswer: 82383619069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208 = -14*b + 10*b. Let c be -4 + -5 + 3 + b. What is c rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -129209\/3342 - 5\/1114. Let b = -39 - d. Is -4 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 140454156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/((-63)\/12))\/((-60)\/(-140))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(4\/7)*d)*d)**(-44)\/(d*d**(-3)\/d)**(-27) assuming d is positive.\nAnswer: d**(-699\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 5*k**4 + 1265*k**3 - 29925*k**2 + 92755*k + 929500 = 0.\nAnswer: -275, -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -487a0 - -10?\nAnswer: -48790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -0.6. Let o = 4.4 + d. Let i = 11 + -16. Which is the second smallest value?  (a) o  (b) -0.3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1216\/760)\/(4\/25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 14. Let r = 0 + u. Let o be r + -1*(-4 + 1). Is o smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-119*c + 340*c - 125*c - 112*c - 83)*(2 + 4 - 4).\nAnswer: -32*c - 166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 640900909 to the nearest integer?\nAnswer: 25316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12293 is divided by 1722?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40120, -40118, -40116, -40114, -40112?\nAnswer: -40110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - (3 + 3\/(-1)). Suppose 0 = -f, -3*k - f - 7 + 1 = 0. Is y greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32326 + -19541. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -5*p - 25312, 0*o = 3*o - p - 12644. Calculate the greatest common divisor of 208 and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 19 = -6. Let n be -5 + -3 - (-175)\/25. Suppose 4*s - 2*s = -14. Sort v, s, n in ascending order.\nAnswer: s, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 10*(10\/(-60))\/(1\/(-3)). Let b(o) = 12*o + 69. Let n(g) = -25*g - 140. Let a(i) = u*b(i) + 3*n(i). Find the first derivative of a(l) wrt l.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(720)*-1 + sqrt(720) - sqrt(720)))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -112 + 134. Suppose -7*l + 12*l - 3*h - 62 = 0, -3*h = -l + n. Let b be 24\/(-3)*(-30)\/8. Calculate the greatest common divisor of l and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -405 - 0.8\nAnswer: -405.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (1 - -3) - -6. Suppose x*f = -4*o + 206, -o - 3*f = 4*o - 259. Let m = o + -370\/7. What is the second biggest value in -3, -4, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 + 9*s**2 + 12*s + 19. Calculate y(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28 and 65642.\nAnswer: 918988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -2*z. Let a = z + 6. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*z - 24 + 18 + 87 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ebrb when four letters picked without replacement from {r: 7, p: 1, e: 1, b: 3}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 6. Let z = -1230 + 1231. What is the second biggest value in -0.3, -1\/2, z, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1294888207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 14959*h**3 - 2*h**2 + h + 5. Is p(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32918 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 10 = 4*s - 3*h, 3*h + 20 = s. Suppose 36 = s*j - 4*y, 5*y = 30*j - 25*j - 35. Solve -25*v + 21*v - j = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 354 = 10*l - 426. Calculate the greatest common divisor of 130 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 - 29*r + 86. Calculate u(26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + l + 76 = -4*h + 11 - 14, 4*h - 6*l - 504 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c676 + 5?\nAnswer: c67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 4317551?\nAnswer: -4317551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the first derivative of 4*b**6\/3 + 3*b**3 + 5. What is the third derivative of z(k) wrt k?\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -30*s**2 + 7*s. Let o(j) = -91*j**2 + 23*j. Calculate -7*i(k) + 2*o(k).\nAnswer: 28*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8*(21\/7 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3119 or 18715\/6?\nAnswer: 3119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 7, -1, -3 in decreasing order.\nAnswer: 7, 2\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*q**3 - 18*q**2 + 31*q**2 + 112*q**3 - 13*q**2.\nAnswer: 146*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 16*j**2 - 14*j + 31. Let b be q(-13). List the prime factors of 21*b\/(-9) - (0 + 2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 72 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 5*d - 6. Let k = -17 - -24. Let g be q(k). Let c = -23 + g. What is the greatest common divisor of 54 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 9. Let p(u) = -u - 1. Let i be p(-1). Let v be n(i). Find the common denominator of 103\/6 and (v\/(-45))\/(16\/(-185)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 2*i - 2*m - 10, 0 = -2*i - m - 2. Let p = 2 + i. Suppose 8*l - p*l = 185. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3622623 + 6192372. Let n = d + -1387332. Suppose -2317583 - n = c. What is c rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 9:08 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -295.38013186 + 3.38053786. Let w = -2.09 - -294.09. Let l = w + h. Round l to 5 dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 3326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218*w = 221*w - 5*q - 2299, -w + 5*q = -743. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25 and 450.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 32256 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: Suppose -4*u + 3 = 3*j - 6*u, 3*u = -5*j - 14. Let m be (10 + -11)\/(3*j). Suppose -m - 16\/3*p**2 + 8\/3*p = 0. What is p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2*g**3 + 3*g**2 + 4*g - 3. Let u be n(-3). What are the prime factors of (-15)\/(-5 + 0) - u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b + 0*b - 4*b)*(-4*b + 4*b - b) + 3*b**2 - 4*b**2 + 4*b**2 + (3*b**2 + 3*b**2 - 5*b**2)*(-2 + 0 + 1).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 4*a. Let b(l) = -l**2 - l. Let m(y) = -y + 34. Let g be m(31). Calculate g*v(w) - 12*b(w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6852)\/8565*(-10)\/4. Solve 0 - 1\/8*l**y - 9\/4*l = 0 for l.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -r - 4, -19*q + 22*q = -2*r + 34. Let n = -11 - -18. Let a = -4 + n. Solve r*x - a*x + 25 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/12 != 1412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 3*g**2 - 5*g - 4. Let r be h(-1). Let q be 39\/(-143)*r\/(-3). Factor 0*s - q*s**2 + 0 + 1\/11*s**3.\nAnswer: s**2*(s - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2748, -2735, -2722, -2709?\n\"Answer: 13*u - 2761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -2*b + 8, -5*b - 2*x - 130 = -0*x - 136 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-7) - (-80)\/(-112). Let z be -8 - -13 - (-2)\/g. Solve z*u + 18 - 6 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 5*a + 40. What is the hundreds digit of u(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - d**2 + 2*d. What is b(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -47621, 4, -4, -8, -3, 3 in increasing order.\nAnswer: -47621, -8, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-7 - (-9 - 56\/(-48)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -162 divided by -4.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 212026 - -3?\nAnswer: 212032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(3\/5))**(-5)*(u\/((u**5*u)\/u))\/u*u**24)**(1\/5) assuming u is positive.\nAnswer: u**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 476 divided by 119?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 2:40 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {q: 1, x: 1, s: 2, n: 2, l: 1, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -151437520 divided by 310960?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from rfrxfx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42063\/10015*(128\/14)\/4?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 6*w**2. Let d(i) = -4*i**2 + i + 106. Give d(x(l)).\nAnswer: -144*l**4 + 6*l**2 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1580316403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.4, -1\/11, 4, -1\/3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 33.82 from 0.9.\nAnswer: -32.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + k + 809, -5*p - 2*k = 539 + 269. Let c = p - -305. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(378)\/sqrt(6) + 3*(sqrt(7) - (0 + sqrt(7)) - sqrt(7))**2)*-1 + ((3*sqrt(4200) - sqrt(4200)) + sqrt(4200))\/((sqrt(108)\/sqrt(6))\/sqrt(3)).\nAnswer: -17 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4 and -1610.\nAnswer: -1609.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 110719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - x - 3 + 5)*(0 - x + 0) + (-2 - 3 + 6)*(-2 + x**2 + 2) + 2*x**2 - 3 + 3 to i*x + r*x**2 + z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -191862 + -64.27.\nAnswer: -191926.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 9)\/((-10)\/(-7)) + -5. Let m = -0.1 - -0.1. Which is the closest to -2?  (a) -3  (b) m  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -310*b + 6821. Let s be g(22). Solve 10*z = 9*z + s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - u**2)*(1 + 2 - 4) + (5*u**2 - 3*u**2 + 20*u**2)*(1 + 0 - 2) to the form t*u**2 + m + h*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, p: 1, y: 1, a: 2, d: 1, t: 1}. What is prob of sequence ar?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 11:06 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1908 - 1907. Let z = -3.35 + 0.35. Which is the biggest value?  (a) q  (b) z  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -5*y - 6. Let x(v) = -9*v - 11. Let a(m) = -11*d(m) + 6*x(m). Let n(c) = -11*c + 10*c + 8*c. Give n(a(s)).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*l - 0. Let u(z) = -849*z**2 + 7*z. Let v be u(l). Let y = v - -23062. Round y to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 13500 and 16650?\nAnswer: 499500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1530369 and -133157.\nAnswer: -1663526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-4 + (4*(0 + sqrt(180) - sqrt(180))*3 - 5*(4 + sqrt(180)*1)) + -3) + -3)**2.\nAnswer: 39600*sqrt(5) + 129924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.749512 centuries in millennia?\nAnswer: 0.9749512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4599.951 - -4600. Sort z, 0.2, 6\/13 in ascending order.\nAnswer: z, 0.2, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*x**2 + 127996426*x + 51198572.\nAnswer: -2*(x - 12799643)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8 or 5.6203?\nAnswer: 5.6203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3139 - -4435. What is the greatest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**2 - 3. Let w(m) = m**2 - 1. Let z(p) = -q(p) + 3*w(p). Let g(n) be the second derivative of 2*n**3 - n. What is g(z(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -123 - -123. Solve q*m = -4*d + 2*m + 2, 0 = 4*m - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*c - 23*c. Is c at least 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104581 and 7245?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-47 - 0) + (-15 - (-15 + 11 + (-20 - -13))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.0246 + 0.0246. Which is the third biggest value?  (a) 3\/10  (b) -0.1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = 20*q - 158. Calculate the smallest common multiple of q and 316.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1456429134 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/47414 and -95\/18.\nAnswer: 426726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 63 = -4*b, 2*b = m - 9 - 2. Suppose o - 33 = 1. Calculate the highest common factor of m and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -13*r. Let d(o) = -44*o - 7. Let f(p) = -d(p) + 3*m(p). What is f(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-30)\/(-12)*7268\/5. Suppose 2*z = 4*u - i, u + 1808 = 3*u + 2*z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 10910 = -2*d + 22438, 4*w - 33364 = -4*d. What are the prime factors of w?\nAnswer: 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -5*g**3 + 50765*g**2 + 203120*g + 203140 = 0.\nAnswer: -2, 10157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.5, 6384\/13, -1325, -0.4?\nAnswer: -1325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 10:02 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2328, 2306, 2284?\n\"Answer: -22*r + 2350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 20, -90 = l + 4*l + 3*t. Let f = 199 + l. Suppose 3*x - f - 26 = 0. List the prime factors of x.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, k: 2, p: 1, y: 1, n: 1}. What is prob of picking 1 n and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2*y = 858, -2*g - 2*y = -0*g + 1698. Is g\/(-21) + 12\/(-21) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 102*r - 74 - 41 + 46 + 3*r**2 + 168.\nAnswer: 3*(r + 1)*(r + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -d2?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**0)\/h)\/h**(-5\/2))**30*(h**(-2\/19)*h*h\/(h*h**(-8))*h)**(-48) assuming h is positive.\nAnswer: h**(-7599\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -132 - -136. Solve -n + 28 = -2*n + 5*v, 0 = -2*n - z*v + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20918 - 1950*v**4 - 14870 - 3206*v**4 with respect to v.\nAnswer: -20624*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-603)\/45)\/((-1)\/5)*1?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w**2 + 0*w**2 - 62*w - 89*w + 2*w + 41*w. Let b(f) = -8*f. What is b(a(n))?\nAnswer: -16*n**2 + 864*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -516?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -832.3 times 0.2?\nAnswer: -166.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*q - 9*q - 477 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, n: 1}. What is prob of picking 2 p and 1 n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -m**5\/70 - m**4\/42 + 5*m**3\/21 - 3*m**2\/7 + 3*m. Determine r, given that t(r) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06427 * -0.052203\nAnswer: -0.00335508681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*c**2 - 12 + 88*c**2 - 46*c**2.\nAnswer: 4*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 273024 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -213*s**2 - 304*s - 2 wrt s?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5c (base 14) in base 10?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1889044063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/497263 and 13\/60674.\nAnswer: 22874098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-39)\/(-6) - 0)*(-50 - -48).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7784 or -76\/443?\nAnswer: -7784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7799 - 2?\nAnswer: 7797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 equal to 131\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (32\/80)\/(4\/(-165)) and -38\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*12\/(-90))\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -5*f**2 - 5*f - 5. Let j(a) = 7*a + 1 + 6*a - 3*a - 12*a + 3*a. Suppose -3*n - 2*s + 15 = 0, 4*n - 27 = -3*s - 7. Calculate n*j(y) + u(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 49 - 286. Let m = 30 - c. Suppose 4*h = 5*t - 28 + m, -81 = -5*h + t. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(2\/5)*w))**(-6\/7)*(w\/(w*w**(-1)))\/(w*w**5*w) assuming w is positive.\nAnswer: w**(-198\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(171) + 3*sqrt(171)) + sqrt(171))\/((sqrt(90)*2 - sqrt(90))\/sqrt(10)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*v**2 + 0*v**2 - 4*v**2)*(-888 + 3*v + 888 + 56*v**2) to d*v**2 + t*v**4 + b + m*v + o*v**3 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeiiieiiwidi. What is prob of sequence dewe?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13.5 + -15.5. Which is the third smallest value?  (a) k  (b) -1\/4  (c) -5  (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + w - 6388 = 0, -6040 = -3*n + 4*w + 358. What is the units digit of n\/6 - (17 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -4*j**2 - j - 1. Let q be d(-1). Let p = q + 4. Solve p = l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.194 - 18.806. Is 0.2 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -394 = 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - 5*o**2 + o - 1. Let n(x) = -x + 7. Let m be n(4). Suppose -2*v = 3*z + v - 15, -m*z - 4*v = -15. Calculate y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2\/5 + 87429*z\/5 + 4451076\/5.\nAnswer: 3*(z + 51)*(z + 29092)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 564561 divided by -64?\nAnswer: -564561\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 - 2*t - 1. Let u be b(3). Let x(m) = 5*m + 2*m**2 + m**3 + 4 - 9*m**u + 0. Calculate x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**2. Let o(x) = -x**3 - 7*x**2 - 2*x - 10. Let r be o(-7). Let t(n) = r*n + 1 - 1 + 0*n. Give t(j(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 y when three letters picked without replacement from {y: 6, s: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**3 + c**3 + 2*c**2 - 27*c**3)*(2 - 5 + 2).\nAnswer: 24*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 188*g - 417*g**3 + 127 - 19 + 84*g**2 - 417*g**3 + 838*g**3. Let h(m) = m**3 + 28*m**2 + 63*m + 36. Let o(k) = -8*h(k) + 3*r(k). Factor o(x).\nAnswer: 4*(x + 1)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -16*b**2 - 51*b + 34. Let y(k) = -3*k**2 - 10*k + 7. Let j(p) = -2*c(p) + 11*y(p). Give j(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -12*p**3 + 2*p**2 - 1. Let c be a(1). What is the lowest common multiple of (6 + c)\/((-2)\/4) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -2\/3, -3.1, 0.2, 118?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1453 - 1?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 4*l - 6, -4 = i - 3*l + 4*l. Let r = i + 4. Put 0, 4, r in decreasing order.\nAnswer: 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 30582443 = -39*l - 30580353 for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -60 + 67. Suppose -3 = 2*l + o, 0 = -3*v - 5*l + 458. What is the greatest common factor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1, 14, 5\/4, 2.23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67450 is divided by 187.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 13*o**3 - 20*o**2 - 5. Let x(m) = m**2 - 1. Let q(s) = -d(s) + 5*x(s). What is the third derivative of q(u) wrt u?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-36)\/(-6) + (-261)\/45. What is the third smallest value in 2, -3, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 20*m + 1. What is d(9)?\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/(-2))\/((-2)\/(-16)). Let o = 2269.95 + -2270. Sort o, s, 0.4 in ascending order.\nAnswer: s, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(27) + sqrt(3) + sqrt(9)\/sqrt(3) + 2.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y = -6, y = 3*q - 4. Suppose 6 - q = -2*f. Let n be (-1 + 10\/(-4))*f. Which is bigger: 6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 6146 = -33340. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1230 = -s - k, 4*s - 4878 = 57*k - 54*k. What is the smallest common multiple of s and 204?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7\/1061?  (a) -4  (b) 1.4  (c) 0.4  (d) 2\/11  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1147, 2213, 3199, 4105?\n\"Answer: -40*i**2 + 1186*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -15 - 3*z + 18*z + 15 - z**3. Let n be x(-4). Solve -1 = -5*k + n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o. Let j(u) = -76374678*u**2 + 3. Calculate j(z(p)).\nAnswer: -305498712*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -959 - -295715\nAnswer: 294756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -85*t**4 - 24*t - t**2 + 4*t**2 + 0*t**2 + 17*t wrt t?\nAnswer: -2040*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h**5 + 22*h**4 + 26*h**3 + 18*h**2 + 8. Let i(b) = b**4 - b**3 + b**2 + 2. Let d(c) = -4*i(c) + w(c). Suppose d(f) = 0. Calculate f.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 265 a factor of 147930950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 + 41*u**2 + 59*u + 146. Give l(-40).\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*c**2 + 0)*(-3*c**2 - 803*c + 335*c + 369*c).\nAnswer: -6*c**4 - 198*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 210\/225 - (-8)\/(-30).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*j**6 - 24190*j**3 + 888215*j**2 wrt j?\nAnswer: -960*j**3 - 145140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (76\/(-6))\/(24\/72). Let q = -24 - u. What is the remainder when 26 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8844 - 5404. What is the highest common factor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/4*-2 - (44 + -45). Suppose w = 4*d - 29*d + 37825. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 55*n**2 + 12*n. Let d(q) = -8*q - 3. Give i(d(r)).\nAnswer: 3520*r**2 + 2544*r + 459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 884\/51763?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b*b**1)**(-4\/5)*b**(-1)*(b*b**(-7))\/b assuming b is positive.\nAnswer: b**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/465 and -11\/32131500.\nAnswer: 32131500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (89\/(-1))\/(2 - (3 - 0)) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 + -11. Suppose -2*w - 2*q = -94, 28 + 56 = x*w + 4*q. What is the remainder when 310 is divided by w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -37, 25, -2, 4 in decreasing order.\nAnswer: 25, 4, -2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.16294 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 5 + 0)*(x + 2*x + 3*x)*(-239 - 52 - 234 + 119)*(0 + 7 - 6) to p + v*x and give v.\nAnswer: 4872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 98986.11 millilitres?\nAnswer: 98.98611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/15)\/((-28)\/700).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 6 + 7 - 3 + 3 + 1 + (0 - 4 + 3)*(0 + 0 - 2))*(-5*r + 3*r + 0*r)*(-1 + 1 + 1) to the form f + a*r and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p**4 - 38*p**3 + 78*p**2 - 38*p + 4. Let h(s) = -2*s**3 + 3*s**2 - s + 1. Let x(t) = -4*h(t) + m(t). Determine c so that x(c) = 0.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*y - 0*y. Suppose -1 - y = -g. Solve 0 = -g*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 12 = -23. Suppose 0 = -4*b - 0*m - 3*m + 89, 2*b = m + 57. Calculate the remainder when b is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5287 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2. Let q(r) = 3*r - 9. Give m(q(y)).\nAnswer: 9*y**2 - 54*y + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-2460)\/1640 + (-2)\/(-5) + (-9042)\/(-20) and 1?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18360 by -1020.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-15) + 30\/(-200)*-44.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, 7, 39, 93, 175?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4)*h\/(h*h**2))**(-16\/3)\/((h\/((h**1*h*h*h)\/h))**21*h**(1\/10)*h*h**(-6)) assuming h is positive.\nAnswer: h**(1687\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8.9501572 + 0.0500328. Let p = z + -9. What is p rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11681164 divided by 22?\nAnswer: 530962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 625 = 2*n, k = -2*k + 5*n - 613. Let z = k + 125. Is (2 + -3)\/(2\/z) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12.6*-0.11948.\nAnswer: 1.505448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -88*c + 13. Let y be w(-4). Let t = -1831\/5 + y. Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 57 + -54. Let p(t) = -4*t**2 - 11*t + 3. Let q(h) = 8*h**2 + 23*h - 5. Let v(r) = b*q(r) + 5*p(r). Find the second derivative of v(d) wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108693?\nAnswer: 3, 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7321910 or -7321952?\nAnswer: -7321952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1006 or -1003?\nAnswer: -1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -13628, -27256, -40884?\n\"Answer: -13628*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10023 and 36237?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than 2.833?\nAnswer: 6.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of -86*w**2 - 2\/75*w**5 - 2\/525*w**7 + 0*w**3 + 0*w + 0 + 0*w**4 + 1\/50*w**6. Suppose m(d) = 0. Calculate d.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3269396?\nAnswer: 2, 13, 62873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 27. Let w be k\/12 + 136\/48 + -3. Let y(m) = -m**3 + m**2 + m - 1. Give y(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 222222001 + 10?\nAnswer: 222222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n + 10. Let f be w(-8). What is the third derivative of -19*c**6 - 1133*c - 4*c**f + 1133*c wrt c?\nAnswer: -2280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 410090 is divided by 4276?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5393.908 millennia to centuries.\nAnswer: 53939.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - c**2 - 1. Let l(x) = -11*x**3 - x**2 - 9*x + 3. Let i(z) = -3*b(z) + l(z). Let o be i(-4). What is o rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2507469.\nAnswer: 3, 835823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 4 = -h. Let g = -2 + -4. Is (-302)\/g - h\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a + 4. Let i be w(5). Let n = 22 - i. Which is smaller: n or 14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117736211?\nAnswer: 59, 1995529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -84320243 rounded to the nearest one hundred thousand?\nAnswer: -84300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/7 - 6957548*v\/7 - 13915100\/7.\nAnswer: (v - 6957550)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 815*q + 2773 = -731*q + 1593*q for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*x + 1 + 30 + 9 - 40.\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 5:20 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(175) + 1*sqrt(175) + -1*sqrt(7) + 5))**2.\nAnswer: 360*sqrt(7) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21637110 is divided by 644.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 a when three letters picked without replacement from gkgaaggngkaogk.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 317886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = -7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*23\/((-46)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6411, -6410, -6409?\nAnswer: -6408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 538 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -4*d**5 + 776*d**4 + 13728*d**3 - 696832*d**2 - 18817024*d - 121503744 = 0.\nAnswer: -16, 36, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t - 1020 = -18*t. Does 34 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10202 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -13*x + 1925. Let t(k) = -4*k + 6. Give -l(q) + 3*t(q).\nAnswer: q - 1907","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -2*s**2. Let n(v) = -54*v + 92*v - 64*v. Determine n(w(u)).\nAnswer: 52*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 - -21. Suppose 3*k - 24 = -v. Suppose -k*s = d - 33, -s = -4*s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**3 + 4*w**2 + w + 7. Let h be g(-3). Let c = 20 + h. Solve -q = -5*l + 24, -2*l + c*l + 4*q = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*f = 11166 - 9318 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 - 9*c. Let j be i(-9). Let y(t) = -t + 10. Let v be y(-7). Let z = v + j. What is the greatest common factor of z and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -17*j - 240. Is ((-24)\/j + -1)*5*48647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of v**6\/120 + 4*v**3\/3 + 464*v**2. Suppose -6*h = -2*h. What is t(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/10)\/((-1)\/(-5)). Let r(f) = 4*f**2 + 4. Let m(q) be the first derivative of 1 - 1 + 9*q + 3*q**3 - 1. What is v*m(t) - 7*r(t)?\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 596, 651, 742, 869, 1032?\n\"Answer: 18*j**2 + j + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -5*l + 46. Let s be (18\/(-21))\/((-22)\/77). Suppose 5*v - l = -s. What is the remainder when 14 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -151210095*c**2 - 40404341*c.\nAnswer: -302420190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (31 - 39) + 24 - (5 - (-3 + 5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11353919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 - 6*p**2 + 3*p - 4. Let g be q(-7). Suppose 0 = -5*l - z + 1313, -l + 257 = -90*z + 91*z. What is the highest common factor of g and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-17 - -6) + (1 - -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -17. Let r = 2 + -2. Suppose r = 4*h - k, 0*y + h = y - 30. Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -3*y - 8. Let o(n) be the first derivative of -n**3\/3 - 4*n**2 - 7*n + 4. Let q be o(-7). Solve -y*i + k - 1 = q, 4*k - 2*k = -i - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 2. Suppose -4*m - l = -173, m + 4*l - 32 = -y*m. Suppose -3*t + 19 = n, -5*n - 3*t = -5*t - m. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38050 is divided by 4748.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6409489*i**3 + 100*i**2 + 3*i - 583 wrt i?\nAnswer: 38456934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 6207 = 1055. Calculate the greatest common divisor of 1196 and q.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cia when three letters picked without replacement from {o: 2, i: 1, c: 2, v: 1, a: 1, n: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2*r**3 - 2*r**3 - r**3 - 42517*r - 10*r**2 + 42499*r. Give c(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 5*b**2 - 5*b + 8. Let t = 4 - 10. Let n be i(t). Solve 0 = q + 5*s - 13, 5*q - n*s - 1 = 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.33727um to kilometers.\nAnswer: 0.00000001733727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 7:29 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1146 (base 7) in base 9?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.87615181 rounded to 3 dps?\nAnswer: 20.876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 15*r + 33. Let l(u) = -4*u - 4*u + 7*u - 2. Determine 2*g(z) + 33*l(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 104097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4297 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i + 4. Let v be (45\/(-12))\/(-5)*-4. Let o be u(v). What is the units digit of 1 + o + 3\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.261 and 0.098125?\nAnswer: 0.162875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -3. Let o = 56 - 62. Let c = n - o. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -97 + 2b?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(-2)\/420 + (-2043)\/(-23835).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 44273725 and -14.\nAnswer: -619832150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 44, -2\/149, -3\/37?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 56 - 28. Suppose 2*a = 3*t - 4*t + h, -a = 4*t - 7. Suppose 2*q = 12 + 42. What is the remainder when q is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 4054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2250 - -2254. Solve k + 6 = -0*k + o*g, -3*g = -3*k - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2696611 is divided by 2695984?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - ((3 - 0) + -6)) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z**2 - 88*z + 420 = 0 for z.\nAnswer: 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 375184 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -60*w**3 - 88*w**2 + 55*w + 8. Let h(j) = -20*j**3 - 29*j**2 + 20*j + 3. Determine -11*h(b) + 4*v(b).\nAnswer: -20*b**3 - 33*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7332684 is divided by 253.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 417863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-111)\/21 + 2\/7 - (-7920)\/198. Solve 6*t - 87 = y*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 9*l + 2*r = -12, r = 0. What is the derivative of 44*f**l - 305 + 163 + 157 wrt f?\nAnswer: 176*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 7*z. Let q(a) = -a + 1008063. What is o(q(y))?\nAnswer: -7*y + 7056441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -106400253365 + 69\nAnswer: -106400253296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -4*f - 3*g, -46 + 39 = 3*f + 5*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 172731956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6065.234 tonnes in micrograms?\nAnswer: 6065234000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176768.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -69828 divided by 132\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 2*n - 8, -2*a + 3*n - 4 = -0. Suppose 5*h - 18 = -2*m, 0*h - 6 = -5*h + m. Calculate the lowest common multiple of h and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 28\/(-42) + 8\/3. Let x be (6\/(-2))\/(18\/(-60)). Solve k*h = 2*a - x, -2*h - 2*a - 2 + 0 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9271.\nAnswer: 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -282.37 to the nearest integer.\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6672348.\nAnswer: 2, 3, 61781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 37*k*x**5 + 312317*k*x**3 + 5*k*x - 112*k - x - 100 wrt x?\nAnswer: 740*k*x**3 + 1873902*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4309600 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111*j - 1891 = 57*j + 1784 + 2205 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22\/273 and 15\/91.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of 9*i**2\/2 + 1. Let d be (-140)\/(-44) + 2\/(-11). Suppose -3*x + 6 = m, 2*x + 2*m - 11 = -d. Give j(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**3 + 14102*u**2 + 1091783*u = 0.\nAnswer: -77, 0, 14179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*p + 140 = 23*p. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 + 5. Let y be (z\/(-6) + -1)*-12. Let m be ((-2)\/(-18))\/((-1)\/y). Is m != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - c + c)*(-4*c + 3*c + 3*c - 3*c + 4*c + 0*c + 0*c - 2*c + 0*c + (-c + 3*c - 4*c)*(3 - 1 + 0) + 2*c - 2*c + 2*c)*(1 + 4 - 4)*(4 + 1 + 4).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 116420 by -37.\nAnswer: -116420\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 103508 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s + 2. Suppose -22*y = 39 - 281. Let v(n) = 0 - 7 - 5 + y. Let t(z) = z + 1. Let j be t(0). Calculate j*b(h) + 4*v(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 519423725.\nAnswer: 5, 1481, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 3) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4\/7, -0.4, -2\/7, -2\/3, -5, 1\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 324 - 27. Let g = -11 + 41. What is the remainder when g is divided by (y\/2)\/(-9)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 25 = -4*q, 3*q + 2*w - 20 = -2*w. Let f = 0 + -3. Put -13, q, f in descending order.\nAnswer: q, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -225183116 not equal to -900732465\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 64 - 57. Let k(n) = -9*n**2 - 6*n - 5. Let q(u) = 10*u**2 + 7*u + 6. Give j*k(t) + 6*q(t).\nAnswer: -3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*p - 30 = -77*p. Let m(c) = 5*c - 1. Let n(v) be the first derivative of -2*v**2 + v + 2. Calculate p*m(f) + 6*n(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 - 7*s + 12. Suppose -6*j = -91 + 7. Let i(c) = -c + 6. Let q be i(j). Let v be o(q). Solve 2*z + 3*z = v*w - 21, 5*w + z - 19 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15.52 + -14. Let k = x + -2.15. Let c = 0.03 + k. What is the smallest value in 0.1, 0.5, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 3, -2\/21, 0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(1539) - -1*sqrt(1539)) - 5*(2 + sqrt(1539)))*1 - (5 + (0 + 1*sqrt(1539) - -1*-1*sqrt(1539))))**2.\nAnswer: 4050*sqrt(19) + 346500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, 7, -24, -6 in ascending order.\nAnswer: -24, -6, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -194166 divided by 1449?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of (2 - (-64)\/(-12))*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1241233, 4964944, 11171133, 19859800, 31030945, 44684568, 60820669?\n\"Answer: 1241239*o**2 - 6*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s - 3. What is c(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 7*f**3 + f**2 - 3*f - 5. Let l(z) = 16*z**3 - 4*z + z**2 - 8 - 6*z**3 + 1. Let x(j) = -7*c(j) + 5*l(j). What is g in x(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8045215 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 146 - 128. What is the highest common divisor of s and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of -z**5\/20 + z**4\/4 + z**3\/6 - z**2 + z. Let p be h(3). Suppose -p = -j + 40. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + (sqrt(5) - (1 + -1*sqrt(5))) + sqrt(5) + sqrt(5) + (1*sqrt(500))**2 + ((-1 + sqrt(5))*1 - (sqrt(5) + sqrt(20)\/sqrt(4) + -1)**2).\nAnswer: 10*sqrt(5) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 2 + 0)*(-1 + 4 - 1) + 3 - 1 - 1)*(-t**2 + 0*t + 0*t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 39 = -3*u, 4*l - 9 = 7*l. Let x be 4*3\/(-5 + 11). Find the second derivative of x*t**4 - u*t - 2*t**4 - 4*t**4 + 35*t wrt t.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 58*d**2 + 29*d - 305. Let f be m(10). What is the greatest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 2*b - 654 = 0, o + 7*b - 3*b = 138. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 302 is divided by 85.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 3*w - 26, 2*j - w = -0*j - 12. Let t = j + 16. Calculate the greatest common divisor of t and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 6 - 3 = 0. Suppose -5*z = k - 209, -z + k = -u - 40. Suppose z = n + n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59254*g - 59250*g - 111 = -3*o, 5*o = -3*g + 97 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 less than 1109458.89?\nAnswer: 1109433.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -1091?\nAnswer: -1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -2*(-2)\/(-4) - -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (208 + -108 - 98) + 1 + 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13625 and 33625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + q + 1 = 3*s, -26*s + 27 - 105 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 112139647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 60170308 to the power of 1\/2, to the nearest integer?\nAnswer: 7757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3*n**3 + 77*n**2 + 34*n + 11. List the prime factors of l(20).\nAnswer: 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14660 + 14954. Calculate the remainder when 887 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 less than -5\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-5)\/(5\/8))\/(5 - 7). Let o(k) be the third derivative of -k**4\/12 + 11*k**2. Calculate o(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0043 at most as big as -459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g - 6. Let y be f(9). Let o(p) = -p**3 + 8*p**2 - 8*p + 2. Let a = 20 + -13. Let n be o(a). Sort n, y, 4 in descending order.\nAnswer: 4, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 9:09 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 53*p**2 + 49*p - 307. Give d(-54).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 222 and 48?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -101680 + 28?\nAnswer: -101651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 p, and 2 y when four letters picked without replacement from {p: 11, a: 1, k: 1, y: 2, e: 3}?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 5:40 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -283, -2\/9, 0.1?\nAnswer: -283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/38128059 and -93\/8472902?\nAnswer: 76256118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = w + w. Is 5 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w + 130 = 10. Suppose -5*v - 33 = -4*u, -46*u - w = -42*u + 4*v. Solve -3 = t - u*z, -z = -5*t + 2*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 34, 0.2, -12, 2\/7, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 947854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -26\/5  (c) -3\/8  (d) -43\/6  (e) 5.1  (f) 0  (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -5*u + 10, -2*u = -c - 0*c - 4. Suppose 2*a = 3*h - 14, -u*h = -h + 4*a. Solve -h*s + s = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 111431 + -3?\nAnswer: 111423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 747.92 * -0.5.\nAnswer: -373.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + (6\/9 - 1). Let c = -3 + b. Let y be 286\/(-88) - (-10)\/8. What is the third biggest value in c, 1\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t + 3*k = 6*t + 14, -7 = -3*t - k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 506 = 2*r, 0 = -2*s + 7*s + 5*r + 625. Let l = s + 206. Suppose x + 2*v - 6 = 0, -2*v - l = -3*x - 22. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or -7273742?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 27*o**3 - 4*o**2 + 5*o - 1. Calculate v(2).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {z: 2, p: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 285, 290, 297, 306, 317, 330?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-21 - (-33 - -45))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + b - 57 = 4*i, 0 = -i + 5*b - 27. Let n(x) = -x**2 - 19*x - 18. Does 18 divide n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 12999, 2, -139 in descending order.\nAnswer: 12999, 16, 2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 2 b when four letters picked without replacement from kkfmbfbbbbb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18755981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 193 times 120.023?\nAnswer: 23164.439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from {f: 5, z: 1, p: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*t**4 + 7939494*t**3 - 205119330*t wrt t.\nAnswer: -120*t**2 + 47636964*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7162131*i**6 + 685*i**2 - 220*i - 31 wrt i.\nAnswer: 859455720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91950 - 45976 - 2*d - 45974 + 3*d - 30*d**3.\nAnswer: -30*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(684) - sqrt(19))*-1 + -3*sqrt(171).\nAnswer: -14*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 122*d - 259*d - 309*d - 722 - 48*d with respect to d.\nAnswer: -494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 9 - 10)*(y - 4*y - y).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -310\/807 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -8  (b) 0.02795  (c) 4\/3  (d) 0.0202  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.797 rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-34)\/8)\/((-31)\/992)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 0*u - u**2 + 0*u. Let j(f) = 91*f + 199. Let r be j(-2). Let y(q) = -18*q - 9*q + 34*q - r*q. Calculate c(y(h)).\nAnswer: -100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00014822 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 - 5*x**2 + 6. Let m(h) = -h**2 + 9*h - 10. Let i be m(7). Let q = 9 - i. Suppose -3*b - 3*d - 20 = b, b = 3*d - q. What is w(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000506662 rounded to six dps?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 AM and 12:42 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -b**6\/75 - 8*b**5\/25 - 3*b**4\/2 + 54*b**3\/5 - 2*b - 118. Let y(d) = 0. What is d?\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 PM and 5:57 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - -23 - (7 + -7 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 - -4. Let h be 20*g\/(9\/(-3)). Calculate the greatest common divisor of 30 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3913 = -730*s + 171*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1\/382, 11 in ascending order.\nAnswer: 1\/382, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 9.546012 micrometers?\nAnswer: 0.000000009546012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 5 = 2*l. Let r(h) be the third derivative of h**5\/30 + h**4\/4 + h**3\/3 - h**2. Is r(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -2*a - 3, -4*x + 53*a - 25 = 48*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1039 + -627. Suppose 68 = k*q - 395*q. Factor 16\/5*f**3 + 2\/5*f**q + 32\/5*f**2 + 0 + 0*f.\nAnswer: 2*f**2*(f + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 748, 735, 708, 661, 588?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -6*f + 1. Give b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*9\/(-2475)*10\/36*2.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2*p - 4 - p + 2. Let n be g(2). Suppose o + 2*o - 57 = n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18151899 is divided by 73.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -15 + 3. Suppose 0 = -m*o - 2*o - 15. Is 34\/2 + o + 1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kdv when three letters picked without replacement from {v: 2, d: 4, k: 1, y: 2, t: 7}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -420d30 (base 14) to base 9\nAnswer: -4168865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*j - 8, 7*j - 11*j + 2*q + 10 = 0. Let 5*c**3 + 14*c**2 - 24*c - 4*c**j - 16*c = 0. Calculate c.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 46199 - 2b?\nAnswer: 4616e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 94*r**2 + r + 2. Let p be u(-1). Let j(z) = -29*z - 428. Let d be j(-18). Is p bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 528, -50, 5.\nAnswer: -50, 5, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 17\/2, 3, -2\/5 in increasing order.\nAnswer: -2\/5, 0.5, 3, 17\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25585*d**3*y**2 - 6*d**2*y**2 + 2859*d*y**2 wrt d?\nAnswer: -153510*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -51  (b) 0.2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 626718 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0012 - 53.8988. Let w = 55.9 + l. Let z = 6 - 3. What is the biggest value in z, -0.3, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1482505 is divided by 9585?\nAnswer: 6415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3101, 3120, 3155, 3212, 3297, 3416, 3575?\nAnswer: 3780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -709534 divided by 100.\nAnswer: -354767\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.33 - -2.3325. Let c = -0.4025 + s. Put -1\/9, 6\/13, c in ascending order.\nAnswer: c, -1\/9, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hmhy when four letters picked without replacement from myhyhyyylhllhyhl.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -356.3 - 3134\nAnswer: -3490.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-4 - -6) + -2 + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1326039*b**2*c - 243*b**2 + 6*c**2 + 14247 wrt c.\nAnswer: 1326039*b**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of -l**5\/60 + 97*l**4\/24 + 13*l**2. Let j(f) = 2*f. What is g(j(w))?\nAnswer: -4*w**2 + 194*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 2*v = 7*o + 7, 0 = -2*o + v + 6. Let k be (o - -5)*31\/(-279). What is the nearest to 4\/7 in -0.5, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + o + 2)*(-1 + 1 - 3*o)*(-138*o**2 + 85*o**2 - 131*o**2).\nAnswer: 552*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-7) + 75\/(-42))*-2. Suppose z*a - 64 = -91. Let k(f) = f + 14. Determine k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -6*l**2 - 59*l - 142. Let b be v(-5). Solve 73*s - k + 9 = 71*s, -b*s - 3*k = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 2*i + p, 28*i - 31*i + p = -12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/2)\/((-2)\/6))\/(2065\/(-10030)).\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*n = 287 + 3 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*q + 354 - 802 = 0. Solve -2*g = -5*l - 17, q*l = g - 3 - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + -21)\/((-1)\/(-1)). Let h be ((-15)\/(-2))\/(4\/24). Let z = r + h. Calculate the least common multiple of 4 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176441368 greater than or equal to 176441370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 3*j**2 - 3*j + 2 + j**2 + 4*j**3 + 2. Suppose 0 = d - 5*c + 3*c + 11, -5*d - 3*c = 3. Let p(f) = 9*f**3 + 9*f**2 - 7*f + 9. Give d*p(t) + 7*q(t).\nAnswer: t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2\/12189 - 85159\/999498. Find the common denominator of x and -15\/2.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q + 5. Let s be r(-1). Let p be -1*(-14)\/s*1\/5. Let a = -4 - -2. Sort 5, a, p in decreasing order.\nAnswer: 5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 47411670 to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(((x*x**13)\/x)\/x)*x*x**(-4\/7)\/x*x*x)\/((x*x**(5\/2))\/(x\/(x*x**(11\/4)))) assuming x is positive.\nAnswer: x**(-443\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*4\/42)\/((-23)\/(-7)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 7614, 30384, 68334, 121464?\n\"Answer: 7590*q**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2634 + 2640. Let x(n) = n**3 - 7*n**2 + 9*n - 15. Calculate x(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(198) + sqrt(198))\/(sqrt(2) + sqrt(2)*-2*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 606067.\nAnswer: 7, 11, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 129.8 + -130. Suppose 0 = 89*j + 202 + 154. Which is the closest to z?  (a) 2\/19  (b) 5  (c) 8  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 91*m**3 + 2*m - 1. Let k be h(1). Suppose 0 = -7*l + 3*l + k. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 100732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 5*a**3 - 5 - 5 + 13 + a. Let c be k(2). Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 15 - -5812?\nAnswer: 5827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tyyybyytbb. What is prob of picking 1 b and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*b**3 + 21*b**2 - 21*b**2 + (-2*b**2 + 0*b + 0*b)*(-1 + 1 - 2*b).\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4651827 is divided by 2563?\nAnswer: 2545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9 - 9058?\nAnswer: -9067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 4*u = -0*k + 8, -4*u + 8 = 0. Solve 2*y + 6 + k = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 10 = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 6:51 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 - -15. Put -1, d, 5 in ascending order.\nAnswer: d, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 3 = 5*m, 3 = m - 2*c + 6. Suppose -5*j + 78 - 3 = 0. Suppose -5*b = -3*p - 5, -p = -4*b - b + j. What is the closest to 7 in m, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11282, -10814, -10276, -9632, -8846, -7882?\nAnswer: -6704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 49172 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 188 = 5*u + 2*q, 4*u = -5*q + 188. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 17.52  (b) 11  (c) 4  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 - -27. Let z = s - 11. Let k = 8 + -6. Solve z = -k*a + 3 + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 15 = 63*h - 66*h, 5*h + 4*t = -9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3507 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -397165*o**2*w**2 + 2*o**2*w - o**2 + 39*o*w + 2*o - 21*w**2 + 565*w + 48 wrt w?\nAnswer: -794330*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 4*p + 3. Is 8 a factor of i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -2\/13, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 304 is divided by 65.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9554 or -1\/6?\nAnswer: -9554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 44*n**4 + 404*n**2 - 161273.\nAnswer: 176*n**3 + 808*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 52 * -19808.\nAnswer: -1030016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (-6 + 6 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.2052 rounded to two decimal places?\nAnswer: -4.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -107221 or 22?\nAnswer: -107221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1 + sqrt(21)\/sqrt(48) + (sqrt(252)\/sqrt(4))**2 + sqrt(175)*4.\nAnswer: 81*sqrt(7)\/4 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -3.7. Let x = -0.70044 + w. Round x to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000019150705 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -353513260 rounded to the nearest one million?\nAnswer: -354000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3516 - 1684. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1049, -8502, -28797, -68354, -133593?\n\"Answer: -1070*d**3 - d**2 + 40*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-6))\/(82\/(-492))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 3*g - 259 = 0, -5*c + 5*g + 222 + 33 = 0. Let u = 49 - c. Let y(t) = 4*t - 20*t + 3*t**2 - 3 + t**3 + 8*t + 9*t. Give y(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12711976 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 367 + -417. What is the closest to h in 3, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 873, 628, 383?\n\"Answer: -245*r + 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-5))\/(-1 - (-30)\/25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65094012967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10\/8821 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*f**3 - 4*f**3 - f**3 + (-2*f - 1 + 1)*(4*f**2 - 7*f**2 - f**2) + 3*f**2 - 2*f**3 - 3*f**2 + 4*f**3 + 2*f - 2*f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 - -15.8. Which is the smallest value?  (a) q  (b) -2\/3  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(416) + sqrt(416) - sqrt(416))*6)\/(6*(sqrt(2) + -2*3*sqrt(2))))**2.\nAnswer: 832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 199.0188731853746722 + -7467330605.0188735973746722. Let z = d + 7467330241. Let s = z - -165. What is s rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 103194 and 2727.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/(-48)*1\/(-2))\/((-15)\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -199 + -22?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/449, -3, 1, -30, -3\/7, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000026736709 to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -3*h**2 - 18*h + 14. Let o be -3*(-4)\/(-24) - (-33)\/(-6). Calculate the least common multiple of y(o) and 110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 567597590*z**3 + 22633*z**2 + 41*z + 9 wrt z.\nAnswer: 3405585540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4*s = 156012, 5*p - 260003 = 3*s - 4*s. Suppose -m = m + p. What is m rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**5 + 7130*i**4\/7 + 19426*i**3\/7 + 2194*i**2 + 1028*i\/7 - 2048\/7 = 0. What is i?\nAnswer: -1, 2\/7, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1650\/(-750)*(-180)\/33\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + 12\/(-24)*-1*2. Suppose 2*u - 9 = -u. Suppose -u*c = -f*m - 50 + 1, -c = -m - 13. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 5*c + 2*c + 28 = 0, 0 = -q - 3*c + 14. Suppose -q*u = -9*u + 255. Is u\/2*10\/(-3) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from vzz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 13164, 26317, 39460, 52587, 65692, 78769, 91812?\n\"Answer: -i**3 + i**2 + 13157*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**2\/4 + 2805*z\/2 - 7865321\/4 = 0. Calculate z.\nAnswer: 2753, 2857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y**2 - 32*y - 61. What is the remainder when g(20) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 17*a**4*c - 2*a**4 + 2*a*c*n**2 + 5*c*n**2 + 2*c*n + 4*n**2 wrt a?\nAnswer: 68*a**3*c - 8*a**3 + 2*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38005146, -76010293, -114015442, -152020593, -190025746?\nAnswer: -228030901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -166 + 236. Suppose f = n + 7. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -19*g**2 + 6*g - 6. Let c(f) = f - 1. Let k(r) = a(r) - 6*c(r). Let i(u) = 6*u**2. Determine k(i(l)).\nAnswer: -684*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 404220141 (base 5) to base 9\nAnswer: 3057380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 AM and 10:37 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -2232.281 to 0 dps.\nAnswer: -2232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 0.8, 76, -1\/8, 4\/9, -25?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.104, -0.010882 in decreasing order.\nAnswer: 5, -0.010882, -0.104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 72, 134, 182, 210, 212?\n\"Answer: -t**3 - t**2 + 72*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*c**2 + 21*c + 18 = 0. Calculate c.\nAnswer: -6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13525638 is divided by 1829?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 494 and 53378.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 - -12. Let f = 15 + l. Let a = f + -6. Solve a = -y - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4 + 10 + -1 + -1. Suppose 4*q + 7*r - y*r = 45, 3*q = -r + 40. Let d be 1 - 18\/q - 3\/(-15). Solve d*o - o = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/4*(-311)\/9330?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 o, and 2 y when four letters picked without replacement from {y: 3, w: 7, s: 5, o: 2}.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 6:35 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2a (base 12) in base 2?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 + 57*r + 383. Let m be z(63). What is the greatest common factor of 40 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -15. Let g be 50\/15 - u\/3. Suppose 6*y = g*y + 105. Calculate the highest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 131622 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102226?\nAnswer: 2, 79, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 15*51\/(-340)*(-32)\/12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -689 + 1104. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 6*z**2 + 9*z + 17. Is x(-15) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u + 3. Let t be i(3). Suppose 4*v = -3*q - 4960012, -3*v + 2*q - 4328773 + 608781 = t. What is v rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/5, 2\/3, 1\/5, -0.6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 10, n: 2, s: 2}. What is prob of picking 1 s, 1 q, and 1 n?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -5 and 1406437.\nAnswer: 1406432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32033 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -591 - 5.\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*p - 3 = u - 23*p, 7*p = 5*u - 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58.21914 litres to millilitres.\nAnswer: 58219.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-1) - (4 + -4). Suppose -3 = -q + t. Let r(f) = f**3 - 6*f**2 + 5*f + 5. Let j be r(q). Solve -j*w - 4*y - 7 = -3*y, 4*w + 4*y - 4 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7287 is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005339 rounded to 6 decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 2408 + 1272. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -64 - 60 - 2*w**4 + 130 + 3*w in the form n + t*w**2 + h*w**3 + p*w + o*w**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2834*v + 25539. Calculate f(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 122031 (base 4) to base 10\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001486 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 715568, 715586, 715610, 715634, 715652, 715658?\nAnswer: 715646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/30 and 55\/276?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence riu when three letters picked without replacement from {i: 3, w: 2, n: 1, u: 3, r: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 - a**2 + 4*a**2)*(369*a**3 - 2203*a**3 + 241*a**3).\nAnswer: -1593*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/((-15)\/2))\/((-2288)\/(-440))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + 4*o**2 - 33*o + 185. Give a(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(22)\/sqrt(2) + -5.\nAnswer: -7 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 + -13. Let u be (2\/c)\/((-12)\/(-18)). Suppose u*w - 3*s + 3 = 0, 5*s - 13 = 2*w + w. Solve -w*l + g = 5*g + 16, 4*l = 4*g - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sysooyssossoss. What is prob of picking 1 y and 1 s?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -290  (b) 0.1  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32\/297 - -2\/27. Let v(t) = -t**2 - 12*t - 1. Let g be v(-12). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*m + 5. Suppose 0 = -3*l - 0*l + 42. Calculate the highest common divisor of m and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z + 10805 = -6*z. Let c = z + -1375. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48 - 46 + 11*q**2 - 36 + 130.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 7630904115.17.\nAnswer: -7630904117.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -5*h**3 - 2*h**2 - 2. Let x(c) = -10*c**3 - 5*c**2 - 5. Determine 10*k(u) - 4*x(u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 6:17 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 16\/20 + (-56)\/(-5). Let o(u) = 9*u**2 + 3*u + 27. Let x(q) = q**2 - q + 2. Let p(w) = m*x(w) - o(w). Find the second derivative of p(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/5  (b) 3\/2  (c) -4  (d) 176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*p**3 + 12*p - 13*p - 2*p + 31*p**3 + 2*p.\nAnswer: 73*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 11:55 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1414 + -1410. Let m = 8 - 5. Suppose -w*x + 4*v = 2*v - 208, m*x + 2*v = 149. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 14 - t - 47.\nAnswer: -t - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**19)**(1\/28)\/(c**(-15\/8)\/c)**(-25\/2) assuming c is positive.\nAnswer: c**(-3949\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3294\/210)\/1 - 2*2\/14. Let v(b) = b + 6. Let f be v(8). Is n bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0 = -v - 1, -4*v + 5*y = 30. Let i be (v - (-4 - 0))*2. What are the prime factors of ((-42)\/15)\/(i\/35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 54*n**5 + 25444*n**4 + 7*n**2 - 8*n - 10394 wrt n?\nAnswer: 3240*n**2 + 610656*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118*k + 2248 - 6 = 0. Let f(p) = -p**2 - 22*p - 48. Give f(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-10 + 6 - (-2 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of -1\/21*a**7 + 0*a**3 + 0*a**2 + 0 + 39*a - 9\/2*a**4 - 27\/10*a**5 - 3\/5*a**6. Determine w, given that d(w) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 30*o + 4 + 11 - 1 - o**3 - 2*o**2 - 4 - 32*o. Let n = -2 + 2. What is the remainder when 39 is divided by c(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/(-40))\/((-7088)\/274660).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4457, 4445, 4433, 4421, 4409?\n\"Answer: -12*q + 4469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 299\/540 - 49\/108. Which is the closest to 6?  (a) 10  (b) 0  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**4 + 5*y**4 - 2*y**4)*(1 + 2 - 4 + (0 + 4 - 5)*(-3 + 3 + 2) - 1 + 0 + 0)*(0*y - 3*y + y).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 + 13. Let m(j) = 4*j + t + 2*j - 7*j + 0. What are the prime factors of m(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 6 = m, -2*s = -5*s - 8*m - 87 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(100)\/sqrt(2) + 5 + sqrt(2) + (sqrt(42)\/sqrt(3))\/sqrt(7) + sqrt(10)\/(sqrt(5) + sqrt(20)\/sqrt(4)))**2.\nAnswer: 75*sqrt(2) + 275\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 87 - 159. Let s = 136 - d. What is the highest common factor of s and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23.92572 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -42.32 + 41. Let f = i - -1.32000071. 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: Simplify (-1 + (-1 + sqrt(99) - sqrt(99)) + -4 + sqrt(99)*-1)**2 + (1 + (sqrt(99) + (sqrt(99) - -2*sqrt(99)))**2 + 5)*2.\nAnswer: 36*sqrt(11) + 3315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 48947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 + 28*b + 34. Determine a(-28).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1265 and 1840.\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -4*l - 530, -8*l + 1351 = 5*y - 5*l. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y + 6. Let m(p) = -3*p + 17. Let h(c) = 4*m(c) - 11*s(c). Calculate h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112168487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -r**7\/5040 + r**6\/180 - r**5\/15 - r**4\/8 - 5*r**2. Let p(j) be the second derivative of q(j). Find i such that p(i) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 12:40 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13993*q**4 - 238*q**3 + 8445562*q.\nAnswer: 167916*q**2 - 1428*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of -5\/24*w**4 + 0 - 2\/3*w**3 - 5*w**2 + 0*w. Differentiate n(z) with respect to z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -3745\nAnswer: 4\/3745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.04 - 0.03. Let v = k + -0.51. Let i = 0.1 + -0.2. Is v > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is ac680 + -31?\nAnswer: ac64e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -948 in -69, -2, 3, -1?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 704\/10 - 2\/5. Suppose 2*n - 80 - s = f, n - 5*f = 93. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) 2  (b) 465.1  (c) -1\/2  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.776 - -0.106. Let c = -0.37 - m. What is the closest to -3 in 5, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 + 10*s**2 + 9. Give r(9).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -839*c + 840*c + 2*q = -21, -c + q = -9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i + 1. Let s(v) = -3 - 89*v - 73*v + 160*v. Let o(u) = -5*s(u) - 15*z(u). Let w(n) = -5*n. Let t be ((-8)\/(-5))\/(4\/10). Determine t*o(m) - 3*w(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 382 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2726 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 24536, 98171, 220896, 392711, 613616?\n\"Answer: 24545*x**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -620 (base 13) to base 2.\nAnswer: -10000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 231 divide 13860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 164 a factor of 370758736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -7. Let a(l) = -4 + 2*l - o*l - 3. Is 8 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 544484229 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -56\/40755 and 101\/495.\nAnswer: 122265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in eighty-nine halves of a millennium?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4724*l - 5685 - 16040 = 20791. Let n = -1 + -1. Sort -5, l, n in decreasing order.\nAnswer: n, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19 - -19.4. Put -3, y, 8 in increasing order.\nAnswer: -3, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 43*m**4 + 995*m - 331125 wrt m.\nAnswer: 172*m**3 + 995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v**2 - v**2 + v**2)*((20 - 55 + 20)*(-25*v - 4*v**2 + 25*v) + 13*v - 13*v + 3*v**2).\nAnswer: -252*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, e: 1}. What is prob of sequence yyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/8511 + -314887\/85110. Let o = 0 - -1. What is the common denominator of q and 430\/20*o\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -5*s. Let k(y) = s + 0 + 596*y - 598*y. Let o(l) = 140*l**2. Let t(r) = -28*r**2. Let h(a) = 3*o(a) + 16*t(a). Determine h(k(i)).\nAnswer: -112*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 5:47 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -7*p. Let t(i) = -1394*i + 374. Let b(y) = 15*y - 4. Let z(u) = -187*b(u) - 2*t(u). Give z(d(w)).\nAnswer: 119*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 - 3\/(0 + 3). What is the units digit of c + (4 - (-1 + -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48868772 by 50852.\nAnswer: -961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-27)\/12)\/((-3)\/8). Let y = -0.249 - 0.041. Let s = y + -1.71. Is s bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4  (b) -8271  (c) 2\/251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 142002 and 140826.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-16)\/3)\/((-5)\/840). Let r = o + -568. List the prime factors of r.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2497.6*1.\nAnswer: -2497.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vb when two letters picked without replacement from yeevvebybev?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8907826.031776 + 20.968224. Let c = r - 8907848.7999154. Let d = 1.8 + c. Round d to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 9, -6445.\nAnswer: -6445, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4063 - 2143. Is 64 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 160?  (a) 68  (b) -12  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2343 - -2341. Let r = -41\/6 + 19\/3. Which is the smallest value?  (a) p  (b) r  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6391701339.\nAnswer: 3, 59, 127, 284341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 3 + 88\/(-6). Let h = u + 14. Is 2 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - 1) + -1 + 23 + -12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 + -561664955?\nAnswer: -561664450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/1785 and 2\/765.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -14*r + 14. Calculate v(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 4*k = -2*i + 66, 0 = 2*i - 3*k - 68. Suppose -q + 5*d = -1 - i, 2*d = -10. Suppose 3*s - q = 2*u - u, 0 = -u + 5. Which is greater: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/18)\/(c\/(c*c\/c**(-9))*c))**(1\/20)\/(((c\/c**1)\/c**(2\/21))\/((c*c**(1\/8))\/c**0)) assuming c is positive.\nAnswer: c**(2101\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*(1 + 0)*2756\/135044?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -8. Let t be (0 - 1\/y)*6. Solve 0 = -t*c - 0 + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2165 + 1203. Let f = p - -19209\/20. Calculate the common denominator of -17\/22 and f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 102 = 118. Which is smaller: -12 or h?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15960 and 5.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.7, 0.06, 3, -5 in ascending order.\nAnswer: -5, -0.7, 0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -17518, -34194, -50870?\n\"Answer: -16676*z - 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-z**3 + 3*z - 3*z)*((-1 + 4 - 1)*(-14 + 2 - 9)*(-1 + 6 + 0) + 1 - 5 + 2) in the form y*z + v + r*z**2 + a*z**3 and give a.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/11025790 and -3\/14296.\nAnswer: 44103160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 + 9*s + 9. Let z(m) = -m**3 + 9*m - 5. Let a be z(2). Let v be a\/((-3)\/42 + (-24)\/(-42)). Calculate u(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1119)\/(-2))\/(27\/72). Find the third derivative of -q*j - 2*j**2 + 1492*j + 19*j**5 wrt j.\nAnswer: 1140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 AM and 11:30 AM?\nAnswer: 256","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 - (7 + 5 + -7 + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = y - 4*y. Let u = 13 + y. Which is bigger: 2\/5 or u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.54 and 0.5?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 56253 - 2586?\nAnswer: 53778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 429, 435, 441, 447?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*w - 26*w + 5617728000 = 352*w. What is w rounded to the nearest one hundred thousand?\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 944631?\nAnswer: 3, 104959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -4*y - 59. Give b(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -40*a + 264*a**4 + 6*a + 13*a + 8*a wrt a.\nAnswer: 3168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.067 + 25.233. Let a = -25.2 + l. Sort 0.2, -0.79, a in increasing order.\nAnswer: -0.79, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 179999*v**2 - v + 1. Let d be z(-2). Let i be d\/4 + (-2)\/(-8). Round i to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (30\/132)\/((-555)\/(-222))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -707800 rounded to the nearest 10000?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3876 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 1) + (1 - -1) - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-8 - -3 - -12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - -24 - 23 - (-3 + 0 - 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 7) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13*a**2 - 2774*a + 29040.\nAnswer: -(a - 10)*(13*a + 2904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**8)\/(g**(2\/17)*g)*(g*g**9*g)\/g**(-5\/7))**(-2\/9) assuming g is positive.\nAnswer: g**(-4664\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 3054 divide 12415495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4 = -79*p + 76*p, 4*p + 4*l = 16. Solve -4*z + 4 = 2*i + 2, -5*z + p*i - 11 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(832) + -1 + sqrt(832)) + (sqrt(832) - (-5 + (sqrt(832) + -1 + sqrt(832) - sqrt(832)))))**2 - 1*(2*sqrt(143))\/sqrt(11)*-5.\nAnswer: -502*sqrt(13) + 13376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4267, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -5*j - 1. Let x be 6*16\/3 - -3. Let c be 30999998\/j + (-14)\/x. Round c to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.19 + -113.81. Are -0.1 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -7*h**2 - h + 1. Let c be x(1). Let i = -4 - c. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11674339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 28942359 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*t - 4*t + 21*t.\nAnswer: 75*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-12))\/((-7)\/28)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 85761 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c**2 + 0*c**2 + 0*c**2)*(1 - 16*c**2 + 30*c**2 - 15*c**2) to the form j*c**4 + n + v*c + u*c**3 + f*c**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3\/3 + 7600*c**2 + 44371719*c + 11915917614.\nAnswer: (c + 282)*(c + 11259)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 - 0.1. Suppose 0 = -28*q - 7*q + 70. Suppose f + q = -30*h + 29*h, 0 = -f - 3*h. Which is the closest to n?  (a) f  (b) -1\/2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-2\/55)*m)\/(m*m**5*m))\/(m**(-4\/9)\/(m*(m*(m*m**(-5)*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-3758\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 94161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/z**(2\/5))\/z)\/(z*(z*((z\/(z*z\/(z*((z*z**(-2))\/z)\/z)))\/z)\/z)\/z))**(-11)\/(z\/z**(2\/3)*z*z*z\/z**(2\/9)*z**(2\/7)*z*z*z**(-5\/3)) assuming z is positive.\nAnswer: z**(-17114\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5949122.\nAnswer: 2, 2974561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 less than 0.21879568688?\nAnswer: -422.78120431312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3*(-2)\/3)\/1. Suppose 5*q - 27 = -z. Is 4 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5717 + 10014?\nAnswer: 15732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 13*f**2 - 41*f + 46. Let q be u(2). Let l be 2 + 4\/(2*-1). Solve 4*c = -l*c - q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*y**4\/11 - 22530*y**3\/11 - 4516834*y**2\/11 + 6163482*y\/11 - 1624090\/11 = 0. What is y?\nAnswer: -403, 5\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0057 - 73.6057. Let k = 417 + -364. Let v = k + o. What is v rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f - 9. Let b be v(-6). Suppose -s + b*s = 16. Suppose -2*w = m - 17, 21 = 3*m - w + 2*w. What is the least common multiple of s and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2785700\/(((-4)\/4)\/((-4)\/(0 + -4))). Round o to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4526.4 * 2091\nAnswer: -9464702.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2103442473 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1399.000001438 - -1399. Round z to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b - 65 = -169. Let j = 20 - b. What is the remainder when j is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1007905 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -5750000 rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19036 - 19034. Solve -2*h - m*o - 9 = -21, -3*h = 2*o - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*b**3*o**2 - 1362*b**3*o + 2050*b**3 + 2*b**2 + 246661*b*o**3 + 21*o**3 - 6 wrt o.\nAnswer: 16*b**3 + 1479966*b*o + 126*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 90 + -64. Let u = j - 22. Suppose -v**3 + 76*v**u - 108*v**2 + 24*v**5 + 16 + 6*v + 0*v**3 + 9*v**3 - 22*v = 0. What is v?\nAnswer: -2, -1\/2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 627 a factor of 257062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - 3*y**2 + y + 3. Let b = 6 + -3. Let g be o(b). Factor 6*c - 4*c**3 - 2*c**5 + 0*c**2 + g*c**4 - 2 + c**2 - 5*c**2.\nAnswer: -2*(c - 1)**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -43?  (a) 0.2  (b) -2  (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1290667295 = -5*p + 327832685. Suppose 0 = -3*a - 4*b - p, 5*b = 41 - 36. Round a to the nearest one million.\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.02 or 24\/2233?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) 4  (c) 0.3  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1010 + -1?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -226485 (base 9) in base 15?\nAnswer: -2a465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.2  (b) -229  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*i - 15*i + 2*o - 5214 = 0, 3*i - 3127 = -o. Calculate the greatest common factor of i and 3280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*3*(-5)\/(-20). Let c be 0 + -4 + (13 - x). Solve -3*q - 6 = -c*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00258095 rounded to 5 decimal places?\nAnswer: 0.00258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 217 - 212. Factor 0 + 0*v - 14\/5*v**4 + 0*v**2 + 4\/5*v**3 + 2*v**d.\nAnswer: 2*v**3*(v - 1)*(5*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(1\/(-20))*(-2)\/5. Differentiate 0 + 3*i**3 + w*i**3 + 2 with respect to i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2\/11769533 + 55658121973\/2448062864. Let g = -324\/13 + x. Calculate the common denominator of g and ((-97)\/(-6))\/((-22)\/(-6)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3837199*k + 2964502?\nAnswer: -3837199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 37819622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.02, 19137, -5\/4, 10.\nAnswer: -5\/4, -0.02, 10, 19137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of 1\/10*v**5 - 2*v - 2\/3*v**3 + 0*v**2 + 1 - 1\/6*v**4. Let a(k) be the first derivative of i(k). Factor a(x).\nAnswer: 2*x*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3432750026108*r**4 - 3753520522076*r**3 - 330761874144*r**2 - 10095115520*r - 103737344.\nAnswer: -4*(r + 1)*(9503*r + 296)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 14\/((-1)\/(78\/(-7917)))\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 417 - 410. Let v(t) be the first derivative of -1\/2*t**2 + 0*t**3 + 0*t - 1 - 1\/4*t**4. Let l(n) = 4*n**3 + 3*n. Determine h*v(y) + 2*l(y).\nAnswer: y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3d4136 (base 14) in base 5?\nAnswer: -1020432400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (70\/(-6) + 15)*(0 - -6). Solve -y = -5*x - 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of d**2\/2 - 11*d - 20308. Let y be (8\/(-6))\/((-2)\/6). Determine n(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/1 - (6 - 3). Put 6, -4, i, 5 in decreasing order.\nAnswer: 6, 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 142152 + -3?\nAnswer: 142145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33 - 65 + 25)*(v - 18*v - 4*v).\nAnswer: 1533*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6626063777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 AM and 11:01 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 133917029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.3429364 rounded to two dps?\nAnswer: -2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -2*a + 60. What is the smallest common multiple of a and (-387)\/(-45) - 6\/(-15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.653 + -0.153. Let n = 485\/3752 + -2\/469. What is the third smallest value in a, -4, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence off when three letters picked without replacement from offfffoo?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 68732.829 - 8\nAnswer: 68724.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 5)*(1 - 3 + 0)*((a + 1 - 1)*(-a + 0*a + 3*a) + 13*a - 13*a - 4*a**2).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55247, -55372, -55549, -55790, -56107, -56512, -57017, -57634?\nAnswer: -58375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31 is divided by (-34)\/(-2 + -3 + 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87085*w**2 + 253500 + 47471*w - 5*w**4 + 111883*w + 5746*w + 1310*w**3 = 0. What is w?\nAnswer: -1, 3, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 4  (b) -0.4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 705*b**2 - 36*b + 100. Is y(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -12.52 and 14.\nAnswer: -175.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 9.423 - -1178\nAnswer: 1187.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 191 divided by -23\nAnswer: -191\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -s**6\/20 - 7*s**4\/24 - 5*s**2. What is the second derivative of h(i) wrt i?\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -200 + 62445058.\nAnswer: 62444858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16\/4 - -6*(-4)\/12. Suppose q*v = 2*p - 718, -1 - 4 = v. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23417 + -23415. Sort -6, x, 70, -4.\nAnswer: -6, -4, x, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -517 - -183. Let b = 336 + m. Solve a + 0 = b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-15)\/(-20)*2\/(-6). Let l = 0.11 + -0.03. Let t = l - 0.48. What is the third smallest value in t, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**3 - 68\/13 - 126\/13*g**2 + 166\/13*g + 2\/13*g**4 = 0. What is g?\nAnswer: -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 divided by -101857?\nAnswer: -173\/101857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2192*r**3 + 2*r + 6. Let o(d) = -13152*d**3 + 13*d + 39. Calculate -13*i(q) + 2*o(q).\nAnswer: 2192*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003378735 to seven decimal places.\nAnswer: 0.0000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 - 1.7. Which is the nearest to 0.2?  (a) y  (b) 2\/9  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 358159*p + 2507134. What is y(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 3*u**3 + 4*u + 1. Let b(d) = 5*d**3 + 7*d + 1. What is -4*b(m) + 7*j(m)?\nAnswer: m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of 1321*j**3\/3 - 3109. Let l(r) = 3*r. What is l(g(d))?\nAnswer: 3963*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express i**3 + 11 + 6*i + 2*i**2 + 7 - 26 + 6 as y*i + x*i**2 + v + a*i**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oqoqqoqoqo. Give prob of sequence qqoo.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -27*n. Let b(z) = 45*z**2 - 122*z**2 + 113*z**2. Calculate b(m(a)).\nAnswer: 26244*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 180, 170, 160, 150, 140, 130?\n\"Answer: -10*u + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**2 - 10 - 20*s + 20*s.\nAnswer: -4*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-42)*-2)\/(35\/(-49)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5449527 nanoseconds in minutes?\nAnswer: 0.000000000009082545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1, 4, 918, 0.1, -0.1, 3\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/3115850 and 73\/1333200.\nAnswer: 822584400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((2\/5)\/((-224)\/420))\/(117\/(-4056))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -164 (base 8) to base 11\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -57, 39\/2, -1\/321, 2\/11, 1, -1 in descending order.\nAnswer: 39\/2, 1, 2\/11, -1\/321, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 60 + 23 + -80 + (-1 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5713 by 5047.\nAnswer: -5713\/5047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -57*u + 5. Let v(m) = 11*m - 1. Determine -2*a(w) - 11*v(w).\nAnswer: -7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 + 2. Let m be p(2). Let o be 58*(-1)\/m + 2. Is o*((-1 - -2) + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(33\/12)\/11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-660)\/9 - 0)*-3. Suppose -3*r + 7*r - s = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 10:33 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 + 10*x**2 + 11*x + 11. Suppose m + 2*m = 33. What is the tens digit of b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.0322 and 1.0869.\nAnswer: 1.0547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, w: 4, p: 8}. Give prob of picking 3 p and 1 x.\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1582615283?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-27) + 0 - 2\/9. Suppose x = 3*p + 8 + 16. What is the common denominator of p\/(36\/(-7) - -3) and 133\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1544431340 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -2\/15, 1\/5, 61\/42, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 3*n**3 + 3*n**2 + 4*n + 3. Let g(d) = -d**2 + 4*d + 3. Let y be g(5). Let a be x(y). Let c = a + 35. What is the greatest common divisor of c and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(957\/77)*80\/280?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*c + 11*c = 25, -5*p + 310 = 5*c. Calculate the remainder when 166 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 6964725?\nAnswer: 13929450","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -4*o - 5*q - 8, -3*o + 3*q - 9 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1719, 1733, 1747, 1761, 1775?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p. Suppose -4*o - 4 = 5*n + 15, -2*o - 47 = -5*n. Let g = o + 15. Let w(j) = -g*j**2 + 3*j**2 + 2*j**2. Determine l(w(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 4:09 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 41760 rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -13*q**3 - 3*q**2 + q + 3. Let m be w(-1). Suppose 4*n - 2732 = -8*z + m*z, 0 = -5*n - 3*z + 3415. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(78) + sqrt(78) + 1*sqrt(78)) - 1*(sqrt(78) + sqrt(78) + (sqrt(78)*1 - sqrt(78)) + sqrt(78) + sqrt(78)))\/(4*sqrt(288)\/(sqrt(12)*-2)).\nAnswer: 19*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from jdddddjddddudjdd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((3 - -2)\/(-1))\/(7\/(-7)). Solve -2 - 7 = 4*m - i*y, -2*y = 5*m - 30 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/8, -3\/2960311, 4 in increasing order.\nAnswer: -1\/8, -3\/2960311, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 381287337?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1754897, 1754900, 1754903, 1754906?\n\"Answer: 3*b + 1754894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 9*y + 10. Let d be f(10). Suppose d = -v - q + 18, -4*q + 2 = v + q. What is the second derivative of -v + 22 - g**3 + 3*g wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + n - 8 = 4*z, 4*z - 10 = n. Suppose 4*t - t = -n. Let p(s) = 2*s**2 + 3*s + 1. Is p(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11649211 and 1519?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -0.1\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4626\/(-1285))\/((-14)\/20))\/(-5*2\/35)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3*z**2 - 2*z - 1. Let h(f) = -3*f**2 - f - 2. Give 3*h(i) - 2*m(i).\nAnswer: -3*i**2 + i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 47703*v + 47699*v - 10 = 0, -12*v - 65 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f**2 + 2*f**2 + 4*f**2 + (-3*f**2 + 2*f**2 + 2*f**2 - f**2 - f**2 + f**2 + (3 + f - 3)*(3*f + 2*f - 4*f) - 2 + f**2 + 2)*(-1 - 2 + 2).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 19 + -25 + 321\/54\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - 9. Factor 6*v**3 + 8 - 2*v**3 - 3*v**p + 12*v + 6*v**2.\nAnswer: (v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1020.7 + 966. Round d to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 58536885 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -12*l**2 + 24*l - 166. What is x(4)?\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(51) + sqrt(153)\/(sqrt(6)\/sqrt(2)))*3)\/(((sqrt(108) + sqrt(108) + 2*sqrt(108) + sqrt(108) - sqrt(108))\/sqrt(3))\/((1*sqrt(36))\/sqrt(3))).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5904491909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 - 5*w**2 - 31*w - 343. Let p be i(11). Let t(v) = 3*v + 2. Let y be t(6). What is the second derivative of -21*n + 22 + y - p - 9*n**4 wrt n?\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((-21)\/(-45))\/(-7)*-57*15 and 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 21*o - 24. Let y be w(14). Suppose y = -5*n + 214. Calculate the greatest common factor of n and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, t: 1, c: 3, m: 7, r: 1, j: 3}. Give prob of sequence mrmg.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 - 2 + 4)*(3 + 0 - 2) + 2 + 4 - 4)*(6*z + 2 - 2) to o + c*z and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -69, -53, -37?\n\"Answer: 16*o - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d + 0*d + d)*(-2*d**2 - 2474*d + 2946*d - 4163*d).\nAnswer: 2*d**3 + 3691*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, c: 1, k: 1, l: 1, u: 1, m: 2}. Give prob of sequence lec.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5934 is divided by 108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41*q + 46*q - 2 - 2)*(-q + q + 2*q**2).\nAnswer: 10*q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*o = 5*o - 44. Is -11\/3 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c + c - 3*c)*(-2 + 27 + 4).\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2467816708 to the power of 1\/2, to the nearest integer?\nAnswer: 49677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*26\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 5587*2\nAnswer: 11174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003882867 to seven decimal places.\nAnswer: 0.0000388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 21 = -69. Suppose 2*l - k = 24. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1872 = 10208*t - 10244*t for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 493136\/321 or 1537?\nAnswer: 493136\/321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f - 6. Suppose 162 = 2*h + 3*z, -308 = -4*h - 5*z + 3*z. Suppose 6*i + h = 21*i. Give n(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -1227*y - 3775. Is 43 a factor of q(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -7*o - 3*j + 124, 5*j - 482 = -4*o. Calculate the remainder when 1 - (-1 - (23 - 1)) is divided by 40\/(-520) - o\/(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -26 + 47. Let v be (18\/h)\/((-3)\/(-21)). What are the prime factors of 8 - -2 - v\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 12, -2\/97, -95, 5, 2\/7, -3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -6. List the prime factors of (-140)\/(-7) - (f - 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-670)\/1072*6*20\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3*g + 0)*(-1600 + 1600 - 22*g**2) + 3*g**3 + 3*g**3 - 7*g**3.\nAnswer: 65*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((-12)\/(-8))*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2867998?\nAnswer: 2, 7, 204857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - s = -3, -16*s + 20 = -12*s. What is the second derivative of -8 - 131*f**2 + 2*f + z + 94*f**2 wrt f?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 2506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away -8894?\nAnswer: 8893.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27780949?\nAnswer: 7, 587, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 0.2, 4, -4, 2, -2, 7328, 35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 383057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 133 (base 4) in base 9?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**5 + 3*w**5 - 4*w**5 + (2*w - w - 3*w)*(-w**3 + w**3 - w**4) + w**5 + 4*w - 4*w + 3*w**4 + 2*w**5 - 3*w**4.\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -102.63 rounded to the nearest integer?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -l**5\/60 + l**4\/3 - l**3\/2 - 2*l**2 - 12*l. What is s(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*f = -29*f + 10*f + 940 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/(324\/(-32))*(-6)\/(-4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (((-9)\/6)\/(2\/4))\/(960\/(-4649600))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(245) + -1 + sqrt(245) + -1 + -5).\nAnswer: -84*sqrt(5) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55, -193, -433, -781, -1243, -1825, -2533?\nAnswer: -3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1526 - 2117?\nAnswer: -3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 263108 - 173355. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9906 and 23077678.\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 9 = 5*x - 8, 2*x = 3*o - 14. Suppose o*q - 5 = 3*q. What is the remainder when 42 is divided by 15 - 0\/(q + 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.89 and 5.801.\nAnswer: 4.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 - -15.0043. Round p to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4968 = -46*h + 150*h + 172*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 12:55 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hjj when three letters picked without replacement from uhhuhuujhhhujhh.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 190, 789, -0.3, 0.1, -1\/9, 4?\nAnswer: 789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x**3 + 2*x - 2*x)*(-2926 - 2*x - 3146 + 5093) in the form w*x + v*x**2 + b + h*x**3 + j*x**4 and give h.\nAnswer: 1958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 - 14*n**2 - 7*n + 2. Let z be g(-13). Let i = z - -116. Let k be (3\/4)\/((-65)\/i + 2). Solve 0 = k*a + 4*d - 14, 3*a - 3 - 14 = -5*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/111 and -91\/12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30 + 31. Let w(i) = 28*i**3 - i**2 + i - 1. Does 22 divide w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**5\/21 + 880*d**4\/3 - 57868*d**3\/7 + 197032*d**2\/3 - 2262286*d\/21 + 50024 = 0.\nAnswer: -3108, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 30*u. Let a(j) = 3*j**2 - 49. What is d(a(y))?\nAnswer: 90*y**2 - 1470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -13. Let q(b) = -b - 1. Let s(u) = 16*u + 12. Let a(d) = 3*q(d) + s(d). Is a(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 436150 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16102 and 110386?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (360*y**2 - 177*y**2 - 230*y**2)*(-2 - 2 + 5) - 4*y**2 + 2*y**2 + 0*y**2.\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*m + 10033 + 32*m - 10034.\nAnswer: 121*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1237, -2604, -3969, -5332, -6693?\n\"Answer: z**2 - 1370*z + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 + 3. Let w(n) = n**2 - 5*n + 3. Let v(q) = 3*q**2 - 11*q + 7. Let c(m) = -2*v(m) + 5*w(m). Let o(y) = -2*y + 1. What is u*o(h) + 2*c(h)?\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u - 2*u + 3*u + (-71 + 524 + 9 - 2 + 1 + 3 + (2 + 1 - 2)*(1 + 2 - 2))*(0*u - 2*u + 0*u) to the form z + q*u and give q.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -1160*q**5 + 11250*q**4 + 85845*q**3 + 94600*q**2 + 22065*q + 900 = 0. Calculate q.\nAnswer: -4, -1, -1\/4, -3\/58, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/5*(-6 + 11). Put 5, h, -104 in ascending order.\nAnswer: -104, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 6*s**2 - 21*s - 10. Let y be b(-8). What is the third derivative of -18*g**2 + y*g**2 - 24*g**2 + 30*g**6 wrt g?\nAnswer: 3600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56831.\nAnswer: 17, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-22)\/33)\/(3 - 1)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2541\/8470)\/(6\/(-100)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1540 + -145?\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 102839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-234)\/(-45)*(-70)\/28*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 259 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 22, 0, 2, -163, -395 in decreasing order.\nAnswer: 22, 5, 2, 0, -3, -163, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r. Let f(c) = -42 + 36 + c**2 + 11*c**2 - 9*c**2. Determine f(g(d)).\nAnswer: 48*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 217068 is divided by 2309?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from illvilzzizlziiiiiliz?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/597 - -1021\/229845. Is o at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62877*q - 62854*q = -184 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 PM and 9:54 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1420 and 1870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 11\/33 - (1 - (-69)\/(-9)). Let w(f) = 2*f + 46. What is the tens digit of w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/36880 and 99\/212060?\nAnswer: 848240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - 1. Let q(c) = -4*c + 2 + 2*c + 2. Is q(m) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.4, 0, 2\/3, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 287, 278, 271, 272, 287, 322, 383?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y + 306 - 334 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4924949 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the second derivative of -9*h**8\/56 + 4*h**4\/3 - 8*h. Find the third derivative of f(m) wrt m.\nAnswer: -1080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*z - z - 17164 = 521*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -42*g - 6 - 42*g - 26. Let n = 2273 + -2241. Let x(v) = -13*v - 5. Give n*x(k) - 5*s(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117\/390 + (-21894)\/(-20).\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/(-10))\/((-2)\/20). Let q(l) = -7*l**3 - 11*l**2 - 11*l - 9. Let g(n) = -1 - 4*n**2 - 3*n**3 - 5*n - n**2 - 3. Let i = -2 + -7. Give i*g(h) + o*q(h).\nAnswer: -h**3 + h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -2*q + 628, -3*i + 2*q - 5*q = -375. Suppose -5*h - 21 = 2*v, 3*h + 16 - 5 = -2*v. Suppose -2*j + i = v*o + 2*j, 2*o - 4*j = 110. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 13*x**2 + 3. Let k(c) = -277*c. Calculate k(m(d)).\nAnswer: -3601*d**2 - 831","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 728.921201 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a*a\/(((a*a\/a**(-5))\/a)\/a*a))\/a*a)\/a)\/a)**(-24\/7)\/(a**(-3\/4)\/a**(-5)) assuming a is positive.\nAnswer: a**(457\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 0 - (-11 - (5 - 17)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 195348 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -537*t = -530*t + 21. Sort -22, 4, t, -2 in decreasing order.\nAnswer: 4, -2, t, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28153 is divided by 1052?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 850576833 to the power of 1\/2, to the nearest integer?\nAnswer: 29165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.226586 rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-24))\/(-1)*(-50)\/175.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -3, -49\/3, -5\/209, 2\/5.\nAnswer: -49\/3, -3, -5\/209, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (17\/((-85)\/(-6420)))\/(12\/16)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2000 divide 148764000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-2) - (0\/3)\/(-6). Calculate the common denominator of -63\/20 and ((-475)\/(-10) - 3)\/(-11*z).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 2 d, and 1 m when four letters picked without replacement from dmdmmxwxdxxdmdw?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 44 - -33. Let y = -76.98 + w. Let k = -0.02 - 0.48. What is the nearest to 1 in k, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*s**2 + 112*s**2 - 68*s**2 - 18*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*w = -321*w - 148*w + 4608 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.1  (c) 9  (d) -4  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 9:05 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/33  (b) -23  (c) 5  (d) 4  (e) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j - 0*j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4922522 divided by 121\nAnswer: 40682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 92*m**2 + 7*m - 188. Is w(31) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 202 divided by -60.\nAnswer: -101\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 3*d + 8*d - 8.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1394862?\nAnswer: 2, 3, 7, 33211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 798\/418 - (1 - (-12)\/(-11) - 0). Factor -8712\/7 + 264\/7*t - 2\/7*t**j.\nAnswer: -2*(t - 66)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.2394 - -0.1606. What is the closest to 2 in 0.06, b, 0, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4488438 divided by -78?\nAnswer: 748073\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*t - 12*t + 5*t**3 + 6*t**3 to the form i*t + a + c*t**2 + h*t**3 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2878 - 8638\/3. Let y be (-1)\/(-10)*(1 - 5). Let d = 4.06 + -0.06. What is the nearest to 1 in r, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/18*(228\/9)\/(12\/(-18)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 141180.57 milliseconds in hours?\nAnswer: 0.039216825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllllxlllllxl. Give prob of sequence xll.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-654)\/26 + 2\/13. Let t = -18 - z. Let w(k) = 7*k + 11*k - 5*k. Let p(o) = 4*o. What is t*p(d) - 2*w(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 2:28 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -9794 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7476 - 7482.2688. What is p rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 3:16 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (42\/39)\/(86\/559). Solve -2*u = f + 3, 3*n + 5*u + 19 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i**2. Let m(o) = 71*o**2 - 2*o - 2. Determine m(x(h)).\nAnswer: 284*h**4 - 4*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000050822 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 36 = -2*m, 0 = 5*m + k + 4*k + 60. Let j be (0 - 18)*m\/12. Solve j = 2*g + g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 19*g**2 - g + 22. Let d be v(19). Suppose 4*b = -d*b. Solve b = 2*l - 5 + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 226 - 221. Which is the closest to -2\/5?  (a) t  (b) -2\/11  (c) -360\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4445 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 279 and -4.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 40398 - -1694?\nAnswer: 41a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 plus 2372608891?\nAnswer: 2372608863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10345 - 413719\/40. Calculate the common denominator of d and 53\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64916983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -293, -772, -1251, -1730?\nAnswer: -2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 + 41\/6. Let l = -2 - -3. Sort l, -0.2, r in descending order.\nAnswer: l, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4*((-5)\/18)\/(-5). Let x be (1 + 0)*(-5 + 5). Suppose x = -q + 6*q. Put q, -0.2, l in increasing order.\nAnswer: l, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36940481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33 - -120. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 427.08 - 420. Let o = 13 - 6. Let y = i - o. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.197 * -1.745.\nAnswer: -0.343765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -3  (c) -10151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(272) - sqrt(272)*-2) + -5 - sqrt(51)\/(sqrt(54)\/sqrt(2))) + -4)**2.\nAnswer: -210*sqrt(17) + 21554\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -24 - (-902 + 936)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101000011 - -1001110011001?\nAnswer: 1010011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of 0 + 1\/10*u**5 + 2*u + 3\/2*u**2 + 0*u**4 + 0*u**3. What is the first derivative of g(t) wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 1699 = 1103. Let p = -288 - y. Calculate the highest common divisor of 250 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2067603577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 4:57 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -143*b - 138*b - 72 + 69. Let m be d(17). Round m to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of 5*v**8\/168 + 53*v**4\/24 - 18*v**2. Find the second derivative of x(s) wrt s.\nAnswer: 200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5a + -2990?\nAnswer: -2931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(99)*-2 - (sqrt(99) + -3*(sqrt(99) + (sqrt(99) - -3*sqrt(99) - sqrt(99))) + sqrt(99)))\/((sqrt(90)\/sqrt(2))\/sqrt(5) - 1*sqrt(9)*-2).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 7*b**2 + 2*b - 36. Let o be r(-8). Calculate the highest common factor of 1212 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 964 and 1446?\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002678857572 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/6*1*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*d + 19. Let p be (1\/(-2))\/(2\/d). Suppose 0 = 9*m - 14*m + 25. Which is the closest to 1?  (a) p  (b) m  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5520 a factor of 1305443785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 971726002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/38064880 and -121\/8080?\nAnswer: 38064880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 11*c**2 + 12*c + 29. Let n be o(-12). Suppose 0 = 5*q + 4 - n. Differentiate 2*w**4 + w**4 + 21 + q - 12*w**4 with respect to w.\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 877.5886 grams?\nAnswer: 0.8775886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3258, 6479, 9714, 12969, 16250, 19563, 22914, 26309?\nAnswer: 29754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 282559733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 9:10 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 86*k - 327*k - 359*k + 3*k**2 - k**2 to the form l*k**2 + g + b*k and give b.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -2\/5, 5, -0.5, 2313756?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 35245273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16199, 30621, 45047, 59477?\nAnswer: 73911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 200\/210 - 2\/3. Suppose -3*m + 9 = -6. Which is the nearest to q?  (a) m  (b) -1\/3  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -962 + 1022. What is the highest common factor of 324 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 divided by -25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 7022, 7024, 7026?\n\"Answer: 2*s + 7020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 54 and 22653?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7275.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/35506324 and -95\/12.\nAnswer: 106518972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 496 - 492. Solve i*r + 3*m + 2*m = 4, -3*r - 5*m + 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 22804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 599*v**5 - 3*v**4 + 113*v**3 + 7*v**2 - 37872 wrt v.\nAnswer: 35940*v**2 - 72*v + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 39.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c + 6*c = -16, -i + 5*c - 34 = -8 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 149 - 150. What is the second smallest value in l, -5, 0.5, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -3*j**4\/4 + 7*j**3 - 33*j**2\/2 + 15*j + 30. Factor c(l).\nAnswer: -3*(l - 5)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-3)*(-6)\/(-4). Suppose i*p = -0*p - 10. Let v(q) = -q + 13. Let u be v(11). Put p, -1, u in increasing order.\nAnswer: p, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1927 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(637) + -3 + sqrt(637) + 4 + sqrt(637) - ((-3 + sqrt(637))*2 + sqrt(637) + sqrt(637))*-4)**2.\nAnswer: -6916*sqrt(13) + 230633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 22816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2224650 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = 2*z - 20*z. Solve 6 = z*t - t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 138572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 225 (base 8) to base 2.\nAnswer: 10010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 202734 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: Simplify (z**13\/((z\/(z\/(z*z\/(z*(z\/((z*z\/(z\/(z**15*z))*z)\/z))\/z*z))))\/z))\/((z**(-1\/4)*z)\/z*z)**(27\/4) assuming z is positive.\nAnswer: z**(-129\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136*d = 151*d - 45 - 120 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 205\/315 - (140\/63 + -2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of h**2\/2 - 2*h - 52. Let j(l) = -l**2 - 2*l + 4. Calculate 5*i(w) + 2*j(w).\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 136802 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 1 = -5*u + 4*u, 3*m + 7 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - -3. Suppose -3*i - z - 287 = 0, i = -i - z - 193. Let n be i\/(-18) + v\/(-18). What is the greatest common divisor of n and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 + 9*i - 9. Let w be (10\/2)\/(-5 - -4). Let d(u) = -u + 1. Let t be d(w). Determine f(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*r - 30. Calculate the smallest common multiple of 10 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -431*m**3*q**2 + 521*m**3 - 24*m**2*q + 2*m**2 - 1017*m*q**2 - q**2 wrt m?\nAnswer: -2586*q**2 + 3126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127552.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/11972 and 13\/656.\nAnswer: 47888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 4) + (5 - -2 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -p**6\/24 - 3*p**5\/40 + p**4\/16 + p**3\/6 - 197*p**2. Factor h(u).\nAnswer: -(u + 1)*(2*u - 1)*(5*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 714 - 521. Let i be 190 - (1 + (1 - 4)). Are o and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -26194*p**3 - 3*p**2 - 3*p + 4. Let g be l(-3). Let z = 1291849 - g. Let i = 1684625 - z. What is i rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (3*3\/(-18))\/((-2)\/1508).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 PM and 1:47 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yry when three letters picked without replacement from {r: 6, y: 4, u: 5}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 - 10*j**2 + 12*j + 15. Let b be h(-11). Suppose -3*a = -a - b. Determine x so that 7\/3*x**a + 16\/3*x + 4\/3 = 0.\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 554630550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1849, -7428, -16751, -29818?\n\"Answer: -1872*k**2 + 37*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 3 - 22)*(-555 + 555 + 118*j).\nAnswer: -1888*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/9 - (-178)\/(-6). What is the units digit of (4\/3)\/(f\/(-45))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2543*w - 2619*w + 5216*w - 756 = 0 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(((i\/i**1)\/i)\/i))**47*i**(-5)*i*i\/i**5 assuming i is positive.\nAnswer: i**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-311*k**2 + 311*k**2 + 59*k**3)*(-21*k - 6*k - 12*k) - 3*k**4 + k**4 + 3*k**4 as d*k**2 + w + n*k**3 + r*k + f*k**4 and give f.\nAnswer: -2300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x**2 + x**2 + 21*x - 2*x + 18. Let y be 120\/(-100)*((-46)\/3 + 2). Is h(y) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/1*(-28)\/56?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (4 - 13) - -3 - (2 - -3)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 7:05 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from lvvggdgvdmgggdmdggmv?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 154*j - 2931. Determine w(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - 7*t)*(-2*t**2 + 4*t**2 - 8*t**2) in the form h*t + s*t**2 + n*t**3 + o and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (4 - 37)\/(0\/1 - 1) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 199 (base 13) to base 3.\nAnswer: 101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((0\/8)\/9)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2\/15 + 1744*c\/15 - 5480.\nAnswer: -2*(c - 822)*(c - 50)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-26)\/12 + 15\/18)*(-16)\/(8096\/(-33)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 19*l**2 + 6*l + 5. Give c(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (-6 + (0 - 0) + 11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 48, 106, 156, 198, 232?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v**3 - 2*v**2 + 3*v. Let m(y) = y**3 - 4*y**2 - 2*y + 9. Let g be m(4). Let n(l) = l**3 - l**2 + l. What is g*n(b) - k(b)?\nAnswer: -2*b**3 + b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 1. Let o be (-3 + 3 - -2) + 2. Let w(k) = 2*k - 3. Give o*r(f) + w(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 6.06. Let u = f + -3.94. Which is the third smallest value?  (a) 0.1  (b) u  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4498460 times 5?\nAnswer: 22492300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -942781 (base 11) to base 2.\nAnswer: -101110001000011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6453600 is divided by 1521.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-6) + (-96)\/(-9). Suppose h = 5*n + 3*f, n - 3*f = 14 - 1. Let t = 6 + 5. Solve n*s - t = 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 86*s**3 + 5*s - 23 - 3*s - 7 + 2 wrt s?\nAnswer: 516*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3205 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 5*m**5 + 5*m**5 - 8*m**5 - 2*m**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1\/9, -4629011, -1 in decreasing order.\nAnswer: 1\/9, -1, -2, -4629011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 11*v**2 + 8*v - 17. Let f be a(-10). Find m such that 7*m**2 - 3*m**f + m + m**2 - 5*m - m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*x**2 - 3*x**4 + 15 - 4*x**4 - 15 wrt x?\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = n - 0*n - 302, 0 = -n + 3*u + 294. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4919, -4917, -4915, -4913?\nAnswer: -4911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*a**3 - 517*a**2 + 3 + 15*a + 192*a**2 + 167*a**2 + 170*a**2 to the form h*a + f + x*a**3 + u*a**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the second derivative of 0 - 53*q - 1\/3*q**4 - 24*q**2 + 20\/3*q**3 - 1\/10*q**5. Factor u(i).\nAnswer: -2*(i - 2)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*z - 3. Let o = -5 + z. Let p = -1 - o. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/19 greater than or equal to 2599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 26  (b) -4  (c) 0  (d) 1  (e) -186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 divided by -479?\nAnswer: 23\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -146, 188, 1088, 2836, 5714, 10004, 15988, 23948?\nAnswer: 34166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -7*c - 4. Let p(u) = -99*u - 55. Let d be 14340\/260 - 4\/26. What is d*n(t) - 4*p(t)?\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 2*d + 30. Suppose -4*t + d + 169 = 0. Let m = 142 + 39. Calculate the remainder when m is divided by t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - ((57 + -49 - 18) + (-3 + 1 - -31)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**6*(o\/o**3*o)\/o)\/(o**4\/(o**(-1\/14)\/o)))\/((o*o**(-1\/3)\/o*o)**(1\/5)\/(o**4\/o*o\/(o**2*o))) assuming o is positive.\nAnswer: o**(-43\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1035, -1033, -1031, -1029, -1027?\n\"Answer: 2*c - 1037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -201200 (base 5) to base 6\nAnswer: -45425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2311413 - -10?\nAnswer: -2311403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -990873*t**2 + 330294*t**2 + 330286*t**2 + 330290*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 - 2*n**2 + 3*n**2)*(0*n + 3*n**3 + 0*n) + 4*n**5 - 5*n**5 + 2*n**5 + 5*n**5 - 4*n**5 + 0*n**5.\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -4*b + 68, -b + 4985 - 4778 = 25*h for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 23416*s**4 + 23416*s**4 + 97 - 20 + s**2 - 46833*s**4 + 23*s**2 in the form n*s**3 + b*s**4 + w + l*s + g*s**2 and give w.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-33730)\/(-90) + (-2)\/(-9). Suppose 5*r = -5*q + v, -r + 399 = 5*q - 4*r. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.97 rounded to 1 dp?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6*60.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, -26.\nAnswer: -26, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(12) - (sqrt(12) + sqrt(12)*-2))**2 - sqrt(3))*-1.\nAnswer: -288 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 17*d**2 + 29*d + 20. Give f(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 294 + 27609397996?\nAnswer: 27609398290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*i + 7 - 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-1 + (sqrt(8) - sqrt(2)) - (-4 + sqrt(18))) + sqrt(12)\/(4*sqrt(24)\/sqrt(4) + sqrt(6))).\nAnswer: -18 + 54*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s + 11*s - 5*s + 2 - 5*s + 9*s**3. Let a be l(1). Suppose -a*k + 14484 = -7576. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1 + -11 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -4*n + 3*t, -4*n = n - 4*t + 48. Is (-314)\/n + 2\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 119.12 and -310.\nAnswer: -36927.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-13 + 3)\/(-5)*4 - (-9301)\/(-1179)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -118610200 rounded to the nearest 1000000?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 8, 34, 86, 176, 316?\n\"Answer: 2*y**3 + y**2 + 9*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - (34\/(-11) - (-162)\/(-1782)). Factor -2\/11*c**2 + o*c**3 - 4\/11*c + 0.\nAnswer: 2*c*(c - 2)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(1300) + (4*sqrt(1300) - sqrt(1300)) + sqrt(1300))**2.\nAnswer: -97500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 370, 733, 1084, 1423, 1750?\n\"Answer: -6*d**2 + 381*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47924 is divided by 15548?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -71*j**2 + 140*j**2 + 34*j**2 as y*j**2 + l + k*j and give y.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 148\/(-481)*-52 + -23.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 8*l**2 - 4*l - 15. Let a be b(-6). Let q be 4\/(-18) - 833\/a. Calculate the highest common factor of 26 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21080.99993723 - -21081. What is f rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1995 + -1405. Suppose 0 = 3*g + m - 772, 3*m + 166 = 3*g - f. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 + 2 - 2)*(-18*c**2 + 20*c**2 + 22*c**2).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18404.\nAnswer: 2, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 247885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 48*i - 2240. Determine n(46).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q**41))\/(q*q**(-4\/25)*q)*(q**(-12)\/q*q)**(-2\/3) assuming q is positive.\nAnswer: q**(-871\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 44\/35 + 5\/35\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 17*s - 5. Let h be d(5). Suppose 0 = 2*q - 3*c - 29 - h, -q - c = -57. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14230356?\nAnswer: 2, 3, 7, 169409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105*b - 97 - 65 - 1166 = 1297 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11101000001110111 (base 2) in base 6?\nAnswer: -2314251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {q: 1, l: 1, a: 7, s: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1240 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1676 = 5*p - 929. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/(-6)*124104\/25855\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*q + 989 = 14*q. Calculate the remainder when q is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1 - 11590\/(-6) - (-8)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**4\/7 + 240*s**3\/7 - 2379*s**2\/7 + 2136*s\/7.\nAnswer: 3*s*(s - 8)*(s - 1)*(s + 89)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 - 144*d + 4028. What is the remainder when 404 is divided by p(107)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 2*s**5\/3 - 6*s**4 - 106*s**3 - 182*s**2\/3 + 460*s - 288 = 0.\nAnswer: -8, -3, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1528 = 4*d - 408. What is the greatest common divisor of d and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of -u**4\/12 + 2*u**3 + 7*u**2\/2 - 2*u. Let q be y(10). Let i = q + 86. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4386379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qphspsnssnkps. What is prob of picking 1 s, 2 n, and 1 q?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 7, c: 3, j: 7, y: 2}. Give prob of picking 1 y and 1 m.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**0*i\/(i\/(i*i**18)))\/(i\/i**(-1))**9 assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 4. What is the smallest common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {w: 4, m: 1, f: 2, k: 1, d: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 5 = y. Find the second derivative of -1239 - 3*x**2 - 5*x**y + 21*x + 1239 wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 156  (b) -81  (c) -2  (d) 0.2  (e) -2\/23  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -20*s + 123. Calculate the lowest common multiple of t(5) and 2\/6 - (-22)\/6.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from otobzoto. What is prob of sequence otz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 708216*a**5 - 1019504*a**2.\nAnswer: 42492960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aqaazkkqqatqoak. Give prob of picking 1 k and 2 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 487 divide 359406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4f + 1285?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 7*i + 36. Let o be 6\/i + (1 - -2). Let y(r) = 203 - 203 + o*r. Let g(n) = 11*n. Give y(g(t)).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = y - 5*o + 7, -2*y - o = 9. Let s be 10\/18*(-6)\/y. Let f be 2\/(-3) - (-2)\/(-15). What is the smallest value in s, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1135*p**3 - 4*p**4 - 1910*p**3 - 466*p**2 + 1175*p**3 + 70*p**2.\nAnswer: -4*p**2*(p - 99)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p**3 + 57*p**2 - 228*p - 26. What is h(14)?\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 909, 911, 915, 921, 929, 939, 951?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 409866781.\nAnswer: 2843, 144167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 524253962 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 - 6*s**2 + 6*s + 1. What is the least common multiple of k(5) and (-4)\/((-3)\/2 - (-420)\/312)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 953 - 947. What is the third derivative of -7*d**4 - z*d - d + d**5 + 11*d**4 - 21*d**4 + 17*d**2 wrt d?\nAnswer: 60*d**2 - 408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -69.6 + 46.7. Let z = m - -23.89. Round z to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k - 13. Let j be r(13). Let m(p) be the second derivative of 3*p - 1\/2*p**2 - 2\/3*p**3 + j + 1\/6*p**4 + 1\/20*p**5. Determine m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.34973845 and 0.5.\nAnswer: 0.15026155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 102*x + 67. What is p(0)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**3\/2 + 2331*t**2\/2 = 0 for t.\nAnswer: -2331, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 686 is divided by 97.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 16 = -4*y. Let u(i) = -i - 4. What is the remainder when (2\/4)\/(2\/4) is divided by u(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -12 - 3. Let s be 2 + l - 8\/(-2). Suppose 0 = -s*t + 7 + 20. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2257605418 to the nearest integer?\nAnswer: 47514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33695*l + 6*l**3 - 42512*l - 22*l**3.\nAnswer: -16*l**3 - 8817*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 51*w**2 - 3*w - 30*w**2 - 11*w**2 - 9*w**2. Suppose 18 = -4*p + o + 2*o, -3*o = 3*p + 3. Give i(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -120, -119, -118, -117, -116?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -461, -1862, -4197, -7466, -11669, -16806?\n\"Answer: -467*w**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**4 - g**3 + g**2 + g. Let o be 1*(128\/(-80))\/(1\/(-15)). Let d(c) = 9*c**4 + 31*c**3 + 135*c**2 + 113*c. Let p(z) = o*j(z) + 3*d(z). Factor p(f).\nAnswer: 3*f*(f + 1)*(f + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -1699*k + 38. What is the units digit of o(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7874827 to the nearest integer?\nAnswer: 2806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3413 divided by 111?\nAnswer: 3413\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 6:55 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**2. Let y(a) = -2*a + 4. Let d(t) = 637*t - 1764. Let c(k) = -2*d(k) - 882*y(k). Determine c(r(j)).\nAnswer: 980*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 188, 187, 188, 191, 196, 203, 212?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6792 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 900 and 30?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n - 2*y - 4, -80*y = -77*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.160551 - 75139004?\nAnswer: -75139002.839449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(135)\/(sqrt(5) - (sqrt(5) + sqrt(5) + 2*sqrt(5) + sqrt(5))) + -4*sqrt(27)*3)\/(1*(sqrt(9) + (sqrt(63) - sqrt(315)\/sqrt(5))\/sqrt(7))*-4).\nAnswer: 49*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/6 + 10\/(-15). Let j(i) be the second derivative of i**5 - i**4\/12 - 4*i. Is j(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1169 - -1194. Calculate the highest common divisor of 125 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + n - 1993 = -3*j, -5*j = -3*n - 2504. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194 = 3*k + 3*m - 280, m = -2*k + 314. Let s(h) = 6*h + 311*h**2 - 156*h**2 - 4 - k*h**2. What is s(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99600 = 14276*z - 19256*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -13*h. Let o(w) = 35*w - 2. Let s(r) = -144*r + 9. Let q(p) = -21*o(p) - 5*s(p). Give c(q(i)).\nAnswer: 195*i + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(144)\/(sqrt(6)*4))\/(-3*sqrt(192)))**2 + 0).\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 231\/6*(-4 - (-32)\/7). Solve -j*s - s - 400 - 12*s - s**2 - 5*s = 0 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 4 - -3 - (8 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 6, 2, 107, -166.\nAnswer: -166, -2, 1, 2, 6, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-25)\/(-750))\/((-1)\/9)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -4*j**2 - 3*j - 3. Let k(i) = 5*i**2 + 3*i + 2. Let v(t) = -3*k(t) - 4*u(t). Suppose -s = -363 + 368. What is the units digit of v(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 292840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 345 and 920.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2*z**3 + z**2 - 1. Let f(c) = 11*c**3 + 26*c**2 + 32*c + 9. Let r be -6*(-5)\/10 - 7 - -1. Let w(o) = r*y(o) + f(o). Find m, given that w(m) = 0.\nAnswer: -2, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97784.36nm in centimeters?\nAnswer: 0.009778436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -11\/12, 52\/7, -1, 36?\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00042799 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -109788\/17 - -6458. Which is the fourth biggest value?  (a) 2\/5  (b) 0  (c) -0.8  (d) 36\/17  (e) i\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x + 2*x - 7*x)*(10 + 9 + 8) + 2*x - x - 2*x - 1 + 2*x + 1 + (-2 - 1 + 1)*(4*x - 2*x - 3*x).\nAnswer: -51*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 + 8.18. Let z = q + -8. What is z rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 + s. Let q(a) = -6*a**3 - 5*a**2 + 2. Let d(y) = 118*y - 10976. Let l be d(93). What is l*r(j) + q(j)?\nAnswer: -6*j**3 - 3*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwppwpwww. Give prob of picking 1 p and 3 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 58 + -53. Let a = -23 - -14. Let g(j) = -j**3 - 8*j**2 + 8*j - 5. Let p be g(a). Solve -5*c - 4*b + 31 = 0, p*c - i*b + 3 = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21876*n**2 + 16324*n?\nAnswer: -43752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 13, 55, 133, 253, 421, 643?\n\"Answer: k**3 + 12*k**2 - k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 AM and 9:09 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2 - 3*p - 6. Let o(s) = -2*s**2 + 4*s**2 + 11*s**2 + 25 + 13*s. Let z(y) = -9*c(y) - 2*o(y). Is z(-4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.211 + -7.511. Which is bigger: g or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 + 23*r**2 - 96*r - 291. Let a be p(-19). Calculate the highest common factor of a and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/((o**(-18)\/o*o*o)\/o))\/(o\/o**(-3\/19)))**45 assuming o is positive.\nAnswer: o**(15255\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00119714 to 6 dps.\nAnswer: -0.001197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of -u**4\/4 - 938*u. Let a(h) = 773*h. Give r(a(c)).\nAnswer: -1792587*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a561 + 157?\nAnswer: a6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q + 1. Let v be p(-4). Sort v, -2, 5, 4 in descending order.\nAnswer: 5, 4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5101 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 175*y - 9194634 = 475341. What is the ten thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(65) + (sqrt(65) - (sqrt(65) - 2*sqrt(65))) + sqrt(65)) + sqrt(65) - (sqrt(65) - -2*sqrt(65)*6))\/(1*sqrt(5)*5*1).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*v + 376 = -46*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 299 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from {b: 9, l: 2, j: 7}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1100 and 3200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -6*y**3 - 38*y**2 - 7*y + 3. What is p(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 43235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a millimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 5*r**3 - 11*r**2 - 5*r. Let d = -12 + 14. Let t(u) = 3*u + 6*u**2 - 5*u**3 + d*u**3 + 0*u**2. Give -4*b(s) - 7*t(s).\nAnswer: s**3 + 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_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: Suppose 4*g = 4*b - 7 - 53, -2*b + 23 = 5*g. Calculate the remainder when (2160\/(-21))\/(-4) + (-2)\/(-7) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -440, -906, -1406, -1940, -2508, -3110?\nAnswer: -3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - 2 - (5 - (6 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -r - 6. Let a(p) = 2*p**3 + 9*p**2 - 13*p - 13. Let y(l) = -l**3 - 4*l**2 + 6*l + 6. Calculate r*y(h) + 6*a(h).\nAnswer: -h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 - j - 1. Let m(a) = -4 - 1 - 3 + 7 + a. Give m(s) - w(s).\nAnswer: s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 9, r: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s + 6*s - 4*s. Let k be w(3). Is 6 a factor of (k\/(-10))\/((-6)\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 s, 1 p, and 1 f when four letters picked without replacement from petsfsflftef.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -206376 plus 1770?\nAnswer: -204606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -r**3 - 48*r**2 - 84*r + 13328 = 0.\nAnswer: -34, -28, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 153818 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -117, -426, -925, -1602, -2445?\n\"Answer: 2*r**3 - 107*r**2 - 2*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 6:11 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**2 - x**2 + 45*x**3 - 5*x**2 + 2*x**2 as m*x**2 + a + u*x + h*x**3 and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 21. Which is bigger: y or 5\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (9 - 6) + (63 - 1)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*t + 34 - 3*t**3 + 11*t + 0*t + 5*t**3 - 35 to the form j*t**2 + l + s*t**3 + h*t and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 589 is divided by 585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 6*o**3 + o**2 + 5*o. Let m(j) = j**3 - j. What is -5*m(q) - w(q)?\nAnswer: -11*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x - 1. Let y be 0 + -2 - 8\/(32\/20). Let l(b) = 4*b + 3. Give y*a(q) - 2*l(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000010876321357 rounded to seven decimal places?\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -17, -548, -8.\nAnswer: -548, -17, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3887289618 to the power of 1\/3, to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 9\/10  (b) -1\/2  (c) 1\/2  (d) 2  (e) -127  (f) 3\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 283 - -31619153.\nAnswer: 31619436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 d when four letters picked without replacement from yddiyddiuddyipu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 21212?\nAnswer: 21204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 199120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -29\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-6 + -3 + 1 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 772900173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 8) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 3*l + 375, -6*l = -l. Calculate the highest common divisor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*f + 100*f + 398062 = 0. What is f rounded to the nearest one hundred?\nAnswer: 56900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-920)\/(-1104))\/(172\/(-32) + 6)*63.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 670 - 1055. Let a = w - -1535\/4. What is the closest to 1\/4 in -1\/5, a, -0.5, -7\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/(-15)*3 + 2\/1. Sort t, 5, -18, 1 in descending order.\nAnswer: 5, t, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1448 is divided by 704.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(216)*-3)\/sqrt(8).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 244*y**2 + 2 + 12*y**2 - 2.\nAnswer: 256*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 10:32 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6403 - 2903. Suppose -90*n + j = -83*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**3\/7 + 682*w**2\/7 + 50048*w\/7 + 1053768\/7 = 0 for w.\nAnswer: -249, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of -13*j**5\/20 + 77*j**3\/6 - 9*j**2 + 3. Let w(l) be the second derivative of a(l). Find the first derivative of w(d) wrt d.\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*j + 2*n, 2*j + 0 + 4 = 2*n. Let x(z) be the first derivative of -z**3\/3 - 7*z**2\/2 - 6*z + 2. Let u be x(-6). Which is greater: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0185 + 3.0185. What is the closest to 0 in w, 0.3, 2241, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4*1\/(-1))\/(98\/21))\/(-2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -195 (base 11) to base 16\nAnswer: -e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 407933182 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1071*a + 1091*a - 2160*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/16786 and 95\/352506.\nAnswer: 352506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/7249 and 38878 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -747*j**3 - 2*j**2 - 762*j**3 - 754*j**3 + 2279*j**3.\nAnswer: 16*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 2\/1829535293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*i - 8*i + 26*i)*(0 + 2 - 4) + (-2 + 1 + 3)*(6*i + 0*i - 3*i).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3967291594 to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 248 (base 9) to base 3\nAnswer: 21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 2*h = 64. Suppose -3*v = v - h. Suppose -v*o + 0*i - 4*i = -12, 0 = -4*o - 3*i + 13. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 68*h**2 + 4455*h - 1544. Calculate d(-109).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1.4  (b) 0.1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*m**5 + 1972*m**4 - 25524*m**3 + 26588*m**2 - 3096*m = 0. What is m?\nAnswer: -43, 0, 2\/15, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 p, 1 z, and 1 n when four letters picked without replacement from {n: 2, p: 3, r: 2, q: 6, z: 1}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of -s**5\/60 + s**4\/24 - s**3 - 3*s**2. Give p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 7 + 22 = 0. Let u be -3 - (7 + -2)\/v. Calculate the remainder when 42 is divided by 15 - -2 - (u - -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1056344 (base 7) in base 8?\nAnswer: -401463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 6 = 0, -3*m - 2*i - 11 = -0. What is the units digit of -2*(-3)\/(-6)*(-226 - m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - (1911 - 1936 - (63 - 1)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 2:39 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 3*b - 14 = 0, 53*t - 54*t = 5*b - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -486 or -493?\nAnswer: -493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-10\/3)*k\/(k\/k**(2\/15)))**(-7\/2))**(-14) assuming k is positive.\nAnswer: k**(-784\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20*222\/8880)\/((-2)\/(-26)*-1)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32895 divided by 129.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1 - (-94 + 50)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 12:43 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40, -47, -54, -61, -68?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - (4 + -17)) + -1 + 9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 PM and 10:08 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 1 = -7*w. Let i(o) be the second derivative of o**5\/20 - o**4\/12 - o**2\/2 + 15*o - 2. Let m(b) = 2*b**3 - b**2 - 1. Give w*i(x) + m(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 88\/(-550)*54\/540?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*q + 16*q + 40 = 5*p, 9 = -5*p - 2*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 21*y**2 + 18*y + 17. Calculate b(-20).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153 = -5*z + 4*r, z + 2*r - 39 = -0*z. Suppose -3*w = 0, -4*w - z = -5*v + 132. Let d = 42 + v. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12843*t - 23 = 12841*t + 3*d, 3*t - 5*d = 37 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*h**2*o + 7*h**2 - 5*h + 7*o + 132 with respect to h.\nAnswer: -6*h*o + 14*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppsnpopoopnnnpu. What is prob of picking 1 p and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 153785\/7 + -22107. Let j = q - -138. Factor 4\/7*v**2 + 0 - 2\/7*v**3 - j*v.\nAnswer: -2*v*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*l = 33*l - 44*l + 420 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/35 in -9, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + 7a216?\nAnswer: 7a21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*a + 1051 + 2*a - 1010 - 6*a**4 wrt a?\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112*q - 847241 + 75*q + 847241.\nAnswer: -37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {i: 1, a: 1, g: 2, m: 2, h: 2, u: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 11 + 4 = 0. Suppose -u*t = 2*t - 56. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -261844 and 5.09.\nAnswer: -1332785.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-2 - 0) + (-1 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y**3\/11 - 101*y**2\/11 - 79*y\/11 + 26\/11 = 0. What is y?\nAnswer: -1, 1\/4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + x + 4. Let b be d(4). Suppose -3*h + b = -12. Let t(y) = 22*y - 88. Let o be t(4). Solve -5*k - i = -o - 3, -4*k = -4*i - h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 552 is divided by (-10)\/(-15) - (6 + (-5526)\/54)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 11*w + 6. Let k be d(-3). Let m = k - -29. Differentiate -4 + v**2 - 3*v**m - 3*v**2 + 0 with respect to v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - 1)\/((-14)\/1498) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25*d**3*y**2 + 2019421*d**3 + 1226*y**2 - 12573 wrt d?\nAnswer: -75*d**2*y**2 + 6058263*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -67655, -62508, -57361, -52214?\n\"Answer: 5147*r - 72802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15*g*h*t**2 - 149*g*h + 153*g*t - 23*g + 268*h*t**2 - 4*h + 3 wrt t.\nAnswer: -30*g*h*t + 153*g + 536*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of -l**6\/120 - 7*l**5\/60 + l**4\/3 - 2*l**3\/3 - 727*l**2. Calculate x(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 10:01 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 0. Let t = 124 - 870\/7. Sort x, t, 2\/19 in ascending order.\nAnswer: x, t, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*((-7)\/(-22) - 6\/(-33)). Let f = b - -3. Solve -f*t + 0 = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (160\/(-14))\/(-8)*126. Suppose 53 + 47 = 5*v. What is the greatest common divisor of m and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91435774 to the power of 1\/3, to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -200 = -5*w - 215, -b + w = 5 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*w + 7*w - 8 + 0*w.\nAnswer: -36*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -3) + -2 + 1 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-4)*(3 - (-156)\/(-24))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*o + 24. Let h be 2\/(-6) + o\/48. Which is the second biggest value?  (a) 0.2  (b) -2  (c) h  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of -d**7\/525 + 19*d**6\/150 + 41*d**5\/50 + d**4\/15 - 164*d**3\/15 + 181*d**2 + 2. What is n in r(n) = 0?\nAnswer: -2, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -526?\nAnswer: 7\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 302 is divided by ((-59153)\/2382)\/(-2 - (-11)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 681 and 22019?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 1. Let z be (1\/(-3))\/((-2)\/(-6)). Let m(h) = h**3 - 10*h**2 - 3*h + 25. Let j be m(10). Sort z, d, j in decreasing order.\nAnswer: z, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-146720)\/(-240))\/((-2)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 4*b - 6. Let s be a(6). Suppose -s*d - 15 = -d. Sort 5\/3, d, 0.1.\nAnswer: d, 0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -4*o**2 + 11*o - 9. Let y(f) = 6*f**2 - 17*f + 14. Calculate 8*m(r) + 5*y(r).\nAnswer: -2*r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(352)*-5*-2)\/(sqrt(12)\/((1*sqrt(54))\/sqrt(9))).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 12843982 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62250 - 307560 = -4810*m for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 8 = -f, -f - 2*f = -6. Let n(j) be the second derivative of -j**4\/3 - j**3\/2 - j**2\/2 - j. Let v(c) = 3*c**2 + 2*c. Give z*n(r) - 3*v(r).\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1449525 divided by -26355.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-38)\/(-8))\/((-11)\/44). Let b = p - -33. What is the remainder when 27 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 0, 33, 68, 105?\n\"Answer: f**2 + 30*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7005 or -7004?\nAnswer: -7005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188*i - 208*i - 4 - 156 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**4 - 4*y**3 + 6*y**2 - 4*y + 1.\nAnswer: (y - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of 0 + 0*r**3 + 39\/2*r**2 - 16*r + 0*r**4 + 0*r**5 + 1\/30*r**6. Differentiate x(c) with respect to c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18292 is divided by 18049?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 - 2*f**2 - 4*f + 1. Let c be x(3). Let s(i) = 10*i**2 - 4*i**2 - 8*i**2. Determine s(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 0 + 10. Suppose -5*q + 0*q + 16 = -4*v, -4*q - 20 = 5*v. Put z, 5, v in increasing order.\nAnswer: v, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*v - 5*h + h, -3*v + 18 = 4*h. Let q(s) = -s**2 + 3. Let d be q(0). Suppose -d*x = -x + 5*g + 21, 2*x + 1 = -g. Solve -v*c - 16 = -x*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + (-1812)\/(-930))*1099\/(-4396).\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3}. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/(9\/(-15)) + (-4724883)\/(-87)?\nAnswer: 2, 13, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27\/2?  (a) -0.37  (b) 4\/3  (c) 0.2  (d) -749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - t - g + 16, 0 = -4*g - 8. Solve -6*d + d - 30 = -5*a, -a - 5*d - t = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 25\/21  (b) 17  (c) -65\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -315, -273, -229, -183?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 420 and 3013815.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 13*z + 8*z = -5, -4*j + 30 = 2*z. Solve -24 = -4*t - 4*v, -t + j*v = 3 + 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-5*sqrt(1008))**2*-3*4 + (5*sqrt(1008)*1)**2 + ((2*sqrt(1008) + -2)**2 - sqrt(1008)).\nAnswer: -575564 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 518 + -518.138. Put 5\/6, 2\/5, y, -5\/6 in ascending order.\nAnswer: -5\/6, y, 2\/5, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (56\/(-9996))\/(32\/224)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 24, 23, 22, 21?\n\"Answer: -d + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*j + 75. Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -279 + 885. Let p = 285 + j. Let a be (p + -1)*(-2000)\/(-2). Round a to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 16 in descending order.\nAnswer: 16, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 10. Suppose 12 = k*a, 0 = -3*w - 0*a - a + 9. Solve 5*s = 2*q + 15, w*q + q + s = 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5578 (base 13) in base 10?\nAnswer: -11929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 65*w - 6. Let d be a(4). Let k be 9 + -9 - 5 - -13. Suppose 0 = -k*g + 6*g + d. Is 35 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -980*a - 14165 - 13163 - 49112 = 0 for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 5*(sqrt(2) + 0)*-5 - (sqrt(12) - sqrt(300)*2)\/(2*sqrt(6)*5)) + -2.\nAnswer: -241*sqrt(2)\/10 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 529123 equal to 529129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + g - 4)*(g - 1 + 1) + (9*g + g - 2*g)*(0*g + 2*g - g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002628581682 rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 61*x**2 + 2*x - 123. Let t be z(61). Is t less than -9485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, p: 1, v: 2}. Give prob of sequence vvb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2\/10 + 1521*a\/2 - 6213478\/5.\nAnswer: -(a - 5228)*(a - 2377)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (29 + -27 - (6 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of (11616\/7)\/((-1455)\/105 - -14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of -23\/240*z**5 - 5\/24*z**4 + 2*z**2 + 0 - 1\/6*z**3 + 0*z - 7\/480*z**6. What is c in t(c) = 0?\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2\/5 + 232152*b\/5 + 232156\/5.\nAnswer: -4*(b - 58039)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -110040051 - -4?\nAnswer: -110040043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 203*a - 9. Let p(l) = -102*l + 5. Determine 5*p(h) + 3*x(h).\nAnswer: 99*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32 - 37. Let v(m) = -10*m - 10. Let r be v(x). Suppose 13*g - r = 8*g. Solve g*a - 3*a = -15, -3*a - 5 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 6*q**2 - 2. Let x(y) = 16*y**2 + 22*y - 28. Let i(o) = 3*o**2 + 4*o - 5. Let j(z) = 11*i(z) - 2*x(z). What is a(v) + 2*j(v)?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1815042 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6289 = 4*s + 11311. Round s to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 + -34. Let y = q - -26. Let k = y - 11. What is the smallest value in 0, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/2 - (-15)\/22. Suppose -20*j = -26*j + 30. Suppose -j*s - 2 = 3*c, 4*s - 2*s + 2*c = -4. What is the closest to 1\/3 in p, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 452*o - 56080. Give h(123).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -572 - 580. Let y = a + 3524\/3. Let h = -2416 + 26596\/11. Calculate the common denominator of y and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand t - t - 2*t + (1 - 5 + 2)*(-2 + 2 - 2*t) + 2*t + t - 4*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.05 take away 69084?\nAnswer: -69096.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4373 + 5182. Suppose -5*y - 8*y + s = 0. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 2 = 10. Suppose -g + 4*u - u - 1 = 0, -r*g - u = -17. Let n = -1 + g. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 275401841?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -1\/7, -20\/19, -1\/6, 0.3.\nAnswer: -9, -20\/19, -1\/6, -1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 215 divide 288931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/5 + 1)*5. Let s(l) = -l**3 - o*l**2 + 16*l + 0*l**2 - 22*l - 4. Does 4 divide s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -166, -15377, -5, -2, -4, 5 in descending order.\nAnswer: 5, 2, -2, -4, -5, -166, -15377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-1 - -1) - (7 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 0 = 4. Let t(m) = 2*m + 11 + m - z*m - 6. Let k be t(-5). Solve k = -3*p - x + 5, -x - x = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 822 - 10 - 1\/(1\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 - 8*s + 1. Let h be v(-8). Let r be (2 - h)\/(6\/12). Suppose -r*n + m = -2*m - 441, m = n - 218. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 40\/30 + ((-102)\/9 - 3). Let q be 9075*c\/((-39)\/800). Round q to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150.2 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = v - 0. Let h be v - -2 - 0 - -3. Is -4 + 114*h + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1194*v = 1205*v - 561. Let f be (-5)\/10 - (-35)\/2. What are the prime factors of f\/v*(0 - -315)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -3*s**3 + 5*s**2 - 16*s + 10. Let k(b) = 4*b**3 - 4*b**2 + 16*b - 9. Let z(r) = -4*k(r) - 6*o(r). Suppose z(h) = 0. Calculate h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8479 (base 12) to base 9\nAnswer: -21783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 1113223?\nAnswer: 556611.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 7.061\nAnswer: -28.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of 7*j**4\/24 + 2*j**3\/3 - 3*j**2. Let v = -7244 - -7239. Let h(g) = -2 + g - 1 + 4. Calculate v*h(z) + l(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 587029 = 587029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 395 + -395.2. Put -108, w, 0 in descending order.\nAnswer: 0, w, -108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*(46\/(-12))\/(-23)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 93 + -185. Let b = 140 + w. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62985 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1992663389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31757?\nAnswer: 11, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 - 5*q**2 + 15*q + 10. Let o be w(-7). Let j(r) = 4 + r - 76*r**3 - 69*r**o + 136*r**3. List the prime factors of j(-2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -4  (b) 0.1  (c) -0.3  (d) -0.034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -113101511 (base 6) to base 15.\nAnswer: -2b9784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 259, 249, 231, 205?\n\"Answer: -4*a**2 + 2*a + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -186*n + 567*n - 719 + 361 + 355 to the form j*n + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = -k + 1932 - 1936, 3*m - 4 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of g**4\/12 - 5*g**2. Let s(f) = 4*f - 1. Determine 2*s(q) - 5*t(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/22 and -19\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {j: 6, w: 2, e: 2, y: 3, n: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 0.007\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -u**6\/75 - u**5\/25 - u**4\/30 + 11*u. Suppose i(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*z**3 + 12*z**3 - 58*z**3 + 11*z**3 + 15*z**3 + 16096.\nAnswer: -2*z**3 + 16096","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1286 and 4.681768?\nAnswer: 4.810368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1882 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-36))\/(32\/1152). Put 3, 18, 0, 32, a in increasing order.\nAnswer: 0, 3, a, 18, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1037948217 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -128 + 136 - 112\/18.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-86)\/6 + (-4)\/(-12). Let l = -18 - -26. What is the remainder when 216\/14 + (-1 - 8\/y) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 215, 874, 1973, 3512, 5491, 7910, 10769?\n\"Answer: 220*v**2 - v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 16 = -5*c, c + 36 = 5*f - 3*c. Let y = -6 + f. Let j be (-10)\/12 - y\/4. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6*(1 + (-3)\/9). Suppose 5*u = g*r - 30, 2*u - 3 - 1 = 0. Calculate the remainder when 24 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ogg when three letters picked without replacement from gaguuhhruauuguo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.3  (b) 5  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*y**4 + 60*y**3 + y**2 + 445*y wrt y?\nAnswer: 180*y**2 + 360*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14\/649, -0.91, 54.\nAnswer: -0.91, 14\/649, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/289*1156*6\/(-48).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 5 - 8)*(3 - 3 - 2*t) in the form w + r*t and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(3\/13)\/c*c\/c**(7\/5)*c*c*c**(4\/15)\/(c**(-10)*c))**16 assuming c is positive.\nAnswer: c**(31504\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2 + 3*a**2 + 0*a**2 - 2*a + 4*a**2 - a**3. What is the smallest common multiple of u(6) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 11*d - 3. Let f(y) = y**2 + 6*y + 1. Let h(t) = 5*f(t) + 3*l(t). What are the prime factors of h(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - k + 28 = -2*k, -k = -2*u + 54. Suppose -8 + u = t. Let g(y) = -y**2 - 6*y - 3. Let d be g(-5). Solve 5*n = -d*s - 24, 5*s - 2*n = -4*n - t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122*w**2 - 329*w**2 + 118*w**2 + 90*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*v = 5*v + 20*v - 1817 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-2))**(-46)\/((a*a**(-5)\/a)\/(a\/(a\/((a*a**(2\/5))\/a*a)))) assuming a is positive.\nAnswer: a**(-658\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -244 + 0*f + 270 - f. Does 16 divide l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1821107, 1821192, 1821277, 1821362, 1821447, 1821532?\nAnswer: 1821617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 0*y - 4. Suppose 0 = 3*s - s - y. Suppose -2*v = s*v - 28. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from oolkkklkollokk?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4561 = -2*w + 7*w + h, -3*h = 2*w - 1827. Suppose m - 5*m + w = 0. Suppose -2*b - m = -8*b. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155781135?\nAnswer: 3, 5, 3461803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 13727 from 687.\nAnswer: -13040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 1 = -5*a, 60 = 4*z + 4*a - 16. Let u be (-10)\/(-4)*z\/20. Solve -u*t + 10 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 376272 and 253968.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -n**3\/3 - 3*n**2\/2 - 2*n - 17. Let y be a(-2). What is x in y + 1\/5*x**4 + 2\/5*x**3 + 0*x + 1\/5*x**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6298 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, p: 2, x: 2}. Give prob of sequence xwwp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 709797446 to the nearest integer?\nAnswer: 26642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 477.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4053\/4)\/(1\/4). Suppose 4*o - 3894 = 2*o. Let g = o + q. What is g rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**1)**(-16)\/(m**(-3\/8)*m*m\/(m*(m**(-7)*m*m)\/m)) assuming m is positive.\nAnswer: m**(-181\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-11)\/(1617\/(-72)))\/((-78)\/(-21)). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -379 - -387. Which is the biggest value?  (a) 0.9  (b) o  (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/15  (b) -0.8  (c) 0.3  (d) 2  (e) 0.04  (f) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x\/x**3)*(x*x*x**(-3\/7)\/x)\/x assuming x is positive.\nAnswer: x**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 8, k: 5}. Give prob of picking 2 t.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(5\/3)\/g**(-5))\/(g*(g\/(g*((g*g**(1\/4)*g)\/g)\/g*g))\/g*g**(-4)\/g)*((g*g**(-4))\/g**(2\/11))**(15\/11) assuming g is positive.\nAnswer: g**(12455\/1452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddedepbedeao. What is prob of picking 1 e, 1 a, and 2 d?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1026 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12312 and 988?\nAnswer: 160056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -6897.42 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (23 - 72) + -7 + 20 - -9\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1418064320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2)\/(1\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o*o*(o**(-8)*o)\/o*o))**(-1\/10) assuming o is positive.\nAnswer: 1\/sqrt(o)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -141*s - 1767. Calculate a(-11).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1024980, 1024981, 1024982, 1024983?\nAnswer: 1024984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zlzolrz. Give prob of sequence zz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3145756 and 1488?\nAnswer: 37749072","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is 1932613672 to the power of 1\/2, to the nearest integer?\nAnswer: 43962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -420 + 278. Let j = q - -217. What is the highest common divisor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s + 23876 = 2803. Suppose 0 = -6*n + s - 55. List the prime factors of n.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1343743.\nAnswer: 1343743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 108681972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 18, h: 2}. Give prob of sequence hqh.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29758972 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h + 10. Let v be a(8). Let g(j) = 4*j**3 - 5*j + 1. Let w(y) = -2*y**3 + 2*y. Let f(b) = v*g(b) + 5*w(b). Differentiate f(i) wrt i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3489*i + 7301 = -2131 - 4533 + 3498 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 15\/4*v**2 + 9*v - 66 + 1\/2*v**3. Let r(n) = 0. Calculate n.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6880.965305 - -59747.\nAnswer: 66627.965305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5967 divided by -27\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-12)*9\/((-270)\/6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 553 is divided by 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 5, 1\/4, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 41444 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*c = -1667 - 3022 + 705 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3 = -2. Let z(y) = -3*y + 13. Let r(u) = -4*u + 14. Suppose -i + 0 = -3. Let g(k) = i*z(k) - 2*r(k). Determine g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -6 + 1 + 5 - 69*d. Let i be q(-1). Suppose -17 = 4*w - i. Calculate the remainder when 35 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3*f + 2 = 0. Suppose 0 = 5*r - r. Suppose 0*o - f*o + 4 = r. Solve x + o*x = 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*f + 35 - 98. Let a(y) = 4*y**2 + y - 4. Let b be a(-3). Suppose -5*g - 28 - b = -j, f*j - 2*g - 197 = 0. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13037 and -5.\nAnswer: -65185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187)*1*3)\/((-2*sqrt(44))\/sqrt(4)) - (4*sqrt(850))\/(sqrt(128) - sqrt(128)*-1).\nAnswer: -11*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.195723 - -217689.804277. Let i = n + -217690.2000008. Let d = -0.2 - i. Round d to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (r**2 + 4 + 29 + 18)*(5 - 4*r - 5) + (1 + 0 + 1)*(0*r**3 - 2*r**3 - 2*r**3) - 2*r + 3*r**3 + 2*r in the form c + d*r**3 + a*r**2 + v*r and give v.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6872666*j**4 - 1507018.\nAnswer: 27490664*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -535, -541, -557, -589, -643, -725?\n\"Answer: -u**3 + u**2 - 2*u - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 817, 1632, 2447, 3262, 4077, 4892?\nAnswer: 5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (-11 - -13)) + (9 - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 60 + -61.77. Let d = -0.23 + i. Let r = 1.9 + -2. Put d, r, -5 in ascending order.\nAnswer: -5, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s**5\/6 - 53*s**4\/6 - 694*s**3\/3 + 240*s**2 = 0. Calculate s.\nAnswer: -20, 0, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 73701 and 169632?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/4216 and 55\/8?\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 PM and 3:40 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10295 + -6339. Is 86 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100 + 40 = 34*m - 472 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -6*q**3 + 2*q**2 - 3*q + 2. Let d(b) = -19*b**3 + 6*b**2 - 8*b + 5. Let k(u) = -3*d(u) + 8*i(u). Determine k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/6 - 372\/(-36). Suppose b - y = -b. Let j(m) = m**2 - 3*m + 2. Calculate j(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**2 - w**2 + 3*w**2)*(3*w**2 - 3 + 3)*(w + 5*w - 3*w).\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i + 2. Let b = -20 - -12. Let w be p(b). Suppose w*t - 12 = 9*t. Solve t = 6*r - 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g + 1. Let w(q) = 3*q - 3. Let m be -3 + 3\/(12\/16). Let v(f) = m*w(f) + 4*i(f). List the prime factors of v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3 = l, 3*i + 0 = 2*l - 1. Let z(m) = 942*m**2 - 5*m. Is 39 a factor of z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -3*h - 16. Let w be z(-5). Which is the closest to -0.2?  (a) w  (b) 0  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/10 - 2*r\/5 - 21\/10.\nAnswer: (r - 7)*(r + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.877 rounded to 1 dp?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -77 - 80*d + 77 + (-2 - 4 + 4)*(3*d + 3*d - 5*d) as l + h*d and give h.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-28)*((-88)\/2772)\/(4\/56)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (46 - -2)\/12 + (-1 - (-33978)\/(-11330)). Is 0 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 19\/7 - (-4)\/14. Suppose 4 - 19 = -z*t. Suppose 0 = -8*l + t*l + 474. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 (base 15) in base 2?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59705 divided by 4804.\nAnswer: 59705\/4804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 9808, -2\/7, 14111, 5?\nAnswer: 14111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -1  (c) 1  (d) -4  (e) 2.18  (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {q: 6, a: 1, o: 1, k: 3, g: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/6*(-10)\/(-245).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + (4*(sqrt(171)*2*5 + sqrt(171)))\/(1*sqrt(441)*1)).\nAnswer: -44*sqrt(19)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -0.3  (b) -2\/11  (c) 0.5  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 419\/5 - 2\/(-10). Suppose -3*j - q = -0*j. Let s = j - -39. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8641040 + -13191239. Let f = 7160199 + c. Round f to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (6 + 15 + -8 + 8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1965?\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-49 + (-5626)\/(-116))*(-168 + -2).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 14 = -4*f, 16510*f = 5*a + 16476*f - 107 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50 - -38) + 9 + 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -8 + 10 + 23*v + 3. What is the tens digit of m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/(-5) + (-2)\/5. Suppose -3*w + 1 = -8. Suppose s = -b*s - w. Is s not equal to 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 15*k - 1. Let f(z) = z**2 - 14*z + 2. Let i(d) = 6*f(d) + 5*l(d). Calculate i(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21866, 21860, 21858, 21866, 21890, 21936, 22010?\nAnswer: 22118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = 18*c - 78, 5*c - 52*r + 50*r - 24 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7518036 divided by -1212.\nAnswer: 6203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 m, and 1 u when three letters picked without replacement from {m: 1, s: 4, r: 2, v: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-8)\/(-4))\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2214320 - 31?\nAnswer: 2214234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**2\/2 - 21*k - 341\/2 = 0. Calculate k.\nAnswer: -31, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1072507*f**3 + 8*f**2 - 12491*f.\nAnswer: 6435042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/17  (b) 2\/161  (c) 0  (d) -0.1  (e) 4\/23  (f) 0.11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -679, -1406, -2119, -2812, -3479?\nAnswer: -4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -6*b**2 - b. Let c(o) = -7*o**2 - o. Determine 6*c(n) - 5*d(n).\nAnswer: -12*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {h: 8, v: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.5, -0.1, 1, -0.032?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 20*x**3 - 975*x**2 - 11*x - 22948180.\nAnswer: 60*x**2 - 1950*x - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 less than 9.43?\nAnswer: -245.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**1\/x)**(6\/7)\/(x**(-1\/9)*x**(-4\/7)*x)*(x**(-2))**(-1\/33)\/(x\/(x*x**(3\/2)*x)*x**(2\/13)) assuming x is positive.\nAnswer: x**(37645\/18018)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/(-6)*(-3 - 87\/10)\/(4917\/8195)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 62 - 60. Suppose -7*h + 5*h + j + 10 = 0, -r*h - 2*j + 10 = 0. Let u = 11 + -7. Solve -3*g - 3*q = -0*q + 3, -h*g = u*q + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*p - 30 - 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -164 + 173. Suppose -4*a + 1 + q = b, -a = 5*b - 12. Solve 3*c - a*c = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w**3 - 2*w**2 - w - 1. Suppose -3 = -2*p + p. Let s(h) = 0*h**3 + 0*h**3 - p*h**2 + 2*h - 3*h - 2*h**3 - 1. Calculate -2*s(r) + 3*y(r).\nAnswer: -2*r**3 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 54 and 68.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1507282 to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 43889769 and 756.\nAnswer: 175559076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -30*d - 5. Let s = -29 + 20. Is r(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24233572 to the nearest integer?\nAnswer: 4923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7061 > 7081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 9*u - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 2491.\nAnswer: 14946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 30*i**2 - i. Suppose -4*g - 6 = -3*n, 0*g = -3*n - g + 6. Let u = 3 - n. Is y(u) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 11*y + 11. Let j be (6\/(-3))\/(2\/4). Let a = 15 - j. What is the tens digit of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.08, -2\/7, -3, 0.2, 5.\nAnswer: -3, -2\/7, -0.08, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 - 29.48. Let f = p - 0.02. Which is the second biggest value?  (a) f  (b) -2\/11  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2380)\/(-98)*(5 - -2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c*p**2 + 5245*c + 39216*p**3 + 23 wrt p.\nAnswer: -2*c*p + 117648*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.1, 437.\nAnswer: -5, -0.1, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 15*w**2 - 4. Let b(d) = 14*d**2 + d - 3. Suppose 3*m - 2*q + 1 = 0, -5 = 2*m - 4*q + 9. Let x(t) = m*b(t) - 2*p(t). What is the units digit of x(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -84 + 758\/9. Let a(n) = n**3 + 7*n**2 + 6*n - 7. Let o be a(-6). Let x(r) = -r**2 - 6*r + 10. Let t be x(o). Sort m, 1\/4, t in increasing order.\nAnswer: m, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 7, o: 4}. What is prob of sequence ol?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 394050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 65621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 2*z + 19406 + 40245, -59672 = -5*i - z. List the prime factors of i.\nAnswer: 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-1)\/((i\/i**(7\/3)*i)\/i)*(i\/(i**(-2)*i))\/(i**(3\/8)*i) assuming i is positive.\nAnswer: i**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of -300796735.5 and 0.3.\nAnswer: -300796735.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 14. Suppose 6 = h + r*h. Suppose h*n - 6*n + 24 = 0. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, m: 12, o: 2, f: 2}. What is prob of picking 3 m?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -1, 1, 7, 4, 125, -2\/3, 5?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7399 is divided by 239.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4\/7, -1\/44, -7, 2, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 - 4*n**2 - 5*n - 5. Let v(a) be the third derivative of -a**4\/24 + 8*a**3\/3 - 2*a**2 - 8*a. Let k be v(20). Calculate p(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dqeddxdjje?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 203132 + 3?\nAnswer: 203201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -540 = -5249*z + 5204*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 88\/2745 and 38\/915.\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 8:18 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**(-5\/9)*c\/((c\/((c\/c**(-5\/9))\/c))\/c)*c**(8\/9)*c*c*c\/((c*c**25)\/c) assuming c is positive.\nAnswer: c**(-172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -45 + 47 - 32\/18. Which is the closest to 2\/7?  (a) 33  (b) 5  (c) -0.4  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 5*v - 97, 2*c - 28 = -2*v - 0*v. What is the greatest common divisor of 153 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*l*o*t**3 - 25*l*o*t + 2*l*o - l*t**3 + 3*l - 3*o*t**3 - 4*t**2 wrt t?\nAnswer: -24*l*o*t - 6*l*t - 18*o*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -45504 + 317448\/7. Suppose 1062 = 5*b + 292. Let t = r + b. Is 4\/7 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 3*a**2 + 4*a + 2. Let p be q(-2). Let b be p\/((-1 + 3)*1). Suppose -4*m + 5*t - 266 = -646, -192 = -2*m + b*t. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of -229*q**5\/30 + 191*q**3\/2 - 2*q**2 - 499*q. Find the first derivative of v(j) wrt j.\nAnswer: -916*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47 - 43. Suppose -2 = -d + j*v - 13, -2*v = -4*d + 12. Solve -5 = d*h - 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -482, -956, -1428, -1898?\n\"Answer: t**2 - 477*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 68.82914.\nAnswer: -68.82914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1.74*-0.8\nAnswer: 1.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -349613, -1398409, -3146403, -5593595?\n\"Answer: -349599*q**2 + q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 41577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - 5 - (-2 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12840197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34.023 - -34. Let s = c + 0.107. Round s to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9740654 and 419454?\nAnswer: 87665886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 4426503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 7*j**3 + 6*j**2. Suppose 2*o + 5*n = -8, o - 28*n + 24*n - 22 = 0. Let w(u) = -u**3 - u**3 + u**3 - u**2. Calculate o*w(f) + r(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.9 and -186.3792306?\nAnswer: 185.4792306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 6468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 1:05 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4*h + 4 = -2, -2*h = 2*l - 18. Suppose -5*x + l + 0 = 0. Let y(i) be the first derivative of 3*i**3 - i**2 + i + 1. Calculate y(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 14062866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(6\/(-1179)*(-150)\/100)\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4767*f = -2*t + 4763*f - 20, 0 = -4*t + 5*f - 66 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 481\/1924 - 3\/((-72)\/10) - 0\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -7*k + 18. Let i(q) = -q**2 - q + 11. Let g be i(k). Let t = -81 - g. What are the prime factors of t?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-868))\/((-117)\/((-9828)\/(-24)))?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**6\/o**(-2\/5))**11 assuming o is positive.\nAnswer: o**(352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35 - 43 - 4 - (0 + -38).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 286186 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -266*r**2 - 57. Let p(h) = -19*h**2 - 4. What is -4*k(b) + 57*p(b)?\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 638\/12 - (-3)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5774483 or 5774481?\nAnswer: 5774483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 127 times 0.27\nAnswer: 34.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/(-3 - 7\/(-63)*39).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 56 = 4*z, 72*z - 28 = -3*p + 68*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(1200) - (sqrt(1200) - (sqrt(1200) - (sqrt(1200) + -1)))*3) + (sqrt(1200) + -2)*2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 1 = 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4220365990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3282*t + 2813*t + 5941*t - 848*t + 4494*t to i + m*t and give m.\nAnswer: 15682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/2))**25 assuming b is positive.\nAnswer: b**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, v: 2, q: 6}. What is prob of picking 2 q and 2 u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 19d296d (base 14) in base 7?\nAnswer: 214310266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**3 - w**3 - 2*w**3)*(1 + 2*w**2 - 1) + 18 - 18 + 6*w**5 + (-w**3 - 3*w**2 + 3*w**2)*(6*w**2 - 2*w**2 + w**2).\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.95 or -0.02?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -54?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 350888 or 350891?\nAnswer: 350891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60839, -243654, -548347, -974918?\nAnswer: -1523367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 2 = 2*d. Let z = 4 + 1. Let v(s) = -s**2 + s - 2 - d + z. Give v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -933aaba - -13?\nAnswer: -933aaa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 4*w = 2*m + 23, -25 = -5*m. Solve -5*t + c = -3*c - w, -4*t = -5*c - 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*i - 13*i - 14 = l, -4*l + 13 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**5\/8 - 3099*p**4\/8 + 369171*p**3\/8 - 1411501*p**2\/8 - 891885*p\/4 = 0. Calculate p.\nAnswer: -3214, -1, 0, 5, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 383201616 divided by -10136\nAnswer: -37806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1377 - 878. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0431 + 143?\nAnswer: 143.0431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -3*t + 1. Let l(w) = -13*w + 3. Let u(y) = -9*f(y) + 2*l(y). Let h be 1\/(1\/(-3))*-4. Suppose 0*m + 3*v = -3*m + h, 0 = 5*m + v - 16. Calculate u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 673 - 671. Let h = 13 + -28. Let b be (-10)\/h*(-6)\/(-4). Solve b = v, 0 = i*q + 5*v - 8*v + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/5 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -6.2 and -2486329676?\nAnswer: 2486329669.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and 7071601.\nAnswer: 7071602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/190 and 169\/102942?\nAnswer: 514710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*y**4 - y**4 - 2*y**4)*(3 - 4 + 2) + 5*y**4 + 2*y**4 + y**4 - y**2 - y**4 + y**2 to the form x*y**4 + d + f*y**3 + v*y + p*y**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 17*t**2 - 9*t - 8. Let y be u(4). Let c = -144 + y. What is the remainder when c is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(432) + 2 + 5 + ((0 + sqrt(3))**2 - sqrt(3)).\nAnswer: 10 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + l + 77 = 0. Suppose -5*z - l = -237. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -6. Suppose 0 = -j*z + 8*z - 8. Solve 0 = -z*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 10:50 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2180 and 560?\nAnswer: 61040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/3))**1)**25 assuming h is positive.\nAnswer: h**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 671685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1313334 by -99.\nAnswer: -13266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 6:16 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 0 - 4. Let x = -2 + m. Suppose -4*a + x*a = -4. What is the nearest to 1 in a, 3, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 5*c - 2*b, -3*c = -3*b + 3 - 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - s + 4 = 0, -3*c - s + 1 = -1. Suppose 2*l = 5 + 51. Suppose -c*j = -270 - l. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (49\/(882\/108) - -8) + 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 1132 - 254 = q, -4*q + 3512 = -4*f. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - -5. Let a(t) = -g*t**2 + 5*t + 10*t**2 + t - 6. Is 10 a factor of a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 + 11*b**2 - 10*b - 12. Let i be o(10). Let r = 27 + i. Let q = -10 + r. Solve -2*k = 5*w - 16 - 12, 0 = -3*w + q*k - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from duuuuuvhuvuuuuuzu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 88, -2\/149, -2\/3, -0.5, 0.01, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d**3 + 13*d**2 - 6*d + 7. Let g be m(-7). Let u = -7 - -10. Put -4, u, g in descending order.\nAnswer: u, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -3, 1032, 2 in increasing order.\nAnswer: -3, 2, 7, 1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 - s. Let j(y) = -34*y - 1 + 3*y**2 + 1 + 43*y. Let p be -2 - 9 - (13 - 18). Let r(n) = p*o(n) + j(n). Factor r(h).\nAnswer: -3*h*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 16 = 0, 4*w + 40 = 4*v - 0*v. Let y be 100\/v*9\/6. Let j = y - 42. Calculate the common denominator of j and -43\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4313289ml to litres.\nAnswer: 0.0004313289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 866\/2517 - 9\/839. What is the nearest to i in -1, -18, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3182097, 12728428, 28638989, 50913780?\nAnswer: 79552801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l**3 + 4*l**2 + 5*l + 1. What is the units digit of d(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 4\/3  (b) -4317.1  (c) 1  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, i: 4, s: 7, t: 1, q: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4*b**2 + b + 1. Let l(r) = -24*r + 523. Let i be l(22). Let v(p) = 9*p**2 + 2*p + 3. Determine i*m(j) + 2*v(j).\nAnswer: -2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(1\/4)*(r\/(r*r**13\/r))\/r assuming r is positive.\nAnswer: r**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + 3*o - 6*o)*(-3*o + 6*o + 0*o) + 2 - 2 - o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (38*(-2)\/(-8))\/(8\/(-16)). Let a = -8 + 7. Let r = a - y. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -39*v - 129. Calculate h(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16214629?\nAnswer: 479, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29 - -38. Let k = 62 + -44. Calculate the greatest common divisor of v and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42)\/(sqrt(6)\/sqrt(3)))\/(-2*sqrt(12)\/sqrt(4)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(31\/((-155)\/(-285))).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 8*o - 14. What is the remainder when 166 is divided by q(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 5:15 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 - 7*m - 10. Let z be r(-7). Is -2*(-452)\/z*(-315)\/126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -4*h**5\/7 - 260*h**4\/7 - 2556*h**3\/7 + 7388*h**2 + 926848*h\/7 + 519168 = 0.\nAnswer: -48, -13, -7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 5 = -5*o, -4*l + l - 6 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 96 and 5690176?\nAnswer: 17070528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 + 15 + 4 + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1432131555 + -5?\nAnswer: -1432131563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23059832 is divided by 7686605.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 177274784\/171 + -3110146\/3. Let n = 172\/9 + i. Which is greater: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3641\/810 + -2\/405. What is the common denominator of a and 93\/376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95114587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22*q**3 - 256954*q**2 - 10061329.\nAnswer: 66*q**2 - 513908*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 22400000 to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from anacecawec?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 105955554.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1017397?\nAnswer: 127, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 5, -3, 3393.\nAnswer: -3, -1, 0, 5, 3393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 170 and 187?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3264\/(-1768) + (-4)\/26. Let x(b) = 2*b - 5. Let s(g) = -g. Let c(m) = 2*m + 6. Let l(k) = c(k) + 4*s(k). What is w*l(y) - 3*x(y)?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u*u*u*u\/u**6*u)**(2\/21) assuming u is positive.\nAnswer: u**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 2*j**2\/5 + 83414*j\/5 + 20338260 = 0.\nAnswer: -40450, -1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 308*x - 53818 = 53674. What is the remainder when 351 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3582028 + 124?\nAnswer: -3581804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(264)*1 - sqrt(264))\/sqrt(6))\/(3*sqrt(12)\/sqrt(3)) - (sqrt(1331) + 1 + sqrt(11) + ((2 + sqrt(11))*-6 - sqrt(11)))*4)**2.\nAnswer: -1760*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m = m - 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -13. Let h = 2.7 + -3. Sort 1\/7, h, i.\nAnswer: i, h, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 3) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 165 = 3*d, 0 = 4*f + 154*d - 147*d - 385 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1620 - 3073 + 1538)*(4*m - 6*m - 6*m) + 0 + 0*m + m + 2.\nAnswer: -679*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-90))\/((-86)\/(103200\/80)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 40.7 from -11222.499.\nAnswer: -11263.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*y - 25955 = 8209. What is the greatest common divisor of 6 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6622900 rounded to the nearest 10000?\nAnswer: -6620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11222 + 132122?\nAnswer: 210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from jjjjjjjjjjuuujjuuj?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*c - 18 + 18)*(-2*c**2 - 3*c**2 - 4*c**2 + (3*c - 3*c - 2*c)*(0*c + 2*c - c)) to q*c**2 + f*c**3 + p + j*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2041 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*s + 29*s + 33*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.5 - 2. Let p = r + -1.4974. Round p to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/(-8)*(-15 + 6)\/((-51)\/(-34))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/9  (b) -1\/6  (c) 0.044  (d) 5  (e) -2368  (f) 0.2  (g) -29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**5 + a - a + 4*a**5 - a**5 - 4*a**5 + (2*a - 2*a - 2*a)*(18*a**4 - 9*a**4 + 4*a**4).\nAnswer: -26*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -3*b**2 + 6*b**2 - b + 2*b**2. Let w be z(-1). Let d = w + 4. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2775, -5503, -8149, -10671, -13027, -15175, -17073?\n\"Answer: 7*u**3 - u**2 - 2774*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -84 - -89. Let x(r) = -3 - u*r**2 - 5 + 8. Give x(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 924\/(-77)*4\/(12\/(-12125)). Round x to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -h**4\/4 + 2*h**3 - 9*h**2\/2 + 4*h + 115. Factor s(z).\nAnswer: -(z - 4)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2 + 2*c + 1 + 1. Let o(j) = -5*j**2. Determine f(o(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12825 is divided by 5204?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, r: 1, n: 14}. What is prob of sequence rn?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w + 1. Let c(r) = -7*r - 3. Let j(p) = 9*a(p) + 4*c(p). Let h(s) = -14. Let t(y) = 1. Let b(f) = -h(f) - 12*t(f). What is -6*b(l) - 4*j(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h + h - h)*(5*h**3 - h**3 - 2*h**3) + 44 - 44 - 2*h**4.\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 121\/7  (b) 9  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -235*h = -6491 - 13742 - 5852 for h.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + 9*r + 9. Let m(v) = -v**3 + 3*v**2 + 3*v - 2. Let a be m(4). Let n be (-7 + 0)*(a + 5). List the prime factors of t(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1418497.\nAnswer: 17, 181, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001625496 rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(88) - sqrt(88)*2*1)*3)\/(4*sqrt(16)\/sqrt(2) - 6*2*sqrt(8)))**2 + 5.\nAnswer: 355\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29\/5, 5, 29055 in decreasing order.\nAnswer: 29055, 29\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/24)\/(4*(-4)\/96).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5152 and 7360?\nAnswer: 51520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -85 or -9421\/111?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + 0*y - y**4)*(-4 + 3 + 3*y + 0 - 5*y + 3*y + 0*y + (1 + 1 - 1)*(-4*y + 2*y + 0*y) + (y + y + 0*y)*(2 - 3 - 1) + 15*y - 93 + 93).\nAnswer: -10*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 4703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 + 2*o - 13. Let d(n) = -4*n**2 + 8*n - 66. Let y(c) = 6*d(c) - 28*j(c). Factor y(r).\nAnswer: 4*(r - 4)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n**2 + 598*n + 240 = 0 for n.\nAnswer: -2\/5, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-84)\/(-18)*54\/(-18))\/(1*2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 897\/6279*(-3 - -10)*3*1. Solve b - 5*t + 16 = 4*b, -k*b + 3*t - 24 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 40 + -44. Suppose -10*q - 262 = 198. List the prime factors of 1*(v - -1 - q).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + r**3)*(133*r - 47*r - 32*r).\nAnswer: 54*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 30 = -13*j. Solve k + 3*k - j*a + 26 = 0, -5*k = 3*a + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6998452?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 13 + 16 + -10 + -5 + -4 + -13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of -53*p**6\/15 + 265*p**3\/6 + 334*p**2. What is the first derivative of d(w) wrt w?\nAnswer: -1272*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - -1. Let j(m) = -3*m**4 - 6*m**3 - 5*m + 6. Let f(c) = -c**4 - c**3 - c + 1. Let w(u) = q*f(u) - j(u). What is the second derivative of w(v) wrt v?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10298 - -10081. What is the closest to r in 0.4, 1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 252 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 6:49 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*h**3 + 18 - 47*h**3 + 141*h + 2*h**2 - 69*h + 31*h**3 - 75*h in the form r*h + p*h**2 + l + z*h**3 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -209026353, -209026355, -209026357, -209026359, -209026361, -209026363?\nAnswer: -209026365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) -2  (c) -3  (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8769546?\nAnswer: 2, 3, 54133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 3*b**2 + 2*b**3 + 2*b**2 + 7*b - 1 + 2*b**2 - b**3. Let o(y) = -6*y**2 + y + 1. Let g = -2 - -1. Let c be o(g). Give h(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (32 - 19 - -3) + 5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -13*g**3 + 3*g**2 + g - 1. Let l be s(1). Put -3, l, 111, 2 in ascending order.\nAnswer: l, -3, 2, 111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6967.2 times -10?\nAnswer: 69672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2698 and 66386.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of -45\/2*q**2 + 44 + 0*q**3 + 0*q + 9\/4*q**4. Find the second derivative of y(s) wrt s.\nAnswer: 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 60.0584355 seconds?\nAnswer: 0.00009930296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9 - e1?\nAnswer: -d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w**2\/2 + 89*w - 7921\/2 = 0.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) 0.1  (b) 0.06  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -160045 (base 7) to base 9.\nAnswer: -46767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9497 - -9504.264. Round l to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (121 - 127) + (-2 - (15 - -4))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 84*c**2 - 3*c + 3*c.\nAnswer: -84*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.5, -52.772, -3, 2\/3, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*o**2*p - 9*o*p - 2*p wrt o?\nAnswer: 126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, s: 2, j: 1, w: 1, a: 1, k: 2}. What is prob of picking 2 s, 1 j, and 1 q?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 448*s**2 + 1329*s**2 + 1468*s**2 + 121*s**2. Let b(q) = q**2. What is b(t(a))?\nAnswer: 11329956*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*m - 104 + 104 + (1 + 3 - 2)*(m + m - m) + 21 - 24 - 4*m + 6*m.\nAnswer: 16*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -16.5905075 and 0.3.\nAnswer: -4.97715225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 25c96 (base 15) in base 7?\nAnswer: 1012446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 51448 and 6104?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*x - 3*l, -26*x - l = -23*x - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5.264054 millilitres?\nAnswer: 0.005264054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/15*z**2 - 4\/5 + 2\/3*z.\nAnswer: 2*(z - 1)*(z + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*t - t = 10*o - 2*o + 9 - 3, -54 = -3*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80 = 5*r + 5*v, -40*v - 6 = r - 41*v for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from auaaaaaaaaaaaaaaauua. What is prob of picking 1 u and 3 a?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 11, 20, 35, 56, 83, 116?\n\"Answer: 3*f**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 5571.741um?\nAnswer: 0.5571741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 - u**2 + 3*u**2)*(-2*u**3 - 2*u + 2*u) - 2 + 2 - u**5 + (3*u + u - 2*u)*(2*u**4 - 3*u + 3*u).\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 207 + 2168. Let a = p + -1604. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*t - 91, 2*t - 5*t + 5*k + 59 = 0. Let q = t + -15. Solve -b + 4*s + 2 = q, -2*b - 2*s = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 17*c - 7. Let g be a(5). Let o = -54 + g. Suppose -3*n + o = 5*w - 25, 55 = 3*n - w. Is 19 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of v**2 - 21 + 41*v**5 + 2*v**4 - 2*v**2 + 31 - 45 wrt v?\nAnswer: 2460*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n. Let a(g) = -4*g + g**2 - 11 + 8 - 7 - g. Let b be a(-4). Let k(u) = 161 - 83 - 78 + b*u**2. Calculate x(k(t)).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -4  (c) 2  (d) 123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1a (base 13) to base 3\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131 = -3*v + 115. Suppose -4*f + 2*u = -v, 3*u + 0*u + 13 = f. Let x = 24 - f. Solve -c = c + x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 504 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, k: 4, x: 7}. What is prob of picking 1 x and 1 k?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20.66 - -0.34. Let u = -26 + z. Which is the second smallest value?  (a) 0.2  (b) u  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, 1\/6, -22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 765 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 282, 613, 956, 1317, 1702?\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-7)*j\/j**(-4)*j**(-2)*j*j**(-1\/8))\/(((j\/j**(6\/7))\/j)\/j**(1\/19))**(-1\/48) assuming j is positive.\nAnswer: j**(-20071\/6384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34*r - 83 wrt r.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 + 26*n - 158. Calculate the remainder when 108 is divided by u(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c + 4*c - c + (-3*c - c + 2*c)*(5 - 3 - 4) - c + 0*c + 3*c + (53*c - 256*c - 117*c)*(-5 + 3 + 1)*(4 + 0 + 1)*(-4 + 3 - 1).\nAnswer: -3192*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -38442 divided by 31?\nAnswer: -38442\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = q, -2*y + 3*q - 7809 = 2*q. Let n = -1509 - y. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43933 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - 31*o + 2. Let h be r(0). Solve 3*k - h*j - 9 - 2 = 0, k + j = 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 356 and 9612.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - v = -1, -5*r + 5*v - 8 + 3 = 0. Suppose r = -5*k + 2*g + 71, -2*k + 51 - 13 = 4*g. Solve -f = 2*f + k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 15*f + 9. Let q be x(15). List the prime factors of (39\/5)\/(q\/45).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of 4*z**3\/3 + 85*z**2\/2 + 114*z. Let x be m(-10). Solve 3*l + x = -h, l - 3*l + h = -5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25.5 + -25. Let r = -14 - -13. What is the biggest value in r, -0.3, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 3*u = 1, 5*q + 9 - 23 = 4*u. Let z(c) = 5 + 10*c - q - 5*c + 2 + 2*c**2. Let t(j) = j**2 + 4*j + 4. Determine 3*t(x) - 2*z(x).\nAnswer: -x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -238614 divided by 2\nAnswer: -119307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18855.\nAnswer: 3, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 299020?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 5*f - 1400, -4*r + 2*f - 4*f + 1116 = 0. What are the prime factors of r?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 2\/5  (c) -2\/11  (d) -25\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1685, 1693, 1711, 1745, 1801, 1885?\n\"Answer: t**3 - t**2 + 4*t + 1681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 c, 1 f, and 1 d when four letters picked without replacement from {h: 1, x: 1, a: 1, f: 5, d: 2, c: 3}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*w*x**2 + 2*w*x + 639879*w + 6605*x**2 - x with respect to x.\nAnswer: 6*w*x + 2*w + 13210*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r - 156982 - 205133 = 0. Does 253 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -p - 42, 51*t - 3*p = 47*t + 161 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1603 a factor of 10140578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 667 divide 31688503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 77605488 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: a9122 (base 13) to base 9\nAnswer: 515153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -68\/45 - -1\/90. Let o = 6963.2 + -6963. Put q, o, -3 in decreasing order.\nAnswer: o, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -2*r - 8, r + 2*b = 6*r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + -8b?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b - 1 - b**2 - 3*b - 1 + b. Let g be f(-5). What are the prime factors of (-21)\/(-3)*(-12)\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/8 + 190\/(-360).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 59\/42 - 1\/14. What is the third biggest value in -1\/4, 3, 8\/13, f?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 576 and 13504.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1061\/45 + -119\/5. Which is the closest to -1\/2?  (a) l  (b) 3  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, 391, 1186, 2379, 3970?\nAnswer: 5959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*k**3*q**3 - 501*k**3*q**2 - 3693*k**3*q + 6*k**2*q**2 + 2*k**2*q + 30971*k*q**3 + 10*k + 2*q**3 - 2*q**2 wrt k?\nAnswer: -36*q**3 - 3006*q**2 - 22158*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1017, 0.001, 2\/7, -3\/7, -1\/6 in increasing order.\nAnswer: -3\/7, -1\/6, 0.001, 2\/7, 1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*(12\/15)\/2*-20. What is the highest common divisor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3389 = 182*q - 653*q - 1321 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1487905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 8 = -5*z. Let j = -11 - -5. Let h be (-15)\/j + (-1)\/2. Solve -4*v + 2 = -4*c - z, -h = 4*c - 3*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74048.83 millilitres in litres?\nAnswer: 74.04883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -671*b - 7114. Give f(-11).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.433, -10, -0.001, 4, -4?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -0.5  (b) -3  (c) -1\/4  (d) -25322\/7  (e) 5  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 234\/819*((-1)\/(-3))\/(-1).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1007 and -505019?\nAnswer: 506026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 5*h + 4. Let n be (-3 - -3)\/((-6)\/(-3)). Let o = n - h. What is the greatest common divisor of o and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 743?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xupxxquuyqpxuxgxxgqu. Give prob of picking 1 x and 3 u.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - -48) + (0 - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 - 5*j**2 + 24*j + 3*j**2 + 0*j**2.\nAnswer: -3*j**2 + 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*m**3 + 292 - 435*m**2 - 47*m**2 + 9*m**2 + 476 wrt m?\nAnswer: 6*m**2 - 946*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 343727027?\nAnswer: 7, 47, 22229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209759?\nAnswer: 11, 19069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1391369756 and 0.0549?\nAnswer: 1391369756.0549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.27 - 2.73. Let i = 3.1 + -3. Sort i, 1, x in decreasing order.\nAnswer: 1, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 451 - 902. Let z = 642 + n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 - 1)\/(2\/(-10)). Let j(r) be the first derivative of r**2\/2 - r - 7. List the prime factors of j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-186)\/434*4\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of 0*i + 67*i**2 - 1\/15*i**5 + 0*i**3 - 1\/120*i**6 + 0 + 1\/12*i**4. Let v be ((-6)\/(-4))\/((-9)\/24). What is g(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45 - 18. Suppose -3*w - 4*x - 48 = -7*w, x - 38 = -4*w. Calculate the remainder when c is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 556.98 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than -4.18469?\nAnswer: -3.78469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)\/sqrt(320) + sqrt(35))\/(sqrt(56)\/(sqrt(8)*1)).\nAnswer: 9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 971782?\nAnswer: 2, 7, 41, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(27\/2)*w*w**(-3\/10)*w*w)\/(w**(-7))**(2\/3) assuming w is positive.\nAnswer: w**(313\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -33*s**4 - 4*s**3 - 31*s - 2. Let h(v) = 66*v**4 + 9*v**3 + 62*v + 4. Let u(o) = 4*h(o) + 9*z(o). What is the second derivative of u(d) wrt d?\nAnswer: -396*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000479236501 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -733*p + 738*p + 2, -p = -v - 1. Which is bigger: 18 or v?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 215025 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1870445485.\nAnswer: 5, 17, 22005241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (14 - (3 - -1 - 1)) + (19 - 1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 6*((sqrt(2736) - ((sqrt(2736) - (sqrt(2736) + 1 + sqrt(2736))*3) + sqrt(2736)) - sqrt(2736) - sqrt(2736)) + sqrt(2736)) + 2 + -2)**2*2*-5*-6.\nAnswer: 552960*sqrt(19) + 94571520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.07823 to two dps.\nAnswer: 2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1379238 is divided by 90?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*o + 119*o - 53*o - 20 = 0, w - 2*o - 2 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 106*b**3 - 5*b**2 + 201*b - 1009. Is c(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.251977 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**2 + 30*q - 87. What is a(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 332.8 + -333. Sort w, 12\/11, 0 in decreasing order.\nAnswer: 12\/11, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1602 and 4450?\nAnswer: 40050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 33273.5 times -2?\nAnswer: -66547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -58*b**2 + 376*b + 29. Calculate v(8).\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = 4*h. Suppose -4*v + 2*i + 24 = h, -2*v + v + 2*i = -9. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q + 3*q - q + (-3*q + 2*q + 0*q)*(-2 + 1 - 1) - 3*q - 2*q - q + (19*q + 80 - 80)*(0 - 1 - 1).\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -457, -1704, -3781, -6694, -10449, -15052, -20509?\n\"Answer: -d**3 - 409*d**2 - 13*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 17831, 35660, 53463, 71228, 88943, 106596, 124175, 141668?\n\"Answer: -2*g**3 - g**2 + 17846*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 - (-25 + 46)) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, -3, -11, -1, 21, 49?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -1. Let v(s) = 2*s + 3. Let l = -20 + 21. What is l*v(w) + 3*z(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, i: 1, k: 2, j: 2, p: 5, s: 2}. Give prob of picking 1 z and 1 k.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 258.24 times 268?\nAnswer: 69208.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*3*sqrt(27) - sqrt(27))\/(sqrt(72)\/sqrt(200)) - ((-5 + sqrt(6)\/sqrt(2) - sqrt(3)) + (sqrt(432)*-3 - sqrt(3)) + 3)**2.\nAnswer: -4111 - 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1755550 (base 8) to base 11.\nAnswer: -32195a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3117 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c + 37. Determine q(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2964, 2966, 2970, 2976, 2984?\n\"Answer: b**2 - b + 2964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 27607597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -s**8\/84 + s**6\/30 - s**5\/10 - s**4\/4 + 3*s**2. Let g(p) = p**5 - p**3 + p**2 + p. Let f(v) = 6*g(v) + h(v). Factor f(d).\nAnswer: 2*d**3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -185.7?  (a) -0.4  (b) 5\/8  (c) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 27*z - 30*z = -25629, 5*t - 5*z = 42765. Suppose -912 = -55*l + t. Calculate the remainder when l is divided by 48.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 296423 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 + 121 = 2*o. Suppose 0 = 8*j - 431 - 513. Suppose 53 = 9*p - j. What is the greatest common divisor of p and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 3 = -4*q. Suppose -3*p - q = -5. Calculate the least common multiple of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3316 - -3432. Which is the third smallest value?  (a) 0.3  (b) 4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1631 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 654848480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.9, -1, 1\/6, -0.5, 2\/3, 0.5 in increasing order.\nAnswer: -6.9, -1, -0.5, 1\/6, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 236108.\nAnswer: 2, 67, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 + 2)*((-2 + 1 + 2)*(-20 + 20 - 34*t) + 5*t - t - 2*t).\nAnswer: -256*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - n)*(3*n + 2*n - 4*n)*(-84 + 84 - 18*n).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - 13)\/(-2) - 0. Suppose 2*a = l + 18. Calculate the common denominator of 9\/5 and 163\/(-6) + (-4)\/a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/2*0)\/(2*1). Solve m = -i - 4*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -300.2706 - -299.5. What is z rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a364 (base 14) to base 16.\nAnswer: 199f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-39)\/(-65) - -208*1\/(-15)*-927.\nAnswer: 3, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((74\/1554)\/((-4)\/6))\/((-1)\/2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 divided by -38.\nAnswer: -13\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 4*x + 87. What is d(0)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.02 and -348.222?\nAnswer: 6.96444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -6*h + 2. Let d be m(7). Let f = -161\/4 - d. What is the third biggest value in f, -3\/2, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2248*v + 203493 - 255197 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7, -2, -53, -164, -353?\n\"Answer: -3*m**3 - 3*m**2 + 21*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10475 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 51*y**2 - 1935*y - 11699. Give x(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.64 + 0.14. Let g = -614 - -613.8. Sort 1, g, r, -1\/4 in decreasing order.\nAnswer: 1, g, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 5*r + 5*d - 451, 5*r = 4*d + 1045. Let s be (r\/2)\/(8*3\/48). Suppose -3*g + 30 + s = 0. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22.9 + 22. Let u = 60 - 56.9. Let t = f - u. Which is the second biggest value?  (a) t  (b) 0.1  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5\/6*t**3 + 1000\/3*t + 100\/3*t**2 + 0 = 0. Calculate t.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.083 + -2.917. Sort -2\/9, -6, i, -2 in descending order.\nAnswer: -2\/9, -2, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14349381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.099 + -0.311. Let v = 23.59 - a. Which is smaller: v or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 189 and 13797.\nAnswer: 13797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18036*d**2 + 18105*d**2 - 36139*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zmzzzzzzbzzzzzzz?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.411 + -1.51. Let f = n - -0.09941. What is f rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 0.1  (c) 4  (d) -30.7048  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1697 less than 299475.7?\nAnswer: 301172.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 + 7*o**2 - 10*o - 6. Let d be y(-8). Suppose -8*a - 412 = -d*a. Suppose -505 = 2*h - 7*h + 5*x, x + a = 2*h. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**3\/7 + 108*c**2\/7 + 376*c\/7 - 1200\/7 = 0?\nAnswer: -50, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*s - 300*s**2 - 203*s + 89*s + 55*s.\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-18) - 9278\/(-36)*8?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3303.315nm?\nAnswer: 3.303315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-41)\/(-4)*1 + 6\/(-24). Suppose -5*f + y*f = 60. What is the remainder when f is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 PM and 10:20 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-3)*24\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -111653, -111926, -112199, -112472?\n\"Answer: -273*d - 111380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 28 = 2*r, 3*p = -r + 4*p + 19. Suppose -28 = -5*i + r. Solve l + i = -3*l + 3*b, 5*b + 17 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -3*m - 3*v + 23, 5*v = 5*m - 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1216, 2433, 3650, 4867?\n\"Answer: 1217*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 5, -3, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z. Let n(x) = 11238685*x**2. What is a(n(s))?\nAnswer: -11238685*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3108004 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 12:39 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, m: 1, s: 2, c: 3, q: 2, e: 2}. Give prob of sequence qcs.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 - 18 + 59)*(-1 + 2 - 2)*(-3*j - 2*j + 6*j).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v\/v**(2\/7)*v)**(1\/9)*v**(-1\/3)*v*v\/(v**1*v))**(1\/39))**(-1) assuming v is positive.\nAnswer: v**(2\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 4*x**2 - 2*x + 1. Let f be l(1). Let y(b) = -b. Let u be y(f). Let s = -3 - u. Solve 0 = 3*n + p + 1, -3*n + s*p + p + 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 3:02 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3506 + 4689. What is the remainder when q is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.8 and 1576723897669.\nAnswer: 1576723897666.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*o + 12*o = 216. Suppose -5*j - 3*z = -15329, -2*j + o*z - 7*z + 6132 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.2+225698\nAnswer: 225696.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 689*b**5 - 622*b**5 + 12*b**2 + 20*b**2 wrt b?\nAnswer: 4020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/22)\/((-2656)\/21912)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/8 + 12\/(-128)*-6476. Find h, given that -g + 96*h - 4*h**2 - h**4 - 3*h**4 + 687 - 24*h**3 = 0.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + k**4)*(3 - 4 - 4)*(3*k + 9 - 9).\nAnswer: -15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {y: 3, o: 4, d: 6, a: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -81 - -89. Suppose -32 = -4*j - 4*c, -f*j = -3*j + 4*c - 40. Find the common denominator of 28\/5 and (-426)\/(-40) + -2 - (-2)\/j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3\/6 + 1017*m**2\/2 + 28747*m\/2 - 89291\/6.\nAnswer: -(m - 3079)*(m - 1)*(m + 29)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*g + 6, w + 2*g - 257 = 0. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 4*b**2 - 25*b + 38. Let f be h(3). Sort -4, f, 2, 442, 4.\nAnswer: -4, f, 2, 4, 442","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4208, -8449, -12690, -16931?\n\"Answer: -4241*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x**2. Let j(v) = -4634015*v. Determine j(l(r)).\nAnswer: 13902045*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 - 7*v**2 - 4*v + 8. Determine b(6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**0*k**(-2\/9)\/k*(k\/k**1)\/k**11 assuming k is positive.\nAnswer: k**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 28 = -4*v, 4 = -4*v + 2*v. Let w be 2\/4*(r + -2). Let a be (-10)\/18*(-30)\/350. Which is smaller: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 159532*w**3 + 4*w**2 - 2110524*w wrt w?\nAnswer: 957192*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 2*r**2. Let m be q(-2). Solve -6*t - 68 + 38 = m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*u = m + 3*m + 23*u + 4, 4*m - 5*m = -m + 12*u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.4 - 1.6. Sort 0, p, 3 in increasing order.\nAnswer: p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 PM and 9:26 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*x**2 + 9*x**2 + 6*x**3 - 187*x**3.\nAnswer: -181*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 952*k - 952*k + 15*k**4 + (0*k**2 - 3*k**2 + 2*k**2)*(-2*k**2 + 4*k**2 - 3*k**2) + 44*k**3 - 44*k**3 - 7*k**4 + 2*k**4 - k**4 + k**4.\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 553526.\nAnswer: 2, 276763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78686.\nAnswer: 2, 39343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 9 - 3 + 2*v - 6.\nAnswer: 2*v - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16516 + -16444.012. Let f = g - 72. Let d = f - -0.01168. What is d rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 2*b + b)*(-254 + 133 - 292 - 364).\nAnswer: 777*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 - 5*c**2 - 3*c + 4. Suppose -14 - 2 = 4*a. Let k be p(a). Solve k + 1\/3*w - 1\/3*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 52\/15?\nAnswer: 52\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 388101 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 84 and 174972.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 6 = g, 5*i - 4 = 4*g - 5. Let z = 3 + g. Differentiate 4 - w**2 - z*w**2 - 1 + 0*w**2 wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**27)**(-13)\/((g**(-2\/13)*g)\/(g*g**(-40)*g)))**15 assuming g is positive.\nAnswer: g**(-76020\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 150718 or 150723?\nAnswer: 150723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 1:36 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -172 divided by 582.\nAnswer: -86\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -154 - -3226. Suppose 10*b - 6*b = s. Suppose 2*k + b = 2*d, -5*k + 1676 = 5*d - 214. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 726489 is divided by 144557?\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 5*m - 2*r - 16, 24 = m - 5*r. Let u(h) = 12*h + 2. Let n be u(m). Let z = n - 33. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 27.91608 or -18.1?\nAnswer: 27.91608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 294 divide 6870571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 14*k**2 + 13*k - 37. Suppose -4*g - 36 - 7 = -o, 5*o = -3*g - 38. List the prime factors of w(g).\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z**3 - 6*z**2 - 3*z + 3. Is 5 a factor of s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 8:04 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1180\/(-74) + (-224 - -240)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8464175.861 less than 10551?\nAnswer: -8453624.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5200334 is divided by 754?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1, -32, -97, -214, -401, -676, -1057?\n\"Answer: -3*t**3 + t**2 - 13*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 207, 209, 211, 213, 215, 217?\n\"Answer: 2*v + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 180907553?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-55204819)\/(-3801))\/(-173) + (0 - 4\/84)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 4. Let l(w) = -4*w**2 - 100*w - 80. Let q be l(-24). Let t = q - j. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/1195832 and -3\/18832?\nAnswer: 2391664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20.99 + -19.5. Let k = g - 4.49. What is the closest to -2\/5 in k, -1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - d + 3. Let c be v(0). Suppose -3 = c*g + 3. Let r be (3\/g)\/(3\/(-8)). Solve -3*t - 9 = -9*x + r*x, -2*t - 8 = -4*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (378\/24)\/(57\/4104*-54).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*b - 3921 - 762 = -123 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/(-216))\/((-6)\/9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.290078 rounded to two decimal places?\nAnswer: -7.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 190 - 187. Let x(d) be the second derivative of -4*d**2 + 0 + 4*d + 1\/6*d**s. Calculate x(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 96, -12, -368, -1116, -2400, -4364, -7152?\n\"Answer: -24*q**3 + 20*q**2 + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -42670 + -7?\nAnswer: -42677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**13\/(v**(-16)\/v)*(v**(-23)*v)\/(v*v*v\/(v\/(v*v\/(v**(-38)\/v)*v*v))) assuming v is positive.\nAnswer: v**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 1:15 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 33*z**2 - 13*z**2 - 19*z**2 + 0*z + z - 8*z**2. Let l(a) = -8*a**2. Give l(h(n)).\nAnswer: -392*n**4 + 112*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156*m + 3613 - 3457 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.5, -7.3, -6, 3, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**3 - 152*j**2 + 551*j + 1806. What is w(72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 40, 109, 248, 481, 832?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from wdwtwdnwwtwdddwndc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4*q**2 + 3*q - 4. Let x be (-2)\/(-6) + (-15385)\/3801 - (-4)\/(-14). Let r(a) = 1. What is x*r(n) - o(n)?\nAnswer: -4*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Is -51 at most as big as -286\/951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1786, -1781, -1774, -1765, -1754, -1741?\n\"Answer: g**2 + 2*g - 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (36\/(-20) - -2) + 769\/5. Calculate the highest common divisor of o and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2345 = -25*f - 1929 + 3949 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 29809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 68, 27, -2, -67 in increasing order.\nAnswer: -67, -2, 27, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 4\/5, 29, 4, 0?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -375508 = -22*x - 5*u, u + 28516 = -3*x + 79721. List the prime factors of x.\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -4*l - 145, 105 = -5*l + 2*l - 3*k. Let n = 267 + l. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/((-700)\/15)*(-7)\/((-147)\/(-14)). What is the second smallest value in 2, -0.06, 4, 0.149, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/3  (b) -509  (c) -45122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -328 + 360. Calculate the highest common factor of o and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1131, -1356, -1583, -1812, -2043, -2276?\nAnswer: -2511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**2 + 6*l**2 - 5*l**2)*(0*l - 2*l + 3*l)*(0 + 2*l + 0) + 6*l**4 - 4*l**4 + 108*l**3 - 95*l**3.\nAnswer: 10*l**4 + 13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + 56 + 13 - 3)*(1 - 1 - 2*f).\nAnswer: -4*f**2 - 132*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 47951 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 is the highest common factor of 2102589 and 4302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22673 and 6913256.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21 - 15. Suppose 3*p + 0*p = s. Suppose 0 = 5*c - p*c - 105. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 + 13. Suppose 7 = u*b - 17. Is (2 - 3) + 1 + b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3103 is divided by 835.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at most -0.1822604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*l**6 - 13*l**4 + 2*l**2 - 28?\nAnswer: -1200*l**3 - 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r + 9. Let s(w) = 3*w + 14. Let d = 15 + -17. Let k be d\/4*40\/(-4). What is k*s(i) - 8*y(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + 83. Let b be (-8 - q\/(-15))\/(3\/(-10)). Let p(g) = -g - 20. Let f be p(b). Round f to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -15. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 712540 and 170390?\nAnswer: 7837940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) -332  (c) -2  (d) -2.4  (e) -91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 26592 divided by 6648?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 119574 divided by -6.\nAnswer: -19929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -20\/17819601 and -52\/9.\nAnswer: 53458803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/5 + 172299*p\/5 - 1550772\/5.\nAnswer: (p - 9)*(p + 172308)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/9*(-5 + (6 - 13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-4))\/((-8)\/208). Suppose 199 - l = 5*w. Suppose -4*q + 24 = g - 2, -4*q + w = 2*g. Is 6 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1358.35 - -1303. Let l = r - -55. What is l rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*v - x - 2, 3*x + 4 = -v. Which is the third smallest value?  (a) 0.7  (b) v  (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -1\/6*w**4 - 5 - 1\/9*w**2 + 2\/9*w**3 + 0*w + 2\/45*w**5. Suppose p(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57e5 (base 16) in base 3?\nAnswer: -1010212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 102 = -4*p + 3*m, 2*p - 72 = 4*m. Suppose 0 = x - p - 66. What is the greatest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of 275*x**8\/84 - 28*x**7\/3 + 73*x**6\/15 + 76*x**5\/15 - 5*x**4\/6 - 4*x**3\/3 - 1441*x**2. Find c such that y(c) = 0.\nAnswer: -1\/5, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1836 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23 + 27. Suppose -q + 10 = b. Let v = 3 + q. Calculate the greatest common factor of v and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16 + 2b7?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(176) + 5 - (sqrt(11) + (sqrt(11) - (4 + sqrt(176))) + sqrt(11)).\nAnswer: 9 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2544 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -537  (b) 2\/3  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 4*l - 195, 0 = 2*d - 0*d - 2*l - 60. Let p be (-20)\/50 - (-24)\/d. Let y be (3\/14)\/((-3)\/(-4)). What is the closest to p in 4, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 8:20 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b**2 - 4*b + 9. Let d be k(-3). Suppose -8*j = -d*j - 17935. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 91 = -2*o, -k = -9*o + 7*o + 79. Calculate the greatest common factor of 16 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 475 - 166. Let g = y + -189. Calculate the remainder when g is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rwlu when four letters picked without replacement from {w: 2, s: 3, u: 2, l: 4, r: 2, n: 3}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*t - 21*t - 12*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 32 = -r - r, 3*w - 28 = -r. Let h = w + -17. Is -10 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(-4)\/((-16)\/(-6)). Suppose -5*y + 4*k = -17, f*y - y - k = 5. Let g = y - -19. Solve -2*d = 2*d + g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*c + 13380049 = -95*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*y = 35*y - 50*y + 448 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 32018729.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from mwmjjummdw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c**3 + c**2 - c**2)*(125 + 73 + 130) + (-2*c**2 + 2*c**2 - 2*c**3)*(0 - 4 + 3).\nAnswer: 1314*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + -23. Let c(m) = 4 - 1 + 0 - 5 - 6*m + 3*m. Let u(x) = -x - 1. Determine w*u(i) - 2*c(i).\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -103*w**2. Let s(a) = 2*a**2. What is z(s(v))?\nAnswer: -412*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**2 + 2*r + 12. Let c be p(4). Let o be 5 + -3 + 1 - c. What is the third derivative of -9*f**4 + 28*f**2 - 9*f**2 + o*f**4 wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 + 38 + 6*b**2 - 75 - 9*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 AM and 6:33 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*u + 0*u + u + 7*u - 2*u - 3*u + (-2 + 3*u + 2)*(-3 - 1 + 0) - 6*u + 2*u + 3*u + (2*u + u - 2*u)*(0 + 0 + 4) to the form i*u + v and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -236329243 to the nearest 100000.\nAnswer: -236300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -869.8 + 134.8. Let y = v + 735.2. What is the third biggest value in 5, 0.3, 3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -82.69766498 - -0.69775898. Let w = n - -82. Round w to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8.80227 + -0.058\nAnswer: -8.86027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 - 9*p + 20. Let x be v(-9). Suppose -a - x = -6*a + 5*s, -5*s + 4 = a. Sort 0, a, -34 in descending order.\nAnswer: a, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rkj when three letters picked without replacement from {v: 1, n: 2, k: 7, r: 2, f: 1, j: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**21\/g)*g*(g*(g*g**(-14))\/g*g*g)\/g)\/((g**1*g)\/g**(-3\/20)) assuming g is positive.\nAnswer: g**(-643\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**3 + 14090*l - 720 - 71*l**4 - 14092*l + 717 - l**2 as c*l**3 + d*l**4 + y*l**2 + a + k*l and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 314 = 2*k, 8*m - 495 = 5*m - 3*k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -946445764, -946445765, -946445766, -946445767, -946445768?\n\"Answer: -u - 946445763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -31*l**2 - 2*l + 4. Let v(a) be the second derivative of 61*a**4\/12 + a**3\/2 - 7*a**2\/2 + a - 4813. Give 7*b(o) + 4*v(o).\nAnswer: 27*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47 - 55 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 22 + 3 + (2 - 4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-66)\/(-121))\/(-3) - (-270)\/275. Which is the biggest value?  (a) i  (b) 5\/7  (c) -18  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-4*110\/2288).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from tettr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2671.65 + 23.35. Let o = s + -2694.999998903. What is o rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 + 23 + 3*k**3 + 3*k + 3*k**2 - 8 as q*k + a + c*k**2 + y*k**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1004670.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*k**4 - 4*k**4 - 32*k**4 + (-2*k + 5*k - 2*k)*(0*k**3 + 3*k**3 - 2*k**3).\nAnswer: -49*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 + 5*i + 3. Let y be t(8). Let s = y + 47. Suppose 3*d + 18 = 3*h, h + 4*h - 4*d = s. Solve 6 = -4*z + h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15355, -15327, -15251, -15103, -14859, -14495, -13987?\nAnswer: -13311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -232 - -248. Suppose 6*f - x*f = -80. What is the remainder when 14 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*f**4)*(29*f - 142 + 142) - 4*f**4 - f**5 + 4*f**4 + (-2*f**2 + 4*f**2 + 0*f**2)*(-6*f**3 + 3*f**3 + f**3).\nAnswer: 53*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t**2 + 6*t**2 + 20*t**2)*(-1 + 1 - 2*t) - 17*t**3 - 156*t**3 - 30 + 174*t**3 - 3*t**2 + 2*t.\nAnswer: -41*t**3 - 3*t**2 + 2*t - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1165)\/5592 + 2\/(-12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 78361, 313450, 705271, 1253824, 1959109, 2821126, 3839875?\n\"Answer: 78366*u**2 - 9*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 377 = 3*g - 2*g, 0 = 2*z - 4. Let c(i) = 24*i - 28. Let x be c(11). Let v = g - x. List the prime factors of v.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - f = -v - 23, 0 = -4*f - 4*v + 48. Suppose -f*u - 5 = -12*u. Solve u - 2 = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4158 divided by 1386?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12094 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/1343 in 3, 196, 279?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 - 4591*y - 1420665. Calculate g(-291).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.07  (b) 26\/9  (c) 1\/5  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 967690 divided by 4\nAnswer: 483845\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-9)\/(-24) + 10\/((-720)\/27). Which is the nearest to 6.03?  (a) -1  (b) -1\/4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -6 + 5 + 2*-1. Let z be (4 - i\/(-3)) + 0. Suppose -m + 6 = -2*v, -5*m + z = -2*v - 11. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 11:21 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2. Let u be ((-7)\/2)\/(5\/20). Let q be (20\/u)\/((-9)\/63). Let r(n) = -3 - 3*n**2 + 13 - q. What is j(r(v))?\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -18. Let g be 207\/(-15) - (-3)\/w. What are the prime factors of g\/(-8) - (-1)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes after 3:39 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*6\/(-48)*-4*-1. What is the smallest value in -27, 5, n, -0.3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 5 + 44 = 3*r, 0 = -5*s + 3*r + 87. Suppose 0 = s*u - 0*u - 5904. Is u a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/3)*f)**(-8)*(f\/(f**(-6)\/f))\/f*f**(-1) assuming f is positive.\nAnswer: f**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*54.28505.\nAnswer: 5.428505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of -i**3\/3 + 24*i. Let r(j) = -3*j**2 - 5*j - 5. Let p(o) = o**2 + 2*o + 2. Let x(y) = -5*p(y) - 2*r(y). What is x(b(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -311 + 308. Let h be (1*s\/(-4))\/((-10)\/(-760)). Calculate the greatest common divisor of 855 and h.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2515 (base 7) to base 16\nAnswer: 3af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 5\/43  (b) 11.7  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -48?  (a) -0.1  (b) 6\/23  (c) -2\/5  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 69*c**2 - 7*c - 9. Let f be g(-14). Let s = f + -1113. What is s rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30032*o**3 + 329*o**2 - o + 24985739 wrt o.\nAnswer: -180192*o + 658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -23575 divided by 4715?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 15994*d = -15997*d - 175, o + 50 + 45 = -4*d for o.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -98, -1780, -4578, -8492, -13522, -19668, -26930?\n\"Answer: -558*l**2 - 8*l + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -386 - -450. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 13 = 1. Let n be (-3)\/u + (-268)\/28 + 3. Let h(m) = -2*m. What is h(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 5  (b) 0.59  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72)*-1*1))\/sqrt(8))\/(2*(sqrt(48) + sqrt(48)*1) - sqrt(48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 + 5*d + 4. Let c be s(-4). Suppose 4 = 2*k - c*k + 2*g, -2*k + 12 = -2*g. Suppose -5*t - 5*w + 195 = 0, k*t + 5*w - 102 = 58. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j - 25 = -u, -26*u - 3*j - 7 = -21*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*j + 15134 = 121061. What are the prime factors of j?\nAnswer: 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-2\/3))\/(c**(3\/4)\/c))**(-2\/49)*(c**(1\/4))**(1\/5)*c**(4\/5)*(c**4\/c)\/c*c*c*c assuming c is positive.\nAnswer: c**(16969\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 492\/16*((-11984)\/84)\/107\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/10875, 3, 151?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of q**3 + q**2 + 3*q + 3. What are the prime factors of l(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2044852717?\nAnswer: 103, 19852939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -775253 + -2?\nAnswer: -775255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 11:00 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of 0*m**5 + 4*m**2 - 1\/12*m**4 + 0 + 0*m**3 + 0*m**6 + 0*m + 2\/105*m**7. Find the second derivative of r(g) wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -11, -48, -85, -122, -159, -196?\n\"Answer: -37*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/6564 and 89\/54.\nAnswer: 59076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2, 25, 62, 113?\n\"Answer: 7*w**2 + 2*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + -24 - (-10 + 2 - -7)) + 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15 + (10*18\/(-180))\/(1\/2). Solve d*n + 11*n = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177*h - 1185000 = -187*h. What is h rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 163*z**2 - 78*z**2 - 84*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 5*n - 96 - 2, -4*n - 3*k = -74. Suppose -130 = -22*x + 46. Calculate the remainder when n is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39 - -59. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 58 + 2. Let g = c + 3. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 15 = 0, -263223 = -4*q - 5*l - 19676. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l = -314 + 323. Calculate the greatest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 16353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 28 + -14 - (21 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*g = -4*s + 20*g + 33, -3*s + 5*g + 3 = 0. Let k(v) = -v**2 + 15*v - 52. Let j be k(s). Solve 0 = -5*z + t + 14, 12 = -5*z - 5*t + j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - -9. Let g = -11.5 + 11. What is the closest to -1 in g, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 + 40*m**2 - 866*m + 616. What is t(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(-18)\/(720\/70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*f + z = -122*f + 4, -10 = -4*f - 3*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 77 and 701802.\nAnswer: 701879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3029 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 26109.34 rounded to the nearest one hundred?\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - k - 3)*(-3 + 1 - 1)*(-k - 2*k + 0*k)*(10*k - 10*k + 6*k**2 + (-k - 2*k + 4*k)*(-k + 5*k - k) + 0*k - 2*k + 2 + 5*k + k**2).\nAnswer: -90*k**4 - 27*k**3 - 18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 9*w**2 + 9*w + 12. Suppose 0 = 4*j - 13*l + 10*l + 38, 0 = 2*j + 2*l + 12. What is m(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*h + 337*h - 170*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1 and -15170.9.\nAnswer: -15171.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5020 - -5016. Let g = 17 - 41\/2. Let q = -3 - g. Which is the biggest value?  (a) q  (b) -5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 4*m**3 + 3*m + 2. What is a(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1012745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of y**4\/4 + 7*y**3\/2 + 29*y**2\/2 + 10*y. Is m(20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 249 = -3*l, 0 = -4*l + 2*l - 3*z + 166. Suppose -5*a = -h + l, -3*a - 135 + 578 = 5*h. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z\/((z\/(z**4*z))\/z))))\/(z*z**(-5))*z**3\/z**(3\/8) assuming z is positive.\nAnswer: z**(101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 3*k = -3, -3*k - 9 = -2*r - 0*k. Solve -r*t - 7 = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39270 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: Let r = 3.987 - -0.013. Let s = -3.3 + r. What is the second biggest value in -1\/4, 3, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -25939, 21, 3, -6.\nAnswer: -25939, -6, 1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -9*j**2 - 5*j + 1. Let z(g) be the third derivative of -g**5\/6 - g**4\/4 + g**3\/6 + 1190*g**2. Give 7*d(w) - 6*z(w).\nAnswer: -3*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**33*q**(-19\/3)*(q*q**(-7\/6)\/q)**(2\/9))**(1\/43) assuming q is positive.\nAnswer: q**(740\/1161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 3552 divide 140418341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 10027 = b + 4*b, 0 = -2*q - 2*b - 10018. Let y = -2755 - q. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16164 (base 9) in base 16?\nAnswer: -2b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 11, w: 4, d: 3, o: 1}. Give prob of picking 1 w, 1 y, and 1 o.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 13*k. Let o(h) = 10*h. What is a(o(x))?\nAnswer: 130*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o**3 - 361*o**2 + 171*o - 1807. Give y(-181).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3691 + 39574 - 7324 = 283*r. Calculate the remainder when 2406 is divided by r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 52*x - 49*x + 11 = 0, 2*y - 2*x - 24 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -98, -198, -298, -398?\n\"Answer: -100*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2 + 0)*(3*j + 0*j - j) - j - 10 + 10 + 4*j - 7*j + 10*j to i*j + o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -56 - -59. Let x(n) = -3*n**2 + 3*n**3 - 2*n**2 + 3 - 4*n**d. Give x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1002?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3 - 32*f**2.\nAnswer: -4*f**2*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 1:38 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58\/(-130) - (-62)\/(-403)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 + 58*o**2 - 111*o + 601. Let m be k(-60). Is m smaller than 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2382*g - 4764. Determine i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 513 = -68. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 1\/3, -57, 76, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-2\/59)\/s*s\/s**(-16\/3)*(s**19*s)\/s*s**(2\/23) assuming s is positive.\nAnswer: s**(99277\/4071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 69, 77, 91, 111, 137?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*v**4 + 5*v - 58 wrt v?\nAnswer: 20*v**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 271.952 + -272. Let q = l - -0.04356. What is q rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -259*f - 644 - 986 = 960 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 17*j**2 + 51*j - 82. What is the remainder when 2237 is divided by y(14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -7*b**2 - 12*b + 3. Let x be w(-4). Let c = x + 245\/4. Sort c, 1\/2, -5, -9\/2.\nAnswer: -5, -9\/2, c, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-10)*-6*(-14)\/(-63)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/4*-2*-2. Let n = -32 - -36. Suppose 13 - 5 = n*x. Solve -x*t + h = 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -3*u + 239145, -2*u = -5*x + 28137 - 187579. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 925.5 - 926. Let n be (-9)\/(-15) + 4\/(-10). Which is the closest to 0?  (a) n  (b) -0.4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 3*v + 3*p, 3*v = -v + 3*p + 47. Let c = -9 + -27. Let z = c + 41. Calculate the lowest common multiple of v and z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 11, 87 in descending order.\nAnswer: 87, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1459*g - 1162*g - 972*g + g**3.\nAnswer: g**3 - 675*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/6678 and -67\/34754538.\nAnswer: 104263614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 68) + 1521 + -1470\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 6*d**3 - 6*d + 9 - 305016*d**2 - 5*d**3 + 305026*d**2. Calculate w(-11).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 16*b = 11*b - 25, -4*b = 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 9*u - 5*u - 159, 2*f + 122 = 3*u. Let q be 4*((-95)\/u - -3). What is the smallest value in q, 1\/4, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*3*(-605)\/(-363). Solve 3*a + 2*a - j + 8 = 0, 0 = -y*a - 3*j - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + l = 3811, 3246 = 5*g + 4*l - 1515. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**3 - 2*d**2 + 2*d**2 + (-d + d**3 + d)*(-5 + 5 + 1) - 1437*d**3 - 803*d**3 - 17980 + 17980.\nAnswer: -2237*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -3999203.\nAnswer: 15996812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3403 is divided by 3403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 1:12 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -23142 + 32123?\nAnswer: 4541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63)\/(sqrt(441) + sqrt(9)))**2 - (sqrt(448) + -3 + sqrt(448))) + 5.\nAnswer: -16*sqrt(7) + 519\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 3*m + 7*m + 1604, 1597 = 2*u + 3*m. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 138 = -2*l, -23*v + 28*v - 168 = 4*l. What is the smallest common multiple of 14 and v?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 2)*-3*1. Let d(q) = q**3 - 3*q**2 + 3*q - 4. Let a be d(i). Suppose -4*m - 20 = -4*f, 2 = -f + a*m - 9. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by 3176897.\nAnswer: 10\/3176897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tjankjwa. Give prob of sequence ktn.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003956926531 rounded to 6 dps?\nAnswer: 0.003957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -331 divided by 74306?\nAnswer: -331\/74306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wzwz when four letters picked without replacement from {w: 2, z: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2717315 divided by 7?\nAnswer: -2717315\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in 0, 6\/5, -0.3, -1.5, 2\/3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 f, and 1 a when three letters picked without replacement from {z: 3, g: 2, c: 4, a: 1, f: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 81 and 426753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 5680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (14 - 11) + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -31, -45, -63, -85, -111, -141?\n\"Answer: -2*g**2 - 8*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -8*o. Let w(u) = -6*u**2 + 3*u**2 + 0*u**2. Determine w(r(b)).\nAnswer: -192*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 6*l**2 - 25*l - 116. Let o be n(25). Suppose 20*v - 3*v = o. List the prime factors of v.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.8289 + -0.2521. Let t = -0.081 - g. What is the second biggest value in -0.1, 0.03, t?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 37022077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -4. Suppose -n*r + r + 3 = 0. Suppose -4*m = 3*g - 177, -r*m + 81 + 37 = 2*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -317*c - 591*c + 34580 = 2*c for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - (-2 - (-3 + 5)) - -6 - -17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3083*u. Let h(s) = -1231*s + 2. Give z(h(n)).\nAnswer: -3795173*n + 6166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -50*z + 3. Let w(m) = 86*m - 8. Give -5*s(i) - 2*w(i).\nAnswer: 78*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8723 and 6344.\nAnswer: 69784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -3*u**2 - 2. Let s be n(-2). Let l(j) = -j**2 + 2*j - 7. Let c be l(0). Let q = c - s. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.421465 milligrams to grams.\nAnswer: 0.000421465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -b - 6*b**2 - 2*b**2 + 0*b**2 as t*b + y + o*b**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (5 + -2*sqrt(180) + -1)**2.\nAnswer: -96*sqrt(5) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-50)\/15)\/((-1)\/(-3) - 1). Suppose 4 = 2*h - l*g, 0 = 3*h + 5*g - 31. Let m(s) = s - 9*s + h*s. Let o(r) = -2*r + 8. Determine m(o(t)).\nAnswer: 2*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -12*q. Let l(h) = 9*h + 7. Let a(n) = 4*n + 3. Let z(x) = 14*a(x) - 6*l(x). What is i(z(u))?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4341 is divided by 272?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.9?  (a) 148  (b) -4  (c) 5\/2  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -476, -2, -3, -3\/26 in decreasing order.\nAnswer: -3\/26, -2, -3, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -672*g + 668*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(1\/11))**15 assuming i is positive.\nAnswer: i**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, h: 3, i: 3}. What is prob of sequence ijj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -5*i + 117. Let m(o) = -o**2 + 57*o + 91. List the prime factors of m(i).\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 967 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 11*z**2 + 48*z + 73. What is g(-14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x, -x = j - 0*x - 7. Suppose -2*o - 5*s - 2 + 1 = 0, -o + 5*s = -7. Let g(i) = -j*i + o*i + 3*i. Let y(m) = -m**2. Calculate y(g(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23.09 - 22.89. What is the third biggest value in -15, -0.2, c?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 2*g. Let q be -1 + g + 4\/4. Suppose s - 5*w = 22, q = s - w - 2*w - 14. Which is greater: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -1526, 0.2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/188 and 32\/641?\nAnswer: 120508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 9620519, 19241172, 28861825, 38482478, 48103131?\n\"Answer: 9620653*z - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vffffvffyyffffvff. What is prob of picking 4 f?\nAnswer: 99\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*m*n*u**2 - m*n + 2*m*u**2 + 2*n*u**2 + 8*n*u - 2*n - 9*u**2 + 9*u wrt u.\nAnswer: 8*m*n + 4*m + 4*n - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 0 - 2 = 0. Let p = n - -13. Calculate the lowest common multiple of p and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/6, -0.6, -4, -20, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 2506?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m + 6 - 6)*(-30*m**2 + 72*m**2 - 22*m**2)*(-2*m + 0*m + 0*m).\nAnswer: -80*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-62)\/(-124) - 6\/10. What is the third biggest value in 2, d, 233?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 29828286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -4644575.\nAnswer: 9289150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 15 = -5*v, -126708*v + 33 = -126713*v - 4*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 126\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -3*n + 6*m + 7, -4 = 4*m. Suppose -n = -c - 3, j + 14 = -2*c. What is the units digit of ((-2)\/6)\/(j\/810)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 12:46 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -33, 1\/8, -7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + (-2 - -4))*(-19)\/(-38).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13035944 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 96*p - 3713. Calculate o(38).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b. Let r(t) = 21*t + 54. Let u(x) = -6*x - 15. Let d(a) = -5*r(a) - 18*u(a). Calculate -6*d(s) + 7*q(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 99962 and 0.2.\nAnswer: 19992.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/3 + 161004*w + 19441716012.\nAnswer: (w + 241506)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 - 38*b**5 - 20*b**5 - b**2 + 60*b**5)*(4 + 6 - 1).\nAnswer: 18*b**5 - 9*b**2 + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 - 15*d + 30. Let y be a(13). Suppose 4*z - y*z = z. Solve z*t - t - f = 1, -3*t - 2*f - 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 3*y**2 + 41*y - 283. Let m be c(20). Suppose 4*i + 1360 = -3*u, 5*u + 4*i + 535 + m = 0. Are u and -456 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3491602 not equal to -3491789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 - 3*m**2 + 21*m - 5. Let p(y) = 1. Calculate -j(i) - 5*p(i).\nAnswer: i**3 + 3*i**2 - 21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(448) - sqrt(448)*2)*6 - (sqrt(448)*1 + sqrt(448) + -3)))**2.\nAnswer: -6144*sqrt(7) + 458896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2*-2*sqrt(1573))**2.\nAnswer: 176*sqrt(13) + 25172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -14*b - 3. Let f(q) = q**3 + 6*q**2 + 6*q + 7. Let m be f(-5). Let o be t(m). Let r = 47 + o. What is the least common multiple of 8 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 154 divided by -7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21\/10 + -5\/2. Let r be 18\/48 + (-6)\/16. Is r equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -16*d**2 - 24*d + 12. Let f(b) = 13*b**2 + 20*b - 10. Let s(k) = -6*f(k) - 5*m(k). Let x(v) = -1097*v**2. Calculate s(x(h)).\nAnswer: 2406818*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, u: 2, l: 2, e: 1, p: 3}. Give prob of sequence php.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -i**3 - 2037*i**2 + 2648 wrt i.\nAnswer: -3*i**2 - 4074*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -43*r - 4. Let n(g) = 21*g + 2. Let i(o) = 3*d(o) + 5*n(o). Let p(t) = -4*t. Let z(s) = -13*s. Let b(h) = -7*p(h) + 2*z(h). Calculate b(i(u)).\nAnswer: -48*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + 12. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(4 + -1 + sqrt(242))*-6)**2 + (-1*sqrt(64))\/((-1*sqrt(288) - sqrt(288)) + sqrt(288)) + 0.\nAnswer: 64153*sqrt(2)\/3 + 81324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 3:34 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 130841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 6 = -3*m + 25, 1 = -m + 3*x. What is the third biggest value in 1\/3, 4, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 651320?\nAnswer: 2, 5, 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 7:18 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 79 = 3*g + 38, -4*b + 2*g - 102 = 0. Let c = 25 + b. Sort 2, c, 0.\nAnswer: c, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 816953592 and 468.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-5 + 5 + (-22 - -8 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1266 + -5?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 - g + 6. Let y = 27 + -12. Let r = y - 15. Calculate m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -186 + 186.0172. Let q = g + -0.1172. Sort q, -1\/3, -3.\nAnswer: -3, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**4 + p**3 - p**2 + p + 1. Let k(a) = 45*a**4 - 3*a**3 + 41*a**2 - 3*a - 3. Let d(r) = k(r) + 3*x(r). What is the third derivative of d(s) wrt s?\nAnswer: 1008*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6\/(-42) + (-79)\/84 and -27\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2 - 227151*p + 681480.\nAnswer: -3*(p - 3)*(p + 75720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 319, 640, 961, 1282, 1603?\n\"Answer: 321*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 5*j - 2 = 4*j, 5*y + 2*j = 4. Is 1\/138 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -132 + 137. Let n be (-1)\/(3\/w) + 4. Which is bigger: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29002710494197\/11499991976100 - -39795\/19706108. Let q = 77187 - 1801776142\/23343. Let n = q + m. Calculate the common denominator of n and -49\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*c - 3*c. Let h be (26\/c)\/(4\/12). Solve 2*t + 3 = h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.46 + -1.11. Let q = u - -0.6676. Round q to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -201525 (base 8) to base 2\nAnswer: -10000001101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2*j + 0 + 1)*(4*j - 71*j - 30*j)*(0 + 0 + 2).\nAnswer: -388*j**2 + 776*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(2\/17)*i*i)\/i**(2\/61))**(-50) assuming i is positive.\nAnswer: i**(-159950\/1037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 64513750 and 25805500.\nAnswer: 129027500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44827380.\nAnswer: 2, 3, 5, 13, 19157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 273*i**2 - 70*i**2 + 15635*i**2 + 4002*i**2 to m*i + x*i**2 + v and give x.\nAnswer: 19840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 858532, 0.058, 0 in increasing order.\nAnswer: 0, 0.058, 858532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1331) + -1 + 1)*5.\nAnswer: -5 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 18*y + 2102. What is the thousands digit of i(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(-6) + (3361737\/13356 - 254)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-31 - -20 - (-1 - 0)) + 13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4352*n**3 - 2176*n**3 - 2175*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/7  (b) 3  (c) -1\/2  (d) -101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -3*y + 12. Let u(m) be the second derivative of m**3\/3 - 11*m**2\/2 + 4*m - 380. What is 5*g(h) + 6*u(h)?\nAnswer: -3*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from bjbebjbeefbbjbjjbbf.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -108 - -204. Suppose g = -3*t + 4*t. Suppose -6*y + 402 = t. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**4\/2 - 35*a**3\/2 - 25*a**2.\nAnswer: -5*a**2*(a + 2)*(a + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/29  (b) -1  (c) 1\/4  (d) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 41. Suppose -2*l - y = 3*b, -3*l + b - 28 = 26. Let n = l + 32. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 57.2 + -57. Let w = -0.508 + 0.008. Which is the smallest value?  (a) -0.1  (b) w  (c) y  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d**3 - 239998*d**2 + 479990*d - 239994 = 0. Calculate d.\nAnswer: 1, 119997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.27 and 0.4.\nAnswer: -0.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -2*v + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 239571388?\nAnswer: 2, 7, 59, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 8805060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00040330207 to 6 decimal places.\nAnswer: -0.000403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8.9 - 6.9. Put k, 1\/3, 0.1 in descending order.\nAnswer: k, 1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v - 35 = -55. Suppose 16*h - 15*h - 880 = -v*g, h - 439 = -g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of b**7\/105 - b**5\/12 + b**2\/2 - 4*b. Let h(g) be the first derivative of w(g). Find the third derivative of h(o) wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, 4, 30 in decreasing order.\nAnswer: 30, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 40 = -2*g. Suppose 7 = g*a - 13. Suppose -a = k, -2*k - 195 = -l - k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -12*f + 2*f. Suppose -993 = -5*p - 143. What is the highest common divisor of f and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -67 + (69 + -3 - 60).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4453 - -27820. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -2, 0.0044389 in decreasing order.\nAnswer: 0.0044389, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -7*a - 13. Let i be k(-4). Suppose -2*n = n - i. Let w be (-15)\/2*4\/3 - -1. Sort -2, n, w in descending order.\nAnswer: n, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -257\/38 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*z + 18*z + 23*z**3 + 50*z**3 - 57*z - 1 + 22*z - z**2 to the form i*z**2 + f*z + m*z**3 + g and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7152063, -7152061, -7152059?\n\"Answer: 2*j - 7152065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -923309039 to the nearest one hundred thousand.\nAnswer: -923300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 120 + 45637?\nAnswer: 45757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*w + 3*c - 1026, 4*w - 21*c + 24*c - 510 = 0. Does 1 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -70700 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 17 = 5*r, 5*r - 92 + 71 = 6*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jqzmkqbb. Give prob of sequence mjb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**4 - 1348*b**3 - 680312*b**2.\nAnswer: 4*b**2*(b - 614)*(b + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + -4 + (5 - -3). Suppose 5 = k*x + 9. What is the remainder when x\/(-2) - (-616)\/16 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -119\/2 - -533\/14. Let c = -1525\/63 - w. Calculate the common denominator of 19\/10 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/9 + 1402436*r**2\/9 - 27317817088*r + 273162588480.\nAnswer: -2*(r - 350604)**2*(r - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60094*y + 240367*y - 60100*y - 60091*y - 60093*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bjb when three letters picked without replacement from {n: 3, e: 1, j: 6, c: 2, b: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -298 = 89*o + 38*o + 337 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-180)\/(-270)*6*3\/40?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 191*z - 139 = 2344 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 5 - v - 5)*(3*v**4 - 4*v**4 + 2*v**4).\nAnswer: -v**5 + 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = 5*i. Suppose -4*o + 5*q - q - 92 = i, -3*q - 106 = 4*o. Let n = o + 76. What is the greatest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 + 13020131?\nAnswer: 13020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 4*n + 16, -3*u - 9*n + 14 = -11*n. Let o be (2\/(-4))\/((-11)\/264). Suppose f + 3*f - 128 = 0. Solve -o = u*m - f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 4:30 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = 172*u - 170*u - 38, 2*u + 5*l = 110 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -122046, -122052, -122064, -122082?\nAnswer: -122106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*i = -114 + 729 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -881e - -5?\nAnswer: -8819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1087193.394ns in weeks?\nAnswer: 0.000000001797608125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of -g**5\/15 + g**4\/24 + 3776*g**2. Let v(q) = q**2 - q + 1. Determine -3*v(m) - 3*w(m).\nAnswer: 9*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*v - 15*v - 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (25329\/(-2))\/(-3) + (-35)\/(-70). Suppose 4*q - c = 634. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5.02998 in -0.1, 1\/190, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241115 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.6 plus -46644.003?\nAnswer: -46646.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -298\/32241 or -1?\nAnswer: -298\/32241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hlhhhrrlhlhrl. What is prob of picking 1 l and 2 r?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 + 6*r**2 - 15*r - 8. Determine j(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3002\/3 + 1001. Factor -a + 1\/3 + a**2 - g*a**3.\nAnswer: -(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -202.732 and -0.3?\nAnswer: 60.8196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 54 and 1314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 98202 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 - q**3 + (2*q**2 - 4 + 4)*(6*q - 4*q - 4*q) + 3*q**3 - 2*q**3 - 13*q**3 - q + q + q**3 in the form h*q**2 + o*q + f + s*q**3 and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -12 and 20157.\nAnswer: 20145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2066*v**2 + 9*v. Let q(k) = -2059*k**2 + 8*k. Determine 6*j(u) - 7*q(u).\nAnswer: 2017*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = s, 4*p + 2*s = -0*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 6*i = 3*a + 102, -2*i = 5*a - 134. What is the greatest common divisor of 19 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 9) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13174*z - 20*q - 452 = 13178*z, 5*z + 128 = -6*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i**2 + 9*i + 28. What are the prime factors of p(9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 270 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -a69 (base 11) in base 9?\nAnswer: -1677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*q**5*v - 17*q**4*v**2 - 4*q**2 - 27*q*v**2 + v**2 wrt q.\nAnswer: 360*q**2*v - 408*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29 - -20. Suppose 2*z - 7*z = c + 60, z = c - 6. Let l = m - z. Calculate the highest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -14*x**2\/19 - 2656*x\/19 + 40 = 0. What is x?\nAnswer: -190, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 0.21, -8, 23, -1\/25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -1 + (12 - (9 + -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvgg when four letters picked without replacement from {g: 3, v: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/4)\/(1\/2). Let z = 4 - y. Which is greater: z or -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3161, -6322, -9483?\nAnswer: -12644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 54\/3 + -1 + -1. Let c = g + -8. Solve 3*q - c = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*o - 594097 + 593929 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6*k + 36. What is n(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1728435*t*x**2 - 47*t - 7098*x wrt x?\nAnswer: 3456870*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 576879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 411 divide 1501188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tn when two letters picked without replacement from tjjnnrrnrn?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9382, -37960, -85594, -152290, -238054, -342892, -466810?\nAnswer: -609814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18067685 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of -h**5\/80 - 7*h**4\/16 - 49*h**3\/8 - 343*h**2\/8 + 23*h. What is d in t(d) = 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8353850 is divided by 10163.\nAnswer: 10027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 3*p + 2. Let o be (-336)\/(-54) + 4\/(-18). Let z be h(o). Solve 5*g = 5, 4*k - 2*g - 2*g = -z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 1686?\nAnswer: 13488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/4)\/((-2)\/4). Suppose -c + 3 = -g. Is 12 a factor of (-1)\/(-10)*c*30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 13) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -289*j**5\/4 - 6953*j**4\/2 - 58761*j**3\/2 - 61076*j**2 - 27533*j\/4 - 399\/2 = 0. What is j?\nAnswer: -38, -7, -3, -1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p + 5*p + 0 - 2)*(4*p**4 - 3*p**4 + 0*p**4).\nAnswer: 2*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -67.\nAnswer: 20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 156098, 153540, 146600, 133088, 110814, 77588?\nAnswer: 31220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/208 and 89\/4776?\nAnswer: 124176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 75?  (a) -4  (b) -2  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 2*b - 4*p, 2*p + p = -2*b + 1. Let s = -1751.1 - -1751. Let l be 2*(46\/24 + -2). What is the closest to s in l, -0.07, b?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + c + 2, 3*c + 2 = 9*f - 4*f. Let y(j) = -2*j**3 - 2*j**2 + 3*j + 2. Let x be y(f). Solve k + 16 = -x*q, -4*q + 2*k - k = 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7613 is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = x. Suppose -241*k + 226*k = -90. Solve -3*m + k = -x*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 760\/180 + (-2)\/9. Find r such that q*r**2 - 186*r + 93*r + 92*r - 3 = 0.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*w**2 + 0*w**2 - 46*w**6 - 29*w**2 wrt w.\nAnswer: -5520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 10:54 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55413?\nAnswer: 3, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1136 and 1556888?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/2096724 and -43\/99844.\nAnswer: 2096724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1501137 is divided by 53612.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 38 + (0 - (0 - -2)). Let m(n) = 90*n**2. Let i be m(2). Suppose -5*f + i = -90. What is the highest common divisor of f and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 113441050 rounded to the nearest one hundred thousand?\nAnswer: 113400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -17, -128, -319, -596, -965, -1432?\n\"Answer: -d**3 - 34*d**2 - 2*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 19 = 3*t, -5*j + 35 = -0*t + 5*t. Is 11\/8 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 11:42 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -201*u - 314. Let c be i(-2). Is c > 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*h**4 + 5*h**4 - 7*h**4)*(-4*h + 5*h - 2*h) + 2*h**5 + 0*h**4 + 0*h**4.\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 3*q + 2. Suppose -2*l - 3 + q = 0. Calculate the smallest common multiple of (1 + -5)\/(l\/2) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 - 4*a**2 - a**2)*(3 + 4 - 6)*(16*a**2 - 12*a + 12*a).\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -3*a. Let t(f) = 2*f**2 + 39*f + 149. Let h be t(-15). Let g(c) = -13*c - h*c - 3*c + 22*c. Suppose 0 = 3*k + 14 + 19. Give k*s(d) + 4*g(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49 + (92 - 12) + -13.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -4*x - 69, -2*o = 2*x - 12 - 12. What is the remainder when (-2)\/(-2) + (22 - -1) is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.5 + -0.8. Let k(r) = -52*r**2 + 1. Let n be k(1). Let i be (-1)\/(-9)*n\/34. Which is the third smallest value?  (a) i  (b) -0.05  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3469 + -4b94?\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 649?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*b - 31*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 826\/51 + -264\/17. Suppose -3*q = -0*q. Find x such that q - d*x + 1\/3*x**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-30))\/(2\/9)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8.01 + 5.14. Let v = -2.17 + q. What is v rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20375 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 4361085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -5*v**3 - 3*v - 23. Let f(g) = 14*g**3 + 8*g + 69. Calculate -4*f(k) - 11*u(k).\nAnswer: -k**3 + k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 73*b**2 + 7 - 15*b**4 - 9*b**5 + 12*b**5 + 120*b + 2*b**2 - 15*b**3 + 41 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6144478530 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = 22*a - 17. Find the second derivative of -10*w - 9*w**5 + 133*w**5 + 5*w + a - 2 + 3*w wrt w.\nAnswer: 2480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 2) + -9 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.17 - 0.07. Which is the nearest to f?  (a) 5  (b) -0.2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -4*p**4\/9 + 104*p**3\/9 - 84*p**2 + 96*p + 192 = 0?\nAnswer: -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11.7 + 4.6. Let h = 7 + u. Let l = h + 0.1. What is the nearest to l in 0.3, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 2029 + 1978 = 7*h, -32 = -h - 3*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5924 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -118.89 + 119. What is the closest to -0.1 in 3, y, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -151 - -156. Suppose -4*q - 1 = -p*l, 4*l + 4*q - 6 = 2*q. Solve l = -4*v + 9, 5*b = -v + 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/(sqrt(7) - 1*sqrt(252)))**2 + -6*(-2 + sqrt(2)) + 6*(-1 + sqrt(2)).\nAnswer: 152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -513 + 84 = -3*x. Let p be (-4)\/16 + x\/(-4). What are the prime factors of (2\/10 + 116\/(-80))*p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 7283.9 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -509?  (a) -1.1  (b) 533  (c) 0.4  (d) 0.5  (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6821555 * 1.57\nAnswer: -10709841.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (31 - -4) + 6075\/(-243). Let o(z) = -4*z + 11*z**2 - 1 - 8*z - z**3 + 0 + 6. Give o(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1371850 - -1371806.00035. Let w = 0.004 - -43.996. Let k = w + u. Round k to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cccz when four letters picked without replacement from ccdzzddccdcdcc.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -465*t + 71. Let w be l(-9). Suppose -13*a = -27*a + w. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -107, -220, -397, -638, -943?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 1:14 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 7257*w**2 + 5867*w**2 + 5437*w**2 + w - 16417*w**2 in the form j + u*w**2 + b*w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -2*u**2. Let t(m) = 2. Let c(a) = -25*a**2 - 50. Let s(v) = c(v) + 25*t(v). Calculate y(s(k)).\nAnswer: -1250*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 8) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 AM and 6:53 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0014919 rounded to 5 decimal places?\nAnswer: 0.00149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 + -9.4. Let x = -0.1 - i. Let p = 0.3 - x. What is the second biggest value in 0.2, -3\/5, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, l: 1, w: 7, i: 2, q: 8}. What is prob of sequence gwq?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3878755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23.7*0.04.\nAnswer: -0.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -322.9183506 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -72.96308 + -0.10692. What is o rounded to the nearest integer?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/7, 4, 3, 16, 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 58*s**3 - 3*s**2 - 3*s - 2. Let f(o) = -58*o**3 + 2*o**2 + 2*o + 1. Calculate 2*a(t) + 3*f(t).\nAnswer: -58*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 - 11. Suppose 5*z = 10 + p. Solve -9 = -m + 3*k, -11 - 1 = z*m + 4*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36 - 34) + (1 - 0 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.363 * 30.864.\nAnswer: 11.203632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**5\/5 - 116*h**4\/5 + 332*h**3\/5 - 104*h**2\/5 - 334*h\/5 + 44 = 0 for h.\nAnswer: -1, 1, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1366?  (a) -0.08  (b) -2.6  (c) -0.5  (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*n**2 + 3*n**2 - 49*n**2 - 59*n**2.\nAnswer: -195*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 98*m**5\/9 - 3360*m**4 + 5752*m**3\/3 - 2464*m**2\/9 = 0.\nAnswer: 0, 2\/7, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1496256000 rounded to the nearest one million?\nAnswer: 1496000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -133, -183, -249, -337, -453, -603, -793?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(-1)*w\/w**(1\/2)*w**(-10)*w*w**(-6\/11) assuming w is positive.\nAnswer: w**(-199\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 2:46 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50, 0.2, -6 in decreasing order.\nAnswer: 0.2, -6, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-5 + -2 + 2*(sqrt(304) + sqrt(304)*1) + 4)**2 + 1 + -5).\nAnswer: -4869 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.2 - 3.2. Let c = -6225 + 6221. Sort -17, j, c in increasing order.\nAnswer: -17, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 5*q - 5. Let u = 22 + -20. Let a be f(u). Solve 4*m - a = -0*m - v, -2*m - 2*v = -12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75667 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 - 2.4. Let j be ((-96)\/768)\/((-3)\/(-12))*-8. What is the nearest to 2\/5 in -5, j, -6, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (456\/(-14))\/(-3)*(-244664)\/(-272)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*z = -108*z - 28. Let c(p) = -6*p - 1. Suppose 3*m + 20 = -5*d - m, m + 4 = -d. Let u(w) = 6*w + 1. Let k(o) = d*c(o) - 5*u(o). Calculate k(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 26857429.\nAnswer: -4\/26857429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2039688 and 22626?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -3*f - 2*i + 4, -5*f + 6 = 3*i. Let k = 3583\/286 - 321\/26. What is the third smallest value in 4\/3, k, f?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**3 + 7*f**2 - 9*f + 5. Suppose 5*w = -5*t - 15, 0 = t - 3*w - 16 + 7. Suppose 15*g - 5*g - 60 = t. Calculate o(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 168\/140*-5*4\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000295306 rounded to seven dps?\nAnswer: 0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 10, a: 4, j: 1, x: 3}. Give prob of sequence ja.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2071506, -2071504, -2071502, -2071500, -2071498?\nAnswer: -2071496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, a: 5, g: 2}. What is prob of sequence uauu?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(360))\/sqrt(5) - (-3 + (sqrt(2) + 2*sqrt(2) + sqrt(2) + -2 + sqrt(2))**2).\nAnswer: -51 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 - -32. Let f(d) = 32*d**2 + 5*d - 10*d**2 - 18*d**2 - 9. Let l be f(3). Calculate the highest common divisor of l and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 take away -303?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 83 + -7. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 64, 90, 126, 166, 204, 234?\n\"Answer: -a**3 + 11*a**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -200\/11, -3\/4, -1, 0, -1\/246, -0.2, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1799*v**2 + 1164*v**2 - 5311*v**2 + 1169*v**2 + 1174*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 31465?  (a) -0.1  (b) -0.4  (c) -255  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -1)*(-5 + -1). Let x be v\/9 + 8\/3. What is the derivative of 5 - 1 + n**x - 2 wrt n?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/3 - 4645*h\/3 - 247838.\nAnswer: -(h + 166)*(h + 4479)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 794 - -140. What are the prime factors of k?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 26 = -9*z + 16, -2 = -4*z + 2*l. Let i(a) = -13*a**2. Let t(w) = -13*w**2. Determine z*t(q) - 2*i(q).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {f: 9, d: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 809 = 389*w - 358. Suppose 0 = -0*n - 5*n - 2*f + 24, -5*n + 12 = -4*f. Sort w, 5, n in decreasing order.\nAnswer: 5, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0424 + -4.9576. Let a = 1\/55 + 107\/165. What is the closest to a in 0.5, 3\/7, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -493 - -793. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -680000 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -x**2 + 5*x**2 + x**2 + (2*x - 3 + 3)*(-x + 4*x - x) + x**2 + 0*x + 0*x + (x + 4*x + 4*x)*(-2*x + 4*x + x) to a + o*x**2 + c*x and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2 = -0. What is the units digit of (l - 21)\/((-4)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -63, -66, -69, -72?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 5:10 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - 7*j + 9. Let q be i(-8). Which is bigger: 6\/5 or q?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8.6 + -165.4. Let w = -173.741 - p. Round w to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5579, -15, -341 in increasing order.\nAnswer: -341, -15, 5579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 23130?\nAnswer: -23132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) -365  (c) 20  (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 7 - 10 + j - 29.\nAnswer: j - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*c + 9*c + 340*c**3 - 9689 + 9689 - 338*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -28, -0.3, 0.3, 12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**5 + 0*l**5 + 0*l**5 + (283 - 141 - 19*l**5 - 148)*(3 - 4 - 3) - 2*l**5 - 2*l**5 + 3*l**5.\nAnswer: 78*l**5 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.19, -2, -0.3, 3, 5, 6, 1 in descending order.\nAnswer: 6, 5, 3, 1, 0.19, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -960*b - 1. Let m(z) = 5*z. Calculate m(a(x)).\nAnswer: -4800*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 1797.810291 to 2 dps.\nAnswer: 1797.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of w**4\/3 - 4*w**3\/3 + 5*w**2\/2 - 24*w. What is the units digit of r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, -1\/47, -1\/259, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-2\/3)*h\/(h\/(h*h**(-1)\/h*h*h))*h**(2\/25)\/h*h**(-6\/5)\/h assuming h is positive.\nAnswer: h**(-209\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f = -13*f - 810. Let o = f - -166. Solve i - o = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 549 is divided by (-130)\/(-78)*57\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -267.5 + 198. What is f rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 PM and 8:36 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5699 and 2953066?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -1\/2, 1\/2, 61, -1, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74844920?\nAnswer: 2, 5, 379, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 13. Which is the third smallest value?  (a) -8  (b) z  (c) 0.4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + 0 - 6 - -3. Which is smaller: 26 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/4, -12\/13, -0.2, 2\/3, 1\/9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -118 - -121. Suppose -2*l + 0*l + 88 = 2*k, -i*k - 5*l + 128 = 0. Does 28 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 33*r + 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 34, -5, 4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 PM and 8:45 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 + 21 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 922033413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of -3*s**8\/112 - 17*s**5\/60 - 12*s**2. Find the third derivative of x(o) wrt o.\nAnswer: -540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.73?  (a) -1\/2  (b) 1228  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - -4. What is the common denominator of 52\/5 and (7 - (4 + 0)) + -2*i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -27 - 86*x + 3 + 25*x**3 + 22 - 24*x**3 in the form a*x**2 + v*x + l*x**3 + f and give v.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1584 = -234*n + 232*n. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6*1)\/(198\/(-22)). Let d = -41\/2 - -19\/6. Let t = d + 17. Which is the third smallest value?  (a) t  (b) 1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 323 + -316. Suppose 5*g = 2*g - 2*n + 1533, 0 = -2*n. What is the highest common factor of h and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1811269 by 6.\nAnswer: 1811269\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + -2. Let d be 4\/(-2 - (-8)\/c). Suppose -4*w + 3*t + 2 = -2*w, -8 = -w - d*t. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 262, 254, 238, 214, 182, 142, 94?\n\"Answer: -4*j**2 + 4*j + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**4 - 3*i**2 + 3*i**2 + (1 + i**2 - 1)*(5*i - i**2 - 5*i) - 3325*i**4 + 7852*i**3 - 15705*i**3 + 7853*i**3.\nAnswer: -3324*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8316 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 46, -1, 20, -86, -5 in descending order.\nAnswer: 46, 20, 4, -1, -4, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13.6 + 0.4. Let h = 13.95 - u. Let k = h - 0.15. What is the smallest value in -2, k, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}