{"text":"Question: Let v = 2085 - 1470. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 47, 47, 35, 5, -49, -133, -253, -415?\n\"Answer: -q**3 + 7*q + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 384970344 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-1\/4))**(-37)*(g**(-2\/7)*g)**(2\/47) assuming g is positive.\nAnswer: g**(-60825\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(1088) - (-1*(3 + sqrt(1088) + sqrt(1088)))**2 - 3*((-2 + sqrt(1088))**2 + sqrt(1088))) + 5)*-1.\nAnswer: -30553 - 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (288\/80)\/(170\/425)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, -2\/5, -3, 2014?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + 12. Let u be (2\/3)\/(2\/v). Suppose -u*b - 40 = -5*x, 4*x - x - 5*b - 20 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -43, -212, -679, -1594, -3107?\n\"Answer: -25*u**3 + u**2 + 3*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 - 43*q**2 + 41*q**2 + 1778355*q - 1778355*q.\nAnswer: -2*q**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -435*v = -213*v. Factor 15\/8*y**4 - 3\/8*y**5 + 0*y + 9\/8*y**2 - 21\/8*y**3 + v.\nAnswer: -3*y**2*(y - 3)*(y - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 4 = -r + a, 5*a = r - 4. Let i be ((-8)\/(-6))\/((-2)\/(-12)). Suppose -9*t + i = -7*t. Solve -r = t*o - 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17061786 to the power of 1\/2, to the nearest integer?\nAnswer: 4131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 9) in base 3?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 543.1312 rounded to 1 decimal place?\nAnswer: 543.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*s**3 - s**3 + 4*s**3)*(s + 1 - 1 + (-4 + 0 + 2)*(2*s - 3*s + 0*s) - 7*s - s + 4*s) as r*s**3 + a*s + o + j*s**4 + h*s**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6952.2651us in days?\nAnswer: 0.00000008046603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*g**2 - 1 - g - 5*g**2 + 3 - 3 in the form u*g**2 + t + m*g and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 10774254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*(u**5\/u)\/u*u**5*u**(-3)*u*u*(u**(-3)\/u)\/u assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 307446579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 466416 and 4797?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2192 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/5, 0.5, -2\/5, 9\/46, -2\/15, 0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 13 - (26 - 30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 396031876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15 + -3 - -13 - 11. Solve -7*m - z + 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34880032.\nAnswer: 2, 11, 197, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 48124 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(1\/9)*i**16*i assuming i is positive.\nAnswer: i**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18044602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - x + 199010, 3*s + 4*x = 6243 + 113146. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 + 4*r**2 + 6*r + 4. Let v be a(5). Suppose -3 - v = 4*o. Let h(m) = -2*m - 4. What is h(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18657 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 0 = -117*t - 17 + 17. Let n(p) = 2*p + 10. Give n(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((10\/(-6))\/(-1))\/((-35)\/(-35)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 89 and 2.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 4*n**3 + 4*n - 4. Let a(i) = -7*i**3 - 7*i + 8. Let r(b) = 3*a(b) + 5*o(b). Let s be 2\/4 + 3\/(-18)*3. Determine r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37527426317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 4 = -3*s + 3*r, 0 = -4*s + 5*r - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -5017?\nAnswer: -5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -35*t - 2*t**3 - 2*t**3 - 11*t**2 - 2*t**2 + 54*t + 11 - 28*t. Let j(s) = -2*s**3 - 6*s**2 - 4*s + 5. What is -9*j(m) + 4*z(m)?\nAnswer: 2*m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(-9)*-3 + 15\/3 + (-3199)\/(-3656)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.248178 * -0.16.\nAnswer: -0.03970848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 388 = 3*r, -2*r + 5*r - 2*o = 376. Suppose 3*k - 31 = 6*i - 7*i, -2*i = -4*k + 48. Let q = r - k. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 169920 - -0.0106.\nAnswer: 169920.0106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2117704?\nAnswer: 2, 97, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i - 18 = 15*i. Let j(g) = -g**2 - 11*g - 14. Calculate the lowest common multiple of 6 and j(i).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z + z - 2*z)*(3 + 2 - 7)*(-427*z - 377*z + 881*z).\nAnswer: -308*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t**2 + 5*t - 14. Let l be w(4). Suppose 5*h = 2*g + 3*g + 150, 0 = -3*g + 5*h - 82. Let q = l - g. Let r(s) = -s**2 - 7*s - 6. Calculate r(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 3 - 4 - (-1 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of g**3\/3 - 5. Let t(j) = 16*j. Calculate t(o(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0\/(x\/(x*x\/x**(-18))))\/(((x\/(x*x**20))\/x)\/(x*x\/((x\/(x\/(x*x\/(x\/x**(-22)))*x)*x)\/x*x))) assuming x is positive.\nAnswer: x**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1431\/2 + 700. Find the common denominator of s and -33\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12105 + 3709. Let a be m\/(-44) - (-8)\/44. Let l = a - 96. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 9:39 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19205623*g**3*p**2 + 2*g**2*p + 3*g**2 + 1122*g*p**2 - p**2 + 3 wrt g.\nAnswer: -115233738*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20 - -14. Which is the closest to 2?  (a) u  (b) 2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 20*u**2 + 26*u - 265. What is j(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 9:30 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 11:43 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.284 - -4.296554. What is x rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 95 and 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**4 - 50*q**3 + 335*q**2 + 800*q + 420.\nAnswer: -5*(q - 6)*(q + 1)**2*(q + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppcpppppppppppcpp. Give prob of sequence pp.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 + (29 - 3) - 34) + 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 PM and 9:12 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1151 + -11126153?\nAnswer: -11130334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5919973.\nAnswer: 29, 204137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 57529*j**4 + 135*j**2 - 7*j - 8 wrt j.\nAnswer: 1380696*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 13 = -g - 6, 0 = 5*l + 4*g - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 58 = -184. What is the common denominator of (-6)\/d - 1565\/(-280) and 49\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3413767 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -1*(1*((sqrt(99) - (4 + sqrt(99))**2) + -3) - (-2 + sqrt(99) + 3 + -5)**2).\nAnswer: -3*sqrt(11) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-1\/4)\/(l*l\/l**(1\/2))*(l*l**(-3\/2))\/l**(-2\/9)*(l**4*l**2\/l)**(-17) assuming l is positive.\nAnswer: l**(-3133\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 + 40*b + 124. Determine o(43).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.4 + 3.9. Let w(l) = l**2 + 3*l - 1. Let r be w(-4). Which is the smallest value?  (a) f  (b) -1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 4*m**2 + 2 + 3 + 3*m - 3*m**2 - 2*m**2. Let g be u(4). Is 1 + g - 120\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from gaaaaawasawggsas.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 13980 = 4*k, 8*k - 12 = 12*k. List the prime factors of n.\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 1730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -41?  (a) 3  (b) 5  (c) -0.3  (d) 2\/4437\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6423.663 months to millennia.\nAnswer: 0.53530525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3\/3 - 1636*n**2\/3 + 32*n\/3 + 26176\/3.\nAnswer: -2*(n - 4)*(n + 4)*(n + 818)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -8, -4*j + 3*f - f + 68 = 0. Let i = 370 - 329. Let d = i - j. Round d to zero decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 5 - 20. Let t = -2 - -4. Suppose -a = -t*a + 8. Solve -3*y + x - 16 = 0, -3*y - a = 2*y + p*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -254*u - 11449. What is r(-45)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z\/z**(2\/47)*z)\/z)\/(z\/z**(-7)))\/(z\/((z*z*z\/z**11*z*z*z)\/z)*z**1))**(-42) assuming z is positive.\nAnswer: z**(29694\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -661, 1 in descending order.\nAnswer: 1, -1, -3, -661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -959\/8 - -14501\/120. Find the common denominator of (-8)\/12*((-12393)\/(-1170) - 12) and o.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2531 + 2534. Which is the nearest to -1\/4?  (a) q  (b) 4  (c) 2\/13  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 9 + 3. Suppose -4*l - 2*q + 32 = 2*q, p*l - 41 = -q. Round l to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87632 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-4 - 0)) + -2 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaavaaavaaaava. What is prob of sequence av?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -14260000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y - 1 + 1)*(-4 + 4 + 4)*(8*y**4 - y**4 - y**4 + (69*y - 92*y + 156*y)*(y - 3*y**3 - y) + (y + 0 + 0)*(0*y**3 + y**3 - 2*y**3)).\nAnswer: 1576*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -3, -2*c + 3 = -4*x + 21. Suppose -x*j + 7 = 2*r, 7*r = -4*j + 8*r + 16. Solve 3*i - 15 = -h, -j*h - 6 + 7 = -2*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-52 - -54) + (-11 - 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 670 = -3*n + 679 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -869, -1735, -2601, -3467, -4333?\n\"Answer: -866*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 + -8. Suppose 5 = 4*z + 5*w - 5, -z - 2*w = -u. Let c(n) = n**3 - 4*n**2 - 5*n + 5. Let v be c(z). Solve -20 = v*l - l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -1 + 0 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**3 - 3*a**2 + 3*a + 1. Calculate the remainder when g(-4) is divided by 62.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 225*d**4 + 455*d**3 + 302*d**2 + 88*d + 12. Let s(z) = 5 - 1768*z - 4 + 1769*z - z**2. Let g(a) = 5*o(a) - 20*s(a). Let g(u) = 0. What is u?\nAnswer: -1, -2\/5, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10\/(-4)*(-5 - 14\/(-2)). Is 1934\/z*(-95)\/38 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 6 = -0*d. Suppose -2*c + 4 = -4. Sort 22, d, 2, c.\nAnswer: d, 2, c, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116789159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4419567 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8102609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/87710 and 103\/245588?\nAnswer: 1227940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32 + 7041 + 5*a**4 - 794*a**4 + 192*a**4 with respect to a.\nAnswer: -2388*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00451382314 rounded to seven decimal places?\nAnswer: -0.0045138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -58.2960322 rounded to three decimal places?\nAnswer: -58.296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -73*i**2 - 4*i - 8. Let b(a) = -117*a**2 - 5*a - 12. Let c(f) = -5*b(f) + 8*m(f). Give c(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 156, 285, 384, 453, 492, 501, 480?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 5*u - 84, u + 80 = 2*n - 3*u. Find i, given that 8*i**5 - n*i + 12*i**3 + 24*i - 12*i**5 + 4*i**2 - 4*i**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, w: 5, k: 3}. What is prob of sequence hkww?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.8629623413 + -0.0470325487. Let c = 2.91 + n. Round c to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.12 and -7992.\nAnswer: -7992.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - (0 + 3 + -5). Let m = 4.12 - 0.12. Which is the closest to f?  (a) 2\/3  (b) 1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.056 + 4.056. Let s = -8 + 7.7. Which is the second smallest value?  (a) j  (b) s  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -9. Let d = 34 + r. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 335 = 8*s - 12*s, -4*y - s + 289 = 0. Let p(x) = 33*x - 83. What is the remainder when p(11) is divided by y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11425048.11 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46 - -53. What is the remainder when d is divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -2\/7  (b) 94\/5  (c) 52  (d) 1\/11  (e) 2  (f) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.31  (b) -4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 137129 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 7*z**2 - 7*z - 7. Calculate w(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24\/(-9) + 1\/(-3). Let a(l) = l**2 + 22*l - 48. Let x be a(-24). Sort x, m, -2, 3 in decreasing order.\nAnswer: 3, x, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from hqnqqqqaqaaaqqn?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (14 - 11) - -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -32 + 2 - (-31 + 16)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -5*m**5 - 89055*m**4 - 177935*m**3 + 2760255*m**2 - 2493260*m = 0.\nAnswer: -17809, -7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10386584657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + 2*q**2 - 5*q + 1. Let h be j(2). Let s(k) = k**3 + 8*k**2 - 10*k - 4. Determine s(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 221?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 + 20*n**2 - 43*n + 24. Let u be v(-22). Determine l, given that 3\/2 - 9\/4*l**u - 3\/4*l = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppipptptattpmt?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -211*z**3 + 92*z**2 wrt z?\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 520 and 60.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -484*f + 484*f + 159*f**2 to c*f + h + w*f**2 and give w.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*v - 18843 + 20019 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33 + -28. Suppose -2*x = -1 - f. Suppose x*p + 146 = 386. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -455 - -1164. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + ((-2)\/2 - -7). Let y = l - 2. Suppose 25 = 5*o - 5*j, -3*j = -3*o + 2*o + y. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6644.585 + 6670. Let x = 19.91 - t. Round x to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1847, -7534, -17011, -30278?\n\"Answer: -1895*t**2 - 2*t + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/3  (b) 5  (c) -1\/329  (d) 0.16  (e) -4  (f) -26\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -1181*i. Let w(r) = 3358*r**2. What is y(w(t))?\nAnswer: -3965798*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1971 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + f**2 + f + 70. Let j be m(0). Suppose 0*h + 3*h - 6 = 0, 0 = 2*c + 3*h - j. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3734 - 3734 + 8*y**2.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 11:43 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/((-273)\/69 + 4). Solve -19*k + o*k - 16 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2159 + -23712\/11. Calculate the common denominator of j and ((-10)\/6)\/(2\/8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -10*i**2 + i - 5. Let b(s) = 11*s**2 - s + 6. Let j(w) = -w**3 + 9*w**2 + 15*w - 45. Let z be j(10). Give z*b(v) + 6*f(v).\nAnswer: -5*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - -2223.149?\nAnswer: 2223.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -99234 (base 14) to base 15\nAnswer: -74d53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 + (-16)\/6)*-1. What is the second biggest value in -0.5, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (6 - (1 - 48\/15*5)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1001, -2005, -3015, -4031, -5053, -6081, -7115?\nAnswer: -8155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 2:23 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 4133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30 + 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14930156 to the nearest integer?\nAnswer: 3864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4680)\/84 - 4) + (10\/14 - (-354 + 355)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 4*q + 8 + 6, -5*n - q = -9. Suppose -366 = -3*p + p + n*d, 0 = -p + 2*d + 182. Calculate the greatest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 15 = 6. Let t = u + 27. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 610.2 - 610. Let h be 4\/((-156)\/(-28) - (-6)\/14). Put z, h, 2\/547 in increasing order.\nAnswer: 2\/547, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from atkaetkukt. What is prob of picking 1 u, 1 t, and 1 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, a: 1, p: 2, n: 1, r: 1, l: 3}. Give prob of sequence ar.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 18*t = -10*t - 18 + 30, 5*z + 18 = -4*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4042, -4044, -4046, -4048, -4050, -4052?\n\"Answer: -2*j - 4040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 17800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 10  (b) 15\/2  (c) 2\/8457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16575 = 454*a - 1117*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 789957.\nAnswer: 3, 7, 12539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -1257 and -58425 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3*(sqrt(5)*2 + 3) + -5).\nAnswer: -28 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14497937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7785 and 901905?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -2 + 6. Suppose -l + 7 = 2*c, -3*c - 2 = n*l - 11. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 296\/74*(-10)\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 75789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 429 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -5*t**7\/42 - 5*t**6\/2 - 27*t**5\/2 - 50*t**4\/3 - 530*t. Solve x(g) = 0 for g.\nAnswer: -10, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - -1233?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 953 at least as big as 799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 604, 1210, 1818, 2428, 3040, 3654, 4270?\nAnswer: 4888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*d**2 + 1 - 1)*(-4*d + 11*d - 3*d) + (d**2 - d**2 + d**2)*(-3 + 6*d + 3) as q + u*d**3 + j*d**2 + c*d and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 44 = -0*g. Let v = g - -3. Suppose 10*c = 6*c + 40. Solve -3*n - 5*j + c + v = 0, 2*n - 2*j = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*w + 384 = 52*w. Let p(q) be the second derivative of 0 + 11\/2*q**2 - w*q + 5\/3*q**3. What is the first derivative of p(o) wrt o?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 529385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-72*p**2 - 42*p**2 + 36*p**2)*(5*p**2 + p**2 - 4*p**2) + p**4 - 4*p**3 + 4*p**3.\nAnswer: -155*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -198*h**2. Let a(l) be the third derivative of l**4\/12 + 1634*l**2. Determine x(a(s)).\nAnswer: -792*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19880256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 13 = 49. Let u(t) = -t**3 - 4*t**2 + 3. Let w be u(-3). Let a = z + w. Solve 0 = -2*m - 2*n - a, 4*m + 10 = -0*m + 3*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 126661, 506533, 1139653, 2026021, 3165637, 4558501?\n\"Answer: 126624*y**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 (base 8) in base 14?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 4  (c) 0.4  (d) 6  (e) -0.833\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -4654468 at least -23272338\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*q + 2*q - 10*q + 2*q**2 to u*q**2 + a + k*q and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1515450 to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1721 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/8  (b) -3\/11  (c) -1686  (d) -2\/13  (e) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is ab - 459?\nAnswer: -39d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 23301122 (base 4) to base 11\nAnswer: 33255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1652*v - 981*v + 1029*v + 794*v.\nAnswer: 2494*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11011010010100101 (base 2) to base 8.\nAnswer: -332245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30.72294 - 30.63. Round m to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/4, -0.06, 6\/11, -3\/16519?\nAnswer: -3\/16519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q + 16. Let y be r(-7). Suppose -2*h = -n - 11, -4*h + 5*h + y*n = 18. What is the highest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250114847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 311 - -19. Suppose -n + v = 4*n. Let z = n + 28. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r**2 + 11*r + 7. Let h(w) = 2*w**2 - 4*w - 3. Let v be h(4). Let t(x) = 1 - 2 - 218*x**2 - 2 + 217*x**2 - 5*x. Calculate v*t(y) + 6*j(y).\nAnswer: -y**2 + y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 155611 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3975485, -3975501, -3975519, -3975539?\nAnswer: -3975561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 100244 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 0.15, 3\/8, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-22) + 57\/11. Suppose 5*x = n - h*n + 10, 2*x = -4*n + 4. Determine o so that -o + 2*o**2 - o + 3*o - o**3 - 2 + n*o**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1283, -1304, -1347, -1406, -1475, -1548, -1619?\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3*(-6)\/5*(-1 - 129). What is the lowest common multiple of (4\/(-3))\/(-3 + (-75)\/(-27)) and (s\/(-65))\/((-3)\/(-20))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 1:57 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23 + 16. Suppose 2*h + 5*f = 279, -3*h = 4*f - f - 432. What is the remainder when h is divided by 212\/7 + 2\/o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.5103 centuries in months?\nAnswer: 79812.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12484806 at least 62424028\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*d - 384 + 114 - 185. Solve -62*g + d*g = -98 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63)\/sqrt(3)*3)\/sqrt(3) - (sqrt(448) + -2*sqrt(448) + -5))*5.\nAnswer: 25 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(2) + -1*sqrt(2) + 1 + sqrt(2) + sqrt(2))**2 + sqrt(2).\nAnswer: 5*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 + 8*n**2 - 2*n + 8. Let s be d(4). Let q = 46 + s. Round q to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -321 = 3*a - 303, 26 = -4*v - 3*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is bc9a - 3465?\nAnswer: 8835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(20) - sqrt(100)\/(sqrt(25)\/sqrt(5)))\/sqrt(4) - 1*((sqrt(245) + 2)*-3)**2.\nAnswer: -2238 - 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5395172 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13860)\/9702*2*(-18)\/(-15)*63\/(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of -37*n**4\/8 - 127*n**3\/6 + 130*n**2. Is s(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 1 - (6 - (18 + -9))) + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of -5*d**4\/4 - 5*d**3\/3 + 5*d**2\/2 + 5*d - 4. Factor y(r).\nAnswer: -5*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 78*w - 22*w + 392 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1415*d - 4261*d + 1426*d + 1417*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34334 (base 5) to base 14.\nAnswer: c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 541 (base 10) to base 4\nAnswer: 20131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 1 = -2*v, 0 = -x - 3*v - 16. Suppose -4*b = f - 16 + 1, 0 = 4*b + 2*f - 14. Sort b, x, -1 in descending order.\nAnswer: b, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 1917*a + 15988. Determine m(-8).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 8*t - 1. Give c(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 3*m. Let l = 1899.1 - 1775. Let z = -126 + l. Is z less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/16*-3*40\/(-30)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 42?  (a) -2  (b) -6  (c) 1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -140.37223 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1241 (base 7) to base 9.\nAnswer: -572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 99192 less than 151.97?\nAnswer: -99040.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (34\/(-30))\/(-17) + 814\/165. Solve 16 = l*s + 4*c, -1 = -4*c - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 21\/5 of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of f**6\/4 + 7*f**5\/5 + 13*f**4\/8 - 3*f**3 - 5*f**2 + 4*f + 17. Factor q(p).\nAnswer: (p - 1)*(p + 2)**3*(3*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes after 10:13 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3499229\/90 - 38879. Find the common denominator of 101\/42 and w.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -133*1\/561 - (-41)\/((-86592)\/(-128))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8870, -19506, -30142?\nAnswer: -40778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*v + 953*v - 2109 + 435 = 0. Determine p so that -15\/8*p + 1\/8*p**v - 17\/4 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**4 + 8*q**3 + 76*q**2 + 112*q + 48.\nAnswer: -4*(q - 6)*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -5*a + 27, 0 = -4*a + 2*a + 2*j + 10. Suppose h + 18 = 5*s - 4, -s + a = -h. Suppose s*u - 3 = 9. Let d(t) = -t + 2. Give d(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -21*g**3 - 3*g**2 - 10*g + 81. Let s be a(-8). What is the highest common factor of s and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.02 and 189?\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/5)\/g**1)\/(g*g*g**(-1\/3)*g)**(2\/39)*(g*g**2*g*g**5)**(15\/8) assuming g is positive.\nAnswer: g**(72719\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1027, 1059, 1111, 1183, 1275, 1387?\nAnswer: 1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00010422 to six dps.\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -6  (b) -4  (c) 0.2  (d) 0.1  (e) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from qppypypyppyppppyyyp.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 29*q + 131. Suppose -13*k - 22452 = -22387. Determine l(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) 1  (c) -4\/7  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 80, 76, 70, 62, 52, 40, 26?\n\"Answer: -g**2 - g + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 652 + -372. Suppose -4*v = v - k. Suppose 4*p - 16 = -v. Which is greater: p or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1852 is divided by 398.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from axtxtxataaxaattat.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 17\/2 of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8040 by -2.\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -964, -1919, -2874?\nAnswer: -3829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*l**2*s**3 + 4*l**2*s - 85*l*s**3 - 4*l wrt l.\nAnswer: 24*s**3 + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((6\/(-60))\/(-1)*6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 644 and 2886408.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -12396472 rounded to the nearest ten thousand?\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 11:26 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -1 + -25 + (14 - 5) + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - -1) + -7 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -3. Suppose -3*c - 4*p = -331, 4*c + 61 - 501 = -f*p. Calculate the remainder when 28 is divided by (c\/(-14))\/((-1)\/2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 621.50802 hours in weeks?\nAnswer: 3.6994525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/6 and 13\/36060.\nAnswer: 36060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 10:13 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -75430 + -455?\nAnswer: -76105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -190034151*c**2 - 205444455*c?\nAnswer: -380068302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 371639.\nAnswer: 371639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3322 - -1?\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.004, 12\/13, -0.1?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 335840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (234\/(-45)*-1)\/((-6)\/120*-2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11296, 11401, 11582, 11845, 12196, 12641?\nAnswer: 13186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 36 - 34. Suppose -6*c + 100 = -t*c. Solve 0 = -5*j - 4*k + 21, -4*j + c - 1 = 5*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(-18) - (-3 - 126\/(-54)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 144 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + p + 19. Calculate g(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 = -10*r - 150 + 264. Let y = -1.9 - -0.9. Which is the nearest to 2\/5?  (a) y  (b) r  (c) 5  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246179946?\nAnswer: 2, 3, 41029991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, z: 2, f: 1}. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 114769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 869*a**3 - 2 - 267*a**3 + 4*a + 2039*a**3 + 2 to the form m*a**3 + z + u*a + k*a**2 and give m.\nAnswer: 2641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -510879, -510888, -510905, -510930?\nAnswer: -510963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**3 - 6*f**2 - 2*f - 9. Let o be -2*(21\/6 - -2). Let x = o - -5. Let a be y(x). Solve -2*s - 3*k + 20 = 0, -a*s - 2*k + 0*k = -20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of 0 - 5*l + 1\/2*l**3 - 1\/8*l**4 - 3\/4*l**2. Factor t(j).\nAnswer: -3*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/4*(-18088)\/508725\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7351*b + 75*b**2 - 7341*b - 14*b**2.\nAnswer: 61*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 - 46. Let o(f) = f + 15. Let v be o(r). List the prime factors of 0 - v - (-62 - 8).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116 = -377*d + 373*d. Suppose 840 = d*q - 21*q. Calculate the remainder when q is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2007 (base 9) to base 5\nAnswer: -21330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -7*d**3 + 6*d**2 - 4*d + 6. Let v(y) = 5*y**3 - y**2 + y - 1. Let h(c) = -6*c**3 + c**2 - c + 1. Let o(k) = 4*h(k) + 5*v(k). Give a(x) + 6*o(x).\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 215, -3, -2, -15, -86 in decreasing order.\nAnswer: 215, 3, -2, -3, -5, -15, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 737*h - 15444 - 2164 = 3491 + 3222 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 305135 or 305137?\nAnswer: 305137","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Express (585 - 1044 - 1099)*(0 - 2*g**3 + 6 - 20*g**4 + 19*g**4) in the form f*g + v*g**2 + k*g**4 + b + a*g**3 and give a.\nAnswer: 3116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13.56 + -12.5. Let j = -0.14 - t. Let g = j - -1.199865. Round g to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, a: 6, s: 4, q: 2, j: 1}. What is prob of picking 2 h?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -165529, -165530, -165521, -165496, -165449, -165374, -165265, -165116?\n\"Answer: f**3 - f**2 - 5*f - 165524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102*b**3 - 122*b**3 + 21*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7.92 - -7.97. Which is the closest to 0?  (a) z  (b) 0  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 399086.\nAnswer: 2, 383, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 4*z + 6. Let g be i(-3). Let h(y) = -y + 10. Let b be h(8). Suppose 6 = b*t - 0. Does g = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*j - 1)*(67 + 149*j - 148*j - 324).\nAnswer: 2*j**2 - 514*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = -25, 2*m = 2*u - 0*u - 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 67804531 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -6*t**2 + 49*t + 1004. Give z(-8).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5\/1)\/(3\/3). Suppose 5*h + 4*y = 730, 10*h - 3*y = b*h + 730. Let z = h - -46. What is the greatest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/3 and 544\/560 + 0 + -1.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.8 times 7223?\nAnswer: 41893.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 248346903?\nAnswer: 993387612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.014 in 0.22, -0.111, -0.4, -1?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2741 - 1391. Does 45 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 4*q - 3*i - 9, 0 = 4*q - 2*i - 28. Let d(s) = -s**3 + 4*s**2 + s - 3. Let g be d(4). Solve -w = 5*p - 25, q = p + w + g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 104\/18 + 2\/9. Suppose -10 + 22 = 3*r. Is r smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8103, -8096, -8079, -8046, -7991, -7908, -7791, -7634?\nAnswer: -7431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r + 1. Let y(c) = 3*c + 3. What is -7*v(d) + 3*y(d)?\nAnswer: -5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 223 a factor of 61182992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*r**2 + 4*r + 13*r**2 - 3*r**3 - 8*r**3 + 0*r.\nAnswer: -11*r**3 + 16*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 496 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/4 - 49\/4. Let z(w) be the third derivative of -w**4\/24 + 5*w**3\/2 - 2*w**2 - 350. Let o be z(i). Calculate the highest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81*r + 44*r + 10*r**2 + 36*r to the form y*r + f + b*r**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 0)*((3*v + 0*v - v)*(0 + 0 - 1) + 0 + v + 0 - 3 - 2*v + 3).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zdctdxu. What is prob of sequence xz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 180 and 1140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i - 11. Let f be v(-9). Let g be f\/(-2) - (-9)\/3. Suppose 2*o = 4*o - g*s - 68, -4*s + 184 = 5*o. 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: Let s be ((-188)\/(-96) - 2)\/((-44)\/(-396)). Let t = -0.4 - 2.6. Let r = -3.2 - t. What is the closest to r in -0.5, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14188488 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(54)\/sqrt(32))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4054, -8148, -12240, -16330, -20418, -24504?\nAnswer: -28588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(2 + sqrt(252)*1*5 - ((sqrt(252) - ((sqrt(252) + sqrt(252) + 0 - sqrt(252)) + 5)) + 2)))**2.\nAnswer: 7500*sqrt(7) + 158125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 73331 + -39422. What is the ten thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 109030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 3*v = 106, -9460*z + 2*v + 72 = -9457*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -0.03333\nAnswer: -0.003333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = y + 130 - 135 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1310*j - 6 = -1308*j. Let m = 289\/3480 + -6\/145. Let u = -1\/12 - m. Which is the second biggest value?  (a) -2\/9  (b) u  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2a + -154?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 5:25 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(363) - (-4 + (sqrt(363) + 0 - sqrt(363)) + sqrt(363))**2 - (-3 + sqrt(363)*1).\nAnswer: -376 + 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 132536*-141.33\nAnswer: -18731312.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1041012124 + 1?\nAnswer: 1041012130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -99 - -74. Let f be 10\/(-7)*(s + 11). Let i be ((-330)\/f)\/(2\/(-24)). Calculate the highest common divisor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/1*(((-231)\/33)\/(7\/7))\/(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2318014133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 510795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 419\/(-21) + (-22266)\/(-13607) + (-404)\/(-22)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1001133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uxluiluilg. Give prob of sequence il.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -230 - 110*t + 235\/2*t**2 - 5\/2*t**3.\nAnswer: -5*(t - 46)*(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 339049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 k, 1 o, and 1 a when four letters picked without replacement from oakkaaaaauokf.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + 9d0e88?\nAnswer: 9d0e85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-94)\/141)\/(646\/(-4560) - (-2)\/16)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (4 + 0)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2268, 4234, 5902, 7272, 8344, 9118?\nAnswer: 9594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 times -221.1?\nAnswer: -4.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 22322040 (base 6) to base 3\nAnswer: 1021112011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -87\nAnswer: 4\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -1954*n**2 + 4*n - 1957*n**2 - n**3 + 3906*n**2 - 1. What is k(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(3\/4)*o*o**(3\/2))\/(o*o**(-18)*o**(-24\/13)\/o) assuming o is positive.\nAnswer: o**(1175\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 25*i**2 + 21*i - 538. Let l(q) = 8*q**2 + 7*q - 178. Let n(h) = 14*l(h) - 4*u(h). Differentiate n(p) wrt p.\nAnswer: 24*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 33002454 - 1651.\nAnswer: 33000803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -6*a - 4. Let d(m) = 7*m + 5. Let o(z) = 3*d(z) + 4*q(z). Let c be (-3)\/((-3)\/8) + -3. Suppose -c*b - 12 = -b. Determine o(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 129807 and 132651.\nAnswer: 1913225373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -90 - -42. Let y = s + 137. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o = 9*o - 11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 7*s + s + 2*s. Let x(c) be the second derivative of c**4\/12 - 577*c. Calculate y(x(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 15) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3247527 + -12090543122\/3723. Let y = -2674429\/438 - -6106. Let t = y + w. Is t at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2*h + 9. Let r(b) = 3*b - 16. Let p be r(7). Let w(u) = -3*u + 13. Determine p*w(z) - 7*f(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h = 7*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 11:54 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + 10020?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 9*a + 13. Let n be p(10). Suppose -2*r = n*r - 35. Suppose -7 = -2*t + r. What is the highest common divisor of 14 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(-1) - 3)*(-609)\/812 - (-58 - -1).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*1\/2)\/(486\/(-1296)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8254, 4\/9, 2 in ascending order.\nAnswer: -8254, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -255 = -3*t + 3*u, -2*u + 255 = t + 2*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 829 or 60480\/73?\nAnswer: 60480\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(1\/17))\/p)\/((p\/((p*p**(2\/5)*p)\/p))\/p)*(p**27)**(-17))**5 assuming p is positive.\nAnswer: p**(-38891\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**3 + 2*j**2 - 2*j + 2. Suppose -4*t + 91 = 11. Let x(k) = 19*k - 378. Let s be x(t). Calculate b(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, c: 2, q: 2, x: 1, j: 5}. Give prob of picking 2 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -9c99a (base 13) to base 8\nAnswer: -1054605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -122*g**2 + 7683*g + 142. Give b(63).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 64395 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90*l - 5685*l**2 + 14 - 62 + 85*l - 175*l + 5686*l**2.\nAnswer: l**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1126098149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 + -19. Let w(g) = g**2 - 8*g + 3. Let s be w(8). Suppose -6 = -3*n + s. Solve j = -n*c + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 17*y + 32. Suppose 0 = -13*j + 41 + 180. What is the remainder when f(j) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 4*s**2 - 6*s. Let u be 5\/(-4) - (-7)\/28. Let k(h) = h**2 - h. Let x = -2 - 1. Let f = 3 - x. Give f*k(z) + u*d(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -71 + 108. Let s = z + -34. Suppose 142 = s*q - 2*p, p - 67 + 23 = -q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.24722 to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42012 divided by -355.\nAnswer: 42012\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 112 = -l + 3*j, l - 5 = -5*j. Calculate the remainder when l is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x - 1. Let k(g) = -3*g**2 - 18*g - 18. Let p = -23 - -22. Let v(y) = p*k(y) + 18*a(y). Let c(m) = -5*m. Determine c(v(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -526 + 537. Let s(n) = -2 - 4*n + 7 + 5*n**2 - 4*n**2. Let k be s(5). Which is bigger: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -4*q - 2. Suppose 3*m + 2*h + 1 = 0, 2 - 7 = 5*m + 4*h. Let g(w) = 2 - 7 - m*w + 2 - 4*w. Determine 5*a(i) - 3*g(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -5*u**2 - 157*u + 4668. Give c(-50).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - 3*k**2 - 17*k + 48. Determine h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.5 - 4. What is the second smallest value in -2, 0.4, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -156471403, -156471404, -156471405, -156471406, -156471407?\n\"Answer: -r - 156471402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -1.7, 1\/5 in decreasing order.\nAnswer: 1\/5, 0.1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of j**5\/30 + 2*j**2 - 84. Let t(d) = -226*d. Determine y(t(n)).\nAnswer: 102152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 4*r = 3*b - 264, -3*b = -2*r - 264. Let l = -21 - -29. Calculate the highest common divisor of b and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5 - (-20)\/3)*(-12822)\/(-2)?\nAnswer: 5, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3730, -14867, -33422, -59389, -92762?\n\"Answer: c**3 - 3715*c**2 + c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.4, -10\/21, 3, -5, 1\/11 in decreasing order.\nAnswer: 3, 0.4, 1\/11, 0, -10\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 + 652 - 332 - 328 - s. Let z(p) = p + 7. Calculate 5*o(v) + 6*z(v).\nAnswer: 5*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 5*c**2 + 6*c - 5. Let b be o(4). Suppose -2*t - 108 = 10*t. Put -2, t, b in increasing order.\nAnswer: t, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 352*w - 347*w = 0, -5*c - 2*w + 33 = 0. Suppose -3*j + 52 = 7. Solve -c*u + 0*u - j = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30 + 58*l**2 - 38 + 73 - 25*l**2 in the form u*l + m*l**2 + f and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 404241 (base 5) to base 15\nAnswer: 3d16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, -1, -5 in decreasing order.\nAnswer: 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1100, -1113, -1132, -1157, -1188, -1225, -1268?\n\"Answer: -3*b**2 - 4*b - 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/(66\/(-12)))\/((-91)\/637)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 26*x**2 - 29*x - 55. Is c(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 3*o - 804 = 0, -2*o - o = -4*y + 1086. What is y rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 472 = -284. Suppose -3*m + 7*b - 2*b = -u, m - 63 = 2*b. What is the greatest common divisor of m and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15310.618384344 - -0.01.\nAnswer: -15310.608384344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 21 = -7*k. Which is the second smallest value?  (a) -5  (b) -2\/3  (c) 3\/4  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.5 + 0.6. Let a = -0.3 + x. What is the second biggest value in -4, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6*-28.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -35, -44, -47, -38?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19462807846 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/9)\/(2\/(-24)). Let h(c) = -c**3 + 9*c**2 + 12*c - 17. Let v be h(10). Suppose 138 = v*n - m - 154, -3*m = -f*n + 396. Is 32 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.92 - -6. Let r = l + 3.92. Let m = -0.294 + -1.706. What is the second biggest value in r, 0, -1, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14*w + 11*w**2 + 14*w)*(2*w - w - 2*w) - 7*w**3 + 6*w**3 - 8*w**3 as g*w**2 + b*w + m*w**3 + i and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 140 - 129. Let m = 10 + -10. Suppose -n*t + 6 + 137 = m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*2*sqrt(5) - ((sqrt(60)\/sqrt(4))\/sqrt(3) + sqrt(5))) + 5)**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24.1, 143, 4, 0 in decreasing order.\nAnswer: 143, 24.1, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -50.60828764067 less than -30?\nAnswer: 20.60828764067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {z: 4, h: 2, r: 4, j: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 225 and 276525?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + m + 67 = 4*m, -4*j - 5*m + 268 = 0. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 + 121. Let a be v\/70 - (-4)\/(-14). Factor -8*q**3 - 26\/5*q**2 - 18\/5 - a*q**4 + 12*q.\nAnswer: -2*(q + 3)**2*(2*q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70.56307543437 + 0.01.\nAnswer: 70.57307543437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k**2 - k - 5. Let n(b) = -2*b**2 - b - 4. What is -3*n(w) + 2*o(w)?\nAnswer: 2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 + 2*k - 3. What are the prime factors of b(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 7 = -p, 3*q = 64*p - 67*p + 33 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15*2*3\/9. Let i = -5 + f. Let g = i - -4. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a - 5. Let t be 4\/14 - 57\/(-21). Suppose -i + c = -t*i + 12, 32 = 5*i + 2*c. Let z be u(i). Solve z*h = -1 - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x + 17 - 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 1.7. Let j = y - 5.7. Let i = -0.1 - -0.2. Which is the closest to i?  (a) 0.4  (b) -1  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-34)\/(-51))\/(2*(-3)\/(-36)). Let r = 3 + -3. Let x be r*(-1 + 0 - 0). Solve x = -0*w + b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**4\/2 + 3267*k**3\/2 + 419001*k**2\/2 + 409185*k\/2 - 415725 = 0. What is k?\nAnswer: -115, -2, 1, 1205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 9*h + 15. Let t(f) = 2*f + 3. Let z be (-28)\/(-9 + 16) - -6. Give z*c(a) - 11*t(a).\nAnswer: -4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fsssstssfssfsz. What is prob of sequence szf?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1813 divided by -1?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 + 14*a. Calculate f(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 18, 123.\nAnswer: -1, 18, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -191, -221, -265, -317, -371, -421, -461?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -65501\/9198 - 80\/511. Calculate the common denominator of 87\/10 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(-4))\/(36\/96). Solve 2*d = -2*c + a, 5*c - 7 - 17 = 2*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - b - 13489498, 31*a + 10791594 = 35*a - 3*b. Suppose -46*j + 29*j + a = 0. What is j rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that a**3 - 2278*a**2 + 779091*a + 2357802 = 0.\nAnswer: -3, 423, 1858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -7 + (4 - 0) - 34. Let p = i + 45. Calculate the lowest common multiple of 2 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 - (4\/(-2) + -1). Let z be w - -1 - 3\/(-1). Suppose 12 = 3*f - g, z*f - 26 + 5 = 5*g. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, 41, 3, 87, -3, -0.5?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32545303787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 2*l + 2, 2*q + 1 = -l + 6*q. Calculate the remainder when 135 is divided by 17\/((l + (-3)\/(-6))*-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9276.7126 + 9357.7. Let f = 81 - w. What is f rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 154452330?\nAnswer: 154452334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 27650509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -291, -13439, -4, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1250021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0015361 to five decimal places.\nAnswer: -0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 11351 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 6*u = 24. Let c be ((-30)\/u)\/(9\/24). Calculate the highest common divisor of c and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 31*m + 2. Let f be o(2). Differentiate 3 + 61*u + f*u - 37*u**2 - 125*u wrt u.\nAnswer: -74*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of -v**5\/20 - 5*v**4\/12 + 11*v**3\/3 + 49*v**2\/2 + 65*v. What is h(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4b - db9a55?\nAnswer: -db9aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 (base 15) in base 14?\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -96 - -98. Let d = 8 + -8.3. Which is the nearest to -2\/5?  (a) p  (b) 1  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 76 + 87 - 2*z + 88 + 61 - 210. Let q(p) = -p. What is u(q(y))?\nAnswer: 2*y + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 + 2*s**2 - 2*s**2)*(3*s**3 - s**3 + 7*s**3) - 3*s + 3*s + 2*s**5 + (s**3 - 6*s**3 + 0*s**3)*(3*s**2 - s**2 - s**2).\nAnswer: 15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -111.483 - -16.393. Let g = s - -96. Let x = g - -3.09. Put -3, x, -1, 1\/21 in decreasing order.\nAnswer: x, 1\/21, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 11*n + 2. Let l be -1 - 3*(-3)\/3. Let p be k(l). What is x in -32*x**4 + x**5 - 2*x**5 - p*x**3 - 11*x**5 + 4*x = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**3 - 1 + 1 + l**3 - l + l + (0*l + 2*l + 0*l)*(-278 - 33*l**2 + 278).\nAnswer: -67*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + 10*r - 7. Let w be y(9). Suppose -z - b = -w, -5*z + 12 = 5*b - b. What is the first derivative of -1 - z*t + 2 + 6*t - 3 wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r + 5. Let c be q(-3). Let x = c - 4. Let d = 4 + x. Solve 5*w - 2*i - 9 = 0, -3*w - 3*i - d = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 99*j - 100*j = -17, -5*j - 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/5 in 131, -1, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 30 = -4*w, 5*w = -u + 36 - 8. Suppose 0*h = 2*h - w. Suppose 0 = -r - r + 4. Is h smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -5, 0.5, -8, 1\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 2.08. Let o = w + -0.32. Let f = -2.1 - -2. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 6*q = -7400000. What is q rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 + 27 + 7*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/120 and 49\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1827128*f**5*i**2 + 5164*f*i**2 + 43*f wrt f?\nAnswer: -36542560*f**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65, -3, 325, 1039, 2259, 4105, 6697?\nAnswer: 10155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/((-16)\/18))\/((-3)\/(-1))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2*h = -12, i + 6*h + 8 = h. Let f(n) be the third derivative of -i*n**2 + 1\/24*n**4 + 1\/9*n**3 + 0 + 1\/180*n**5 + 0*n. Solve f(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -19*q**4\/6 + 103*q - 102. Let v(a) be the first derivative of j(a). Let k(d) = 2*d**2. Determine k(v(x)).\nAnswer: 2888*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x. Let h be (-4)\/8*(4 - 4). Let p(d) be the third derivative of d**2 + h + 0*d**3 + 0*d - 1\/12*d**4. What is b(p(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/(25\/(125\/30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/14 + 443\/7. Suppose -72*f - 166*f - 9734 - 3832 = 0. Let g = a + f. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 48*h - 4. Let y(w) = -95*w + 7. Calculate -5*q(j) - 3*y(j).\nAnswer: 45*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*3917.572.\nAnswer: -1175.2716","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: (4*(-25)\/40)\/((-21)\/168)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -11685*h - 3895*h + 193*h - 16554*h in the form l + o*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -1.45, -0.01, -2\/3.\nAnswer: -1.45, -2\/3, -0.01, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o - o + 2*o)*(1 + 1 - 1) + 113*o + 237*o - 18*o + 52*o to the form t*o + u and give t.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-31)\/(-155))\/(3 - (-72)\/(-20))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005230624 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x - x - x - x + 1 - 1 + (0*x - x + 0*x)*(-5 + 3 + 0))*(-4*x + 14*x - 4*x).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -36 in -4, -11\/3, 86?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 67.35 to zero dps.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 40.09 - 40. Which is the second smallest value?  (a) -2\/3  (b) k  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119538\/17 at least as big as 7031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)*-2)\/sqrt(3))\/(sqrt(10) - sqrt(1800)\/sqrt(5)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.02, 0.3, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-25)\/5)\/(-5))\/((-3)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 346.859 tonnes to nanograms.\nAnswer: 346859000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 5 = 45. Let h(u) = 2 - 5 - 4 - z*u + 7*u. Let i(g) be the third derivative of g**4\/4 + g**3\/3 + 46*g**2 + 61*g. Calculate -2*h(w) - 7*i(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide (3\/5)\/(6\/50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 881880.\nAnswer: 2, 3, 5, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3099525 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16\/(-64) + 2\/(-8). What is the closest to w in 2, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 - 2*y + 5. Calculate v(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = 19*k - 27*k. What is the hundreds digit of (-2 + 464)\/3 + (-9 - k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -645 - 2?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/2832 - -6619\/31152. What is the common denominator of -20\/9 and o?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -35 - -18. Let x = k - -7. Let i(m) = -m**3 + 10*m + 7. Is i(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/8)*s**(-2\/17))**36*s**(-1)\/s**(-2\/7)*(s\/(s**0\/s))**(2\/37) assuming s is positive.\nAnswer: s**(-3007\/8806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 190901 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 7  (b) -2061\/443  (c) -1\/2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 4:13 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y - 3*y + 2*y)*(14 + 4 + 5) to the form t + o*y and give o.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2363391*i**3*l**2 - 16*i**3*l*n + 14*i**2*l**2*n - 5*i**2*l**2 - 8*i**2*l*n - 10*i**2*n - 2*i*l**2*n + 9*i + l wrt i.\nAnswer: -14180346*l**2 - 96*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*h**5 + 390*h**4 - 2335*h**3 - 175200*h**2 + 535940*h - 358800 = 0. Calculate h.\nAnswer: -78, -23, 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9777.7754 - -9783.8753789. Let r = -6.1 + s. What is r rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1 - -90) + (-10)\/5*1?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c\/(c**(-1\/2)*c)))**(-2\/41)\/(c**13*c\/((c**(5\/7)*c)\/c*c)) assuming c is positive.\nAnswer: c**(-3547\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 24 and 41.2?\nAnswer: 988.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1376 + -835. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12673 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 PM and 7:54 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 451661\/4 + -4019593\/36. Let u = -1264 + l. What is the common denominator of u and 33\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 383652?\nAnswer: 2, 3, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*v - 352 = -126*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/(-396))\/((-96)\/176).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 244 + -244.0654. Round k to 3 dps.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(110\/65) + 1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.3, 92\/275, 0.1, 2.\nAnswer: -0.3, -0.1, 0.1, 92\/275, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-4*(-3 + sqrt(832)) + (sqrt(832) - (3 + sqrt(832))*6))*-5)**2.\nAnswer: 18000*sqrt(13) + 1685425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (-16 - -2) - (14 - (12 - -10)) - 27.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b + 5*b, -b - 6 = -3*v. Suppose 4*s - i = -0*i - 3, 0 = 5*s - 3*i + 9. Suppose s*j + 16 = v*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -11. Let m(i) = -i**3 - 11*i**2 - 11*i - 7. Let b be m(-10). Let h be (t\/30)\/(1\/b). Is h at most as big as -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15.7 + -10.7. Which is the biggest value?  (a) -2  (b) m  (c) -9.61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 * 5876382\nAnswer: 129280404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, -0.4, -9, 2.194, 0.2, -2.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2465840999?\nAnswer: 67, 36803597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1289\/6 + 427\/2. Put -1, -29\/13, g in increasing order.\nAnswer: -29\/13, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3128 take away 654.472782?\nAnswer: -3782.472782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/8)\/(45\/80). Which is the closest to 2\/7?  (a) 0  (b) n  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 692650 and 1350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2299750205?\nAnswer: 5, 97, 4741753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -4, -99, -156 in ascending order.\nAnswer: -156, -99, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5510 + 5689. What is the highest common divisor of 7 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -3. Let y be (-285)\/55 - v\/(-11). Let r = 2 + -1.9. Put r, y, 0 in decreasing order.\nAnswer: r, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d**(5\/3)\/d*d*d)*d\/(d*d**(-6\/7)))\/((d\/d**(-10\/3))\/(d**(-3)\/d*d)))**25 assuming d is positive.\nAnswer: d**(-1425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1.024776 minutes?\nAnswer: 0.0170796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 213 divided by -3?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 9) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 222, 483, 808, 1257, 1890?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -23*a**2 - a + 6. Give g(3).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 5*c - 15, 2*o - 3*c - 11 = -0*o. Let g be (o\/(-3))\/(4\/(-138)). Suppose -g = -5*j + 79. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 - -2)*2\/(-3). Let g = -2 - -4. Find the third derivative of -m*i**6 + i**6 + i**g + 2*i**2 - 3*i**6 wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)\/sqrt(4)*3)**2 + -2*sqrt(77)\/(sqrt(33)\/sqrt(3)))*2.\nAnswer: -4*sqrt(7) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 110 and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3912 divided by 1956.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11536 - 17517 - 7176 + 4834)*(-j - 2*j + 5*j).\nAnswer: -62790*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*q - 2*q - q)*(-13*q - 27 + 27)*(3 - 1 - 3) + 0*q + 0*q - q**2 in the form r*q**2 + u + n*q and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 25aba6 - -2?\nAnswer: 25aba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2b + -e?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 40 + -15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.117, -5, 85523 in ascending order.\nAnswer: -5, -0.117, 85523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 5*d - 5. Let x(s) be the second derivative of -s**3\/2 + 3*s**2\/2 - s. Give -3*n(w) - 5*x(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.072086 rounded to 2 decimal places?\nAnswer: -6.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5621204609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 11. Suppose 138 = w*y - 94. Suppose -o = 2, -5*z + y = -o - 3*o. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 409620 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*t + 1 - 2*t**4 - 2*t**2 - 19*t + 0*t**2 as c*t**2 + i*t**4 + z*t**3 + j*t + b and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/98 and 83\/168.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5854 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*k + 13. Calculate the remainder when (k + (-204)\/(-8))*192\/40 is divided by 269\/6 + 8\/48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = -3*y + 87. Solve -5*m + n = -n - y, n = 3*m - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/108 and -59\/8464.\nAnswer: 228528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**2 - v**2 + 2*v**2)*(0 - 2*v + 0) + 0*v**3 + 0*v**3 + v**3 - 13*v**3 - 8 + 8 + (-v**2 + 2*v**2 - 3*v**2)*(-6*v + 5*v - 2*v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 133.892 - -0.108. Let x = s - -5. Is x smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 68182438 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1762, -3525, -5288, -7051, -8814?\n\"Answer: -1763*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 489 less than 0.3?\nAnswer: -488.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-4) + (-13222)\/16. Let k = w + 825. Find the common denominator of k and 3*(-55)\/(-630)*(-9)\/1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3\/2 - 4*s**2 + 3*s\/2 + 1.\nAnswer: (s - 2)*(s - 1)*(3*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 71928996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 146, 1096, 3524, 8102, 15502, 26396, 41456?\n\"Answer: 112*f**3 + 67*f**2 - 35*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -26. Suppose 109 - h = -12*b. Let d(a) = a**3 + 6*a**2 - 6*a - 5. Give d(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07 * 0.1747\nAnswer: 0.012229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -141 + 123. What is the tens digit of (-7834)\/q - (-10)\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 229\/3 + -77. Let z = 197\/852 - -4\/213. Which is the second smallest value?  (a) -0.1  (b) z  (c) 6  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/2, -3, 6.2, -2.4, 0.032?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -924 divided by -33?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/163*(-4)\/(-10). Let p = -11384\/161 - -1848416\/26243. Let k = u - p. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 12*w - 3. Let p be q(-2). Let f be (36\/p)\/(2\/(-9)). Let k = 18 + f. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -5*t**2 - 247*t - 162. Let n be v(-48). Calculate the greatest common divisor of n and 1827.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-3) - 48\/(-18). Let n be 76\/40 + (-3)\/k. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(405) - (2 + sqrt(405) + 1 + sqrt(405))) + -2)**2.\nAnswer: -860 - 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 103206 + -4?\nAnswer: 103202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2827328 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4775 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -188, -201, -230, -281, -360, -473?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2986358295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1218 divided by -8\nAnswer: -609\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2943 to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) 3  (c) 48  (d) -34  (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -75084 * -59.\nAnswer: 4429956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 4 = 6*j. Suppose q = -r + 2, 4*q + 2 + 2 = j*r. Suppose 0 = -3*o + r*t + 95, -29 = -o + 2*t - 0*t. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 + 21. Let t(i) = 19*i - 652. Calculate n(t(q)).\nAnswer: 361*q**2 - 24776*q + 425125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -4913*p**2. Let w be x(1). Let d = w - -44171\/9. Find the common denominator of d and 3\/4*(-146)\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = k. Let s = 10.4 + -10. Which is the biggest value?  (a) k  (b) s  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-80)\/15)\/(-2)*3. Suppose 9*r = b*r + 21. Let p = 37 + -25. Calculate the remainder when r is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5143483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 3 = 12. Let t(s) = -6 + s**v + 0*s**3 - 2. Let l(p) = -3*p**3 + 23. Let i(y) = -4*l(y) - 11*t(y). Differentiate i(g) with respect to g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -6*z - 8. Let t be q(-2). Solve 4*i = 2*i + t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, j: 8}. What is prob of sequence xjx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 + h**2 + 2*h + 5. Let l be 7 - 2 - 3 - 8\/4. Let v be j(l). Let o(s) = -s**3 + 4*s**2 + 7*s - 2. What is o(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -123\/1150 and -59\/2433375.\nAnswer: 111935250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45574365 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1604 or 1605?\nAnswer: 1605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 1184?\nAnswer: -5\/1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1460 = -190*c - 4181 + 131 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 1\/2, 4\/9, 0, 2\/25, -1 in decreasing order.\nAnswer: 1\/2, 4\/9, 2\/25, 0, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(2\/15)\/(t*t**3*t*t)*(t\/(t\/t**2*t))**(1\/2) assuming t is positive.\nAnswer: t**(-161\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/17  (b) 1\/2  (c) 1.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 13031\/(-18840) + (-1)\/(-15). Let w = -9 + 14. What is the second smallest value in w, 0.2, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 891708837?\nAnswer: 3, 17, 773, 22619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*i - i - 2*i - 5*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11937 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 280 and 3290?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1948215 divided by -1948215\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + 6 + 7 - -3) + -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 60158036 by -15039509.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15.9*-0.2.\nAnswer: 3.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.6*-40.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5219.\nAnswer: 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**4 + 3*c**4 - 2*c**4)*(-3*c - 34*c - 57*c + (c + 3*c - 3*c)*(-4 + 5 + 0)).\nAnswer: -279*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 77358955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -2*j**5\/11 + 348*j**3\/11 - 160*j**2 - 2250*j\/11 + 18000\/11 = 0.\nAnswer: -15, -3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1126353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12152 divided by -2.\nAnswer: -6076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 944773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/2))**(2\/7)\/(q*q\/q**1)**(1\/15)*q*q\/(q**(-1)\/q*q*q*q)*q**(-1\/4)*q**2*q\/(q\/(q**(6\/11)*q)) assuming q is positive.\nAnswer: q**(20197\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-15)\/(-6))\/(2\/(-4)). Let t = -3 - k. Suppose -t*s = s - 12. What is the remainder when 15 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/3  (b) -3  (c) 23020\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, -1, 19?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 3. Let a = x - 3. Suppose -5*d + 2*s + s + 44 = 0, 5*s = d. Solve -5*u = -a + d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Suppose -h = 2*k - 90 - 1419, -5*h = 4*k - 7593. Calculate the greatest common factor of h and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 264237.\nAnswer: 3, 88079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1cc + 5a0?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*k = -95*k - 45*k + 1110. What is the least common multiple of k and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 520?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 3010941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 69589 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -4*h - 92, -918*h = -922*h + 7*w - 2*w + 160 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 4*x + 118. Let l = 113 + x. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 4, -2, -22, -62, -128, -226?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 683 a factor of 848841962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 135722 at most 135719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 91, 180, 347, 616, 1011?\nAnswer: 1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 983737507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 12.65349 times -0.3\nAnswer: -3.796047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5753887 and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 19, n: 1}. Give prob of picking 1 n and 2 l.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -26*n - 3866. Let w(o) = -19*o - 2901. Let y(i) = -8*d(i) + 11*w(i). Let j(b) = b**2. What is y(j(x))?\nAnswer: -x**2 - 983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4599916.834 rounded to the nearest one hundred?\nAnswer: -4599900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1672 and 14953741?\nAnswer: 119629928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 111\/6*8*1. Suppose -w + 3*w + d = z, 2*w - 154 = -4*d. Let y = -34 + w. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 412532 divided by 2?\nAnswer: 206266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2913 - 2169 = -22*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7171*0.08\nAnswer: -573.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -5755*g - 11656. What is u(-2)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3, 1\/4, -129, -6.5, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-2))**(1\/3))**(-45))**50 assuming f is positive.\nAnswer: f**1500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2 + 5*k + 2. Let w be g(-4). Let u be (-1 + 0)*(-4 - w). Solve -u = v - 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15356)\/1320 - (-6)\/45)*(1 + -5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 0.0026?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 378*n - 374*n - 45992. Is n a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1038 + -493. Suppose -t = -2*g + 1593. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -2, 15944, 7 in increasing order.\nAnswer: -6, -2, 7, 15944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14374 * -4.\nAnswer: -57496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.16 + -0.25. Let y = 31.05 + -31. Let k = f - y. Round k to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6253*o + 33 = -6242*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34173414 and 10494?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1781*j + 29031 + 8212 = 201*j - 18057 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/((sqrt(3) + sqrt(9)\/sqrt(3))*3) - (sqrt(45)*-5 + sqrt(45)*3))**2.\nAnswer: 6845\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -28*n + 318 - 430 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*-1*(sqrt(200) + 0) + ((sqrt(200) - (sqrt(200) + -1 + 1 - sqrt(200))) + sqrt(200))*-6)*1)**2.\nAnswer: 33800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -359*n - 5375 - 4677 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -128*w**2 - 8*w - 6. Let d(g) = -g**2 - g - 1. Calculate 8*d(k) - m(k).\nAnswer: 120*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -229\/3, 6\/19, 133.23?\nAnswer: 133.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 9 = 5*q. Find the common denominator of (-139)\/(-9)*q\/(-6) and -111\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, m: 4, b: 5, u: 3}. What is prob of picking 1 b and 2 g?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 9:36 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2802 and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 8:00 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-2 - -1 - 0 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 13 - -17c21?\nAnswer: 17c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 30. Let w be u\/35 - (-11)\/77. Let v = -0.3 - -0.2. What is the nearest to -3 in v, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 34*v**2 - 37*v**2 + 5 - 2*v to the form n*v + m + l*v**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 4*c**2 - 6*c - 2. Suppose 0 = 2*i - 9 - 1. Let r(k) = k**2 - 7*k + 5. Let f be r(i). What is the units digit of l(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 13*g**2 - 3*g. Let k(n) = n**2 - n. Determine 3*k(b) - q(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2736) + -1 + (sqrt(19) + sqrt(171))*-5)**2*1 - (-4 + sqrt(38)\/sqrt(2) + 3 + 1*sqrt(171))**2.\nAnswer: 24*sqrt(19) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 155\/301994 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1565*n - 1567*n - 3 = -3*g, 3*n = -2*g - 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + 0*a**2 + a**2)*(-2 - a + 2) - 746*a - 2*a**2 + 746*a + 5*a**3.\nAnswer: 6*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -59 divided by -45\nAnswer: 59\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1771\/6 - 989\/3. Calculate the common denominator of k and -137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1730 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: -279332 divided by -70\nAnswer: 139666\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 12:00 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57\/(-12) + 1\/4 + 102\/(-204).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/736 and (-117)\/276*34\/102.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r = -3*r - 2*u + 48, r + 12*r = -2*r + 69*u - 72*u + 219 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) 7  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.5, -2, -24, 117 in decreasing order.\nAnswer: 117, 1, 0.5, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - 48\/(-20) - 12\/30. Let g(i) = -i - 6. Let r be g(-9). Solve x = n - 4*n - r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/63?  (a) -5  (b) 0.4  (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5231 * -0.7.\nAnswer: 3661.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.99 + -0.01. Let d(o) = o - 6. Let i be d(4). Let h be 88\/(-32) - (0 + i). What is the second smallest value in -5, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from cqdcqqchqqcqqcqqq.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 0 - 0) + (835 - 836)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12416.36 micrometers in meters?\nAnswer: 0.01241636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 6*j + 6. Let o(s) = -11*s - 9. Calculate -7*i(x) - 3*o(x).\nAnswer: -9*x - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -0*s - 2*s + 22, 0 = 4*h - s + 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4590 = 3809*r - 3803*r. Calculate the highest common factor of 1360 and r.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 49, 1, -6 in decreasing order.\nAnswer: 49, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43 + 46. Let k(i) = -9*i + 3. Let a(z) = -3*z + 1. Calculate h*k(r) - 8*a(r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - x + 8 = 0, 0 = -8*x + 10*x - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 751, 1443, 2073, 2641?\n\"Answer: -31*t**2 + 785*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -201*z**2 - 3*z + 3. Let p be g(1). Let j = 418 + p. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18036 - -17338. Which is the biggest value?  (a) -3  (b) h  (c) 0.3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17 - 31*s + 17)*(459 + 93*s - 459 + (2*s - s + s)*(3 - 6 + 1))*(2 - 4 + 3) as i*s**2 + b + y*s and give i.\nAnswer: -2759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 223*m. Let j(r) = 8*r**2. What is o(j(c))?\nAnswer: 1784*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -16403637366098 and 0.08.\nAnswer: -16403637366097.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d**2 + 204*d - 1735. Give z(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 24532317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 1 = -7. Let a(h) = -h**3 + 11*h**2 - 9*h - 7. Calculate the least common multiple of a(10) and -8 + 22 + (q - 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 2\/3  (b) -3.1  (c) -2  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i*i**(1\/15)*i)*i)\/(((i*i**(2\/81))\/i)\/i) assuming i is positive.\nAnswer: i**(773\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 4  (b) 4\/3  (c) -4  (d) -0.38  (e) -2\/23  (f) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/46128 and -37\/65472.\nAnswer: 2029632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15978089.\nAnswer: 569, 28081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -302526 divided by -18\nAnswer: 16807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 - -29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 10 = -2*k, -4*x + 0*x - k = -22. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 415.918 kilograms to grams.\nAnswer: 415918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 8*k**2 + 2*k + 1. Suppose 4*c - 2*x + 13 = -c, c = -2*x + 7. Let w be g(c). Let b(t) = t + 2*t - 2*t - w*t - 2. Give b(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 38 - 31. Suppose -2*u + x = -u - a, -38 = -4*u - x. Let d be 3 + u + -4 + 1. Solve r = -4*j - d, 0*r = 5*j + 3*r + 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 169*v**2 + 32*v**2 + 292*v - 292*v. Let h(r) = -2*r**2. What is h(f(y))?\nAnswer: -80802*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58 - 30*d + 60 - 38.\nAnswer: -30*d + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 280833727 a multiple of 2115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 64956, 134518, 204082, 273648, 343216, 412786, 482358?\n\"Answer: i**2 + 69559*i - 4604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*a**3 + 1813199*a**2 - 80512*a - 173.\nAnswer: 18*a + 3626398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 + 23. Let s = -8 + j. Suppose -5*v = -3*r - 5, -2*v + 3 = 1. Solve s*p = -r*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 + 55*i**2 + 678*i - 2159. Give x(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 172 - 190. Is (-747)\/(-21) - 8\/(336\/z) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*i - 111*g + 98 = -115*g, -3*g + 34 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 + 5*f + 11. Give g(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*x**2 + 2316*x - 123*x - 33*x**2 - 2193*x - 28*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 244912.1ml in litres?\nAnswer: 244.9121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 612 = -2*a + 4*a - 4*m, 4*a = -4*m + 1212. Are a and 302 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -99*v*w**3 + 3799*v*w + v + w**3 - 233*w**2 + 175 wrt w.\nAnswer: -594*v*w + 6*w - 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -535*u + 501*u = -816. Solve -3*a - u = -5*h - 0*a, 18 = 3*h - 3*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -484538 + 484538.3199956. Let c = 0.32 - y. What is c rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 582 + -584.068. Let n = z - -0.198. Let d = n + 0.87. What is the third smallest value in -0.05, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*k - 74 - 82 = 0. Suppose 60 = k*s + 14*s. Let c(d) = 2*d**2 - 5*d - 4. Determine c(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -530, -181, 2152, 7459, 16730, 30955?\nAnswer: 51124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 16, -0.04, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 16303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92 and 101316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7644 times -0.14?\nAnswer: 0.107016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 4*v + 23. Let q be b(-5). Let p(f) be the second derivative of 0*f**2 + 2*f - 1\/25*f**5 + 0 - 1\/60*f**4 + 0*f**q. Factor p(j).\nAnswer: -j**2*(4*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1606 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14848.988 - -14881. Let a = u - 0.012. Let x = 31.9999983 - a. Round x to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 4*r**2 - 3*r + 4. Let q be ((3 - 6) + -1)\/1. Calculate the remainder when w(q) is divided by (11 + 1)\/(2 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 5*t + 68 = 0, 2*b = -t + 168 - 140. Calculate the lowest common multiple of b and 92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w. Let g be (9 + -5)*3\/12*2. Let l(h) = 45*h**g + 11*h - 11*h - 49*h**2. Determine z(l(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -355469355 times -1\nAnswer: 355469355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 53*u**2 + 17*u. Does 8 divide i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8785091699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, y: 1, w: 4}. Give prob of sequence ywiw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10747337402 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 5. Suppose -2*n - 5*b + 93 = 0, 5*n + 3*b - d*b - 273 = 0. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 12) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**3 - s**4 - s - 10*s**2 + 4*s**2 + s**3 + 637 - 3*s - 629 = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nddnn. What is prob of picking 2 n and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/(-20) - 162\/(-30). Let f(m) = -m**2 + 8*m - 8. Let u be f(6). Suppose u*b + 16 - 60 = 0. Solve -k - 2 = -w*a + b, -2*a - 4*k = -14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 5932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -132584865.4 to the nearest 1000000.\nAnswer: -133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 526 divide 16045104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 209510281 to the power of 1\/3, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**6*t\/t**0*t**4\/((t*t**(-6))\/t))\/(t**(-4\/5)\/(t**5\/t*t)*t\/t**(3\/2)*t*t*(t*t\/t**6)\/t*t*t*t) assuming t is positive.\nAnswer: t**(233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2942 is divided by 496.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -5*a + 9. Let c = 301 + -307. Let t(y) = -y + 1. Let p(h) = c*t(h) + l(h). Calculate p(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c + 375 + 370 + c + 383 - 1129. Let q(f) = -f - 6. Give q(w) + z(w).\nAnswer: -2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-1152)\/24)\/6*(-3)\/(-2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 650936 and 9764040.\nAnswer: 9764040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 2*q = -6 + 26, -41 = -4*y - 5*q. Let c = 5 + -2. Calculate the smallest common multiple of c and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 169\/464040 and -29\/15468.\nAnswer: 464040","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-12)*c**9 assuming c is positive.\nAnswer: c**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-98)\/(-42)*6\/84\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -8*t**3 - 4*t**2 + 7. Let b(c) = -19*c**3 - 3*c**2 + 4*c + 17. Let y(l) = l**3 - l**2 - l - 1. Let x(z) = b(z) + 4*y(z). Determine 11*a(r) - 6*x(r).\nAnswer: 2*r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(-15))\/((-2)\/(-10)). Suppose -3*b + 6 = -3. Suppose b*z - 5*i + 12 = 1, 4*z - i = 8. Solve 5*h - 2*u = o*u - 33, 0 = 5*h - z*u + 31 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + h. Suppose -4*l + 6 + 6 = h. Which is the closest to 1?  (a) 1  (b) l  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26 - 4700\/180)*1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**0)**(1\/5) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbwpfbf. What is prob of sequence bb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 572 - 355. Let y = p - 216.7. What is the nearest to 2\/29 in y, -1\/2, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23172?\nAnswer: 2, 3, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - 9. Let p = 144 + -144. What is the closest to p in o, -0.1, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 29*w**5 + 5*w**4 + 5*w**3 - 10*w - 3. Let f(h) = -h**5 - h**4 - h**3 + 2. Let u(z) = -5*f(z) - g(z). What is the second derivative of u(o) wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b**(-1\/8)*b*b)\/b*b)\/b*b*(b*b**(-1\/19))\/b assuming b is positive.\nAnswer: b**(429\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o - 2. Let v(d) = 12*d**2 - d + 3. Let h be v(-3). Suppose 0 = 10*b + 9*b - h. Calculate u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 + b + 3. Let g(t) = -t. Let w(a) = 3*g(a) - p(a). Let f(s) = 23*s**2 + 27*s + 10. Let i be f(-1). Give w(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 121*h*m**3 - 39951*h*m**2 + 9*m**5 - 6*m**4 wrt m?\nAnswer: 726*h + 540*m**2 - 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 + -7. Let p(t) = 4*t - 23. Let z be p(l). Is z*(-2 + 229 + -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 18\/101 and 59\/13448?\nAnswer: 1358248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4 - 5.4. Let t(r) = -r**2 + 2*r + 14. Let x be t(0). Suppose -x*o + 119 = 91. What is the nearest to o in j, 0.07, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.076457 to 2 dps.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(56\/(-16))*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 74, -6\/5, 6, -1 in decreasing order.\nAnswer: 74, 6, 5, -1, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2149*q - 2142*q - 4165. Suppose -15*d - 20*d + q = 0. What is the remainder when 112 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30023200 (base 5) to base 13.\nAnswer: 83599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, s: 4, m: 4, j: 1, g: 1}. Give prob of picking 1 g and 1 m.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine quarters of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 2*m = 26, o + 5*m = 2*o - 34. Let c(g) = 4*g**2 - 6*g - 11. Is c(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 2*k + 13 + 15, 0 = 2*x - 4*k + 48. Is 14 a factor of (-5)\/(((-6)\/x)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 527030 and 42.\nAnswer: 1581090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -274, 0, -6, 3 in decreasing order.\nAnswer: 3, 0, -6, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -445.0600614 take away 9?\nAnswer: -454.0600614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is 5965.313 nanograms in milligrams?\nAnswer: 0.005965313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -3*w**3 + 4*w + 0 - 1\/2*w**4 + 1\/2*w**5 + 2*w**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -237*n + 233*n + 428. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -8\/2865 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y + 147 - 154. Suppose r - t = y, 3*r - 1 = 7*r + t. Is r not equal to 2\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2*(-2)\/(-4)). Suppose 4*x - 20 = -x - 4*g, -4*g = 0. Let t = l + x. Let i(u) = -2*u**2 - u + 4. Give i(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - ((-13580)\/(-301))\/(-5))\/(4\/(-12)*3)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -141280\/1097 or -130?\nAnswer: -141280\/1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -82*m**3 + m**2 + 2*m + 1. Let s(n) = -n**3 - 3*n**2 - 3*n - 3. Let i be s(-2). Is z(i) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {t: 5, h: 1, r: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 452951\/7 - 64875. Let z = n + 15150\/91. Calculate the common denominator of z and 67\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 588 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0151 + 0.0448. Let l = f + -0.6643. What is l rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 8*c**4 + 27*c**3 + 1082*c**2 + 7458*c + 6410. Let j(b) = -3*b**4 + b**3 - 2*b**2 + 1. Let v(a) = -12*j(a) - 4*w(a). Factor v(y).\nAnswer: 4*(y - 53)*(y + 1)*(y + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 315 + 52?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g - 8. Let x be d(19). Let t = x - -123. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5555420331 + 14?\nAnswer: -5555420313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooxloollolojobl. What is prob of sequence lj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 206993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + m**2 + m - 1. Let u be l(2). Let o(r) be the third derivative of -r**4\/24 + r**3\/3 - 176*r**2. Determine o(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {n: 1, c: 5, t: 9, m: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 2*g + 1638. Let f be 2\/12 - g\/36. Let z = -2 - f. Calculate the remainder when z is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 135 = -0*q. Calculate the highest common divisor of 25 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.7082 + 5.7082. Which is the closest to 2\/3?  (a) -3  (b) -1\/4  (c) 8  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46407 is divided by 46072.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -64 + 174. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fiiiiifiiiiii. What is prob of picking 3 i?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1190 and 3910?\nAnswer: 27370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 154830 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 2*r + 24 = 2*m, -2*m + 2*r = -6. Suppose -18 = -3*v - m. Solve -1 = s - v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 52 - (22 + 0) - 5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.654365302 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -34, -37, -40?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-8) + 78\/72. Let x = -0.01 + 0.03. What is the third biggest value in n, x, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3 - -0.4. Let u = k - -0.2. Let l be (6\/(-3))\/(4\/(-8)). Sort 2, u, l in descending order.\nAnswer: l, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 38\/((-1)\/1 - -3). Let v = q + 1. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 2. Suppose n*d = 4*d. Which is the biggest value?  (a) d  (b) 3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5457524 minutes to microseconds.\nAnswer: 32745144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 256 = 3*t - 50. Calculate the remainder when t is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from xxfxaxxxuxngfafnua?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -4\/281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50, -150, -324, -578, -918, -1350?\nAnswer: -1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 288547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1067 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -0.5, -0.2, -1, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 26*w = -f - 21*w + 1 - 9, -6*w + 12 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rbbr when four letters picked without replacement from rrrbrbrrr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -5*q, 2 = -4*q - 2*w + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -322 - -326. Let i(f) = 25*f**2 + 7*f - 3. Let n(s) = -23*s**2 - 9*s + 2. Let u(w) = y*i(w) + 5*n(w). Factor u(p).\nAnswer: -(p + 1)*(15*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 178445469 to the nearest integer?\nAnswer: 13358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 595359481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 7\/4, -5, 2\/19, -16, 3, -0.3 in ascending order.\nAnswer: -16, -5, -0.3, 2\/19, 7\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1.00007. Round l to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161994 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51 - 48 - (-1 - -3 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*d = -33*d + 4*k + 95 + 37, -4 = -d + 5*k - 3*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161361305 is divided by 1176?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, k: 7}. Give prob of picking 2 k and 1 g.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 233 + 141 = 0. Let h = -6715\/18 + y. Let b = -8293\/6 + 1371. What is the common denominator of h and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 3)*(3*x - x - x) + 0 + 0 + 5*x - x - 1 + 1 + (2 - 2 + 2*x)*(-3 + 4 + 1).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-144)\/(-45))\/((-16)\/(-60)*(-3)\/2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*z**3 - 52*z**3 - 77*z**3 + 199*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.99 - -0.01. Let p = 1 - g. Let t = p + 0.1. What is the biggest value in 3, -0.1, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(304)*-2 - (2 + (sqrt(304) - sqrt(304)*-2))) + (-6*sqrt(190)\/sqrt(10) - (sqrt(19)*4 + -3)))*2)**2.\nAnswer: -240*sqrt(19) + 68404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/296  (b) -1\/5  (c) -16\/1105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1867289.\nAnswer: 293, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2002, -4001, -6000, -7999, -9998?\nAnswer: -11997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/2*3*6\/45.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 + 30. Let g = c - 10. Calculate the remainder when (-5600)\/600*24\/(-14) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5014 divided by -2507\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3480093 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-10))**21\/(s*s\/(s\/(s\/((s**(-1\/10)*s*s)\/s))))**(11\/4) assuming s is positive.\nAnswer: s**(-8521\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -11*v**3 + 5. Let m(k) = -45*k**3 + 21. Calculate -5*m(u) + 21*w(u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**5)**(-26) assuming v is positive.\nAnswer: v**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2404*k + 4808*k - 2434*k + 2.\nAnswer: -30*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32733814 to the nearest integer?\nAnswer: 5721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -156 (base 8) to base 2\nAnswer: -1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 3:05 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4633*m + 1179 - 47723 = -8901*m + 1898*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 14 = -2*x, 3*j - 88*x + 91*x = 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(7*42\/(-1029)). Let m(k) = -7*k - 21. Let y(s) = -10*s - 32. Calculate p*m(z) - 5*y(z).\nAnswer: z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 32347607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 77*b**2 + 54*b + 44. Let k be v(26). Round k to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -309 - -291. What is the common denominator of 2\/5*105\/m and 49\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -47 - -50. Let g be (m\/5)\/((-3)\/15). Which is smaller: -1\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -52146 equal to -52149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 7*u**2 + 7*u + 6. Let d be p(6). Let z = d - 7. Suppose z*m - 3*i - 250 = 0, 4*i - 250 = -5*m + i. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (20\/7)\/(10\/175). Let c = 1 + 19. What is the greatest common divisor of n and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25.222 + 25. Let l = y + 0.022. What is the smallest value in -0.04, -3, l, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2. Let b(c) = -2811*c**2 - 1487*c. Determine b(z(i)).\nAnswer: -11244*i**4 - 2974*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 7*h - 365. Suppose 5*o - h - 42 = 0. 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: What is the third derivative of 69*r**4*v**3 + 193*r**4*v**2 - 1196*r**2*v**3 + 42*r**2*v wrt r?\nAnswer: 1656*r*v**3 + 4632*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 4048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2*y**4 + 4*y**3 + 8*y**2 + 4*y - 6. Let d(i) = -i - 9*i**2 + 7 + 2*i - i - 5*i**3 - 5*i - 3*i**4. Let m(b) = 4*d(b) + 5*t(b). Solve m(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 163, 158, 147, 130, 107, 78, 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*b - 3*b - 50. Is 1\/1 + (b - -159) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4651, 9261, 13871, 18481, 23091?\nAnswer: 27701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 10:39 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 4, 2\/13, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 3.7\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7182 (base 9) to base 4.\nAnswer: -1102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100912, -201817, -302722?\nAnswer: -403627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**4 + 3*k**4 + 2*k**4 + (2*k**3 - 3*k**3 + 2*k**3)*(0*k + k + 0*k) to the form j*k**4 + q*k**2 + a*k + f*k**3 + d and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 + 3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 228\/7*k - 3249\/7 - 4\/7*k**2 = 0. Calculate k.\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1609, 1590, 1545, 1462, 1329?\n\"Answer: -2*b**3 - b**2 - 2*b + 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/4 - 76656*r - 5876142336.\nAnswer: -(r + 153312)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -26 + 26 - 37*h**2 + 0 + h**2 + 0 + 2*h**2 + 8*h - 8*h + (7 + 1 - 4)*(-2*h**2 - 4*h**2 + h**2).\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o and 1 z when four letters picked without replacement from {m: 1, j: 1, x: 1, o: 1, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {x: 2, o: 3, b: 1, e: 2, n: 4}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -g**4\/4 + 3*g**3 + 3. Let t be n(9). Suppose t*k - 2*k = 4. What is the second smallest value in 3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -115382.09056 to the nearest integer.\nAnswer: -115382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 44026129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1220 - 703. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32, 59, 90, 119, 140, 147, 134, 95?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 310 + -310.13. Let s = -0.03 - j. Put s, -0.09, 0 in decreasing order.\nAnswer: s, 0, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-135)\/(-2) - 12\/((-108)\/45). Let o = c + -99. Find the common denominator of -173\/42 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = 6*f + 2, 402*f + 22 = 404*f - 4*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z - 5. Let i be k(-9). Let r be (-192)\/(-9) - i\/(-6). Suppose 2*g - 230 = r. What is the highest common factor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p = p + 18, -3182 = 4*d + 3*p - 3116 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(833)*1 + -4 + sqrt(833)*2)**2 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4973 + -4971. Let c(v) be the second derivative of 0*v**3 - 1\/6*v**4 - 6*v + 0*v**o + 0. Let i(b) = b. Give i(c(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6206, -12410, -18614?\nAnswer: -24818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (5 - ((-2 - -2) + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -454 = -5*w - 2*q, -57 = -w + 2*q + 41. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22673.616 months in centuries?\nAnswer: 18.89468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-10\/11)*r)\/r)**(-40)*(r\/(r\/(r*r*((r*(r*r**40\/r)\/r)\/r)\/r*r)))**(-2\/15) assuming r is positive.\nAnswer: r**(5098\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8293 = 35*i - 17922. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 5*w + 2*w)*(1 + 0 - 6).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3505735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 2*z - 3*z - z + 2*z + 0*z + 0 + 0 + z + 2*z + 2 - 2 + (-1 - 2 + 1)*(0*z - z + 0*z) - 2*z - 2*z + 3*z - 7*z + z + 2*z)*(3 - 3 - 2).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 71*m + 7. Let c be -4 + (5 - 2) - 23. Let w = 28 + c. Is r(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-9) - 184\/18. Let s be 3*(p\/(-24) - (-10)\/40). Find u such that -113*u**2 + 42*u**3 - 8*u + 3*u**3 + 2*u + 110*u**s = 0.\nAnswer: -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.00734*-25.\nAnswer: -0.1835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 17 - 11 - 2\/(-2). Suppose j*l - 8*l + 16 = 0. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of 9\/2*b**6 - 75\/4*b**4 + 12*b - 33\/5*b**5 - 42*b**2 + 51*b**3 + 58. Suppose d(a) = 0. Calculate a.\nAnswer: -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + l - 4. What is c(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 31253.64t in kilograms?\nAnswer: 31253640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.7 + 4.3. Let q = -5.4 + h. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -79\/4072 or 0?\nAnswer: -79\/4072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.03333 and -3.\nAnswer: -0.09999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (1\/(-9))\/((-310)\/6330510)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence irf when three letters picked without replacement from azaaabzarfziaara?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -12, -4, 20, 66, 140, 248, 396, 590?\n\"Answer: x**3 + 2*x**2 - 5*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18426893 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124*n - 135*n - 1245*n + 2553*n.\nAnswer: 1049*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1096 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 3736213188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10977, 45567, 103215, 183921?\nAnswer: 287685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 h when three letters picked without replacement from {v: 1, h: 4, e: 9}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -199 - -1?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16908, -5, 6, -9 in decreasing order.\nAnswer: 6, -5, -9, -16908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.4 + 0.1. Let x = -3092 - -3072. Which is the nearest to 2\/9?  (a) z  (b) -3\/2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 + 3*l**2 + 0*l**2 + 9*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 3*a**2 + 4 + (-3*a**2 - 6*a**2 + 2*a**2)*(-3 - 2 + 7).\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 11) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of z**6\/20 + z**5\/120 + z**4\/24 - z**3\/2 + 4*z**2. Let r(w) be the first derivative of l(w). What is the units digit of r(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 42924 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) -2\/5  (c) 0.01  (d) -384\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/2, 7, -3\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 8 = u. What is the remainder when (-988)\/u + (15\/(-7))\/(-5) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*i**2 + 102*i**3 - 93*i**3 + 97*i**2 - 47*i**2.\nAnswer: 9*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.03 - -0.03. Let q(k) = -k**3 - 4*k**2 - 3*k - 1. Let f be q(-4). Let a be 3 + (f\/(-2) - -3). What is the second smallest value in 0, a, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + o + 795, -3*o + 23 - 8 = 0. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 205, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*(-65)\/(-80))\/((-234)\/312)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1196107 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g - 1. Let i(t) be the first derivative of -2*t**2 - 6*t + 12. Determine i(c) - 3*k(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.515147 kilograms in micrograms?\nAnswer: 515147000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -140638974 by 21.\nAnswer: -6697094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26 in 2\/7, 1, -97\/2, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-12))**(-3)\/(h*h*h**(-4)*h\/(h*h*h**(1\/2)\/h*h)) assuming h is positive.\nAnswer: h**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33616 and 5730?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = -8 + 74, -t + 552 = -0*t - 27*p + 192 - 232 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of -13*g**4\/24 + 4*g**2. Let s(o) be the first derivative of o**3\/3 - 22. Determine s(l(p)).\nAnswer: 169*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, l: 1, c: 4, r: 7, a: 1, q: 2}. What is prob of picking 1 q, 1 y, and 1 r?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27\/7 + 7*(-4)\/(-196)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -469 + 474. Solve -u - 5*f = -21, 4*u - 16 = 2*f - a*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 - 44*o**2 + 1024*o - 1840.\nAnswer: -4*(o - 10)*(o - 2)*(o + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b**(2\/3)))**(-22)*(b**2\/b)\/(b*b**(-4)\/b*b))\/((b**(-1\/2)*b)**2)**(-43) assuming b is positive.\nAnswer: b**(185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = 2*h + 24. Suppose 3 = -v - 1. Is h not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 1 = -5*j, -y - 5 = 2*j + 2*y. Suppose 3*o + j*o = 150. What is the smallest common multiple of 3 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1289 - -6.2659. Let s = -0.137 + i. Let z = -1.98 + -0.02. Does z = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7950 + -7948. Solve 17 = -y*f - 3*q + 35, -4*f = -3*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5294, 3, 2, -3 in decreasing order.\nAnswer: 3, 2, -3, -5294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -48*o + 1285. Calculate a(27).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*6*(((sqrt(84) + (sqrt(84) - (sqrt(84) - 2*sqrt(84)*1)))\/((sqrt(1200) - (sqrt(1200) + 1*sqrt(1200))) + sqrt(12)))**2 - 6*3*(sqrt(7) - sqrt(175)*-5)).\nAnswer: -2808*sqrt(7) + 14\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 2:15 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 13*m + 7. Let u be f(5). Let k = u - 506\/7. Let q = 3 - 2. What is the second smallest value in k, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -232 + 231. Let n be -12*(-1)\/9*q\/(-4). Let 5\/3*f + f**2 - n*f**3 + 2\/3 - 1\/3*f**4 = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 443877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 516 = 3*v, -2*v = 2*w + w - 339. Suppose 0 = v*h - 174*h + 270. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 375 - 364. Suppose -g*q = 139 - 1261. Calculate the greatest common divisor of q and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10590 is divided by 1000?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + b**2 + 3*b - 1. Let x(y) = -6*y**3 + 12*y**2 + 4*y. Let m(f) = -x(f) + 5*z(f). Factor m(u).\nAnswer: (u - 5)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 - g + 5. Let r be h(-2). Suppose -2*t - 12 = -3*w, -4*w + 0*t - 4 = 4*t. Solve 0 = 4*l + r*a + 12, 7*l = w*l - 5*a - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 145 + -149. Which is the third biggest value?  (a) y  (b) -0.5  (c) -766\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a. Let t(s) = -7*s**2 - 14. Give t(v(z)).\nAnswer: -7*z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17.005 - 6.751. Let g = -29 - -39.1. Let v = z - g. What is v rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllboblbpb. Give prob of sequence pbbo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54342711, 54342709, 54342707, 54342705, 54342703?\nAnswer: 54342701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/2  (b) 2  (c) -4  (d) 3118  (e) -8  (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 752 + -752. What is the nearest to 0 in 3, 2, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*((sqrt(77) + sqrt(77)*-2)*-3 - sqrt(77)))\/((sqrt(4536)*-2)\/sqrt(8)) + -2)*4.\nAnswer: -8 + 16*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c - 1. Let n(p) = p**2 - p - 2. Let k(i) = n(i) + 5*o(i). Let r be k(-3). Suppose 5*g - 54 = -t, 4*g + 3*t - r = 32. Is 8 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -139650, -558637, -1256938, -2234553, -3491482, -5027725?\nAnswer: -6843282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 10) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201778*v + 3*o = 201777*v - 144, 3*v + 1951 = -40*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**3 - 2*q. Let l be c(4). Let y(g) = -2*g**2 + 6*g + 5. Let z be y(8). Let s = z + l. What is the highest common divisor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:13 AM and 4:37 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/6)\/((-8)\/96). Let k(y) = -y**3 + 9*y**2 - 6*y - 7. Suppose 5*x = -f + 3*f + 56, -5*f = 15. Calculate the smallest common multiple of x and k(p).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 - 10*p**2 - p + 10. Suppose -4*h - 2*s = -36, -34 = -5*h + h - 3*s. Let v be q(h). Let n be 1\/2*(-3 - -9) - v. Solve 0 = n*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2473380 and 260.\nAnswer: 2473380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(20) - (sqrt(20) + sqrt(20)*-1)) - sqrt(2880)*1)\/((sqrt(308)\/(sqrt(44)\/sqrt(4)))\/(3*(sqrt(112) - sqrt(7)))).\nAnswer: -54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1057493 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -146, -164, -180, -194, -206, -216?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3337*t - 193. Let u(x) = 21*x**2. Calculate c(u(v)).\nAnswer: -70077*v**2 - 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o. Suppose -v + 0 - 4 = 0. Let y(i) = -i**3 - 4*i**2 + i + 3. Let b be y(v). Calculate s(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 + 35758*z + 464804. Determine t(-13).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 20 - (-3 + 12 - (5 + -1))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 235406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 136 + -1241\/10. What is the common denominator of j and (-10)\/(0 - 20)*116\/(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*x + 27381 = -295007. List the prime factors of x.\nAnswer: 2, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 187824 and 11868?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24*k + 141 + 3 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 9 = 3*g, -g = 3*m + 19 - 18. Suppose 176978 + 34854 = g*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2653, 2622, 2585, 2542, 2493, 2438?\nAnswer: 2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-10) - (-13)\/5. Suppose -5*x = -32 + 7. Suppose p = m + 4, x*p - 2 - 9 = -4*m. Solve -2*d = 2*y + 10, -c*d + 2*y + p + 7 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11540\/3852 + -3)\/((1496\/(-198))\/34).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -13941, 10\/3, -1\/4, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wrw when three letters picked without replacement from {w: 2, o: 1, y: 8, d: 2, r: 5}.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 118176795 to the nearest integer?\nAnswer: 10871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iizzzzzzzzizii. What is prob of sequence ii?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -221*y**2 - 63*y + 60. What is f(1)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -74bb15 (base 14) to base 13.\nAnswer: -a84360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9003344 by -4.\nAnswer: 2250836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -2*l**3 - 4*l**2 - l + 4. Let v(d) = -d - 6. Let m be v(-2). Is w(m) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of -5*o**4\/8 + 2*o**3\/3 - 6173*o**2. What is g(2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4301 by -207.\nAnswer: -187\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -33, -55, -85, -123?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + 5*v**2 - 5*v + 9. Let n be o(-6). Suppose 5*r = -25, -3*q - 5 = -n*r + 4*r. Let c(j) = 6*j + 96. What is the tens digit of c(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28515\/23600 + 18\/4*8\/(-30) and -95\/22.\nAnswer: 51920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-48 - -49)*(1 + 979). What is the highest common factor of 343 and h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of 0*n + 120*n**2 + 0 - 4\/15*n**6 + 0*n**4 + 0*n**3 + 107\/60*n**5. Find the third derivative of b(k) wrt k.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -72\/11, -4\/17, 3\/2, -21.2 in increasing order.\nAnswer: -21.2, -72\/11, -4\/17, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9926 or 218397\/22?\nAnswer: 218397\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001173 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of 2\/3*r**3 - 2*r**2 + 0 - r. Find the first derivative of g(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4314 - -4327. Let h = 7 - 4. Solve h*c - 4*c = 3*k + 14, 3*c - x = 2*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*j - 3*r = -13*j + 2, -18*j - 4*r - 14 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 179 - 176 - (0 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*w = -61816 + 62291 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**0)\/(a*(a\/a**(-3))\/a))\/((a\/a**(-5))\/((a*a\/a**6*a*a)\/a)) assuming a is positive.\nAnswer: a**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 107175\/(-50015) - (-69)\/(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/(-4))\/(8\/(-44)). Suppose t + 12 + 5 = -3*l, 2*t - 3*l - v = 0. Let b be (0 - 1) + 1 - 0. Put t, b, 5 in increasing order.\nAnswer: t, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**(-15))\/z**(-2\/17))\/(z**(-2)\/(z\/(z*z**(-1\/7)*z*z))))**(-6\/25) assuming z is positive.\nAnswer: z**(-2322\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 2 = -2*b. Suppose 5*x - x + 2*d = 86, -b*x = 4*d - 84. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/11382 and 40\/9?\nAnswer: 34146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 607 + -238. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1208669559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 5*q + 74, 4*q - 84 = -f + q. Suppose 46*j - 39 = f. Solve j*o + o - 3*m + 20 = 0, -2*o - 10 = -4*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 i, and 1 d when three letters picked without replacement from dirjs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1097, 1316, 1525, 1718, 1889, 2032?\n\"Answer: -y**3 + y**2 + 223*y + 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 3*g**2 + 3*g - 5*g - 4*g**2 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1543*z**5 - 639*z.\nAnswer: -30860*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 13) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6069*k**4 - 6*k**2 + 5*k + 32 wrt k.\nAnswer: 145656*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.6 and -514.58085 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 87.3, 233, 28, -4 in ascending order.\nAnswer: -4, 28, 87.3, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 + 13. Solve 0 = 4*f + y - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2*(2 - 1))\/((-22)\/33). Calculate the lowest common multiple of ((-15)\/(-20))\/(r\/(-72)) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53949054?\nAnswer: 2, 3, 271, 33179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 + -1.9. Let u = 2.08 + s. Let c be -6*((-59)\/84 - (-33)\/44). Do c and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3*p - 5. Let d(l) = 2*l + 3. Let v(b) = 3*a(b) + 7*d(b). Let c(h) = -9*h - 11. Let n(g) = 6*c(g) + 11*v(g). Let m(z) = -6*z**2. What is n(m(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 5*h + 656. Let z = 275 - h. Suppose -l + 0*l + z = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 10 + 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -137940, -275353, -412754, -550137, -687496, -824825?\n\"Answer: z**3 - 137420*z - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 445434966 to the nearest integer?\nAnswer: 21105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5651102 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of 4*n**3\/3 + 3*n + 8284. What is v(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 59, -84, -1, -5.\nAnswer: -84, -5, -3, -1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 15677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/63 - (8 + 15353\/(-1989))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5986, 5988, 5992, 5998, 6006, 6016?\n\"Answer: u**2 - u + 5986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*d**3 - 2*d**2 + 10*d**3 - 26*d**3 + 3*d in the form q*d**2 + g + h*d**3 + w*d and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -7*v**3 - 3*v**2 - 2*v - 2. Is z(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -76 + 80. Suppose -l*x + 122 + 450 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -446678, -448127, -449578, -451031, -452486?\nAnswer: -453943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12.4 - 22.4. Let r = k - -35. Let x = -104\/285 + -2\/57. Which is greater: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 4*d - 5 = 3*v, 20 = 4*d. Suppose 3*t = -v + 9. Let y = -4 + t. Is y < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - v = -3*v, -6 = 3*v. Suppose 92 + 4 = -z*w. Let f = -43 - w. Which is the closest to 0?  (a) f  (b) -0.2  (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 13, l: 3}. Give prob of picking 3 l.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1, -0.1, 0.2136, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q + 78*k - 77*k + 5, 0 = -q - 3*k - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 494*y - 4715. Determine j(9).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**21)**(3\/16)\/((x*x\/x**2)\/x)**(-32))**(2\/25) assuming x is positive.\nAnswer: x**(-449\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (30\/756*-6)\/25\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2982 - -2979. Sort 5\/6, -0.2, 5, 1\/9, q in decreasing order.\nAnswer: 5, 5\/6, 1\/9, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s + 1. Let k(z) = 140*z + 7. Let t(x) = -k(x) - 5*v(x). What is the units digit of t(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -19 and -1519441.1.\nAnswer: 28869380.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 224672977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -s**5\/20 + 3*s**4\/4 - 7*s**3\/6 - 3*s**2 + 97*s. Give m(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 205 - 2*y - 211 + y**3 - 4*y**2 + 0*y**3. Let p = 18 + -13. Give h(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.872963 tonnes?\nAnswer: 872963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.122422 - 5832\nAnswer: -5832.122422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 178627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 8:20 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**3\/4 + 88543*i**2\/4 + 1959655775*i\/4 - 13721929375\/4 = 0?\nAnswer: -44275, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1058672 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -4, -0.1492, -86?\nAnswer: -0.1492","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -9 + -1 - (-10 - -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - v - 4 = 0, 1 = 2*k + v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 295 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*-10*146\/73*(-2)\/30*9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 732, 2.58, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2002.196 years in millennia?\nAnswer: 2.002196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 21380740\/(-321)*3*-50. Round z to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -2*y + 2*l - 10, l - 3 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001100111001 (base 2) to base 13.\nAnswer: 4148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 80 = 9*d. Let y be d\/(-55) - (-80)\/198. What is the second biggest value in -2, y, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9042 - -9067. Let j = 0.01 - -0.09. Which is the third biggest value?  (a) -3  (b) k  (c) 4  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*j + 0*j - 2*j + (-21*j - 19*j + 4*j)*(3 - 1 + 1) + 0*j + j + j)*(0 - 4 + 8 + 7) in the form v*j + t and give v.\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 7857618, 7857619, 7857622, 7857627?\n\"Answer: o**2 - 2*o + 7857619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 - 8*b + 19. Let o = 970 - 965. Give v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 41658 + -8095. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, 10, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27 or -19?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*a + 3*y + 34, 0 = 4*a + 7030*y - 7028*y + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3366\/(-255)*410\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (152\/380)\/((20\/1750*10)\/(-14))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -4, -94\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 8*w - 30. Calculate q(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, -3, 32, 2\/7 in decreasing order.\nAnswer: 32, 2\/7, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1608975 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18*n - 42 - 30 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 225 and 780?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 0.6. Let x = -74 - -76. Which is the second smallest value?  (a) x  (b) l  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 9*p**2 + 7*p + 14. Suppose 1384 - 934 = 50*y. What is x(y)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-14))\/(26\/13)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 divided by -10?\nAnswer: -41\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 - 4*u**2 + 22*u + 98. Let v be t(-7). Is -0.6 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27659\/5 - -5533. Sort x, -2\/5, 0.1, 1 in descending order.\nAnswer: x, 1, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2405 is divided by 800?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46, -49, -62, -91, -142, -221, -334?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 429247.\nAnswer: 5\/429247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3c1 (base 16) to base 6.\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 270. Calculate the lowest common multiple of 16 and (-760)\/(-18) - (-3)\/k*-4.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1070 = 5*l - 1100, t = 3*l - 14. Solve 6 = -5*c + 11, -t*u = 3*c - 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - 0 - (2 + -7). Suppose -2*s = c + 2, 2*c + d = 4*c + s. Find the first derivative of -3 - 1 - 3*z**4 - 3*z**c wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4227 or -4749?\nAnswer: -4227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.219323868961 + 791?\nAnswer: 791.219323868961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (33\/99)\/((-1)\/(-30)*-2). Which is the closest to 4\/9?  (a) z  (b) 1\/3  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 114525, 114501, 114481, 114465, 114453?\nAnswer: 114445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*p**3 + 16025*p - 1440315 wrt p?\nAnswer: -30*p**2 + 16025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 38 - 724. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/6)\/((-10)\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15\/2)\/(-1)*-10. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -1. Suppose a - p = 3. Let r(t) = a*t**2 - 2*t**2 + 2*t**2. Let d(k) = k. What is d(r(y))?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 259 divide 29718272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 88320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t + 2. Calculate l(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*w = -11*w + 160. Let p be (-2 - 6\/5)\/(4\/w). Let m(c) = -c + 16. Let v be m(0). What is the highest common factor of v and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23701, -73379, -149033, -250663, -378269, -531851, -711409?\nAnswer: -916943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396)*-1*6 + sqrt(396) + (sqrt(396) - sqrt(396)*1*-2 - sqrt(396)))\/(6*(sqrt(484) + sqrt(484)*1)*4).\nAnswer: -3*sqrt(11)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 207.1 + 31.\nAnswer: 238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 51  (b) 61  (c) -120\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -10*d**3 + d**2 + 16*d + 28. Let f be v(-2). What is the greatest common factor of f and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -56504956*l*m**3 - 2*l*m**2 + 1987*l - 587*m**2 - m - 3 wrt m?\nAnswer: -339029736*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1047 + 2299. What are the prime factors of u?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aad when three letters picked without replacement from daaaaadadaaaaaa.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1456 and 312.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -3*k. Let n(x) = 1 - 12*x + 0 - 6*x - 2*x. Let r(q) = -3*n(q) + 21*s(q). Is 11 a factor of r(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000011111100 - -10111001111?\nAnswer: 10011011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 30670513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0\/(3 + -2))\/1. Suppose -2*u + 2*i = -3*u, -2*u + i + 5 = z. Let g(p) = -1 + 1 - 2*p**2 + 5*p + p**u. What is g(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + 999*p - 16698. Let d be g(17). Let u(r) be the second derivative of -r**5\/20 - 5*r**4\/12 - r**3 - 2*r. Give u(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 + 0 = 5*v + j, v - 11 = 5*j. Suppose -s + 19 = m, 5*s - 2*m - 95 = -v*m. Calculate the highest common divisor of 513 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 0*b = -54. What is the tens digit of (-25)\/(-2) - b\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -498 * -21076.\nAnswer: 10495848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a - 3. Let u be r(5). Is ((-32)\/(-2))\/(u - 1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -163\/507 - 2\/169. Suppose -2*x + 4 = -x. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i**3 - 10*i**2 - 14*i + 16. Let o be f(6). Put 5, 3, -2, o in descending order.\nAnswer: 5, o, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 5, s: 1, u: 12}. What is prob of picking 1 s and 3 u?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45 - 43. Let r be (-52)\/(-8)*(v - -12). Suppose -2*c = -0*n + n - 111, -3*c = -n + r. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 14) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 57*j**2 + 37*j + 1. Is x(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 580*n + 480. What are the prime factors of v(4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6241, 12526, 18811?\nAnswer: 25096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -5*n**2 - n - 57. Let k(o) = 2*o**2 + 19. Give -11*k(w) - 4*q(w).\nAnswer: -2*w**2 + 4*w + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 271547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 - -21. What is the tens digit of 2 + 1 + 77 - l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 0 - 7 - 258*a + 253*a + 1 + 4. Suppose -2*y = -2*x + 6, -4*x = -5*y - 2*x. Give p(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*g**3 + 2*g**2 + 488460*g - 2925264 wrt g?\nAnswer: 9*g**2 + 4*g + 488460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.96947 litres in millilitres?\nAnswer: 93969.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2241249 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 291 = -0*j + 3*j. Suppose 4*c - 6*c + j = -5*p, -p = 3. Suppose 4*d - 23 - c = 0. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29050 is divided by 4841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h**3 - 4*h**3 - 25*h**3)*(h + 0*h + 3*h).\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 219*p + 1514. Is 17 a factor of x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ryrq when four letters picked without replacement from {r: 5, q: 1, n: 3, y: 1, h: 2}.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(-1)\/r)*r**(-2\/5)*(r\/r**4)\/r**(-7))\/(r**(2\/7)*r\/r**(-7)*r**(-1\/3)\/(r*r*r*r**(-2)*r*r)) assuming r is positive.\nAnswer: r**(173\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 3*c + 54, 3*c - 102 = 4*o - 0*c. Let l be -1 - -2*(-15)\/o. Factor -5\/4*z**2 - 1 - l*z**3 - 2*z.\nAnswer: -(z + 1)*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -17. Suppose 6*y - y = -w, -4*y - 1 = -3*o. Let f = o - -4. Calculate the greatest common factor of f and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 - 2. Give j(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2124 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.08 + 0.32. Let x = -36.24 + f. Let g = -36.00000027 - x. What is g rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2*d + 1 - 3)*(-56*d - 359 + 359)*(-d + 4*d - 2*d) + (-2*d**3 + 4*d**3 - d**3)*(-2 - 3 - 1) to the form s*d**3 + v + m*d**2 + c*d and give s.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -47*w**2 + 90. Let u(a) = -2*a + 6. Let x(c) = 1. Let r(b) = u(b) - 6*x(b). What is p(r(t))?\nAnswer: 188*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19\/(-21) - (6 + (-39)\/7)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176)\/(6*sqrt(24)\/sqrt(3)))\/(sqrt(22)\/(2*sqrt(11) - sqrt(11))*5).\nAnswer: sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -13. Suppose 0 = 3*n - w - 13, n - 8 = s*n + 5*w. Let x(a) = -2*a**3 - 3*a**2 - 2. Let d(c) = -2*c**3 - 2*c**2 - 2. What is n*d(v) - 2*x(v)?\nAnswer: -2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 10 = -2*n + 11 - 0, 5*q + 5 = 4*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -3942\/30337 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/4, -2\/5, -9\/7, 3, 7 in descending order.\nAnswer: 7, 3, 0, -1\/4, -2\/5, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -1. Suppose o = 3*h - 6*h. Is 35*(2 + (h - 1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4054, 5250, 6446, 7642, 8838, 10034?\nAnswer: 11230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11073, -22137, -33205, -44277?\nAnswer: -55353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*l = -1134 - 476 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2591*j + 29281 = -170226 for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(156)*2 + -6*(sqrt(156) - (sqrt(156) - (sqrt(156) + (sqrt(156) - 1*sqrt(156))))))\/((1*sqrt(588) + sqrt(588) + sqrt(588))*-5).\nAnswer: 8*sqrt(13)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -88, -187, -326, -505?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o - 35. Let t be a(-19). Suppose -t*m - 4*k = -m + 30, 0 = -2*m + k - 5. Let g(w) = w**3 + 5*w**2 - 2*w - 5. Determine g(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -281306\nAnswer: 1\/140653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27685\/6 + 4603. What is the common denominator of 1\/57 and n?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 324.36?  (a) 3  (b) -1\/6  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3106.8 - -3108. Let j = 75 - 451\/6. Which is the fourth smallest value?  (a) j  (b) -0.5  (c) t  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15\/(-90) - 986400003\/(-18). Round w to the nearest 1000000.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25446479?\nAnswer: 25446479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -4, 921, -5, -0.5 in decreasing order.\nAnswer: 921, 1, 0, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 25*j**2 + 30*j + 13. Let f(w) = -6*w**2 - 7*w - 3. Let q(s) = -9*f(s) - 2*i(s). Calculate q(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 4*g - 4*g)*(1 - 2 + 4)*(g**2 - g**3 - g**2)*(-g - 4*g + 4*g).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (447*q + 319*q**2 - 447*q)*(21*q - 9*q - 5 + 32*q + 2 + 2).\nAnswer: 14036*q**3 - 319*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 71?  (a) -2  (b) -0.3  (c) -164  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 275 is divided by 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 20*o**2 - 20*o + 58. Let a be r(13). Suppose -8 = 2*k, -4*u + 5*k = -a + 534. Does 40 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 4*y - 78. Suppose -5*b = 2*r - 14, -45*r = -43*r - 4. Suppose 2*k + b*k + y = 0. Put k, 2\/3, -2 in descending order.\nAnswer: 2\/3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011100011011 (base 2) to base 5.\nAnswer: -142130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -540*s - 169 = -2329 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 211, 421, 631, 841?\n\"Answer: 210*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 16*r**2 - 17*r + 17. Let c be (-196)\/6 - 30\/(-45). Let i = 15 + c. What is the tens digit of m(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dgtd when four letters picked without replacement from {t: 4, d: 2, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*14693449.\nAnswer: -1469344.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of 1\/336*q**8 + 0*q + 0 - 7*q**2 + 2\/15*q**5 + 0*q**7 + 0*q**3 + 0*q**6 + 0*q**4. Find the third derivative of j(h) wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -242.9 - -196. What is x rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120962048783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -893903\/24 + 37246. Let r(s) be the second derivative of a*s**4 - 2*s**2 + 1\/6*s**3 - 23*s + 0. Factor r(c).\nAnswer: (c - 2)*(c + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 10*h**2 + 7*h - 7. Let j(o) = 18*o**2 + 14*o - 12. Let g(y) = -6*j(y) + 11*w(y). What is g(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 148.8 + -15.8. Let i = w + -144.2. Let k = 6.2 + i. What is the second biggest value in 5\/2, k, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from ffnwnofwfownwowpnnwo.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2949853 is divided by 176.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 219 and 52373631?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 542979?\nAnswer: 3, 60331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tr when two letters picked without replacement from rvgxtvk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3 + -7 + 3 + 853.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 5*c**2 + 4*c. Let y(q) = -q**3 - 12*q**2 - 6*q. Determine 15*p(d) + 6*y(d).\nAnswer: -6*d**3 + 3*d**2 + 24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1328 + 1472. Calculate the greatest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from twwwwwwwttw. What is prob of picking 1 t and 2 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 11, t: 2, z: 1}. Give prob of picking 4 f.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 638183.9 seconds?\nAnswer: 638183900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 33\/(-1)*6\/18. Let r = 40 + -20. Let m = d + r. What is the greatest common factor of m and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*f**3 + 186146*f**2 - f**3 + f**3 - 186146*f**2.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-243)\/54*35824\/(-36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(2*sqrt(2673)*-2 + sqrt(2673)))\/((5*(sqrt(96) - sqrt(6) - sqrt(6)))\/((sqrt(126) - sqrt(14))\/sqrt(7) - sqrt(2))).\nAnswer: -27*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -11002101 (base 5) to base 3\nAnswer: -11202222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*s = -23*s - 735. What is the fourth biggest value in 0.4, s, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8250 - 8250. Let a = -1.5 - -1. Sort a, 0.3, 3, h.\nAnswer: a, h, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3870260 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*u - 70263*u**2 + 5*u.\nAnswer: -70263*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, h: 5, k: 7, q: 2, s: 4}. Give prob of picking 1 s, 2 k, and 1 q.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -100065026 rounded to the nearest 100000?\nAnswer: -100100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000074 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 88 in 1\/4, -0.5, -13, -6.44?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2166684 = -508*w + 14688756. Is w a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2565 is divided by 309.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 12128 (base 10) in base 6?\nAnswer: 132052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -4*w**4 - 877144*w**3 - 48087226932*w**2 - 96171822448*w - 48085472656 = 0.\nAnswer: -109642, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 1 = -3*a, 24 = -4*m + 4. What is the highest common divisor of a and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(3240) + sqrt(3240))\/(1*sqrt(72)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**3 + b**3 + 8*b**3)*(58*b - 7*b - 3*b**2 - 6*b).\nAnswer: -27*b**5 + 405*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -947 - 5*o - 1017 + 1967.\nAnswer: -5*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -731650*n + 38 = -9*y - 731651*n, 0 = -2*y + 3*n - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 0)*(1 - 1 - 2)*(-3*k + 4*k - 3*k + k - 2*k + 2*k + (-2*k + k + 3*k)*(-2 - 1 + 1))*(2*k**4 + 4*k**4 + 10*k**4).\nAnswer: 160*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 + 88*w**2 + 315*w + 101. Is v(61) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - 3*b + b)*(0*b**3 + 4*b**3 - 2*b**3) + (b**3 + 2*b**3 - b**3)*(-2 - b + 2) - 2*b**4 - 2*b**4 + b**4 - 5*b**4 - 2*b**4 + 2*b**4.\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -239*k + 598*k + 459*k + 272*k - 161*k as h + m*k and give m.\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, 82 in decreasing order.\nAnswer: 82, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 172 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**4 - 80*u**3 + 68*u**2 + 152*u.\nAnswer: 4*u*(u - 19)*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1805.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -25*l + 13. Let q = 138 + -132. Let n(z) = -12*z + 6. What is q*s(b) - 13*n(b)?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 226 is divided by 31?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22 - -80. Let f = p - 5. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11131210 (base 5) to base 2\nAnswer: 11000001001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 + 5*b**2 - 8*b - 3. Suppose -11*x + 168 = 16*x - 19*x. What is the remainder when x is divided by f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3075299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -1355*y**2 + 0 + 1352*y**2 + 0. Suppose 5*h + 4*d = 14, 4*d + 2 = 2*h + h. Let g(k) = 4 - 4 - h*k**2. Determine v(g(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = o + 8, 36 = 3*o - w + 3*w. Put 2, 3, o, 1\/6, -5 in descending order.\nAnswer: o, 3, 2, 1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32108, -64218, -96328, -128438, -160548, -192658?\nAnswer: -224768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, c: 2, y: 1, v: 2, h: 1}. What is prob of sequence vh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - 400314?\nAnswer: -400322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12252 (base 7) to base 2.\nAnswer: -110010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2605254433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 670 divided by 27\nAnswer: 670\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1052740810.123+-0.6\nAnswer: -1052740810.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j**(-2)*j)**30)**(-1\/12) assuming j is positive.\nAnswer: j**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-2 - (-1 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 274929656 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -379 + 299. Suppose 0 = -0*g - 4*g - 3*p + 1826, -5*p + s = 0. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 807 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 37314\nAnswer: -74628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 4*p**2 - 2*p + 2. Let l be s(3). Suppose -n + 0*z = -z + 6, l*n + 2*z + 16 = 0. Let i(t) = t + 4. Calculate i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.34 times 0.14\nAnswer: -0.0476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - (-2 + 2\/(-2)). Suppose 7*l = g*l + 12. Suppose -m - l = -0*m. Put -3, m, 4 in decreasing order.\nAnswer: 4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - 18\/(-1 + -2). Suppose -112 = -a*f - f. What is the greatest common divisor of 126 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1738052 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**4\/13 + 1640888*v**3\/13 - 25889047304*v**2 - 2692539682752*v\/13 - 5385131874432\/13 = 0. Calculate v.\nAnswer: -4, 410226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 - -10. Let s be -1 - (d + (-13215)\/18). Let h = s - 741. What is the common denominator of h and -81\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6954450*j**3 - 14145346.\nAnswer: 20863350*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nhhn when four letters picked without replacement from nhnhdndnnnnhhhnhnh.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + 17 + 5. Suppose -3*v - 1 = -2*i, 0*v - 4*i + n = -3*v. Suppose v*p - 242 = p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254.26235 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 1:23 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 3, -3, 0, 2, 1378 in ascending order.\nAnswer: -3, 0, 2, 3, 16, 1378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 2. Let i be j(0). Let v(f) = -f**3 + 3*f**2 + 2*f - 2. Let u be v(i). Solve a = 2, -u*b + a - 10 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*g**6 - 703 + 703 - 6*g**2 wrt g.\nAnswer: 720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120 - 111220212212222?\nAnswer: -111220212212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1636 - -2028. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-3))\/((-15)\/(-9)*(-8)\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-44) - 0 - 13\/(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 339915 and 24123.\nAnswer: 3739065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2975 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - 19*x**2 + 2*x + 19. Let a = 4769 + -4750. Calculate f(a).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00492726569 to 5 decimal places.\nAnswer: 0.00493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + 5*x + 6. Let o be a(-4). Suppose 0 = -63*g + 78*g. Solve o*c + 10 = -g*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 2*z = -4. Put 0, 4, z in descending order.\nAnswer: 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-1\/3))**47)**(-2)\/((w**6\/w**(-2))\/(w\/(w**(-1\/2)*w*w)*w*w**(-2\/3))) assuming w is positive.\nAnswer: w**(139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8272*s**2 + 4110*s**2 + 3966*s**2 + 1 - 138*s + 3 - 54*s.\nAnswer: -4*(s + 1)*(49*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -235603\/4 or -58900?\nAnswer: -58900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 5*w - 18 = 0, 2 = -t - 333530*w + 333529*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10a6a (base 11) to base 2.\nAnswer: -11111000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38.93 + 0.07. Let h = j - 39.92. Let d = 0.08 - h. What is the nearest to 0 in d, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7\/2380680 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -28489*f**2*o**2 + 703*f**2*o - 2*o - 10 wrt o.\nAnswer: -56978*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -g + 2*j + 279, 4*g - 1056 = 4*j. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**4*i + 310430*c**3*i**3 - 2*c**2*i**3 + 2*c**2*i + 148*c*i**2 - 7*c - 8*i wrt c?\nAnswer: 48*c*i + 1862580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*d, -4*c = c - 5*d - 5. Solve -14 + 4 = -c*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -5.5. Let h = 0.5000005 - p. What is h rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -4*p + 4. Let k = 6 - 7. Let l = k - -7. Let z(r) = -r + l - 4*r + 3 - 4. Calculate -6*c(a) + 5*z(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*t**3\/7 + 26016*t**2\/7 + 277521*t\/7 - 115170\/7 = 0. Calculate t.\nAnswer: -11, 2\/5, 1745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + -1827?\nAnswer: -1831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -5*o + 5 - 6*o**2 - o**3 + 5*o + 2*o. Let g be 9 + -14 + 8 + -9. Determine n(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 3*j - 705. Let v = 984\/7 + j. Let u = 4.142 - 0.142. Which is the third biggest value?  (a) u  (b) v  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -6803*m**5\/20 - 4007*m**4\/12 + 4701*m. What is the third derivative of a(v) wrt v?\nAnswer: -40818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v. Let u(j) = 0 + 13 - j**2 - 46*j - 2 - j**2. Let f be u(-23). Let k(r) = f*r + r - 15*r. Give k(o(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 7*x + 8. Suppose 0 = 6*b - 28*b - 22. Let n(i) = i - 1. What is b*j(o) - 6*n(o)?\nAnswer: o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 1.5, -4\/5, 21, 5, -2\/9 in decreasing order.\nAnswer: 21, 5, 1.5, -2\/9, -4\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 10. Let g = 4.8 - s. Let u = -11 + 7. Sort g, -1, u in increasing order.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*g = -2619 + 370511. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 12 = 2*r, 18 + 6 = 2*c - 5*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 117\/6*(-2)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 175\/738719 or 1\/3?\nAnswer: 175\/738719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, v: 2, m: 1, x: 3, j: 3}. Give prob of sequence jjj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 163 and 16463.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3057 or 3058?\nAnswer: 3058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -6. Let k be -3 + 4 - 1 - 0. Sort x, k, -3 in increasing order.\nAnswer: -3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**3 - 21*r**2 + 13*r + 30. Let a be v(-11). Let k be -1*(0 - 1) - 1. Let i be (4 - k)*(-6)\/(-8). Solve 3*j - 12 = 0, c = 6*c - i*j - a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - -25434?\nAnswer: 25432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 28114534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is 3874089584 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y - 21. Suppose 3*m + 6 = -0*m. Let w = -11 - m. Let p be o(w). Let r(h) = -h**2 + 3. Determine r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 6 - (13 + -13). Find the second derivative of -8*t**4 - 7*t - l*t + 5*t wrt t.\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3389 is divided by 102?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -74*y**2 + 191*y - 80. What is b(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 20 + 47a3619?\nAnswer: 47a3639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -4. Let z be 9\/l*(-2)\/18. Which is the third smallest value?  (a) -2  (b) z  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(490))\/(sqrt(5)*-1*6).\nAnswer: -7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-70)\/(-5)*14\/(-2). Let l = 55 - p. Suppose -5*r = -5, 0*f + r + 16 = f. What is the greatest common factor of l and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184 = -5*p - 2*i + 48, 4*p - 184 = -2*i. Let l be (((-52)\/12)\/13)\/((-2)\/p). Solve -4*k = -4*y - 4, l = 2*y + k - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -24142 + 2?\nAnswer: -24140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 7:02 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 822025246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**2 + 3*x**2 - x**2 + 104*x**3.\nAnswer: 104*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/26*(10 + (-1 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 98272 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 (base 14) in base 3?\nAnswer: 112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48537 is divided by 540.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + k + 0 - 3 = 0, u - 4*k = -12. Suppose 0 = -4*c - u*c - 24. Let f = 16 + c. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13303824.2 rounded to the nearest one hundred thousand?\nAnswer: -13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -71 less than or equal to -14\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 753\/65 - 200\/13. Let i(b) = -b**2 - b + 27. Let l be i(-8). Let s = -262\/9 - l. Find the common denominator of z and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1\/424 - -24595\/1272. Calculate the common denominator of 58\/45 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 15*v**2. Let b(o) = -8*o**2 + 20*o**2 + 0*o**2 - 10*o**2. Give z(b(m)).\nAnswer: 60*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 558 + 57 = 41*v. Suppose -v*r + 10199 - 2054 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k - 1. Let w(c) = c - 7. Let m(r) = 2*p(r) - w(r). Let t = 5 + 2. Let s be m(t). Solve 5*y + 3*b = 1 - 7, -3*y + b - s = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2062430 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 15\/(3 + 0) + 0. Suppose g - 11 = v + o*g, v + 5*g + 13 = 0. Let h = 9 + v. Solve -f + 3*c - 4 = f, 3*f + 5*c = -h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 569793200 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 + 21*s**2 + 3*s - 7. Does 47 divide l(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t**2 - 9*t + 9. Let u(k) = k**2 + 4*k - 4. Let d(q) = 7*u(q) + 3*z(q). Let n(a) = -2*a**2 - 5*a + 5. Calculate -5*d(x) - n(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 15*a**2 - 2*a + 16. Let b be t(15). Let r be 9\/(-21) + (51528\/b - 2). Let v = -88459\/24 - r. Find the common denominator of 41\/12 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/12)\/(2 - (-2)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8826 not equal to 8829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12717785 and 314?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 86086\/(-2499805)*(-5)\/13?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15081 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -16*w - 7. Let r(d) = -d**3 + 4*d**2 - 3*d + 4. Let o be r(4). Calculate the remainder when f(o) is divided by 2 - (-244)\/8 - (-21)\/(-126)*9.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13176111 to the nearest integer?\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3473d - 5?\nAnswer: -34744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1241, 2435, 3579, 4673, 5717?\nAnswer: 6711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -37806.793928 + 37504.79392663. Let h = -302 - w. What is h rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1313 and 1343906.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of -11*g**4\/12 - 5*g. Let q(o) be the first derivative of 2*o**3\/3 - 9. Calculate q(b(w)).\nAnswer: 242*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z - 24. Let s be m(29). Let x(n) = -7*n - 12. Let g be x(-2). Solve y - 6*y - b - 30 = 0, -b + s = -g*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2239451, 2239452, 2239453, 2239454, 2239455?\n\"Answer: f + 2239450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1392 divided by 4.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -50 + 50 + 4*t. Let o(w) = -3*w - 3. Give o(z(s)).\nAnswer: -12*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - -3. Let f be -149 + -1 + 1\/(-1). Let p = f + 158. Solve p*g + 4 = r*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264261 - 132.06489?\nAnswer: 264128.93511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -5*d**3 - d**2 - 2*d - 1. Calculate q(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 AM and 10:44 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 AM and 4:54 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8352 and 144?\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*c - 16*c + 45*c = 87804. Calculate the remainder when c is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 121051303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2 + 964275*d + 964278.\nAnswer: -3*(d - 321426)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36 + (-9282)\/(-1173) + -44?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tht when three letters picked without replacement from {i: 1, h: 1, t: 11, g: 2}?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1834782 or -1834768?\nAnswer: -1834768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 40\/(-36))*2203. Let h = -245 + i. What is the second smallest value in -6\/5, -3, h?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -388 by 11684.\nAnswer: -97\/2921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2136783 is divided by 1486?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1620)*-2 - sqrt(45))\/(sqrt(45)\/(-2*sqrt(5))) + 0)**2.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5\/2)\/(3\/6). Let l = -4 - 10. Let j be l\/3 - 5\/15. Put j, -1, m in increasing order.\nAnswer: j, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1646639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1096 and 168.\nAnswer: 23016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + t - 1. Let d(a) = -a**2 + 8*a - 9. Calculate the remainder when d(6) is divided by p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 - 5*p + 4. Let t be m(4). Suppose t = -3*b + b - 2*j + 74, 3*j + 9 = 0. Suppose 2*a = -o + 16, 2*o - b = -o - 4*a. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 1)*(16*x**3 + 5*x**3 + 9*x**3).\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*v + 105 = -4*b - 19, 8*v - 6*v = -4*b + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-c + c - 2*c)*(-7 + 4 + 1) - 2*c + 0*c + 5*c)*(-6*c**3 + 4*c**3 + 4*c**3).\nAnswer: 14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -976, -1835, -2682, -3511, -4316, -5091, -5830?\n\"Answer: v**3 - 866*v - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-404)\/(-14))\/(186\/(-651)). Which is smaller: -108 or m?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 112608175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 395917 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 3*g + 63 = 0, 5*j + 21 - 126 = -5*g. Suppose -4*f + 0*f + 32 = 0. Calculate the remainder when j is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != -82.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (134 - 51) + -68 + (-70 - 1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m*m**(2\/3)*m*m*m)\/m)*m)**13 assuming m is positive.\nAnswer: m**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 2*z**3\/5 + 982*z**2\/5 + 3904*z\/5 + 3896\/5 = 0.\nAnswer: -487, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 89 = 55. Suppose -1 - 9 = 2*j - 2*z, 2*j + 3*z = -10. Let s = m - j. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/6, 27\/2, 6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + g**2 + 2*g. Let v be p(2). Suppose v = 7*k + 537 - 145. Let r = k - -75. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 411 and 0.3.\nAnswer: 411.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51, -106, -161?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2506 by -358.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(1100)*2*-5)\/(2*(1*(sqrt(36) - sqrt(4)) + (sqrt(576) - sqrt(576)*2))).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -12aa (base 16) to base 13\nAnswer: -2237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 126*j = -4*j - 1677 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 12:52 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 9:05 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + 31*g - 224. Let n be a(12). Let y(k) = 38*k - 119. Let j be y(n). Sort j, -5, 2, 1 in ascending order.\nAnswer: -5, 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-390 - 75 - 714 - 213)*((-2*v - 3*v + 4*v)*(0 + 4 - 2) + (9 - 2 + 6)*(0*v - 3*v + 4*v)).\nAnswer: -15312*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 90340657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -1 - (-32 + 37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n**5 - 4*n + n + 0*n + 6*n wrt n.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7373.\nAnswer: 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 861 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 348, 0.8, -8, -0.5 in descending order.\nAnswer: 348, 0.8, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 350680 and 1179560?\nAnswer: 12975160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3359982 and 8301132?\nAnswer: 141119244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.8 and -1505676?\nAnswer: 1505676.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -301111301 - 12?\nAnswer: -301111313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 + 4 = -13*u. Solve 57*h - 56*h + u = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2706*l - 51554. Give g(-19).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of 6*h**3 + 6345. Let b(u) = 2*u - 39. Determine b(r(t)).\nAnswer: 36*t**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*p**3 + 96*p - 158.\nAnswer: 6*p**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 7*h**2 - 7*h + 1. Calculate m(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 - 9*a - 16. Calculate d(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -205373, -1642906, -5544771, -13143134, -25670161, -44358018?\n\"Answer: -205361*i**3 - 6*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-36)\/33*(-3)\/((-48)\/(-88)). Solve s*c - 23 = -47 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 2*b - 3 - 18, 2*b + 6 = 0. Solve 4*w + 6*z - n*z - 3 = 0, 2*z + 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 1, 5, 4\/9, 0.5, 12\/5 in descending order.\nAnswer: 5, 12\/5, 1, 2\/3, 0.5, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 9, w: 2}. Give prob of sequence wh.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/((180\/(-240))\/((-9)\/24)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6302 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78676956 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5565, 5545, 5497, 5409, 5269, 5065, 4785?\nAnswer: 4417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 522 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*n - 11. Suppose 2*q + 40 = n*q. Suppose 5*v - q = 0, 2*k + 0*v = -3*v + 22. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(-t**3 - 2*t**3 + 0*t**3) - 19 + t**3 + 19 - 5*t**3 + t**3 + 3*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-6*(-2)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7863354635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 PM and 10:40 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154*u + 855 + 531 = -28*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of s**5\/60 - s**4\/3 + 13*s**2. Calculate b(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -5 + -9 + -3 + 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of -2\/3*v**4 + 14\/5*v**3 + 0 - 29*v - 1\/75*v**5 - 3*v**2. Factor r(w).\nAnswer: -4*(w - 1)*(w + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.77002 millilitres to litres.\nAnswer: 0.00177002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 3*i**2 + 2*i. Let t(p) = -3*p**3 + 47*p**2 - p + 206. Let x(b) = -b**3 + 16*b**2 + 69. Let c(w) = 6*t(w) - 17*x(w). Let u be c(10). Give j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 - -29. Let v = y + -11. Which is the second biggest value?  (a) -5  (b) -4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2258968096?\nAnswer: 2, 7, 11, 89, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 4*r + 96 = 0, -r + 2 = -2. Let z = -6211 + 6490. Calculate the remainder when z is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h + 1. Let m(s) = s**3 - 13*s - 13. Suppose 156 = 2*o + 4*x, -373 = -3*o - 3*x - 139. Calculate o*l(a) + 6*m(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 7*l**2 + 5*l. Let q(i) = -6*i**2 - 5*i. Let a(d) = 6*q(d) + 5*z(d). Let o(c) = c + 20. Let b be o(-11). Suppose -2*j - b = -3. Calculate a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 103296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1401546 to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 7) in base 6?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -483 divided by -7?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.229 + 0.027?\nAnswer: 16.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.976472l?\nAnswer: 9976.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zaza when four letters picked without replacement from zoaozazzzao?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-60342)\/(-5650) - (-6 - -10)*2\/100\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 31*b**2*k**2 + 41*b**2*k + 443617184*b**2 + 487*k**2 wrt k?\nAnswer: 62*b**2*k + 41*b**2 + 974*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 10:16 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 420337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187267?\nAnswer: 401, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(833) + 0 + (sqrt(17)*-1*3 - (sqrt(17)*1 + -2)))**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -4*z**3 + 2*z**2 + 5*z + 43. Let r(m) = -2*m**3 + m**2 + 2*m + 21. Calculate -2*n(u) + 5*r(u).\nAnswer: -2*u**3 + u**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8715 + 14793. Let s = j + -6078.00002997. What is s rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.113 - 1.097. Let g = -2.79 + 3. Let v = u + g. Put -2, v, 9 in descending order.\nAnswer: 9, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*n + 280 = 67*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 3:33 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -149, -1\/50, -23001?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-150)\/20)\/15*(-18)\/(-3). Suppose 20*p - 3 = 17*p. Put 5, j, p, -4 in decreasing order.\nAnswer: 5, p, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1486 + 1?\nAnswer: -1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 779632 is divided by 11812?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92347 is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 30991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -11, -475, -6, -5, -4, -3.\nAnswer: -475, -11, -6, -5, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 649969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hzg when three letters picked without replacement from {z: 1, h: 2, g: 1, o: 4, w: 10}?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -32721450 rounded to the nearest one hundred thousand?\nAnswer: -32700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-2))\/(3\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1210362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -2*g - 4882, 3*g - 14619 = -2*d + 5*d. Which is smaller: d or -4874?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -w + 2*w. Let g = w - 8. Suppose -d + g = 3*v, 2*v - v - 3*d = -1. Which is the third biggest value?  (a) 2\/5  (b) 4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a = -3*a. Let r = a + -1. Let g be (-5 - -2) + 1\/r. Let b(p) = -p**2 - 5*p - 6. Calculate b(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 - 60*k + 611. Let g be a(13). Sort 2, -6, -3, g in increasing order.\nAnswer: -6, -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -68 - 4*c**2 - 398*c**4 + 5*c**2 + c**3 + 140*c**4 + 140*c**4 + 2*c + 117*c**4 in the form s*c**3 + x*c**4 + v*c**2 + r*c + w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 1981 = 3*w, -8*w + 5*w = -4*i + 1990. Round w to the nearest 10.\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 192\/(-1344)*(-60)\/(-3)\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**3 - 118*j**2 - 124*j + 220. What is z(60)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -859 - -857. Sort 1, 12, -4, t in descending order.\nAnswer: 12, 1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 992 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 476.7604*0.2\nAnswer: 95.35208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 39 = 278*i - 277*i, 3*i = 3*z + 33. What is the nearest to z in 0.2, 2\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*w**2*x**3 - 167*w**2*x - 13*x**3 + x - 4 wrt w.\nAnswer: 20*w*x**3 - 334*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(7))*1)**2*4 + (0 + sqrt(252))**2*1.\nAnswer: -24*sqrt(7) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180600 is divided by 12025.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -22*r + 1866. Let p be m(85). Sort -5, 4, p, -1, 2 in descending order.\nAnswer: 4, 2, -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l - 5 + 34 = 4*h + 38, -3*l = 5*h - h + 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.23 - 9.23. Let y = 8.7 + l. Which is the nearest to y?  (a) -0.3  (b) 3  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 815*u**2 + 44009*u - 42. What is a(-54)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2828  (b) 0.4  (c) 5  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 8, 7, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2050, -2048, -2044, -2038?\nAnswer: -2030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 4*c**2 - 6*c - 2. Let x be k(-7). Let u(a) = 18 - 16*a - 60 + 27. Let n be u(-2). What is the greatest common factor of x and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 - 5. Suppose -4*u = -2*k + 3 - 23, 4*k = -u - 40. Let n = 29 + k. Calculate the remainder when n is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 1037232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 - -19. Let o(c) = -2*c**2 - 8*c - 2. Let z be o(-3). Sort -10, s, z, 5 in increasing order.\nAnswer: -10, s, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g**4\/9 - 10*g**3\/9 + 14*g**2 + 160*g\/9 + 32\/9 = 0.\nAnswer: -4, -1, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12408302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3246 + 3248. Which is the closest to l?  (a) 0.4  (b) 1  (c) 0.057  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5525 and 645775?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 27*x**2 + 3*x - 3 - 26*x**2 + 1158*x**4 - 1159*x**4 in the form s*x**4 + d*x**2 + c*x + i + k*x**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9734 in 3\/2, 5, 0.08, 1\/3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.045 + 0.045. Which is smaller: u or -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 2*j - 24 = 0, 28 = 6*d - 4*d - 3*j. Let x = d - -2. Let u = -6 + x. Solve 5*r = 4*h - 12, -h = -r + 3*h + u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 55*n - 5245336. Suppose 0 = 740*k - 748*k + n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 4*w**2. Let f(i) = -5*i**2 + i - 1. Suppose -15 = 2*h + 3*h. What is h*g(t) - 2*f(t)?\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -101 - 14?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -12*y**3 - 6*y**2 - 6*y + 6. Let a(n) = -n**3 - n**2 - n + 1. Determine 6*a(q) - j(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111 - 20*s**3 - 52 + 9*s - 59.\nAnswer: -20*s**3 + 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -63*z + 9. Let c = 168 - 174. Does 23 divide k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -568, 501, -1, 21 in increasing order.\nAnswer: -568, -1, 21, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 + 2*z + 6. Let f(j) = -j**2 - 3*j - 5. Let x = 4862 - 4860. Determine x*o(t) + 3*f(t).\nAnswer: -t**2 - 5*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*c**5 - 420*c**4 + 1028*c**3 + 3812*c**2 - 504*c - 288 = 0 for c.\nAnswer: -4, -3, -2\/9, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 157 = 169 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 1)*(-2*m**3 - 13 - 12 + 41).\nAnswer: 2*m**3 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(2\/29)*((c*c\/(c**(23\/3)\/c))\/c)\/c assuming c is positive.\nAnswer: c**(-574\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*c + 690 = -24*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.566 - 4.866. Which is the third smallest value?  (a) 0  (b) 0.132  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**2 + 182*w + 184113. What is y(-348)?\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of 11*u**4\/6 + 1034*u. Let q(t) = -38*t**2. Give m(q(v)).\nAnswer: 31768*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o - 934 - 290 = 0. Let m = -98 + o. What is the second derivative of m - 26*s - 26*s**2 + 5 - 9 wrt s?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -w - 0, h + w - 57 = 0. Suppose 21*t = -4 - h. Let x = 6 - -18. Which is the second smallest value?  (a) -2  (b) x  (c) 2\/5  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -3\/8, -2, -2\/5, -300\/17 in ascending order.\nAnswer: -300\/17, -2, -2\/5, -3\/8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12244?\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5*(-1)\/(-2)*-2. Let u(d) = -11*d. Let g(n) = 6*n. Determine r*g(a) + 3*u(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 2*a - 9*a. Calculate the greatest common divisor of 22 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 541 = h, -2*h - 644 = -5*m + 433. Is -527 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3653 <= -3651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-307)\/(3 - (-5)\/(-2)). Let s = -409 - q. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 18*h**2 + 5*h + 6. Let s be -6 - ((-1 - -3) + 4 + -7). What are the prime factors of g(s)?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90627.\nAnswer: 3, 17, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/9 of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 63 and 1514800.\nAnswer: 13633200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 20074.\nAnswer: -4014.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -39469267  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-179 + 179 + 19*p)*(-4*p - 2*p - p)*(0 + p**3 + 0) + (-3*p**4 + 6*p**4 + p**4)*(6*p - 2*p - 2*p).\nAnswer: -125*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3 - 2 + 18*s + 4*s - 2. Is c(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 23 + (237 - 242) + (-12 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {i: 3, o: 5, x: 1, g: 1, a: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**4 - 167468*w**3 - 3504853938*w**2 + 35061100480*w - 87663219200.\nAnswer: -2*(w - 5)**2*(w + 41872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/19, -13, 3, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -442*o**2 - 467*o**2 - 395 - 122*o**2 + 352*o**2 - 405*o**2 wrt o?\nAnswer: -2168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 PM and 7:42 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -28*c**3 + 13*c**2 - 13*c - 16. Let r(v) = -13*v**3 + 6*v**2 - 6*v - 8. What is -6*o(b) + 13*r(b)?\nAnswer: -b**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 774 = 129. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4781 + 2?\nAnswer: -4779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2803464 + -4558369. Let t = 1194905 + l. Round t to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 5*j + 2, -2*o + 3*j + 0*j = -4. Let s = 14 - o. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 136 and 73.\nAnswer: 9928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/13  (b) 11  (c) -6\/31  (d) 0.4  (e) 5  (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -130 + 160. Which is smaller: j or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 77 + -82. Let g = 0.5 - 0.1. Let o = g - 0.6. Is o greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-92)\/6)\/(-1) + 22\/33. Suppose -15*d = -r*d - 1. Calculate the common denominator of (5 - -14)*-2*d\/(-14) and -49\/17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2*o - o = 0, -2*o = -5*x. Suppose 8*w + 4 - 36 = x. Solve 0 = 7*a - 6*a - w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-30))\/((12\/(720\/260))\/((-10)\/(-24))).\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -3\/5  (c) 267\/42343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40052 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4196094 centuries to months.\nAnswer: 503.53128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bfpp when four letters picked without replacement from ppffpfppfbppp?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-10) + 34\/(-10). Sort 2, q, -9 in increasing order.\nAnswer: -9, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 2:03 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04 and -51.2.\nAnswer: 2.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, c: 6, d: 8, s: 2}. What is prob of sequence dcs?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22.6 - -24.7. Let t = -47.1 + m. Let v = 0.1 - 0. Which is the third smallest value?  (a) -2  (b) -1\/6  (c) v  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 10*r**2 - 9*r + 27. Give v(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 739 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.3 - -0.6. Let y = -0.4 - t. Suppose -20 = -12*v + 10*v. Which is the third biggest value?  (a) -1\/4  (b) y  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of d**8\/11200 - d**7\/2100 + d**6\/1200 - 13*d**4\/6 + 12*d. Let i(q) be the third derivative of w(q). Factor i(m).\nAnswer: 3*m*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j**3\/3 - 7298*j**2\/3 + 6653950*j\/3 + 6661250\/3 = 0. What is j?\nAnswer: -1, 1825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -350.613778*5.\nAnswer: -1753.06889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 6, -2*c + 4*k + 95 = k. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 1224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 10*d**2 + 19*d - 8. Let f(t) = 6*t - 22. Let g be f(5). Let m be a(g). Suppose -m - 83 = -b. Calculate the highest common divisor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -11 - (-3 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, v: 7}. What is prob of sequence vv?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*z**2 - 958*z - 323*z - 3*z**3 + 9*z**2 + 3969 + 93*z**2.\nAnswer: -3*(z - 27)*(z - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i + 51 = -6*i. What is the highest common divisor of i and 1343?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6164969 is divided by 3674?\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 3*f - 9. Let u be k(4). Let i be 8\/(-4) + 4\/u. Let p = -2 + 1. Is p at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v + 0 - 5*v + 3*v + 13.\nAnswer: 3*v + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -60*n**2 + 176*n - 3. Calculate t(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a2860 + 0?\nAnswer: -1a2860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 609255 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*z - 32*z - 24*z = 24*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, 2, 0, 6 in decreasing order.\nAnswer: 32, 6, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45, 240, 585, 1098, 1797, 2700?\nAnswer: 3825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5 + 0 + 14*k - 15*k. Let c be o(0). Suppose t = c*x - 8, -9 = 2*x + 4*t + 1. What is the nearest to x in 1\/2, 0.1, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134 = -20*w + 95 + 739 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/124 and 115\/1364.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3201 (base 4) to base 13.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of (270\/12)\/((-20)\/(-105)*3\/88)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22 + 41 + 32*c + 2*c**2 - 31*c + (-1 + 1 - 3*c)*(4*c + 0*c + c) + (-c**2 - c**2 + 4*c**2)*(6 - 2 - 2).\nAnswer: -9*c**2 + c + 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -394?\nAnswer: -1970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = -2*p - 7, 17*v - 1994247*p + 43 = -1994249*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1955, -4005, -6067, -8147, -10251, -12385, -14555?\n\"Answer: -g**3 - 2043*g + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((2 + -9)*-1)\/1. Suppose 9 = 4*p - u. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 - -0.4. Let t = -5.94 - -6.6. Let y = -0.96 + t. Which is the nearest to y?  (a) m  (b) 0.4  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 4 + (sqrt(117) + sqrt(13))**2 + 2 + sqrt(13) + sqrt(117) + 0.\nAnswer: 4*sqrt(13) + 218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 + 15*c + 5. Let w be z(0). Solve w*a - 25 = 3*o - 0*a, -2*o + 4*a = 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52684 + 46735 = 1947*n - 49485 - 75001 for n.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**5 - l + l + (l**3 + l**3 - l**3)*(3*l**2 + 2*l**2 - 7*l**2) + (-11*l**4 - 140*l**4 - 57*l**4)*(l + l - 3*l).\nAnswer: 207*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 2*i - 3*s + 64, 0 = 2*i + s - 60. Suppose 4*f - 24 = -f - 4*u, 0 = -5*u + 5. Suppose i + 3 = f*m. Solve 4 = -3*n + 2*k - 3, 4*n + m = 2*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*m + 361 = 76. Solve 2 = 4*u + m*s, 4*s - 8 + 0 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11112210 + -2?\nAnswer: -11112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 - 222 = -10*p. Let z(j) = -j. Let v be z(-4). Solve -2*u + p = y + v*y, 7 = 2*y - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -35. Let o(v) = v**2 + 4*v - 4. Let z be o(-4). Put z, 2, l in descending order.\nAnswer: 2, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -217270 divided by -267?\nAnswer: 217270\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 175 - 145. Which is bigger: 31 or x?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*x + 4689 = -463. What is the least common multiple of 252 and x?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2\/5 - 4*s + 112\/5.\nAnswer: -2*(s - 4)*(s + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3893.26584 - -3891.2. Let g = x - 5.9336. Let s = 8 + g. What is s rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.793011 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a hour in minutes?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, q: 6, n: 4}. Give prob of sequence rq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -10  (b) 0.04  (c) 0.5  (d) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5855)\/225 + 26)*(-3 + -3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z**2 + 13*z**2 - 9*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 247 - 172. Let g = 179889 + -179864. What is the highest common divisor of c and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 8*z**3 - z**2 - 5*z - 10. Let p be h(3). Let o be (5 - (-63)\/(-15)) + (-772)\/(-10). Calculate the greatest common factor of o and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 994282?\nAnswer: 2, 497141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 1453)\/((-29)\/58). Suppose q - 4209 = g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 - 37*f - 38 - 7 + 35*f.\nAnswer: -2*f - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -3\/5, 6, -3, -32.2, 5 in ascending order.\nAnswer: -32.2, -3, -3\/5, 0.1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 70309 or 69749?\nAnswer: 70309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 - -28. Let d(p) = 155*p - p**3 - c - 158*p - 4 - 5*p**2. Is d(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23, -27, -45, -83, -147?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 3 + -3 - (122 - 119)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 41 = 5*g, 4*x - 213*g = -208*g + 53. Factor -6\/11*d - 36\/11 + 6\/11*d**x.\nAnswer: 6*(d - 3)*(d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3. Let x(s) = -6*s**3 + 4. Suppose 41 = 2*t + 39. Let w(r) = t*x(r) + 4*m(r). Find the first derivative of w(k) wrt k.\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-63)\/(-22))\/7)\/(156\/429)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**4\/8 - 83003*u**3\/2 + 498021*u**2\/4 - 249011*u\/2 + 332015\/8.\nAnswer: -(u - 1)**3*(u + 332015)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50946126521365\/66217 - -769381373. Let p = 2637 + -15183843\/5758. Let s = y + p. What is the common denominator of s and -33\/2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4086499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 17 - (3 - (1 + 0)). Let o = 3861 + -3858. Solve o*f + 0 = n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21272029 * -3.\nAnswer: -63816087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 6:20 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 168 and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together 45 and 109627057077.1.\nAnswer: 109627057122.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -62 - (14 - (-17 + 21 - -22))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -13184265 divided by -3?\nAnswer: 4394755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 117 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7700 by -25.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -5*m + 202, m - 77 = 4*w + 181. What are the prime factors of w\/((4 - 3)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 + 33. What is the lowest common multiple of 7 and m?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7648 + 5456 = 13*m. Suppose 3*l + 12 = -2*g - 2*l, -2*l = -4*g. Is 16 a factor of (m\/(-18))\/(g\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7707157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*p + 5*p - 5*p to the form i + w*p and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q**2 - 16*q + 152. Does 10 divide h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176 is divided by 106.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n + 2*n - 12*n = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011111001 + 1101100100?\nAnswer: 101001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8771 + -8700 + (-166 - 0).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 6:44 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*n - 0. Calculate the common denominator of (0 - n) + 14\/(-8) and 2\/(-3) - (-578)\/48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 47903, 199947, 453367, 808175, 1264383, 1822003, 2481047?\nAnswer: 3241527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = j - 7, 0 = -3*j + 3*i - 8 + 17. Suppose -5*q = -1 - 4. Let m be 1 + q*(-2)\/j. Let y(f) = f**3 - 3*f**2 + 2*f. Calculate y(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(25 - 2052\/81). Solve -g = 5*v + 3, 0 = 5*v - 602*g + 597*g - h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40546417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/9)*b)**(-30\/11)\/((b*b*b**2)\/(b*b**(2\/15))) assuming b is positive.\nAnswer: b**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3972 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 47 = 34. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 0*k + 2*k + 42 + 14 - k + 40. Let d(z) = 17*z - 7. Let u(a) = 5*a - 2. Let c(n) = -2*d(n) + 7*u(n). Determine o(c(p)).\nAnswer: p + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -20182, -1, 5.\nAnswer: -20182, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1980743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g + 5. Let q be o(-2). Suppose 5*l - 705 = -5*n, -q*n + 58 = -l + 187. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 2198462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11467*k + 25578*k + 2191*k + 4693*k.\nAnswer: 43929*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -25, 64, -43, -9, -1, -5 in descending order.\nAnswer: 64, 5, -1, -5, -9, -25, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 + 3*i**2 - 3*i + 7. Let f be b(-4). Suppose -f = -3*t + 2*j + j, -j = -4. Suppose -7 - 108 = -t*d + a, a - 29 = -d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 divided by 28709.\nAnswer: 53\/28709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3413025961600 take away 0.3?\nAnswer: -3413025961600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*y + 27*y. Let i(l) be the second derivative of 0*l**2 + l - 1\/160*l**5 - 1\/32*l**4 - 1\/24*l**3 + y. Factor i(s).\nAnswer: -s*(s + 1)*(s + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -5 + 4*(((1 + sqrt(99))*3)**2 + (sqrt(99) + -1 + 2)**2))*3.\nAnswer: 720*sqrt(11) + 12000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 300855933 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**3 + 1 - 1 + (-3 + 3 + 8 + (-1 + 3 - 3)*(3 - 2 + 1))*(-3*d**3 - 3*d**3 + 5*d**3).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = o - 4*a - 18, a + 1 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate r**3 - 340*r + 874.\nAnswer: 3*r**2 - 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 14 = -4*u, -27 = -5*f - 3*u - 11. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 5:13 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 3*l - a = 7, 3*l - 4*a = -35. Let f = -13 - l. Let w(c) = 4*c**2 + c + 8. What is the tens digit of w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of r**6\/120 - 529*r**5\/30 - r**4\/8 + 97*r**3\/6 + 652*r**2. What is the second derivative of c(l) wrt l?\nAnswer: 6*l - 2116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2977894*x**4 + 5*x**2 + 660*x + 20 wrt x.\nAnswer: -71469456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4174*g**2 + 17*g + 478303?\nAnswer: 8348*g + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 2*r - 2. Suppose 0 = -r*o + 4*l + 12, 0*l = -3*o - 3*l + 27. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/2)\/(1\/(-6)). Let q(w) = -w**3 + 3*w**2 - 2*w. Let d(u) = -2*u**3 + 4*u**2 - 3*u. Calculate s*q(z) - 2*d(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from riziriiivrriir. What is prob of sequence vzr?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53443687 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 720 and 450?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 450*q = -182492 + 156392 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -11. Let l(f) = 14*f**2 + 92*f + 56. Let o be l(-6). Solve -o*h + q = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 20 = 4*v. Suppose 3*z - 2*x = 61 + 105, 3*x + 276 = v*z. Suppose -2*a - z = -4*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-16))\/(-3*(-35)\/504)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 5*w - w - 24, -w - 2*x = -9. Suppose 69 + 141 = w*n. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34 + 46 - 12 - 10*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - -1. Suppose -a*p = -0*p + 4. What is the third smallest value in p, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-147)\/(-28))\/((-1)\/4). Let b be ((-5)\/(-3))\/((-7)\/w). Solve -b*o - t = 4, 6*o + 4*t + 16 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -38*y + 34*y - 4*k - 8, -k = -y + 7*y + 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.69999848 - -3.7. Round r to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 324 = t, 1923*t = -3*f + 1919*t + 354. Let u(g) = g**2 + 3*g + 1. Let d be u(-5). What is the greatest common factor of f and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*n = 2*n + 82 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 8, u: 5}. Give prob of picking 3 q.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -160 + 170. Let w = 1855 + -33439\/18. Calculate the common denominator of p\/15 + 2\/(-132)*-58 and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of t**4 - 1613*t**3 - 25105*t**2.\nAnswer: 24*t - 9678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16981.\nAnswer: 16981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(1\/2)*d)\/d)**(12\/5))**(2\/25)\/((((d*d**(-6))\/d)\/d)\/d**(4\/7)*((d\/(d**(-2\/17)*d))\/d)\/(d*d**(-2\/17))) assuming d is positive.\nAnswer: d**(140303\/14875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-3) - (-18092)\/96. Let p = q + -363\/2. Calculate the common denominator of -49\/10 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.01, -421\/98, -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 4577554?\nAnswer: -3\/4577554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2. Let x be -2 + (-3)\/(-3 + 2). Let u(r) = -6*r**2. Give x*u(f) + 9*j(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 0.04787?\nAnswer: 0.019148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/((-572)\/580 - -1). Let g = d + 267. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -144 - -214. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from {m: 1, t: 2, j: 2, n: 1, d: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) -5  (c) -4827  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 948980 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -206*k**2 - 281*k + 276. Calculate g(1).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 240 and 32880?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*z + 2*z**5 - z**5 + z**5 + (10*z**2 + 3*z**2 - z**2)*(z**3 + 2*z**3 - 2*z**3) + 3*z**5 - 4*z**5 - z**5.\nAnswer: 12*z**5 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 158\nAnswer: -3\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-seven halves of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-22)\/w)\/(w\/(w\/(w**(-10\/9)\/w))))\/(w*(w*w\/(w\/(w\/(w\/w**(3\/19))*w)))\/w*(w\/(w*w\/(w**1\/w)*w)*w)\/w))**(-10\/3) assuming w is positive.\nAnswer: w**(35990\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3\/9)\/1*-3. Let q = -3 - -2. Let a(g) = -3*g**4 - g + 3. Let p(x) = x**4 + x - 1. Let u(m) = q*a(m) + y*p(m). Find the first derivative of u(f) wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 8\/378068973?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8860*h**2 + 8872*h**2 + 39*h + 38*h + 2*h**4 - 17723*h**2 - h**3 to n*h + w*h**4 + v + i*h**3 + k*h**2 and give n.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-42) + (-29)\/14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-3)*-6*(-9)\/(-6). What are the prime factors of 6\/(d\/528*4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**2 - 1352*o + 129792 = 0. Calculate o.\nAnswer: 104, 1248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3 or -348766.1?\nAnswer: -348766.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11318938399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 33 - -103?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130415?\nAnswer: 5, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 2*a = -10*z + 11*z - 16, -25 = -3*z + 4*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1158\/(-90) + 42 + -29\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 3  (b) 210  (c) 133  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of s**5\/60 - s**3\/3 + 5. Let l(z) be the third derivative of r(z). Let v(y) = 10*y. Calculate l(v(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 + 6*f + 5. Let j be l(7). Let b be 45\/10 + j\/(-4). Solve -b = t - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45\/(-25)*10\/(-12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4\/7, 0, 1, -1659818?\nAnswer: -1659818","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 + 10*l**2 + 9*l + 11. Let k be ((-13)\/2)\/(2\/4). Let b = 4 + k. What is the tens digit of s(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 54228994*x - 58865945 wrt x?\nAnswer: 54228994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6 - 1)\/(65\/33 - 2). Calculate the highest common factor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.84 from -7.\nAnswer: -7.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -g**6\/24 - 37*g**5\/6 - 365*g**4\/24 - 61*g**2 - 5. Solve b(v) = 0.\nAnswer: -73, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (740 - 0)\/((-224160)\/(-22416))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 5*x + 402, 0 = 59*s - 63*s - x - 536. What is the fourth smallest value in -4, s, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-6))\/(176\/220)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12121 (base 5) in base 12?\nAnswer: 63b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 - -4*(-2)\/(-4). Let g(p) = -9*p - 6. Let h be g(t). Let d be (-2)\/6 + (-21)\/(-9). Solve -d*c + h = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 520 and 1144?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 + u + 2*u)*(-11 + 11 - 2*u)*((u**2 - u + u)*(1 + 3 - 2) - u**2 - 3*u + 3*u - 3*u**2 + 0*u**2 + 4*u**2).\nAnswer: -12*u**4 - 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*d - 11*d - 5*d)*(10 + 84 - 13)*(1 + 0 + 1) to the form t + s*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 778665697 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5586183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 - -1 - (-9 - (-1006)\/(-2)) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 2015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 116, 120, 134, 164, 216, 296?\n\"Answer: g**3 - g**2 + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.097 * 511\nAnswer: -49.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 - 7*r**2 - 7*r - 3. Let l be f(-6). Solve 4*w = 3*i - l, 5*i - 7 + 2 = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -309 + 311. Suppose -1838 = -l*x - 3*i, -4*i + 14 = -2. What are the prime factors of x?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4353 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1169 + 1687. Let h = q + -518. Sort 1\/10, h, 2\/11, -1 in decreasing order.\nAnswer: 2\/11, 1\/10, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -r**3\/4 + 883*r**2\/4 + 443*r\/2 - 442 = 0.\nAnswer: -2, 1, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 206\/13*h**2 + 0 + 2\/13*h**3 + 204\/13*h = 0.\nAnswer: -102, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7949 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (400\/(-2000))\/(2\/530)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -242.51 - 2.49. Let i = 242 + d. Let z = -5 + -1. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -0*a + 16. Let k = -2 - a. Suppose 0 = q - o - 10, -k*q + 5*o + 23 = 2*o. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 559\/89078, -0.2 in increasing order.\nAnswer: -0.2, 559\/89078, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*t - 13*t**2 + 109*t + 5*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**3)**(-32))**(-11)*((d\/d**0)\/d**(3\/7))\/(d*d\/d**(2\/7)*d)**(32\/5) assuming d is positive.\nAnswer: d**(5196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -42*p**3 + p**2 - 3*p + 1. Determine z(2).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o**2 + 0*o**2 - 4*o**2)*(-16*o + 16*o + 2*o**2)*(11 - 4 + 75) in the form u*o**3 + k*o**2 + j + p*o**4 + z*o and give p.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -780, -767, -774, -813, -896, -1035?\nAnswer: -1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -36 - ((104 - 33) + -64).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-140)\/20 - (7 - 17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6531 + -4.\nAnswer: 6527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 35090000 to the nearest one million.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + j + j)*(3*j**2 - 4*j + 4*j)*(3*j + 14*j - 2*j).\nAnswer: 45*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8 - -3)*(0 - 1). Suppose 0 = -h - 4*l + 3*l + 101, -p*l = -2*h + 195. Suppose 2*o - 3*c - h = 0, c - 214 = -4*o - 0*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(2\/5)\/i*i*i)\/(i*i*i\/(i**(-8)\/i)))\/(i*i**(2\/3)*((i\/i**(-2))\/i*i)\/i))**19 assuming i is positive.\nAnswer: i**(-4066\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + 20*q**2 + 15*q - 22. Let a = 67 + -48. What is the remainder when y(-19) is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6342?\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*g - 39877 - 47819 = 1693*g for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggggglglgllglgggg. Give prob of sequence lll.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 133\/32 or 3?\nAnswer: 133\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 3:28 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -838397263 by 76217933.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -638962.\nAnswer: -3\/638962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -88*s**4 - 4*s**2 - 9*s + 418. Let j(v) = 89*v**4 + 5*v**2 + 11*v - 416. Let u(t) = 5*h(t) + 4*j(t). Find the second derivative of u(n) wrt n.\nAnswer: -1008*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 136 and 5100?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 3*b + 4*b)*(40*b - 20 + 20)*(-1 + 1 - b)*(0*b - 4*b + 2*b) + (-1 + 1 - b)*(0*b**3 + b**3 + b**3).\nAnswer: 158*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 18*g**3 - 2*g**2 + g. Suppose -3*l + 3 = -0. What is the remainder when k(l) is divided by (-4)\/(1 - 5\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9228 + 9660. What is the least common multiple of w and 6?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -112200101 + -20220?\nAnswer: -112221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {i: 1, b: 2, j: 1, e: 2, r: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1149+-174.7242816\nAnswer: 974.2757184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2436.9993597 + 2437. What is s rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**3*(u\/(u**2*u))\/u*u*u)\/(u**0)**(-37))\/((u\/(u**8\/u))\/(u\/u**15))**(-9\/14) assuming u is positive.\nAnswer: u**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 90117 - 90175 = -2*x, 5*x = 3*j + 26 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.368259186 to two decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -2*n**2 + 19*n - 36. Let t be r(7). Let f(j) = -j - 2. Let c be f(3). Put t, 0, c, 3 in descending order.\nAnswer: 3, 0, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 212 + 352 = -6*g. Let c = g - -102. Let x(b) = 35*b + 27. Is x(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -459*i + 121. What is the units digit of v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-12)*-18*26\/(-39)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 3*h + 2*h - 25, 5*m + h - 5 = 0. Let x(b) = 3*b**2 + 2*b - 1. Let g be x(1). Let u be (-8)\/6 - g\/6. Is m at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*c - 4. Let v(b) = 33 + 32 + 24 + 6*b**2 + 3*b**2 + 2*b - 86. Let w be v(c). What is the greatest common divisor of 26 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**3 - 1. Let a(g) = -g**2 - 3*g + 20. Let n be a(-6). Let k(w) = -148*w**3 - 1 - 5*w**2 + 147*w**3 + 4*w**n. Calculate k(y) - t(y).\nAnswer: y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 42400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -2. Let r be (-4)\/18 + 1416\/54. Suppose -12 = 7*p - 4*p - 3*x, 3*p + 4*x = -r. Sort j, p, 2 in increasing order.\nAnswer: p, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 2630952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15 + -3)*2872\/1242. Let t = k - 247\/9. Are 0 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 PM and 5:49 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 368, 358, 348, 338, 328, 318?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Sum 5 and -39387337.\nAnswer: -39387332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 3*l**2 + 60*l + 108 = 0.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2*(-25)\/10)\/1. Which is the third biggest value?  (a) p  (b) 2\/11  (c) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20189*g**3 + g**2 + 20261*g.\nAnswer: 121134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -6*k**2 - 3*k - 38. Let u = 1 - -2. Let s(d) = -11*d**2 - 7*d - 76. Let n(v) = u*s(v) - 7*m(v). Differentiate n(z) wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 11*a**2 - 2*a - 2. Let l = 60 - 62. Let t be v(l). Let q = t + -1. Calculate the smallest common multiple of 3 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -86*m + 15. Let t(h) = -1. Let y(i) = k(i) - 2*t(i). What is the units digit of y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/(-5)*-6)\/(45\/(-150)). Let t be 2\/(-7) + (-80)\/14. Let i = t + v. Is i equal to 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3338 + -3333. What is the closest to 2\/3 in 0.1, -2\/15, 29\/2, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 4*z + 8. Let i(b) = 41*b + 3*b**2 + 44*b - 158*b + 37*b + 38*b - 2. Determine i(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 104*y**3 + 1354*y**2 + 70*y + 623. Give l(-13).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 8 = -7. Let l = 2 + 2. Let y = k + l. Put 3, -5, y in descending order.\nAnswer: 3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 2956.339 millennia?\nAnswer: 295633.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -21 and 0.924.\nAnswer: -19.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1411873.47ms?\nAnswer: 0.002334446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - ((2 - -8) + (-77 - -61)) - -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 AM and 5:53 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -5*t + 12. Determine v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 45 by -8496.\nAnswer: -5\/944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s + 4*w + 2705, 2*s = -s + w + 1630. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 640695569 and 2986?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*v**3 - 77 - 48*v**3 + 77.\nAnswer: -67*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 3*w - 2*m, 0 = w + 2*m - 5*m - 6. Suppose -w*x = -3*l - 387, 0*l - 3*l = -2*x + 260. Is 46 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/3*(1*(1 - -6) - (-231)\/(-77))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1\/37, -0.1, 0.57, 3 in increasing order.\nAnswer: -4, -0.1, -1\/37, 0.57, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -530830 divided by 218.\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 598.18 to the nearest 10.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2 + sqrt(5)*2 + sqrt(5)) + sqrt(15)\/(sqrt(24)\/(sqrt(16)\/sqrt(2))).\nAnswer: 4 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 1623543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.111223497 to 6 dps.\nAnswer: 0.111223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00584846 - -0.8?\nAnswer: 0.80584846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.3 + 12.3. Let q = -10 + n. Put 2, 0.3, q in ascending order.\nAnswer: q, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**3 - 18*q + 18*q + (2*q - 3*q + 0*q)*(-3*q**2 + 4*q**2 + q**2) + 189*q**3 - 319*q**3 + 165*q**3.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41.9998065 + -42. What is m rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 96*a**3 - 26*a**2 - 15. Let f(t) = 32*t**3 - 8*t**2 - 5. Determine 3*b(n) - 10*f(n).\nAnswer: -32*n**3 + 2*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6214 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4\/5, 2, -4, 792, 1?\nAnswer: 792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 13, 9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**4)*l*l\/l**(-6)*l*l*l)\/(l\/(l*l**(1\/4)*l*l*l)*l)**46*(l**(-2\/5))**(-2\/41)\/(l**(-1\/4))**(-39) assuming l is positive.\nAnswer: l**(82631\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 3*g - 5 - 3, -2*k - 3 = 5*g. Let o = -6237\/19 - -37403\/114. Which is bigger: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/3*14\/3. Let u be 2\/(-3) + o\/3. Solve -u*g - 2 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3500) + sqrt(3500) + (sqrt(3500) + sqrt(3500)*-1 - sqrt(3500)))\/sqrt(5))**2 - ((sqrt(847) - 4*(1 + sqrt(847))) + sqrt(847))**2.\nAnswer: -2704 - 176*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of 1\/24*s**4 - 1\/120*s**6 + 0*s + 0 + 1\/30*s**5 - 8\/3*s**3 + 8*s**2. Let a(x) be the first derivative of b(x). Calculate a(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -12*j**5 - 5828*j**4 - 191356*j**3 - 1689052*j**2 - 1042712*j = 0.\nAnswer: -451, -17, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 6, -1770925.\nAnswer: -1770925, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/24*(16\/(-28))\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003793321 to five decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -110 (base 6) to base 16\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 4:52 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f - 0*f - 4. Suppose 12*a - 10*a + 12 = 0. Let d = f - a. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1542.8 + 1970.75. Let n = 428 - s. What is the nearest to -2 in 0.2, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12348 divided by 2\nAnswer: 6174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17 and 1071?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -387691, -775381, -1163071, -1550761, -1938451, -2326141?\n\"Answer: -387690*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 - 23*f**2 - 8*f - 58. Let y be n(-23). What is the highest common factor of 45 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.399 - -4.4. Round y to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 36*(0 + -2 - (-102)\/(-24)). Let w be (-2)\/(-10) - u\/125. Suppose l - 2*c + 32002 = -0*c, l + w*c = -31998. Round l to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*q**3*v**2 - q**3*v + 19267369*q**3 + 97*q**2*v**2 + 5271*v**2 - 28*v + 1 wrt q?\nAnswer: 42*v**2 - 6*v + 115604214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13661560 (base 9) to base 12.\nAnswer: 2327090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 4\/5, 0.4, 196, 23.8, 4\/7 in descending order.\nAnswer: 196, 23.8, 4\/5, 4\/7, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.071 + 0.137. Let o = -0.058 - c. What is o rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 20*i**2 + 2*i - 1. Let o be h(-2). Let y = -73 + o. Suppose 237976 = -y*b + 6277976. Round b to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -30 - -30. Suppose 5*z - 6*j - 12 = -2*j, g = -4*z + 2*j + 6. Solve 3*p = -z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1176 (base 10) to base 2.\nAnswer: -10010011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, 2, -1, 3, -4.\nAnswer: -28, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.5 + -7. Let x = 3 + -7. Let t = 10 + -9. What is the closest to t in -0.1, o, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50 + 78. Suppose -2*i = p - 0. Let c be (-30)\/i + 5\/(-35). Solve 0*s - 14 = 4*n - 2*s, -27 = c*n - 5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2260?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 3*u**4 - 510*u**3 - 519*u**2 + 1026*u = 0.\nAnswer: -2, 0, 1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 77, -2, 10, 25, 5, -1 in descending order.\nAnswer: 77, 25, 10, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 3 - (-3 - (3 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28783626 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: Suppose z - 24 = 6*w - 2*w, 0 = 3*w - 5*z + 18. Suppose 6*y - 9 = 3*y. Let k(l) = l**2 + 4*l + y + 3*l + 2. Determine k(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 PM and 12:36 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - 241012020?\nAnswer: -241012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40108736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 plus 0.081352822?\nAnswer: 0.481352822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z + f - 3, 4*f + 881 + 800 + 127 = -241*z - 218*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -382 or -5716\/15?\nAnswer: -5716\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 3:35 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -627\/7 - -89. Let x = -0.6 - -1.6. Let t = -1 - 2. Which is the closest to x?  (a) -2\/7  (b) j  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**2 + 0*n**2 + 0*n**2)*(n + 2*n - 2*n) - 4*n**3 - 3162*n**2 - 27 + 3*n - 10*n + 3160*n**2.\nAnswer: -3*n**3 - 2*n**2 - 7*n - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 54904 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-48)\/15)\/((-2)\/20). Suppose 0*o + o + 2 = 0. Is h\/o*(-9)\/4 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3034827?\nAnswer: 3, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-4)\/(b**(-4)*b))**44)**(-26) assuming b is positive.\nAnswer: b**1144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1994 + 1996. Suppose -3*t = 4*n + 4, -3*n + 5 = -2*t - 9. Suppose 3*b + 12 = n*g + g, -i*b - 5 = -g. Put b, -5, 3, 10 in decreasing order.\nAnswer: 10, 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, c: 3, l: 9}. Give prob of picking 4 l.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s - 4. Let w(d) = 5. Let i(y) = 3*j(y) + 2*w(y). Let f(u) = 7*u + 2. Suppose -21 = -n - 15. Calculate n*i(a) + 5*f(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6, -1818, 3 in ascending order.\nAnswer: -1818, -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5\/(20\/3))\/((-3)\/108). Let l = -12 - w. Solve 5*v - 2*a = l, -a + 11 = v - 3*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3512*f + 266 = -3498*f. Suppose b - 4 = 3*m, -7*m - 44 = -5*b - 4*m. What is the remainder when f is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x**3 + 51*x**2 + 27*x + 60. Calculate the remainder when 138 is divided by b(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**4 - 130*j**3 + 128*j**2.\nAnswer: 2*j**2*(j - 64)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.1 = 1987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((sqrt(1188)*-1)\/sqrt(11) - (-2 + 3 + sqrt(432) - sqrt(432)))*1)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 34 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72 and 1593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4404 is divided by 332?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5230 - -5235. Let m be (-4)\/6 + (-14)\/(-3). Solve p - 6*p = r*a + 10, -4*a + m*p + 16 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 + 935*z + 930.\nAnswer: 5*(z + 1)*(z + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (16\/(-308))\/(4 - ((-270)\/7)\/(-9))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.01 - -0.01. What is the smallest value in -1, -3\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 6 = n - 5, 2*t - 4*n + 8 = 0. Let g be (-38)\/4 + 3\/t. Let j be g\/66 + (-6)\/33. Is 0.2 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(720) + (sqrt(720) - 2*sqrt(720))) - ((sqrt(120) - sqrt(120)*-2)\/sqrt(3))\/sqrt(8).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 125375*o - 233837*o + 145200*o as k*o + a and give k.\nAnswer: 36738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 76836 divided by 25612\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 5*p - 25 = -0, 1 = -p. Sort 10, -8, h in ascending order.\nAnswer: -8, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.02  (b) 611  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 228?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 1:30 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-105)\/(-27) + (-86)\/387. Let s(i) be the first derivative of 0*i + p*i**3 + 10 - 11\/2*i**2. Find the second derivative of s(j) wrt j.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/(124\/(-31)))\/(1*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: a5042 (base 12) to base 14\nAnswer: 58a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22834 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (6 + -5) - -4 - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 513*m - 130249 + 160003 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {a: 2, t: 1, i: 1, m: 2, x: 1, k: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2234987 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -9*q**2. Let g(h) = 249983296*h**2. Calculate g(s(t)).\nAnswer: 20248646976*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 149\/2, 54, 1650?\nAnswer: 149\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 2*v + 3*v)*(-2*v + 0*v - v + (5 - 2 - 5)*(2*v - 2*v + 2*v) - v + 2*v - 2*v + 2 - 2 + 2*v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1312792 and 43264.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4815103860 to the power of 1\/3, to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 16901.3 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*b + 1894 - 974 = 0 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 79\/5  (b) -1\/6  (c) -2\/21  (d) 0.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10563.836596 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -657 - -651. Sort -5, 20, w in descending order.\nAnswer: 20, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5089 is divided by 444.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-168)\/4*1*24\/(-18). Solve -20 = -51*z + x*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.4 - -8.4. Let p = -8 + q. Let w = 7 - 11. What is the smallest value in 0, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*r = -57*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 - 325*o**2 + 1572*o + 109. Give k(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**2 - 5*f. Let n be v(-4). Let u = n - 1. Let k be ((-1)\/u)\/(28\/12). Which is the closest to 0?  (a) 0.1  (b) -0.4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 170 + -167. Suppose 876 = u*c + 312. Is c a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-284)\/94 - -3)*(-12)\/24. Does -3 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 28174773.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 26 + 12)*(0*o**2 + 0*o**2 + o**2 + (2*o**2 - 2*o**2 + 2*o**2)*(0 + 5 - 1))*(o**3 + 4*o**3 - 4*o**3).\nAnswer: -243*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -c**5\/20 + c**4\/3 - c + 3. Let v(s) be the first derivative of u(s). What is the third derivative of v(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - 26. Sort y, 3, -5.\nAnswer: y, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -5*t**3 + 2*t**2 + 5*t + 3. Let y(r) = 4*r**3 - 2*r**2 - 4*r - 2. Suppose -3*f + 5*q = 3*q + 19, 0 = -f - 4*q + 17. Give f*y(m) - 2*h(m).\nAnswer: -2*m**3 + 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2110, -2111, -2112, -2113, -2114?\nAnswer: -2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 3*g + 20 - 0, -13 = -3*c + 2*g. What is the units digit of (-2)\/((-2)\/c)*17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4\/9)*d*(d*d\/d**18)\/d)**24 assuming d is positive.\nAnswer: d**(-1184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 2*m = -28, -m - 3*m - 4 = -2*c. Suppose c = k - 2. Let w be (-1 + 20\/k)\/(4\/(-30)). What is the second biggest value in w, 1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27\/(-360)*-5 - (-50)\/(-240).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 3 + 1. Suppose 0 = -5*g + 5*m + 48 - 18, 3*g + m - 22 = 0. Solve n*l - 20 = g*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -140\/3 - -46. Which is the biggest value?  (a) -2\/5  (b) u  (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9191.8 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - 15*b - 67. What is the remainder when 92 is divided by t(20)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-3*(sqrt(192) + (5*sqrt(192) + sqrt(192) - sqrt(192)) + 0 - sqrt(192)))**2 + -4*-6*sqrt(192)*-4.\nAnswer: -768*sqrt(3) + 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 6 - 4)*(-28376*r + 14216*r + 11986*r) as g*r + l and give g.\nAnswer: -2174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.58, 4, -1, -75, 0 in decreasing order.\nAnswer: 4, 0, -0.58, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -697.853 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p + 41. Calculate d(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q = 25*q - 18. Suppose -5*m + 7*f + 23 = 9*f, -12 = -2*m + q*f. Solve 10 = -m*k - 0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222367*h = 222420*h + 1590 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 76. What is the remainder when w is divided by -28*(-2 + 10\/8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of 11*c**5\/60 + c**4\/6 + 2*c**2 - 4*c - 90. Let t(v) be the second derivative of z(v). Let j(h) = 3*h. Calculate t(j(l)).\nAnswer: 99*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2\/19, -1, 1\/8, 5\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -2 - 3 - (2 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (255\/(-2805))\/(((-18)\/(-198))\/(1*-17))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -1201011112?\nAnswer: -1201011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*o + 164 = -2*j, -o + 41 = 5*j. Let p = o - -85. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -4*l**4 - 1440*l**3 + 179556*l**2 - 5155600*l + 13890000 = 0.\nAnswer: -463, 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1.08232 or 2\/5?\nAnswer: 1.08232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 49 + -45. Suppose -3*x + x = 8, r*g - x = 16000004. What is g rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**17\/(v**(-1\/2)*v)*v**25*v**8 assuming v is positive.\nAnswer: v**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = -3*y - 1167. Let r = y + 218. What are the prime factors of (-2884)\/(-30) - 0 - (-20)\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)\/(sqrt(6)\/sqrt(3)) + sqrt(6))\/(sqrt(144)\/sqrt(8)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 0.2226\nAnswer: -0.1113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20360503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-8)*((k**(-3\/14)\/k)\/k)\/k*(k**(-2))**(-9\/4) assuming k is positive.\nAnswer: k**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v. Let l(g) = 21*g + 0*g - 10*g. Give l(x(y)).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of 2\/3*i**3 + 0 + 6*i + 5\/2*i**2. Find the first derivative of f(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64473.33ug in nanograms?\nAnswer: 64473330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1 and -327675975839.\nAnswer: -327675975838.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8 in -8, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 206*-0.1.\nAnswer: -20.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112) + 5*(sqrt(112) + 2) - (-2 + sqrt(112) + 5)**2.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2877.\nAnswer: 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i**3 + 3*i**2 - 2*i**4 + 0*i**2 + 3*i + 132 - 134 to t*i + d*i**3 + y*i**4 + v + o*i**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8266.\nAnswer: 2, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 10) + -4 + -2 + 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -3, -0.2, -1\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-152 + 10 - 42)*(7*y**3 + y**3 + y**3 + (-2*y - y - y)*(y**2 - y + y)) in the form q*y + p*y**2 + i + r*y**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 699 + -703. What is the second biggest value in -7, -0.17, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 63167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of 2*c**3 + 7*c**2\/2 + 9*c + 538. Let t(x) = -3*x**3 - 2*x**2 + 2*x - 1. Let g be t(1). Does 11 divide n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 2:10 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/(-5))\/((-6)\/20). What is the units digit of (4\/s)\/((-2)\/(-51))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1373081887.3 + -1373081952.19999641. Let g = -64.9879 + 0.0879. Let c = g - p. What is c rounded to 7 dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -61 in 0.5, -6, -1, -3, -0.06?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 717 and 50?\nAnswer: 35850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 99.\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 49703 > 49703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**3 + j**3 - 3*j**3 + j**3 + 1 - 1 + j**3 - j**3 - j**3 + (j**2 - 4 + 4)*(0*j + 2*j - 3*j) - 1 - 2*j**3 + 1 + 2674*j**3 - 9579*j + 9579*j.\nAnswer: 2670*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2a5 (base 12) in base 7?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of 1 - 3*c**2 + 1\/3*c**3 + 10*c. What is the remainder when 32 is divided by g(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/19)*g*g*g**24\/g)**(-46\/5) assuming g is positive.\nAnswer: g**(-21758\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*c + 23 = 9 + 38. Is c > -32\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 47*a**2 - 46*a - 2. What is t(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of y**10\/30240 + y**9\/2016 + y**8\/448 - 13*y**5\/60 + 6*y**2. Let z(f) be the third derivative of i(f). Factor z(t).\nAnswer: 5*t**2*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f - 1. Let p be n(-3). Suppose -t - 25 - 15 = -h, 2*t - 166 = -4*h. What is the second derivative of 4*r + 12*r + h*r**p - 43*r**2 wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 10 = -3*x. Let b(f) = 5*f**2 + 115*f + 557. What is the remainder when b(-19) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 9*h + 2. Let j(q) = -137063*q. What is j(s(t))?\nAnswer: -1233567*t - 274126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from 2940953234025.\nAnswer: 2940953234029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -753117 * -0.2\nAnswer: 150623.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95) + 1*sqrt(95) + sqrt(95))*-2)\/(sqrt(5) - (-5*sqrt(20)\/sqrt(4) + sqrt(5))).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 21222221212011 (base 3) to base 7\nAnswer: 51062461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 5 = -i, 3*i = -0*i + 5*y + 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zqg when three letters picked without replacement from xlxzglxzxlzqzlzz.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a factor of 8910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -0.0629\nAnswer: 0.03145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-7)\/21*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (20 - 5)*(-23552)\/(-40). What is the hundreds digit of (-2)\/(-4)*h\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 630657915 divided by -78783.\nAnswer: -8005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -8080 at most -8127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**2 - 148*f - 4692 = 0.\nAnswer: -102, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8\/6)\/(15\/(609705\/(-34))). Put -5, 4, r in decreasing order.\nAnswer: 4, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.08, 0, 0.1, 10.7, -3, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*c = 21*c - 1550. What is the greatest common divisor of c and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-3*sqrt(152) + -3*sqrt(152)*-3)\/((sqrt(8) - sqrt(80)\/(sqrt(10) + (sqrt(10) - -2*sqrt(10)))) + (2*sqrt(72))\/sqrt(9)).\nAnswer: -36*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, s: 3, v: 3, p: 6, x: 2, q: 5}. Give prob of sequence xv.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -a + 1, 0 = -a - 3*a + 5*h + 22. Suppose -4*k = -3*d + 83599991, 104500012 = -5*k + a*d - 7*d. What is k rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 6:56 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.2 + 3. Let t = 5.78 - 0.78. Which is the third smallest value?  (a) 0.1  (b) -2  (c) t  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-42))\/((-3)\/(-21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 5 - 9*b**2 + 358*b - 337*b - b**2. Let r(m) = m**3 - 3*m**2 - 2. Let k be r(3). Let u(d) = -2*d**2 + 4*d + 1. Calculate k*o(y) + 11*u(y).\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 t when three letters picked without replacement from {r: 2, t: 3, b: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 106115 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 294513021?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**4 + 70*t**2 - 428*t. Let i(z) = z**4. Let f(j) = -5*i(j) + x(j). What is the second derivative of f(l) wrt l?\nAnswer: -36*l**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -6. Let c = 21 - 233\/11. Which is greater: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390*x - 27 = 393*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 4*q + 101. Calculate p(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (720\/(-2280))\/((-78)\/(-65)).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.587*-0.6.\nAnswer: -2.1522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-2)*(5 - (4 - -1)). Let g(o) = -o**3 - o**2 + 4*o + 110. Let a be g(p). Calculate the greatest common divisor of 44 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20401715?\nAnswer: 5, 883, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((33\/(-36) + 1)*-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of 1922*l**7\/7 - 392*l**3\/3 + 2*l + 1197. Find the third derivative of s(p) wrt p.\nAnswer: 230640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 1:03 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -363188 - 4.\nAnswer: -363192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5*n = -58, i - 4*n + 6*n = -38. Let s be 2 - (i - (3 + -3)). What is the highest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 124.8 - 125. What is the nearest to 0.8 in r, -0.4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 5*i - 1. What is the units digit of v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -3*r**3 + 8*r**2 + 90*r - 587. What is z(6)?\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 161747769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 45267 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 4:39 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57)\/sqrt(3))**2 + 2 + (sqrt(209)\/(2*sqrt(11)))**2 - (4 + 2 + sqrt(76))**2.\nAnswer: -24*sqrt(19) - 345\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 392 and 648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 102024023 (base 6) in base 14?\nAnswer: 343539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8254*x - 18 = 3*f + 8255*x, 4*f + 23 = -x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f. Let b = 191 + -133. Let t(m) = -m**2 + 21*m + 4. Let c be t(21). Suppose c*k + b = 66. Give o(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 321*c + 45258. Give f(-141).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7024225 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 14*j - 12. Let l = -648 + 633. Calculate n(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -116 - -203. What is the remainder when m is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 89 - 77. Let u be (15\/6 - 4)\/((-3)\/w). Is -5\/2 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.32 + -12.32. Let j = 21 + c. Let i = 9.0000025 - j. Round i to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.1 + 80.\nAnswer: 76.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 8:06 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -11010001001111100 (base 2) in base 11?\nAnswer: -73543","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 16. What is the remainder when (-1)\/(-2) + (-472)\/(-16) is divided by w(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.931 + 1.359. Let l = u + -10.28547. Round l to four dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {k: 3, p: 15}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -33 - -84. Let m = v - 13. Calculate the greatest common factor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 41.317 and 2494?\nAnswer: 103044.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r - 3. Let p(b) = -b - 2. Let o(w) = -3*p(w) + 2*u(w). Suppose -z + 4*f = -2*z + 6, -3*f - 1 = -2*z. Let i(q) = 0 + 0 + z*q. What is o(i(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(208)*1)\/(3*(sqrt(324) + (sqrt(324) + 1*sqrt(324) + sqrt(324) - sqrt(324) - sqrt(324)) - sqrt(324)))*-2.\nAnswer: 4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/7))**(-22)*(v\/(v\/v**(5\/13)))\/(v*(v*v*v*v**(2\/25))\/v*v) assuming v is positive.\nAnswer: v**(-15557\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, c: 4, s: 8, a: 1}. Give prob of sequence ic.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/22 + (-12180)\/(-22968) - 55\/114.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*v + 24 - 11*v + 34 + 36 + 46.\nAnswer: -20*v + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1372 - -1361. Suppose -4*t + 30 = -110. Let r be ((-4)\/t)\/((-4)\/10). What is the smallest value in r, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 552, 548, 544?\n\"Answer: -4*v + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -39.30701 to zero decimal places.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -3. Let z be 498\/162 + (-16)\/216. Solve z*l = -d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14.8, 0.1, -4, -1, -5 in decreasing order.\nAnswer: 14.8, 0.1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 3*v - 1924 = 2*v, -4*f + 1532 = -v. List the prime factors of (-30)\/6 + f\/4.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 52457753 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) 106  (c) -3\/5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-62)\/(-30) - 145\/87. Which is the smallest value?  (a) 664  (b) l  (c) 5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -36798, -38378, -39958, -41538, -43118?\n\"Answer: -1580*y - 35218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 7:36 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15610.00000052489 + 15610. What is o rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 900 and 115650?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 + 2*l + 12. Let w be s(-3). Suppose w*o + 20 = 110. Find the second derivative of o*t**4 + 19*t - 26*t**4 - 18 + 18 wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 665 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.9 and 655095.\nAnswer: 589585.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 AM and 8:59 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**3 + 4*z**2 + 8*z - 42. Let g be s(5). Suppose -70*k + 76*k - g = 0. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1204*y**2\/17 - 4085194*y\/17 + 74646\/17.\nAnswer: 2*(y - 3393)*(602*y - 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3151069435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3 - 250496*b**2 - 7843530752*b.\nAnswer: -2*b*(b + 62624)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 210\/(-51) + (0 - (0 - 4))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -137 + 415\/3. Which is the fourth biggest value?  (a) n  (b) 1\/4  (c) 17  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1751281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*r = -61*r + 69. Let t(f) = f**2 + 4*f + 6. Calculate the remainder when t(-6) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 0*t + 25 = -5*t, f + 3*t + 15 = 0. Suppose 1 = -b - m - f, 3*b + 2*m + 4 = 0. Let n be 0 + -1 + (-2)\/(-6). Is n < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zbboogzbgoobtbbbg. Give prob of picking 1 b, 1 g, and 2 o.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 671\/(-66) - (-1)\/2. Which is smaller: m or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 177371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q*q*q**22)\/q**21)**(16\/7) assuming q is positive.\nAnswer: q**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**14\/v)**(-1\/5) assuming v is positive.\nAnswer: v**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -2*u - 41 + 367, 0 = -3*l - 3*u + 963. Solve l*d - 90 = 326*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/54*3478\/(-666)*-81?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-2 - -3) - -50. Suppose 3*d - 24 = -2*w - 2*d, w + 3*d - 14 = 0. Suppose 0*n - w*n = -r. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 410657*n**2 + 65952*n - 2.\nAnswer: 821314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1125 (base 6) to base 13.\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-131*k**2 + 261*k**2 - 829*k - 133*k**2)*(-11*k + 11*k + k**2).\nAnswer: -3*k**4 - 829*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 18 * -14.5073\nAnswer: -261.1314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -13 + 0 - (-134100)\/25?\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4804 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 284075 and 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x - 7. Calculate b(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 3*g + 21 - 5, 3*g + 19 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 11112, 11140, 11198, 11286, 11404, 11552?\n\"Answer: 15*v**2 - 17*v + 11114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i - i + 9*i + 4*i + 8*i - 2*i + 3*i + 0*i - i + (i + 4 - 4)*(3 + 0 - 1) + 0*i + i + i.\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 73190802 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3411 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14312 - 150?\nAnswer: -14502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 10*b**2 + 52*b - 48. Calculate u(14).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 0*u - 9 = -u, -5*c = 5*u + 30. Put c, 1, 9 in increasing order.\nAnswer: c, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -4. Suppose 0 = 5*n - 4*p - 6, -5*n + n - p = 12. Is m bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 369\/246 + ((-4158)\/(-12))\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*4942\nAnswer: -2471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -17377, -34802, -52263, -69760?\n\"Answer: -18*d**2 - 17371*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**3 - 455*b - b**3 + 7*b**2 + 89*b + 52*b**2 wrt b.\nAnswer: 6*b + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/3*(-4)\/((-28)\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13242.\nAnswer: 2, 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of c**6\/36 - c**5\/5 + c**4\/3 + c**3\/3 - 3*c**2\/4 + 173. Factor m(y).\nAnswer: y*(y - 3)**2*(y - 1)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2456587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of 1\/168*n**8 + 0*n**6 + 0*n**5 + 1\/8*n**4 + 5*n**2 + 0*n**7 + 0 + 0*n**3 + 0*n. Find the second derivative of h(p) wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 45445920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -750 divided by 750.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -385 + 384.6. Let j = 3 - 5. Sort l, 0, j in ascending order.\nAnswer: j, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c. Let q(s) = -6*s**2 + 14*s. Let x(n) = -n**2 + 3*n. Let i(p) = p - 2. Let z be i(5). Let k(d) = z*q(d) - 14*x(d). Give l(k(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 42 + -2. Suppose 5*j - 21 = w, 4*w - 1 - m = -5*j. Solve -4*n**2 - 10*n**5 - 2*n**3 + 8 + 16*n**w - 8 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 5*p = 185, 5*p = -3*f + f + 295. Suppose -5*v - j = -f, 4*v - 3*j - j = 104. Calculate the greatest common divisor of 124 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 54822848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 2 = 2*u, -f + u - 4*u + 3 = 0. Suppose -5*d - 3*r + 200 = f, 0*d + 3*r = 3*d - 144. What is the remainder when d is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5641\/30 + -991\/5. Suppose -3*g = 5*w + 144, 2*w + 4*g + 42 + 10 = 0. Let j = w - -325\/11. Calculate the common denominator of j and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 + 4\/6)\/(1\/18). Suppose -f + 3*f - r = 0. Let k = f - 4. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -53  (c) 0.02  (d) 0  (e) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(405) + 0 - sqrt(405))*3 + 0)**2 + (3 + 1 + sqrt(405) + 1 + -1)**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 157982890 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21959599 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -7*z**2 - 169*z - 29. Let o be q(-24). Sort 11, o, 0 in descending order.\nAnswer: 11, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-four thirds of a day in minutes?\nAnswer: 45120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 1 - 6)*(4*f + 2*f - 4*f) + 1 - 2*f - 1 + (-1 + 2 - 2)*(2*f - 8*f + 3*f) to the form h*f + r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from admmdemmammmmeeaade. What is prob of picking 1 d, 1 a, and 2 e?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1077209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 26529*o + 19*o**2 - 27*o**3 + 9 + 25*o**3 - 26529*o. Determine g(9).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ogaoggbvjjo. Give prob of picking 2 g, 1 o, and 1 b.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2220 = 7*w - 8371. Suppose 78 - w = -5*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y - y - 2*y)*(-1 + 0 + 2) + (-2*y - 5 + 5)*(2 - 2 + 2) + 4*y - 4*y - 2*y - 3*y + 2 - 2 to the form p + k*y and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0056691 to five decimal places.\nAnswer: 0.00567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 7:00 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 + 12\/16)\/((-2)\/24). Sort a, -1, 4 in descending order.\nAnswer: 4, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -328*r**3*x*z**3 - r**3 + 2*r**2*z**2 + r*x*z**3 - 2*z**3 wrt x?\nAnswer: -328*r**3*z**3 + r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 118 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 252 and 87732?\nAnswer: 614124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 6*p + 35. Let l(j) = -2*j - 12. Let w(b) = 17*l(b) + 6*x(b). Let i be w(-10). What are the prime factors of (-12)\/42 + (-186)\/i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2111713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -28) + -11 + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**16\/(r**(4\/3)\/r)*(r\/(r**26*r))\/r**(3\/4))**(27\/5) assuming r is positive.\nAnswer: r**(-1197\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -77*h + 4. Let k = 46 - 48. Is s(k) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91.31 times 13\nAnswer: 1187.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32851768?\nAnswer: 2, 4106471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 39*d**2*t - d**2 - 192*d*o - 6*d - 3356729*o*t wrt d?\nAnswer: 78*d*t - 2*d - 192*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.01 + 0.23. Let p = h + -0.32. Let l be (1 - 3\/(-6))\/3. Which is the third smallest value?  (a) 1  (b) p  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 11*m**2 + 9*m - 7. Let y be v(-10). Suppose -3*t = -4*t + y. Suppose k - 2*k + 6 = 0. Calculate the least common multiple of t and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 102 and 74154?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 318 = 2*i, 0*i - 468 = -3*i - 3*a. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + 5*s + 10, -4*s - 8 = 7*m - 3*m. Let b be 2*(1\/(3 - 0))\/1. What is the closest to -0.2 in b, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66170 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 12767710.52 to the nearest one thousand.\nAnswer: 12768000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6 + -1)*-1 + 25 + -15. Let r(j) = -4*j**3 + 8*j**2 - 11*j + 3. Let l(d) = -3*d**3 + 5*d**2 - 7*d + 2. Give p*r(u) - 8*l(u).\nAnswer: 4*u**3 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -411, -1652, -3729, -6648, -10415, -15036?\n\"Answer: -b**3 - 412*b**2 + 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 269\/6 + -265\/6. Let p = 42 + -45. What is the third smallest value in 3\/4, p, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 581\/(-4648)*48\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 37*x - 181. Let a be o(5). Suppose 4*k + 2 - 32 = -2*n, 0 = -n + a*k + 3. Solve -16*t - 15 = -n*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/4 - 22\/(-8). Suppose 4*m - 80 = -2*j, 2*j = j - b*m + 45. Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 + -30. Suppose -s*a - a = 0. Suppose a + 2\/5*i**2 - 4\/5*i + 2\/5*i**3 = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1675 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -183 + 0.2947887\nAnswer: -182.7052113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1380 and 140116?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1591, 1582, 1559, 1516, 1447, 1346, 1207?\n\"Answer: -j**3 - j**2 + j + 1592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 37*p - 198. Let w be q(-16). Let c = w + 1810. What are the prime factors of c?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of l**2*r**2 - 49*l**2 + l*r**2 - 4*r**2 wrt l?\nAnswer: 2*r**2 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - r = 4*q - 1, 4*r = -5*q - 50 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 4, -0.3, 0.6, -6, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -73 + 91 - (1 - (1 - 5) - 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*k**(2\/5)*k**12 assuming k is positive.\nAnswer: k**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 436 + -429. Suppose 4165 = v*f - 0*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*m + 61*m + 24*m.\nAnswer: 123*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005724754 rounded to five decimal places?\nAnswer: -0.00572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 3*c. Solve 3*d = -v - 2, c = 3*v + 4*d + d - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*p**2 + 13*p**2 - 28*p**2 + 17*p**2)*(-3*p + 4*p - 2*p)*(17*p - 47*p - 37*p).\nAnswer: 1407*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 - 18. Suppose 0 = -c*q + h + 43, -13 = -5*q + 3*h + 26. What is the highest common factor of 99 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a century in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the second derivative of 0 - 21\/2*x**2 + 3*x**3 + 1\/4*x**4 - 12*x. Suppose u(b) = 0. Calculate b.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 18 - (42\/6 + -6). Suppose 11*a - k = 5. Let z = 1 + 2. Solve -a*q + 3*o + 12 = 0, z*q + 0*q - 4*o - 16 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6128459432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 18 + (15 - 26) - (16 + -52)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 - m. Let q(y) = -4*y**3 - 2*y**2 - 7*y. Let a(p) = -p**3 - 5*p**2 + 68*p - 7. Let f be a(6). Calculate f*i(b) - q(b).\nAnswer: 4*b**3 - 3*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -355465280 to the nearest 1000000.\nAnswer: -355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-5*(-3 + -1*sqrt(11) - sqrt(539)*4)*1*1*6)**2.\nAnswer: 156600*sqrt(11) + 8334000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/99  (b) 1\/8  (c) -4  (d) 2  (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 300592.513 to the nearest one hundred.\nAnswer: 300600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -22524*g + 2. Let u(i) = 252*i. What is a(u(j))?\nAnswer: -5676048*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 39 = -4*h - 0*u, 0 = -2*h - 4*u. Let k be (0 - h\/(-1)) + 0. Calculate the highest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*k*s**5 - 6*k*s**2 + 50*k*s - 2*s**2 - s wrt s?\nAnswer: -120*k*s**3 - 12*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2732 - 1595. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135903347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13.47 and 1869?\nAnswer: 25175.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/700 and (-4)\/((-13440)\/5994) - ((-42)\/(-7) - 4).\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i**3\/7 - 735*i**2 = 0 for i.\nAnswer: 0, 1715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 74 = -2*q, y - q + 0*q = 25. Suppose 6 = 5*i + 5*c - y, -5*i = -3*c - 6. Let j = -166 - -166. Solve j = -i*m + 2*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11646 and -2.\nAnswer: -23292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**3 + 6*o**3 - 2*o**3)*(-5 - 3 + 3) + 2*o**3 + 44*o**2 - 44*o**2.\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.15873 to 1 decimal place.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(6\/19)*v)\/(v\/(v**(-2\/25)*v)))**(-5\/14) assuming v is positive.\nAnswer: v**(-587\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15 and 857820?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/3 - (-22)\/(-6). Let x be 12\/(-10)*(-5)\/2. Let g be (6 + -13)\/(-84)*(0\/(-3) - 4). What is the nearest to t in -5, g, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 844 - 420. Calculate the greatest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -327 (base 11) in base 15?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 6, 0.02 in ascending order.\nAnswer: 0.02, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 760 (base 16) to base 8\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 9, -3*k + 3*j = -36 - 54. Suppose -k*p = -22*p - 425. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -13, -96, -325, -772, -1509, -2608, -4141?\n\"Answer: -12*k**3 - k**2 + 4*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 7*d - 4. Suppose -99 = -6*x - 21. Let l(h) = -x*h - 79 + 61*h + 52. What is -27*c(i) + 4*l(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 71 = 4*i, 2*s - 96 = -2*s - 4*i. Suppose 5*w + 5*c + 1 = -14, -c = -3*w + 7. Suppose -w = -n + 4. What is the greatest common divisor of s and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l - l + 0*l)*(-5*l**3 + 3*l**3 + 9*l**3) - 4*l**3 + 4*l**3 + l**4 + (-3*l**3 + 7 - 7 - 5*l)*(-2*l + 5*l - l).\nAnswer: 9*l**4 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 817\/(-43) + 42\/4*4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56925011?\nAnswer: 11, 13, 398077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -92881, -92875, -92869?\nAnswer: -92863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n - 4289 + 8578 + 30*n - 4289 + 83*n**2 + (n + n - n)*(n + 4 - 4).\nAnswer: 84*n**2 + 27*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 11*q**3 - 27*q**2 + 31*q - 9. Let j(d) = -6*d**3 + 14*d**2 - 16*d + 5. Let k(f) = 7*j(f) + 4*n(f). What are the prime factors of k(6)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 806393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (12\/(-99))\/(22\/33). Which is the closest to 3?  (a) -7  (b) t  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.9 - 96?\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**2 - 34945119*v.\nAnswer: -3*v*(v + 11648373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 59*m**5 - 60*m**5 - 37*m + 10*m + (m - 3*m + 0*m)*(2*m**3 - m**4 - 2*m**3) + 1 - 4*m**3 + 70*m**4 - 70*m**4 - 4*m**5.\nAnswer: -3*m**5 - 4*m**3 - 27*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 180*m**2 + 162*m**2 - 73*m**2 + (-7 + 7 + 3*m)*(-m - 2 + 2).\nAnswer: 266*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3)\/4)\/(13\/(1248\/(-9))). Suppose -47*x = -43*x + j. Let r be -1 + ((-2)\/20)\/(-1). Which is bigger: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3098140390?\nAnswer: 2, 5, 3041, 101879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 8068.968ng?\nAnswer: 0.000000000008068968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, g: 1, m: 1, r: 1, s: 1, h: 2}. What is prob of sequence smgs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.05?  (a) 2\/13  (b) 0.07  (c) 1.7  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2478*t**3 - 8*t**4 - 2478*t**3)*((-1 + 0 - 1)*(t - 3*t + 0*t) + 1 - t - 1) + (-2*t - 4*t - 7*t)*(-3*t**4 + 3*t**4 + 4*t**4).\nAnswer: -76*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of b**6\/120 - b**5\/20 - 10*b**2. What is the third derivative of o(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of f**4\/2 - f**2. Let y(c) be the second derivative of -c**3\/2 - c - 763. What is y(g(q))?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**2 - 5*f + 7. Let l be t(6). Suppose 2*p = 5*w + l, 0 = -0*p + 5*p + 5*w + 20. What are the prime factors of (-5 - p)*21\/(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 639 = 6*z. Suppose z = 6*h + 27. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.77*-9.9\nAnswer: -27.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t*t*t**2*t)\/t)\/t**(-8\/5) assuming t is positive.\nAnswer: t**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 688, 2681, 6018, 10699, 16724, 24093?\nAnswer: 32806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*q + 2*q + 2 - 2 + (-4 + 3 + 2)*(2*q - 1 + 1) + 0*q + q + 0*q + (q - 2*q + 0*q)*(-4 + 1 - 3).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 o, and 2 c when four letters picked without replacement from {c: 2, o: 3, i: 9, z: 2}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + b**2 + b - 1. Let u(m) = m**3 - 17*m**2 - 2*m + 18. Let g(o) = u(o) + 2*x(o). Let w be g(-15). What is the highest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q*q\/(q**(-1\/2)*q)*q))**37)**(-1\/2) assuming q is positive.\nAnswer: q**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 439 + 5744. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((612\/(-132))\/17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15692 a factor of 4008909757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -103 + 176. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i. Let h(j) = -j - 6. Let l(c) = 2*c + 13. Let m(s) = 13*h(s) + 6*l(s). Give z(m(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12396984 and 1038.\nAnswer: 2144678232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 352 = -7*y. Let o = 5 - 1. Calculate the greatest common divisor of o and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - -4. Let j = h + -7.97. Let r = j + -0.53. Sort -2, -0.3, r.\nAnswer: -2, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14552329 equal to -6.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8722, 17421, 26120?\n\"Answer: 8699*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(2448) + sqrt(2448) + 0 + sqrt(2448) + 2)**2.\nAnswer: 144*sqrt(17) + 22040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (11 - 644217\/36) + (0 - -4). Let l = -17870 - p. Calculate the common denominator of 51\/10 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 - 5*m - 1. Is t(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -10*f. Let j(t) = -2*t**2 - 4*t + 2. Let s(a) = 2*a**2 - 11*a + 6. Let h(v) = 3*j(v) - s(v). Give h(o(k)).\nAnswer: -800*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 12) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-274*z**3 - 282*z**3 + 611*z**3)*(-1 - 3 + 2)*(2*z + 3*z - 7*z).\nAnswer: 220*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n**2*v**3 - 2*n**2 + 5*n*v**3 + 1165*n*v - 25*v**3 wrt v.\nAnswer: 12*n**2*v + 30*n*v - 150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12\/(-18))\/((-4)\/120). Suppose k - 4*v = -10, -2*v + m = k + k. What is the units digit of k\/27 + 86\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddzz when four letters picked without replacement from zzzzzdzzddzz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99, -106, -117, -132, -151?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -19689, -19885, -20081, -20277, -20473, -20669?\n\"Answer: -196*a - 19493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34 and 162139336.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -266, -284, -314, -362, -434, -536, -674?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 2*a - 9, 14 = t + 4*a. Suppose t*k = 5*k - 6. Solve 2 = 4*h + 3*i, -k*i = -3 + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 6*c**2. Let y(f) = f**2. Let v(h) = 2*h + 32. Let b be 2 + 4\/(-3) + (-374)\/3. Let l = 105 + b. Let d be v(l). Give d*y(q) + 2*p(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 5*z + 4 - 37, -5*n = -2*z - 33. Suppose -72 = -2*r - n*r. Solve 4*g + 16 = x + 8*g, 4*x - 2*g + r = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*z - 9*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50 + 27 + -31 + 14 + 10 + (1 - 7).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 407 + -401. Suppose -2*f = -3*x - 4 - 1, 0 = -4*x + 5*f - 9. Let y be (x - 0)\/((-15)\/165). Solve -y*p + j*p = -20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*q**3 + 3*q**3 + 2*q**3)*(2508*q + 1873*q - 1248*q + 7606*q + 3764*q) to p*q**3 + t*q**2 + u + l*q + f*q**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4377 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -335*l - 334*l + 2600 = -3421 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -37 less than 8660669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -36 and -477664.\nAnswer: 17195904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 265*p - 65. Let f(b) = 13. Give -10*f(z) - 2*y(z).\nAnswer: -530*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, p: 1, w: 1}. Give prob of sequence dp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 3*z**2 - 7*z + 5. Determine c(5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 165 = 4*i - 5*n, 0 = -4*i - n + 147. Let s = i - -18. Does 28 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 457729 is divided by 910?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -4*g. Let v(p) = -15*p - 380 + 380. What is -21*s(u) + 5*v(u)?\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2067, 16142, 54307, 128592, 251027, 433642, 688467?\nAnswer: 1027532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/(-2))\/1*6. Differentiate -i*o - 1 - 4*o + 4*o wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 797605?\nAnswer: 5, 159521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 2. Suppose 66 = 6*m - v*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*q - 40 = -67*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -431*k**2 + 211*k**2 + 210*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 15957*t. Let s(v) = -928*v. Give j(s(x)).\nAnswer: -14808096*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -1. Let j(r) = 4. Let k(i) = -j(i) - 5*q(i). Let c(y) = 3*y**2 + 9*y - 6. Let p(o) = -c(o) - 12*k(o). Solve p(x) = 0 for x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 + 1102040*z - 52909440.\nAnswer: 5*(z - 48)*(z + 220456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110110010111 (base 2) to base 10.\nAnswer: 7575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -103*l - 253. Is 26 a factor of q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -841?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 23 - 65. Let j = 7250 - 7230. Let n be y\/(-2) + j + -17. Sort n, 1\/4, 0.4 in decreasing order.\nAnswer: n, 0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4*y + 38 = 71, -5*p = 3*y + 16. Let s(l) = l**2 - l + 1. Let o(a) = 3*a**2 - 3*a + 8. Calculate p*o(b) - 5*s(b).\nAnswer: -2*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 1) + -6 + 4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -305*i + 3*p = -300*i - 17790, -p + 5 = 0. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.781 + 4.781. Sort b, -18, -2, 2\/9, 5 in ascending order.\nAnswer: -18, -2, 2\/9, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1873085, -1873021, -1872851, -1872521, -1871977, -1871165, -1870031, -1868521?\nAnswer: -1866581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 2:08 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -65.68 - 4682445.\nAnswer: -4682510.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -503551110 - 3?\nAnswer: -503551113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of 49*z**3\/3 + 3*z**2\/2 + z + 53. Suppose 5*g + 14 = 3*x - 2*x, -5*g + 3*x - 22 = 0. Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -30 - -34. Suppose g + z*p - 260 = 500, 5*p + 1494 = 2*g. Let r = -273 + g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3840)*-1*-5)\/(sqrt(12)*1*-6*-4).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-18) - 204\/(-54). Suppose n*o = o + 24. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2*c = 3*c + 2, 3*c = -5*m + 34. Let z(u) = u**2 - u - 1. Let s be z(-2). Calculate the highest common factor of m and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) 1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*v**3 + 2*v**3 + 30*v**3 - 56*v wrt v?\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.28 + 0.08. Let t = -0.2 - k. Let u = -4.08 + 0.08. Sort u, 2\/9, t.\nAnswer: u, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -8*f + 65. Give c(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 1  (b) -11  (c) -72  (d) -1\/4  (e) -0.24  (f) -0.3  (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -487*y - 1. Let q(g) = -344*g + 1. Calculate h(q(x)).\nAnswer: 167528*x - 488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 2:25 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 5*z + 28, -3*g + 8 = g + 2*z. Suppose -2*a - g*q = -24 - 28, -5*a + 117 = -3*q. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 + 21*u**2 + 23*u + 4. Let m(l) = l. Let y(f) = -m(f) + w(f). Let a be y(22). Solve -j - 7 = a*j - 3*q, 2*j + 2*q = 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*f = 4*f + 5985. List the prime factors of f.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 26 + 8 = 0. Suppose 0 = 26*i - 23*i - 111. Let h = i - a. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144421 (base 6) in base 5?\nAnswer: 421411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -138497, -138501, -138505, -138509?\nAnswer: -138513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 60a70 + -3?\nAnswer: 60a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.7  (b) 4  (c) 210292  (d) -1  (e) 1  (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -55 by 38333.\nAnswer: -55\/38333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1910700 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -302894478 divided by 4.\nAnswer: -151447239\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 AM and 6:57 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 + 65\/(-25))*25. List the prime factors of (9 - m)\/((-3)\/261).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + -3))**2 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -319722*f + 64. Let k be s(2). Round k to the nearest 10000.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n**5 - 7133*n**4 + 71219*n**3 + 78353*n**2 = 0. What is n?\nAnswer: -1, 0, 11, 7123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 513099 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 + 21. Let g = 9.5 - x. Which is the second smallest value?  (a) g  (b) -0.5  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, p: 3, m: 1, e: 3, b: 1, x: 3}. Give prob of picking 2 p and 1 b.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2424 - 238*q + 469*q - 232*q)*(-2*q + 0*q + 0*q)*(2*q**3 - q**3 + 0*q**3).\nAnswer: 2*q**5 + 4848*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -90091*-4.\nAnswer: 360364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1008)*-1 + 2.\nAnswer: -12*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4961 + -4651. What is the remainder when 941 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jmgmmgvgmg. What is prob of sequence vmgm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**4 - 4*z**3 + 12*z**2 + 20*z + 8.\nAnswer: -4*(z - 2)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 385500 is divided by 3876?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 62379 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: ((2*1)\/2)\/(130\/104)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 206 - 182*v + 34 + 163*v - 83*v wrt v?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 5*l**2 + 3*l - 2. Let i be f(-4). Suppose 640 = 4*c - 0*w - w, 0 = -c + 5*w + 179. Suppose -i*z + 343 + c = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*f + 2*q + 34 = 0, 41 = 2*f + 5*q. Let r be 3\/(-6)*-1*f. Solve 2*y + 6 = 2*a, 5*a - 10 = y + r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.00221 - 0.002. What is k rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -o**3 - 10*o**2 + 10*o - 693. Calculate t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 5*i + 36 = 123, 36 = -2*m + 4*i. Let q = -12 - m. Let v = -5 + q. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 2\/11  (c) 882  (d) 0  (e) 307  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 - 37*f**2 + 38*f + 69. Let x be i(36). Calculate the highest common divisor of 188 and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 smaller than 392\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**4\/12 + m**3\/6 + m**2 - m. Let x be d(0). Let w = x + -1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*x**3 - 14*x**3 + 25*x**3)*(-24 + 53 - 21) + 1 + 0 + 25*x**3 - 29*x**3.\nAnswer: -28*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/4 + -1 - (-3 - -4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 592697.\nAnswer: -1\/592697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6380\/11181 - 1496044771\/223620. Let c = q - -6691. Let d = -26887\/16 + 1681. Calculate the common denominator of d and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49811.\nAnswer: 49811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1155655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1286, -4939, -10552, -17735, -26098?\n\"Answer: 65*n**3 - 1370*n**2 + 2*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 163 + -163. Solve l*j + 2*j - 11 = 3*y, 2*y = -j - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pddm when four letters picked without replacement from {p: 6, m: 7, d: 4}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -70896203 + 70896182.9999991. Let g = v + 20. What is g rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 182327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 - 11*w + 10. Let t be r(10). Solve -5*k + 4*k - 4 = t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.3 + 4.6. Is p <= -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 11743875.4\nAnswer: -5871937.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4356) - -3*sqrt(4356))*-1)\/(sqrt(588) + 3*sqrt(588)*3 + sqrt(588) - sqrt(588)).\nAnswer: -22*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 324\/113923?\nAnswer: 324\/113923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4766 - 0?\nAnswer: -4766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 1616035*v + 0*v**2 - 1616031*v + 20*v**3 + 0*v**2. Let a(o) = -19*o**3 - 3*o. Determine -4*a(z) - 3*h(z).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - t + 0*t = 1461, 0 = 5*p - 4*t - 1829. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3353  (b) 3  (c) 6  (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(4\/3)*q**(-15))\/(q**5\/q)**45 assuming q is positive.\nAnswer: q**(-586\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2 = -4. Let k(o) = 4*o - 7. Determine k(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 44 = -0*m. Let g(k) = -k**3 + 7*k**2 - 4*k + 3. Suppose -26*i = -90 - 40. Let p be g(i). Calculate the greatest common divisor of p and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, 65, 254, 623, 1232, 2141, 3410, 5099?\nAnswer: 7268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -160 - -159.7. Sort i, -9.7, 0.5.\nAnswer: -9.7, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7398 is divided by 1234.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n\/n**(-1\/5)))**(2\/17)*(n**1)**40 assuming n is positive.\nAnswer: n**(3408\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-19 - 0)\/((-63)\/66087) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 23 = 70. Let j = -30 + n. Let d(i) = -7*i. Determine d(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 AM and 12:41 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 28011.21 hours in days?\nAnswer: 1167.13375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 188, 186, 184, 182, 180, 178?\n\"Answer: -2*d + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2045*v**3 + 2600*v**2.\nAnswer: -12270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -362 - -369. Solve -6*q + 5 = -p*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 245, 243, 241, 239?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1870519800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -831\/14869?\nAnswer: -831\/14869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 16*x**2 + 11 + 4*x**5 + 2*x + 24*x**3 + 2*x - 11 + 16*x**4 = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18df (base 16) in base 14?\nAnswer: -246b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.4927 centimeters in meters?\nAnswer: 0.994927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 4) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d + 27*d + 6*d)*(0 + 3 - 1)*(2 + 3*d - 2) as z*d**2 + m + g*d and give z.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 51099225 and 3350?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -38761 > -0.006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(528)*-3 - sqrt(66)\/(sqrt(2)*-4 - sqrt(2)))\/(2*(sqrt(121) + (sqrt(121)*-1*-6 - sqrt(121)))\/sqrt(11)).\nAnswer: -59*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 8 = 3*z. Let v be 6\/z - -4 - (-1 - -2). Suppose n - 116 + 31 = v. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = 78*d - 223. Solve 3*n + d*t - 15 = 0, t = -4*n + 6*n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 d when three letters picked without replacement from {p: 5, y: 2, a: 1, d: 4, o: 7, v: 1}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of 0 + 0*c + 3*c**2 - 1\/6*c**4 + 0*c**3 + 1\/60*c**5. What is the second derivative of h(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/13 in -39, -6\/17, 3, 8?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168 = -8*c - 4*s, -c + 72776*s - 3 = 72781*s for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 + -13. Suppose -2*g - 7 + d = 4*w, 0 = -g + 2*w + 2. Solve g = 4*n - n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, z: 4}. What is prob of sequence yyzy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-70)\/(-294))\/(35\/98).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1a8 (base 13) to base 3\nAnswer: -102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.6?  (a) 0.1  (b) -3  (c) 0.5  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -2\/3  (b) -0.3  (c) -0.6  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13764 - -82841\/6. Let t = -244\/3 + r. Find the common denominator of -89\/2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -19*u. Let q(n) be the second derivative of -n**4\/12 - 27*n. What is h(q(t))?\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/9 + 31622*r\/3 + 94868\/9.\nAnswer: -2*(r - 47434)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(5\/2)*d**(-1\/10)*d)\/((d\/(d*d*d**(-2\/7)))\/d*d**(-3\/11)*d))**43 assuming d is positive.\nAnswer: d**(72627\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/976 and -31\/7944?\nAnswer: 969168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 1:55 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 3*t**3 + 31*t**2 + 126*t + 792. Calculate m(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -44. Let q = k - 10. Calculate the lowest common multiple of q and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 + 11*f + 11. Calculate u(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/26))**37 assuming y is positive.\nAnswer: y**(37\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 103565\/2681525 - 1\/35. What is the closest to 1\/3 in 0, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2 - 5*z + 4. Let a be 6\/3 + 0 + 2. Let f be n(a). Factor -4\/3*o**3 + 2\/3*o**5 + f*o**4 + 0*o**2 + 0 + 2\/3*o.\nAnswer: 2*o*(o - 1)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172356?\nAnswer: 2, 3, 53, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 143*l**2*s + 2*l**2 + 48*l*s + 8732 wrt s?\nAnswer: 143*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21850008.\nAnswer: 2, 3, 103, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxslsbssluurluxssss. Give prob of sequence srbs.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 151.56 + 2.44. Let f = -151 + j. Which is the closest to f?  (a) 0.4  (b) -3  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72, 76, 80?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 923 - 918. What is the nearest to 1\/5 in k, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -2*m + 3*q, -6*m - 5*q - 17 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 + -11.5. Suppose 15 = -3*b, 4*b = -d - 0*b. Suppose -5*z + 5*v + d = 0, -v = -2*z + 4 - 0. What is the third biggest value in -5, m, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1987.5 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2171 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 17814.582 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 6*k - 2*f - 2526 = 0, 5*k + 4*f = 2538. Let q(s) = -s**2 + 10*s**2 + 506 - k. Let u(l) = -8*l**2. What is q(u(a))?\nAnswer: 576*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-8)*(f\/(f*f**(-1\/7)*f))\/f*f*(f\/(f*f**(-11)*f)*f*f)\/f**(1\/16))**(-21\/4) assuming f is positive.\nAnswer: f**(-1035\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72806176 and 836.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -675*j = 158*j + 442*j + 28*j - 23454 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to 4\/233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21 + 10. Let c(t) = -3*t - 2. Let o(u) = u + 41. Let v(p) = 13*p + 210. Let g(j) = 5*o(j) - v(j). Determine a*c(k) + 4*g(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and -1433.9.\nAnswer: -1432.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, 9\/5, -0.3 in increasing order.\nAnswer: -0.3, 9\/5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 11, d: 1, r: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8849*m**3 - 16*m - 16880*m**3 + 8035*m**3.\nAnswer: 4*m**3 - 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 6:04 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of -c**7\/21 + c**6\/60 + c**5\/10 - c**4\/24 + 8*c. Suppose i(w) = 0. Calculate w.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 18526 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -87 - (-49 + 50 - 81)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/((-376)\/(-380) - 1). Let d = h - 40. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3 + 11 = 0. Suppose -l*y + 162 = -13*y - 5*f, -150 = -y - f. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13172776 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: Let f(p) = -p**3 - 7*p**2 + 6*p - 6. Let l(t) = -25*t - 183. Let v be l(-7). Give f(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(126) - (sqrt(126) + 1*sqrt(126)))*6 - sqrt(126))\/(sqrt(36)\/sqrt(64)))\/(-4*-1*sqrt(567)*2).\nAnswer: -7*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**2\/7 - 1544*i\/7 = 0. What is i?\nAnswer: 0, 772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-26)\/(-39))\/((-8)\/(-96))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i - 476 = -1220. What is the tens digit of (-3)\/(1*(-4)\/i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 - ((2 - 2) + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5361986 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 + 10*z**2 - 5*z - 10. Give n(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1482 by 26.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**4 + 6585*k**3 - 19725*k**2 + 19715*k - 6570.\nAnswer: -5*(k - 1314)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (30\/(-12) - -4)\/(3\/(-52)). Let a be (x\/39)\/((-4)\/(-6)). Let c be (15\/9)\/(5\/(-30) - a). Solve 0 = -c*r + 6*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssss. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(325)*-1)**2 + -1 - (3 + -5*sqrt(325))).\nAnswer: 25*sqrt(13) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.9808 - -0.0668. Let q = -0.086 + g. Let r be (0 + 0)*(0 + 1). Which is the second smallest value?  (a) 0.3  (b) -1\/7  (c) q  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 + 7*d**2 - 12*d + 13. Give y(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbrbbbbbbbb. What is prob of picking 4 b?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 3*s = 1, -h - 2*s - 14 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -59 - -866. Is 25 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(117) + -5))**2.\nAnswer: -480*sqrt(13) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -16.106 or -0.032?\nAnswer: -16.106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wsww. Give prob of sequence wwws.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 + 23 + 3*s - 4*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 + 7*f**2 + 3*f + 5. Let o be j(8). What is the tens digit of (36\/14)\/((-5)\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -7*b**2 - 20. Let w(y) = -3*y - 28. Let c be w(-14). Let q(t) = -4*t**2 - 10. Let i(v) = c*q(v) - 6*x(v). Differentiate i(f) with respect to f.\nAnswer: -28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 8*b**2*o - 14*b**2 - 3394*b + 6558255*o wrt b?\nAnswer: 16*b*o - 28*b - 3394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**2. Suppose -2*d - 5 = 4*j - 113, 34 = 2*j - 4*d. Let u(w) = j*w - 22*w - 87*w - 38*w - 16*w. Give u(a(r)).\nAnswer: -276*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 362428 and 51.5?\nAnswer: 362376.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -945, -1754, -2427, -2964, -3365?\nAnswer: -3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 51535 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 696032 and 192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 6  (c) -1  (d) -0.92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 PM and 6:24 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -6085929, -12171856, -18257789, -24343728, -30429673, -36515624, -42601581?\n\"Answer: -3*z**2 - 6085918*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18359471.\nAnswer: 13, 31, 45557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -56.15 + -127\nAnswer: -183.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n. Let a(y) = -1194*y + 4. Let j(v) = -2387*v + 9. Let c(q) = 9*a(q) - 4*j(q). Give i(c(m)).\nAnswer: 1198*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -404*d**2 + 75 with respect to d.\nAnswer: -808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 55*s - 67*s. Solve -4*c + s = -0*o - 5*o, 3*c = 4*o + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 493818 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -16\/407 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 + 4)*(-642 - 1480 + 145)*(5*p - 4*p + p).\nAnswer: 3954*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -9*q**4 - 124*q**3 + 469*q**2 - 404*q + 68 = 0?\nAnswer: -17, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 21*s**2 - 24*s + 53. Determine b(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = s + 86. Let z(n) be the first derivative of s + 0*n - 1\/2*n**2. Determine z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -26*v - 8. Let o be z(2). Let r = o + 75. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -14\/4180695 and 59\/6?\nAnswer: 8361390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 56*s - 69. Let y be i(3). What is the highest common factor of y and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -2\/5, 4, 11.46, 2\/15, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.043 in -3, 2\/5, 96051, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1008) + 3)*-6 - (sqrt(1008) - (1 + 3*sqrt(1008))))**2.\nAnswer: 1632*sqrt(7) + 16417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6083 is divided by 156.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of -w**4\/8 - 3*w**3 - 33*w**2. Let j be l(-8). Solve j = 4*o - 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 10*m**2 - 63*m - 83. Is t(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(z - z + 2*z**4) + (2*z + z - 5*z)*(4*z**3 - 3*z**3 - 3*z**3).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2370\/11 - 22523\/110. Let f be (-60380)\/3696 + (-6)\/(-33). Let c = f + 65\/28. Calculate the common denominator of c and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*k + 7*k - 8 + 7 - 23*k.\nAnswer: -107*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m\/m**(-1\/3)*m*(m\/m**(-2)*m)\/m*m**5\/m*((m**(-2\/7)\/m)\/m)\/m assuming m is positive.\nAnswer: m**(148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 4*s + 51. Let p = -1 - s. Let z = 70 - p. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -532*q**4 + 152*q - 2 wrt q.\nAnswer: -6384*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 254556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 501 + -501. Suppose m = -3*f - 3*r + 1308, -8*r = -4*r - 20. What are the prime factors of f?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-35)\/6)\/5 + 4\/8. Sort 1\/4, w, 22 in descending order.\nAnswer: 22, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17?  (a) 2\/5  (b) -154  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20529.4 milligrams to tonnes.\nAnswer: 0.0000205294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.377895 * -141\nAnswer: -53.283195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -30+1.3\nAnswer: -28.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of f**10\/30240 - f**9\/3780 + f**8\/1344 - f**7\/1260 - f**4\/6 - 9*f**2. Let o(u) be the second derivative of q(u). Factor o(j).\nAnswer: j**2*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -336 - -339. Factor 2\/11*w**5 + 0 - 2\/11*w - 4\/11*w**2 + 4\/11*w**4 + 0*w**k.\nAnswer: 2*w*(w - 1)*(w + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 4:59 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81406564?\nAnswer: 2, 19, 1071139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 320297\/38 + -8428. What is the common denominator of i and 83\/14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 14 = -3*d, 2*f + d = 2*d + 7. What is the closest to 0 in 0.3, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (114\/(-135))\/(-1 + 5). Let g be (-2)\/(-6) - (-44)\/(-72). Let r = g - v. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((3 + -3)\/4)\/3)\/(-1). Suppose -11*r + 18 = -2*r. Let d be 2\/7 + (-1)\/(-21). Which is the biggest value?  (a) l  (b) d  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2)*(-11*f + 48457 - 48457).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 25 + 105. Suppose 5*t - 4*w + 0*w - y = 0, -5*t + 3*w = -70. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 18, 36, 66, 108?\n\"Answer: 6*l**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(5\/3)\/(c*c**(1\/7)*c) assuming c is positive.\nAnswer: c**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1059 + 2117\/2. Do 229 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of -q**4\/12 - 3*q**3\/2 - q**2. Let s(h) = 4*h**2 + 5044 - 2522 - 2522 - 5*h**2. Determine s(j(o)).\nAnswer: -4*o**2 - 36*o - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4950.248 centimeters in millimeters?\nAnswer: 49502.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.8 + 2.8. Let p = -1.6 - 0.4. Which is smaller: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1434*b + 1450*b - 240 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d + 7*d + 5*d + 140 = 0. Let t(q) = -q**3 - 8*q**2 - 6*q + 9. Let j(k) = -k**3 - 8*k**2 - 5*k + 8. Let i(b) = -4*j(b) + 3*t(b). Determine i(d).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + 0. Let k be y*5 + (-12 - -8). Let a(r) = -r**3 + 14*r**2 - 7*r + 13. Is a(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -5158*f + 51583. What is d(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 384*i - 1859 + 347 = 330*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3991*n**6 + 2*n**5 + 54146*n**2.\nAnswer: 478920*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-16)\/(-12))\/((-2)\/(-12)). Let j be 1\/(1*2\/b). Let i be (-44)\/(-16) - (-2)\/8. Solve 3*u - x = -3*x + 3, -i*u - j*x + 9 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of 0*y**5 - 1\/168*y**8 - 17\/24*y**4 - 6*y**2 + 0*y**7 + 0*y**6 + 0*y + 0 + 0*y**3. What is the second derivative of u(f) wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**3 - 3*j**3 + 4*j**3 + (-3 + 3 - 2)*(-j**3 - 2*j**3 + 2*j**3) + 2*j**3 - 8*j + 6*j + 4 + 3.\nAnswer: 6*j**3 - 2*j + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2*m - 70 = -5*y, -m + 5*y = -14. Solve -5*d - 1 - m = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -895\/33 - -192\/11. Do -11 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = -6, -d + r + 54 = -2*d + 11*r + 70 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 7:53 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r - 2*r + 5*r + (-2*r - 3 + 3)*(-7 + 4 + 2) + r + 0 + 0 - 3*r + 2*r + 0*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.344 minus -19792?\nAnswer: 19791.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 64758264503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 l when four letters picked without replacement from nnynnnylnnynnlnnn.\nAnswer: 22\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 4*d - 296 - 438 = 0, 3*v = -5*d + 743. Suppose 29 + v = 5*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of 3784*h**5\/5 - 1341*h**2\/2 - 1197. Find the second derivative of f(b) wrt b.\nAnswer: 45408*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2023, -2027, -2031, -2035, -2039?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 95135 (base 12) to base 6\nAnswer: 4104505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/11, 2\/5, 192, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11.88 - -0.12. Let k = 258 + -269.5. Let x = k + q. Which is the nearest to 2?  (a) 0.3  (b) 4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.144243 - -2.0492. Let l = 0.095 + x. Round l to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3529579 > 3529587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 175 = -81. Suppose 2*g - s = -2*g. Calculate the remainder when 61 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-4) - (-18)\/(-12). Let n be 0\/(-4 + (d - -2)). Suppose -g + 3*g - 16 = n. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 13bfe2 - -b?\nAnswer: 13bfed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + -1. Let z = 5.2 + -244.2. Let x = 234 + z. What is the nearest to q in 5, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55476, -56392, -57308, -58224, -59140?\nAnswer: -60056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16791217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 28\/((-28)\/(-7)) + -3. Solve 0 = 4*s - 5*s + l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l*l*l**(-3\/11))*l)\/l**(-2\/29)*(l**7*l*l)\/l**(2\/13) assuming l is positive.\nAnswer: l**(42249\/4147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 + 143*a + 2762. Calculate z(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3303 and 1101?\nAnswer: 3303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (234\/27 - 14)*6\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2875.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 52512 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-10) + (-306)\/(-45). Let c = v - -2. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 90256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -12660942280.74?\nAnswer: -12660942277.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 319958301?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ioororojjjrkuok. Give prob of sequence ijok.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 + -2)*2\/(-4). Suppose -5*o - 4 + 24 = t. Sort 17, -4, o in ascending order.\nAnswer: -4, o, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -3*n - 2*v, -n - 4 = 3*v - 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 288*j**3 - 4*j**2 + 4*j + 16. Let k(f) = f**3 + f**2 - f - 4. Determine -8*k(z) - 2*x(z).\nAnswer: -584*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + 24\/(-5) + (-8 - -12). Let 0*p - 1\/5*p**2 + h = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**0\/a)\/a**(-12)*(a*a**(-5))**(-4))**(-1\/19) assuming a is positive.\nAnswer: a**(-27\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -53*b**4 + 8*b**3 - 4*b**2 - 8675?\nAnswer: -212*b**3 + 24*b**2 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 3*d + 9 = 3*z, 2*z = d + 1. Suppose 0 = -d*b + b. Are b and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-4) + -1 - -2. Let m = -79\/12 + s. Let v = 4169\/4 - 1025. Calculate the common denominator of m and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 174820 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2596903 and -3?\nAnswer: 7790709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (-56)\/12)\/1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v**3 + v**2 + 22*v - 47. Let n be w(2). Sort -2\/7, 0.5, n, 1\/3, -9 in decreasing order.\nAnswer: n, 0.5, 1\/3, -2\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 29, 114, 249, 428, 645, 894, 1169?\n\"Answer: -w**3 + 31*w**2 - w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*o - 4*o - 5*o - 30*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-65089 + 65089 - 408*i**3)*(45*i**2 + 32*i - 32*i).\nAnswer: -18360*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 23 + (16 - 12 - -7) - 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2.6, -1\/2, -2\/7, -2\/3?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-93)\/(-21) + 8\/14. Suppose -3*k + 4*b + 73 = -51, -o*k = b - 176. Calculate the highest common divisor of k and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(153))\/sqrt(9) + -4*-2*sqrt(17) + 0.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1d78a (base 14) to base 4.\nAnswer: -102130332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-144)\/4*41\/((-16523)\/(-31))?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**2)**(2\/45)\/(t*t*(t*((t\/t**(-1))\/t)\/t*t)\/t)**35)\/(t*t**(2\/5)*t*t**(-1\/3)\/t)**(-2\/21) assuming t is positive.\nAnswer: t**(-2201\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*b*o**4 + 134*b*o**2 + 13*o**6 wrt o.\nAnswer: 72*b*o + 1560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(114)*-2*-5*-6)\/((sqrt(660)\/(sqrt(22)\/sqrt(2)))\/(3*2*sqrt(10))).\nAnswer: 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23301 + -121?\nAnswer: 23120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 251*v**2 - 98*v - 329*v**2 - 1088*v**2 - 270*v**2 wrt v.\nAnswer: -2872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 AM and 3:31 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 380 and 259800.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -427.2?\nAnswer: 42.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -1 - 1\/18*q**4 + 0*q - q**2 - 1\/180*q**5 - 2\/9*q**3. Let u(l) be the second derivative of n(l). Factor u(z).\nAnswer: -(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 371641, 1486278, 3343999, 5944798, 9288669, 13375606, 18205603?\nAnswer: 23778654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 + -87?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-14)*0\/(-44 - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3050363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of -3*d**5\/80 + 279*d**4 - 830304*d**3 + 1235492352*d**2 + 291*d - 11. Determine s so that w(s) = 0.\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227.39 times 0.8?\nAnswer: 181.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -159 - -161. Suppose 4*p - 5 - 3 = 0. Suppose -5*x - 57 = 3*g, -p + 7 = -x + g. Let v(o) = o. Let t(c) = 4*c + 1. Determine l*t(m) + x*v(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3211 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 936.8792 millennia?\nAnswer: 93687.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 - 42*q**2 - 89*q + 47. Let d be c(44). Let b = 26 + -1. Solve 2*j + a - 4 = 0, -3*a - d = -4*j + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45783159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 9*u**3 - 7*u + 8. Let a(r) = -4*r**3 + 4*r - 4. Suppose 13 = 4*g - 7. Let h(w) = g*a(w) + 2*s(w). Factor h(f).\nAnswer: -2*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(99) + -2 + 3 - (-3*(sqrt(99) + 1) - sqrt(99)))**2 + -3.\nAnswer: 120*sqrt(11) + 2492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 50757686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 387 - -631?\nAnswer: 9b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -109936.557 rounded to the nearest one thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qehxhxhxqhxqehx. Give prob of picking 2 x and 1 e.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2. Let k(m) = m**2 - m + 1. Let u(y) = -6*y**2 - 8*y + 8. Let t = -8 + 16. Let s(r) = t*k(r) - u(r). Calculate 12*j(l) - s(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**3 + f - f + (-4*f**2 - 2*f + 2*f)*(-3*f - f + 2*f) + f**3 + 4*f**3 - 3*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56 + 56. Suppose l = 5*x + 3*x - 40. Suppose -a + 414 = 5*k - 777, -x*k - 4*a + 1179 = 0. What are the prime factors of k?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -699 divided by 1?\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (18\/54)\/((-1)\/3). Calculate the common denominator of (-4)\/(24\/j)*(-111)\/2 and 35\/87.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*y + 14*y - 24 - 28*y to the form m*y + l and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 265409983, 265409985, 265409987, 265409989, 265409991, 265409993?\nAnswer: 265409995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -418, -435, -440, -427, -390?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**2 - 2*v**2 + 5*v**2 - 3*v**2. Let s(w) = w. Determine s(k(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j + 3*j + 0*j + (0 + 3 - 2)*(4*j - 3*j - 3*j) - 590 + 296 + 296 - 45*j as x + f*j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 399884, 399868, 399828, 399752, 399628, 399444?\nAnswer: 399188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 357.1552l to millilitres.\nAnswer: 357155.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -56*a + 52*a - 4*q + 52, -7*a = -5*q + 41 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3  (b) -2  (c) -9  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.579 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-one quarters of a century in months?\nAnswer: 18300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -5  (b) -1\/13811  (c) -719  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 4*g + g - 25, 0 = -2*g - 2*i + 18. What is the greatest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3838, 12664, 27368, 47944, 74386?\n\"Answer: -q**3 + 2945*q**2 - 2*q + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -326.\nAnswer: -5\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -235, -2083, -7099, -16867, -32971, -56995, -90523, -135139?\n\"Answer: -264*t**3 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001411605819 to seven decimal places.\nAnswer: -0.0014116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.0719 times -0.09\nAnswer: 0.006471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21.6 - 10.7. Let x = 10.6 - b. What is the third biggest value in x, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.5, -5, 0.1, -2.24?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2031 + 2354. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/((-45)\/(-59850)*35)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -9*r - 11. Let i(f) = 5*f + 5. Let u(w) = 4*c(w) + 7*i(w). Determine u(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*u**2\/5 + 5314570*u - 6643212\/5.\nAnswer: -2*(u - 3321606)*(4*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 5*v**2 + 6*v + 11. Let z(n) = -2*n**3 + 11*n**2 + 13*n + 24. Let r be (-35)\/10 - -3 - (-60)\/8. Let s(g) = r*w(g) - 3*z(g). Calculate s(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 22458, 22454, 22436, 22398, 22334, 22238, 22104, 21926?\n\"Answer: -g**3 - g**2 + 6*g + 22454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (36\/(-42))\/((-18)\/(-210))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 21*m - 1. Let i be y(-1). Is 127\/3 + i\/(-33) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*v**5 + 2*v**4 + 1244*v.\nAnswer: 100*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -253033?\nAnswer: -253034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*g - 52 = 56. Let h = g + 640. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 - f**2 - f. Let x be n(0). Let z = -6 - -6. Let j be (z + -1)\/(1\/(-2)). Solve x = j*t - 4 - 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - n + 15 - 5, -5*g - 5*n = 0. Suppose 10 = -g*y - 0. Let d be (12\/15)\/(y\/(-25)). Calculate the highest common divisor of 4 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13954\/194785 + 1123344025297\/26685545. Let o = z + -42096. What is the common denominator of o and 34\/11?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43542 (base 6) to base 5\nAnswer: -143123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s. Let z(j) = 4*j**2 + 22*j. What is c(z(w))?\nAnswer: 8*w**2 + 44*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 12, b: 1}. What is prob of sequence fff?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x**(-4)*x**(-4\/7)*x*(x\/x**(1\/3))**33 assuming x is positive.\nAnswer: x**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -62*g + 1. Let t be r(1). Let o = t + 62. Let h be 1\/11*(o + 1). What is the nearest to h in -4, -1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-5 + 2 + 0 + -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4*(1\/(-8))\/(198\/(-72))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = -3*h - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27091 by -14.\nAnswer: 27091\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*m - 3*m + 1 + m - 3*m - m + 0*m + 0*m + m - 2*m - 4*m + 3*m + 0*m + (-1 + m + 1)*(2 + 4 - 5) + 2*m - 1 + 1 in the form n + l*m and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 > -9509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(1*sqrt(950) + sqrt(38)))\/(sqrt(10)\/(sqrt(20)\/sqrt(4)) + sqrt(10)\/(sqrt(80) - sqrt(5))))**2.\nAnswer: 13851\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.724747 - -0.424747. Suppose -2*l + 18 = 58. Put l, 1, v, 4 in descending order.\nAnswer: 4, 1, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 8 - 1)*(-57*j**2 - 38*j**2 + 19*j**2) - 21*j**2 - 16*j**2 + j**2.\nAnswer: -340*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(1*3) + 1992\/(-1494). Is l at most 3\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4034*g**2 - 4*g. Let a(s) = s. Calculate z(a(b)).\nAnswer: 4034*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + a = 0, -47*g + 43*g + 13 = 2*a - 4 + 7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**2 + 2*n - 22. What is the remainder when h(-10) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7154 divided by -146.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*j**3\/4 + 91*j**2\/4 - 123*j\/2 + 54.\nAnswer: -(j - 3)*(j - 2)*(11*j - 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 AM and 7:01 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-8) + 147\/28. Let x be (-1 - 0)\/((-4)\/8). Suppose -2*t - 6 = 2*d, -d - x*t - 2 = 1. Which is the second smallest value?  (a) d  (b) r  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 39 - 57. Suppose -3*t = -7*t + o. Let v be 4\/t + (-2)\/6. Sort -5, v, -9 in decreasing order.\nAnswer: v, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 - -16. Suppose t = -x*k - 3*t + 164, 0 = k - 5*t - 56. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -2.99999958. Round j to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 633 minutes after 12:54 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is 7204 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: Let x(o) = o + 4. Let v be x(0). Suppose 5 - v = h. Let z = 1 - h. Solve z - 3 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48487791 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 1:11 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 + 44)*240\/576?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7\/2))**(-44) assuming f is positive.\nAnswer: f**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -8*i**2 + i - 7. Let a be y(-3). Let g = a + 88. Solve -7*z + z = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 9) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/17  (b) 0  (c) -4  (d) -831\/5  (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(7) - (sqrt(21)*-2)\/sqrt(3)))**2 - (4 + -2*sqrt(1008))**2.\nAnswer: -2473 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-40))\/(36\/(-120)). What is the closest to q in -1\/3, -27, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10618 is divided by 180.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 16*v + 116. Let m be a(-7). Solve 0 = 2*d + h - 4 + 10, -2*d - m*h - 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + (8\/2 - -2). Let q(i) be the second derivative of -1\/12*i**4 - 2*i + 0*i**2 + 0 + 0*i**x. Let a(p) = -2*p. Determine q(a(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252) + (sqrt(252) + (1 + sqrt(252))**2*6 - sqrt(252)) + -1 + sqrt(49)\/(2*sqrt(7)) - ((sqrt(7) - ((3*sqrt(7))**2 + -3)) + 4*sqrt(700))*6.\nAnswer: -335*sqrt(7)\/2 + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 510284.8t?\nAnswer: 510284800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1966)\/(-35) - 8\/14. Let l = 58 - q. Factor -2\/5*g - 8\/5*g**4 + 0 - 18\/5*g**3 - l*g**2.\nAnswer: -2*g*(g + 1)**2*(4*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 3087  (b) -0.06  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 240 and 887790.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(5\/7))\/g**(6\/11)*g**4\/g*g*(g\/g**(-2\/27))\/g)\/((g*((g*(g\/g**(-2))\/g)\/g)\/g)**38\/(g**(-2))**(-36)) assuming g is positive.\nAnswer: g**(2584\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 2*r**3 - 5*r**4 - r**3 + 3*r**4)*(2*r + 0*r - r)*(-7 + 10 - 5).\nAnswer: 4*r**5 - 2*r**4 - 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, d: 4, s: 2, z: 3, c: 2, f: 2}. Give prob of sequence tzds.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 413520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + 10101?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -138 or -143?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, -31, -92, -183?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of b**3\/3 + 7*b**2 + 15*b - 6. Let q be y(-13). Solve 0 = q*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 760819.5ns?\nAnswer: 0.0007608195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 26351963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 12) + (29 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of d**8\/28 - 7*d**4\/24 - 15*d**2\/2 - 12*d. Let m(f) be the first derivative of p(f). Find the second derivative of m(l) wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 9 - 30 + 18*m**3 - 17*m**3 + 13*m - 17*m**2. Let x be o(16). Let r = 99 + x. What is the greatest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 5. Let f be 6\/18 + (-10)\/w. Is f\/6 - (-510)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 2287222156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x - 1 + 1)*(-3*x**4 + 0*x**4 + 4*x**4).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 98.5, -1, -0.5 in decreasing order.\nAnswer: 98.5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(7)*1 + sqrt(7) + ((sqrt(49) + (sqrt(98)\/sqrt(2) - sqrt(49)))\/sqrt(7) - sqrt(7) - sqrt(7)))*-3)**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8 - (-399)\/49)\/((-4)\/(-14)). Let t = 0.4 - -0.1. What is the closest to h in 4, 0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 - (177\/(-45) + (-9)\/(-15)). Let y = -610\/7 - -7944\/91. Suppose 0 = -3*r + 9 + 6. Which is the nearest to k?  (a) 0.2  (b) r  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.197871538 + 0.6.\nAnswer: 0.797871538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-219)\/584*(-12)\/9. Suppose a*j**2 - 19\/2*j + 9 = 0. Calculate j.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.1615602 tonnes?\nAnswer: 161560200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyyxxyyxyxxyy?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**(-3))\/r)**46)**(-31) assuming r is positive.\nAnswer: r**4278","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + 3*g + 105. Let t(l) = -3*l**2 - l. Let x be t(-1). Let h = x - -9. Calculate the greatest common divisor of g and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 64 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -8*z**3 - 11*z**2 - 6*z - 17. Let q(o) = 3*o**3 + 4*o**2 + 2*o + 6. Let x be ((-9)\/(-21))\/((-12)\/(-308)). What is x*q(a) + 4*g(a)?\nAnswer: a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5333832 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*a + 27 + 166 = 17. Solve a*l = -61*l + 360 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -u - 0*u. Is u bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - -1403922?\nAnswer: 140391b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-75)\/10 + 5)*-1. What is the nearest to 1\/2 in f, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -37*j**2 + 5*j - 4. Let t be o(2). Let p be -4*6\/16*2. Let v be t\/(-4) + p\/6. Solve v = 4*l - d + 14, -2*l + 5 = 5*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6700 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23 + 24. Let v(c) = 2*c - 1 - q + 2. Let t(a) = 14*a. Calculate v(t(s)).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32171, 32159, 32147, 32135?\nAnswer: 32123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 3 + 1)*(3 - 3 - d) + 28 - 6*d - 28)*(48*d + 12*d - 14*d - 6).\nAnswer: -138*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -202020 - -1?\nAnswer: -202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2373136.\nAnswer: 2, 83, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -1\/5, 4 in descending order.\nAnswer: 4, 2\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 107352 by -6.\nAnswer: -17892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.10605162741979 - -2\nAnswer: 1.89394837258021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n**2 - 98. Let t(w) = 135*w. Give c(t(i)).\nAnswer: -72900*i**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*81 - 12*1\/4. Suppose -11*o = -t - 1040. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) - ((sqrt(432) - (4 + sqrt(432))) + 4))**2*5.\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -61, -63, -107, -217, -417, -731, -1183?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1067 - -23457\/22. Let q(z) = z**3 + z**2 + z + 8. Let m be q(0). What is the common denominator of (-1)\/(-10)*860\/m and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -459.3 - -469. Let g = w + -13.7. Which is the closest to -0.1?  (a) 4  (b) -4\/7  (c) g  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 107 * 0.1\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d + 3*i + 78 = 2*d, -3*d + 2*i - 50 = 0. Let y(t) = -4*t - 67. Let u be y(d). Differentiate 35*s - 6*s + 20 - 6*s - u*s with respect to s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2596210\/149 at least 17425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 108 and 83457?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1862 and 10211355.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4861923768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30 - -34. Factor -r*p**3 + 2*p**4 + 2322*p - 2322*p.\nAnswer: 2*p**3*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/22, 3\/4, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzg when three letters picked without replacement from {g: 9, z: 7}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8824)\/172068*3\/(-2).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -24, -3, -2\/25, -19, 16.\nAnswer: -24, -19, -3, -0.4, -2\/25, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-14) - 2\/(-105)*-5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12.519 and -1.09.\nAnswer: -13.64571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5142, 8875, 12594, 16305, 20014, 23727, 27450?\nAnswer: 31189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 552, 0.118, -0.5 in descending order.\nAnswer: 552, 0.118, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 + 9*q**2 + q - 13. Let d be k(-9). Are d and -24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.5, 10, -20\/3, -2.\nAnswer: -20\/3, -2, -0.5, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150469 is divided by 172?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -63 - -32.9\nAnswer: -30.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.3 - -0.3. Let w = 959 - 960. Let v = l + w. Which is smaller: v or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*j + 3*j + 16. Suppose -17*n = -24*n + 35. Solve -j*v + 14 = 4*g - n*v, 0 = 2*g + 3*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 9*h**2 + 21*h - 5. Let z be q(-11). Let m be (z\/7)\/(36\/168). Suppose 3*l + m*i - 15 = i, l = -2*i + 7. Solve -2 + l = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -52\/5. Which is the second biggest value?  (a) v  (b) 0.5  (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + p**2)*(14*p**3 + 4*p**3 - 6*p**3).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 64 + -64.1. What is the nearest to t in -0.4, 4, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -592, -730, -418, 344, 1556, 3218, 5330?\n\"Answer: 225*w**2 - 813*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -1 + 0 + (0 - 52) + 227 + -227\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 < -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -139 + 143. Find the second derivative of -73*c**3 - 12*c - g*c**3 + 25*c + 23*c wrt c.\nAnswer: -462*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151\/(28992\/288)*(-1)\/((-9)\/(-660))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*m = 12. Suppose -s + 96 = s. Suppose 5*z = -s + 333. What is the remainder when z is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 21 - 3)*(0 - 2 + 1)*(3*j - 1 + 1)*(-29*j + 29*j - 2*j**2) as v*j + c*j**3 + y*j**2 + w and give c.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -139, 5, -4, 3, 0.5, 6 in increasing order.\nAnswer: -139, -4, 0.5, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -297 - -6833\/23. Sort n, -5, 0.5, 2\/11.\nAnswer: -5, n, 2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b - 2. Let s be p(2). Which is smaller: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-5 - (-1 - 0)) - -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q - 1717 = 4*q - 331. Calculate the remainder when 329 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167604.\nAnswer: 2, 3, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.6 + -1.6. Let s = 2 + y. Let h be (-3)\/(-6)*(4 + 4). What is the closest to s in h, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 990843.1 years in decades?\nAnswer: 99084.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-4))**(-2\/3)*x\/(x*(x**(-3\/2)*x)\/x)*x**(-3) assuming x is positive.\nAnswer: x**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -3\/13  (c) -0.5  (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 349254 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/3)*(i\/(i\/(i**(14\/5)\/i)*i)*i)\/i*(i*i**4)**(1\/8) assuming i is positive.\nAnswer: i**(251\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102305524.\nAnswer: 2, 17, 1504493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(891) - (sqrt(891) + 0 - sqrt(891))*6)**2 - (-4*(sqrt(891) + (sqrt(891)*2 - sqrt(891)) + sqrt(891)) - sqrt(891))).\nAnswer: 351*sqrt(11) + 2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) -1  (c) 382  (d) 0.2  (e) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4 - (-1 - -3)) + 58. Let x(a) = 0*a**2 + w - a**2 + 72. Let b be x(0). Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 13*q + 1975. Let t(y) = -8*y. What is t(a(h))?\nAnswer: -104*h - 15800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 10*b**2 - 7*b - 2. Let q(p) = 6*p**3 - 49*p**2 - 36*p - 11. Let c(t) = -11*h(t) + 2*q(t). Let m be c(-11). Round m to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1449156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 i, and 2 s when four letters picked without replacement from vyueieuivsuvsieu.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -227670, -455340, -683010, -910680?\nAnswer: -1138350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1000101110110 (base 2) to base 3\nAnswer: -20010120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 2*p = 48, a = 3*p + 4 - 11. Suppose 108 - 32 = -2*g. Let u = a - g. Calculate the remainder when 109 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1c4 - -5?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 87 = 4*w + 3*m, 5*m = -2*w + 81. What is the third derivative of -3*y**2 - w - 9*y**3 + 48 wrt y?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 500.6 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -93 - -93.5. Which is the nearest to 1?  (a) 1\/4  (b) -1  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.67 plus -0.05467527?\nAnswer: 3.61532473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**5\/l*l**(2\/7))\/(((l*(((l*l**(-6\/7))\/l)\/l)\/l*l)\/l)\/(l\/l**(-8\/5))) assuming l is positive.\nAnswer: l**(306\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1466035240 divided by -73301762.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/1282 and 48\/23.\nAnswer: 29486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 8*c = -56, -1295*v = -1292*v - 5*c - 19 - 31 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 + 465 = s. Suppose -2*i = -4*b - s, -242 = -i - b - 54. Calculate the greatest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 27. Suppose -t - 4*t - 205 = 0. Let j = t + 92. What is the remainder when j is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 24*a**2 + 4.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + j + 1. Let h(o) = -2*o**2 - 21*o - 4. Give -h(u) - 4*z(u).\nAnswer: -2*u**2 + 17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3723 - 5789 = -f, -3*i - 47534 = -5*f. What are the prime factors of f?\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 36 = -3*b. Suppose x = -b*a + 6*x - 90, 0 = -2*a + 4*x - 48. What is a rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 83 + 14*g - 83 in the form d + z*g and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -10. Let k(j) = 11*j - 1. Is k(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -365\/14 - -51\/2. Let q = -0.19 - -0.14. Let v = q - 0.25. Which is the third smallest value?  (a) v  (b) m  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40 and 910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/13, -3\/2, 13843?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(65)\/sqrt(5) - (1 + sqrt(468)))**2.\nAnswer: 4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 6*g**2 + 2*g - 1. Let j be d(2). Suppose -x - z + 25 = 2*z, 5*z = -15. Suppose 2*v - 2 = x. Calculate the greatest common factor of v and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51\/7 - (-6)\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -629?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, w: 3, x: 2, p: 1}. Give prob of picking 1 p and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 309 = 104. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 6 = 12. Let d(z) be the first derivative of z**4\/24 - 5*z**3\/6 - z**2\/2 - 180*z + 245. Let s(m) be the second derivative of d(m). Give s(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/5)\/y)\/y**(10\/3))\/(y\/y**(2\/51))**36 assuming y is positive.\nAnswer: y**(-9976\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.71 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - -454132307?\nAnswer: 454132304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -922, -1845, -2756, -3649, -4518, -5357, -6160?\n\"Answer: w**3 - 930*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 k, and 1 y when three letters picked without replacement from knknynnk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, 4, -22, -1, 122872.\nAnswer: -22, -1, 0, 2, 4, 122872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85879*q - 12 + 85878*q + 85786*q + 85873*q - 343420*q + 12.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -9. Suppose -18 = 3*m - 48. Let r = m - 4. Solve -5*c - k*a + 0*a + r = 0, 0 = -2*a - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1643 - -3?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000000920811 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -42, 9, -9, 1 in increasing order.\nAnswer: -42, -9, -5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 8) + 8 + -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/2630772 and 149\/306.\nAnswer: 44723124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m + 1. Let f be h(-3). Suppose 5*o - 26 = -4*v + 2*v, 0 = o + f*v - 16. Suppose -23 - 5 = -4*b. What is the remainder when b is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 4*k**2 - 16*k + 16. Let a(h) = -h**2 + 4*h - 4. Let l(t) = 18*a(t) + 4*j(t). Factor l(g).\nAnswer: -2*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.33 + -1.33. What is the nearest to 0.1 in t, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40533?\nAnswer: 3, 59, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 5:09 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/15)*o)\/o*o*o*o*o**(-1))**50\/((o**(1\/3))**13)**(23\/3) assuming o is positive.\nAnswer: o**(661\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 106*y**3 + 9*y**2 - 61*y - 37. Is a(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - 18*m + 25. Suppose -3 - 3 = 3*l. Let z(s) = s**2 - 3*s - 3. What is the remainder when u(18) is divided by z(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -5 + -5 + 6 - 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 73 + -71. Let 2\/5*h + 2\/5*h**t + 0 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -30?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -92, -3, -4, 1, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 4*h + 49. Let t be n(-10). Suppose -13 = -2*a - t. What is the greatest common divisor of a and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 244 - -3542?\nAnswer: 4230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-660)\/(-132) - (2 - -1)\/(-3). Suppose 2*p + 4 = 16. Let g be (-2)\/6 - (-26)\/p. Solve 0 = -2*v + 7*v - 5*u + 10, -a = g*v - 5*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/15)\/((-18)\/(-315)). Suppose 5*q - 10 = 3*q. Find the second derivative of 4*w + 10*w**5 - o*w**q + 7*w**5 wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 3*x - 37 = 0, -1603*u + 25 = -1606*u + 2*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1879 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1189 and 30053.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2634 - 1706 + 318)*(2*s**2 + s**2 - 2*s**2)*(0*s + 2*s - 4*s).\nAnswer: 8044*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 156709.9737s in weeks?\nAnswer: 0.25911040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2915 - 2776 + 5691 - 10*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 7489552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 5615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.01 + 2.99. Let f = -160 + 159.6. Put f, -1\/2, x in ascending order.\nAnswer: -1\/2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7393 + -7314. Let w = 0 + -2. Let z(a) = -3*a**3 - 2*a**2. What is the remainder when m is divided by z(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/(-28) - (-114)\/126.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 1003202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 16\/903295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c - 11*c + 12*c)*(0*c + 15*c + 3*c + 8*c).\nAnswer: -78*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100001100 + -100?\nAnswer: -100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(1*-2))\/(30\/120).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*k = -52*k - 2485. What are the prime factors of k?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/65230200 and 76\/2325?\nAnswer: 65230200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 93, 189, 269, 327, 357, 353, 309, 219?\n\"Answer: -x**3 - 2*x**2 + 109*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*i**3 - 51506*i**2 + 51506*i**2 - 4*i**3 - 3*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -104096, -208232, -312374, -416522, -520676, -624836?\n\"Answer: -3*z**2 - 104127*z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1101298876 is divided by 253.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -2*u + 80. Suppose -6*s + u = -2*s. Let w be 2\/2 - (-2)\/(-2). Solve 2*r - j + 13 = w, -s*r + 9 = 5*j - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 43056 and 516876516?\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -6  (b) 160193  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y. Let s(h) be the third derivative of 73*h**4\/12 + 10*h**2 + 11*h. Determine u(s(j)).\nAnswer: 292*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/(-15) + 2\/(-5). Let q = -42.1 + -164.9. Let u = q - -204. Which is the smallest value?  (a) s  (b) u  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 4*x**2. Let h(r) = 8*r**2 + 3*r**2 - 2*r**2 - 3*r**2. Give h(z(j)).\nAnswer: 96*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*d**2*x**3 - 33*d**2*x**2 + 2*d**2 - 2*d*x**3 + d*x**2 wrt x.\nAnswer: -18*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3976*l**2*u + 8580484*l**2 + 34*l*u - u wrt u?\nAnswer: 3976*l**2 + 34*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + f + 2*f)*(7*f**2 - 8*f**2 + 184*f - 508*f).\nAnswer: -f**3 - 324*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 4*c + 18332, 2*c + 22918 = 11*s - 6*s. List the prime factors of s.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of -k**6\/120 - k**3\/6 + 3*k**2. Let w(b) = 2*b**3 + 2*b + 4. Give -3*p(x) - w(x).\nAnswer: x**3 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-657)\/(1 + 1\/2) - -3. Is 110\/(-50)*n\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(2\/7)*p)\/p**(-7))**(13\/5) assuming p is positive.\nAnswer: p**(169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**4 - 45*a**3 + 123*a**2 + 153*a - 594.\nAnswer: 3*(a - 11)*(a - 3)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**3\/5 - 26*d**2\/5 - 11*d - 28\/5 = 0. Calculate d.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18008 + 18011.1699. Round p to two dps.\nAnswer: 3.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6687 = -4*l - 0*u - 5*u, 3*l - u = 5039. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -4424.\nAnswer: 8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 14 - 65)*(-2*z + 0*z + 4*z)*(0 + 0 + 2).\nAnswer: -328*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2001 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13160 + 26325 - 13163 + 4*b**2.\nAnswer: 4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -6*p. Calculate the smallest common multiple of 30 and l(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 7*d**2 + 2*d + 4. Let z be r(-7). Let a(f) = -f**3 - 9*f**2 + 9*f - 14. Let n be a(z). Let j(i) = i**2 + 2. Does 6 divide j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.2640524 tonnes?\nAnswer: 264052400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 957708474 to the power of 1\/2, to the nearest integer?\nAnswer: 30947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 0*c = 4. Let y = 7 + c. Suppose -p = -y*p + 75. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 896 and 573664?\nAnswer: 2294656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 4 = -y. Solve -2*h - 5*w = 0, 0 = -h - y*h + 4*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 319419641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1006176504.\nAnswer: 2, 3, 2609, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -4*q - 22, 2*a - 2*q = 3*a + 4. Suppose 0 = 2*o + 3*o + x - 16, 4 = 4*x. Suppose -5 = o*r + 4*y - 3, 3*y + 27 = a*r. Solve r = -5*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318076 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 63 - 61. Solve -4*w = t*m - 8, 2*m - 2*w + 2 + 14 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h**4 + 969020*h**3 - 62599338000*h**2 + 1347930676123920*h + 2696111757352080 = 0. Calculate h.\nAnswer: -2, 64602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 3 = -5*z + 13, 5*i - 2*z + 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.8 and 124891.\nAnswer: 124890.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 + 4*y - 68. What is the remainder when 723 is divided by o(-12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 - 5*i - 456 + 455 + 2*i + 0*i + (3 - 4 - 1)*(-2*i + 9*i - 3*i) as m + v*i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 t, and 1 g when four letters picked without replacement from {g: 1, a: 2, c: 8, t: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 1\/15  (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -16 + 4*h + 17 + h**3 - 11*h**2 + 4*h - 11*h in the form s + a*h**3 + b*h + n*h**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/53 + -47\/318. Which is bigger: f or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 5)*(-11*r**3 - 12*r**3 + 9*r**3) + 3*r**3 + 3*r**3 - 5*r**3.\nAnswer: -41*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 403553 (base 6) to base 16\nAnswer: 7cdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -12*a**2 + 35*a + 37. What is z(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -52619 < -52274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 681 = m - 2*k, -4*m - 8*k + 2744 = -12*k. Let w = -225 + m. Is w a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -13762, -13768, -13774, -13780, -13786?\n\"Answer: -6*j - 13756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of -o**7\/5040 - o**6\/480 - o**5\/120 - o**4\/3 + 4*o. Let d(v) be the third derivative of m(v). Factor d(u).\nAnswer: -(u + 1)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + 9 = -9. Suppose -i*q - 2*q = 0. Factor 6 - 6 - 5*t**2 + q.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*a = 57 - 1. Sort 5, a, -1000 in decreasing order.\nAnswer: 5, a, -1000","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1048193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 9 - 4*u + 3.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -4*r - 5. Let k(j) = 2*j + 3. Let l(d) = 5*k(d) + 3*v(d). Let c(m) = 13*m. What is l(c(s))?\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 118 = -11*b, -67035*b + 67031*b - 2*x - 72 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 49807712651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -13*b + 503. What is the lowest common multiple of 330 and u(26)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*w**2 + 25*w**2 + 25*w**2 - 82*w**2 + 178*w**3.\nAnswer: 178*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -26 - 1546*p**2 + 1545*p**2 - 4*p + 4*p as x + b*p + n*p**2 and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1029361786 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -141095 by -5.\nAnswer: 28219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 93*-1*-1. Suppose -4 = -3*n + n. Suppose 2*s + m = x, 0*s - 346 = -4*x + n*s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a factor of 14408186\/2639 + (-3)\/((-42)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5410537, 5410538, 5410539?\n\"Answer: m + 5410536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j + 3*j + 11*j)*(2*j - 1 + 1) + (-4*j + 53*j - 9*j)*(-19*j - 41*j + 16*j) as w*j + q*j**2 + i and give q.\nAnswer: -1736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 12:05 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1\/54 - 11\/27. Calculate the common denominator of -34\/27 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 236122000 to the nearest one million.\nAnswer: 236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 673*m**6 + 34*m**5 - 31*m**2 + 520?\nAnswer: 80760*m**3 + 2040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 368.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 PM and 3:53 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254757 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 11*f**2 - 618*f - 1. What is the tens digit of w(64)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 3*w - 3*f - 2633, 5*w = f + 2641. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10856 + 10857. Let g(o) = o**2 - o - 1. Let q(s) = 3*s**2 - s - 2. Give u*q(l) - 2*g(l).\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) 6\/5  (c) 4  (d) 7  (e) -139\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -3*j + 38. Let n be y(13). Which is the nearest to -1?  (a) -2\/5  (b) n  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -10, 2*h + 4*z = -h - 17. Let b be (-339)\/h - (0 + -1). Let v = -65 + b. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 0.07  (b) -0.021  (c) 1  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1576 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 121861\/120 + -1017. Calculate the common denominator of s and 3\/9 + (-556)\/(-48).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*j**2 - 215*j**2 + 72*j**2 + 55*j**2.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 28 = -0. Suppose 3*a = -5*g + 2759, 5*g + 1112 = 7*g + r*a. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 90 + -82. Suppose 0 = -j*d - 3*d. Which is smaller: -7\/16 or d?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(4\/(-20*2)). Does 13 divide (p + -3 + 0)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 47. Let d(z) = 23. Let l(b) = -6*d(b) + 3*k(b). Let r = -13 + 21. Let y(j) = -j + 8. What is r*l(q) - 3*y(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 21*z**2 + 38*z - 2. Let i be a(19). Let x(r) = -4*r**3 - r**2 - 3*r - 2. Calculate the lowest common multiple of 14 and x(i).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-29)\/(-7) + -3 + 100\/35. Suppose b = 8*h - 4*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/3768552 and -115\/628092.\nAnswer: 3768552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q. Let u = 23 - 21. Let v(g) = 4*g**2 - 4*g**u + 6*g**2. What is z(v(r))?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 249, 498, 747?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13215 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 437 = 28. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g**4\/6 - g**3\/2 - 53*g**2\/2 + 703*g\/6 + 143 = 0.\nAnswer: -13, -1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4\/(-54) + (-8494)\/(-1674)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(672) - sqrt(42))\/sqrt(6) - (sqrt(112)*5)**2.\nAnswer: -2800 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 28*a**2 - 11*a. Let k be -6 + 0\/1 - 1. Let u(d) = -9*d**2 + 4*d. Let n(r) = k*u(r) - 2*h(r). What is the second derivative of n(t) wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -682, -716, -780, -880, -1022, -1212, -1456?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 3*t - 288 = 0, 3*s - 283 = -t - 3*t. Suppose 69 + 51 = 5*j + 5*f, -f - s = -4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.9789 rounded to 2 decimal places?\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 0.24.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 26 = -2*j, -250*w + 5*j = -251*w - 29 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18223, 37844, 57479, 77134, 96815?\nAnswer: 116528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.3 or 51.58432?\nAnswer: 51.58432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.181331 to 2 dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + (328905\/(-66) - 0). Let t = x - -4985. Calculate the common denominator of 107\/18 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2233 + 4?\nAnswer: 2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2 - 7*j**2 - 2. Let o(d) = -d + 1. Let r(t) = 8*t - 10. Let n(w) = 10*o(w) + r(w). Let c(q) = -q. Let v(a) = -3*c(a) + n(a). Calculate b(v(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 708597, 709307, 710017, 710727?\n\"Answer: 710*s + 707887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 176, 170, 152, 116, 56?\n\"Answer: -z**3 + z + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*h + 11*h - 100. Suppose -4*g + 3*u - h = -9*g, -2*g + 2*u = 6. What is x in -2*x + 2*x**3 + 3*x**g - 6 + x**2 + 4*x**2 - 2*x**2 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49403539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47071294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*h + 568 = 13*h + 1618 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 16 + 93445883\nAnswer: 93445899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s**3 - 10*s**2 - 3*s - 6. Let w(o) = 5*o**3 + 11*o**2 + 4*o + 7. Let n(f) = 4*j(f) + 3*w(f). Determine n(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*s**4 - 7*s**4 - 2*s**4 + (-3*s**3 + 5*s**3 - 3*s**3)*(0*s - 3*s + s) + (-5 + 4 - 1)*(-1 - 1 + 3)*(2*s**4 + 0*s**4 + s**4).\nAnswer: -22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -37132*p + 393*p**4 + 37132*p + (11*p**4 + 0*p**4 - 2*p**4)*((5 + 0 - 2)*(-1 + 0 + 2) - 2 + 0 + 1) as z*p + f*p**2 + x*p**3 + b*p**4 + h and give b.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*u**3 + 42*u - 42*u)*(-20 + 14 + 11)*(0 + 0 + 6*u).\nAnswer: -750*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -203\/11848320 and -1\/3456?\nAnswer: 35544960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6 + (-1)\/((-2)\/4). Let u = g - 20. Let i = u + 17. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 61*r - 1449. Let s be t(24). Solve 0 = -0*o - 15*o - s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 - 5*m - 5. Let v = 23 - 20. Let y = v + -1. Suppose 0 = -z - 2*n, 4*z + y = 3*z - n. Determine p(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 15*r - 1. Give w(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -18*i**2. Let q(c) = 16*c**2. Let r(n) = 4*q(n) + 3*u(n). Let z(p) = 2*p - 16. What is r(z(y))?\nAnswer: 40*y**2 - 640*y + 2560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-54.2\nAnswer: -27.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1267*o**3 + 1270*o**3 - 3805*o**3 + 1253*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006179 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1109, -0.2518, 2 in decreasing order.\nAnswer: 2, -0.2518, -1109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5064910798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12087 and 21?\nAnswer: 84609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 - (-23 + 21 + -34) - -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -1. Let u(a) = a**3 - 17*a**2 + 3*a - 49. Let f be u(17). Solve 4*k - 2*p + 12 + v = 0, k = -f*p + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/(-12))\/(8*(-21)\/(-384)). Let c = 1 + -1. Let d = 1 - 1.1. What is the closest to 1 in c, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162284671.\nAnswer: 83, 1955237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (((-50)\/(-20))\/(2240\/128))\/(((-240)\/(-7))\/2)\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 0 = -f. Let g(v) be the third derivative of -v**6\/120 - v**5\/20 + v**4\/6 + v**3\/3 + 23*v**2. Give g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 3 + 3*o + 2*o + 2*o - 5*o + 4*o**2. Let q = -405 - -410. Let x(d) = -7*d**2 - 3*d - 5. Calculate q*j(n) + 3*x(n).\nAnswer: -n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 233\/2 - 1627\/14. Factor -4\/7*k + z + 2\/7*k**2.\nAnswer: 2*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2059537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 - 7*z**2 - 6*z - 1. Let u be (2\/4 + -2)*320\/(-60). Give m(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94268 is divided by 248?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -786578441, -5, 0, -1 in ascending order.\nAnswer: -786578441, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 5*q**2 + 2*q + 2. Let g be s(0). Suppose -107 + 643 = g*j. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -87, 0.3, -0.08?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 5*d - 4, 0 = -6*u + u + d + 10. Let k(c) = -u*c**2 + c - c**3 - 2 - 4*c + 1. Determine k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 5 = -3*w + 15, -2*w = p - 15. Let o be (90\/w - 3)\/(5\/40). Round o to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 1 + 4. Suppose -5*s - 20 = 0, -a*l - 4*s + 4 = -0*s. Suppose 8 = -l*d, -3*z - 4*d - d = -116. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tetsept. What is prob of sequence pst?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.17201kg in nanograms?\nAnswer: 24172010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 535*t**2 + 12*t + 6. Let g(d) = -10166*d**2 - 230*d - 115. What is -6*g(o) - 115*l(o)?\nAnswer: -529*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(44) - 2*(sqrt(11) + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xjx when three letters picked without replacement from jxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -4*a, 2*o + 3*a = -3*o + 10. Let u = o + -2. Suppose 0 = -u*x - 12 + 84. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lcpljccplp. Give prob of sequence ccc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-4 + 4 + (sqrt(2) - 2*sqrt(2)))*-1)**2 + ((4 + sqrt(128))**2 - (-2*sqrt(18))**2).\nAnswer: 70 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 12*i**2 - 11*i + 5. Let u(v) = -2*v**3 - 24*v**2 - 23*v + 9. Let l(z) = -5*d(z) + 2*u(z). What is the units digit of l(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -448*k**5\/5 + 144*k**4\/5 + 328*k**3\/5 - 44*k**2 + 42*k\/5 - 2\/5 = 0. What is k?\nAnswer: -1, 1\/14, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 16 = 4*t, 0*t + 4 = t - 5*w. Let r be (t - 3)*-463881 + 1. Let i = -926120 + r. Round i to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of m**8\/336 + m**7\/105 + m**6\/120 - 6*m**2. Suppose u(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 13 = 12. Suppose -3*b + 7*v = 3*v - 8, 4*v + 16 = x*b. Suppose -54 + 4*i + b*i**2 + 54 + 0*i**2 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3*(1*sqrt(864) + sqrt(864)) - sqrt(864))\/((sqrt(96)*-3)\/sqrt(12) + sqrt(16)\/(sqrt(10)\/sqrt(5))).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 5*n - 580. Calculate the smallest common multiple of 18 and n.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/21 + (264\/126)\/1\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/3*(-12)\/(-5) - (-19092)\/2368.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*x + 41 - x**2 + 62 - 103.\nAnswer: -x**2 + 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57098*x**3 + 2*x - 2*x - 57103*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -13233847 + -35?\nAnswer: -13233882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -1\/3, -1, -1\/11, 0.2, 3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of g**2*z**2 - 22034*g**2*z + 2*g**2 - 6*g*z**2 - 2798041*z**2 + 1739*z wrt z?\nAnswer: 2*g**2 - 12*g - 5596082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l. Let i(k) = 58*k**2 + 115*k**2 + 44*k**2 - 60*k**2. Determine i(j(v)).\nAnswer: 157*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8 + 4\/2)\/2. Let x(c) = c**3 + 3*c**2 - 2*c + 3. Determine x(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -2 + -1 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*l**3 + 478*l**2 - 15709*l.\nAnswer: -12*l + 956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 15*s**2. Let v = -47 + 63. Let i(w) = -11*w + 0*w + v*w + 13*w. Give i(n(j)).\nAnswer: 270*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20.5 - 20.6. Which is greater: -156 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert cb869 (base 16) to base 6.\nAnswer: 25511241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from lmmm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -7*k**5\/20 + 2*k**3 - 17*k + 17. Let c(s) be the first derivative of a(s). Find the second derivative of c(b) wrt b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12168)\/3380*(-10)\/(-8))\/((-2)\/(-44))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 708\/7 - 101. What is the closest to -1\/3 in -0.1, o, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50045*x - 64 = 50029*x. Sort 1, -726, 5, x in ascending order.\nAnswer: -726, 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 84  (b) 1.2  (c) -3  (d) -0.1  (e) 13  (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 423 * -0.09\nAnswer: -38.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-13 - 268\/(-20))*(-5)\/(-19). Sort 5\/2, 1, -1, o.\nAnswer: -1, o, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -22*o**2 + 517*o - 80. Give k(24).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1384970043\/8059180 + -2\/402959. Let i = -128641\/4 - -32333. Let m = d + i. Find the common denominator of -127\/18 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 122 and 2728835?\nAnswer: 5457670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m + 10. Let d(t) = 9*t + 2. Let p be 3 + (4 - 5) + 1 + -4. Let q be d(p). What is z(q)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1239, 4948, 11129, 19782, 30907, 44504?\n\"Answer: 1236*j**2 + j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a day in minutes?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - -14. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 13337, -0.32?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -33*x + 3197. Calculate i(100).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16 + -54381374.\nAnswer: -54381390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = 15*l + 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 11, -3 in ascending order.\nAnswer: -3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4011122 + -23?\nAnswer: -4011145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 minus 7940.878938?\nAnswer: -7885.878938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*h - 11*h + 49*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14720*p**2 - 2*p - 5103?\nAnswer: 29440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of -k**3\/2 - 2*k. Let o(i) be the third derivative of 0*i**3 + 0 + 1\/12*i**4 + 0*i - 17*i**2. Determine h(o(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -264 + 1065\/4. Let g(p) = p**3 - 7*p**2 + 5*p + 6. Let k be g(6). Find a such that -9\/4*a**4 + r*a**2 - 7\/4*a**5 + k + 1\/2*a + 5\/4*a**3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6658.299 millilitres in litres?\nAnswer: 6.658299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + -21. Let g = h - -30. Let d = -4844 - -4844. Which is greater: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21084 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*y - 24 + 15 + 9 in the form c*y + v and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -133959 - -520959. Suppose -5*f + 8*f = t. What is f rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38752 plus -374?\nAnswer: -39126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i + 2*i**4 + 2*i + (-3 - 4*i**3 + 3)*(7 + 4*i - 7) + i**4 + 0*i**4 - 2*i**4 + i**3 - i**3 + i**4.\nAnswer: -14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 10*p. Let o(y) = -23*y - 17. Let f(z) = 4*z + 3. Let k(w) = 34*f(w) + 6*o(w). What is g(k(x))?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 16 + 19 = -3*i, 0 = i + b + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1, -5, -9, -13, -17?\n\"Answer: -4*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -87*b + 25*b - 125*b - 182*b.\nAnswer: -369*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17416970, 17416958, 17416946, 17416934, 17416922?\nAnswer: 17416910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5 = 0, 2*i - 186 + 41 = -5*b. Calculate the lowest common multiple of 70 and i.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33 (base 14) to base 3.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -53*d - 74. Let o(s) = -s**3 + 11*s**2 + 12*s - 6. Let k be o(12). Is r(k) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*v + 539 = -18*v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17794473 <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a\/(a*a**0\/a*a*a))*a)**(-1\/4)*(a\/(((a*(a\/a**(1\/2))\/a)\/a)\/a))**(-4\/9) assuming a is positive.\nAnswer: a**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7 - 2)*((-24)\/(-40))\/(3 - 2). Solve -4*k + 3*c = -0*c + 21, -o*k = 4*c - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/105174 and 93\/46744.\nAnswer: 420696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*v + 489 = 1497 + 1181 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 133 + -61. Suppose 4*z - 105 = z. Let m = y - z. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 5 + 0*b + 1 - b. Give s(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 9 = -0*t. Let g = 3 + 1. Suppose -d - 33 = -t*b + g*d, -3*b + 21 = -d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -35*p. Let l(j) = -31*j**2 + 13*j**2 + 12*j**2 + 8*j**2. Determine l(y(t)).\nAnswer: 2450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 745, 1492, 2227, 2944, 3637?\n\"Answer: -c**3 + 754*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) -1\/2  (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -h + 152. Suppose 0 = 4*d - 52 - h. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide (-1)\/(-3 + 4)*-21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 9. Suppose 32*b + 34 + 126 = 0. Sort 1, s, -1, b in decreasing order.\nAnswer: 1, -1, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000008229 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100001100101 - -111010000100?\nAnswer: 11011011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 22053\nAnswer: -44106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1194 - 1883 = -796*k + 196*k + 8911 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 47\/(-282) + (-326)\/(-12). Which is greater: 13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) - (-1 + -2*sqrt(11))) + 0 + 5 + sqrt(55)\/sqrt(245))*4 + 1.\nAnswer: 25 + 88*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1755450405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 7*s**2 - 3*s - 3. Let c be m(-7). Let d = 21 - c. Suppose 0 = -d*j - 6 - 6. Let k(v) = -v**2 - v + 1. What is k(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 0)*(610*z + 359*z - 269*z) - 3*z - 2*z + 4*z + 2.\nAnswer: -1401*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + p**2 - 2*p - 4. Let k be r(-2). Let w(g) = -61*g**3 + 18*g**2 - 3. Is w(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5733839 and 1228?\nAnswer: 22935356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 593 or 1?\nAnswer: 593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -58)\/7 + 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195 a factor of 13783876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1 and -45780153?\nAnswer: 45780154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1081\/505 + -6\/101. Calculate the common denominator of x and 3\/2*(-21)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 17760912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2 - -0.3. Let t = -1.2 - 0. Let q = -6.2 - t. Which is the closest to 1?  (a) 0.2  (b) x  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(68)*-1 - sqrt(68)*-2*-2)\/(-2*sqrt(64)*5).\nAnswer: sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of -t**6\/21 - 10*t**5\/7 - 197*t**4\/14 - 106*t**3\/3 + 1098*t**2\/7 + 2592*t\/7 - 3581. Find u such that n(u) = 0.\nAnswer: -9, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88218 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 356465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**3 - v**2 - 4*v. Let o be k(-4). Does 32 divide (-15 + 21)\/(6\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*p + 4*p - 3*p + (-2 + 3 - 3)*(154 - 151 - 4*p - 2*p) as n*p + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -64*b - 31*b. Solve -9 = -3*x, -4*w + b*w - 5*x = -15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 12 = -18. Let h = -20 + t. Solve -n + h = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7646396 divided by -83113\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, q: 1, o: 2, b: 5, w: 1}. Give prob of picking 2 b.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 80 or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34 + 246. Suppose 4*g = -4*n + z, 0*g = 2*g - n - 100. Calculate the remainder when 98 is divided by g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*x**3 - x + x)*(-2*x**2 + 0*x**2 - 2*x**2).\nAnswer: -8*x**5 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2733211378.\nAnswer: 2, 53, 1489, 17317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3443141 (base 5) to base 4.\nAnswer: 33031120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 7905, 4, 2 in increasing order.\nAnswer: 2, 4, 7905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26571363 - -2379.\nAnswer: -26568984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -7.4273.\nAnswer: -14.8546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2*p + 8 = 4*v, 4*p = -3*v + 6. Suppose p = 12*m + 2*m - 210. What is the remainder when 34 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 522599599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - 5*b + 38, -5*a + 67 - 9 = -4*b - 37 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*z - 2*z + 223872 = 0. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= 11\/628315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 2 + -6 + 4. Suppose 0 = -c + 4*c + 6. Let i = 2 + c. Solve i = -j*m - 3 + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of 3*s**4\/28 - 138*s**3\/7 + 101. Factor c(q).\nAnswer: 3*q**2*(q - 138)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 83 = -197. Calculate the remainder when a is divided by (24\/5)\/(5*30\/500).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-8 + 1374\/12)*4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.4  (b) 0  (c) -3.5  (d) 657  (e) -5  (f) -128  (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 2537?\nAnswer: 3\/2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 5 - 5 - 2*w**2. Let y(c) = -2*c + c**2 + 7 - 7. Let i(g) = 12*g**2 - 27*g. Let a(u) = 2*i(u) - 27*y(u). What is a(z(q))?\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13707 - -31200. Suppose 0 = 7*s - w + 4074. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 11642*o. Let d(m) = 2*m**2. Give d(n(q)).\nAnswer: 271072328*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (488\/(-122))\/(0 + (-32)\/4). Let i = -0.2 + -0.3. Which is the fourth biggest value?  (a) i  (b) 1  (c) 2  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 32489553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15*4\/12 + -1. Suppose 3*y + y + 8 = 0. Let q be 1\/(y + 3) + -1. Solve -r*z - g + 3*g + 26 = q, -g = 4*z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)*2 + sqrt(7))**2*1.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.00242 at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2883, -1362, 159, 1680, 3201, 4722?\nAnswer: 6243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -26967, -107855, -242665, -431397, -674051, -970627, -1321125?\n\"Answer: -26961*w**2 - 5*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -66*y - 474. What are the prime factors of j(-23)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 AM and 2:36 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j - 20*j = -66. Let o(l) be the first derivative of 4 - 2\/5*l**5 + 4*l**2 - 2*l**3 - j*l**4 + 8*l. Factor o(m).\nAnswer: -2*(m - 1)*(m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 257*u**2 + 203*u**2 - 117*u**2 in the form t*u + i*u**2 + l and give i.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3, 9, -4, 0.24, 1\/3, -0.11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 + 11*a**2 + 13*a. Is x(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u**3 + 4*u**3 + 9*u**2 - 2*u**3 + 3*u. Suppose 0*o + 16 = 4*o. Suppose 5*m - 35 = -0. Let q(g) = -2*g**3 - 5*g**2 - 2*g. Give m*q(x) + o*r(x).\nAnswer: 2*x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 251341293 a multiple of 573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 17*y - 1. Let x be (84\/7)\/(-36) - 10\/(-3). Let n(g) = 17*g - 1. What is x*n(m) - 2*t(m)?\nAnswer: 17*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 7*g. Suppose 3*v + 3*u = 8 + 49, 2*u = 5*v - 67. Let k(w) = 9*w**2 + 6*w**2 - w**2 - v*w**2. What is k(d(h))?\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from axdmxhj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**2 - 9*j - 10. Let c be m(8). Let w = 43 - c. What is the units digit of 4 + (w - 2) + 70?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*f - 2*f - 36. Let r(y) = y**2 + 14*y + 46. Let q be r(f). Solve -24 = -4*m + 3*p, m + m = -3*p - q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h**2 - 60 + 6*h + 60 + 10*h**2 = 0. Calculate h.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2*w + 7. Determine k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 * -9\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 12:30 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 11*z - 11. Let o(h) be the third derivative of -5*h**4\/24 + 5*h**3\/6 - 7*h**2 + 1. Determine -6*d(c) - 13*o(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1675.5 - -1676. What is the nearest to 0 in -54.7, t, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.556 - -0.556. Which is the third biggest value?  (a) -143\/3  (b) 0.2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*g - 4 = 3*g, 0 = -3*k + 4*g - 22. Let q be k + 2 + (-14)\/(-7). Solve 5*m = 6*z - 4*z - 12, q*m + 3*z = -20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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 w(c) be the second derivative of -c**7\/21 - 2*c**6\/15 - 10*c. Factor w(x).\nAnswer: -2*x**4*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1505 >= 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*k**5 - 488*k**4 - 1940*k**3 + 8000*k**2 - 3472*k - 2112 = 0. What is k?\nAnswer: -6, -1\/3, 1, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 342423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 8. Suppose 2*t - 3 = o*t. Which is greater: 1\/3 or t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the second derivative of -15*n**8\/56 - 4*n**4\/3 - 9*n. What is the third derivative of g(o) wrt o?\nAnswer: -1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.21 * 1.0821.\nAnswer: -0.227241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 2*j - 10 = 0, 4*y - 4 = 3*y - 2*j. Suppose 2*g + y*u - 12 = 0, -18 = -6*g + g - 2*u. Suppose -v = g*v - 21. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1716*l**2 - 69*l**4 + 974*l + 9*l**3 - 439*l - 535*l wrt l.\nAnswer: -1656*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -9*c**2 - c + 5. Suppose 0 = t + 4*g - 13, -5*g + 5 = -20*t + 25*t. Determine d(t).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 40 + -27. Suppose -f + n = -11. 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: Let w(n) = -4*n**3 + 117*n**2 + 6. Let v(a) = 6*a**3 - 116*a**2 - 7. Calculate -4*v(x) - 5*w(x).\nAnswer: -4*x**3 - 121*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 382\/9 - 42. Let p(c) be the first derivative of -1 - 1\/18*c**6 - 1\/2*c**4 + a*c**3 + 4\/15*c**5 - 1\/6*c**2 + 0*c. Factor p(f).\nAnswer: -f*(f - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 7 = -t, -2*q - 1 = -3*q. What is the common denominator of (-2)\/7 - 491\/(-126) and 4\/12 + t\/(-8)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 3*u - 26. Let i(h) = -4*h + 34. Suppose -22 = -4*f + 6. Calculate the remainder when u is divided by i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 382110 and 151.\nAnswer: 57698610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26 and 9217?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*v - 16*v = -45. Let m(r) = -r**2 - 12*r - 8. Let p be m(v). Let w = -15 + p. Solve -w*u - 4 = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/(12\/9*3\/12). Suppose -153 = d*w - 45*w. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -61*z**2 - 7*z - 26. Calculate h(4).\nAnswer: -1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 6610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 15927690 divided by 1592769?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-15)*7*-3*(-5248)\/1148\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 30 = -0*t. Let v(c) = c + 3. Let i be v(t). Let l be (-10 + 10)\/(i - 0). Solve l = 6*b - b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 689 is divided by 98.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 237 - 238. Suppose 2*u = 12 - 4. Suppose 5*q - 4*q - 6 = 3*b, b + u = q. Sort q, 0, a.\nAnswer: a, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*l = -5*g - 18, 0 = -l + 2. Let z be 3*(2\/g)\/(5\/(-190)). Suppose o - 13 = 6. Calculate the highest common factor of z and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 308\/(-176)*(-4)\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3340999092 to the power of 1\/4, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4058*v**2 - v - 97680 wrt v?\nAnswer: -8116*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 725, 1942, 4347, 8534, 15097, 24630, 37727?\nAnswer: 54982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*c - 66*c + 41*c + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 551 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/1343 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 - -76. Let g be -2 - (-4)\/4*3. What is the remainder when ((-77)\/21)\/(g\/(-24)) is divided by o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -13*l**2 - 363*l + 31. Let k be t(-28). Solve 0 = 3*y + 5*o + 22, 19*y = 15*y - k*o - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/13, 2\/5, 2\/11, -0.5, 0 in descending order.\nAnswer: 2\/5, 2\/11, 1\/13, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) 0.4  (c) -35  (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3626 * -1\nAnswer: -3626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 5227014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*v**2 - 6*v**2 + 5*v**5 + (83*v**2 - 202*v**3 - 83*v**2)*(-3*v**2 + 2*v**2 - v**2).\nAnswer: 409*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of -1\/24*u**6 + 0*u**4 + 0*u + 0 - 5*u**2 + 1\/10*u**5 + 0*u**3. What is the third derivative of i(w) wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1309081001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of -g**3\/6 + g**2\/2 + 8*g. Let x(c) = -c**3 - 12*c**2 + 11*c - 23. Let o be x(-13). Give j(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -122 divided by -29?\nAnswer: 122\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*r*u*w - 46981*r*u + 2968*r*w**2 - 3*w**3 wrt w.\nAnswer: -2*r*u + 5936*r*w - 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3215 + 5697. Suppose 21*y + c - 9181 = 0. What are the prime factors of y?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = -11*z + 17, -2*r + 2*z = -62 + 64 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 533497*f*o**2 + 571305*f*o wrt o.\nAnswer: 1066994*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3647127.\nAnswer: 3, 11, 29, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 51576 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of c**8\/336 + c**6\/72 - c**3 + 8*c. Let w(k) be the second derivative of p(k). What is the third derivative of w(a) wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -871711*c*k*p - c*k + 3*c*p + 2*c - 26601733*k*p wrt c?\nAnswer: -871711*k*p - k + 3*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7490339033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 52, -2\/11, -2 in descending order.\nAnswer: 52, -2\/11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2 + sqrt(704)*-2 + 2)**2 - (-4*-1*(sqrt(11) + 1) + 3*(-1 + sqrt(891)))**2.\nAnswer: -7743 - 190*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2201.14 millilitres to litres.\nAnswer: 2.20114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(3\/4)\/o)\/(o**26\/o))**(-19))**(2\/85) assuming o is positive.\nAnswer: o**(1919\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149*a - 136*a - 2 + 2.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -234949 + -93.\nAnswer: -235042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*r, -y + 4*r + 2 = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22824127 divided by -22824127.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 4 + 1)*(-316*c + 3 - 536*c - 3) + (-c + c - c)*(0 - 4 + 5) as v + q*c and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -6025*t + 24094. Calculate y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -424513 - -368.\nAnswer: -424145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 175621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 11) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1108883\/13 bigger than -85299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of 2*s**5\/15 + 3623*s**2. Let r(h) = -174*h**2. Determine g(r(d)).\nAnswer: 242208*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 173 + 46. Let g = w + -152. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -337*d**2 + 147*d**2 + 124*d**2.\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12199, 12160, 12095, 12004?\nAnswer: 11887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*k**2*u - k**2 + 8644*k + 629571*u with respect to k.\nAnswer: -4*k*u - 2*k + 8644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1009 (base 10) to base 7.\nAnswer: 2641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2275*c - 136501. Determine l(60).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1481*y = 1483*y + 16 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 AM and 12:49 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 375 - 214. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1564, -3128, -4694, -6262, -7832, -9404, -10978?\nAnswer: -12554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1010, -845, -386, 517, 2014, 4255, 7390, 11569?\nAnswer: 16942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 58, 235, 530, 943?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(1*3\/(-4)). Let j be 1*-12*l\/(-6). Suppose -2*c + c - 4*w + 10 = 0, c = 5*w - j. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1202239 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together -42.8 and -10627.\nAnswer: -10669.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 691 = t, t - 586 - 125 = 4*g. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o + 0 + 0)*(-2*o**3 + o**2 - o**2) + (2*o + 382 - 12*o**2 - 382)*(219 + 16*o**2 - 219) to the form c*o + d*o**2 + v + p*o**4 + w*o**3 and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4629895\/7 or -661414?\nAnswer: -4629895\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**3 + 4100*t**2 + 167705*t - 171800.\nAnswer: -5*(t - 859)*(t - 1)*(t + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7.3 + -1.3. Let p = 6 - y. What is the nearest to 1 in -5, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -6. Suppose 0 = 5*s - j*s + 2. Sort 0, s, -5 in decreasing order.\nAnswer: 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38958719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 3*j - 24. Let p be c(10). Suppose -p*u = -5*u - l - 378, u - 382 = 2*l. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 319*x - 585. What is the hundreds digit of y(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2100145 - 131?\nAnswer: 2100014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -737123\nAnswer: 737122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26268 = 144*t + 17340 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k - 2*k**2 - k + (11*k - 11*k + 12*k**2)*(-5 + 5 + 5) to the form q*k + p + s*k**2 and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 - j**2 - j + 1. Let t(f) = -4*f**2 - f + 1. What is -r(a) + t(a)?\nAnswer: -a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44\/(5\/100*5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 (base 10) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + c**2 + c + 41. List the prime factors of x(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**5*r)\/r*r\/r**7)\/(r**(1\/9)\/r)**45 assuming r is positive.\nAnswer: r**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 106  (b) 18  (c) 2\/9  (d) 5  (e) -0.08  (f) 2\/3  (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -249\/5  (b) 1\/2  (c) -16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*j + 7*j = -20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 7 + 1 + 7 + 5*c - 19 - c. What is v(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 95017?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*m + 20*m - 717 + 182 = 2255 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 667554.1 meters?\nAnswer: 667.5541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 155 + -40?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.05, -3, 3, 75, 20\/21 in descending order.\nAnswer: 75, 3, 20\/21, -0.05, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 - 6*d**2 + 2*d**2 - 2*d**2 + 0*d**2 + d**2 - 2*d + d**2 + 2*d + (0*d + 0*d - 2*d)*(d + d + 0*d))*(-2*d + 2*d - 3*d).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 99*d + 30 + d**2 + 4 - 98*d in the form y*d**2 + l + b*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + 1 + 8 + -2. Let l = 10 - w. Calculate the remainder when 2 + 25 + 0 - l is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 57 = -3*h + 72, 5*h = -3*t + 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*d - 3*d - 11*d.\nAnswer: -35*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 43469399 by 648797.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2001203022312 + -2?\nAnswer: 2001203022310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {i: 5, k: 1, l: 4, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ilnrononono. What is prob of picking 1 i and 1 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-26) + 1)*(-67)\/(-268)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 482\/156471 or 1?\nAnswer: 482\/156471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 15\/(-1)*(-46)\/138. Solve -11 = -n + 3*n - 5*y, -n + h = y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/7918 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (2\/6)\/(238\/(-84))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5143331111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b - 7*b + 12 + 5 - 6 - 6*b**2. Let k(y) = -y - 7 + 0*y**2 + 0*y**2 + 6*y + 4*y**2. What is -8*k(q) - 5*v(q)?\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-800)\/6)\/((-9)\/(-344250)). What is y rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*w - 3258720*w**3 + 12*w.\nAnswer: -3258720*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*q - 5 - 7 + q**3 + 6*q + 13 to w*q**2 + r*q**3 + a + d*q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 5*c**2 - 1. Calculate a(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 m, and 1 x when three letters picked without replacement from {x: 2, b: 4, m: 7}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((15 + -1)\/1)\/(6 + -4). Let i(l) = l**3 - 7*l**2 - 2*l + 13. Let y be i(j). Let t = -3 - -2.9. What is the closest to t in 0.1, y, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 60\/2323 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 132009*b**3*t**2 + 2*b**3*t + 13*b**2*t**2 - 6*b*t**2 + 10*t**2 + 15 wrt b?\nAnswer: 792054*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00316022 rounded to four decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 3076066 and 3076066 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of z**6\/180 - z**5\/60 - z**3 + 5*z**2. Let m(g) be the first derivative of p(g). Find the second derivative of m(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1068435 and 1448323.\nAnswer: 65174535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 16*c**2 - c + 17. Let b be t(16). Let p be (-2)\/1 + 5 + b + -2. Let n = 57 + -36. Solve 3*m = -p*m + 3*l - n, 0 = -2*m - 4*l + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*10\/4*2604\/(-186).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -295 - -493. What is the greatest common divisor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 193014197957 take away -0.02?\nAnswer: 193014197957.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/23)\/((j\/j**(-2\/5)*j)\/j))**(-40))**(11\/5) assuming j is positive.\nAnswer: j**(15048\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0993 - -447.0993. Let f = 447.378 - u. Let g = f + -0.4. What is g rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qyyqyyyyyq. What is prob of picking 3 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*r + 9128 + 3027. What is the tens digit of 0 + (-4 - r) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*b + 9*b + 71. Suppose 0 = -h + b - 29. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - h + 3 + 4 = 0, -4*p - h + 9 = 0. Let c = 4 + -4. Suppose -4*w = -c*w - 32. Solve -p*z - 4 + w = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-262)\/6 - (-78)\/(-1755)*-15\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 886817111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.13 - 0.73. Let c = -13.6 - z. Let b = 14.0000011 + c. What is b rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-23)*90\/((-20520)\/44574)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.02, 0.3, -4, -0.14 in descending order.\nAnswer: 0.3, 0.02, -0.14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3.36449 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - q + 12 = 0, 3*w + 2*q = -2 + 5. What are the prime factors of (w - (-20)\/(-5))*-597?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/5)\/o)**11*o\/((o\/((o**2\/o*o*o)\/o*o))\/o)*o*o**(4\/3)*((o**(-2\/3))**19)**32 assuming o is positive.\nAnswer: o**(-2072\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a microsecond in nanoseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -247, 2, -25.\nAnswer: -247, -25, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66, -260, -576, -1008, -1550, -2196, -2940?\nAnswer: -3776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -13*l - 1284. Let v(a) = -2*a**2. Give v(u(g)).\nAnswer: -338*g**2 - 66768*g - 3297312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 6*b - 6. Let r be j(1). Let x(v) be the third derivative of -v**2 + 0*v - 1\/24*v**6 + r*v**5 + 0*v**4 - 1\/6*v**3 + 0. Differentiate x(t) wrt t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 559 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 899 a factor of 583519879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 + 19*i**2 - 64*i + 152. Determine b(-20).\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -r + 4. Let g be (4 - (r - 2)) + 2. Let x(i) = -5 + 3 - 2 + g. Let b(c) = -c + 11. What is 2*b(n) + 22*x(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 60105053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -0.2  (c) 0.2  (d) 2\/9  (e) -5.882\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -159 or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (101*j - 26*j - 30*j)*(2 + 3 - 3).\nAnswer: 90*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(21\/36)*(-58)\/116.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 403073?\nAnswer: 11, 36643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1260 + 1260. Let h = -2.7 - -3. Which is the closest to -0.5?  (a) h  (b) -3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j + 52 = -27 - 21. What is the greatest common divisor of j and 685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1444846661 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(5) + 0 + sqrt(5) - -1*(sqrt(180))**2.\nAnswer: 2*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1091963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 8  (b) 418  (c) -3  (d) 0.078\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-2))\/((12\/(-28))\/((-4)\/(-14)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1*sqrt(462)*3)\/sqrt(11))\/(-5*sqrt(36)\/sqrt(6) + sqrt(6) + sqrt(96)*-4).\nAnswer: -9*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -56165?\nAnswer: -56166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3437*a - 6685*a = -3358*a + 1650 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -337251*g + 58326 wrt g?\nAnswer: -337251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of 5*y - 1\/9*y**3 + 0*y**4 + 1\/15*y**5 - 1\/63*y**7 + 0 + 0*y**2 + 0*y**6. Factor h(s).\nAnswer: -2*s*(s - 1)**2*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - 1ec91d7?\nAnswer: -1ec91d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 + 52 = -28*b + 72. Let v = 11 + -15. Sort b, 3, v, 4 in descending order.\nAnswer: 4, 3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 - 488*p - 2889. Give c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((12\/15)\/(-1))\/(2\/(-5)). Is ((-1)\/(3\/2))\/(t\/(-591)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 20 - 8. Suppose 5*i = 10, -f = 3*f - 4*i - 8. Let b be f\/10 - (-168)\/(-270). What is the nearest to 1 in 0.2, u, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 370798 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**3 - 15*x**2 - 5*x. Give p(-14).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/11, 16, 4, -1\/3, 0.1 in ascending order.\nAnswer: -1\/3, 0.1, 6\/11, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(88)\/(sqrt(40)\/sqrt(5)).\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 35*f**3 + 3*f**2 + 2*f - 1. Is a(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 97 times -5\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2925630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-3)*u**4*u**(-16))\/(u**(-25\/4)*u**(-38)) assuming u is positive.\nAnswer: u**(117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - z - 22, 0 = -0*c - c + 5*z - 22. Suppose 19*u - 7 = -235. Is c at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*v**2 + 0*v**2 - 4*v**2)*(-2*v + v + 4*v) + (0*v - 1 - 5*v + 6*v)*(-v**2 + 4*v**2 - 2*v**2) to y*v + a*v**2 + r*v**3 + p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - 11 - (-10 + 1 + 5 + -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2093\/1794*(-3)\/(-49)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**5\/13 - 432*h**4 + 33648*h**3\/13 - 67268*h**2\/13 + 56046*h\/13 - 16812\/13 = 0.\nAnswer: 1, 3, 2802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -116*q + 65*q - 148*q to the form i*q + a and give i.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-25))\/(32\/(-20))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2175 = -296*v - 1377 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -3*a**4\/4 - 6*a**3 - 5*a - 11. Is j(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwq when three letters picked without replacement from {l: 5, w: 4, o: 1, q: 1, i: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (57\/114)\/((-2)\/((-24)\/(-6)))*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0138 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -411747261 to the nearest ten thousand.\nAnswer: -411750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -569176040*s**2*t**2*v + 64*s**2*t - 1977*s*v + 5*s + 2*v wrt t?\nAnswer: -1138352080*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 200*a**2 + 43188*a - 2592 = 0.\nAnswer: -216, 3\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 24 + 18 + (-58 - -64)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, -0.2, 0, 1, 3.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2308 - 1051. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29987 = 1512*q + 9325 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-1)\/(-29)*1)*2146\/(-2146)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -4, -279, 7, -7 in descending order.\nAnswer: 7, -4, -7, -20, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -423 or -422?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -0*j - 60. Suppose 276 = p + 300. Let b = j - p. Solve -b*q - 5*o = -0*o + 45, 2*q + 3*o = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 17, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 110, 148, 178, 194, 190?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -156*o - 147 + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 19 + (6 - (-14 - -21))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 183169272 and 1606748.\nAnswer: 183169272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/4  (b) -84  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/10)\/(12\/60). Let v(w) = -4 + 8*w - w - w**3 - i - 8*w - 9*w**2. Determine v(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.5, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24 + 41. Let g(n) = 5*n**2 + 21*n + 4. Let j be g(-4). Suppose 12*a - q*a - 15 = j. Do a and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1314 and 90.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.3 - -727.7. Let b = -729.97 + a. Let o = b - 0.03. Sort 1, -5, o in decreasing order.\nAnswer: o, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 10*a**2 + 11*a - 27. Let k be u(9). Let n(v) = -v**3 - 9*v**2 - 2*v - 9. Let o be n(k). Let i be (14\/6)\/(3\/o). Solve 4*y = i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of v**4\/60 + 21*v**3\/5 - 127*v**2\/10 + 704*v. Factor h(l).\nAnswer: (l - 1)*(l + 127)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8163 divided by -2721?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.69847 to 2 dps.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -14 - 2 - (-6 + -4 - -3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -12*q**2 - 4*q - 4. Let p be r(4). Let y = -1906\/9 - p. Which is the closest to 1?  (a) -0.3  (b) y  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of 0 + 2*u - 1\/6*u**4 + u**3 - 2*u**2. Factor i(s).\nAnswer: -2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a1 + -2?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.049 to 2 dps.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of k**5\/25 + 77*k**4\/15 + 302*k**3\/15 + 30*k**2 + 4*k + 13. Factor p(g).\nAnswer: 4*(g + 1)**2*(g + 75)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 4*r**3 - 80 + 2*r**4 - 84*r**2 - 164*r + 0*r**3 + 0*r**3 + 2*r**4 = 0?\nAnswer: -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**3 - d**2 - 3*d + 6. Let v(o) = 4*o**3 + o**2 + 5*o - 11. Determine 5*b(h) + 3*v(h).\nAnswer: 2*h**3 - 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121 = 3*s - 5*p, 20*p - 21*p - 146 = 4*s. Which is the closest to -0.2?  (a) 3  (b) s  (c) -1  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -954409 - -954409. Let v be (2 + -4)*(-2 - 0). Suppose 0 = 5*d + 20, v*a - 6*d - 36 = -d. Solve -c - i = 4*c + 13, -a*i - 12 = r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 - -1) + 3 + -1. Suppose -k*d = -9*d - 14. Put d, 8, -1 in decreasing order.\nAnswer: 8, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3c + ba69?\nAnswer: baa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.045  (b) 1  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccciczcichh. What is prob of picking 1 z and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m - 7. Let r be q(-5). Suppose u = -4*a + 2, -a + 8 = 5*u - u. Suppose a*o + 4*o - 8 = 0. What is the closest to 0.1 in o, 3, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16 + 16. Suppose -c + 7 = -w*u + 2*u, 0 = u + 5*c + 19. What is the least common multiple of u and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of f + 0*f**2 + 2\/3*f**3 + 0. Let l(v) be the first derivative of v**3\/3 - 790. Give h(l(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/9279135 and 14\/42271615.\nAnswer: 380444535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*v - 29*v - 7*v - 2.\nAnswer: -59*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 322242677 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 21, 85, 117, 117, 85, 21?\n\"Answer: -16*y**2 + 112*y - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: 13\/1040*-8*6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 14*r**2 + 2*r - 15. Let m be l(8). Suppose 3*d = m + 191. Is d a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - 0. Which is smaller: 1\/33 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -322*k**2 + 6448*k - 63. Suppose 0 = -3*v - v + 100. What is the remainder when i(20) is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/3)\/((-6)\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - -a5?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1959593 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -106*x + 103*x + 3. Let o be x - (2 - 4) - (1 - 0). Solve -i + 3 = o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.07, 0, 1272, 1\/7?\nAnswer: 1272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 1969 = 664. Let w = g - -526. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*d - 99*d = 131*d - 4200 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - (-1 + (-4 - -10))) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-7)*z)\/(z**1\/z))\/(z*z**(-1\/2)*z\/(z**(3\/5)\/z)) assuming z is positive.\nAnswer: z**(-79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**0)\/l)\/(l**(-2)*l)*l**21*l**(-5\/9) assuming l is positive.\nAnswer: l**(193\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 307 + -253. Let g be (-36)\/3*u*5\/(-10). Is 324 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y - 2. Let g be i(9). Let c = 26 - g. Let m be (-4)\/c + 5\/25. What is the third smallest value in 1, m, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7)\/(-12) + 6\/(-24). Which is the closest to 0.06?  (a) -1  (b) 3  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1109088386?\nAnswer: 2, 7, 67, 1182397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2184*v - 1. Let o(i) = i. What is y(o(s))?\nAnswer: -2184*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + -33603?\nAnswer: -33566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.477 - -7.477. Put -1, v, -1.5, -0.2 in ascending order.\nAnswer: -1.5, -1, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 10 = -2*d, 6059*r - 15 = -3*d + 6057*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) 2\/3  (c) 61  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from {r: 4, y: 2, z: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1585, -5985, -12751, -21421, -31533, -42625?\n\"Answer: 77*g**3 - 1645*g**2 - 4*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 7*p**2 - 21*p + 15. Give s(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27282103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8729 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 496*k + 5470 = -4450 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 = 3*j + 12*o - 14*o, -2*o - 4*o + 120 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -0.4, -14, -0.02.\nAnswer: -14, -0.4, -0.3, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 501488220.78 - 506705776. Let r = 5217502.2200058 + z. Let x = r + 53. What is x rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 478, 961, 1454, 1957, 2470?\nAnswer: 2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 169836 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (7\/(-2))\/((-4)\/8). Let c(o) be the second derivative of o**3\/6 + 17*o**2\/2 + o. What is the units digit of c(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 846 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -5*a**3. Let j(w) = -11*w**3. Let x = -36 - -20. Let t(q) = 5*q + 6. Let o be t(-7). Let g = o - x. Give g*b(s) + 6*j(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/119, 0.05, 492.9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -460 + 230. Let p(t) = t**3 + 10*t**2 + 6*t - 27. Let j be p(-9). Is (4 + j)*o*(-2)\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2107643 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 20?  (a) 2  (b) -1  (c) -7  (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.2  (b) 1\/6  (c) 0.5  (d) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(3 + -1 + (sqrt(500) - (sqrt(500) + sqrt(500)*2*6)))*6*2*-3)**2.\nAnswer: -9953280*sqrt(5) + 1493074944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4423099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 - -11. Suppose j*g = -5*v + g + 228, 0 = v - 5*g - 56. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/7 + -2 + 66\/(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of s**4\/12 - 2*s**3\/3 - s**2. Let t(k) = -k**2 + 13*k - 5. Let b be t(12). List the prime factors of x(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 69*i - 371 - 595 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3*q**2 + 19*q + 1. Is l(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -3*z**3 + 6*z**2 - 9. Let p(b) be the second derivative of -b**2\/2 - 4*b. Let r be (3 - 3 - -1) + -2. Let f(o) = r*t(o) + 9*p(o). Factor f(c).\nAnswer: 3*c**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-8) - 4\/(-4)*3\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (-13 - (-6 - -2) - -30).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -14.3  (b) 0.02  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -26576, -106594, -239960, -426674, -666736, -960146?\n\"Answer: -26674*b**2 + 4*b + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 96\/(-2) - (-196 - -234)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/1432901885 - 27659305071807\/10279638122990. Let b = l + 3\/211. Find the common denominator of 1067\/(-210) + 194\/(-1455) and b.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 100776, 202260, 303744, 405228, 506712?\n\"Answer: 101484*x - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5366*w**5 - w**4 + 8437*w?\nAnswer: -107320*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -k**4\/6 - 11*k + 15. Let h(x) be the first derivative of -8*x**3 + 2. Determine h(t(q)).\nAnswer: -96*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-10*(-3)\/(-3))\/(-2). Solve -13 = -3*l - b*y, l = -5*y + 1 + 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express i**3 - 3*i**3 + 147 - 148 + 18*i**2 - 2*i in the form u*i**2 + o*i**3 + a + d*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + n + 2*n)*(2*n - n - 2*n)*(4*n**2 + 5*n**2 - 5*n**2).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.855159ml in litres?\nAnswer: 0.002855159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 1202010101100022?\nAnswer: 1202010101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-1\/13)\/(f\/f**(-7\/4)) assuming f is positive.\nAnswer: f**(-147\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-174777)\/(-3060) - 58) + 1\/(-6) + 1?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1900) + sqrt(1900) + 2 + (sqrt(1216) + ((-1*sqrt(1216) - sqrt(1216)) + -3 - sqrt(1216)) - sqrt(1216)))**2.\nAnswer: 8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -7*y - 2. Let b be z(-2). Suppose 2*v = 2*j - 8, -3*v + 6*j - 7 = 4*j. Let f be (v - (-2)\/4)*64. Calculate the greatest common divisor of b and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.411 - -0.089. Let u be (-10)\/(-85) - 651\/476. What is the closest to -3 in u, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 270 and 0.017.\nAnswer: 4.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1669 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 5*y**3 + 3*y**2 + 11*y + 33. Let l be o(-3). Let s = l - -111. Factor 1\/2*p - 1\/2*p**2 - 1\/6 + 1\/6*p**s.\nAnswer: (p - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 + (233 + -244 - (1 + 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 6042.939nm?\nAnswer: 0.000000006042939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -267, -290, -301, -306, -311, -322, -345, -386?\n\"Answer: -x**3 + 12*x**2 - 52*x - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 20588 times -1.6\nAnswer: -32940.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5788800 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 12) + -4 + 20 + -9 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12735008*u**2*y**3 + 16*u + 69985*y**3 - 2*y wrt u?\nAnswer: 25470016*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 + (-3 - -2) - (9 - 20). Is d - (-3802)\/4*10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 9:39 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, i: 2}. What is prob of sequence rr?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3137674)\/981*(-27)\/6?\nAnswer: 37, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 645 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -142, 1, 46, 4, -4 in descending order.\nAnswer: 46, 4, 1, -4, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 11 - 26. Let l(k) = 51*k - 93. What is the hundreds digit of l(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c + 10 + 132 + 85.\nAnswer: -3*c + 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 8*o - 3. Let n be q(7). Suppose n - 17 = 3*u - 3*c, u = -3*c. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -5*u**3 + 8*u**2 + 13*u - 13. Let r(x) = -2*x**3 + 4*x**2 + 6*x - 6. Let b(j) = -3*f(j) + 7*r(j). What is b(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-45))\/(((-4)\/8)\/((-117)\/24))\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -753 + 1167. Is 46 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20.37 at most as big as 4.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 7755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -6*s**3 - s**2 + s + 1. Let h be g(-1). Let c(u) = -u**3 - 29*u**2 - 28*u + 4. Let y be c(-28). Solve h*z = -4*b - 9, -4*b + 12 = -y*z - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -18283*u - 91430. Give c(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 345 - 25\/5 - -4. Differentiate 43 + 344*w + 40 - s*w - 110*w**2 with respect to w.\nAnswer: -220*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**3 + 348*s**2 + 15810*s + 57800 = 0 for s.\nAnswer: -85, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -31.7 in -0.3, -6\/13, -1\/12?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -5*f - 29. Let l be j(-12). Let i = 3 - -2. Determine k, given that -l - 21*k**4 - 3*k**i + 4*k**2 + 81*k - 37 + 50*k**2 - 13 - 30*k**3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*p**2 + 2*p**2 - 42 + 42 to the form c*p**2 + l + d*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1727 + 1733 + 1899*s**3 + 33*s**3 - 3460)*(s - s**2 - s).\nAnswer: -1932*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 17*z - 12. Let f be a(11). Suppose -5*v = -4*v - 25. What is the highest common factor of v and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -10 + -4 + 2 + -200 + 209 + -1 + 36\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1516094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-37)\/(555\/36)*(-5)\/9. Which is the nearest to 0.1?  (a) h  (b) 2  (c) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36*665\nAnswer: -23940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1197?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2303 and 0.5.\nAnswer: 1151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 - 18. Solve -7*c + 2*c - 29 = -3*n, 0 = -2*n + 5*c + j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9855 - 5068. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m**3 - 1430*m**2 + 412233*m - 33710004 = 0. What is m?\nAnswer: 177, 1076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 598*t**2 - 2765*t + 30. Determine s(4).\nAnswer: -1462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 - 43*g + 92. Let y be n(-45). Let z(c) = 12*c**2 - 6*c + 6. Let o(l) = l - 1. Determine y*z(v) + 12*o(v).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 201, 449, 689, 915, 1121, 1301, 1449?\n\"Answer: -b**3 + 2*b**2 + 249*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -y + 20, -2*y + 7*y + 4*m - 42 = 0. Suppose 16 = -2*k - 0*k. Let w = y + k. Solve w*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(21) + 1*sqrt(336) - sqrt(1701)*-1)\/(3*(sqrt(27) + sqrt(243))))**2.\nAnswer: -343\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of -5*y + 0 - 1\/3*y**3 + 0*y**2. Suppose -2 = 2*n + d, -2 = 2*n - 3*d - d. What is p(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of 0*l + 1\/60*l**5 + 0 + 1\/120*l**6 - 1\/12*l**4 + 9*l**2 + 0*l**3. Factor x(d).\nAnswer: d*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + v + 0*v + 14 = 0, 2*z + v + 11 = 0. Let s = z + 5. Put -4, 1, s in ascending order.\nAnswer: -4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16105 - 16025 = 20*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence scj when three letters picked without replacement from sscsj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -31 or -1341?\nAnswer: -1341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 310 - 310. Let z(i) = i - 3. Let x be z(5). Suppose a*v + x*v + 4*t = 24, -2*v + 26 = 3*t. Which is greater: v or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-3))\/((-18)\/297). Let r = m - 13. Let d be (r\/8)\/(57\/1748). Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + -3 + -1)**2 - (-4 + sqrt(300))**2 - (sqrt(21)\/(sqrt(7) + sqrt(175)) + 0 + sqrt(108)).\nAnswer: -297 + 395*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 806827 is divided by 268767.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of v**2\/2 - v + 1. Let l(n) = -3*n**2 - 4*n + 2. Let z(d) = l(d) + 4*x(d). What is the derivative of z(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 935713011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 63*q + 8260. Determine b(-131).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2, 7, 26, 61, 118, 203?\n\"Answer: f**3 - f**2 + 5*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 6*d - d + 51, -1 = -d. Let f be q\/190 - (-2)\/5. Suppose 0 = -5*h - 4*u, 4*u + u = 3*h. Do h and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/(-60)*(-4)\/(12\/45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/((-18)\/2)*24. Suppose -3*a - 4*t = -d - 11, -2*a = -t - 9. Solve -a*v + 8 = -7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1501841?\nAnswer: 11, 136531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4539 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-16)\/(-6)*-5 + 2\/(-3). Let z be (-3)\/(-6) + 12 + x. Let u = -1 - 0. What is the second smallest value in 1, 1\/3, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 - 46*g**3 + 4 - 27*g**3.\nAnswer: -73*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*a + 4*u + 5, -u = 2*a + 1. Let f = 0 + a. Let q be ((28 + 0)*(2 + -3))\/(-2). Solve -q = 3*r + f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 6*y**2 - 2*y. Let b(g) = 3*g**2 - 4*g + g + 2*g + 0*g. Let h(p) = -3*a(p) + 5*b(p). Find the second derivative of h(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 474 and 2054.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.079 times -4935?\nAnswer: -389.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from {i: 7, e: 2, j: 4, t: 5}?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13558481.\nAnswer: 13558481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 33 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(4 + (1 + (sqrt(176) - (sqrt(176)*4 + 4)))*3*1))**2*-4.\nAnswer: -228496 - 5760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 11, -24, 3 in decreasing order.\nAnswer: 11, 3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from miauumiumaatmiimtm. What is prob of sequence tut?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 54766143 + -1.\nAnswer: 54766142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/21)\/4 - 65\/(-455)*135?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -95c1 (base 16) to base 6.\nAnswer: -453253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -702569 by 3.\nAnswer: -702569\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 + (-2 - (-4 - 0 - (-2 - -2))) + 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2\/5*((-298)\/(-154) + (-24)\/42)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 931 - -842. Is x a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38 divided by -38\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 6, -3\/5, -3, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**3 + 1092264*g**2 + 4369020*g + 4369008.\nAnswer: 3*(g + 2)**2*(g + 364084)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 13, 5, -3, 1 in increasing order.\nAnswer: -9, -3, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -816*d**2 + 2*d - 288?\nAnswer: -1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 50906?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p - p - p - 5*p + 13*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 445431 (base 6) to base 14.\nAnswer: d96b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 352 - 726. Let p = 7856\/21 + r. Sort -5, p, -10 in increasing order.\nAnswer: -10, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36d6d4 (base 15) in base 12?\nAnswer: -a68517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001635913 to 7 dps.\nAnswer: -0.0001636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 19 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - (-12 - -14 - -7 - 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 - 5*o - 6. Let l be r(5). Let d be 4*(-1)\/l + (-30)\/(-36). Solve 6*s**4 + 3*s**2 + 0*s + d*s**5 + 15\/2*s**3 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v - 706 = 83324. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -7 - -5) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2821 * -2.5\nAnswer: -7052.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - (0 + -1 - -1). Suppose 2*r + l + 2*l - 22 = 0, -3 = -3*r + m*l. Solve 16 = -4*f + 4*v, 4*v + 6 - 4 = -r*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 750 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -5*(-2)\/(-90)*9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:13 PM and 12:12 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 12*w**3 + 167*w**2 + 54*w - 18. Determine b(-12).\nAnswer: 2646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23937 + -18380. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1164\/120 + (-6)\/(-20))*(-1)\/(-2). Put -45, -1, r in descending order.\nAnswer: r, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1639996, -1640071, -1640146, -1640221, -1640296, -1640371?\n\"Answer: -75*m - 1639921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 59241977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 406912 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -10. Suppose 4*l + 50 = -5*r, 0 = -r + 3*l - h*l - 31. Is r not equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -6*t**3 - 4*t**2 + 7. Let p(s) = 5*s**3 + 3*s**2 - 6. Suppose 750 = 6*v + 150. Suppose -v*i = -104*i - 24. Give i*y(o) - 7*p(o).\nAnswer: o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*((-4)\/(-1))\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) 0.06  (c) -1\/4  (d) 2\/173  (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 484*j**2 - 92*j - 26. Is l(-2) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3134 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/22 and -15\/133304?\nAnswer: 1466344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-64)\/84)\/(4*(187\/66)\/(-17)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18267.8814 seconds in days?\nAnswer: 0.2114338125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3365, 4 in ascending order.\nAnswer: 4, 5, 3365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(11) - 2*(sqrt(55)\/sqrt(5) - sqrt(11))) + (sqrt(11) - (-1*sqrt(132) - sqrt(132))\/sqrt(12)))*6.\nAnswer: -96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -f + 35 + 75, 2*f + 599 = 5*z. Suppose 0 = -4*u + 57 + 3. Calculate the least common multiple of z and u.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11747.\nAnswer: 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -62 - -188\/3. Let g be ((-6)\/(-15)*5)\/(-7 - -4). What is the nearest to 0.1 in d, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.21 - -25.29. Let u = v - 27. Which is the nearest to 0?  (a) 0.2  (b) 1  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**5 + 24*g**4 - 27*g**3 - 174*g**2 + 492*g - 360.\nAnswer: -3*(g - 5)*(g - 2)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16762*o**2 + 1073*o**4 - 16762*o**2)*(2*o - o + 0*o + 1 - 2*o - 1 + (1 - 2*o - 1)*(3 - 2 + 1) + 4*o + o - o - o - 5 + 5).\nAnswer: -2146*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.753 + -1345.\nAnswer: -1345.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 109, 112, 115, 118, 121, 124?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 + 6*c**2 + 4*c + 7. Let y(n) = n**2 - 22*n + 52. Let i be y(19). Let r be f(i). Solve -9*m + r*m = 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4236, -16899, -38002, -67545?\n\"Answer: -4220*a**2 - 3*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3410 and 121.\nAnswer: 37510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 - 26*f + 22. Let u be r(26). Let z be -19 + u + (2 - 0\/(-1)). What is the nearest to 0.1 in -3, -0.7, z?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u - 3*g - 76 = 0, 5*g = g + 16. Let m(s) = 6*s**2 + 65*s - 15. Give m(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + -1 - 4\/(-18). Suppose 188*f - 59 = 19*s + 186*f, 0 = 2*f - 2. Which is the smallest value?  (a) 4  (b) s  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/3135 and 74\/468765?\nAnswer: 8906535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4026 + -4027. Let m = -1\/3 + 4\/9. Put 0.1, m, 0.5, v in descending order.\nAnswer: 0.5, m, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 340775674159 + -223?\nAnswer: 340775673936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -1.3, 3, 1922, -0.3 in increasing order.\nAnswer: -1.3, -0.3, 0.1, 3, 1922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (2 - 4) + 11\/(-80)*-28 and 9\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 10002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zb when two letters picked without replacement from ssbsbzbzssz?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3636, -2, -9.\nAnswer: -3636, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -645802*h**3*i + 1538*h**2*i - 418*h**2 wrt h.\nAnswer: -3874812*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 339096662?\nAnswer: 2, 31, 5469301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 206 - 584 = -3*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -z + 15, 3*z - 55 = 3*v - 82 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1322015667 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 17\/(-3) + (-2)\/(-3). Let l be (4*(-1)\/(-22))\/(-36). Let b = 391\/990 - l. Sort b, 0, w.\nAnswer: w, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49673 and 14274.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-1 + sqrt(1300))*5 - ((sqrt(1300) - (2 + sqrt(1300)*2)) + (2*sqrt(1300) + sqrt(1300))*6))**2.\nAnswer: -1080*sqrt(13) + 12024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -416551 = 4*u - 5*v - 416590, -5*u - 4*v + 100 = 0 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - k + 2 = 0. Suppose 5*q - 5 = 20. Suppose -9*j + q*j + 160 = 0. Solve 4*f + j = -5*u, f - k*f = u + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 - 4*w**2 + w + 2. Let p be l(4). Let m(r) = -r**3 + r**2 - 1 - 11 + p. Determine m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**2*g)\/g**(-6)*g\/(g*g*g**13)*g**(-34)\/g assuming g is positive.\nAnswer: g**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 12:21 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of 0*v**3 + 0 + 10*v + 6*v**2 + 1\/4*v**4. Let m be g(4). Calculate the highest common factor of 24 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 11*h - 1. Let a be 1332\/135 + (-1)\/((-30)\/4). Suppose -2*i + d = 5*d + a, -2*d - 3 = 3*i. Let v be ((4 - i) + -2)\/(-1). Determine g(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**3 - 4012*n**2 - 12000*n.\nAnswer: -4*n*(n + 3)*(n + 1000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 979198333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 2*m**5\/5 + 14*m**4\/5 - 1362*m**3 + 32914*m**2\/5 + 113656*m\/5 - 139776\/5 = 0.\nAnswer: -64, -3, 1, 7, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 536, -0.02, 2, 2\/9, -2 in increasing order.\nAnswer: -2, -0.02, 2\/9, 1, 2, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-6 + 4)\/(-14))\/((-28)\/(-56))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3061?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 + 2*d**2 + 11*d + 29. What is the remainder when l(7) is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f. Let r = 11 + -9. Let y(d) = -4*d**2 + r*d**2 - d**2 - 4*d**2. Give b(y(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -1303 != 3186\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 42847 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 581372 is divided by 1518?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 5. Let o(d) = -d**2 - 9*d - 6. Let r be o(-8). Suppose -2 = -r*g + 2. Solve -i*s - 18 = -0*l + g*l, 0 = -l + 3*s + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -140461 by -6.\nAnswer: 140461\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 102 and -2716.\nAnswer: -277032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -843*y - 2878. Let i(b) = -1686*b - 5721. Let q(a) = 5*g(a) - 3*i(a). Find the first derivative of q(z) wrt z.\nAnswer: 843","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.487875 kilograms in nanograms?\nAnswer: 6487875000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51128 and 61279232?\nAnswer: 674071552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011 (base 7) to base 10.\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z - 6. Calculate x(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 2*v - 6. Suppose 0 = -2*u + 2*o - 16, 4*u + v*o + 72 = -2*o. Is u < -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1389\/14  (b) -10  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -141\/260 + -3\/52. Let k = 14816 + -370341\/25. Calculate the common denominator of k and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176774?\nAnswer: 2, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v**2 + 6 - 6. Let h(r) = -10*r**2 - 17*r**2 + 41*r**2. What is h(l(y))?\nAnswer: 56*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(3 + sqrt(5) + (-5*sqrt(55))\/sqrt(11) + sqrt(5) + sqrt(5) - (-2 + sqrt(500)*-1)))**2*5.\nAnswer: 1600*sqrt(5) + 6900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -21. Which is the third smallest value?  (a) 3\/2  (b) 4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 251691 divided by -3.\nAnswer: -83897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7600994*k - 29 + 29 + 15623125*k.\nAnswer: 23224119*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 661*p + 5*x = 663*p - 44, -5*x + 58 = 4*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3850 divided by -70.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1519, -4\/43, -0.5, 0.5?\nAnswer: -1519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 505 + -503.83. Let j = 934.83 - 940. Let q = o + j. Which is the closest to 0?  (a) -10\/7  (b) q  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 7*q. Let d(l) = 0 - 2 + l**2 + 2. What is d(a(p))?\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 42355 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -2*f**2 - 22*f - 56 = 0?\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 4:02 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26 - 6. Let a(f) = -2*f**2 - 25*f + 6. Let t be a(-12). Suppose -1 = j + 2*z - t, -3*z = j - 22. Calculate the remainder when g is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.04 and 5193.1347 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 2*j - 2 = 0, -5 + 0 = -3*f + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 257348608 a multiple of 737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3974*g**2 - 665*g**3 - 384*g**3 - 3974*g**2.\nAnswer: -1049*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -369, -1464, -3285, -5832, -9105, -13104, -17829?\n\"Answer: -363*i**2 - 6*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -1\/3  (c) -2\/9  (d) -1  (e) 940\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.1, -7, 9, 11.\nAnswer: -7, 1.1, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 85 + 8*h + 0 - 28. Let s(n) = n**2. Calculate s(k(l)).\nAnswer: 64*l**2 + 912*l + 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5442358?\nAnswer: 2, 53, 51343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 5:57 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -69336*p + 8. Let d be y(3). Round d to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1373.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 64104.1 + -64061.4177. Let u = g - 42.7. What is u rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*g + 127*g - 4*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13\/2 + 37\/6. Let t(z) = -4*z**2 - 3*z + 13. Let k(j) = 5*j**2 + 3*j - 14. Let o(b) = 3*k(b) + 4*t(b). Let i be o(-5). Which is greater: i or r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374831 divided by -23?\nAnswer: -16297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5 or 2\/35709?\nAnswer: 2\/35709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sr when two letters picked without replacement from sssssrssrsr?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 244809652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3 - -3 - 2640\/450\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the third derivative of 0*a**3 + 0 + 0*a**4 + 9*a**2 - 1\/20*a**5 + 0*a. Let w(d) = 0*d + 2*d - 5*d. Calculate j(w(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**2 - 12*y + 20. Let b(c) = -c**2 + 4*c - 6. Let l(d) = -7*b(d) - 2*t(d). Let w(a) = 3*a**2 - 2*a + 1. Let g(h) = -3*l(h) + 7*w(h). Give g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q + 300210 = -562190. Round q to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2 + (-2*(-1 + sqrt(1573)) - sqrt(1573))*4 + -5)**2.\nAnswer: -264*sqrt(13) + 226513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2 + 37*d - 32*d - 6 - d**3. Let c(m) be the second derivative of -m**5\/20 + 3*m**3\/2 - 7*m**2\/2 + 98*m. Determine 4*c(p) - 7*f(p).\nAnswer: 3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 7*u**2. Let q = 5850 + -5839. Let k(i) be the first derivative of 0*i - q + 1\/2*i**2. Determine k(z(b)).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*o - 6*q - 37, -16 = 4*o - 4*q. Let c be 348\/(-70) - ((-259)\/35 - o). Is c >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -262*b**2 + 33562*b - 3335. Determine g(128).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 25379, 24556, 23731, 22904, 22075, 21244, 20411?\n\"Answer: -y**2 - 820*y + 26200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2703603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 5 = -3*v, s - 45 = 5*v. Suppose 0*p = 5*p - s. Solve -3*x - 2*h = 2, -h - p = -0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + h - 4, -5*r + 6*h = 4*h - 48. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -2*r + 82. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 18*k**2 - 4*k**2 - 4*k**2 - k**2 - 7*k**2. Let b(d) = 3*d**2 + 2*d**2 - 3*d**2. Give w(b(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of j**6\/120 + j**5\/20 - 5*j**4\/24 + 9*j**2. Let g be c(-4). Solve -g*r + r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10715 + -171387\/16. Let q be (-78431)\/60 + 27\/45. Let g = q + 1304. Calculate the common denominator of g and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4092, -3, -7, 2.\nAnswer: -7, -3, 2, 4092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1300 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/11 + (-2 - (-155)\/(-55)). Let a(w) = -w**2 - 3*w. What is a(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 888 - 885. Solve d = -u + 1 + 3, -w*d = -5*u + 28 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 2*c + 3*c)*(-19 + 3*c + 19).\nAnswer: 3*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of 2*o**3\/3 - 9*o**2 - 72*o + 228. Determine w, given that f(w) = 0.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 15112 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 101*z - 88*z - 1868*z**3 + 5*z**2 - 1845*z**3 + 644*z**3 wrt z.\nAnswer: -18414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 265, 5 in descending order.\nAnswer: 265, 5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1998\/5 + 43731\/110. Find the common denominator of (-363)\/(-9)*(-1)\/2 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.3  (b) -27\/22  (c) -215  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6243 divided by 4\nAnswer: 6243\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*u + 42*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2511.01 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1022 (base 3) in base 2?\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13776 and 738.\nAnswer: 41328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37069 - -30383. What are the prime factors of x?\nAnswer: 2, 3, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k*k\/(k*k**(2\/19))))\/k)\/k**(-4))\/((k*k**(-2\/15))\/k**(1\/3)) assuming k is positive.\nAnswer: k**(733\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13.8 - 14.59. Let z = 0.012662958 - -0.777338172. Let b = z + n. Round b to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15079.\nAnswer: 17, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 45 - -356146?\nAnswer: 356224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17 in -1\/5, -3\/5, -0.3, 3\/2, -0.04?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 17\/5 - 6\/15. Suppose b*t + 0*t = 4*k - 45, -3*t - 33 = -3*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 45425989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 187*m + 930 + 1357 = 791 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -0.14, -8005?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11 * -0.48.\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 502 is divided by 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -b**3 - 13 + 2085*b**4 + 4*b - b**2 + 0*b**2 + 0*b**3 - 2086*b**4 in the form h*b**3 + j + u*b**2 + z*b**4 + s*b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 divided by 30?\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/2 + 1 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.34 + 0.66. What is the biggest value in j, -2\/9, -6, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 11*h**2 + 31*h + 9. What is z(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -206*y + 296. Calculate the remainder when j(-3) is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6214, -12383, -18552, -24721, -30890?\nAnswer: -37059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {i: 1, b: 3, h: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 4248.6538.\nAnswer: -4248.6538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17368654 by -2.\nAnswer: -8684327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (-18)\/16)*(-20)\/14.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 0 - (7 + -51 + 66).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 184122015 a multiple of 9589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.0286  (b) 21  (c) 8  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -14 and 0.039.\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2902 - -26081\/9. Calculate the common denominator of z and -2 - (2 - 141\/10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - b?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -392*d + 399*d - 35 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k - 2*k + k. Let j(s) = 7*s. Determine j(m(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(1377) + 1 + 5 + 5 + sqrt(1377)*2)*5 + -5.\nAnswer: 40 + 135*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -1\/4, 0.3, 5\/176, -45 in decreasing order.\nAnswer: 0.3, 5\/176, -2\/9, -1\/4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39218420.\nAnswer: 2, 5, 1960921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30 + -26. Suppose w - 6 = -f. Solve -2\/3*s**4 - w*s**3 + 0 - 2*s**2 - 2\/3*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 - 11. What is the third derivative of -2*z + 8*z**2 - m*z**6 + 2*z wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -1. Let o = -217.3 - -218.3. Which is the biggest value?  (a) o  (b) 3\/5  (c) z  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -203 - -1424\/7. Let h = 1\/35 - f. Let p = 0.01 - 2.01. Which is the nearest to p?  (a) h  (b) 1\/3  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of -3160*a**5 - a**4\/12 - a**3 - 5*a**2\/2 - 7*a. Let f be h(-5). Round f to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 699776 and 1056.\nAnswer: 2099328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 + 797*o**2 - 36995*o + 7604. Calculate v(-841).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {l: 2, y: 2, r: 1, m: 2, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3, 0.2, 4\/91, 5, -0.2, -349\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.77 + 4.11. Let r = u - -0.12. What is the third biggest value in r, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*x + x - 5*x)*(2 + 2 - 3)*(1413*x + 344*x + 767*x) + x**2 + 2*x**2 - 4*x**2 to the form f*x**2 + i*x + o and give f.\nAnswer: -10097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**2 + 0*d + 0*d + (11*d - 8*d + 12*d - 4*d + 3*d + 2*d + (-2 + 0 + 4)*(-d + 5*d - 3*d) + 69 - 69 + 30*d)*(-d - 5*d + 4*d).\nAnswer: -95*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*x**2 + 22\/5 + 21\/5*x.\nAnswer: -(x - 22)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m - 112 = -304. What is the least common multiple of 1650 and m?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 364 = 5*w, -c + 85 = -4*w - 34. Calculate the remainder when c is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24)\/sqrt(3)*6)**2 - (sqrt(2)*1 + 3 - (sqrt(72) + (1 + sqrt(72))**2 + sqrt(72))).\nAnswer: 23*sqrt(2) + 358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/20*(2\/(-3))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 361002351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 200 and 946800.\nAnswer: 946800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14817 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of 0 - 11\/8*q**4 + 0*q**3 + 1\/40*q**6 + 33*q**2 + 0*q + 0*q**5. Find the second derivative of d(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14246 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rlra when four letters picked without replacement from lraarrral?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 + 5)\/((-41)\/6 + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0547017 to three dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 177*m**6*s**2 + m**2*s**2 + 16*m**2*s - m*s**2 wrt m.\nAnswer: 21240*m**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 - 4*a**2 - 7*a + 21. Let u(c) = -28*c - 2. Let f be u(-3). Let b = -71 + f. Is j(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 196402\/9716 + 6\/(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**3 + 2 - 6*f - 3*f**2 - f**2 - f - f to the form b*f**3 + i*f**2 + g + s*f and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -142*u**3 - 3*u**2 - 127. Let m(o) = -141*o**3 - 4*o**2 - 128. Let s(g) = 3*m(g) - 4*z(g). Differentiate s(k) with respect to k.\nAnswer: 435*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -6. Suppose -5*v + y + 23 = 0, 2*v - 10 - 8 = -f*y. Factor j**2 + 2*j + 0*j**2 - v*j**2 + 2*j**2.\nAnswer: -2*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-15)*m*m**(2\/13)*(m*m**(4\/9)*m)\/((m*m**(-2\/39))\/m) assuming m is positive.\nAnswer: m**(-1328\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*z**3 - 5*z - 19*z**3 + 43 + 5*z in the form i*z**2 + r + x*z**3 + v*z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 360274 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 5, -1\/5, 0, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y - 3 - 7 - 2*y. Let f be m(-10). Suppose -u + 1 = f, -3*g + u = 215382 + 45619. Round g to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a**2 - 2*a - 2. Let c be p(0). Let t be 10*((64\/(-20))\/4 - c). Let j(r) = -26*r + 16*r + t*r. Let f(k) = 1. Give -f(y) + j(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 14400, 14464, 14522, 14568, 14596, 14600?\n\"Answer: -l**3 + 3*l**2 + 62*l + 14336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177 + 381 = 9*p. What is the remainder when p is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (37\/((-703)\/(-38)))\/(((-24)\/(-15))\/4). Solve -r*w = -11*w - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 123\/13 + 1 - (-484 + 64)\/(-42).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 53749, 53754, 53759, 53764?\n\"Answer: 5*p + 53744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47.3 + -47.30001686. Round o to 6 dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (4 - 3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 + -6)\/3*-5. Let a(o) = 9*o**2 + 31*o - 129. List the prime factors of a(l).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-429)\/(-26))\/(21\/8). Which is smaller: z or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 + 50*v**2 + 101*v + 161. Let d be a(52). Suppose -2*w - 3*x + 15 = -36, 0 = w + 4*x - 28. Solve p + 0*p + w = -d*r, -r - 10 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -10010?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 4*l - 244 = 0, 51*l = -5*z + 48*l + 243. What is the least common multiple of 96 and z?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1693*q + 16412 - 58558 = -2436*q + 23981 for q.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9812 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 1. Suppose -5*u + 32 = -2*w, 0 = 4*u - 5*w - 29 - 0. Let c(s) = -2*s + 5. What is u*x(z) - c(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 (base 10) in base 15?\nAnswer: ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 2146.177 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 9*f**2 + 13*f - 24. Let i be o(8). Solve 3*d = -d + i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141162 = 8*o - 26*o + 39*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23025293267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -65769*u - 27096826. What is h(-412)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -16  (b) -0.5  (c) 1  (d) -29\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*k + 273 + 122 + 34 - 80 + 267 as h + r*k and give h.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2*g - 2. Let o(t) = 756*t - 61. Let b(c) = 6*k(c) + o(c). Is b(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 - 13*p - 5. Give a(17).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 - -44. Let w = l - -4. Let r = -25 + w. Which is the third smallest value?  (a) 1\/3  (b) 2  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2979692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 841*s - 838*s = 63, -5*b - s = -81. Let f be 2876\/10 - 20\/(-50). What is the greatest common divisor of b and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -42*y - 30. Calculate o(-7).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7\/(105\/40)*((-9)\/(-4))\/3. Let v(b) be the first derivative of 0*b**3 - k*b**4 + 2\/3*b**6 - 4\/5*b**5 + 0*b + 0*b**2 - 20. Solve v(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cnenhenhncnhechecee. Give prob of picking 1 n, 2 c, and 1 h.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 12:11 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20701 - -24246. What is the lowest common multiple of 20 and j?\nAnswer: 14180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 5*z**3 - 2*z**2 - z. Calculate u(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1576989 times 0.4?\nAnswer: 0.06307956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 3, 1258, 0.5.\nAnswer: -0.1, 0.5, 3, 1258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirty-two fifths of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 AM and 2:54 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 2*w**2 + 6. Let u(o) = 5 - 1029*o + 4 + 5*o**2 + 511*o + 516*o. Let k be u(0). Let l(n) = -4*n**3 + 8*n**2 + 25. Give k*h(i) - 2*l(i).\nAnswer: -i**3 + 2*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 286\/743?  (a) 0.5  (b) -1\/2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -231421234 (base 5) in base 16?\nAnswer: -ff2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.72 - 5.42. Suppose 2*r + 13 = 1. Put 0.2, 2, r, u in ascending order.\nAnswer: r, 0.2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (32*1)\/((-11)\/((-22)\/4)). Suppose -14*b = -a*b + 2. Let z = -4 + 4.4. What is the closest to b in 2\/3, -3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 50035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**2 - 7*s. Let y be c(4). Suppose -7*g = h - 3*g + 12, 5*h - y*g - 12 = 0. Solve h*n - 4*n - 12 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 36.6 + -36.3. Which is the closest to -0.1?  (a) 0.1  (b) s  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2903776464?\nAnswer: 2, 3, 60495343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 2\/3, -2, -879, -0.2, -18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -383647 + 127733 + g + 127716 + 128198.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 623230768.\nAnswer: 2, 2269, 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 16851976400 rounded to the nearest one million?\nAnswer: 16852000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*u**4\/11 - 16894*u**3\/11 - 150398*u**2\/11 + 33500*u = 0. What is u?\nAnswer: -8375\/8, -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 14*n**3 - 5*n**2 + 11. Let t(l) = 9*l**3 + 3 + 4 - 118*l**2 + 115*l**2. Calculate -8*t(h) + 5*y(h).\nAnswer: -2*h**3 - h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 4144 = 5*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.135945, 4, -6\/5, 1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4315*n**3 - 52*n**2*t + 6*n**2 - n*t + 141745*t + 11 wrt n.\nAnswer: 25890*n - 104*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + -6. Let a = l - -18.9. Is -5 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 338*y + 255*y - 722*y.\nAnswer: -129*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p**3 + 7*p**2. Let x(k) = 3*k**3 - 8*k**2 + k - 1. Let q(t) = 4*g(t) + 3*x(t). What is q(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.4  (b) -44  (c) -0.15  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -583 bigger than -421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 77\/115292 or -1\/3?\nAnswer: 77\/115292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -2.7. Let d = -0.7 + v. Let x = 0.5 + -1. Which is the biggest value?  (a) d  (b) x  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 25 - 10 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21112221101222 (base 3) to base 11.\nAnswer: 22a19a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from kqqqkko?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 6*k + 9. Let g be f(7). Let o be g\/40 + 14\/(-10). Sort 2, 4, o in descending order.\nAnswer: 4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lpx when three letters picked without replacement from lxyluuullpyllyzu?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 >= -475611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4034 minus 1?\nAnswer: -2.4034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 790 + -697. Let a = 108 + g. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.8972576 rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, u: 9, s: 3, b: 1}. What is prob of sequence buwu?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -5*g - 12, -97*g + 102*g + 14 = i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0 + 4 + 0 - 3 + 2 - 3 + 0 + (-2 - 4 + 4)*(-5 + 1 + 3) - 1 + 0 - 1 - 1 - 7 + 1)*(b + 3*b - 3*b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61 - 37. What is the lowest common multiple of 32 and 213*2\/21 - s\/84?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k - 5. Suppose -2*j - 5*c + 37 = 0, -4*j + 0*c = 3*c - 39. Suppose -d = g + 3*g - 3, 0 = -d - g + j. Let z be a(d). Solve 0 = 4*w - z*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 65 = -25. Let v = 40 - 36. Calculate the least common multiple of k and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(-12))\/((n*n\/((n\/n**(-1\/2))\/n*n))\/n))\/(n**2)**(-10) assuming n is positive.\nAnswer: n**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 75\/105*((-14)\/(-10) + -1). Let x = -2.9 - -3. Suppose -4*z + 6*z - 14 = -2*a, -z + 3*a - 1 = 0. What is the biggest value in x, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -4.06. Let r = m + 0.34. Put 0.2, r, -0.3 in descending order.\nAnswer: r, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**10\/504 - l**6\/60 - l**3 - 2*l**2. Let a(f) be the first derivative of m(f). What is the third derivative of a(g) wrt g?\nAnswer: 1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 54820075 - 3?\nAnswer: 54820072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4612.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3328769?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 27\/26 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 879116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 - 9*v - 3. Suppose -4*g - 30 = g. Let k be b(g). Suppose -2*m + k = m. Solve -m*h + 3*h = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3933480*w - 3162554 with respect to w.\nAnswer: 3933480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -2. Let o(j) = -j**2 + 4*j + 2. Let y be o(n). Suppose -37 = -3*c + y*s, -3*s - 2*s = -20. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 135450 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 2234782682?\nAnswer: 2, 11, 101581031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3075\/(-574))\/((-265)\/(-1855)).\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.198 - -0.392. Let y = l + 31.81. Let q = y + -33.399863. What is q rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of 2*a**5\/5 + 8*a - 7. What is the derivative of z(o) wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1066 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.9 + -0.1. Let y = -1208.13 - -1208. Which is greater: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 215 - 213. Solve -2*w + c*u - 6*u + 4 = 0, 5*u - 5 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + n + 1)*(0*n - 7*n - 5*n - n - n + 0*n + (4 - n - 4)*(-3 + 6 - 1) + 2*n + 1 - 1) as d*n**2 + q + o*n and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) -2\/25  (c) -0.4  (d) 0.23  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 55104 and -164.19644?\nAnswer: 55268.19644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c*j*p**3 + 3*c*j*p - 3*c*j - c*p**3 - 23*j*p**3 - 21*j*p wrt p?\nAnswer: -12*c*j*p - 6*c*p - 138*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -2. Let i(o) = -824*o - 43. Let c be i(-1). Let s = 784 - c. Put 9, 0, s, p in increasing order.\nAnswer: p, 0, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - -12 - 6) + (-7 - 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 5:21 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 31*c - 43. Let w(g) = -78*g + 108. Let z(u) = -12*k(u) - 5*w(u). What is the derivative of z(l) wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1866*n**2 + n + 737*n**2 + 7*n + 659*n**2 to j*n**2 + s*n + d and give j.\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.94233 less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -33 + 5. What is the smallest common multiple of j\/8*12\/(-21) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 455 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -1\/9, -0.5, 4, -14\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -4*q**2 + 68*q + 567. What is w(-12)?\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -3*r**5\/10 - 3*r**4\/8 + r**3 + 273. Determine v so that h(v) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/(sqrt(6)*2 + sqrt(6) + sqrt(6)))\/(1*sqrt(180)) + -5*sqrt(432) + sqrt(432) + (4*sqrt(3)*-4)**2.\nAnswer: -1151*sqrt(3)\/24 + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 2*p**2)*(41*p - 7*p - 8*p - 5) in the form o*p + v*p**3 + d*p**2 + r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 178963104889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129476 is divided by 185?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 40 - 1444?\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -4 - q + 1\/2*q**2 = 0. Calculate q.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9770 + 9792. Solve -5*g = b + 25, -2*b - p*g = -18*g + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -108831, -108949, -109067, -109185, -109303, -109421?\n\"Answer: -118*f - 108713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -953 (base 14) to base 13.\nAnswer: -ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 - 28. Let i = 552\/19 - 4700\/133. Is c at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, -20, 1.\nAnswer: -20, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(0 + (0 + sqrt(432) - sqrt(432))))**2 + -5*sqrt(54)\/(sqrt(8)\/sqrt(4)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 50, 62, 86, 128, 194, 290?\n\"Answer: p**3 + 5*p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 5*q - 3*m, 4*q + 3*m + 18 = 6*q. Suppose -248*z + 243*z + q = 0. Solve 4*p = -4*c, -p = 3*p + 3*c + z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3363 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -6*t**2 + 485*t + 1713. Let n(q) = -2*q**2 + 160*q + 570. Let m(d) = -19*n(d) + 6*y(d). Determine v so that m(v) = 0.\nAnswer: -4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f**2 - f + 2. Let x be t(0). Let q(z) = -4*z + z**3 + 2*z**x - 1 + 2*z + 2*z. Let d be q(-1). Round d to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - 2*d - 4*d)*(1 + 0 + 0).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -287 + 103?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7319, 0.6, -3, 2\/5, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1795708 to the power of 1\/2, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*p**5 + 195*p**4 - 19835*p**3 + 92205*p**2 + 112230*p = 0. What is p?\nAnswer: -87, -1, 0, 6, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 - -43. Let d = -2.16 - -0.16. Let m = d - y. Which is the closest to -1?  (a) 3\/4  (b) -2\/3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043716939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 555*h**3 - 2089*h**2 - 520*h - 16.\nAnswer: (h - 4)*(5*h + 1)*(111*h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/3)\/((-2)\/3). Let i be (f + -2)\/((-3)\/87). Calculate the highest common factor of i and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-34551)\/698)\/(((-1)\/6)\/(((-112)\/21)\/(-16))).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from deddedddde. What is prob of picking 1 d and 3 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 34979.\nAnswer: -8\/34979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 114*t**2 + 450*t + 4362. Calculate the remainder when d(-10) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12389.5 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 20292949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 345777 to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-36)\/(-80) - 5\/20. Let y(z) be the first derivative of -a*z**4 - 7 + 1\/15*z**6 + 0*z**5 + 1\/5*z**2 + 0*z + 0*z**3. Suppose y(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -48, -3, 24 in descending order.\nAnswer: 24, 2, -2, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 70.69687 decades?\nAnswer: 0.7069687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2126, 2111, 2086, 2045, 1982, 1891, 1766?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 - 15)\/((-22)\/(-286))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**3\/5 + 56*m**2\/5 + 54*m\/5 = 0. What is m?\nAnswer: -27, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 13 - u**2)*(4*u + 1 - 1)*(0 - 1 + 3).\nAnswer: -8*u**3 + 72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 4*(-90)\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 77 = 16. Suppose -2*z = k - 334, -69 = -z + 2*k + w. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 13, z: 3, v: 3}. Give prob of sequence yv.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 + 8. Let h(q) = -2*q - 8. Let g be h(m). Suppose 4*b = g*j + 5*b - 24, b = j - 6. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5 + -8)*2\/(-6). Sort -6, t, 5 in increasing order.\nAnswer: -6, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 5 + 15\/(-3) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 342*i - 233*i - 106*i - 3*i**3.\nAnswer: -3*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 112375687 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqeqssjssvq. What is prob of picking 3 s and 1 q?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1545.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21481\/5 + 4297. Let q = -3 - -2.9. Let t = 0.2 + 0.3. What is the closest to q in i, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7381460129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323 is divided by 82?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 3*d**4 + 4 + 9*d - 12*d - 2 in the form w + j*d**2 + u*d**4 + s*d**3 + y*d and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 809173107 divided by -1\nAnswer: -809173107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -3*u - 1423, p - u = -109 - 174. What is the third biggest value in -2\/17, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0  (b) -2\/13  (c) 3  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v - 56. Suppose 1 - 5 = -5*m - j, -2*m = -j + 4. Let z be i(m). Let c = z + 78. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1\/7, 0.5, -0.09117368 in ascending order.\nAnswer: -5, -0.09117368, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3*a**2. Let x(m) be the second derivative of 143*m**3\/3 - m**2 - 930*m. Determine x(t(z)).\nAnswer: 858*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -391  (b) -0.05  (c) 0.243  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -5*r + 5. Let m(y) = y - 1. Let h(z) = j(z) + 6*m(z). Let n(b) be the first derivative of 2*b**3\/3 - 3*b**2 + 3*b - 27. Calculate 6*h(g) + n(g).\nAnswer: 2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*j*j**(-10))\/j)\/j*j*j*j)\/j**(-5\/3)*(j*j*j**(-2)*j)\/((j**(-1\/5)*j*j)\/j) assuming j is positive.\nAnswer: j**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -221841, -443664, -665473, -887268, -1109049, -1330816?\nAnswer: -1552569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 14*r - 31*r + 3 - 82*r. Let k be h(-6). Suppose -3*y = -0*y - s - k, 4*y = 5*s + 796. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/25)\/r**(-10))\/(r**(-2\/59)*r\/(r\/(r**13\/r*r))) assuming r is positive.\nAnswer: r**(-4316\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 4430 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 159386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 - 5*l + 11. What is m(8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-24)\/(-15))\/(6\/45). Suppose 13*d = b*d + 581. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -53 - -55. Suppose -3*j = a - 122, -w*a = 2*j + 2*a - 78. Let l = j + -19. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 6*w**2 - w + 4. Let k be n(6). Let l = -3.81 + 7.81. Let b = 0.5 - 0. Sort b, l, k.\nAnswer: k, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -131846 + 16?\nAnswer: -131830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -10*h + h + h**2 - 1 + 9*h. Let v(o) = 4*o**2 - 9. Give 6*t(r) - v(r).\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z**2 + 0*z + 0*z)*(8*z - 8*z - 3*z**2)*(9*z + 139*z - 3*z).\nAnswer: 1740*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 8*h**3 - 6*h**2 + 2*h + 5. Let x(r) = 4*r**3 - 3*r**2 + r + 3. Calculate 3*q(w) - 5*x(w).\nAnswer: 4*w**3 - 3*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate p**2*q**3 + 134*p**2 - 75*q**3 with respect to p.\nAnswer: 2*p*q**3 + 268*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2649 + 2650.5. Which is the nearest to 0.06?  (a) 2\/7  (b) k  (c) -1\/6  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 593*g + 7 + 11 - 26 + 8 to the form a + u*g and give u.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-12\/5)*f*f**(-3)*(f**(-2\/5))**44 assuming f is positive.\nAnswer: f**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/13 + 7570*a**2\/13 - 7572*a\/13.\nAnswer: 2*a*(a - 1)*(a + 3786)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -o*q**2*u - o*q**2 - 12*o*q*u - 5*o - 18*u wrt q?\nAnswer: -2*o*q*u - 2*o*q - 12*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4)\/22 - (2 + (-503)\/165) and 40\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11292280 divided by -2258456?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 14 = -2*r, -3*u - 24 = -4*r + u. Let q = -8 + r. Let h = -3 - -4. What is the nearest to h in -2, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7875)\/3375*(-204)\/(-14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 3*l = -4*v - 6949, 4*l = v + 5568. Let f = 2398 - l. List the prime factors of f.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 396306949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**1\/a)**49*a**(-1\/2)*a\/(a\/a**(-7)))**25 assuming a is positive.\nAnswer: a**(-375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5589)\/138*732\/(-18117).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 382996, 382950, 382898, 382840, 382776, 382706, 382630?\n\"Answer: -3*x**2 - 37*x + 383036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 107 divide 2176750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*h - 89*h - 49*h - 36*h.\nAnswer: -181*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*t + 4 = -51. Suppose 2*p - 3*d - 16 = 0, 0*d - 3*d = -t*p + 40. Solve -3*f - p = 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, v: 8}. Give prob of picking 2 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 3*k**2 + 5*k - 1. What is the remainder when (-258)\/(-16) - 48\/384 is divided by g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/(-616)*(-28)\/24?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ktktkkktttkt. What is prob of picking 2 k?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 6*l + 2. Calculate the remainder when 8 + (l - 4)\/(-3) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 (base 12) in base 2?\nAnswer: 10011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.3 - -58.3. Let p = 54 - -5. Let k = p - d. Which is the closest to 11?  (a) k  (b) -0.2  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 4*s - 22, 4*w = w - 3*s - 9. Let u = -3 + 3. Suppose u*t - 5*t = 5. Sort t, w, 1.\nAnswer: t, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -15*o**2 - 13. Suppose -5*m - l = 29, 0 = 5*m + 5*l + 14 + 11. Let t(j) = -7*j**2 - 6. Calculate m*h(w) + 13*t(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 89 + -59. Let i(c) = c**2 - 18*c + 20. Let y be i(17). Suppose p = y*p - n. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from essesoes. Give prob of sequence ss.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26690.\nAnswer: 2, 5, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/6)\/((-2)\/3728). Let p be (k\/(-10))\/((-2)\/(-5)). Suppose 2*s + p = 5*j + s, -j + s = -49. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/268280 and 117\/31640?\nAnswer: 212209480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15 by -4374.\nAnswer: 5\/1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2)*(0 + 0 + a)*(-16 - 9 - 7) - a + 1 - 1.\nAnswer: -65*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32 - 9*f**3 + 32 - 2*f**2 wrt f.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 42, 82, 122, 162, 202, 242?\n\"Answer: 40*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 245271 is divided by 122475.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26273.\nAnswer: 13, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120151.\nAnswer: 53, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 - 7. Suppose 11*h = 9*h + q. Suppose -5 = 3*w - 8*w. Calculate the greatest common divisor of h and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3306c - 4?\nAnswer: -33073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*t + t, 2*g - 2*t + 570 = 0. Let y = g + 331. Calculate the remainder when 107 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert c82b6 (base 14) to base 12.\nAnswer: 1b3974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 0 + (1 + 2 - 1)*(5 - 1 - 3) + 0 - 1 - 1)*(-17*k - 15 + 15).\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*r + 3)*(-2*r**3 + 0 + 0) + r**4 - 4*r + 4*r + 3*r**4 + r**4 - 2*r**4 - 3*r**2 + 3*r**2 + 4*r**4 + 8*r**4 + 7*r**4 - 8*r**4.\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vitylitvb. Give prob of picking 2 i, 1 v, and 1 l.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -90, -4718, 0.5, 7, 0 in decreasing order.\nAnswer: 7, 0.5, 0, -90, -4718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(110) + (sqrt(110) - (sqrt(110) - sqrt(110)*2)) - sqrt(110)))\/(sqrt(490) + sqrt(490)*2)*-4.\nAnswer: -8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/81)\/(11\/(-4)*44170\/48587)\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1597, 1738, 1985, 2344, 2821?\nAnswer: 3422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 0, -34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14364 - -22637. What are the prime factors of j?\nAnswer: 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -6 - 9*r + 0*r**2 - 4*r**2 + r**3 + 9*r**2. Let u be ((-12)\/(-14))\/(-2*5\/70). Give p(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, 4, 11, 18?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7305381 to the power of 1\/2, to the nearest integer?\nAnswer: 2703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of 14*x**3\/3 + x + 8. Let p(i) = i**3 - 17*i**2 - 17*i - 19. Let u be p(18). Determine l(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*j**3 + 5*j**3 - j**3 - 8*j + j**3 + 8*j + (-1 + 1 + 2*j)*(-5*j**2 + 2*j**2 + j**2) + 5*j**3 - j**3 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 215*p**2 + 25*p + 55. Let g(w) = -27*w**2 - 3*w - 7. Let q(k) = 3*b(k) + 25*g(k). What is the first derivative of q(j) wrt j?\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 789459\/16 greater than or equal to 49342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 116 = -2*a, 6*u - 102 = 2*u + 5*a. Suppose f = 5*f - u. Find the first derivative of 12*k**2 - f*k**2 - k**2 + 5 wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*u + 27 - 34 - 8*u)*(-1 + 2 + 1).\nAnswer: -4*u - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w. Let r(h) = -h + 1. Let y be 6\/(-12)*(-5 + -1). Let f(b) = y*r(b) + x(b). Let c(k) = -2*k + 7. Give -2*c(v) + 5*f(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3, 10, 17, 24, 31, 38?\n\"Answer: 7*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2246, -2248, -2250, -2252, -2254?\n\"Answer: -2*i - 2244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 97, 194, 291, 388?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -143*q - 13. Let i(z) = -72*z - 7. Let s(n) = -11*i(n) + 6*o(n). Let u be s(-1). What is the greatest common divisor of 26 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9 or 325\/34?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 + 3 - 3 + (-s + 2 - 2)*(-4 + 2*s + 4) + (-8*s - 2*s + 0*s)*(-2*s + s + 0*s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 163603630 + 141?\nAnswer: 163604101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p - 14 = 36. Suppose -3*w - x + 35 = -p*x, 0 = -2*w - 5*x + 8. Solve 0 = -y - k + 6, w = 5*y + 4*k - 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -35*k**2 - 106 - 87*k**2 - 288*k**3 + 106 wrt k.\nAnswer: -1728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 5460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -3. Calculate the smallest common multiple of 44 and 0\/l + -3 - -35.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -3  (b) -533  (c) 3  (d) 2  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8488448\/19 or 446759?\nAnswer: 8488448\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -33  (b) 2  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = -16*s - 7. Let r(b) = b**3 + 6*b**2 + 9*b + 2. Determine r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1103824283 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-6)\/(-2))\/(-12))\/(60*10\/10400)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -3*z**4\/4 + 10*z**3\/3 + 3. What is the third derivative of q(m) wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -12 - 18 + 5*h**3 - 4*h**3. Let u(x) = 18*x. Determine u(v(i)).\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) -5  (c) 5\/9  (d) -4\/3  (e) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 29026*t. Let d(q) = q**2. Determine j(d(n)).\nAnswer: 29026*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 378703924.\nAnswer: 2, 23, 29, 43, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2\/133 - -514\/1197. Let f(t) = t**3 - 6*t**2 + 6*t - 4. Let p be f(5). Let i = -20\/153 - -6\/17. Which is the closest to p?  (a) i  (b) l  (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 15 - 3. Suppose -y*x + 139 = -176. Let c be ((-14)\/4)\/((-19)\/228). Calculate the highest common divisor of x and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 - 2*g + 2. Let w be d(-3). Let s = 323 - 319. Which is the closest to s?  (a) -0.3  (b) w  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20240450 (base 6) to base 5\nAnswer: 122041112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124 = 5*w + 4*g, 4 - 160 = -5*w + 4*g. Suppose 2*d - 58 = w. Suppose 0 = -4*t + 1 + d. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 1003222?\nAnswer: 1003215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4287 - 12923 + 4309 + 4307 - 20*p.\nAnswer: -20*p - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1057210*i**3*q**2 - 4*i**3*q + 11443925*i**3 wrt q?\nAnswer: 2114420*i**3*q - 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**2 - 2*u - u**2 + 0*u + (-4*u + 0*u + 3*u)*((0*u + u - 3*u)*(-6 + 3 + 5) + 3 + 2*u - 3 + u + 2*u - 4*u - 444 - 10*u + 444).\nAnswer: 11*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 - 2. Let t be y(0). Let b be 0 - t\/(2 + -3). Let w be (-2 + 1)*(b - -6). Sort w, -2, 1 in increasing order.\nAnswer: w, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3 = -19. Let c(r) = -2*r**2 + 2. Let s(i) = -9*i**2 + 11. Let f(u) = w*c(u) - 2*s(u). Let j(a) = 2*a. Calculate f(j(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -295*m**3 + 456 + 292*m**3 + 1123.\nAnswer: -3*m**3 + 1579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 + 32*d**2 - 36*d - 122. What is n(31)?\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n + 1. Let i(w) = 6*w - 24. Let o(k) = -i(k) - 4*v(k). Let q be o(-6). Let c be q\/(-18) - 4\/18. Which is bigger: -10\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 90, 145, 218, 315, 442, 605?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -13*u**2. Let r(m) = 3745302*m. Calculate r(o(c)).\nAnswer: -48688926*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50 = 35*p - 55 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17*w**3*z**2 + 69*w**3 - 9645*w**2*z**2 + w**2 - 2*w*z - 3*w + 88*z wrt z.\nAnswer: -34*w**3 - 19290*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a factor of 750642327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4148 divided by -1992.\nAnswer: -1037\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + h - 4. Let v(m) = 50*m**3 - 16*m**2 - 16*m + 54. Let w(p) = -v(p) - 12*x(p). Let l(k) = -k**3 + k**2 + k - 1. What is -4*l(u) + w(u)?\nAnswer: -46*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 6 + 2)*(-16 + 16 + 2*v).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 5:54 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {c: 4, k: 2, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -v - 1. Let i(m) be the third derivative of m**4\/24 - m**2. Let h(l) be the second derivative of 5*l**3\/6 + 4*l. What is v*i(r) + h(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 3*t + 5. Suppose -3*o + 2*c = -2, c = 5 - 3. Let l be n(o). Solve -2*u + 6 = 3*g, -2*g + 2 = -l*u - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10576 + 10558 + 1 + (-1 - -3) + -33?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 4*w**2. Let z(k) = 6160119 + 0*k**2 - 6160119 + 3*k**2 + 30*k. Calculate z(l(u)).\nAnswer: 48*u**4 + 120*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 2*u - 864, -u - h + 2*h + 435 = 0. Suppose 4*y + 362 = -3*o, -5*y - 3*o = -7*o + u. Let z = y + 157. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y*y**(3\/11)))\/y)\/y**(-10\/9))\/(y**(-1\/3)\/y)**(3\/16) assuming y is positive.\nAnswer: y**(35\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*i**3 + i**3 + 12*i**3 + (2*i - 5*i + 2*i)*(-2*i**2 - 5 + 5).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 108, 339, 570, 801?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 195641370 divided by 1906?\nAnswer: 102645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (24 - (14 + 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6769639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.9 - -0.1. Let x = -5 + 8. Suppose q + 4*d + 4 = -x*q, -5*q + 7 = -d. Which is the closest to 2\/3?  (a) p  (b) -1\/9  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3 + 32999*b**2 + 242568655*b - 502139217975.\nAnswer: (b - 1671)*(b + 17335)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wsuugrag. Give prob of sequence ragu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 243*k**3 + 5*k**2 + 5. Let z(r) = 244*r**3 + 6*r**2 + 5. Let h(m) = 6*o(m) - 5*z(m). Differentiate h(w) wrt w.\nAnswer: 714*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k + 2*o - 10, -4*k = -5*o - 0 + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 10*r**2 - 36*r + 10. Let y be c(10). Let z = y + 150. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 25*x - 106 + 49 + 37. Is 80 a factor of v(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9405 take away -0.018864498?\nAnswer: -9404.981135502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1254420 is divided by 622?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus -2717781?\nAnswer: 2717780.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 273*h - 6825. Let w(o) = -5. Calculate -2*j(x) + 2730*w(x).\nAnswer: -546*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 4*f**3 + 2*f**2 + 2*f + 1. Let d(b) = b**2 + b - 1. Give -2*d(z) + y(z).\nAnswer: 4*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -9 + (3 - (-4)\/2) - -158. Suppose 6*g - 2*g = 88. Calculate the highest common divisor of t and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**3\/3 + 12850*l**2\/3 - 25706*l\/3 + 12854\/3.\nAnswer: 2*(l - 1)**2*(l + 6427)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 2:49 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8500979*c*d - 19075350*d with respect to c.\nAnswer: -8500979*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 4:12 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110014183?\nAnswer: 1087, 101209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.16472 years in millennia?\nAnswer: 0.07216472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 - 7*f. Let y(k) = k**2 - 4*k. Suppose 7*u + 2 = 8*u. Suppose -2*d = -u*l - 5*d, -2*l + 4 = d. Calculate l*b(g) - 5*y(g).\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j = -58*j + 918 + 234. Solve -5*m - j = 3*i, -30*i + 33*i + 15 = -2*m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 28 + -43. Put 5, f, 1 in increasing order.\nAnswer: f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-36)\/54 + (-4)\/3. Let i be (-1 - m)\/(8\/12560). Is i\/30 + (-4)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, c: 2, n: 3, p: 1}. What is prob of sequence fcp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3729 - -0.3722258. Round n to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*c**3\/11 + 1160*c**2\/11 + 9962*c\/11 + 1156\/11 = 0. Calculate c.\nAnswer: -17, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(175) + -3)**2 + -1 + -3.\nAnswer: -30*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6877*g*i**4 + 15*g - 2*i**5 + 329*i**2 wrt i?\nAnswer: -165048*g*i - 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(36))\/sqrt(6) - sqrt(36)\/sqrt(54))\/((sqrt(512) - (sqrt(512)*2 + sqrt(512) - sqrt(512)) - sqrt(512))\/sqrt(4)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 19 = 2*a, a - 4*a - 2*o = 4. Let q(n) = 6 - 10 - a + 5 + n. Give q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of 4*r**2 + 5*r + 2. Let w be (-78)\/(-8) - 3\/(-12). Let n(h) = -6 + 2*h - w*h - h. Give 7*l(a) + 6*n(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -50 in 3, 0.3, -50, 0.1?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -6*u - 4. Is 8 a factor of d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 4*l**3 + 5*l**2 - 88*l**4 - 79*l**4 - 2*l + 166*l**4 - l**2 as c*l**3 + i + z*l**2 + j*l**4 + r*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -5*l**3 + 3*l + 1. Let b = -13 - -20. Suppose -7*g - 7 = b. What are the prime factors of p(g)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**5)**(-41)\/(x**4*x**(6\/13)))**(12\/7) assuming x is positive.\nAnswer: x**(-4668\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1.686, -31\/39.\nAnswer: -3, -1.686, -31\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -81 + 76. Which is the fourth biggest value?  (a) -1  (b) -3\/5  (c) q  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4455874945 to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 217\/93*(-6)\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7876843*y**5 - 11*y**4 - 472190661*y**2 wrt y?\nAnswer: -472610580*y**2 - 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(((-4)\/(-2))\/4). Suppose 0 = 4*l - o - 6. Solve 1 = -l*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -267 + 190. Let o = y + -16. Let z be 8\/12 - o\/9. Solve -1 = 2*v - z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25 + -14. Let k = x - -10. List the prime factors of -2 - (k + 2)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0648266l in millilitres?\nAnswer: 64.8266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z - 9. Let w be r(6). What is the second derivative of 10*i**3 - 2*i - 10*i**w + 2*i**5 wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of -c**4\/12 - 13*c**3\/6 + c**2. Determine q(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1057*n**2 - 655*n**2 - 942*n**2.\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c**3*q - 3768964*c**2*q**2 - 24*c*q**2 - 4*c - q**2 - 88*q wrt c?\nAnswer: 6*c*q - 7537928*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of 4*f**5\/5 + 5*f**3 - 95*f - 6. Differentiate c(a) with respect to a.\nAnswer: 16*a**3 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -16*c - 8. Let f(o) = -5*o - 3. Let v(k) = -3*d(k) + 8*f(k). Let j(s) = s. Determine j(v(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2766 + -2737.07. Let k = 0.07 + a. Let u = k - 31. What is the third biggest value in u, -2\/7, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 12 = -3*d. Suppose -4*t = d*y - 39, 0 = -3*t + y - 4*y + 33. Suppose z = 4*z - t. Solve -z*b = -0*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of -u**5\/60 + u**4\/4 - 2*u**3\/3 + 39*u**2. What is the units digit of v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of 5*q + 0*q**2 + 15 + 13\/3*q**3. What is the first derivative of d(y) wrt y?\nAnswer: 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 PM and 11:54 PM?\nAnswer: 352","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4311001 - 23?\nAnswer: 4310423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-2*(-309)\/(-15))\/((-910)\/150 - -6) and 824?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1437*v**5 - 9*v**2 + 83?\nAnswer: 86220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14636179 divided by 701.\nAnswer: 20879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9d + 8?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -10*f + 147 - 95. Which is the nearest to -0.1?  (a) f  (b) 2\/11  (c) 5  (d) 785\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 101 = 139. Suppose -v + 10 = 5*n, -4*v + 12 - h = -2*n. Let w(c) = -c + 1. Determine w(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -571 (base 8) in base 9?\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c - 4*c + 2*c + (24 - 6 - 6)*(-c + 2*c + c))*(3 - 4 + 2)*(1 + 0 - 3).\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 15, 63, 161, 327?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 11  (b) 0  (c) -0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*x**6 + 14*x**5 - 9846*x**3 + 770082*x**2 + 3*x wrt x.\nAnswer: -240*x**3 + 840*x**2 - 59076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -11*175\/44000*-40?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from yfbbyp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -7, -1, -3 in increasing order.\nAnswer: -7, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*w + 11*w - 20*w - 1176 = 0 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2 + 3 + (sqrt(832)*-4*-6 + 5)*-2)**2.\nAnswer: 6912*sqrt(13) + 1917010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 80 = 4*o. Suppose o = -0*g + 5*g. Let i(j) = 2*j. Suppose -2 + 0 = -4*n + 5*r, -5*r = -2*n - 4. Let m(v) = -v. Calculate g*m(w) + n*i(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -26175000 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101110010 + -11011000?\nAnswer: 10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 at most 254\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**3\/3 - 5*i**2\/2 + 3*i + 1. Let c be r(-5). Suppose 0 = -5*w + 4*w + c. Solve -w*m = m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2637.9 - -2637.5. Let j = 11 + -11.8. Let y = j + -3.2. Which is the closest to -0.09?  (a) y  (b) 2\/11  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -778, -1551, -2324, -3097, -3870, -4643?\n\"Answer: -773*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 54 = k, -3*y + y + 242 = 5*k. What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122 - 1121?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -171*r + 171*r - 103*r**2 as l*r + o*r**2 + b and give o.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104410*i**2 + 208901*i**2 - 104487*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 6*k**2 + 10*k + 1. Suppose -2*a + 0*a = -8. Let p(d) = -1 + d + 6 + d**2 - a. Let g(v) = -5*p(v) + q(v). Give g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f\/(f*f**14))\/f*f\/(f\/(f**(2\/13)\/f)))**(-6)*(f**(2\/21)\/(f\/(f*f**(2\/13))))\/((f**3\/f)\/(f\/(f\/(f\/f**(-5)*f)))) assuming f is positive.\nAnswer: f**(25751\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 40035707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 - ((144 - 143) + (-11 - -2))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -110, -367, -790, -1379, -2134, -3055, -4142?\nAnswer: -5395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2944853709?\nAnswer: 3, 7, 331, 461, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -7*g**2 - 32*g + 4. Let d(u) = u**2 - 2*u. Determine -2*d(q) + m(q).\nAnswer: -9*q**2 - 28*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57, -102, -149, -198?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -729581082 + 364790541 + 364790541 - 717*s.\nAnswer: -717*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + 13525?\nAnswer: 13525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 82 in -0.28, -3, -0.6, 4, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 119 - 100. Which is the closest to -0.1?  (a) 2  (b) u  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 a factor of 142120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 14, 7\/12 in increasing order.\nAnswer: -5, 7\/12, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*j - 2720 = 14*j - 29212. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 - 64*w**2 - 449*w - 175. Determine i(-56).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 0)*(8*i - i + 2*i).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -18847243 take away 0.0031?\nAnswer: -18847243.0031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*75\/(-90))\/(184\/1564).\nAnswer: -85\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5771250?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -12*f + 9. Suppose -19*u + 40 = -21*u. Let z = u + 19. Let q be d(z). Solve -i + q = -t - 5*i, 2*i + 8 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6118782?\nAnswer: 2, 3, 23, 101, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 4 = -h. Solve x + h = 2*b - x, b + 4*x + 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 3*m**2 + 11*m + 6. Let d(j) = 3*j**3 - 5*j**2 - 22*j - 10. Determine -3*d(t) - 5*w(t).\nAnswer: -4*t**3 + 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l. Let u(n) = -57*n. Let x(r) = -58*r. Let q(f) = -4*u(f) + 6*x(f). What is q(b(j))?\nAnswer: -240*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09213665255 rounded to 3 dps?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - 8. Let z(d) = -d**2 - 9*d + 2. What is the units digit of z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111010001111111101100 (base 2) in base 4?\nAnswer: 13101333230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 12*m**2 - 9*m - 6. Calculate w(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3744 + 3744 + 1341*x to the form s + h*x and give h.\nAnswer: 1341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*k + 840 = 40*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 22909*h. Let l(u) = -8*u**2. What is t(l(j))?\nAnswer: -183272*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2a41 (base 12) in base 13?\nAnswer: -2335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 35 - -31161.98.\nAnswer: 31196.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 6. Suppose 4*x - b = 15. Solve 3 = 3*g - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -93*o**2 + 87*o - 16. Let z(b) = -23*b**2 + 22*b - 4. Let k(y) = 2*m(y) - 9*z(y). What is the hundreds digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 130314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1509.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4391, -4389, -4387, -4385?\nAnswer: -4383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1907*c + 5354*c + 2782*c + 849*c.\nAnswer: 7078*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 6. Suppose g - 2*h + 65 = 0, 2*h + 253 = -r*g + 3*h. Let m be g\/14*2\/(-3). Solve m = -2*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*w + 792 = -26*w. Let n = 59 + w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 50 - (124 - 53 - 27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 9780243 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -158*n**5 + 2*n**2 - 411*n?\nAnswer: -3160*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5894, 11775, 17656?\nAnswer: 23537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -14*k**2 - 649*k + 1415. Give n(-52).\nAnswer: -2693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2*w**2 + 3*w**2 - 1486*w + 1488*w. Determine i(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 5*v - 11, 3*c + 2*c = 4*v - 2. Suppose c*m - 1 = 15. Suppose 2*s - m - 32 = 0. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 7*b + 10. Let z(i) = 15*i + 21. Give -13*k(r) + 6*z(r).\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of m**3\/6 + 259*m. Let i(q) = -2*q - 2. Calculate n(i(a)).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -3, -37993\/5?\nAnswer: -37993\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 111606.86 + -110605. What is t rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.5, 1\/6, 4, 14054, -408, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 773135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 303.13036 + -303.2. Let l = 76.64964 + p. What is l rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.34613*0.13.\nAnswer: -0.0449969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 245 - -2048. Is 67 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/51  (b) 4  (c) -10  (d) 0.3  (e) 9\/10  (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -51*c**2 + 1. Let w be d(2). Let s = w - -394. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (-5 - (-2 + -1)) - 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 + -2 + -6)*-7. Suppose -56 = -5*m - 3*f, 2*m + f = c + 2. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-150*b**3 + 71474*b**2 - 71474*b**2)*(3*b - 2*b - 2*b).\nAnswer: 150*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11290 and 4?\nAnswer: -45160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y\/y**(-2))\/y)**25 assuming y is positive.\nAnswer: y**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1854 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: Calculate the lowest common multiple of 126 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -71 - 1. Does 24 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29.78279l?\nAnswer: 29782.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**2. Let z(d) = 11860*d. Give z(r(t)).\nAnswer: 23720*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -260*q**3 + 4*q**2 + 4*q - 168. Let a(j) = -260*j**3 + 5*j**2 + 5*j - 168. Let p(d) = -4*a(d) + 5*m(d). What is the derivative of p(w) wrt w?\nAnswer: -780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 27  (b) -0.3  (c) -3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (342*19\/114)\/(-1)*3\/9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3835130 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 3*j**5 - 39*j**3 + 108*j = 0.\nAnswer: -3, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.8 minus 51.28215?\nAnswer: -26.48215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6b (base 12) to base 16\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36, 38, 38, 36, 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2106455*i**6 + 2*i**4*v + 71*i**2*v - 1161*i*v - 3*v wrt i?\nAnswer: 252774600*i**3 + 48*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 342 = 2*c, 2*c - 5 = -3. Suppose 4*r = -r + x. Suppose -3*g + 119 = r. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -83*b**2 + 2*b. Calculate v(-1).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -34?  (a) -10179  (b) -1\/3  (c) -6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -124 - -243\/2. Which is the closest to -1?  (a) 4\/3  (b) g  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6925930.\nAnswer: 2, 5, 11, 79, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 311*l**2*n**4 - l**2*n**2 + 4*l**2*n - n wrt n.\nAnswer: 7464*l**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 0*l + 112. Let q be ((-6)\/15)\/(l\/(-10)). Let m = -5 - -2. What is the second smallest value in q, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.216*-15.\nAnswer: -78.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -189 + 173.1. Let h = -16 - k. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 - (0 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 3021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34 + d**2 + 34 - 69 + d + 4*d**2 to the form u + v*d + a*d**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**4 - 2*j**3 + 356*j**2 + 1160*j - 3696 = 0.\nAnswer: -11, -6, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -22572 divided by -1\nAnswer: 22572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 20*a - 26. Let s be m(1). Suppose -4*r = 3*t + 55, 4*t + 66 = 2*r + 22. Let v be (t\/(-15) - 1)*35. Which is smaller: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in 13, 0, -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from cecebeckkccbbcnn?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19014781931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 115660004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.14 - -0.22. What is z rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 c when three letters picked without replacement from ngrlclcnnrgnn?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -70*d + 69*d + 2*i + 6, 0 = 2*d - 2*i - 8. Solve 0 = -d*n + 20*n - 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 172524, 172525, 172526, 172527?\n\"Answer: t + 172523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.014, 4, -1\/2, -4 in decreasing order.\nAnswer: 4, -0.014, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/5*(-2)\/(-6)*2640\/22.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jee when three letters picked without replacement from jeweejwwe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -145*z + 144*z + 34. Differentiate 18*k**2 + z*k**2 + 69 - 15*k**2 + 216 + 50*k**2 wrt k.\nAnswer: 174*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 296.22\nAnswer: 296.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 0 + -1 - 1 - ((-182 - -173) + 69)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -z**6 - 304*z**4 - 3*z**3 - 18*z**2 + 119*z wrt z?\nAnswer: -120*z**3 - 7296*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 764587398 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*x - 1129 = -1428 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d**2 - 14*d - 86. Let s be m(20). Let z = s - 429. Calculate the highest common factor of 195 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, -129, -9, -0.2 in increasing order.\nAnswer: -129, -9, -5, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 + 4*p - 12. What is r(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 4*s - 4*a, 4*a = 40*s - 45*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28663*b - 69042 + 69042.\nAnswer: 28663*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29424 - 29338 = 5*w - 4*i, -3*i - 76 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 r when four letters picked without replacement from {e: 1, w: 1, r: 7, u: 4, o: 2}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87849?\nAnswer: 3, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24860208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.07813 and 0.56.\nAnswer: -0.0437528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 + 2*y**2 - 4*y - 1. Let g be w(3). Let l = g + -16. Suppose -l = -o - 3*o. Solve 0 = 3*d + 2*u - o, 3*d + 5*u - u = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/189 or 0.277?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 33432 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 73248.61mg in kilograms?\nAnswer: 0.07324861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 100659536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-4) + (-38)\/(-8). Let m = p - 7. Put m, 4, 5 in decreasing order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -0.13, -7, 5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -159 at least as big as -796\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - 2*b**2 + 33*b + 12. Let k be t(5). Solve 2*n - 1 = -5*u, k*u + 17*n - 13 = 12*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 4:52 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**6\/n**(-2\/15))\/(n**(-1\/3)\/(n**(19\/3)*n)))**(-10\/11) assuming n is positive.\nAnswer: n**(-138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -124234333 + 23?\nAnswer: -124234310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) 8  (c) -4  (d) 5  (e) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1622\/(-3) - 2\/(-3). Round t to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 + -30 + 27 + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2200 - -102201?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v = -v + 94562 + 99961. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/74135 and -34\/74135.\nAnswer: 74135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -72*l + 19. Let f(c) = -2*c. Let k(v) = -81*v + 20. Let o(t) = 4*f(t) - k(t). Let b(h) = -4*n(h) - 5*o(h). Differentiate b(a) wrt a.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -847*g + 1706*g - 860*g. Let u(o) = 3997*o**2. Give s(u(b)).\nAnswer: -3997*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 2*o - 6, -2*o + 5*o + 13 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2 = -5*l, -3*m = -4*l - 6 - 26. Let a = -2 + 7. Solve -n - a*d - m = 0, -2 + 6 = -2*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 131862929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 15 = 7*m. Let x = 41 - 37. Solve x*v - m = 5*c + 6, -4*c = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qkkucuuvvuxvku. What is prob of picking 1 x and 2 v?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -6*w**2 - 3*w**2 + 2*w + 2*w**2 - 1. Determine l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.7 - 0.8. Let j = -6528 - -32644\/5. What is the fourth smallest value in 21, j, -4\/5, p?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*f - 184 = 206 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 561*i. Let p(y) = -14*y. Determine 119*p(q) + 3*w(q).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25.3 - -4.3. Let l = -74 - i. Let m = l + 53.03. What is the biggest value in m, -4, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 275715869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**4\/11 - 14*l**3\/11 + 18*l**2\/11 + 14*l\/11 - 20\/11 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6372417757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -167*a**2*c**3 - 2*a**2*c**2 - 10*a**2*c + 2*a*c**2 + 336*a*c + 2*c**3 - 2 wrt a?\nAnswer: -334*c**3 - 4*c**2 - 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 32, -2\/3, 3.8, 1, -1, 19 in increasing order.\nAnswer: -1, -2\/3, -1\/5, 1, 3.8, 19, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -33898, -38512, -43126?\n\"Answer: -4614*q - 29284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 952.5137ml to litres.\nAnswer: 0.9525137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6021707 is divided by 3010814.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2081155 minus 112?\nAnswer: -2081267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -4*t**3 - t**2 - 2*t - 1. Let a = 4 + -5. Let v be l(a). Let b(m) = -m**3 + 4*m**2 + 3*m - 3. What are the prime factors of b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from kbkkbkkkbk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1128 is divided by 376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12535730 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 b when three letters picked without replacement from btbtbttbtbbtt?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8618, -17245, -25870, -34493?\nAnswer: -43114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**2 + 32*v + 23. Suppose 2*j - 96 + 26 = -4*q, 10 = q - 2*j. Calculate the remainder when p(q) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/7*-11 + 2. Let k = 204171\/7 + -29040. Let r = 127 - k. Sort r, 1\/5, t.\nAnswer: r, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 125519622637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + -2 + 0)**2 + 5 + ((-5*sqrt(99)*2)\/sqrt(9))**2.\nAnswer: -4*sqrt(11) + 1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39\/(-169))\/(4*(-3)\/(-4))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 6*l**3 - 14*l**2 + 22*l - 38. Determine t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 4*k - 30. Let m be b(10). Let q be ((-2)\/m)\/((-9)\/90). Suppose -5*a + 3*u = -14, -4 = -2*u - 0*u. Solve q*v - a*f = -0*f - 16, 3*f = 2*v + 13 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69657 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/(-3))\/((-12)\/(-18)). Solve 0 = -5*t + h + w*h + 30, 16 = -2*t - 5*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = r + 2, -19*r - 5*j - 18 = -23*r. Let t(u) be the third derivative of -1\/96*u**4 + 0 + 1\/120*u**5 + 0*u - 1\/480*u**6 + 0*u**3 - u**r. Factor t(a).\nAnswer: -a*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1289821.60639 - -0.35?\nAnswer: -1289821.25639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 2 = -3, 2*g = -3*s + 23. Suppose -g = -5*w + 10. Suppose -3*t = -j + 21, w*j + 2*t - 154 = -0*t. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/52 - (-3)\/(-325)*5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 231199967 is divided by 1001.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6aa + -28?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 10*z**2 + z + 2. Calculate g(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(75) + sqrt(75) + 4*sqrt(75)*-5 - (sqrt(75) + (sqrt(75) - (sqrt(75) + 4 + sqrt(75) + 2)))) + -3)*6)**2.\nAnswer: -19440*sqrt(3) + 875124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/1 - ((-12)\/3 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1640864 (base 9) in base 12?\nAnswer: -380211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13777 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124934 is divided by 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -301 (base 9) to base 6.\nAnswer: -1044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 + 15*s**2 - 25*s + 14. Let g be j(7). Suppose g = 6*d + 5*d. Solve -6*v + 3*v - 3*n = -d, 3*n = 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 775 - 773. What is the fourth smallest value in 0.4, 1\/4, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 7 = -3*j, 0 = 2*g - 5*j + 17 - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*k - 67717 = -71637 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xlcc when four letters picked without replacement from cxllclllll.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2584824331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 111*t + 3. Let n(v) = 19*v - 714 - 718 + 2148 - 716. Give b(n(m)).\nAnswer: 2109*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = a, a = -5*f - 4*a + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 221 + -1550\/7. Let i = h + 33\/28. What is the nearest to 0.1 in 1\/2, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 94787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, -12, 1 in ascending order.\nAnswer: -25, -12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50913 + 50913 + 2019*u)*(-1 + 1 - 3*u).\nAnswer: -6057*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((396\/(-10))\/(-6))\/((-1)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.2  (b) -3\/4  (c) 21  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2 + 4. Let a be 50\/(-24)*q\/20. Let w = a + -23\/120. What is the nearest to w in 2\/5, -1\/2, 1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 287, 292, 307, 338, 391, 472, 587?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 55794210019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2041391 is divided by 2793.\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 1)*(0*g**3 - 2*g**3 - 5*g**3) + 4*g**3 + 0*g**3 - 2*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 0.3  (c) 3\/2  (d) -0.2  (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6444 and 23628?\nAnswer: 70884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/164  (b) 0.1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2870 (base 12) to base 3\nAnswer: -20102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from ggkgggggggkgg.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 + 535?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 97*x - 1368. Calculate o(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 214 + -210. Solve -m = -2*c - 0 + 1, 4*m + 8 = q*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - u = -13, -4*f - 135*u = -133*u - 32 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -127, -118, -109?\n\"Answer: 9*o - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3521.75 rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 415 + -417. Let w = -0.09 + 0.18. Is q < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + (12 - 9 - 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*g**2 - 35*g**3 + 14*g**2 - 2*g**2 + 2.\nAnswer: -35*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 3*z + 7*z - 5*z. Let c(y) be the second derivative of -y**5\/120 + y**3\/2 + 6*y. Let d(p) be the second derivative of c(p). What is s(d(k))?\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q**6*q)*q\/q**7*q\/q**(-3\/8)*q*q*q**(-9) assuming q is positive.\nAnswer: q**(-141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 4*l = -40. Calculate the remainder when l is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 12*j + 2. Let z be y(2). Let l = 34 - z. Suppose 13*d - l*d = 1910. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of -9*m + 0*m**6 + 0*m**3 + 0*m**5 - m**4 + 0*m**2 + 0 + 1\/42*m**7. What is the third derivative of n(u) wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (35\/(-14))\/5*0. Suppose -4*h + 78 - 62 = b. Let m(z) = z**2 - 7*z + 7. What is m(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 4*k - 2*k - k + 4. Let g be i(-4). Let t be 4\/(-14) + (-51)\/(-7). Solve g = -2*w - t - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -68*c**3 + 2*c**2 + 35*c + 19. Let z(i) = -34*i**3 + i**2 + 19*i + 10. Give -6*f(d) + 11*z(d).\nAnswer: 34*d**3 - d**2 - d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 - 0. Suppose -2*l - 3*l + 35 = 0. Let p(f) = -l + 5 + f - 8*f + 0*f. Calculate p(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -106 - -100. Let k(w) = 6*w**2 - 3*w - 8. Let j(z) = -z**2 + z. Let f(m) = -5*j(m) - k(m). What is f(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 - 0.3. Let h = k - -0.6. Let y = -3488 - -3488. Which is the nearest to y?  (a) h  (b) -4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285 a factor of 176040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 112\/40*5\/2. Let k = -5 + j. Let w(i) be the first derivative of -3*i**4\/4 - 2*i**2 - 5*i + 181. Let u(r) = -r**3 - 2*r - 2. What is k*w(m) - 5*u(m)?\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 10*h**2 + 16*h + 3. Let k(y) = -5*y**2 - 8*y - 2. Let v(o) = -7*k(o) - 4*n(o). Let a(u) = -3*u**2 - 5*u + 1. Give 8*a(f) - 5*v(f).\nAnswer: f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-3) + 41 + 2. Suppose -3*f - z = -3*i, 0 = -3*i - 0*i - f + 53. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of 0 + 7\/60*t**5 + t**2 - 1\/3*t**4 + 1\/120*t**6 + 0*t - 5\/6*t**3. Is p(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 2*x**2 + 4*x = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -447, -1762, -3951, -7008, -10927, -15702?\nAnswer: -21327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 + 14 = -4*n. Let m(l) = -l**2 - 6. Let i(j) = -2*j**2 - 13. Let o(u) = n*m(u) + 6*i(u). Let q(r) = 35*r**2. Give o(q(a)).\nAnswer: 1225*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -121100010 (base 3) in base 2?\nAnswer: -10111010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, g: 4, e: 5, h: 2}. Give prob of sequence ghg.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 + 147*u - 359. Is r(65) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 78645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 + 12*s**2 - s + 15. Let w be r(12). Suppose 0 = -w*u + 66 + 24. Suppose 8*t - u = 5*t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1034*x + 136 = 1026*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fhhffh. Give prob of sequence fhhh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 divided by 2995?\nAnswer: -47\/2995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*m**2\/7 - 36*m\/7 - 3.\nAnswer: -3*(m + 1)*(5*m + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of 2*h**3\/3 - h**2\/2 - 11*h - 13. Does 12 divide i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 15*a - 5. Determine n(-5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(6\/5)\/s)\/s**(-37))**(13\/4) assuming s is positive.\nAnswer: s**(1209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/66 - 8\/(-165). What is the second biggest value in 3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-6)*2\/(-4)*-42. Suppose 9*i - z*i + 30 = 0. Calculate the greatest common divisor of 66 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 + 5*y + 8. Let n be t(7). Suppose 0 = 3*m - 18, i = -3*m + 2*m + 8. What is the lowest common multiple of 83\/9 + n\/27 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1379 + -1377. Let u(w) be the second derivative of 0 + 0*w**4 + 3\/5*w**5 + 3\/2*w**s + 2*w + 0*w**3. Find the first derivative of u(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z**(-4)*z)*z**17\/z*(z**12*z)**(5\/3))**(-2\/13) assuming z is positive.\nAnswer: z**(-250\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 b when two letters picked without replacement from yyqqqybyyyyybq.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 - 15. Let c(o) = -8 + 8 + 4*o**2 - f*o**2. Let z(a) = -5*a**2. Calculate z(c(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -3\/7, -5, -2\/7, -3\/5.\nAnswer: -20, -5, -3\/5, -3\/7, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 5*n - 3. Let o be q(4). Suppose -2*m + 15 - 87 = 0. Let i be 6\/m - (-31)\/6. Solve 0 = -4*j + o - i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 513 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 102315 + 4?\nAnswer: 102319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3*d**3 + 3*d**2 + 11*d + 3. Let j(s) = -s**3 + s**2 + s. What is -5*j(l) + n(l)?\nAnswer: 2*l**3 - 2*l**2 + 6*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -64819 and 0.01185?\nAnswer: 64819.01185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -16, 2\/23, 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-2) - -2*(-1)\/(-4). Suppose 4*c = -2*g + 2, -c - 2 = -4*g - 16. Let m(p) = r*p**2 - 2*p**c + 4*p**2. Give m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*h + 16*h + 10*h + 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.6 - 2.6. Sort -2, p, 2\/7, -1 in increasing order.\nAnswer: -2, -1, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 - 30 - (2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 5502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-18)*42\/28. Let w = 35.9 - 38. Let m = w - -2.26. Does m = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74\/(-36 + (11 - 1)) + 1 + 2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 4*p**2 + 43*p. Let l be n(5). Suppose -154 = -31*f + 45*f. Are f and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 557600?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.2366 rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1250\/(-420) + 3\/1. Let i(w) be the second derivative of 0*w**3 + 0 - w + 1\/105*w**6 + 0*w**5 - a*w**4 + 0*w**2. Factor i(k).\nAnswer: 2*k**2*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 15*x**2. Let i(z) = -2*z - 530. Determine f(i(y)).\nAnswer: 60*y**2 + 31800*y + 4213500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -671*297\/(-6039)*(2*1)\/42?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x**3 + 21*x**2 - 43*x - 47. What is k(-11)?\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 12:24 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -84*p + 71*p - 717600000. What is p rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*i + 2*i + 4*i**2 - 5*i**2 - 2*i**2 - 1 to the form a*i**2 + z + m*i and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1791414 rounded to 4 decimal places?\nAnswer: -0.1791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 406\/(-224))*152\/(-1140)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10010101100011 (base 2) in base 5?\nAnswer: 301241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 1, -3, -5, -4, -887 in descending order.\nAnswer: 7, 1, -3, -4, -5, -887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 - 6*u + 4. Let r be h(0). Let o = -1 + 6. Solve -4*y + r*k - 5*k = -6, -13 = -o*y - 4*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 9*u**3 + 29*u**2 + 24*u - 29. Let q(t) = 5*t**3 + 15*t**2 + 12*t - 15. Let b(r) = -4*f(r) + 7*q(r). Is b(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/(-6 + (-603)\/(-99)). Find the common denominator of -1 - -1 - (-82)\/6 and (2\/8)\/(r\/(-588)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 60 = -2*y, 2*z - 4*z = 5*y - 32. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + (1*sqrt(110))\/sqrt(10) + 5.\nAnswer: 5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 748179, 748174, 748169, 748164?\nAnswer: 748159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2504584444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(162) + sqrt(162) + -1 + 4)**2 + (sqrt(162) - -4*sqrt(162)*-3)**2.\nAnswer: 108*sqrt(2) + 20258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60144 and 672?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 + 4*f**2 - 8. Let j be a(3). Suppose 3*t + 4*u - 2 = -4, 4*u = -4*t. What is the smallest common multiple of (3\/2)\/(6*j\/40) and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-6)\/(-154320))\/(904\/(-112) + 8) and 111\/20.\nAnswer: 12860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/21, -3, 168, -2.8, -0.3 in descending order.\nAnswer: 168, -2\/21, -0.3, -2.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/5 and -38\/103?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 4:43 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b - -4a?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 54.20246m?\nAnswer: 54202460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -134442 + 32?\nAnswer: -134410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + -4 + (1 - -1))\/1 - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50320 by 1.\nAnswer: -50320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 + 8. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33670 and 60970?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 1030370927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 3*sqrt(117)*-1 + (sqrt(117)*2*-1)**2 + ((4*(-1 + sqrt(117) - sqrt(117)) - sqrt(117) - sqrt(117))**2 - (sqrt(117) - (1 + sqrt(117))*-5)**2).\nAnswer: -3280 - 141*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11454, -22876, -34298, -45720, -57142, -68564?\nAnswer: -79986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(56)\/(sqrt(8) + sqrt(32)) + (-2*sqrt(252))**2.\nAnswer: sqrt(7)\/3 + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -5*d - 2. Let l be w(2). Suppose n = -29 + 8. Let c = l - n. What is the least common multiple of c and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3994419 by -1.\nAnswer: 3994419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23456061 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 3460 = -0*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -722*l + 1736. What are the prime factors of q(-24)?\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 60.004 - 60. Let m = 0.096 + o. Let p = 3 + -3.1. Which is the nearest to m?  (a) -4\/7  (b) -1\/2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**(-2\/7)))**4*(l\/l**6)\/(l**(-2)*l) assuming l is positive.\nAnswer: l**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52079 and 1663787?\nAnswer: 2741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -172.71 - -172. What is a rounded to two decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 7) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6435761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {e: 5, w: 3, c: 1, f: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16986 + 16996. Solve -10*y = -13*y + 12, -b = -2*h - 2*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -8230664, -16461337, -24692010, -32922683, -41153356, -49384029?\n\"Answer: -8230673*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 5*v + 8. Let c(g) = 3*g - g + 1 - g. Let i(u) = -6*c(u) + q(u). What are the prime factors of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*w - 1615 = 1841. What is the greatest common factor of w and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**3 + c**2 + 2*c + 2. Let i be u(-2). Let w = -6 + i. Let r = w - 9. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from ppxyxppxppwi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 - 1. Suppose -3*r + z = 2. Suppose 646 = 30*o + 46. Solve -5*x - r = o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41 - -4*(-403)\/(-124)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 185*z**3 - 241*z**3 + 153*z**3.\nAnswer: 97*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.66, -1\/5, 1, -1 in decreasing order.\nAnswer: 1, 0.66, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 150*i - 152*i - 4 + 3 + (19*i + 5*i - 4*i)*(-2 - 2 + 5).\nAnswer: 18*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -19. Suppose 0 = -a - 4*w - 14, 0*w = 4*a + 4*w + v. Suppose a*y - 34 - 6 = 0. Solve -f + 5*f + y = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8161*b**2 + 227*b + 91 wrt b.\nAnswer: -16322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 671033052 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p**2 + 3*p + 2. Let v be d(-2). Let n = 4 - 2. What is the second derivative of q**v - 2*q - n*q + 5*q wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = t + 37, -3*q = 2*t - 0*q + 87. Let d be t\/(3\/21*-1). Suppose -d = -5*f - 19. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 4*sqrt(612) - (2*sqrt(612) + -2))**2*-2.\nAnswer: -4898 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, n: 2, z: 1, s: 4, k: 1}. Give prob of picking 1 l, 1 z, and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1214 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.91 + -0.09. Let d = 71 - 98. Let z = 28 + d. Sort z, r, -5 in descending order.\nAnswer: z, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59546, -59642, -59802, -60026, -60314, -60666?\nAnswer: -61082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4472 (base 8) to base 14\nAnswer: -c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -132c2 (base 14) in base 3?\nAnswer: -2101202112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -2*d + 4*t, 28*d + 547*t + 436 = 551*t for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + i**3 + 6*i**3 - 3*i**3)*(-6*i - 2*i + 4*i) + (0*i + 0*i + 4*i)*(-i**3 + i**3 + i**3).\nAnswer: -12*i**4 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 - -51. Suppose 736 = x + 5*k - 137, 2*x + s*k = 1722. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 1005564.\nAnswer: 402225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -217*j + 343 wrt j?\nAnswer: -217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21650 smaller than 687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.23 times 239.5\nAnswer: -55.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) + sqrt(209) + sqrt(209)*-2)*1 + sqrt(209) + -6*sqrt(209)*2)\/((sqrt(1100)*-1 - sqrt(1100))*-4).\nAnswer: -11*sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1748 + 377. Is s equal to -1369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 2*t**2\/9 - 176864*t\/9 + 29893480\/3 = 0?\nAnswer: 510, 87922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 802857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -10*i + 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/(14\/12))\/((-2)\/70). Let b = j + -38. Suppose -2*v = -0*z + 3*z - 5, 35 = -3*v + 4*z. Sort b, -1, v.\nAnswer: b, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9, 2, -2\/75, -4, 8\/7, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5427 is divided by 302?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -89*c**3 - 92*c**2 - 416*c + 120*c**3 - 432 - 27*c**3.\nAnswer: 4*(c - 27)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(50 + 2) - 2. Find the common denominator of -89\/12 and (-15)\/i*235\/25.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jrorrjnrjrryyo. Give prob of sequence oyno.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 672 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 + 6*k + 5. Let s be m(-7). Let y be ((-18)\/s)\/((-3)\/150). Suppose w + 2*c - 30 = 0, 3*c + 140 = 5*w - y. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74 + 222 + -148 + -141?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - (2 + -3))*8\/(-104). Which is the biggest value?  (a) 0.4  (b) 2\/13  (c) y  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1685825 is divided by 118.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 13 = a, 0 = -2*a + 5*y + 13 + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*n + 9702 = -391*n for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggiggggg?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = k - 4. Let s(g) = g**k + 4*g + 0*g**2 - 11 - 13*g. Does 7 divide s(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1121 - -221101001010?\nAnswer: 221100222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2921218 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) -2\/3  (c) -20  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(132)*2)\/sqrt(12) + 2*(sqrt(22)\/(sqrt(6)\/sqrt(3)) - sqrt(11)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -196, -262, -328, -394, -460?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112)*-1)**2 - (sqrt(28) + 5)) + -1 + (sqrt(1008) - (sqrt(1008)*-1)**2).\nAnswer: -902 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4033 - -23?\nAnswer: 4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-7) + (-237740)\/(-140) - -2. Calculate the highest common divisor of o and 595.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 990 and 21285.\nAnswer: 42570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 less than -4.16395?\nAnswer: -13.16395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/30)\/(5\/60*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -975 - 2?\nAnswer: -977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j - 10. Let b(p) = 5. Let n(o) = -10*b(o) - 5*t(o). Let q(w) = -w**2. What is n(q(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 295?  (a) 0.09  (b) -95  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -395f (base 16) to base 11\nAnswer: -10042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**2 + c - 1. Let o(p) = -11*p**2 - 42*p + 6. What is -6*a(k) - o(k)?\nAnswer: 5*k**2 + 36*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**4\/7 + 3*m**3 + 6*m**2 + 24*m\/7.\nAnswer: 3*m*(m + 1)*(m + 2)*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 14*d + 7. Let j be s(13). What is the highest common divisor of 8 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -16, -15, 6, 53, 132?\n\"Answer: m**3 + 4*m**2 - 18*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7596 + 7597. Is z bigger than -220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/19))**(7\/12) assuming v is positive.\nAnswer: v**(-7\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12905 - 913 = 153*m + 834*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5620674*i**3 + 34*i + 146972.\nAnswer: -33724044*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -4*g + 16, 10*q - 3*g = 5*q - 16. Let k = -3 - -5. Let c = k - q. Solve -3*a - 1 = 2*a - 2*v, -c*a = -5*v - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 992*y + 4269. Determine q(-5).\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105390 is divided by 5847?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/z**(3\/8))**(44\/3)\/(z**(-5\/2)*z*z**(-3\/10)*z) assuming z is positive.\nAnswer: z**(739\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 464278759*r**4 + 4577584*r + 72?\nAnswer: 5571345108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2093.9 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 598444 divided by 1?\nAnswer: 598444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 135 by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61 - ((-54 - 12) + 96).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -580 divided by 4\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -260*b - 949 = 611 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 272 and 2465544.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by -164?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 29133569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -1\/3*q**3 + 0*q**4 - 2*q - 1\/20*q**5 + 0 + 0*q**2. Find the second derivative of k(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - -3)*(7456\/352 + -22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (156 + 200 - 130 - 14 + 225)*(c - c + c)*(4 + 0 - 1).\nAnswer: 1311*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6270 - -6270. Which is the nearest to 0.1?  (a) -0.3  (b) 5\/2  (c) w  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36618*p**3*z**4 + 68*p**3*z**2 - 9*p**3*z - 2029*p**2*z**4 + 169*p**2*z**2 - 13*z**2 + 1 wrt z?\nAnswer: -878832*p**3*z - 48696*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-27))\/(-6 + 280\/45).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 484470 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2115 + -706?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -819 = -5*q - 2*t, 2*t + t + 174 = q. Let f = 169 - q. Solve -2*c + 5*p + 0*p = -35, 2*p = -f*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3 = -3*y, -o - o + 5*y + 7 = 0. Suppose -5*i = 4*p - o*i - 244, 0 = -3*p - 4*i + 164. What are the prime factors of 3*8\/p + 128\/5?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -29 + 28. Let t be 15\/(-9) - s - -1. What is the nearest to t in -0.6, -2, -1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -256, -332, -458, -634?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*u, -2*s - 3*u + 0*u = -4011. Suppose 0 = -10*v + s + 1686. Calculate the greatest common divisor of 41 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1456*h + 669*h + 314 = -724*h - 3781 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2642, -5236, -7842, -10466, -13114, -15792?\nAnswer: -18506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 - -44. Suppose -3*y + s = y. Calculate the remainder when y is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36367, 72723, 109069, 145399, 181707?\nAnswer: 217987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 21*i**2 - 152*i - 79. Let o(l) = -4*l**2 + 31*l + 16. Let s(t) = -2*g(t) - 11*o(t). Determine s(18).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 20506 + 4416 = 0. Let a be 7\/(-49) + f\/14. Round a to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -986, -952, -894, -812, -706, -576, -422?\n\"Answer: 12*a**2 - 2*a - 996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93 - 35. Suppose 4*g - 12 + 0 = 0, 0 = 5*y + g - 13. Suppose y*h + 5*x = 3 + 17, -d = -4*h - x. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-72)\/2)\/(-3) - 1476\/126?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9900*o**2 + 9926*o**2 + 9908*o**2 - 29751*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -53.2835 times -0.01?\nAnswer: 0.532835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 19796 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 3)*(-21*k + 20*k - 10*k)*(16 - 14 + 6)*(2 - 4 - 5).\nAnswer: -1232*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -33\/197 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3981 a factor of 1990734971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zkumonu. What is prob of sequence uun?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -108 divided by -27\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of -9*n**5\/20 - n**4\/6 + n**2 - 2585*n. Determine o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(1216) + sqrt(1216) + -1 + sqrt(1216) + 2 + sqrt(1216)))**2.\nAnswer: 64*sqrt(19) + 19457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -135653 or -135624?\nAnswer: -135624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*h + 20*h - 19*h)*(-4*h**3 - h**3 + h**4 + 16 + 7*h**3).\nAnswer: 21*h**5 + 42*h**4 + 336*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of -t**8\/560 + 7*t**4\/24 - t**3\/6 + 9*t**2. Let j(h) be the first derivative of a(h). Differentiate j(c) wrt c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, 656, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7225068 and 1616035?\nAnswer: 5609033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-3)\/10*13\/(-3) and 12\/9 + 310\/(-66).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 80 and 200.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - 2. Let x = -1 - d. Suppose 2 = q - x. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 88157, 1, 4.\nAnswer: -4, 1, 4, 88157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101000001110 (base 2) to base 6.\nAnswer: -15530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 110 - 104. Suppose -3*w = -15, -3*w + 6 = c - i. Let x(j) be the first derivative of -j**4\/2 - 5*j**3\/3 - j**2 + 2*j + 1. What is x(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 80*v**3 - 6 + 7*v**3 + 5*v + 2. Let q be j(1). Suppose 0 = f + 5*l - 245, 2*f + 2*l - 670 = -f. What is the greatest common divisor of f and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10371644 divided by -3.\nAnswer: -10371644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 383720885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a*a*(a\/a**7)\/a*a*a)\/(a\/a**(12\/5)) assuming a is positive.\nAnswer: a**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112303.\nAnswer: 112303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/10499158 and -13\/89242843?\nAnswer: 178485686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from wxrrwxwx.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 14837 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 467 - 82. Calculate the remainder when x is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18?  (a) -1\/23  (b) -1  (c) 48  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88\/7*z + 248\/7*z**3 + 6\/7*z**4 - 428\/7*z**2 + 86\/7 = 0 for z.\nAnswer: -43, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 8.9  (b) -5  (c) -2  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/15622425 and 9\/48178?\nAnswer: 531162450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -6.2. Let z = 460.1 + -460. Let h(l) = -2*l + 1. Let v be h(1). What is the second smallest value in v, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.74038 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 5 = -f + 7*z, -2 = 2*z. Let k be 3\/6*(f + -1). Solve -h - 3 + k = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 3:48 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t**2. Let m(a) = -a**3 - 4*a**2 - 4*a. Let l be m(-2). Let c(y) be the second derivative of l + 0*y**2 - 1\/2*y**3 - 2*y. Determine c(i(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 7*y + (1 - 1 - 1)*(-4*y - 4*y + 6*y) + 0*y + 2*y - 4*y)*(y**2 + 2*y**2 - 4*y**2).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f - 29. Let n = 2894 - 2903. Determine l(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 11:19 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 67015589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9212337\/116 + -79416. Let j = z - -16\/29. Determine w so that -7\/4*w - 1\/4*w**3 + j*w**2 + 3\/4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 10*w - 3*g - 6 = 0, -12 = 4*w + 4*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 11*p + 20. Calculate o(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 1. Let a(c) be the second derivative of c**4\/6 - 35*c**3\/6 + 63*c**2\/2 + 66*c. Let f(z) = -a(z) + 3*b(z). Factor f(m).\nAnswer: -5*(m - 4)*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 939 a factor of 10442619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 31116*t - 62181*t + 31095*t + 108 as o*t + c and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/10 + 14\/40. Let t = 0.04 + -0.24. Put 4\/5, c, t in decreasing order.\nAnswer: 4\/5, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51 + (-10 - -31) + (-6 - -2) + -4?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1354988822.\nAnswer: 2, 11, 61590401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*h - 212 = 0, 7*h = 3*h + 16. Let o = s + -50. Let l = o + 2\/3. Is -40 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 528845998 and 818?\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -7. Suppose 0 = z*q - 6, -3*t + 36 = 2*q - q. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 5 + 2 = -3*z, -5*u + 35 = 4*z. Solve z*o + o - 10*o**2 - o + 10*o**4 - 5*o**5 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 3*o = 19, -5*x + 4*o - 18 = -2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19421.6 - -0.580548454.\nAnswer: 19422.180548454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 43 = f + 4*f, f + 5*l - 3 = 0. Is (30\/f)\/(-1 + (-105)\/(-96)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 767 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -5*g**3 + 71*g**2 + 3*g - 242. Give c(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 1. Let v(y) = 12*y + 8. Let d(j) = -8*c(j) - v(j). Let r(l) = -103*l**2 + 196*l**2 - 82*l**2. Determine r(d(w)).\nAnswer: 176*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 - -38. Suppose -2*g + 0*g + 2*b = -84, g + 4*b - z = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 + 6 - -2) + 9 - (-262 - -252)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nbi when three letters picked without replacement from {r: 1, b: 1, i: 4, l: 1, n: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 65552319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 228034.\nAnswer: 2, 113, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 PM and 2:05 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*q + 2*d - 3 - 507 = 0, 3*q + 134 = 2*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17544, 33195, 48846?\nAnswer: 64497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -159 + 158. Which is the fourth biggest value?  (a) x  (b) -4  (c) 0.4  (d) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -3536816, -2, -5 in descending order.\nAnswer: 0, -1, -2, -5, -3536816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand v**5 - 6 + 6 + (v**3 - 2 + 2)*(8*v - 8*v - 5*v**2) + 4 - v**5 - 4 + (-v**2 + 0*v**2 + 3*v**2)*(v**3 + v**3 + 0*v**3).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4896 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3396 divided by -2\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 844.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*g + 35*g + 59*g + 79*g.\nAnswer: 199*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffffffffffffffvf. What is prob of picking 3 f and 1 v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 10\/3*a**2 + 0 - 2\/3*a**3 - 2\/3*a**4 - 2*a = 0. What is a?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -430*p = -428*p + 3*f - 8, -10 = 3*p - f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 28 or 22?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -38*p - 10. Let k(a) = -69*a - 18. Let t(g) = -5*k(g) + 9*n(g). Let b(l) = -886*l**2. Determine b(t(h)).\nAnswer: -7974*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/660 and -151\/6429192.\nAnswer: 32145960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 10:23 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (1 - 10) + -10 - (7 - 16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 3*i**4 - 3501*i**3 + 88917*i**2 + 92421*i = 0.\nAnswer: -1, 0, 27, 1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(6\/63*3). Let p(s) = -19*s - 47. Let k(g) = -6*g - 16. Let m(c) = -8*k(c) + 3*p(c). What are the prime factors of m(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.139 - -710.561. Let a = s - 713. Put a, 5, -7\/2, 1\/9 in increasing order.\nAnswer: -7\/2, a, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2054376413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9099*r**3 + 1162*r**2 - 3658*r - 1162*r**2 - 1352*r**3 - 3392*r wrt r.\nAnswer: 46482*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from nytthoyg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 337 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -12\/5 not equal to -1\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 164734 and 329468.\nAnswer: 329468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56) + (sqrt(56) - (-4*sqrt(2016) + sqrt(56) - sqrt(56))) + sqrt(56))\/(sqrt(96)\/(-3*sqrt(12))).\nAnswer: -81*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*f + 6 + 174. Suppose 1400 = 5*j + 3*j. Suppose -10*s = -5*s - j. Solve 5*q - f = -s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 241*q = -178*q + 37*q + 1910. Let b = 0.987 - 0.9. What is the biggest value in -0.2, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - 2*v + 5821. Calculate n(75).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 119487 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: -2816b9 (base 14) to base 13\nAnswer: -39745b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*x = 68*x + j - 19873, 59661 = -3*x - 3*j. Round x to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 45789*y**3 + 20181*y wrt y.\nAnswer: 274734*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4 - 470*l**3 + 27834*l**2 - 24570*l - 164268.\nAnswer: 2*(l - 117)**2*(l - 3)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, m: 6, n: 5}. What is prob of picking 1 z and 1 m?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1258 divided by 37\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 969.570837 rounded to 0 dps?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1148536, -1148535, -1148534, -1148533, -1148532, -1148531?\n\"Answer: x - 1148537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of 29*n**6\/30 - n**5\/10 + n**4\/12 + 10*n**2 + 4*n + 9. Find the third derivative of d(i) wrt i.\nAnswer: 696*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + -14 + 5 - (-340)\/55. Factor 2\/11*u**3 + 2\/11*u**2 - y*u**5 - 2\/11*u**4 + 0*u + 0.\nAnswer: -2*u**2*(u - 1)*(u + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/10 + (-80)\/(-50). Let p = -1 - -1. Suppose m + 2*i - 105 = p, 6 = -b*i - 0*i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 51*q - 29. Solve -3*r + q = s - 5, 5*r - 15 = -s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -2*q + 399, 4*q + 47 - 55 = 0. Calculate the remainder when a is divided by 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-9)*(-21 + 0) + -1. Let w(a) = a**2 + 3*a + 2. Let z be w(-2). Let t(y) = -10 - 23*y + z*y - 18 + 2. Let u(d) = 8*d + 9. Determine x*t(s) + 17*u(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6318*u + 8783*u + 101065 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (-9 - (5 + 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 3 - 1)*(-2 + 2 + 1) - 11 + 12 + 30 + (-7 - 2 + 5)*(1 - 5 + 2))*(4*q + 3*q - 5*q + (-1 - 2 - 1)*(0*q - 5*q - 2*q)).\nAnswer: 1140*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*k - 60 = 0, 2*i - 3*k - 580 = -575 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -12*a - 243. Let l be h(0). Let v be 39*(2 + 2\/(-3)). Let s = v - l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 23*d + 896. Determine w(-37).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3164 divided by -3.\nAnswer: 3164\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 77 - 76. Let k be p\/(-4)*6 + 834\/564. Which is smaller: 0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**2 - 156*k + 1512.\nAnswer: 4*(k - 21)*(k - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 14*t + t + 4*t + 2.\nAnswer: 19*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s**2 + 2 - 339*s + 21*s + 0.\nAnswer: -3*s**2 - 318*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**3*b))\/b)**(-7\/8) assuming b is positive.\nAnswer: b**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2458 = -3*c - 2491 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 5*x - 10. Let r be q(3). Suppose 4*p - 13 = 2*u + 33, -4*u + 38 = r*p. Find o such that -p*o**3 + 13 - 58*o - 1 - 4*o**3 - o**2 + 61*o**2 = 0.\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/5?  (a) -4  (b) 3  (c) 2\/19  (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 377 + -195. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zvcwg. Give prob of sequence vzcg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 6:52 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*s - 3*s - 4*s)*(0*s - 3*s + 4*s) + 4*s**2 - 16*s**2 + 29*s**2 in the form o + r*s + d*s**2 and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 40*h**2 - 4*h**2 + 52*h**3 - 12*h + 51*h**3 + 44*h - 99*h**3.\nAnswer: 4*h*(h + 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -824\/3 in -0.2, -2, 0.3, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -776073, -1552148, -2328223, -3104298, -3880373?\nAnswer: -4656448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30 - 30 - j)*(4*j**3 - 8*j**3 + 27*j**3).\nAnswer: -23*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 1886*x**2 - 15 + 1899*x**2)*(1 - 2 + 3)*(1 - 4 - 4).\nAnswer: -182*x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 16 = 74. Let g = v - -112. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + 3*o + 2. Let p be b(-1). Let c be (-39)\/(-7) - 24\/(-56). Sort 0, p, -3, c in decreasing order.\nAnswer: c, 0, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 8 = -5*k, -p + 0 - 3 = -4*k. Let t = -39 - -34. What are the prime factors of (k - 0)\/(t\/(-85))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27 + 29. Put a, -4, 6 in increasing order.\nAnswer: -4, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n, -6 = -3*o - 7*n + 2*n. Let s be (6\/36)\/(o\/(-6)) + 0. Let t = 2.6 + -2.2. What is the nearest to s in -3, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 4*f**2 - 7*f - 5. Let u be o(3). Suppose 6*g - u*g = 0. Solve -i - x = -5*x - 16, -5*i + 5*x + 20 = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.02, 8, 0.3, -0.7, -2\/7, 3, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = 4*h + 22. Let o = h - -23. Suppose -2*z + 4*g = -2, 5*z - 4*g = 29 - 0. Calculate the highest common divisor of o and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 2:33 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 11104*o**2 - 42*o + 13. Is w(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117936 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4273996 is divided by 936?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 174*n**2 + 54*n - 354*n**2 - 1 + 177*n**2 to the form q*n**2 + p + h*n and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 13390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3cd3d2 (base 15) to base 4\nAnswer: -23023123010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -22181189 - 4?\nAnswer: -22181193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -139.0861 - -112.08572. Let o = a + 27. Round o to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4559015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2.5976436 - 1553\nAnswer: -1555.5976436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z + 4. Let s be t(-3). Let w = -12 + s. Let u be -1 - w - 1\/1. Solve -2*b - 4*o = -4, b - 15 = -u*b - o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 - (-4 - 5 - -21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1157, -2317, -3477?\n\"Answer: -1160*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55.943 - -56. Is -0.1 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 54 = -u - 3*u, 3*u + 5*k = -44. Let z(t) = t**3 + 5*t**2 + t + 1. Let j be z(-3). Let g = j + u. Sort -3, 5, g in descending order.\nAnswer: 5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 258427.711 - 978039.\nAnswer: -719611.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*j + j - 3*j)*(4 - 4 + 2*j) + 75*j**2 + 354*j**2 + 21*j + 254*j**2 - 21*j to the form g*j**2 + r*j + o and give g.\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -75 - -76. What is the remainder when -14*2\/(4\/(-4)*f) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of q**6\/120 + 3*q**5\/20 - q**4\/24 - q**3\/6 - 34*q**2. What is o(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -167 + 4*j - 189 + 7*j**2 + 362. Let b(t) = -t**2 - 1. Give -6*b(c) - m(c).\nAnswer: -c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2971 - 2025. Suppose 12*m - 3802 + z = 0. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 31 - 11 = 0. Suppose 17 = m - 5*b - t, 2*b = -3*m + 64. Solve -q = z - 2, z - 3*q + 8 - m = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*k - 33*k + 510 = 0. Let z(s) = -4*s**3 + 2*s**2 + 3*s. Suppose -2*x - 1 - 3 = 0. Let y be z(x). Calculate the greatest common factor of y and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 2*g - 3*g**2 + 9 + 3*g)*(2*g**3 + g**3 - 2*g**3).\nAnswer: -3*g**5 + g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 88523 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 AM and 3:33 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224762620?\nAnswer: 2, 5, 73, 153947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 4:24 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*g - 6 = 0, -g + 8 = 3*g. Let o(i) = -i**3 - 4*i**2 + 6*i - 8. Is o(a) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*t + 36*t - 1087 + 1087.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242)*2*2 + 4*(sqrt(242) - (2 + sqrt(242))))**2.\nAnswer: -704*sqrt(2) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 16846282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5*(2 + sqrt(1539)*2*1))**2.\nAnswer: 10800*sqrt(19) + 924000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 7*c + 3. Let j be b(-3). Let f = j + 24. Calculate the least common multiple of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 371 = 3*a + 17*i - 12*i, i - 391 = -3*a. Let l = a - 131. Calculate the lowest common multiple of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4684887269?\nAnswer: 1721, 2722189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/20*-3*504\/27.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + 1212?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120 - 148 + 704 - 147 - 141 - 147 + 43*s.\nAnswer: 43*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 + 2*q**2 - 5*q**2 - 4*q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3480 and 957.\nAnswer: 38280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (225\/(-6))\/15*8\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*i**3*n**4 + 11*i**3*w + 8*i**2*w + 245*n**2*w wrt n.\nAnswer: 8*i**3*n**3 + 490*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggpx when four letters picked without replacement from {x: 4, r: 1, g: 3, p: 2, z: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 14417\/31  (b) -3  (c) -5.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of 71*r**8\/336 + r**4\/6 - 11*r**3\/3 + 2*r**2 - 14*r. What is the second derivative of c(t) wrt t?\nAnswer: 1420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -80805.\nAnswer: -323220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-122)\/4 - (52065\/178)\/(-117).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 5:54 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-9)\/(d**(1\/15)*d))\/((d*d**(2\/3))\/d)**(24\/11))**(-30) assuming d is positive.\nAnswer: d**(3802\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -912779 or -912775?\nAnswer: -912775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 68 and 17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -362, -367, -376, -389, -406, -427, -452?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134 = -4*l - 134 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 (base 16) in base 5?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.03616 plus 13?\nAnswer: 20.03616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z*(z\/(z*z\/((z\/(z\/(z*z*z*z*z\/(z*z**(-2)*z))*z))\/z)))\/z)**13\/(z*z\/(z*z**(3\/8))*z**(-2\/11)))**46 assuming z is positive.\nAnswer: z**(104351\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -61*h**2 - 203*h**2 - h + 30 - 9*h**3 - 36 + 6 in the form g*h + w*h**3 + s + n*h**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 32309987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*p - 2*i + 237, p + 1433*i + 1431*i + 34 = 2861*i for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-9)*60\/8. Solve k + z = 3*k + 1, -2*z = -l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -47 - (26 + -10)) + 12 + (8 - 4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 3 + 0 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 893 + -269. Calculate the greatest common divisor of 26 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 2*r - 2 = 0, 3*r = -i - 0*r + 3. Suppose i*y + 11 = 2*y + k, -5*y - k + 20 = 0. Solve 0*d**2 - 2*d**y + d**3 + d**2 = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/((m*m\/(m\/(m*((m\/(m\/m**(-5\/4)))\/m)\/m)*m))\/m))\/m*m)**(-7\/6) assuming m is positive.\nAnswer: m**(-119\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 72.2204nm?\nAnswer: 0.00000722204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9\/32 + -141\/160. Let p = -0.074 - 26.926. Let q = p + 27.3. Which is the second biggest value?  (a) q  (b) 0.5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1428, 1495, 1672, 2025, 2620, 3523?\nAnswer: 4800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, u: 3, n: 1, z: 3, k: 1}. Give prob of picking 2 z.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c + 5*l + 9203 - 9226, 4*c + 3*l = 49 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*i - 206 = 5*s, 2*s + 2 = 0. Let t = -14442 + 14482. What is the remainder when i is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 11. Solve p + 4 = 3*p, -q + 4*p - 3 = z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11098850083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 85\/16  (b) 2  (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 557*b - 219*b - 6260*b.\nAnswer: -5922*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 - w - 1. Let d(o) = -203*o**3 + 2*o**2 + 2*o + 1. Let n(g) = -d(g) - 4*l(g). What is the tens digit of n(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1629 and 154998.\nAnswer: 28054638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -3\/8, -0.2, -2\/9, -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8181*l - 6913*l = -72276 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of 2*l**5\/15 + 3*l**3\/2 - 4*l**2. Differentiate m(r) with respect to r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 - (3 + -5) - 1. Suppose q*s - 5*x = 441, -3*x + 81 + 145 = s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 729, 764, 823, 906, 1013?\n\"Answer: 12*s**2 - s + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of i**3\/6 - 9*i**2\/2 + i. Let c be p(7). Sort -1, c, -5 in decreasing order.\nAnswer: -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -586560 divided by 1128?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0811710991 and -16?\nAnswer: 15.9188289009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123762*r**3 - r - r - 124499*r**3 + 2*r.\nAnswer: -737*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x - 7*x - x)*(-1 + 3 - 5) - 4*x + 5*x + 0*x to the form b*x + i and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-59 - -48) + (9 - (-3 + 9))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1416 and 3144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1651 - 1651.1. Put -2, -7\/3, g, 0.1 in decreasing order.\nAnswer: 0.1, g, -2, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-3) - (310\/(-15) + 6). Suppose f = -3*f + 168. Calculate the highest common factor of f and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cgg when three letters picked without replacement from gxxgbbbxcbbxg?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 360749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -52, -195, -434, -769, -1200, -1727, -2350?\n\"Answer: -48*r**2 + r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51329579?\nAnswer: 7, 17, 25373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 644, -1\/3, 1.6, 0.15 in ascending order.\nAnswer: -1\/3, 0.15, 1.6, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 - -14. Let v(b) = -2*b + z + b + 4. Give v(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2 + 7*d + 11. Let v be x(-6). Solve -v = 4*k - 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (66*r - 36*r - 35*r)*(-2 + 6 + 0)*(-2 - 3 + 4) to the form k + n*r and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hihtxwz. Give prob of sequence whh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 48459479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**3 + 28*w**2 + 7*w - 10. Let k(o) = o**3 - 15*o**2 - 4*o + 5. Let j(u) = 3*f(u) + 5*k(u). Give j(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 165724359 and 2439.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 - 18) + 12\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y**2 - 21*y - 7. Calculate the remainder when (-4)\/(-6) - (-112)\/3 is divided by g(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 2\/3, -0.1, -0.1634, 29, 5, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 368 + 209 = 0. Suppose -5*p = -0*k - 2*k + 20, 4*p = -5*k + 116. Let g = k - c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/555  (b) 0.125  (c) 0.4  (d) 141  (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t**2 + 40*t + 2 - 11*t**2 - 7*t**2 + 13*t**2.\nAnswer: -4*t**2 + 40*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 37 + 57 + 423*q**4 - 462*q**4 wrt q.\nAnswer: -156*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5.87 and -4671.32.\nAnswer: -27420.6484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2016) - (4*3*sqrt(2016) + sqrt(2016) - sqrt(2016) - sqrt(2016)))\/(sqrt(16)\/(sqrt(40)\/sqrt(5))*-6).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - -b9a?\nAnswer: b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -138 (base 16) in base 3?\nAnswer: -102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-185 - -188) + (1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -435 - -636. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-795)\/(-636))\/((-3)\/(-6))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, 75, -8, 7, 0, 5.\nAnswer: -29, -8, 0, 5, 7, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.9409 + 1.1109. Sort -0.6, -3, d, -8 in increasing order.\nAnswer: -8, -3, -0.6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -5*n - 47. Let y be k(-10). Let l(m) = -y*m**2 + 99 + 12*m - 94 - m**3 - 7*m**2. Give l(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1837 is divided by 1805?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -18.2595326535 take away -146?\nAnswer: 127.7404673465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 10 + 22 = 5*t. Solve 3*p = -t*p + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + -42. Let q = -23 - x. Suppose -6 = g - 4*g. Which is the second biggest value?  (a) -0.4  (b) q  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(3 + -1*sqrt(2736)*-5 + -4))**2*-2.\nAnswer: -2188832 + 3840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1*(-1)\/(-5))\/((-16)\/120). Which is the nearest to -0.8?  (a) 0.3  (b) 3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 45 = -5*l - 0*l, 38 = 3*l + 4*u. Suppose -m = 4 - l. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4776904?\nAnswer: 2, 11, 19, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-24)\/112 + (-49017)\/(-14) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 107149.3 to the nearest one thousand.\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(((-4)\/14)\/((-4)\/84))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 209*h - 315*h + 249*h + (0 - 3 + 1)*(0*h - 2*h - h) - 3*h + 3*h + 2*h to the form k*h + j and give k.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 156*z + 2*z**2 + z**3 - 5*z**4 - 156*z in the form g*z**3 + a + x*z**4 + f*z + s*z**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 143145090 and 8910.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooinosonnonol. What is prob of picking 1 l, 1 n, and 1 o?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3*q**2 - q + 4. Let a(u) = -u**2 - u + 1. Let j(p) = 6*a(p) - 3*b(p). Let j(m) = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1 + 2*g - 5 + 0*g with respect to g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52932382.\nAnswer: 2, 26466191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10232, -10282, -10368, -10490?\nAnswer: -10648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.041960727 rounded to 5 dps?\nAnswer: -0.04196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 4*v + 13 + 0 = 0, 0 = -3*y + 5*v - 4. Which is smaller: -18\/11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 606330000 to the nearest 1000000.\nAnswer: 606000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -48.113 + 0.113. Let j = a + 47.9989. What is j rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g. Suppose d + 0 = 4. Let y be 1 + d\/2 + -2. Let p(x) = -4*x**2 - 3*x - 3. Let o(v) = v**2 + v + 1. Let c(q) = y*p(q) + 3*o(q). Calculate c(m(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14921 is divided by 51.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11350, -11300, -11222, -11116, -10982, -10820, -10630?\n\"Answer: 14*c**2 + 8*c - 11372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36763.\nAnswer: 97, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001479536 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*(i\/((i\/(i*(((i\/i**(-2))\/i)\/i)\/i))\/i)*i)\/i)\/i)**8*i**(3\/5)*i**(-2)*i)**(1\/8) assuming i is positive.\nAnswer: i**(39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 2*y + 5, -y = 2*i - 0 + 10. Let f(j) = -4*j + 1. Let p(s) = -s**2 + 16*s - 4. Let k(q) = 9*f(q) + 2*p(q). Calculate k(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 105 and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 + 1102*d - 15624. Let u be y(14). Suppose 9\/4*h**3 + u + 1\/2*h - 7\/4*h**2 - 5\/4*h**4 + 1\/4*h**5 = 0. Calculate h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*i + 862016 + 138231 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 16. Solve -h - o = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 6) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (((-29 - -5) + 14 - 49) + -2)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28929 - 260363\/9. Which is the closest to k?  (a) -4\/3  (b) 4  (c) 5  (d) 683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27 - -38. Is z\/(-1)*(-4)\/(12\/111) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 48, -53, -7?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193*v - 103*v = 187*v + 5313 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.2  (b) -9\/7  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8787608*c**3*h**2 - 42*c**3 - c*h**4 + 324*c - 233 wrt h.\nAnswer: -17575216*c**3*h - 4*c*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of -w**5\/60 + 7*w**4\/24 - 4*w**2. Suppose 4*k = -0*k + 28. Let t be l(k). Solve 0 = -4*p + 3*g + 12, t*g + g + 15 = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13636484107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4102103707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**4)**39*(o**7)**46 assuming o is positive.\nAnswer: o**517","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u - 2*u + u - u - u + u + (-2*u + 1 - 1)*(4 + 0 - 2) + 3*u - 4*u + 0*u + 3*u - 2*u + u + 2*u - 4*u + 3*u + 1544*u - 28 - 1543*u - 49.\nAnswer: -4*u - 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2210509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 138 and 312800000.\nAnswer: 938400000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33 + 37. Suppose 3*w = 6*w + g*w. Suppose w = -9*u + 7*u + 36. Calculate the highest common divisor of 12 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.2 + -70. Sort -5, -0.5, q.\nAnswer: q, -5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 231438703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005473365 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x. Let b be l(4). Suppose -3 = 2*d - 11. Solve 4*u + b = h - 9, 12 = d*h + 4*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -37 + 19. Let t = 9 + -5. Calculate the remainder when k\/3*(-12)\/8 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4*((-90)\/(-12))\/(-3). Let o be (36\/(-60) + 2\/2)*n. Solve 2*j = -o*p, 5*j = 3*p + p + 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -925335 <= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -508*d + 990*d + 197*d**3 - 482*d - 10*d**2 to the form n + t*d + p*d**3 + r*d**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7.51 and 7815.\nAnswer: 7807.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-722)\/1805*((-4)\/(-22) - (-1821)\/(-33)). Which is smaller: -0.358 or w?\nAnswer: -0.358","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, 1\/3, -3\/7, 4, 0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -5  (c) 1\/3  (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12227801.\nAnswer: 12227801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, k: 6}. What is prob of picking 1 s and 3 k?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 504\/(-546)*1326\/(-68)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = 3*g - 4056*u + 4061*u, -4*u - 44 = -4*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*b*h*y**2 + 4*b*h*y + 21*b*h - 2*b*y**2 - 22*b*y + b - 2845*h*y**2 - h*y + 962*y**2 + 11*y + 30 wrt y?\nAnswer: 6*b*h - 4*b - 5690*h + 1924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 68 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28492 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 42\/(-10) + 3\/15. Let r(o) = 5*o**2 - 4*o - 5. Is r(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1233\/(-822))\/(31\/2).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2841 + 2787 = -3*o. Solve -14 = 2*y - o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 718, -31, -6\/7 in decreasing order.\nAnswer: 718, -6\/7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3648 and 14003.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 40421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38980 = 5*s + 20105. Let w be 0*1\/2 + s\/1001. Let o = w + 157\/14. Calculate the common denominator of 99\/52 and o.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f + 8. Let a be h(-3). What is the derivative of 9 - 9*i - 13*i**2 + 14*i**2 - a wrt i?\nAnswer: 2*i - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-65))\/((72\/32)\/((-50)\/(-40))).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-53)\/39644*-204*(-638)\/(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 455 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) 79\/4  (c) 1\/3  (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y + 1. Let d(m) = -3*m - 4. Let q(s) = -d(s) - 4*j(s). Let v(t) be the first derivative of -2 - 2*t**2 + 3 + t**2. Calculate q(v(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-11\/2))**(-16)*j\/j**(-1\/13)*j*j*j**(-32) assuming j is positive.\nAnswer: j**(768\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82403 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppwwpppwwppwww. Give prob of sequence ww.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -4895.120163 to one decimal place.\nAnswer: -4895.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, g: 3, u: 1, z: 4}. Give prob of sequence gzgz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 539224661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 AM and 1:53 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -1. Let h = 1.4 - 0.4. Let t = x - h. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 - -15. Let a be s\/9 - (-114)\/27. Solve 4*k - 8 = a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1230, -5, -15, 0, -1 in decreasing order.\nAnswer: 1230, 5, 0, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c - 2. Let o = 1 + 4. Suppose -3*a + 23 = o. Let m(g) be the second derivative of -g**3 - 11*g**2\/2 + 2*g. Give a*m(p) - 34*s(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*t**4 + 47*t**3 - 5*t**2 - 4132.\nAnswer: 168*t + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t**2 - 5*t + 5. What is the tens digit of j(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -12*x + 42. Let g be n(4). Which is the nearest to -2?  (a) -4\/7  (b) g  (c) -0.3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/(-33) + 0 + (-944)\/(-1947). Which is the closest to o?  (a) -5  (b) -0.5  (c) -1426\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 9}. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from llppp.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + g**2 - 40. Let i be s(0). Let p be (16\/i)\/(2\/(-30)). Solve -25 = -p*n + n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 3*k - 41. Suppose 0 = k*u - 3096 - 3236. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 54 = -4*t, -2*z + 13 + 44 = 5*t. Let g(s) = -s**3 + 5*s**2 + 9*s - 9. Let h be g(6). Calculate the highest common factor of z and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 13839059.\nAnswer: 2\/13839059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - -11010000?\nAnswer: 11001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 + 29. Let r = -12 + -15. Calculate the smallest common multiple of h and r\/(-15) + 1\/5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 5*w - 19 = 0, 15*w = 4*v + 10*w - 37. Let t = 56 - 32. Calculate the greatest common divisor of v and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 230.7.\nAnswer: -692.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a = 2*a + 15. Suppose t = -5*g + 43, 4*t - 4*g - 70 = a*t. Let u = -54 + t. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*q)*(2*q**3 + 0*q**2 + 0*q**2) - 23*q**4 + 2618 - 5230 + 2618.\nAnswer: -27*q**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26374709*f**2 + 51192557 wrt f.\nAnswer: -52749418*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*v = 372*v + 4842 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 32 times -8\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -2.7. Which is the closest to -1\/2?  (a) -5  (b) -1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5247.\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of 25*i**2\/2 - 17*i - 15. Let d be v(3). Let h be (-2 + d\/28)*-2. Which is the closest to -1\/2?  (a) -2  (b) 0.2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*g*n**2*q**2 - 16*g*n*q**3 + 2*g*q - 1043*n**2*q**3 + 2821*n**2*q**2 wrt q?\nAnswer: -96*g*n - 6258*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 6662868?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 571109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12.2 - -12. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4484, -4390, -4320, -4286, -4300, -4374, -4520?\n\"Answer: -2*g**3 + 108*g - 4590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 + 9*n**2 - n - 8. Let h be y(-9). Suppose h = -r + 47. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate k**2*s**2 - 40*k**2 - 3*s**2 + s wrt k.\nAnswer: 2*k*s**2 - 80*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - 2*a**3 + a)*(2*a - 14*a - 15*a + (0 - 3 + 5)*(2*a - 5*a + a) - 4*a - 2*a + 4*a - 5 - 3*a + 5).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*l + 140 = -21. Let u be (18\/(-27))\/(l\/((-63)\/(-12))). Sort u, -3\/7, -0.1 in increasing order.\nAnswer: -3\/7, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19206389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-9 - -21) + (-4 - (7 + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/5)*y*y*y**(4\/3)*(y**(-1\/3)\/y)**(-11))**(2\/25) assuming y is positive.\nAnswer: y**(176\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1652.6145 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 8*y. Let p(z) = 1627*z**2 + 59*z + 3. Determine m(p(j)).\nAnswer: 13016*j**2 + 472*j + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 841 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*l + 2*l + 2*l)*(1 - 1 - 2) - 136*l + 28*l - 18*l - 41*l to u*l + w and give u.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 13*z**4 + 5*z**3 - 16*z - 5. Let g(o) = -64*o**4 - 24*o**3 + 80*o + 24. Let k(m) = -5*g(m) - 24*x(m). Find the second derivative of k(f) wrt f.\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -810, -796, -782?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29406 - -29533. What is the closest to 0.1 in 3, h, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 PM and 9:52 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2768 times 16227?\nAnswer: 44916336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 11:15 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 97187074*b**2 + 800677439*b wrt b.\nAnswer: 194374148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 1607010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 2:04 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002585 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -638039, 0.2, -4, -2, 4 in descending order.\nAnswer: 4, 0.2, -2, -4, -638039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1542*m + 1570*m = -392 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 12, 18, 26, 36, 48?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*u - 64*u - 1219 = -199*u + 83*u for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 5*b**3 - b. Let r be a(1). Suppose 0 = -z + r + 1. Suppose 6 = -3*y + 6*f - 3*f, -y + 2*f = 0. Put z, 3, y in decreasing order.\nAnswer: z, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 9*s**2 - 2*s + 7. Let z(o) = o**3 - 10*o**2 + 3*o - 7. Let d(g) = 6*w(g) + 5*z(g). Determine d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -186, -5, 4 in ascending order.\nAnswer: -186, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61084184722548*f - 25*f**3 + 61084184722548*f.\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 336 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, u: 4, y: 2, f: 1, l: 2, k: 1}. Give prob of sequence ggk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115442*t - 115445*t + 230826*t.\nAnswer: -61*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + l - 76 = 0. Suppose -2*z + l = 4*n, 5*z + 6*n = 2*n + 101. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 291, 326, 447, 696, 1115, 1746?\nAnswer: 2631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 504*c**4 + 63294*c**3*i - 5*c**2*i + 6*c**2 + 113*c*i + 26*i wrt c?\nAnswer: 12096*c + 379764*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(99)*-3 + sqrt(99) + (sqrt(99) + 2*(sqrt(99) + -2) - sqrt(99)))*4)**2.\nAnswer: 1152*sqrt(11) + 14512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3193.\nAnswer: 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 12*j + 16*j = -56208, -28096 = -2*z + 4*j. List the prime factors of z.\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 - -22. Suppose -5*p + 238 - 28 = s. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 divided by 7601?\nAnswer: 17\/7601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 2. Let y be (6 - -2*g) + 0. List the prime factors of 5\/4*1*y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-35)*u*u\/(u\/u**(-1\/4)) assuming u is positive.\nAnswer: u**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3177.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - -3*sqrt(3)*-4)*4*-1 + sqrt(768)\/sqrt(4)*-5 + 2.\nAnswer: 2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/42*1*6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1540462?\nAnswer: 2, 7, 11, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 10*v**5 + 105*v**4 - 1320*v**3 + 2960*v**2 = 0.\nAnswer: -37\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*h = 6*h + 65. Solve j - h*q = -0 - 8, -4*j = 2*q - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7\/28)\/(476\/(-238) + 31\/16) + 101\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280 = 3*h + h. Let g be (1*-4*1)\/(h\/(-10)). Factor 2\/7*r**4 + g*r**3 + 0*r + 0*r**2 + 0.\nAnswer: 2*r**3*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, s: 1, t: 1, u: 1, o: 1, y: 2}. Give prob of picking 1 t, 1 u, and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -3327.676 to the nearest integer.\nAnswer: -3328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 4 + u**4 + (2*u**2 - 4*u**2 + 0*u**2)*(21*u**2 - 15*u**2 + 15*u**2) + (3 + 4 - 5)*(-u**3 - u**4 + u**3) - 3*u**4 + 0*u**4 + u**4.\nAnswer: -45*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 - t**2 - 1. Let f = -51 - -53. Let y be n(f). Solve -y*r = -r - 3*i - 8, -4*r - 2*i = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -657, -653, -645, -633, -617, -597?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1887\/(-12)*-69062 + 1\/2. What is q rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -27*o**3 - 6*o**2 - 11*o + 80. What are the prime factors of p(-13)?\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 165.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in seven eighths of a microsecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66.042639 nanoseconds to hours.\nAnswer: 0.0000000000183451775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6160 - 3657. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12213055 - 12213055.86000057. Let j = 5.2 - 6.06. Let q = j - f. Round q to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*(f\/f**(3\/2))\/f)*f**(1\/5)\/f*(f*f*f**(-4)*f*f)\/f**(2\/5))**(-7\/6) assuming f is positive.\nAnswer: f**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.5 - -2.5. Let w be (2\/(-9))\/((-91)\/21 - -5). Which is the closest to 1?  (a) w  (b) r  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-54)\/9)\/(4\/(-6)) - -3. Suppose 0 = -8*a + 892 - w. Calculate the least common multiple of 99 and a.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**23\/(x\/(x*(x**(3\/22)*x)\/x)*x))\/((x*(x**12\/x)\/x)\/(x**(-2\/47)*x)) assuming x is positive.\nAnswer: x**(12505\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 114 - 167 + 51 + 4*t**2 as v + q*t**2 + u*t and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 9 - 1 + 2899*u + 1 - 7. Let f be ((-8)\/10)\/((-8)\/20). Let n be b(f). What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mrkkkmtrkrkkzrkz. What is prob of picking 2 r and 1 m?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 40\/220 - (-4)\/(-198)*-2. Which is the closest to 3?  (a) 0.5  (b) 0.1  (c) -4  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -45*r**3 - 14*r**2 + 30*r - 92. Let u be o(6). What is u rounded to the nearest one hundred?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 15, -96, -207, -318, -429, -540?\n\"Answer: -111*n + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 + 4. Let q(k) = 6*k**4 + 14*k**3 + 14*k**2 + 14*k + 8. Let t(s) = -11*s**4 - 27*s**3 - 29*s**2 - 28*s - 15. Let r(w) = i*q(w) - 4*t(w). Factor r(a).\nAnswer: 2*(a + 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*y + 2*t, -3*y - 4*t + 11 + 14 = 0. Let v = -140 - -60. Let q be 0 + 1 - 4*(-15)\/v. Which is the nearest to q?  (a) -2\/5  (b) y  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 14 - 4 = 2*r, 18 = 3*p + 5*r. Let u = -4 + 6. Suppose m = u*m - 3. Solve -m*s = 3 + p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y = 11*y - 6*y. Which is the third smallest value?  (a) y  (b) -1\/5  (c) -23  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3215685400?\nAnswer: 2, 5, 19, 846233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 2215.3 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 a when three letters picked without replacement from attyataaaytaa.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*l - 4*l + 3*l - 1 + (-l - 3*l + 3*l)*(0 - 1 - 4).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(60)\/sqrt(300)) - (sqrt(117)\/(sqrt(18)\/sqrt(2)) + -4).\nAnswer: 4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46, 61, 80, 103?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kpkp when four letters picked without replacement from plkpkpkpppkkp?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 1:19 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -142 - -137. Let h be (-6 - 0)\/2 - 1. Are h and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2444346 is divided by 318?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -4*i**2 - 83*i + 4. Let j be w(-3). Calculate the highest common factor of j and 4805.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2544 and 2465772?\nAnswer: 9863088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 + 11. Let o(l) = 2*l**2 - 19*l - 8. Let k be o(10). Let t(s) = -4 + 31*s - u*s - k. Give t(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 22 - ((-3 - (-12 - 30)) + -104)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*x**3 + 71*x + 70*x + 11*x**2 - 190*x**3 - 211*x + 69*x.\nAnswer: -215*x**3 + 11*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**2 - 2*o + 2. Let h be (-4)\/(-6)*(-9)\/2. Let g be ((-12)\/5 - h)*5. Suppose k + g = 0, n - 13 = 6*n + k. What is q(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 5*u + 41, -2*l + 3*l = -4*u - 16. Suppose n + 0*m - 2*m = -3, l*n = -4*m + 24. Solve a - 14 = -3*j, -n*j - 2 = -4*a + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v**5\/5 + 69*v**4\/5 + 861*v**3\/5 - 4381*v**2\/5 + 690*v = 0. What is v?\nAnswer: -50, -23, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 + 2*z + 2. Let m be o(-2). Suppose -22 = -4*i + a, m = 4*a - 7*a. Suppose -10*g + 135 = -i*g. Calculate the remainder when g is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/36 and -91\/74874.\nAnswer: 449244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6926058 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 5*h + 35 = 0, 3*o + 5*h = h - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of -6 + 3 + 5 - -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b28c (base 13) to base 12.\nAnswer: 2693a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 - 3*w - 2*w - 7 as x + b*w and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/9 and -50\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 5*p + 35, 27 = 2*k - 2*p + 1. Let n = 28 + k. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 8*p**2 + 24*p - 14. Let q(f) = -3*f**2 - 8*f + 5. Suppose 51*h = -2*c + 56*h + 43, 2*c = -h + 25. Calculate c*q(o) + 5*m(o).\nAnswer: -2*o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3010\/516*1260\/(-147)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205*n + 203*n = -4822. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39228.\nAnswer: 2, 3, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = t - 141576 - 222428, 0 = -v - 3*t - 181988. What is v rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 2*v - 4*v + 29, -3*v - 3*f = -66. Solve -v*u + 12*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38)\/((sqrt(128)*1 - sqrt(128)) + sqrt(2)) - (1 + (sqrt(1539) + (1 + sqrt(1539) - sqrt(1539)) + sqrt(1539))**2 + sqrt(19)))*2 + -1.\nAnswer: -12317 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6182966994.\nAnswer: 2, 3, 73, 14116363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - -1. Let t(x) = 0*x + 0*x - 2*x**2 + n*x**2. Let f(g) = -5*g**2. Give f(t(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 118550 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22385718 + 48430*b**2 - 22385718 - 48432*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from bhbbbbuhjgujhhjuuu.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 - 0. Let f(y) = 0 + 0*y + 6*y - 4. What is the remainder when q is divided by f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -2. Let d(j) = 2 + 6*j - 11*j**2 + 2 + 2 - 26*j**3. Let n(x) = -5*x**3 - 2*x**2 + x + 1. Let l(a) = 2*d(a) - 11*n(a). Give l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 187846 + 0?\nAnswer: 187846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + sqrt(112) + 4)*-1 - ((2*sqrt(112)*2 + -2*sqrt(112)*-5)*-6)**2.\nAnswer: -790297 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*v - 160*v + 716 - 573 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 0*z - 3*z - 4 - z + 3*z**2. Suppose -q + 8 + 8 = 2*p, -4*p = -2*q - 24. Let c(t) = 5*t**2 - 7*t - 7. Determine p*b(d) - 4*c(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 = 4*n + 63 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xz when two letters picked without replacement from rrpfxrooozrozrz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 66824.5 at most -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1472 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-525)*12*1*20*(22 + -12).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45*(-25)\/(-625))\/(138\/(-5980))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 + f - 2. Suppose 2*g = 3*g + 1. Let t be g + -2 - (-36)\/6. What are the prime factors of b(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.0394 - -0.0394. Let n = 0.1 + 0. Let y = 0.31 - -0.19. Which is the biggest value?  (a) n  (b) y  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of -w**4\/24 + 10*w**3\/3 + 185*w**2. Let i be a(12). Solve -6*x + 3*f = -2*x + 29, -f = -x - i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 9*o. Let u(n) be the second derivative of -n**4\/3 - 7*n. Let m(y) = 2*y**2. Let j(c) = -5*m(c) - 2*u(c). What is j(s(r))?\nAnswer: -162*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1289 - 1299 - 61*-1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/27 and -61\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 306 divided by -7?\nAnswer: -306\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*m - 1881*m + 38251 + 9597 = -16342 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3365535 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -36 + -20. Let z = 86 + f. Calculate the remainder when 59 is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 887, 1905, 2911, 3899, 4863?\n\"Answer: -j**3 + 1025*j - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -2*b + 6. Suppose -d + 6*d = 0. Let f = b - d. Solve -2 = w - f*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from bnwwbms.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5570365 and 116965.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16529, -16594, -16659, -16724?\nAnswer: -16789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 8, c: 2, z: 1, t: 1, v: 2, n: 1}. Give prob of sequence xx.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1100185 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3000495178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {k: 8, z: 4, u: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = l - 213, -5*l - 14*s + 1025 = -12*s. Calculate the highest common divisor of l and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33348206?\nAnswer: 2, 23, 724961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/21  (b) 4  (c) 0.8713  (d) 1\/16  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 15) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r\/((r**(-7)\/r)\/r)*r*r*r)\/(r\/(r*r**(1\/3))*r))**15)**29 assuming r is positive.\nAnswer: r**6235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 434814 by -6.\nAnswer: -72469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -299*o = -27*o + 29*o + 1446 - 6864 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 + 13. Is v + ((-4)\/4 - -19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-14)*y*y**(-1\/3))**(-41)*y*y\/((y\/((y**(-4\/7)\/y*y)\/y*y))\/y)*(y**(2\/23)*y)\/y*y\/((y**(-1)*y)\/y)*y**7 assuming y is positive.\nAnswer: y**(269119\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**4 - 3*a**3 - 108*a**2 + 108*a.\nAnswer: 3*a*(a - 6)*(a - 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 16) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -150?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 4. Suppose 14 = 3*k - g. What is the derivative of k*i + 1 + 5*i - 8 - 5 wrt i?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - ((sqrt(5)*-5 - sqrt(5))*1)**2) + (sqrt(60)\/sqrt(3))\/sqrt(4).\nAnswer: -180 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -7. Let k = l - 1. Suppose h = -2*t + 2, k = 6*t - 3*t - 2*h. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 2 u, and 1 q when four letters picked without replacement from vvvuuqvvbubv?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -103*n - 65. Let p be s(2). Let c = p - -271. Let k be -4 + 2 + 0 + -1. Sort k, c, 8.\nAnswer: k, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3388371*a**6 + 4537*a**2 + 860?\nAnswer: -406604520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 86 - 169\/2. Let d = q + -3. Which is the smallest value?  (a) d  (b) -2\/17  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -112423, -112321, -112217, -112111, -112003, -111893, -111781?\nAnswer: -111667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 + 2*k**3 + (3 - 2 + 0)*(-2*k - k**3 + 2*k) + (-5222 + 118*k + 5222)*(-2*k**2 + k**2 - k**2) to n*k**2 + l*k**3 + q + t*k and give l.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - (14 + -23 + 28) - 32.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*w - 5687 + 6061 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 1\/33, -39, -1\/2, -0.3 in decreasing order.\nAnswer: 1\/33, -0.1, -0.3, -1\/2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 29123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9638, -0.09, -2\/5, -1\/3 in decreasing order.\nAnswer: -0.09, -1\/3, -2\/5, -9638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 3*c - 15, 109*d - 2*c = 106*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - g + g)*(-g - g + 0*g) - 4*g - 13*g + 16*g + 3*g**2.\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 a factor of 6505650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 199, 198, 197?\n\"Answer: -y + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*v**(1\/8))*v*v**3)\/(v**(4\/9)\/(v**5\/v*v)))\/(((v\/v**(1\/3))\/v*v)**(-8))**(-50) assuming v is positive.\nAnswer: v**(-18593\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -119, 32, -33 in increasing order.\nAnswer: -119, -33, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 divided by 131436.\nAnswer: 2\/10953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -591100 by 435.\nAnswer: -118220\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -51, -359, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 6*i - 35. Let h be a(16). Let n = 113 - h. 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: List the prime factors of 6634957323.\nAnswer: 3, 2211652441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cakvvvjjwvckjvvja. Give prob of picking 1 k and 1 v.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 251097 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*g**3 + 16770*g**2 - 2784*g + 261482849 wrt g.\nAnswer: -6*g**2 + 33540*g - 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or -3584?\nAnswer: -3584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d. Let v(k) = k**2 - 5*k + 5. Let i(l) = -6*f(l) - v(l). Let q be i(10). Suppose -4*u + 15 = -q. Solve 0*h - u*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 8041 - 8053 + 2*k + 4*k. Give o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7217b (base 12) in base 13?\nAnswer: -5299a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 - 5*n**2 - 11 + 3*n**2 - 12.\nAnswer: -n**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -76 and -0.78.\nAnswer: 59.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 x when three letters picked without replacement from {o: 2, c: 7, x: 2, w: 7, m: 1}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 115*h**5 - 355*h**4 + 145*h**3 + 335*h**2 - 260*h + 20 = 0.\nAnswer: -1, 2\/23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (105\/70)\/((-8)\/((-160)\/(-70)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 13 + 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 5966.246 years?\nAnswer: 596.6246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -67524*c**2*t**4 + 868*c**2*t - 10*c*t wrt t?\nAnswer: -810288*c**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 6. Calculate the remainder when 9 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/2728440 and -107\/6552?\nAnswer: 19099080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5 + 7 + -5)*(-9)\/(-9). Sort n, 4, -4 in increasing order.\nAnswer: -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 1\/150, 0.4 in ascending order.\nAnswer: -0.5, 1\/150, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/3 - 6049*c\/3 - 12110.\nAnswer: (c - 6055)*(c + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 72 + 60. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (-4)\/(-2 - -4). Suppose 3*c = 65 - 11. Suppose -5*w + 5*f - 5 = 0, t*w + 2*f + 2*f = c. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-26))\/(786\/(-5109)) - (-35)\/(-9).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pupypyprypyypypp. Give prob of picking 1 p and 1 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -47\/151 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-8))\/((-31)\/(-124))*(-89 - 175\/(-25))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y - 49 - 35. Suppose -2*a + y = 5*h, -2*h - 3*a + 6 = -a. Suppose -h*w + 122 + 92 = 0. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41 - 837 - 111)*(2 - 1 + 4*h - 2) - h + 2*h - 2 - 2*h.\nAnswer: -3957*h + 987","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -14900811?\nAnswer: -1\/14900811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.39394 - -0.1468.\nAnswer: 1.54074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 159302 divided by -1318?\nAnswer: -79651\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 4620.6 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - (60 + -70)) + -42 + 1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2 - 2 = 0. Suppose -l*c + 6 = -0*c + y, c + 5*y = -6. Let d = 1.3 - 1.2. Put c, d, -5 in descending order.\nAnswer: c, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + 6. Let r = 2379.435 - 2386.435017. Let m = k + r. Round m to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/3 of a millennium in months?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - k + 4*j + 400 = 0, -5*k + 2*j = -494. Suppose -4*a + k = 3*n, a + 3 = 5. What is the lowest common multiple of n and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 444874\/11 - 40414. Let 2*u**4 - 256\/11 - 16\/11*u**2 + 2\/11*u**5 - r*u + 68\/11*u**3 = 0. Calculate u.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1611 - 1590. What is the remainder when 56 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5.111, -4, 0.0704 in ascending order.\nAnswer: -4, 0.0704, 5.111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 4679 and 4638 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 59124269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 197 is divided by 171.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 3*s**2 - 114*s + 783 = 0.\nAnswer: 9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1143*-122\nAnswer: 139446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -23 + 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p + 18*p = 66612. Is p a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 4 = -f, 4*f + 4*g - 20 - 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-50)\/(-18) + 4\/18. Let t(b) = -9 - 11*b + 1 + d*b. Let r(p) = -6*p + 41. Let h be r(9). Let c(w) = -17*w - 17. Determine h*t(j) + 6*c(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 112848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61 - 58. Solve 1 = 2*l - y*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 4*v - 20 = 0, -2 = 3*m + 3*v + 13 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 577 = -7*d + 415, d + 2*h = 151. Calculate the lowest common multiple of 1002 and d.\nAnswer: 47094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27772625 to the power of 1\/2, to the nearest integer?\nAnswer: 5270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 6*x - 18. Let w(t) = -t - 5. Let p be w(-7). Let m(v) = -v**3 + 3*v + 2*v + v**2 - 3*v**2 + 7*v**p + 6. Give m(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -60051, -120170, -180307, -240468, -300659?\n\"Answer: -s**3 - 3*s**2 - 60103*s + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwooolkooookooo. Give prob of sequence kkl.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 96 and 1264.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/5 + 6\/30. Let w = 3 + y. Solve 1 = w*g + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 5 = 3*p + 13*u, 0 = -5*p - 5*u - 5. Let l(g) be the third derivative of p + 0*g - 6*g**2 - 1\/8*g**4 - g**3. Differentiate l(q) with respect to q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -273 = -5*m - 2*c, 4*c - 175 = -3*m - 0*c. Solve m*s - 57*s = -8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 8:30 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 44\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from qquuuuu.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40*(-12)\/180*3\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3.1 * 21224\nAnswer: 65794.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -313*y - 157*y + 5583 = 22*y + 31659 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 431 divide 495412039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 12*t**2 - 7. Let u be p(4). Suppose 23*c + u = 28*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (37 - -1) + -3 + 1. Calculate the greatest common factor of q and 2178.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 8*p + z = -5, -3*p + 15 = -3*z. Let s be p + 60\/(-18)*30\/4. Let m be (96\/(-80))\/(2\/s). What is the greatest common divisor of 40 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165 > 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(7\/3)*h**(-17)*h\/(h\/(h\/h**(3\/14))*h)*h**(6\/7))**25 assuming h is positive.\nAnswer: h**(-14725\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/(-6) + (1 - -28003). Is 20\/4*k\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000002101869 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 11, 0, 27\/23?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -86*n - 222. What is the remainder when 43 is divided by i(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -12*w**3\/5 + 21213*w**2\/5 + 26532*w\/5 + 5307\/5 = 0.\nAnswer: -1, -1\/4, 1769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1650*j**2 - 553*j**2 - 549*j**2 - 11 - 544*j**2.\nAnswer: 4*j**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (620\/31)\/10 - 40\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 32*u + 1337. Give o(-42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.075 + -0.475. Let m be (-10)\/(-12) + -2 - -1. What is the third smallest value in 2, m, v, -3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 98\/70*4\/(-2)*(-595)\/(-34).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*p**2 - 3*p**2 - 11 - 3*p**2.\nAnswer: -12*p**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -3*q**3 - 3*q**2 - 2*q + 2. Let b be h(-2). Suppose 0*m = -m + b. What is the remainder when 68 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1560 and 21608340?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.07?  (a) -10\/3  (b) -3  (c) 1\/1506  (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20020201 (base 3) to base 7.\nAnswer: 16165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -897 + 890. Let k(y) = 4*y**2 + 51*y + 311. What are the prime factors of k(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1402 (base 9) to base 14.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x. Let k(o) = -1130*o. Determine w(k(g)).\nAnswer: 1130*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3390?\nAnswer: 2, 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v + 2. Suppose 4*a + 2 + 20 = 5*n, 2*a + 3*n = 0. Let s(g) be the second derivative of -5*g**3\/6 + 5*g**2\/2 - 4*g + 5. Calculate a*s(k) + 7*l(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 801 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(5\/5))\/(3\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16912949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4*f = -2*f. Let r(h) be the second derivative of -h**4\/12 + h**3 - 7*h**2\/2 - 2*h. Let t be r(5). Which is bigger: f or t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2368803 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-6)*1*6. Let j be (-1 - (2 + h)) + -1. Is j greater than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -p - 2. Let o be (p + 22)\/(2 - 1). Suppose 20*u = o*u + 191. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 200*a**5 + 5006*a**4 + 2*a**3 + 89012081*a?\nAnswer: 4000*a**3 + 60072*a**2 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3286 + -7b6b?\nAnswer: -48a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -1248*a + 199*a + 4016*a + 2839*a + 1901*a in the form l + r*a and give r.\nAnswer: 7707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 472 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11234*l**5 - 5*l - 6?\nAnswer: 224680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus 1823.3?\nAnswer: -1822.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6504234 and 9207.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 4*k**2 - 5. Suppose -2*c = -5*c - w - 11, -c - 4*w + 11 = 0. Let b(q) = 4*q**2 - 4. What is c*b(z) + 4*n(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - 10*y**2 + 10*y - 27. Let x(l) = -l**3 + 11*l**2 - 11*l + 27. Let f(z) = 4*p(z) + 5*x(z). What is the remainder when 37 is divided by f(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**2 - c - 1. Suppose 0 = 10*m - 5*m + 10. Let p = m - -5. Let n(a) = -p*a**2 + 2*a + 2 - 5*a + 3*a + a. Calculate -3*n(v) - 4*q(v).\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyllatllllttyy. What is prob of picking 2 y and 2 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 10*p + 33. Determine h(-10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 0*i + 10 = 0. Suppose -5 = 2*f + 2*l - 27, 0 = i*f + 3*l - 59. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d - 1790 + d**3 + 2*d**4 + 1790 + 5*d**2 to p*d**2 + m*d + h*d**4 + i*d**3 + x and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2314, 9242, 20788, 36952?\nAnswer: 57734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.5 and 467115031?\nAnswer: 467115030.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(975) - (sqrt(468) - 4*sqrt(468))\/sqrt(12))\/(sqrt(30)\/(2*sqrt(640))*-6).\nAnswer: -64*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -28 - q**5 - 55*q - 152*q**4 + 295*q**2 + 153*q**4 + 4*q**5 wrt q.\nAnswer: 60*q**3 + 12*q**2 + 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -221.18 - -221. Which is greater: 5 or u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/15)\/(8828\/7040 + -1 + 1269\/(-4653))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39521 - -39525. Which is the nearest to 3?  (a) -48  (b) 5  (c) u  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-89668)\/(-3865))\/((-4)\/5).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -11 + 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1760119733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -14. Let c(p) = 9*p + 6. Let v(x) = 7*x + 5. Let b(r) = -4*c(r) + 5*v(r). What is b(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15244*q**2 - 1 - 7642*q**2 - 7643*q**2.\nAnswer: -41*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*(-3)\/6*0)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3645 + -29065\/8. Calculate the common denominator of s and 89\/62.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41 is divided by (-24)\/((-5)\/4 + (-1)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2*j - 14. Let o = -4 + 9. Let b be i(o). Let s = 33 + b. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 + 0)*(-20)\/80 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00064489 to five decimal places.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 731 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -8 and 1184?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**4\/9 + 6196*o**3\/9.\nAnswer: 2*o**3*(o + 3098)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 49773121 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2602 - 2597. Sort q, 4, 1\/106.\nAnswer: 1\/106, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 - 48*l - 539. Calculate a(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 737550 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + h + 4 = 0. Suppose 3*g - h*w = 320, 428 = 4*g - 4*w - 0*w. Let i = g + -75. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 276 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.64609072 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3\/3 + 82*b**2\/3 + 188*b.\nAnswer: -2*b*(b - 47)*(b + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (22 - 18) + (0 - -6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1975994953 to the power of 1\/3, to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 i, 1 o, and 1 z when four letters picked without replacement from swzsozix?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**0)\/c)**(3\/17)\/(c**2\/c**2) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 240090 + 2*b - 240090.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15 - -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 44950*j**2 + 118*j + 286 wrt j?\nAnswer: 89900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 * 847\nAnswer: 67.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/280 and -43\/37492.\nAnswer: 374920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (21755\/105)\/(-19).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -3. Suppose 0 = -4*g - 2*q + 56, -4*g + k*q - 47 + 111 = 0. 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: Let r = -9 - -33. Suppose 0*v + 5*d = 3*v - 47, -4*v + 24 = 3*d. Suppose -4*p - b - 19 = -v*p, -3*b - r = -4*p. Solve l + p = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1309 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -2 + 8. Let b(s) = 6*s - s + 4 + 3*s**3 + s**3 - g*s**3 + 4*s**2. What is b(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1614*n**2*p + 5*n*p + 1098*n - 332430*p - 770 wrt n.\nAnswer: -3228*n*p + 5*p + 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -7. Let h(j) = -4*j**2 - 159*j + 547. Let o be h(-43). Is g greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2628 = n - 7*z - 2614 + 5254, 45 = 4*n + 3*z for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4425323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 + 69 = 4*f. Suppose 31*v - 1806 = 10*v. Calculate the remainder when v is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 50 in -0.5, 2\/9, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 158 in 11, -5, -4, 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyhhyyyyyyyyyh. What is prob of picking 1 h and 2 y?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 40089*l + 481170. What is z(-12)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.8 and 116?\nAnswer: -92.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (20\/12)\/(-1)*(-5 - -2). Let t be y*(3\/(-2) + (-441)\/(-270)). Is -4 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1102, 1352, 1616, 1900, 2210, 2552?\nAnswer: 2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40163?\nAnswer: 40163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 - -12. Let u = g + -67. Suppose -162 = -u*q - q. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of -2*v**4 + 2*v**3\/3 - 44*v + 15. Find the first derivative of k(s) wrt s.\nAnswer: -24*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 15. Suppose -5*t + 3*i = -50, 4*t - 2*i - 24 = 2*t. Let o = p - t. What is the lowest common multiple of o and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -49489, -0.16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*z + 2*z - 3*z)*(4*z + 3*z - 5*z)*(11*z + 9*z - 17*z) to v + n*z**3 + r*z + y*z**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 565, 566, 567, 568?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 2 e, and 1 p when four letters picked without replacement from {x: 6, p: 3, d: 3, e: 3, t: 1}?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from scgg. What is prob of picking 1 g and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 3*k - 1596, 2*z - 4*k - 517 = z. Let r = z - 1121\/2. What is the common denominator of r and -13\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 5)*(-9 - 7 - 6)*(-2*i**2 + 2*i**2 - i**2).\nAnswer: -44*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w - 271. Determine q(4).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 - -49?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 77028 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1266?  (a) 360  (b) -0.4  (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3 - 3*k**2 + 0*k**2 - 7*k + 2*k**2 + 15*k. Let y = -8 + 15. What are the prime factors of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -81272689 and -0.4.\nAnswer: 32509075.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5678*h**2 + 5678*h**2 + 214*h**3)*(0*h**2 + h**2 + h**2).\nAnswer: 428*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 8911711.596 to the nearest 1000.\nAnswer: 8912000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4 and 687734.\nAnswer: 687738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3987613, 3987612, 3987611?\n\"Answer: -k + 3987614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/130 and 41\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -15639022\/11, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 72 - 165. Let n be (-2)\/(-11) + k\/(-33). What is the derivative of -42*w**n + 4 + 35*w**3 - 13 wrt w?\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11278359 is divided by 1558.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -180070.4 minus 0.1?\nAnswer: -180070.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1725)\/50)\/1*24\/18?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*l + l**4 - l**3 - 14*l + 12*l**2 + 0*l**3 in the form w + t*l**3 + s*l + v*l**4 + k*l**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8741 - -6778. Let t = -6542 + u. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 4, 1\/6, -4, 121, -2\/11, -0.074?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -655*m + 1771*m + 4756*m - 2 + 2 in the form p*m + w and give p.\nAnswer: 5872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -9*t. Let s(u) = -8*u - 5*u - 5*u. Let b = 88136 - 88131. Determine b*s(p) - 9*w(p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/25?  (a) 48  (b) -4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*t + 13*t = 0. Suppose 0 = 7*y - t*y - 63. Suppose -3*m = -y, 0*m + m = -4*l + 199. What is l rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 24216, 52071, 127674, 274899, 517620?\n\"Answer: 3979*w**3 + 2*w + 20235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0225 and 51027392950.\nAnswer: 51027392949.9775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 154710231*x**5 - 318257009*x?\nAnswer: 3094204620*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 PM and 1:35 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 123.78 * -42.7\nAnswer: -5285.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 9c5bd (base 14) to base 15\nAnswer: 77814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2171, -3401, -4629, -5855?\n\"Answer: w**2 - 1233*w - 939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000010233988699 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 604219*r - 604219*r + r**2 - 26*r**3.\nAnswer: -26*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 0.49?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.49*261735\nAnswer: 128250.15","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14343.\nAnswer: 3, 7, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/(-7) - (-5 - 0\/2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s**3 + 5*s**2 + 3*s + 5. Let n be 2*(-9)\/(-4) - 25*(-7)\/350. Let g(a) = a**3 - a**2 - 1. Suppose 4*c + 5 = 9*c. Determine c*y(w) + n*g(w).\nAnswer: 3*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 335317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m**2 + 3*m + 3. Let c be 2\/4*1*-4. Let h be o(c). Suppose h*g - r - 109 = 0, 3*g + 1 = 4*g + 5*r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18 - 20 - 2*b + 40 + 9*b**3 - 2*b**4 in the form x*b**3 + y*b**2 + j + h*b**4 + o*b and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.5976 - -1.5976. What is the fifth smallest value in -0.045, 2\/9, -2, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from plllhpllchlfcc?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -6, 3*x - 5*n + 176 = 176 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-18\/5)\/i*i\/(i\/(i\/i**0)))**(-50) assuming i is positive.\nAnswer: i**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -4*(-4*((sqrt(9) - (sqrt(144) - (sqrt(144) - (sqrt(144) - (sqrt(144)*-2 + sqrt(144))))) - sqrt(9))\/sqrt(3))**2 + -2)*-3.\nAnswer: -9242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -d56 (base 15) in base 7?\nAnswer: -11523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*q = 103 - 33 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33469221 and 1149.\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - t + 17, -2*m + 2 = m - 2*t. Suppose -5*f - 987 = -m*r, -r + 4*f + 739 = 2*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 24*k - 43. Sort 0, -3, 4, k in ascending order.\nAnswer: -3, 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 30, 30, 34, 42?\n\"Answer: 2*h**2 - 6*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/57 - 313160\/380. Does 26 divide ((-80)\/(-32))\/((-4)\/c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3173081?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7885 = 7*j - 7920 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + ((-104)\/18 - -4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -10 - ((232 - 312) + 4 + 1).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of 0*b**5 + 58\/3*b**3 + 0*b**4 + 0*b - 50 + 53\/60*b**6 + 2*b**2. What is the first derivative of u(p) wrt p?\nAnswer: 318*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-7\/5)\/(b\/b**(-12)) assuming b is positive.\nAnswer: b**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -34970581.59 rounded to the nearest one thousand?\nAnswer: -34971000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -38087*l + 180514.\nAnswer: -38087","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(104)\/(sqrt(24)\/sqrt(3)) + (3*sqrt(13))**2 + -5.\nAnswer: sqrt(13) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*y = 4, 8*h - 4*h - 4 = 4*y. List the prime factors of 2\/h - 3 - -187.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 14 = 5*a, -4*a - 3*g = 2 + 2. Differentiate 0 + a + 2*d**2 - 1 wrt d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -77923 + b?\nAnswer: -77916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 + 30*h**2 + 58*h + 68. Let g be l(-28). Let o(d) = d**3 + 4*d**2 - 7*d - 7. Let q be o(-5). Solve -g = -q*j - 7*u + 4*u, j - 4 = -5*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**1*x*x\/(x\/(x**(2\/5)\/x)*x)*x**(-8)\/x**4)**(12\/7) assuming x is positive.\nAnswer: x**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 288 a factor of 1670143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 6858678.\nAnswer: 2\/3429339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -47, 2, -1, -212 in descending order.\nAnswer: 2, 1, -1, -2, -47, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = -4*h - 10*n, 0 = -4758*h + 4755*h - 2*n - 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kfe when three letters picked without replacement from nooskeffk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5362*w = -419*w - 190773 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -13\/8, -1.23, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4 + 59*n**3 + 419*n**2 - 255*n - 225.\nAnswer: (n - 1)*(n + 15)**2*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 - m - 11. Let b be h(7). Let s = 36 - b. Suppose 2*x - s*l = 397, 4*l + 144 + 455 = 3*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -622*x + 19672. Calculate k(31).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 2*q**2 - 8. Let o be c(6). Let h = o + -15. Let n = h - 46. Solve -n*y - 7 = -1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(8\/7))**(-6\/23) assuming g is positive.\nAnswer: g**(-48\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 84*c**2 + 82*c + 90. What is the remainder when 2247 is divided by d(-83)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 10) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1071627 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 4\/150615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1062200132 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, f: 2, o: 1, u: 4}. What is prob of picking 1 u, 1 i, and 1 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -4*z + 2. Let v(k) = -3*k + 3. Let p(t) = 3*i(t) - 2*v(t). Let g(u) = u**2 - 7*u - 7. Let q(r) = 3*r + 3. Let w(d) = 3*g(d) + 7*q(d). Give p(w(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 7:19 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -92*g**2 + 3926*g - 34*g**2 + 124*g**2 in the form r*g + z*g**2 + h and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (((-1)\/(-3))\/1)\/(1402\/(-4206)). Let j be 2*(-15)\/86*1. Is v at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x\/x**2)\/x)\/x)**(4\/17)*(x**(-2\/5))**48)\/(x**(-8)\/((x**4\/x)\/x)*x**9*x\/(x\/(x\/(x\/(x*x\/x**(1\/7)))))*x) assuming x is positive.\nAnswer: x**(-12949\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = 21*t - 29. Put 18, 1, t in increasing order.\nAnswer: t, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 3 - 19 = 0, 0 = b - 4*f - 29. Let j be (-226)\/8 + (-4)\/(-16). Let x = j - -53. Calculate the remainder when x is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -62 + 78. Let z = -7 + d. Solve 4*j - z = -1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 60*w**2 + 12826 + 3*w**3 - 12827 - 7*w - 4*w**3 in the form p*w**2 + h*w**3 + n*w + s and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -568  (b) -1\/27  (c) 2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1694 + 1457.4. Round j to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1565 and 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 5) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 423*q = -425*q, -2*q + 11 - 23 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 10}. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 1:54 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 138*c**2 - 87*c + 18. What is the hundreds digit of n(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21221002 (base 3) to base 11.\nAnswer: 4385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -226912 divided by 14?\nAnswer: -16208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1075 by -21.\nAnswer: 1075\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -148, 2, 1, -2 in descending order.\nAnswer: 2, 1, 0, -2, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10382520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 63 = -4*h - 49. What is the fourth biggest value in 4, -0.3, h, 17\/14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 5.5. Suppose 0*q = -8*q - 24. What is the closest to 0 in k, q, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -179, -364, -549, -734, -919?\n\"Answer: -185*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 - 11*f + 2. Let a(m) = m + 18. Let s be a(0). Let y = s + -7. Does 2 divide i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 1222011002212211?\nAnswer: 1222011002212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3 and 0.0332?\nAnswer: 2.9668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -8, -1\/3, -17 in ascending order.\nAnswer: -17, -8, -2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 1:08 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 202331 (base 5) to base 10.\nAnswer: 6591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 222372107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*l - 2 - 11 = 0, -5*l - 5 = -5*q. Let v(x) = -2*x**2 + 6*x + 7. What is the common denominator of v(q) and (-2 - (0 + 8))\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1955*t**3 + 2*t - 2933 with respect to t.\nAnswer: -5865*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 399466 by 2.\nAnswer: 199733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3233011303 (base 4) in base 7?\nAnswer: -11216101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 b, and 2 x when four letters picked without replacement from xbxjzb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9859.99 + -9860. Suppose -2*s + 8 = -5*v - 18, 4*s - 28 = 4*v. What is the third smallest value in v, -1, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -40*o**2. Let l(m) = -m. Calculate w(l(j)).\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 9) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 899051183*m*q + 321716406*m with respect to q.\nAnswer: 899051183*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11805*i - 1600*i + 1 - 1 + 766*i.\nAnswer: 10971*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of -i**4\/12 - 3*i**3 - 16*i + 1. What is the remainder when 222 is divided by b(-15)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + 136\/96)\/((-2)\/32) - (-148)\/(-111)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 597 a factor of 5044915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 5894*t + 2291. Is u(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(2\/7))**(2\/7))**(20\/9) assuming x is positive.\nAnswer: x**(80\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.057698l to millilitres.\nAnswer: 2057.698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 smaller than -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.71, -5\/3, -12\/11.\nAnswer: -5\/3, -12\/11, -0.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17814971?\nAnswer: 17814971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v\/v**(-2\/19))*v*v\/(v*v**(1\/2))*v*v**(-7\/5)\/v**(-14) assuming v is positive.\nAnswer: v**(2659\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 205097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (((-4)\/(-24))\/((-483)\/1449))\/((-4)\/528)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 202914 and 112730?\nAnswer: 1014570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31448.\nAnswer: 2, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 10*q = -26. Suppose l - q = -67. Let p be (-6)\/(-80)*l - -4. Is p <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/(g**(1\/11)*g)*g**3)\/(g*g**(-23)*g)**35 assuming g is positive.\nAnswer: g**(8128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 - 11. Suppose 5*c + 0 = -a*h + 7, -4*h - 17 = -3*c. Find the second derivative of -g**3 + g**3 + 3*g**c + g - 2*g**3 wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (3 + 16 + (-8 - 5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 5 + 8*s - s**3 - 8*s**3 - 7*s**2 + 8*s**3. Let i be b(-8). Solve 4*f + 0 = -4*x + 12, 5*x = i*f + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/11  (b) -165  (c) 30451  (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/(-105))\/(24\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 + 1040*k + 263504. Determine s(-437).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0208931 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -348848, -348845, -348840, -348833, -348824?\nAnswer: -348813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - 1 - 42\/(-7). Suppose 5*p - 14 = -4*c, 3*p = h*c + 29 + 9. What is the least common multiple of 156 and p?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 138c55 - -2?\nAnswer: 138c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 750082597*o**2 - 274906180?\nAnswer: 1500165194*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -110, -150, -226, -344, -510, -730, -1010?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5065872456 to the power of 1\/2, to the nearest integer?\nAnswer: 71175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99)*1*-3 - (sqrt(99) + -1 + 2) - -4*(2 + sqrt(99)*1))*-4)**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 41 and 104673.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 59\/538254 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 5 - 7 = 0. What is the units digit of 19\/t*12\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 78 + -183. Let v = 116 + k. Let u be 2\/(-9) - (-83)\/9. Is u > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2470853 (base 9) to base 16.\nAnswer: 1488a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + (2 + -3)*-1. Suppose -2*s = -w - 3*s + 2, n*w = 5*s + 18. Suppose -2*p = -w*p + 16. What is the lowest common multiple of p and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 53187.75mm?\nAnswer: 53187750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -427 - 6?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -118\/7 + 17. Let o = 6 + -4. What is the smallest value in -0.4, o, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 219 - 219. Solve 14*j - 8*j**3 - 5*j**3 - 7*j**2 + 9*j**3 - 3 + p*j**2 = 0.\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*1*sqrt(104) + sqrt(104) + sqrt(104))\/sqrt(8)*-5 - (1*-1*(sqrt(13) - -2*sqrt(13))*-4)**2.\nAnswer: -1872 - 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -108, -764, -2518, -5910, -11480, -19768?\n\"Answer: -90*n**3 - 9*n**2 + n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -255*l**4 - l**3 - 70*l - 31 wrt l.\nAnswer: -3060*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkqkmkkkhqkxhk. Give prob of picking 3 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 3*x + 7. Suppose 19 = 3*j + 34. Calculate v(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f - 2. Let h be o(-5). Suppose -k + 450 = 2*w, -k = -2*w + 4*k + 450. Suppose -5*g - w = -h*g. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1133.9 + -28.49\nAnswer: -1162.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -227*r + 4913. Determine m(21).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 1, -45\/7, -0.2, -68, -0.62?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 4 - 81*n + 64*n to k + q*n and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 1 + 10 = 0. Let n = k - -1. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.3 - -3.3. Let o = 3.05 - d. Let s = -29 - -27. Which is the second biggest value?  (a) -4  (b) o  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4536 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 1. Let u be f\/(-2) + (-3 - -5). Suppose -4*s + 4 + u = 0. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 4*g + 8 = 0, -5*c + 4 = -c + 2*g. Solve 3*p - 32*o + 36*o = -17, c = 2*o + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -5\/4  (b) -0.4  (c) -1  (d) 2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 - 8*a**2 - 19. Determine i(9).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 - 2*b**3 - 2 + 13 + 13.\nAnswer: -2*b**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13.38 + -10.38. Which is the nearest to 0.1?  (a) k  (b) 1\/5  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -740 + 1410. What is the highest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2421.4679 minus -95?\nAnswer: 2516.4679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 210 - 209.9. Let f = -55\/6 - -397\/42. Let i = -29.8 + 30. Which is the nearest to t?  (a) 3  (b) i  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25715 or -1\/4?\nAnswer: 25715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1090, 4323, 9694, 17203, 26850, 38635, 52558?\n\"Answer: 1069*h**2 + 26*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 + 12*u - 11. Let y = 6 + -20. Is 17 a factor of p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59 - 150 + 47 + 54*f - 10*f + 44.\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50, 45, 28, -7, -66, -155?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-30507)\/9*(-52)\/8. Let l = 22632 - r. Let y = l + -605. What is the common denominator of y and 11\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1057751283 to the power of 1\/2, to the nearest integer?\nAnswer: 32523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1745, -377, -2499, -4621, -6743?\nAnswer: -8865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 1 = -15. Let i be ((-3)\/(45\/110))\/(p\/3). Suppose 3*t - 48 = -2*y + 222, 3*y - 185 = -2*t. What is the highest common factor of t and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + -2061709422015\nAnswer: -2061709422014.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -649 divided by 13\nAnswer: -649\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312 + 129 + 301 = 106*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-3)*f)\/(f\/(f\/f**(3\/4))))**(-1\/18)*(f*f**1*f*f*f*f**(-8))**(-24) assuming f is positive.\nAnswer: f**(5195\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/289960 and 41\/1196085.\nAnswer: 9568680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 PM and 10:09 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -755, -3034, -6833, -12152?\n\"Answer: -760*q**2 + q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*r = 2*i - 41*r - 33, 5*i + 4*r = 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -2*y + 91 - 23, 169 = 4*y - 3*d. Suppose y = 10*x - 420. What is the highest common factor of x and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (159 - -58 - 240) + 0 + 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -18 + 22 - (-2 + 2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - 5*c**2 + 171*c - 871. Give x(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttaaaaaaaaaattaaa. Give prob of picking 2 a.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 13.1. Let x = -38.5 + 37. Let j = x - -1.8. Which is the closest to q?  (a) -2  (b) 12  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:24 AM and 10:56 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + 3*y - 4*y)*(3 - 1 - 1)*((4*y - 3*y + y)*(2 + 2 - 3) - 1 + y + 1 - 4*y - 3*y + 5*y + 2*y + 0*y - y + (30 - 30 + 4*y)*(1 + 2 + 3)).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a**3 - 5*a**2 + 5*a**2)*((1 - 1 + 2*a)*(-1 + 6 - 3) - a - a + a - 4*a + a + 2*a - 2*a - 2*a + 5*a) as f*a**4 + v + k*a**2 + c*a + m*a**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -36bd - 1?\nAnswer: -36c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -681 = -7*n + 173. Let q = n - 45. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 193 = 2*i + 5*a, 4*i - a - 351 = -4*a. What is the highest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g**3 + 31*g**2 + 1 + 1 + 5 - 6 to the form w*g**2 + a*g**3 + v + j*g and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000259728 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6113206 + 2*c**3 + 12228594 - 6115388.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2\/5 + 142518*p\/5 - 142521\/5.\nAnswer: 3*(p - 1)*(p + 47507)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 128143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2272 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 7, j: 3}. Give prob of sequence jvj.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9048 is divided by 124.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of 3*w**4\/8 + w**3 + 7*w**2. Find the first derivative of g(k) wrt k.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*k*n**5 - 56639*k*n**4 + 782494*k*n**2 wrt n.\nAnswer: 1080*k*n**2 - 1359336*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2641 - 1837. Let x = r - 1160. Let a = 625 + x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 2920*i - 535102. What is v(-173)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 + 8*a + 7. Let h be c(-7). Suppose 3*s + h*s = 366. List the prime factors of s.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22140 times 4?\nAnswer: -88560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -24, 7, -2\/29, -1, -2, 3.8?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0, 5, 2375, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 6, c: 13}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 5:04 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1143*k - 11368 = 737*k for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-7144)\/(-38))\/(-47)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -561 divided by 3.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, 2133, 0.1, 3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 5, -4*v + h = -5*v + 82. Let o(w) = 3*w - 21. Let s be o(10). What is the greatest common divisor of v and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 17 = 2*g, 3*g - 5*g + 27 = -a. Let c = g + -16. Put -3, c, -1 in increasing order.\nAnswer: c, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 6:00 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.209 + -1.01. Let m = -0.259 + g. Sort -3, 0.05, 1, m in increasing order.\nAnswer: -3, m, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1601935017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k**2 - 34*k - 5. Determine v(-16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + -1120323?\nAnswer: -1120333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 4*b - 1. Let s be y(1). Suppose 7*v = s*v - 3*i + 44, 2*i - 16 = -v. Suppose 10 + 18 = 7*a. Solve a*n - v + 0 = 3*z, 3*z = -2*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10493*h + 1356 = -10380*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/2*c - 1\/2*c**4 - 3\/2*c**2 + 0 + 3\/2*c**3 = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 - 3089*w - 127948. Give d(-42).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 330554221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 64 + -55. Let c be (4\/(-2))\/((-8)\/(16\/n)). What is the nearest to 2\/7 in -0.2, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 + 2*w**2 + 2*w - 1. Determine k(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 300.2 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 397658\/9 or 44185?\nAnswer: 44185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -186, 5, 8.\nAnswer: -186, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -3\/5  (b) 5\/2  (c) 0.2  (d) -29072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15012.347 + -16703.21. Let z = h + 1692. Round z to 2 decimal places.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 13856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 98949*b - 98944*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1447 - 1002. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 7*r**2 + 8*r + 14. Let n be k(-6). Suppose -4*h + n*h = -6. Suppose h*t + 2*u - 136 = 0, t + 174 = 5*t - u. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 - 9*u - 11. Let n(h) be the first derivative of -h**4 + h**3\/3 - 18*h**2 - 43*h + 42. Let t(x) = 9*b(x) - 2*n(x). Is t(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -570310.98 rounded to the nearest one hundred?\nAnswer: -570300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - k = -30. What is the least common multiple of k and -6 + 222\/27 + (-6)\/27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 206*b**2*t - 165*b**2 - 25*b*t - 503262*t + 2 with respect to b.\nAnswer: 412*b*t - 330*b - 25*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (402 - 345) + 2 + -79?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86 + 14 = 5*m. Let j = m + -17. Factor -1\/4*y**4 + 0 - 1\/2*y**j + 0*y - 1\/4*y**2.\nAnswer: -y**2*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12322382*n**3 + 16976877*n**2 wrt n?\nAnswer: -73934292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-116)\/(-174))\/(4\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21657862 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 148480\/17 + -8734. What is the nearest to -2\/7 in -0.03, -1, y?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w**2 - w + 1. Let l be s(-2). What is the common denominator of l\/15*606\/(-8) and 101\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 72845.53 litres?\nAnswer: 72845530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*((x**(-2\/31)\/x)\/x*x)\/x*x*x\/x**(3\/2))\/(x**1\/x)**(2\/41) assuming x is positive.\nAnswer: x**(-35\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 - 25*x**2 + 27*x + 27. Let l be s(-26). Let p(c) = c**2 + 1. Give p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106*h + 109*h - 473 = 5*y, 0 = -2*h - y + 324. Calculate the remainder when h is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 17*m**2 - 7. Let n(k) = 9*k**2 - 4. Let x(o) = -4*c(o) + 7*n(o). Let h = -38 + 37. Give x(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - (-2 - 0 - -2). Let z be (-54)\/((-3)\/(-6) - u). What is the highest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-932)\/(-176) - 16\/4 and 4\/7.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 279 and 81962667.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 + 8*s - 4. Let y(u) = u**3 - 8*u**2 + 6*u + 12. Let q be y(7). Suppose 8 = j - o, -5*j = 5*o - q - 5. Determine c(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/(j*j**(1\/3))))\/j)**(2\/95)\/(j\/(j\/(j*j*(j**(4\/3)*j)\/j*j*j))*j**(-7)\/j) assuming j is positive.\nAnswer: j**(254\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, n: 5, b: 4, p: 1, x: 1, s: 1}. Give prob of sequence usxn.\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 321 - 180. Let x = k + -141.4. Which is the closest to 1?  (a) 3  (b) x  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101011 (base 2) to base 10\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -3507*n - 1701. What is the hundreds digit of w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.7*2085540.\nAnswer: -1459878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19333 is divided by 102.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/(-3 - 1) - 12510\/(-12150)*27.\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of -d**6\/120 - d**5\/12 + d**4\/24 - 2*d**3\/3 + 7*d**2. Calculate k(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 - 0. Let c = 0.09 - -16.91. Let q = c - 20. Put q, -5, k in decreasing order.\nAnswer: k, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 73, 119, 181, 259?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1*(sqrt(117) + 3*sqrt(117) - sqrt(117)) - ((sqrt(117) - (1 + sqrt(117) + sqrt(117))**2) + -5)) + 5.\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -2*a**3 + 12*a**2 + 3. Let j be o(6). Suppose u + j*u = 4696. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 15*v**2 + 13*v + 19. Let b(c) = 2*c**3 + 11*c**2 + 7*c + 18. Calculate the least common multiple of y(14) and b(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5152757 is divided by 256.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 3 - 5 = -4*u, 5*h - 8 = -3*u. Let x = 2 - u. What is the least common multiple of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 310714, 310630, 310546, 310462?\n\"Answer: -84*l + 310798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**5 - 37*k**3 + 36*k = 0.\nAnswer: -6, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -5*c + 7. Let a(n) = 4*n - 4. Let w(f) = 4*a(f) + 3*l(f). Suppose x + 11 = 5*r, -2 = -3*x + 4*r - 24. Calculate w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine fifths of a meter in millimeters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yqq when three letters picked without replacement from {q: 2, y: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 637 is divided by 338?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/1264 and 113\/23182392?\nAnswer: 46364784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((2 + -3 - 7)*-1)\/(-27 - -37). Factor -8\/5*q**4 + k*q**5 + 4\/5*q**3 + 0*q**2 + 0 + 0*q.\nAnswer: 4*q**3*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 129014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**2 - 3*r**2 + 9*r**2)*(-2 - 16 - 1 - 33).\nAnswer: -312*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 2874\/8*(-116)\/(-87)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of -43*l**3\/6 + 73*l + 2. Let z(p) = -20*p**2. Calculate z(a(q)).\nAnswer: -36980*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -13716 (base 9) to base 4\nAnswer: -2101302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/18 - (4098\/(-27) - 2). Let b be 4\/((-29)\/(-56) - 3\/8). Calculate the greatest common divisor of s and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/8 + (-85)\/(-20). Suppose 59 = 5*p + q*v, p = 3*v + 8 + 19. Let b = p + -11. What is the remainder when 5 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/2)\/((-9)\/24). Let j(b) = 3*b + 2. Let z(q) = -5*q - 1. Let m(y) = 2*j(y) + z(y). Give m(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -0.3, 2, 2.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -3*p + 3*c, 0 = -0*p + 4*p + 3*c - 113. Calculate the remainder when p is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 115*a**2 + 14*a + 15. Determine o(-1).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2, -1\/3366, -8?\nAnswer: -1\/3366","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + 9*h**2 - 9*h + 9. Determine r(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010 + -1110111110?\nAnswer: -1110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 50652320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 260 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) + sqrt(132)*-3 + sqrt(33))\/(2*sqrt(99)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 28716\/33 - 24\/132. Suppose -3*l = 5*d - u - 53, 0 = 3*l - 4*d - 887. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 16 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/2  (b) 1\/4  (c) 23\/5  (d) -0.072  (e) -130  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6047 = 4*x + t, -3467 - 2571 = -4*x + 2*t. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12322 and 184830.\nAnswer: 184830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yccccy. Give prob of sequence yy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -1095.\nAnswer: -4\/1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 - 3*f + 4. Let r be z(-4). Suppose r = -b + 4*b - 27. Calculate the highest common factor of 63 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 0.1, 78\/47?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v + 9. Let a be p(7). Let s(g) be the second derivative of g**4\/6 + 3*g**2 - 6310*g - 2. Let f(z) = 2. Calculate a*s(n) - 6*f(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/370 and 79\/370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 214?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 6*p + 9. Suppose -5*s = -5*u + 55, 5*s + 5 = -2*u - 1. What is the units digit of i(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -40*o**2 - 79*o + 9. Let q(c) = -2 + 0*c**2 + 7*c**2 + 7*c**2 + 20*c - 4*c**2. Let v(h) = 2*j(h) + 9*q(h). Find the second derivative of v(d) wrt d.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.216 + 0.74. Round m to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6 times 85?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w - 7. Let l be y(5). Let g = 542 + -532. Let h(n) = -n**3 + 9*n**2 + 9*n + 20. Let i be h(g). Put l, i, -3 in decreasing order.\nAnswer: i, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 15*j**3 + j**2 + 2*j + 1. Let h be q(-1). Let s be -2 + (216\/h)\/(-4). Which is bigger: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1083087333*n**2 - 1006787884 wrt n.\nAnswer: 2166174666*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31.9 + 32. What is the nearest to 0 in 0.5, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151 + 1086 = 5*u. Let o = u - 170. Suppose 0 = -5*a - 3*l + 337, -5*a + l - 3*l + 333 = 0. Calculate the remainder when a is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + -2. Let n = -1.1744 + 0.2134. Let z = 0.039 - n. Sort z, x, 0, 2 in decreasing order.\nAnswer: 2, z, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/2)\/(-1 - 6\/4). Let n = -0.1 - 0.9. Which is the closest to n?  (a) g  (b) -1\/3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - (-23 - -7) - 98 - (2 - (15 - 1))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 258 + -55?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -2*p**3\/3 + p**2\/2 + p. Let r be y(-3). Solve -3 = -2*c - r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15450 - 0.0648314.\nAnswer: 15449.9351686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 271719059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34 - 15 - 1 - 1) + -126.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 171 = 3*o. Let h be ((-108)\/(-16) + -4)*o. Let b = h + 998\/7. Which is smaller: b or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 579598321 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 3140\/620 - -2.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 + 6*v**2 - 9*v - 12. Let p be f(-7). Let o be (5 - 7)*p + 1 + 0. List the prime factors of 135 - (-3)\/(o + 0).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 5  (b) 2  (c) -193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -4*h**2 - 3*h - 14. Suppose 15*r - 217 - 278 = 0. Let m(o) = r + 2*o + 3*o**2 - 91 + 29 + 38. Determine 8*m(u) + 5*v(u).\nAnswer: 4*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**2\/7 + 118*s\/7 + 636\/7 = 0. What is s?\nAnswer: -53, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 - 10. Let g = f - 9. Suppose -6*r + u + 180 = -2*r, -45 = -r - g*u. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4997554950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23 - -23.5. What is the biggest value in 7, 1, n?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/60)\/(8\/32 - (493\/4)\/17)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9550 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 1. Let n(p) = p + 4. Let r(d) = n(d) + 6*o(d). Let b be r(-5). Let f be (280\/(-50))\/((-14)\/35). Solve b*z + f = -y, 3*z = 2*z - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.1016 + 4.2. Let g = y + -0.109. What is g rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4382033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-81)\/(21141\/(-464)))\/2*-2\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + w - 3*w)*(-1 + 2*w + 1) + (-4 + 4 + 1)*(0*w**2 + 2*w**2 - 3*w**2).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -212 divided by -1289085\nAnswer: 212\/1289085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnl when three letters picked without replacement from nllnlllllllll?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 1. Let z(c) = 108*c**2 - 336*c - 188. Let r(j) = 8*g(j) + z(j). Factor r(k).\nAnswer: -4*(k - 7)**2*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**2\/11 - 1015360*n\/11 - 128869491200\/11 = 0 for n.\nAnswer: -253840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224534.\nAnswer: 2, 131, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/16 and 61\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 425.1918 to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -238 divided by 9.\nAnswer: -238\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r**2. Let a(c) = 36645551*c**2. Determine g(a(k)).\nAnswer: -2685792816187202*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 4 - 34*s + 2 + 32*s to the form v*s + o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16328 is divided by 13897.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.06565 + 33?\nAnswer: 33.06565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -23*j**2 + 173*j + 307. Suppose 300 = 3*z + 2*z. Calculate the least common multiple of n(9) and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.04366, -0.5, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 6*o - 3. Let i(t) = -7*t + 3. Let y(j) = 5*i(j) + 6*r(j). Calculate y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72003581 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 0)*(0 + 5 - 3)*(-t + 2*t**3 + t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 0.05, -2269, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1236757*m + 220*m**2 - 1236757*m to t*m**2 + j*m + i and give t.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 661323 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00024962372 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tta when three letters picked without replacement from {a: 1, t: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3b3 (base 15) to base 7\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oqbqgzgz. What is prob of picking 1 b, 1 q, and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -4*x - 0*x + 2*j, -5*j = -2*x - 18. What are the prime factors of 19*(-8)\/(1*x)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.7 and -38876426284.\nAnswer: -38876426283.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - x = -5*x - 16, 0 = 3*a + 4*x + 16. Solve a = 3*c - 2*m - m + 24, -2*m = 2*c + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -6. Let f = 29 - 23. Let p = q + f. What is the third biggest value in p, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 33*r - 2385. Calculate t(72).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**30*i)\/i*i*i\/(i*i\/(((i\/((i*(i*i**19)\/i)\/i))\/i)\/i))*(i\/(i\/i**(-22)))**(-26) assuming i is positive.\nAnswer: i**582","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 9902.4 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l*(l*l\/(l*l**7\/l*l)*l)\/l*l*l*l\/(l*l**(1\/3))*l*l*l**(-14)*l**(-3) assuming l is positive.\nAnswer: l**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -384*d - 719007 + 719007 to p*d + t and give p.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*p + 4*p. Suppose g + 166 + 39 = 2*x, p = 2*x - 4*g - 190. What is the greatest common factor of x and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 54 + -93. Let l = y + 42. Suppose 2*u - 14 = -i + 3, 2*i + 8 = l*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/12)\/((-3)\/9). Let p(q) = -q**3 + 3*q**2 + 3*q + 2. Calculate the least common multiple of 6 and p(a).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 68 + -76. Let v(a) = 5*a**3 - 5*a**2 + 5*a - 6. Let o(s) = 14*s**3 - 16*s**2 + 16*s - 17. Let d(j) = f*v(j) + 3*o(j). List the prime factors of d(5).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d. Let t be p(2). Let v be 9\/3 - (-2 - (-1 + t)). Let n(l) = l**3 - l**2 + 3*l - 5. Let o be n(v). Sort o, 0, -4, 3.\nAnswer: o, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 522 divided by -9\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hsshssss. What is prob of sequence hhss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 + 0)*(-4)\/3. Let u(h) = -h. Suppose 0 = k + 7 - 9. Let y be u(k). Sort c, 3, y.\nAnswer: y, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -575*o + 16407. What is f(29)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**5 - d**5 + d**5 + (2 + 0 + 0)*(-4 - 2*d**5 + 4) - 2522*d + 2522*d - 553*d**5 + 3 + 2*d**5 - 3.\nAnswer: -554*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 43*t**3 + 3*t**2 + 5. Let y(l) = -22*l**3 - 2*l**2 - 3. Give 3*s(d) + 5*y(d).\nAnswer: 19*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*y = -25176, -4*d + 22*y = 24*y - 33568. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**6 + n**4 - 3162*n**3 - n**2 + 1226?\nAnswer: 120*n**3 + 24*n - 18972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(-8)*(-71)\/(4970\/280)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -3, -2\/7, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -43042 times 100.8\nAnswer: -4338633.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + -55 + (-1 - -29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(56) - sqrt(112)\/sqrt(8))\/(sqrt(8) - 3*sqrt(72)) + (sqrt(14) - (sqrt(70)*-3)\/sqrt(5))\/(5*sqrt(2)*2))*-3.\nAnswer: -81*sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2107, -3899, -5689, -7477, -9263?\nAnswer: -11047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -847 and 172?\nAnswer: -145684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 496 + -351. Calculate the highest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/6, 0, 1, -4, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1960))\/(sqrt(180)\/sqrt(9)) + 4 + 5.\nAnswer: 9 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that f**5\/2 + 20*f**4 - 606*f**3 + 2099*f**2 - 773*f\/2 - 3111 = 0.\nAnswer: -61, -1, 2, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2123c - 10?\nAnswer: 2122c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*5*-1*sqrt(1573) + (-3 + sqrt(832)*2)*-4)**2.\nAnswer: -9456*sqrt(13) + 2018212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 PM and 4:27 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 19967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.331342 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 91294614 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of c**4\/78 + 18*c**3\/13 + 729*c**2\/13 - 37*c. Suppose f(k) = 0. Calculate k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -190676 or -190691?\nAnswer: -190691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5779 or 5780?\nAnswer: 5779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 54305 + 204312?\nAnswer: 303021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2665.774 and 69.\nAnswer: -2596.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10534 is divided by 3452.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + 1. Let o be h(2). Suppose -14 = -3*r - n, r + 22 = o*r + 2*n. Suppose -2*v + r*v = 10. What is the greatest common divisor of v and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.020822866 rounded to four dps?\nAnswer: 0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*w = -37*w + 48. Calculate the remainder when w is divided by 14\/4 - (-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2. Let o be (-1 + 2)*1 + 1. Let t be 18\/(-30) + (-28)\/(-5). Let y(g) = t*g**2 - g**o - g**2. Give w(y(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 168 and 1608?\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of 13*r**9\/72 + 22*r**5\/15 + 16*r**2 - 15. What is the third derivative of q(v) wrt v?\nAnswer: 10920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(12) - (sqrt(12) - sqrt(36)\/sqrt(3))) - sqrt(5)*3*1)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.024 + 12.976. Do h and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + z - 1)*(-3*z**3 + 9*z**3 + 3*z**3) - 1 + 129*z**4 + 1 - 51*z**4.\nAnswer: 87*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.091, -1073\/6 in increasing order.\nAnswer: -1073\/6, 0, 0.091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*t + 2*t - 378 + 377 as g*t + c and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -18940894*k**3 - k - 74248617 wrt k?\nAnswer: -56822682*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 11:41 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) 20  (b) -2\/35  (c) -1\/4  (d) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.04  (b) -17  (c) -0.5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -107.4936 minus 27?\nAnswer: -134.4936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 9 = -3*f, 234*l = 4*f + 241*l - 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 2\/6 - (-251)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 6, s: 4}. What is prob of picking 1 s and 3 z?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jttt when four letters picked without replacement from {j: 3, t: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 185, -0.08, 0.2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-109 - 16*o - o**4 + 0*o**4 + 15*o)*(-1 + 4 - 2) in the form i*o**2 + v*o**4 + f*o**3 + m*o + s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**2 - c - 30. Let y be a(-5). Is (-5)\/15*(1 + y + -16942) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -20.8 and 6.766.\nAnswer: -140.7328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 16839, 16833, 16823, 16809, 16791, 16769?\n\"Answer: -2*b**2 + 16841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 95, 321, 569, 845, 1155, 1505?\n\"Answer: z**3 + 5*z**2 + 204*z - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28 by 18.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.077, -5, -1\/2, 8, -17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*z**2 + 86*z**2 + 196*z**2 - 53*z**2.\nAnswer: 333*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h. Let u(d) be the third derivative of d**7\/630 - 7*d**6\/720 + 7*d**5\/10 - 4*d**2 + 5. Let t(r) be the third derivative of u(r). What is w(t(l))?\nAnswer: 16*l - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003243881 rounded to six decimal places?\nAnswer: -0.000324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 t, and 1 g when three letters picked without replacement from {w: 1, g: 5, t: 1, o: 4, m: 3}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 250304 is divided by 800.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -26.47 + 31.47. What is the closest to 0.1 in 0, -0.4, 3, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 255\/(-238)*(-200)\/4500.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -38 + 37 + -13\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4828.\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3 + 531266*i**2 - 35278585840*i - 246976133600.\nAnswer: -2*(i - 132820)**2*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1374702338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 36605181, 36605175, 36605159, 36605127, 36605073?\n\"Answer: -f**3 + f**2 - 2*f + 36605183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5363549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 282 + 12. Let n be 6\/15 - w\/(-15). Suppose -3*g = -g - n. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c - 3. Let i = -9 + 4. Let x be l(i). What is the second derivative of x*f + 2*f**2 - 5*f + f**2 + 8*f wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 + -12. Suppose j - 11 = -2*i, v = 2*j - 0*i - 5*i. Suppose q - 2*z = 2, 472*z - 18 = -4*q + 475*z. Calculate the smallest common multiple of j and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*w**3 - 974*w**2 - 974*w**2 - 8*w + 1943*w**2 to the form a*w**2 + s + f*w + p*w**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20382*f**2 + 19931*f**2 + 4*f + 0*f + 14*f to the form j + m*f**2 + d*f and give m.\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2765 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 12 = -11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -4*t**2 + 2*t**2 + t**2. Let a(f) be the first derivative of -f**5\/30 + f**3 + 1. Let g(x) be the third derivative of a(x). Calculate b(g(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.3, -0.1, 2\/13, 1139\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 57, 60, 63, 66, 69, 72?\n\"Answer: 3*t + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 - 4 + 4)*(105 + 12916*h + 102 - 316 + 109).\nAnswer: 25832*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 0 - -4 - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14816*f**2 - 2*f - 12946?\nAnswer: 29632*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80691849 and 105?\nAnswer: 403459245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/6090 and -3\/449848.\nAnswer: 6747720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -0*n + 850. Suppose -43 + n = s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/26, -21\/11, -4.\nAnswer: -4, -21\/11, 1\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**2 - 1 + 1)*(x + 2*x + 1 - 3).\nAnswer: 3*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from efffgfeeecjkef. What is prob of picking 1 f and 1 k?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-48)\/12)\/(1 - 2). Let f be (2\/5)\/(2\/230). Suppose 34 = s + a - f, v*s = -2*a + 310. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 513684?\nAnswer: -1\/171228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5112797.\nAnswer: 577, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/47  (b) 2.27  (c) 1  (d) -5\/88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**3 - m**3 - 103*m**3.\nAnswer: -105*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 538 is divided by 206?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 - 14*w**2 - 5*w + 271. Give x(12).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of j**6\/120 + 22*j**5\/15 - 91*j**4\/24 - 89*j**3\/3 - 8976*j**2. Suppose m(w) = 0. Calculate w.\nAnswer: -89, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -32*s**3 - 1074 + 1074 + (4*s + 3*s - 5*s)*(-s**2 + 3*s**2 - s**2) + (0*s**2 - s**2 + 3*s**2)*(-2 + 2*s + 2) + 586 - 26*s**3 - 586.\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3\/(-30)*-10 - -1526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206 is divided by 113?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 + 75*p - 552. What is k(-49)?\nAnswer: -1826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8\/93 - 13\/31. Let q = 1555.7 + -1556. Put x, 31, q in descending order.\nAnswer: 31, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/3))**(-30)\/(d*d\/(d\/d**(-1\/3)*d))**19 assuming d is positive.\nAnswer: d**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 - 2*y + 2. Let w(a) = 5*a - 4. Let g be w(-2). Let k = -14 - g. Let j be u(k). Solve -7*x + 2*x - 13 = j*t, -4*t + 16 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3}. What is prob of picking 2 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5.41 and -0.3?\nAnswer: 5.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9\/10 in -7, 0.07, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 35329600 = 3*t, 88323977 = d + 4*d + 4*t. Let z = 11754797 - d. Round z to the nearest one hundred thousand.\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dbib when four letters picked without replacement from {d: 1, b: 5, i: 12}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6584 + -6391. Solve 2*y = -t + 203 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 100*a**2 + 95*a + 773. Is 25 a factor of q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -545831*p = -i - 545825*p + 9, i - 6*i - 11 = -2*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10501 - 20988 + 0*v**3 - v**3 + 10487.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 205731566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 348959 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 22 - (17 + (-5 - (0 + 1) - 9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -10*f - 68. Let c be u(-7). Solve -11 + 11 = -c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/671 and -115\/34892.\nAnswer: 34892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - (-6964437)\/4788 - (-3 + 2). Let x = 1631\/228 + n. Let b = x + -1458. Is 5 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*s**2*w**3 + 30*s**2*w**2 + 2286*s*w**3 - 23*w**2 wrt w.\nAnswer: 18*s**2 + 13716*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34 by -17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/789 and -1.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -316 - -318. Solve -4*p = -4*y - 12, 2*y + 2 = 2*p + n*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -61.7317755 minus -0.2?\nAnswer: -61.5317755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 229 - 229. Suppose -3*f + 5*m + 1121 = k, 3*f - 6*f + 1171 = 5*m. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15.08581498 + 1931\nAnswer: 1915.91418502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -78*h**3 - 64*h + 9002 wrt h.\nAnswer: -234*h**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 164623.57 to the nearest one hundred.\nAnswer: 164600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 102242183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 18 = -2*b, -5*x - 7 - 2 = -8*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 14 = g. Suppose 2*f - 10 = -6. Suppose 0*p = -f*p - 14. Is p bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.84 + 3.9. Let s = f - -0.14. What is the nearest to s in -3, 0.01, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 0*l + 17 = -3*i, i = -4. Let z be ((-827)\/l)\/((-3)\/414). Let j = 1385874 + z. Round j to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*g = -124*g - 4*k, 5*g - 2325 = -3*k. Calculate the least common multiple of g and 3.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((51 - 26 - 8)*(5 + 4*a - 5) - 4*a - a + 2*a)*(66 - 9 + a - 2*a + 3*a).\nAnswer: 130*a**2 + 3705*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 11666, 93344, 315034, 746744, 1458482, 2520256, 4002074?\n\"Answer: 11668*l**3 - 2*l**2 + 8*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10424263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -133?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**4 - 95*j**3 - 50*j**2 + 780*j + 1080.\nAnswer: -5*(j - 3)*(j + 2)**2*(j + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5846711 divided by 1.\nAnswer: -5846711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1167339  (b) 8  (c) -1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(35\/(-28))\/5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-132)*168\/63\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 745*f**3 + 139*f**2 + 14880*f wrt f.\nAnswer: 4470*f + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 12*i**2 - 10*i - 11. Let n be q(11). Suppose -3*f + 11 - 2 = n. Suppose 40 = 5*a - 0*a. Calculate the smallest common multiple of f and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 22*p - 1 = -24*p, 4*c + 2*p = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 4*r - 2, 54 = -i + 4*i + 4*r. Suppose 8 = 2*d + 3*x, -2*x + 5*x - 28 = -4*d. Calculate the remainder when (-1350)\/20*(-8)\/d is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -44 - ((-42)\/(-9) + 259\/111).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17452449 = -r + 2312449. What is r rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence td when two letters picked without replacement from {c: 5, d: 5, e: 3, t: 5, r: 2}?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-450)\/(-99) - 84\/154?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 minus 65.2?\nAnswer: -52.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2 + 15*r + 4428.\nAnswer: -3*(r - 41)*(r + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3d3 (base 15) to base 5\nAnswer: -11443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 + 8*x**2 - 3*x - 8. Let z be d(4). Find the third derivative of -19*j**2 + z*j**6 - 26*j**6 - 26*j**6 wrt j.\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*o = -y - 14, 0 = o + 4. Let d = 73 + -66. Is y bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2867 + -2795. Calculate the smallest common multiple of n and 128.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 615*m + 180394 = 2932*m + 1473*m - 213766 for m.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 21*t**2. Let y(q) = -2758*q**2 + 5528*q**2 - 2768*q**2. Determine y(x(r)).\nAnswer: 882*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11406661 by -14.\nAnswer: -1629523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 6435, 12871, 19307, 25743, 32179, 38615?\n\"Answer: 6436*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92*b = 1420571 - 402223. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 5*h**2 - 8*h + 7. Let j(c) = -10*c**2 + 17*c - 15. Suppose 0 = -40*g + 64*g + 312. Determine g*t(z) - 6*j(z).\nAnswer: -5*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9634 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/10)\/((-6)\/(-15)). Let w = -6 + 9. Suppose 8 = -w*k + 5*k. Sort k, g, 5 in ascending order.\nAnswer: g, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d + 4. Let s(q) = -q + 2. Let r(u) = 2*b(u) - 5*s(u). Suppose -4*j + 4*n + 4 = 24, 4*j + n + 10 = 0. What is the units digit of r(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -12*m + 6. Let b be o(-7). Suppose 5*f = b - 40. What is the remainder when 12 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -t**5\/20 - 5*t**4\/12 - t**3 + 3*t**2\/2 - 63*t. Let p be z(-3). Solve p + 3 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Calculate the remainder when 157 is divided by 138.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 183775.4 years?\nAnswer: 18377.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2285*c - 1141*c - 1144*c + 305*c**2)*(4*c - 4*c - c).\nAnswer: -305*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 776833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 49643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/(48\/21 - (-4)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 362298 or 362299?\nAnswer: 362299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3038 is divided by 141?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 862, 859, 856, 853, 850?\n\"Answer: -3*l + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/35, 1\/209, -6, 5 in increasing order.\nAnswer: -6, 1\/209, 2\/35, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -8  (b) 53  (c) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3057 + 5629?\nAnswer: 25a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -5*d + 346. Let u(n) = n - 15. Give -38*u(i) - 2*y(i).\nAnswer: -28*i - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -v**3 - 223340*v**2 - 12465944357*v + 474028443398 = 0?\nAnswer: -111689, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.06 to 1 decimal place.\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 16*s + 7854. Give m(-97).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 6*b. Suppose 0 = 2*s + 2*s + 4*u + 20, 3*u = 5*s + 25. Let p = 6 + s. Let w be 6 - (-1)\/(p\/(-1)). What is r(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*d - 120 = -302. Solve z + d = 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -99, -198, -297, -396, -495?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/(-2400)*1150*((-3)\/5)\/3?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**5\/9 - 20*k**4\/9 + 5*k**3 + 130*k**2\/9 - 500*k\/9 + 136\/3.\nAnswer: (k - 17)*(k - 2)**3*(k + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -12, -22, -32, -42, -52?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -142306 + 3?\nAnswer: -142303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 134092 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2034?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1235*o + 157 + 1078 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1023, -1405, -1787, -2169, -2551?\nAnswer: -2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + 3)\/(-2)*-12. Let p(v) = 18*v**2. Let s be p(1). Let y be (-4)\/s + x\/(-135). Is y bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -4, 20, 62, 128, 224, 356, 530?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16596 - 16577. Let p(q) be the first derivative of 0*q**2 - o*q - 10 + 22\/3*q**3. What is the derivative of p(r) wrt r?\nAnswer: 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - 12*g - 24. Let h be d(14). Let v(w) = -12 + 2*w + 16 + h*w - w**2 + 12. Let s be v(8). Solve s = m - 2*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from izzi. What is prob of sequence iz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 6*m**2 - 93*m + 267. Give a(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 23 = 247. Let v = -223 + a. Suppose -2*l = 10, -3*t + l = -0*l + 1. Sort v, 3, t in ascending order.\nAnswer: t, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -9, 2, -1 in decreasing order.\nAnswer: 2, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -1\/58, -0.4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*d + 2. List the prime factors of 6\/(0 + d\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 110 = -5. Solve -50*w = -t*w - 15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*i**3 + i + 2*i**3 - 25*i**3 - 20*i**2 + 8*i**3 + 7*i**3 to u + h*i**3 + c*i + k*i**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 4\/9  (b) -43  (c) -4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 363*a**3\/7 - 62723364*a**2\/7 - 22808532*a\/7 - 2073504\/7 = 0?\nAnswer: -2\/11, 172792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29418 - -3.211.\nAnswer: -29414.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32378 = 1292*k + 76150 for k.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(156)\/(sqrt(768) + sqrt(768)*1) + 0 - (sqrt(130)\/(sqrt(40)\/sqrt(4)) + (sqrt(13) - -3*(2 + sqrt(13))**2)).\nAnswer: -51 - 223*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 77636 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 4*y - 3*v, -9*v = -5*y - 6*v - 9. Solve -q + 4*q + 5*l - 35 = 0, y = 4*q - 4*l - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7 * 12.2.\nAnswer: 85.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -9*o + 153. Suppose 18*u = u + o. Suppose -2*i + 7 = -3*j, u*j - 39 = -4*i + 4*j. What is the greatest common divisor of 88 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2 - 1)*2\/(-3). Find the third derivative of -5*h**x + 8*h**2 + 4*h**4 + 2*h**4 - 3*h**4 wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5531191 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -5, -1\/27, -6, 1, 7.\nAnswer: -6, -5, -1\/3, -1\/27, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 9518*o. Let l(r) = 4*r**2. What is b(l(t))?\nAnswer: 38072*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 48 - 6*h - 48 to the form g*h + y and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 638 = 10*h. Calculate the remainder when h is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.058*-285.\nAnswer: 16.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 3*w**3 - 128*w**2 + 667*w - 42. Calculate p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 278*i - 273*i - 15 = 0, 22 = 4*b + 3*i + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/91 and -93\/1508?\nAnswer: 10556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1001 is divided by 138?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 AM and 2:44 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 171 a factor of 12888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u**3 - 3*u - 75*u**2 + u**3 + 40*u**2 + 31*u**2 + 1. Let r = -4 - 0. What is m(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -47530 and -0.59.\nAnswer: -47530.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 13272, 13269, 13266?\n\"Answer: -3*g + 13275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -l**2\/2 + 4*l - 25. Let s(u) = -2*u + 7. Suppose 2*f + 15 = 3. Calculate f*s(k) + 11*j(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 58*k**2 + 29*k. Let j(d) = -2*d**2. Let c(i) = -2*j(i) + p(i). What is the second derivative of c(f) wrt f?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 20*h**2 + h. Suppose 26 = -28*c - 2. Calculate m(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of y**2\/2 + 25. Suppose 0*f + 20 = 4*f. Let h be -1*1*75\/f. Let v(b) = 3*b. Calculate h*z(j) + 6*v(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*n**2 + 0*n**2 + 2*n**2 + (-2 + 1 + 2)*(0*n + 0*n + 2*n**2) + 3 - n**2 - 3 - 4*n**2 + 2*n**2 + 3*n**2 - n + 20*n**2 - 125 + 125.\nAnswer: 18*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 62716729 by -1.\nAnswer: -62716729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.68 + 2.28. Let y = 75.2 + -74. Which is the second smallest value?  (a) -2\/7  (b) o  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, z: 1, n: 1, f: 1, g: 2, e: 1}. Give prob of sequence nvev.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4*f = -796, 4*l + 1627 = f - 0*f. Let a = -284 - l. List the prime factors of a.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -5*(sqrt(153) - sqrt(153)*-2) + -3)**2.\nAnswer: 180*sqrt(17) + 34429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 438438 and 79716?\nAnswer: 876876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of 2*r**5\/35 + 3*r**4 + 962*r**3\/21 + 120*r**2 + 800*r\/7 - 970. Let t(n) = 0. What is n?\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -4, -2\/199971, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**1)**(-32)\/(i**3\/i**(1\/16)) assuming i is positive.\nAnswer: i**(-559\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -452 + 518. Suppose 0 = 4*x, -53 = w - x - m. Calculate the remainder when 349 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2970202 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of -s**7\/147 - 2*s**6\/105 + 2*s**5\/35 + 4*s**4\/21 - s + 28. Find p such that l(p) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.522 rounded to one dp?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 5*r. Let k(t) = 2*t**3 - t**2 - 2*t + 1. Let a be k(-2). Let x be 18\/135*(2 - a\/(-6)). Is x less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1453628 divided by 363407?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -197, -220, -257, -308, -373, -452, -545?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 936, 943, 930, 891, 820, 711, 558, 355?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -152435121 (base 6) in base 13?\nAnswer: -884674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 395.2*0.094.\nAnswer: 37.1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 5*q = -582 + 187, -4*q = -3*v - 235. Let g be 18\/v + 4\/18. Let i be g\/(3\/(-6)*-2). Solve -o - o - 8 = i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -7*c - 11. Which is smaller: -2\/199 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -288*d - 13*s - s = -287*d + 138, -5*s = 5*d - 4*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -41\/5*l**2 + 4032\/5 + 48*l + 1\/5*l**3 = 0.\nAnswer: -7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 7. Solve c + m = -4, -o*c - 4*m = -2 + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*v + 4*g, -4*g - 4 + 3 = v. Suppose -5 = 3*x + 1. Sort x, 4, v in increasing order.\nAnswer: v, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13911400 and -0.14?\nAnswer: -1947596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-414800)\/105225 + ((-16)\/(-14))\/(2 + 72\/(-42))?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 - 12*k - 14. Let u = -24 - -41. What is the remainder when u is divided by r(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 + 22)\/(1 - -1). Let h = 19 - q. What is the third smallest value in 3, -2\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (3 + 2 - 13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -7*x**3 + 5*x**2 - 5*x - 5. Let v be -5 - (-9)\/(27\/12). Let c = -12 - v. Let u = -16 - c. Let g(m) = -m**3 + m**2 - m - 1. Determine u*g(t) + a(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 + -19. Calculate the remainder when 58 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1448\/14 + (-12)\/(-21). Suppose 4*i - 220 = 4*p, -5*i + p = -6*i + 59. Let o = i + -44. What is the greatest common factor of o and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1640744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*j**4 - 11604*j**3 - 129*j**2 - 13070459*j + 5 wrt j?\nAnswer: 132*j**2 - 69624*j - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of 2*p**2 - 28*p - 1. Suppose -3897*q + 1949*q = -1933*q - 105. Let w be j(q). Solve t + w = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -168*t**3 + 9*t**3 + 26*t**3.\nAnswer: -133*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34694, -69387, -104080, -138773, -173466?\nAnswer: -208159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by -74895\nAnswer: -2\/14979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1 - -0.4. Let m = 0 - o. Let d be 1 + 1\/2 + 1. What is the third biggest value in 2\/13, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 + -3. Let u = l + 12. Let h = 9 + -5. Solve -h*f = -u + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 26647 + -88?\nAnswer: 26559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 140*u - 1806. Let k be s(13). Solve -5 = -k*o + 79 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 3. Suppose 0 = -m*h - 0*h + 406. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2418)\/(-54) + (-2)\/(-9). Let y be (-2)\/(-10) - 4239\/n. Round y to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -310*o - 284*o + 585*o.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1242 - 1247. Let p = -74 + 73.8. Put p, u, 7, -1 in increasing order.\nAnswer: u, -1, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12 + 121\/(187\/(-17)). Solve -2*m = -6*m - 5*c - x, -9 = -4*m + 5*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2598 (base 13) to base 2.\nAnswer: -1010011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5620370 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12384\/1440 - (7 - (0 + -1))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -423165823 times 0.1?\nAnswer: -42316582.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4191*z**2 + 3 - 4195*z**2 - 3 + 12284*z**2 - 3895*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 - 11*i**2 - 21*i - 103. Let g be v(-10). Solve 0 = -g*q + 202 - 174 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**5*r*r*r\/(r\/r**(1\/7))*r*r**(1\/7)*r\/(r\/(r**(-6)*r*r)))**(2\/61) assuming r is positive.\nAnswer: r**(60\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02211 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 218, 919, 2086, 3719?\n\"Answer: 233*f**2 + 2*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.86  (b) -2  (c) -5990\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -1 - ((-6 - 7) + 9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(891)*-2 - sqrt(891)) + -5)**2 + sqrt(891) - (2 + sqrt(891)*-1) - (-2*(sqrt(891) + 2) + 1).\nAnswer: 306*sqrt(11) + 8045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, -6, -4\/15, 1 in decreasing order.\nAnswer: 1, -0.08, -4\/15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -236831 divided by -2?\nAnswer: 236831\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, o: 3, r: 13}. Give prob of sequence ooo.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7 - 7\/(35\/10) - -337864. Is 4\/26 - r\/(-91) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 * 4024.2\nAnswer: 68411.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of 9\/4*u**4 - 3*u + 4 - 9\/2*u**2 + u**3. Factor c(t).\nAnswer: 3*(t - 1)*(t + 1)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2214, 2213, 2212, 2211, 2210, 2209?\n\"Answer: -s + 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of u**4\/12 - u**3\/6 + 4*u**2. Let w be v(2). Let p be w + 24 + 3 + -2. What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -27*b - 13. Give q(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 17*u - 95 = 7*v, -5*v + u - 20 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.09282 and 0.13375.\nAnswer: -0.012414675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -207019.134 rounded to the nearest integer?\nAnswer: -207019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3157 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1337*l**4 - 189*l**2 wrt l.\nAnswer: -32088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -60*q + 50. Let g be l(16). What is the hundreds digit of ((-12)\/(-10))\/(-6 + (-5467)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of u**4\/6 + 158534*u**2. Let z(p) be the third derivative of 13*p**5\/60 + p**4\/24 - 2*p**2. What is i(z(q))?\nAnswer: 52*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 + -32 - (3 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by 304\nAnswer: 9\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133709232 is divided by 15863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of -2*g**3\/3 + 3*g**2\/2 - 3*g - 11. Let t(a) be the first derivative of r(a). Differentiate t(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -110 - 15?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -979*h. Let w(y) = -2*y**2. Determine f(w(v)).\nAnswer: 1958*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1536418, 1536419, 1536420, 1536421, 1536422, 1536423?\n\"Answer: x + 1536417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6233260 and 80069.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {x: 6, n: 1, i: 12}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2511187 to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 553 - 549. Which is the nearest to i?  (a) -0.5  (b) 0  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.08 + 2.92. Let t = 127.4 - 127. Let z = t - 0.8. What is the third biggest value in 0.5, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -31303?\nAnswer: -31233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - (-2 + -41) - (53 - -3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 AM and 8:31 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(32\/(-24)) - 1. Put o, 5, -5 in descending order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 6 - (5 + (1 - 3446))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 - 11*y + 13. Suppose -6*s = -5*s - 10. Let f be u(s). Which is smaller: 8\/5 or f?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -355*c = -363*c - 656. Which is bigger: -86 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - 12*z + 11. Let l be y(8). Let t = 56 + l. What is the remainder when t is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 4 - 1, -3*m = -2*s - 80. Let q be m\/4*(-12)\/18. Let c(p) be the second derivative of -p**3\/6 - 2*p**2 - 2*p. What is c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2408293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1, 3, 1.5, -0.1959, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 5, -2\/17, -224, -1\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -1\/6  (c) 3  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + 14\/(-6))*(-2826 + 24) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -5. Suppose -3*x = -4*b - 17, s*b - 26 - 4 = -4*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((216\/45)\/(-12))\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - 163*h + 2671. What is c(-177)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand u**2 - u**4 - u**2 + (107515*u - 3317*u**3 - 107515*u)*(-1 + u + 1).\nAnswer: -3318*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1334189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1339490 by 2.\nAnswer: 669745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -529 + 528.216. Let m = h - 0.216. What is the closest to 1\/64 in m, -2\/9, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226*a = 87*a - 1529 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1080, -108, 6, -1 in increasing order.\nAnswer: -1080, -108, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/76 and -3\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -308*c - 2310 = 154*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/(-18)*(-702)\/52.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 2:43 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k**3 + 169044*k - 169044*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -5*c - 50. Determine p(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 s, and 1 l when three letters picked without replacement from {z: 1, s: 1, l: 1, j: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -665*u + 109138. Determine h(164).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20748?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - 4*r + 14. Let c be u(-6). Suppose -16 = c*f - 6*f. Suppose 3*b - f*j - 36 = 295, -4*b + 442 = -5*j. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 - 14*r - 8. Let i be o(14). Let c be (i\/6)\/((-16)\/24). Let n(f) = -3*f - 6*f + 6*f - c*f. Let s(g) = g. Determine n(s(m)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6688740?\nAnswer: 2, 3, 5, 41, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -f**4\/3 + 2*f**3 - 13*f**2\/3 + 4*f - 4\/3 = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/80*-3)\/(10*(-102)\/425)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from rkrvrkvvvrkvrrvrvr.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -141, -210, -307, -444, -633, -886?\n\"Answer: -2*s**3 - 2*s**2 - 49*s - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -44.33379 to 0 dps.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 634, 1326, 2018, 2710, 3402?\nAnswer: 4094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*d**2 - 6791485*d - 61122960 = 0. Calculate d.\nAnswer: -1358288, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8523 + 17307 = -1845*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 169103177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6*(3\/(-1))\/9. Let b be ((-2)\/3)\/(2\/(-12)). Let f(o) = -9*o + 556. Let t be f(62). Put b, t, r, -10 in ascending order.\nAnswer: -10, t, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 283.004 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(81)\/sqrt(3)*4)\/(-4*sqrt(9)*2 + sqrt(9))*-4.\nAnswer: 80*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -44*v - 11. Let o(t) = 16*t + 4. Let l(p) = -5*k(p) - 14*o(p). Let f(s) = 3*s + 2 + 10*s - 3*s. Determine -5*f(z) - 12*l(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 651658*u**4 + 184*u - 359 wrt u?\nAnswer: 7819896*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.3 - -11. Let h = -2 + 3. Which is the nearest to h?  (a) 5  (b) m  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 5*i. Solve i = -0*g + 2*g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of l**7\/840 - l**6\/40 + 9*l**5\/40 - l**4\/6 - 7*l. Let b(z) be the third derivative of j(z). Factor b(n).\nAnswer: 3*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2350429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -406.\nAnswer: -121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10000)\/660 + 15)*(19 + -22)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 707*d + 1812*d - 1619*d + 3*d**2 + 0*d**2 - d**2 + 0*d**2 + (-2*d + 2 - 2)*(d - 2*d - d) - 3*d**2 - d**2 + 5*d**2.\nAnswer: 7*d**2 + 900*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 0 + (0 - 2 + 0)*(1 + 2 - 5))*(2*i - 11*i - 6*i).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*b**2*t**4 + 27*b**2*t + b**2 + 1131843*b*t**6 - 2*b*t**2 - 2*b*t - 6*t**2 - 157*t wrt t?\nAnswer: -336*b**2*t + 135821160*b*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 60\/14 - 8\/28. Let l be (5\/3 - 1)\/(4\/36). Let p(j) = j**3 - 7*j**2 + 7*j + 1. Let q be p(l). Solve -s*u - q = -2*u + z, u = -z - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**3 - 47*b - 24*b - 41*b - 1424*b**2 + 1423*b**2 to the form k*b + d + t*b**2 + n*b**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let x be -344 + 1 + 120\/(-40). Let i = -343 - x. Solve -9 - i = -4*f, -5*f = q - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 146424 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - -2. Let n = 923 - 422. Suppose -l*a + n = -0*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44202919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**3 + 65755*i**2 + 1106086448*i + 822211242176 = 0.\nAnswer: -32488, -779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -8436*h**2 + 49066*h. Let m(r) = 2*r**2. Give z(m(g)).\nAnswer: -33744*g**4 + 98132*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2\/7 - 30*i\/7 - 72\/7.\nAnswer: -2*(i + 3)*(i + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jkjjdjkkjjkkjkkjjwwv. What is prob of sequence kwkj?\nAnswer: 21\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -14*p**5 - 286*p**4 - 1008*p**3 - 224*p**2 + 512*p = 0. Calculate p.\nAnswer: -16, -4, -1, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130 + 1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 76512556 to the power of 1\/2, to the nearest integer?\nAnswer: 8747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2489*j + 4. Let i be o(7). Let d be -2 - (2 + 69678\/i). Let p = -1654789\/139352 - d. What is the common denominator of 13\/9 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n**19\/n)))\/(n*n\/(n**(-21)*n)))\/(((n*n\/(n**(4\/17)\/n*n))\/n)\/(n\/((n\/(n**(-32)\/n))\/n))) assuming n is positive.\nAnswer: n**(-625\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -7440723200 to the nearest 1000000.\nAnswer: -7441000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2878515115?\nAnswer: 5, 7, 83, 229, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*y**2 + 23*y**2 + 23*y**2 + 27*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from ffrrfrrrfr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 71.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 23232313130 (base 4) to base 8\nAnswer: 13566734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*q*z + 5*q + 120*z**4 + z - 19 wrt z?\nAnswer: -2*q + 480*z**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence st when two letters picked without replacement from {t: 3, m: 2, s: 2, l: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-8) - 573\/(-40). Let q = -76\/5 + g. Put q, -1\/4, 0.3 in decreasing order.\nAnswer: 0.3, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/12))**(-2)\/(n**(-6\/5)\/n*n*n*n**(-10)) assuming n is positive.\nAnswer: n**(301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45251 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**2 + 28*r + 2 - 2*r + 3*r - 2*r to the form m*r**2 + q + j*r and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/90  (b) 130  (c) 0  (d) -114\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (4 - 3) - (14 + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.48 + 4. Let q = m - 0.02. Which is the closest to 0?  (a) q  (b) 5  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1351.\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 8 = -2. Let d(h) = 4*h**m - 3*h**2 - 2*h**2. Let o(y) = -3*y**2 + 2*y**2 + 2*y**2. Determine d(o(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15.6 + -16. Let y(v) = 7*v + 71. Let q be y(-10). Which is the closest to -1?  (a) -2\/9  (b) j  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - 7*o + 8. Calculate t(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18480.48 - -18479.8339739. Let t = 0.646 + d. What is t rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(114)*1)\/sqrt(6).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ijjjjjjjijijjj. Give prob of sequence ji.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hlh when three letters picked without replacement from {h: 2, l: 2, y: 1, j: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**2 + 3092*t + 425304.\nAnswer: 4*(t + 179)*(t + 594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 396010?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.242 - -0.042. Let l = 4.200328 + f. What is l rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 1 + (1 - 10 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 15*q - 26. Let t(p) = 7*p - 12. Let u(s) = 4*b(s) - 9*t(s). Let f(j) = 1. Calculate -3*f(v) + u(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/116 and -67\/28.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2956, -3000, -3044, -3088, -3132, -3176?\n\"Answer: -44*c - 2912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34152 is divided by 696?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.500142t?\nAnswer: 500.142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29*l**2 - 189*l**3 + 28*l**2 + 7 - 83*l**2 + 26*l**2 - 47*l wrt l?\nAnswer: -1134*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 4*k + 6. Let f be p(-3). Let t = 6 - f. What is the remainder when 43 is divided by (33\/(-9))\/((-4)\/t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -183, -177, -159, -123, -63, 27, 153, 321?\n\"Answer: k**3 - k - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 50.0137 meters?\nAnswer: 50013.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1546*d + 768*d + 777*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -65174, -65171, -65152, -65105, -65018, -64879, -64676?\n\"Answer: 2*s**3 - 4*s**2 + s - 65173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 202583, -0.04, 56, -5, -2 in descending order.\nAnswer: 202583, 56, -0.04, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10 + (-10 - -9) + (-3 - 0). Let w(v) = -8*v - 6. Suppose -2*m = 6, -3*a + 17*m - 33 = 15*m. Let j(h) = -4*h - 3. Calculate a*j(g) + z*w(g).\nAnswer: 4*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.023 + 20.977. Let n = p + -21.5. Let v = -7 + 11. Put n, v, 0.4 in descending order.\nAnswer: v, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 - 5 + 36)*(5 - 4 - 3)*((0 + 0 - o)*(-1 + 5 - 2) + 5 - 5 - 3*o - 32*o + 14 + 30*o + 1) to the form j + c*o and give c.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -253*a + 223. Let x(w) = -11. Let r(v) = p(v) + 6*x(v). Find the first derivative of r(n) wrt n.\nAnswer: -253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.07 + 1.07. Let n = 0.7 - m. What is the second smallest value in 0.1, n, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 17 = 2*s, -5*o + s = -2 - 28. Suppose -308 = o*k - 35. Sort -4, k, -3 in ascending order.\nAnswer: k, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 2 + 3)*(-2 + 4 + 1)*(-3 - 1 + 3) + 3 - 3 + 2)*(-16*j - 16*j + 19*j).\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*w**2 + 8 - 3*w**2 - 6*w**2 - 26*w**3 + 34*w**3 to p*w**3 + b*w + f*w**2 + a and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {i: 4, w: 2, n: 1, k: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -11\/2  (b) -2  (c) -0.1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*d + 8*d + 90*d - 18*d.\nAnswer: 125*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-4)*-4 - -4. Suppose t = -t. Suppose -3*i = t, 0 = -l - i + 2*i + a. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -247 - -275. What is the highest common divisor of n and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 17000, 0.4, -4 in descending order.\nAnswer: 17000, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8498, 0.05, -1.029 in descending order.\nAnswer: 8498, 0.05, -1.029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -9993\nAnswer: 1\/9993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -3\/124234?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) -402.5  (b) 8  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-212)\/53 + 1960 + 2 + -1 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11254, 11277, 11356, 11521, 11802, 12229?\n\"Answer: 5*s**3 - 2*s**2 - 6*s + 11257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 13*t - 71, -5*i + 61*t - 10 = 62*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 4*w**2 + 3*w + 141. Let i(d) = -5*d**2 - 2*d - 139. Let n(q) = -3*f(q) - 4*i(q). Does 7 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i\/i**(-1))*i)\/i)**(-18))**(6\/11)*(i\/((i**(-3)\/i)\/i*i)*i*i*i\/(i\/(i*i**3)))**7 assuming i is positive.\nAnswer: i**(955\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2927655 is divided by 5879.\nAnswer: 5792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 43839, 41648, 39457, 37266, 35075?\n\"Answer: -2191*t + 46030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6369*d**3 - 289 + 289 - 9142*d**3.\nAnswer: -15511*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08 less than -3.55231?\nAnswer: -3.47231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*o**4 + 197*o**2 - 3*o - 197*o**2 wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-33)\/24 + 2127305\/1523800\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 9 = -n + 3*n, -2*n + j = 5. Let x = -207 - -206. Is 12\/n*2*x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 9 = 3. Let d(z) be the first derivative of -1 + z**s + z + 4 - 14 - 7*z. What is d(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(1100) + -1 + sqrt(1100))**2 + -2.\nAnswer: -40*sqrt(11) + 4398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 140752416 a multiple of 2408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 65 - 2*(-2)\/4. Let u be 24\/44 - (-176)\/121. What are the prime factors of 583\/n + u\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjljljjjlj?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 + 7*v**2 + v - 5. Let r be l(7). What is the tens digit of -1*(-76)\/(r + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2\/4 + 616953*d\/4 + 771210.\nAnswer: -3*(d - 205656)*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7917935 by 1583587.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38561592 is divided by 385?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000040835 to 7 dps.\nAnswer: 0.0000408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/16 and 0 - 668\/160 - -4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -46047 - -65687. What are the prime factors of u?\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 2*j + 121 = -j, 4*k = 4*j + 116. Suppose 2*i = -2*i. Let m = i - 0. Solve 4*v + v - k = m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/11613 and -129\/14047306.\nAnswer: 294993426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 273*s**4 - 431 + 199 - 174 with respect to s.\nAnswer: 1092*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 3 = -a, 4*a + 0 = -4. Is (m\/(-3))\/((-1)\/(-57)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.266 * 0.2\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ciycycyiyt. Give prob of picking 2 i and 1 y.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s**3 - 14*s**2 - 22*s - 5. Let d(a) = 15*a**2 - 45*a - 5. Let t be d(3). Let n be l(t). Solve 21 = 2*v + n*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2\/7 + 39\/14. Sort -0.4, 5, 0.3, c in decreasing order.\nAnswer: 5, c, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43 = -41*i + g + g, -3*i - 4 = 7*i - 2*g + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -486062\/5 + 96890. Let n = -312 - d. Calculate the common denominator of n and 145\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -157*f**3 + 250*f**3 + 187*f**3 + 162*f**3 + 60*f**3 + (0*f + 0*f + 3*f**3)*(1 + 0 - 3) to v*f**3 + k*f + t*f**2 + p and give v.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -182 in 0.5, -0.5, 1, 8086, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 969961468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 - 5)*(2 + 1 - 2)*(-26*o - 148*o - 52*o).\nAnswer: 678*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 234 or -571?\nAnswer: -571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((v**(2\/9)*v)\/v)\/v)**(-26))**3 assuming v is positive.\nAnswer: v**(182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 1063.708605 to 0 dps.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z - 4. What is p(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 22, -3, 5 in decreasing order.\nAnswer: 22, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -4.6. Let r(t) = t**2 + 13*t - 13. Let y be r(-14). Let n be y\/2*36\/9. Put -0.1, b, n in decreasing order.\nAnswer: n, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 204297968?\nAnswer: 2, 7, 269, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 1 - 1)*(3 + 3 + 2)*(-2 - g + 2) as k + a*g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 100 - (3 + -3)*4\/(-20). Solve 85 - c = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = f + 29, -2*h + 5 = -19*f + 22*f. Solve 3*m - c - 20 = -32, 4*c - 24 = h*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1413, 1058, 18.\nAnswer: 18, 1058, 1413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 1\/5*s**3 - 4*s**2 + 44\/5*s.\nAnswer: -s*(s - 2)*(s + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15156 + 15283. Solve 17*s = 8 - t for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*p + 46*p + 21824000 = 0. Round p to the nearest ten thousand.\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 19. Suppose -4*g + b = -g. Suppose g*l = -139 + 591. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -768, -6200, -20952, -49686, -97064, -167748, -266400?\n\"Answer: -777*v**3 + 2*v**2 + v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 - 0.2. Let m = -1 - -2. Let s = m - 1.2. What is the closest to -1 in -2, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/((v*v*v*(v*v\/(v\/v**1))\/v)\/v)*v))**(-17))**(10\/7)\/(((v**(-4)*v*v)\/v*v\/(v\/v**(1\/3)))\/((v**(3\/7)\/v)\/v**(-4\/5))) assuming v is positive.\nAnswer: v**(-4796\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/53  (b) -3  (c) 2  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 2 + 8. Calculate the common denominator of -2 - ((-210)\/(-27) - l) and -113\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 131, 174, 291, 518, 891?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 435 minutes after 2:07 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 44891 - 16141. Let q(j) = 2*j + 64582*j**2 + 9 - 3 - 4*j + n*j**2. Let u be q(-3). Round u to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -481*t = -2084*t - 14033 - 10012 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17468 by -1.\nAnswer: 17468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/9)\/(64\/(-48))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/2200 and -131\/1320.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6557 (base 10) to base 15.\nAnswer: 1e22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/400*(44 - 59).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (9\/18*((-12)\/(-3))\/1)\/(-13)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 55211963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 636*a**2 - 99*a + 2183. Let c(k) = -1908*k**2 + 264*k - 6548. Let q(s) = 3*c(s) + 8*l(s). What is the first derivative of q(r) wrt r?\nAnswer: -1272*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 441289 is divided by 2918.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0  (b) 92  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of -5*o**4\/12 + o**3\/3 + 2*o. Suppose i(v) = 0. Calculate v.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6954*g**4 + 3*g**3 + 5*g**2 - 3620091.\nAnswer: 27816*g**3 + 9*g**2 + 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*k - 4 + 29 - k**2 - 18 in the form a + y*k + u*k**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 243 a factor of 196344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -80536156788\/25 + 16350772701628897\/5075600. Let u = -4\/12689 + a. Find the common denominator of u and -67\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + 1 - (-1005)\/737*2618\/(-196).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5485*a - 4859 wrt a.\nAnswer: 5485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 2*q. Suppose -3*u = -b, q = 3*b + 2*b - 2*u. Suppose 3*v - g + b*g = 18, -5*v = -g - 32. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2589025425?\nAnswer: 3, 5, 7, 4931477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1026.88 + -1026.75. Let h = 426 + -3830\/9. Which is the smallest value?  (a) 1\/5  (b) u  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvtvvdvvtvdvvtvddvvv. Give prob of sequence dvd.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:13 AM and 6:00 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that d**3\/3 - 111707*d**2\/3 - 670371*d + 2346225 = 0.\nAnswer: -21, 3, 111725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 4 - 4)*(-2 - 3 + 6) - u + 4*u - 2*u + 52 + 53 - 105 + 25415*u + 7097*u + 16431*u.\nAnswer: 48942*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 - 5*q. Let n = 5 - 0. Let g be h(n). Solve g = -a - 5 + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-8)*u*u**(-1\/3))**(-1\/71))**(-35) assuming u is positive.\nAnswer: u**(-770\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -57*u**5 - 759*u**4 - 1032*u**3 + 18444*u**2 + 60624*u + 17280 = 0. Calculate u.\nAnswer: -8, -6, -4, -6\/19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**2 + 201472*j - 175390976.\nAnswer: 4*(j - 856)*(j + 51224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 93871 or 93872?\nAnswer: 93872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -1. Let d = 0.002 + 0.198. Suppose 191 = -9*y + 218. What is the nearest to y in 1, w, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 2:59 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 + 6 - 41) + 55 - -6.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - 12*q + 52. Let f = 111 - 100. What is the remainder when ((-3)\/6)\/(1\/(-322)) is divided by n(f)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -779 + 50*i + 670*i**4 - 83*i + 33*i with respect to i.\nAnswer: 2680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -8.76214 and -31305.\nAnswer: -31313.76214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24.8 - -16.8. Which is the nearest to 0?  (a) -3\/2  (b) g  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 3  (b) -4\/7  (c) 1\/7  (d) -1  (e) 69  (f) -8993\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, x: 3, z: 1, f: 2}. Give prob of picking 1 l, 2 f, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 22482363 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1\/6, -2\/5, -125\/6 in decreasing order.\nAnswer: 1\/6, -2\/5, -3, -125\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**4 - 3*x**4 - x**5 - x**5 + 4*x**5 + 0*x**5 + 987*x**5 - 120*x**5 + 929*x**5 + (5 - 1 - 3)*(x**5 + 0*x**5 + x**5).\nAnswer: 1800*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 48 - 42. Let j(t) = t**3 - 17*t**2 - 15*t - 19. Does 7 divide j(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from zlwwwzewuu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 116 - 121. Let u = -140 - c. What is the remainder when u is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 21*j - 48. Let m(b) = -b**2 - 42*b + 96. Let f(t) = -7*d(t) - 4*m(t). What is the derivative of f(v) wrt v?\nAnswer: 8*v + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 137*n - 175 = 0, -3*x - 15*n = -19*n + 5 - 58 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 9 - -3 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-18)\/15)\/(6\/(-20)). Suppose 4*a - h*o - 1 = 11, -6 = 2*o. Suppose -5*q + 13 = 2*l, 0 = -a*q + 2*q + 4*l - 18. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/4*(-4)\/3. Let v be -2 - (-2 - -1 - 1). Let f = 2.2 + 0.8. What is the closest to v in r, -4\/3, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5 + 1*(-1 + sqrt(112) + sqrt(112)))**2.\nAnswer: -484 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000008281 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 - -46. Let x = 15 - d. Let c be (-8)\/20*(-6)\/(-4). Sort c, x, 1\/4 in descending order.\nAnswer: x, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1041608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212.7239 grams to micrograms.\nAnswer: 212723900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 2*j - 581 + 1903, 5*j = 2*i - 885. Is 44 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-66 + 35 + 13)*(-6 - 4*p + 6) to the form a*p + u and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38613 and 9150?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 4)*(-6 - 6 + 10)*(-10 + 23 + 0)*(0 + 6 - 4)*(2 - 2 + 2)*(-2*n + 3 - 3).\nAnswer: 624*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 7:18 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3503*z**3 + 2879*z**3 - 6376*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 17*t**3 + 5*t - 5. Let y be (-16)\/(-40) - (-132)\/(-30). Let j(l) = 9*l**3 + 3*l - 3. What is y*r(n) + 7*j(n)?\nAnswer: -5*n**3 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 PM and 11:53 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (k + 0*k - 2*k)*((5*k + 3*k - 5*k)*(1 - 2 - 1) - 5*k - 2 + 2*k + 4*k) in the form d*k**2 + o + y*k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 PM and 1:30 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34059.\nAnswer: 3, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -3*c + 9*c - 5*c + 5 + 4*c - c**2. Suppose -y + o - 14 = 0, 2*y + 0*y + o + 40 = 0. Let s be (-8)\/16 - y\/4. What is b(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -43 bigger than 0.101222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/46 and 93\/62380?\nAnswer: 1434740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(187)*3 - sqrt(187))\/((sqrt(44)\/sqrt(2))\/sqrt(2)) + 1 + -2.\nAnswer: -4*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 87 - 90. Let r(j) = -j - 3. Calculate r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 7942*y + 9. Let u(q) = -15*q. What is u(v(b))?\nAnswer: -119130*b - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 2*m - t = 16, 0 = -5*t - 5. Suppose -m*s - 140 - 45 = -4*p, 0 = -4*p + 2*s + 170. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 3*q - 56. Let a be c(14). Let h be 1\/2*0\/a. Solve -2*w - 6 = -h*w - 4*i, 0 = -5*i + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1210)\/33)\/22*(-5)\/5.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13119866 is divided by 4373258?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -0.5  (b) 100.96  (c) -1\/4  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45 - 346 + 145 + 156 + 4*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000277514918 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o - 2*o = -0*o + 20*w + 1126, -192 - 103 = 5*o + 5*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6\/5)\/b)\/(b*((b**(-3\/17)\/b)\/b*b)\/b*b)*b**9\/(b**(11\/5)*b) assuming b is positive.\nAnswer: b**(321\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 303754 is divided by 21691?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -157935, -315680, -473425?\n\"Answer: -157745*k - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 99 and 168355891.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -34*i - 1. Calculate y(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10905 + 0.4?\nAnswer: 10905.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, -12, 4, 3, 5 in descending order.\nAnswer: 5, 4, 3, -12, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 2.1. Let y = -278855\/9 - -93602\/3. Let s = y - 217. Which is the second biggest value?  (a) s  (b) -4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/2)\/(-10)*98\/(-7).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -826*y = -839*y + 143. Solve 0 = 14*t - y*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31 - 5. Let g = 31 + o. Which is the third smallest value?  (a) g  (b) -0.3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -68*p + 63*p - 25, -4*p - 5 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5158 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = q - 6. Let a(u) = 18*u - 30399*u**3 - 3*u**2 - 3 - 14*u + 7 + 4*u**q. Let b be a(-1). Round b to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-82 - -13)\/(6\/16). Let b = -119 - w. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 2138 - (-112)\/(-32)*(-20)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggrrgr. Give prob of picking 1 r and 1 g.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58 - 35*r - 15*r - 12*r - 59 - 8*r.\nAnswer: -70*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4770646 (base 9) in base 12?\nAnswer: -a48336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -21*s**2. Let o(r) be the second derivative of r**3\/3 - 9*r. Calculate i(o(p)).\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t - 5. Let k(w) = 3*w**2 + 2*w - 1. Let r be k(1). Let b be n(r). Suppose 2*v + 2 = -3*z, z - v + 6 = -b*v. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -i**7\/21420 - i**6\/6120 - 4*i**4\/3 - 20*i. Let y(q) be the third derivative of k(q). Factor y(j).\nAnswer: -2*j*(j + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -45, 4, 2, 302, -10 in ascending order.\nAnswer: -45, -10, 2, 4, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of n**4\/22 + 40*n**3\/3 + 437*n**2\/11 + 436*n\/11 + 3020. Suppose m(h) = 0. Calculate h.\nAnswer: -218, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -278*u**2 + 279*u**2 - u - 2 + 7 + 6*u. Let k be i(-4). What is the nearest to -2\/7 in 11, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = -332 + 302. Solve 25 = -q*z, c - 2*c = z + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 19*p**2 - 2*p - 1. Calculate i(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/17  (b) 2\/11  (c) 1  (d) -3\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 - -26. Suppose 0 = 3*l - 2*l - n. Solve 2*d = -i - 6, i + 10 = -5*d - l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37\/3*g**2 - 30*g + g**4 + 17*g**3 - 1\/3*g**5 + 0 = 0. What is g?\nAnswer: -5, -2, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1827.155 millennia in centuries?\nAnswer: 18271.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 9:47 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (183\/18 - 11)\/(-5). Suppose 2*g = -2*g + 16. Which is the nearest to g?  (a) -2\/7  (b) t  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 4*z = -20, 0 = z - 19 + 24 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 31?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - 2*f - 1. Let g be j(2). Let d be 3\/(-6) + 69\/10. Let u = d + -261\/40. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + 33. Let x = -52559\/10 + 5263. Find the common denominator of (-8)\/20 + 64\/o and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, r: 4, y: 2}. What is prob of picking 1 y and 1 r?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 276, 272, 266, 258?\n\"Answer: -k**2 - k + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9766105 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 20094828, 40189653, 60284478, 80379303?\n\"Answer: 20094825*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -110*v**2 - 412.\nAnswer: -220*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4669 - -4?\nAnswer: -4665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -24949 divided by 6\nAnswer: -24949\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 5508521*0.32\nAnswer: 1762726.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 314.4623ug?\nAnswer: 314462.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 468 by -6.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57, -108, -179, -270, -381?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*n - 4*n + 18*n)*(-5*n + 2*n - 2*n + (-4 - 3 + 5)*(5*n - 5*n + n)).\nAnswer: -147*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2002855 (base 10) to base 4\nAnswer: -13220332213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 12:02 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2, -2\/3, 4, 2316?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17697459671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2601 and 24480?\nAnswer: 416160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 = 479\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56.4035l to millilitres.\nAnswer: 56403.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 14, e: 1, a: 1}. Give prob of picking 1 e and 1 j.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 + 7*d**2 + 7*d + 5. Let x be v(8). Is 14 a factor of 70*(18\/(-15))\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -146*l - 3. Let h be u(-3). Let z = h + -1304\/3. Which is the second smallest value?  (a) z  (b) -2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6195280 and 960?\nAnswer: 74343360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 4 - 2. Let f be 6*i*(-14)\/(-21). Let o = f + -4. Solve o = z - 3*z + 4*w - 10, w - 16 = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (44\/(-14) + 3)\/(-1). Let m be (2 - 1 - -1)*(-15)\/10. Let s be ((-6)\/(-8))\/(5\/(-4)). Which is the closest to -1?  (a) m  (b) s  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7714573 microseconds to milliseconds.\nAnswer: 0.0007714573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + ed?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 - 3*a**2 - a + 3. Let n(c) = c**3 + 3*c**2 + c - 4. Let v be n(-2). Let r be l(v). Which is smaller: -6\/19 or r?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 4*l - 2. Let o be ((-1)\/l)\/(1\/24). Let s(u) = o*u - 2*u**2 - 12*u. Let d(c) = -3*c. What is d(s(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1773538*r**3 - 251*r**2 + 174*r - 1 wrt r.\nAnswer: 10641228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/8*-8)\/(4\/8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 40*y + 2797*y**2 - 2797*y**2 - 38*y - 591*y**3 to the form f*y**2 + r*y + l*y**3 + j and give l.\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 + 7*u**2 + u - 9. Calculate the remainder when v(-6) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, 1926539, -3, -0.2 in decreasing order.\nAnswer: 1926539, 2\/17, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aihhihaiiahaavahaav. Give prob of sequence iv.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 570 + -392. Suppose -b = -5*o - 9 - 17, -5*b + h = -o. Suppose 2*n + 34 = 4*f, 4*f + 3*n + 7 = b. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -56  (b) -21  (c) 2\/9  (d) -1  (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45855\/31 + -1479. Which is greater: w or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 4:42 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {p: 1, o: 3, d: 1, u: 3, t: 5, n: 1}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -7761095 to the nearest 1000.\nAnswer: -7761000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3528.403 milligrams in micrograms?\nAnswer: 3528403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 89757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 1:24 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 43635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1719*o - 450*o - 4569*o)*(2 - 3 + 2)*(0 + 0 - 1).\nAnswer: 3300*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -3 - ((-36)\/8 + 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19754021.4 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.5088274ml?\nAnswer: 0.0005088274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.1565 - -0.627. Let y = -3696 - -3695.55. Let z = l + y. Round z to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 179413355+-585\nAnswer: 179412770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2 + 21*b + 270.\nAnswer: -(b - 30)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 5*a - 32 = 0. Find the first derivative of a + k**4 - 6 - 5 wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 + 37*d + 46. Determine b(38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4 - 202*u**3 + 1110*u**2 + 2834*u + 1520.\nAnswer: 2*(u - 95)*(u - 8)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 3*z)*(-2*z - z + z) + 4*z**2 - 3*z**2 - 2*z**2)*(1 - 2 - 3).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 221188 and 12?\nAnswer: 663564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 - 15*x + 33. Let v be o(-16). Let g be 6494\/v*(-3)\/6. Round g to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*h + 66*h + 1965 = -125*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)*-2*2 - sqrt(65) - (sqrt(65) - sqrt(65)*-3*-1))\/(2*sqrt(200)\/sqrt(10)*-5).\nAnswer: 3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {u: 1, d: 2, b: 2, h: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 smaller than 1.312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y - 3*i - 9, -4*i = -5*y + 26 - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*v - 104*v + 1261 + 1973 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/680 and 99\/1994320.\nAnswer: 33903440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-461*a - 6371*a - 962*a - 4111*a)*(2 - 1 + 0).\nAnswer: -11905*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009232 rounded to 5 decimal places?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1301 (base 4) to base 8\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/((20\/72)\/5). Let t be (-2)\/5*x\/(-18). Sort t, 1\/10, -2\/11.\nAnswer: t, -2\/11, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 - 114*c**2 - 117*c + 38399. What is i(112)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5353773072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 3 - (6 - (1 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42591565*d**3 + 42279446*d**2 wrt d?\nAnswer: -255549390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 568273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (((-1012)\/690)\/22)\/(((-2)\/66)\/(-1 + -2))\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 220222011 - -3?\nAnswer: 220222014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -13*d - 43. Let j be u(-10). Let k = 87 + j. List the prime factors of k.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 + 33022.\nAnswer: 33022.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1179173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 482726487.\nAnswer: 3, 137, 157, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3044 * 1.\nAnswer: -3044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, n: 3, z: 1, v: 2, r: 2, u: 7}. Give prob of sequence zr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2605 + 673 = 69*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -174 + 450 = 4*k. Calculate the remainder when k is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -18 + 2*n - n + 31. Suppose 3*a - 37 = 3*m - 1, -2*a + 34 = -3*m. What is the units digit of t(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 945*c - 6806 = 523*c - 884*c - 34232 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 12 + 36. Let j(y) = 2*y + g - 3*y + 2*y. Let x be j(-7). Solve -2*l + 3*l + x = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7340*t + 2449*t + 2448*t + 2442*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - p + (1 + p - 1)*(-4 + 2 + 0) + 1 - 1 - p + (-12 - 7 + 4)*(-1 + 1 - 3*p).\nAnswer: 41*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001457 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -6172.871 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + -9 + 60 + -48. Let q be 2\/7 - 24\/(-14). Let v be 4\/1*1 + 0. Solve -v*z + 41 = -5*j, 0 = -q*z + 2 + x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a - 14. Give b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 15*j**3 - 1179*j**2 + 1284*j + 48. Let q(v) = 3*v**3 - 236*v**2 + 258*v + 10. Let a(i) = -24*q(i) + 5*r(i). Factor a(b).\nAnswer: 3*b*(b - 76)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -18178, 0, -0.1 in descending order.\nAnswer: 0, -0.1, -20, -18178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 790.18 rounded to the nearest 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8916954 and 5823?\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 101 = 14*n - 123 + 42 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a**3 + 14*a**3 + 11*a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38 - (15 - 5) - 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 65, 135, 205, 275, 345?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 6*f**2 - 6*f. Let r(c) = -c**3 + 4*c**2 - 4*c. Determine 5*i(x) - 7*r(x).\nAnswer: 2*x**3 + 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27 and 12161664?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44 + 12. Let r = -31.9987 - o. What is r rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16)\/384*6*((-36)\/69)\/(-4). What is the nearest to k in 2\/9, 0.3, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 460*v - 5*m = 231*v + 226*v + 6*m - 180, 5*v - m + 300 = 0 for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 2*v = 6*v - 233, 0 = 5*v + 5. Which is smaller: o or 81?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60) + (sqrt(660)\/(sqrt(55)\/sqrt(5)) - sqrt(60)))\/(sqrt(22)\/(sqrt(33)\/sqrt(3))))\/(sqrt(70)\/sqrt(847) + sqrt(10) + (sqrt(1210)*4 - sqrt(10))).\nAnswer: 11*sqrt(3)\/485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 1, 4\/15 in decreasing order.\nAnswer: 1, 4\/15, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -17, 6737, -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 1 = -4*n, 2*y - 3 - 4 = -3*n. Let d = 657.5 + -661.5. Which is the third biggest value?  (a) y  (b) d  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 5*g - g = -20, 3*l + 16 = -2*g. List the prime factors of l\/((30\/(-8))\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1265982029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5832 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3 - 9 + 5*k - 1 - k wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2, 17, 34, 53, 74?\n\"Answer: a**2 + 12*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 3*d - 30 = 0, -4*j + 2 = -d - 33. Suppose -5*k = 4*h - j*h + 280, 46 = h + 4*k. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 1 + 17003*f**2 - 16996*f**2.\nAnswer: 7*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5478, 5477, 5476, 5475?\nAnswer: 5474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -0*i + i. Suppose 3*t - 102 = t + m, 3*m = -i*t + 86. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00540496447 to 6 dps.\nAnswer: -0.005405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -61?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 20*m**2 + 81*m + 237. Give r(-3).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 - 1 + 1)*(-11 + 19 + 2076*u - 6 + 2387*u).\nAnswer: 8926*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/2 + 20\/5. Suppose x*w = -k - k + 130, w = -4*k + 43. Let f = -27 + w. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + 7*x**2 + 6*x - 5. Determine o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zjzzttzjtzt. Give prob of sequence zj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 182811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34.8 + -34.9. Let m = 35\/344 - -1\/43. What is the third biggest value in 5, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((17 + -7)*-1)\/(2\/(-1)). Suppose -4*j + 4*j - q*j = 0. Suppose -2*g - 13*g + 135 = j. What is the lowest common multiple of g and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.424115nm to millimeters.\nAnswer: 0.000005424115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 0. Let f be (q\/(-2))\/(1\/(-12)). What is the greatest common divisor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22351009 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the second derivative of k**3\/3 - 9*k + 1. Let v(l) be the first derivative of -2*l**3 - 23. Determine v(f(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -11*y**3 - 2*y**2 + 20*y + 7. Let j(a) = 12*a**3 + 2*a**2 - 22*a - 8. Determine -7*j(n) - 8*s(n).\nAnswer: 4*n**3 + 2*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fppe when four letters picked without replacement from {p: 2, e: 1, f: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/165 and -67\/715?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.049+-42098696\nAnswer: -42098696.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -201 + 204. Let t = -9 + 9.1. What is the closest to t in c, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (1*sqrt(1300) - sqrt(1300)))**2 + -4 + 1*sqrt(1300))*-4.\nAnswer: -40*sqrt(13) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-8))**(-10)*((d**10\/d)\/d)\/(d**(-2\/59)\/d) assuming d is positive.\nAnswer: d**(5253\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 12*u + 10 = 0. Let s be (u\/(6\/(-36)))\/((-6)\/4). Let 2*r**2 - s*r + 4 + 0 - 4 = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -167*t - 410. What is v(-2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 112 and 95116?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 23 - 97 = -4*m, 105 = 3*m - 2*x. Let p(w) = -22*w + 4. Let t(n) = -n. Let u(f) = -p(f) - 3*t(f). What is the remainder when u(4) is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -5*i**4\/24 - i**2. Suppose -12*d = -6*d. Let n(m) = -3*m + 4*m + 0*m + d*m. Determine n(a(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of -f**7\/280 + f**6\/30 - f**5\/10 - 7*f**3\/6 - 13*f**2. Let g(h) be the first derivative of d(h). Factor g(v).\nAnswer: -3*v*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, 1, -0.2, -0.4, -1\/9 in descending order.\nAnswer: 1, 3\/5, -1\/9, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*o - 853*o + 0 + 368*o + 0 - 658*o.\nAnswer: -1196*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -760613 - -7?\nAnswer: -760605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 4*k - 3*p, -5*p + 3 = 2*k - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 831 + -467. Calculate the greatest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 3*b**2 + b - 1. Let k be u(3). Suppose 3*d - d = 20. What is the remainder when d is divided by 4\/k*2*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of -c**4\/4 + 4*c**3 - 11*c**2\/2 + 2*c - 6. Let v be l(11). Sort 30, v, -3 in decreasing order.\nAnswer: 30, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -1\/6. Let r(v) be the second derivative of 0*v**2 - 4*v - m*v**4 + 0 + 0*v**3. Let h(t) = -7*t. Calculate r(h(i)).\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -223063, -838, 1 in increasing order.\nAnswer: -223063, -838, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d**2*p + 27*d**2 - 212*d*p**2 + d + p**2 - 898502 with respect to d.\nAnswer: 4*d*p + 54*d - 212*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*x + 4, 2*d - 2 = 3*x + 3. Let b = d - 5. Let i be (3 - 0)\/((-3)\/(-4)). Sort i, b, 0.\nAnswer: b, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*z**2 - 4*z**2 + z**2 + (-z + 3 - 3)*(2*z - 2 + 2) + 3*z**2 - 5*z**2 + z**2 - 4*z**2 + 27 - 27 in the form x*z**2 + d + t*z and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2625, 11366, 25933, 46326, 72545, 104590, 142461?\nAnswer: 186158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -294 + 267 + (-2)\/(-2)*3 + 8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16941 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a - -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 116915229 divided by -419051.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 5*f - 4365, f + 8 = 5*f. What is the highest common factor of p and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1266105?\nAnswer: 3, 5, 84407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the first derivative of h**5\/25 + h**4\/4 + 3*h**3\/5 + 7*h**2\/10 + 2*h\/5 + 9. Factor z(a).\nAnswer: (a + 1)**3*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 27*v**2 + v - 1. Let z = -40 - -35. Is s(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = z + 86877, 0 = -5*m + 4*z - 95351 + 8484. Let g = m + 3175. Round g to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 r when four letters picked without replacement from rrrccccrrrrrcccirr?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -111911 + 111908. Suppose -3 = -2*g + 5*j, -3*g - 3*j = -5 - 10. Let w = 0 - 0. What is the fourth biggest value in -4, g, n, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -1100*q + 4854. What is i(4)?\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 - 8*m + 3. Let l be k(6). Let r = -9 - l. Is -0.2 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pgpgbpspxxxsppbbx?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 6074156 divided by 4\nAnswer: 1518539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 8 + 14 - 7 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3028\/14 - (104\/(-28) - -4). Suppose 2*p - y = -2*x, 3*p = -x - 0*p + 102. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2750 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27 + -76. Let h = 99 + w. Let z = 143 - h. Is 31 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k - 4*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1*((0 + sqrt(175))*4)**2 + (4 + sqrt(175) + 0 + sqrt(175) + sqrt(175)*2 + -4)**2*3.\nAnswer: 11204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o - 7*o = -25. Let g = -1 - -0.966. Let f = g + -0.966. Which is the closest to f?  (a) -3  (b) 0.4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 92713 and 207?\nAnswer: 834417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10.2 + 13.2. Put 2\/11, 5\/4, 0.1, h in increasing order.\nAnswer: 0.1, 2\/11, 5\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 15*z. Let t(r) = -32*r. Let v(p) = 7*m(p) + 3*t(p). Let u(w) = 3*w. Give -17*u(y) + 6*v(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/4482 and -97\/16.\nAnswer: 35856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from ofjop.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 27 - 25 = -5*p, 5*o + 5 = 5*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/153144 and 133\/54446946.\nAnswer: 1960090056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -d**5\/15 - 122*d**4\/3 - 968*d**3\/3 - 2*d**2 + 1638*d. Suppose p(u) = 0. Calculate u.\nAnswer: -242, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 3154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 24 divided by 22\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 83 + -87. What is the closest to 0.2 in g, 0.2, -0.05?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2248 and 3512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 3*n + 29, -2 + 30 = 4*c - 4*n. Suppose -5*t = -0*y + 4*y + 983, t = c*y - 187. Is t smaller than -195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 13*w**2 - 2*w - 21. Let v be g(-13). Suppose 4*d = 2*k + 136, 0 = v*k - 9 - 11. Suppose 28*i - 22*i = d. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lcxxccvcwvcfxwc. Give prob of sequence wfx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -6, -2, 2, 33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 61*u + 1532. Let c be d(-25). Solve 0 = -c*x + 219 - 212 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.12 + -6.88. Let m = y - -7.05. What is the biggest value in 4, m, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/7, 3\/10, -1 in descending order.\nAnswer: 9\/7, 3\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/2)\/((-1)\/(60\/(-15)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2862, -15545, -28228, -40911, -53594, -66277?\n\"Answer: -12683*v + 9821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2*r**2 + 6*r. Let d be u(-4). Let y be 4\/1*10\/d. Suppose -5*j = 0, 4*i + y*j = 172 - 12. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3126.455 rounded to 0 dps?\nAnswer: -3126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25402 + -1930593\/76. What is the common denominator of l and 68\/285?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2323*t**4 - t**3 + 2*t**2 + 138*t - 9483925 wrt t?\nAnswer: 9292*t**3 - 3*t**2 + 4*t + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -2*d + 12, -a + 20 = 5*d - 3*d. Calculate the remainder when 151 is divided by d\/(32\/132) + 5.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19936 - -19944. Suppose 5*a = a. Solve f - r = 4*v, a*f + 4*f = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1235173, -1235172, -1235171, -1235170, -1235169, -1235168?\nAnswer: -1235167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -7.1, 8, -17.02?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 - 4)*(4*n - 3*n - 2*n)*(6*n - 9*n - 10*n)*(-78 - 14*n + 78) to o*n**2 + r + j*n**3 + l*n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 202211001222212?\nAnswer: 202211002000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - r - 4*r - 50 = 0, j = -r + 11. Let d(v) = -v**3 + 16*v**2 - 15*v + 16. Let c be d(j). What is the highest common divisor of 32 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 235718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 87\/5 of a milligram in micrograms?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2311 + -3367. Suppose -13298 = 4*h + 2126. Let b = h - c. What is b rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29298 - -29334. Solve 0 = n*d + d - 74 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210200021101222 (base 3) in base 4?\nAnswer: 223330133102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 122*-0.133\nAnswer: -16.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -40*j. Let k = -74 + 78. Let o be (-3 - -4)\/((-1)\/(-8)*k). Let h(x) = x - 31*x**2 - x + 33*x**o. Calculate v(h(d)).\nAnswer: -80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 14 + i**3 + 11*i - 6 + 7 - 13*i**2. Let f be h(12). Suppose 514 = 2*g - 4*w, -115 = 2*g + f*w - 594. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*a - 532 = 108 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -115 - -123. Let f(q) = 192*q - 23. Is f(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n*n**(-11\/3)*n*n*n\/(n*n*n*n*n\/(n\/(n*n**(-9))*n)) assuming n is positive.\nAnswer: n**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 611223 - 611191. Let o = 12 - 8. Let i(g) = -g**2 + 7*g - 1. What is the remainder when w is divided by i(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7*(-11)\/3 + (-2)\/3 and 61\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 - (3 - -171)) + (-25)\/((-325)\/26). Sort 2, -7, w in increasing order.\nAnswer: w, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 13) to base 14.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/11071 - -33211\/22142. Which is the closest to -1?  (a) -12  (b) -1  (c) -6.2  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2*b - 2541 = 0, -3*w - 15*b + 2550 = -14*b. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 7:29 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(-15)\/(-30))\/(2\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 AM and 9:39 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-2 + 2 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/7  (b) 1\/2  (c) 4  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 12:01 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -27.3997249 from 2357.\nAnswer: 2384.3997249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xumuxuxuuuxum. What is prob of picking 2 m and 1 x?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -44) + -78 + -1 + -23?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -755 at most as big as -755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1145 - 1038. Suppose 0 = 7*d + f - 121. Solve 12\/5*b**d + 8\/5*b + 4\/5*b**3 + 0 = 0 for b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d, 1 o, and 1 t when four letters picked without replacement from {k: 2, o: 2, t: 1, d: 2, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 188 + -184.39. Let n = 4.11 - p. What is the nearest to 3 in 1\/7, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1114214404 (base 5) to base 10\nAnswer: 2491854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6 - 2 - (-17 + 13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of m**3\/3 - 3*m**2 + 2*m + 3. Let q be j(4). Let l(b) = -3*b - 6. List the prime factors of l(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 12040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 6:15 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -6 - 2*w + 2*w**3 - 3*w**3 + 9*w = 0. Calculate w.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -k**3\/6 - k**2\/2 - 3*k - 2. Let b(g) be the first derivative of p(g). Let w(z) = 7*z + 4. What is 5*b(q) + w(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36460 is divided by 112.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**2 + 2*a**2 - a**2)*(-2 + 2 - 1) + (a + 0*a - 3*a)*(6*a + 21*a + 8*a) + (21*a - 109 - 16*a + 112)*(-5*a + 2*a + 5*a).\nAnswer: -58*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 11:58 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 32, -4.9, 1\/3, -1\/4, -2, 3?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 13) in base 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160556.\nAnswer: 2, 11, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 230*t + 0*t**3 + 82 - 74 - 8 + 2*t**3 - 56*t**2 = 0. Calculate t.\nAnswer: 0, 5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130 - 283 = -4*f + 3*u, -3*f - 4*u + 316 = 0. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/45?  (a) 0  (b) -5  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of -5*w**8\/1176 - 8*w**7\/735 + 3*w**6\/140 + 4*w**5\/105 - w**4\/21 - 51*w**2. Suppose r(i) = 0. Calculate i.\nAnswer: -2, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -149760*t**3 - 299525*t**2 - 149770*t - 5.\nAnswer: -5*(t + 1)**2*(29952*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*c = -154*c + 986004. List the prime factors of c.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 209508*y**5 - y**3 + 2*y + 181753?\nAnswer: 4190160*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*u + 578 + 4449 = 920. Calculate the remainder when 4659 is divided by u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 7752 + 4696. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 2*r + 78, -3*n = -7*n + 4*r + 84. Let o = 4 + n. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277551 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 9*f**2 - 9*f + 12. Let n be m(-10). Let i be (-190)\/(-12) - 8\/24. Let d = -14 + i. Which is the nearest to 1\/2?  (a) n  (b) d  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 10*i - 3*i + 6*i. Let u(t) = -51*t. Let r(g) = 17*m(g) + 4*u(g). Is r(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + l**2 - 2 - l)*((-8*l + 3*l + 3*l)*(0 + 5 - 3) - 2 - 2*l + 2 - 3*l + 5*l - 3*l - 243*l + 134*l + 213*l).\nAnswer: 97*l**3 - 194*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g - 166*t = -12*g - 24, -34*g + 29*g + 0*t - 60 = t for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24 - 1322431014?\nAnswer: -1322431043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 10) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -98 + 108. Calculate the highest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*f - 430 + 1298 = 580 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 2425, -2 in descending order.\nAnswer: 2425, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -74 - -98. Calculate the remainder when 354\/(-3)*1*-1 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -18. Let h = 42 - 39. Suppose -h*v + 116 + 46 = 0. Calculate the remainder when v is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 76, 13, 124 in decreasing order.\nAnswer: 124, 76, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - -22. Suppose 375 = 56*n - 31*n. Calculate the remainder when l is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0289823838 rounded to 4 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1879\/2635 + -165\/527. Let v be ((-2)\/36)\/(1\/(-698)). Let p = v - 115\/3. Put t, p, -2\/15 in descending order.\nAnswer: p, t, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59226 is divided by 1790.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/38*14\/(-224)*-8.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0 = 4. Let s(q) = 4*q - 5. Let w be s(i). Let u(b) = 2*b + 2*b - w*b. Let a(y) = y. Calculate a(u(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 762 - 761.96. Put 15, w, 0.1 in descending order.\nAnswer: 15, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1034 + 1037. Factor 0*x + 1\/4*x**2 + 3\/4*x**u + 0.\nAnswer: x**2*(3*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00338205 rounded to 5 decimal places?\nAnswer: -0.00338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -6*g + 36. Let h(v) = -30*v + 181. Let s(i) = 2*h(i) - 11*q(i). Let u be (-12)\/18 + 62\/3. What are the prime factors of s(u)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 6*c + 4. Calculate d(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - (-8)\/((-32)\/227811404). Let p be -1*286663\/2*-262. Let q = i + p. Round q to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 28 = -0*t. Calculate the greatest common divisor of t and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 967569929 to the power of 1\/2, to the nearest integer?\nAnswer: 31106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -898959228 divided by -2.\nAnswer: 449479614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/15 and 157\/714.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7240 is divided by 44.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -5*r - 150, 2*v + 4*r = r + 35. Let q = 95 - v. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/5)*d**(6\/5)\/d)\/((d*d**(2\/7))\/d*d)**(-40))\/((d**(1\/4))**(-46)*((d*d*(d\/(d\/(d*d*(d**(2\/3)*d)\/d)))\/d)\/d)\/(d*(d**0\/d)\/d)) assuming d is positive.\nAnswer: d**(12403\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7941287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.5+22041.84\nAnswer: 22042.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 3*h**4\/4 - 6*h**3 + 6*h**2 + 24*h - 123. Is 64 a factor of v(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-3 + sqrt(425) + (sqrt(425) + 1*sqrt(425) - sqrt(425) - sqrt(425)) + 5 + sqrt(425)*3 + 5))**2 + -2.\nAnswer: 4480*sqrt(17) + 109582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 444*v - 437*v - 63 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -84\/5  (b) 111  (c) 18\/7  (d) -4  (e) -2  (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/1225*168\/(-216).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.5 - 1.3. Does -5 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 6*j - 10. Let p be a(3). Solve -x - x + p = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l**5 + l**5 + l**5)*(3 - 3 - 1) + 81*l**5 + 638 - 638 + (2*l**2 - l**5 - 2*l**2)*(3 - 6 + 4) - 3*l**5 + 5*l**5 - 3*l**5.\nAnswer: 80*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -16081393*k*t - 18192*t - 227 wrt k.\nAnswer: -16081393*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4091706 and 1908.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 2 + (2 - 2) - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/91 - 101\/455. Let g = -118 + 113. Let p be 2*(-3)\/(-6)*1. What is the closest to p in -2\/7, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(560)*-2)\/(sqrt(63)*-2))**2.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in -19, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + 10*b - 20. Calculate the remainder when 207 is divided by m(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 207 at least as big as 205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from cyccyycyyccyccccccn?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -a2 (base 11) in base 8?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 - 15*c + 49. Let s(n) = n**2 + 7*n - 4. Let z be s(-7). What is the remainder when v(14) is divided by (-49)\/z + 4\/(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17761 and -2?\nAnswer: -35522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 324567022 is divided by 5438.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 9*p**2 - 4*p - 10. Suppose -2*c - 25 = -5*o + 4*o, -4*o + 90 = -3*c. Suppose o + 11 = 4*a. Is w(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2*h**2 - 2. Let w(d) = 5. Let p(a) = 14. Let s(q) = 6*p(q) - 17*w(q). Let n(m) = 2*s(m) - u(m). Let l(z) = 2*z. Determine n(l(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -196*q**4 + 2*q**3*u - 68*q*u + 19*u wrt q.\nAnswer: -2352*q**2 + 12*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, o: 3, j: 1, y: 4, m: 1, f: 2}. Give prob of picking 1 f and 1 m.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -35 in 1, -2, 3\/5, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2450 and 1525450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 687218?\nAnswer: 2, 7, 191, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*k - 212 = 53*k + 3892 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -211*p**2 + 124*p - 378. Give z(3).\nAnswer: -1905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 101 + 1064389?\nAnswer: 1064490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 36 - -51?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 915063716 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -4*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - 5\/(5\/(-2))) + 3. Suppose 4*l - 82 = -t*s, -2*l + l + 24 = -s. Calculate the remainder when 52 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1080 - -1091. Solve 9 = -a*b + 8*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 4*g = 174, 2*i = -10*g + 8*g + 312. What is i rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - 12676?\nAnswer: -12674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5200 times 0.1\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {w: 1, r: 1, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 3\/4*q**4 + 0 - 1\/4*q**3 + 1\/2*q**5 - 1\/4*q - 3\/4*q**2 = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -0.17408461\nAnswer: 0.17408461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 6 = -4*w. What is the first derivative of -8 - x**2 + 2 + w + 0 wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + 1 - -6 - 2. Let x = -1520 - -1560. What is the highest common divisor of x and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 7761.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w = 9*w + 32*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((-754)\/(-780) - (-6)\/(-20))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sdy when three letters picked without replacement from mdolslldooolmloly.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.35 - -21.916168\nAnswer: 22.266168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 86770 and 90?\nAnswer: 780930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 341.0922 litres to millilitres.\nAnswer: 341092.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1178601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g + 2. Let f be c(4). Let n(t) = -2*t - 9. Let l be n(f). Suppose -3*d - 4*v = -d - 54, l = -d + 4*v. Solve -4*z = -d - 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*r = -30*r - 3*p + 11376, 3*p - 15163 = -4*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 9*l - 2*l**3 + 9*l**4 - 10*l**4 + 8*l as q*l + j + w*l**3 + d*l**4 + i*l**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(((p*p*p**6)\/p)\/p))\/((p\/p**(-9))\/p*p))\/(p**2\/p)**(-3\/5))**(13\/2) assuming p is positive.\nAnswer: p**(-468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -70 - 1125?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - -60)*10*1\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9\/523 + -25708\/4707. Let a = 1 + -1. Find the common denominator of m and (-7)\/((-49)\/40) - a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -24, 4*n - 3*h + 5 - 3 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 1)*(0*q - q + 3*q) + 4*q + 0*q - 3*q + (-3 + 3 + 8*q)*(-3 + 1 + 1).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/(-15))\/(4\/30). What is the greatest common factor of 18 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*114\/(-72)*(-132)\/(-627)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - 20d?\nAnswer: -20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 461 + 1925. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 + 10*q**2 + 10*q + 15. Let h be r(11). Suppose 4*i = -2*w - 16, w - 2*w = -h*i - 22. Solve 12 = -5*d + w*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 9, v: 2, i: 2, l: 1}. What is prob of picking 2 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170 is divided by -4*(459\/(-36))\/17*65\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pll when three letters picked without replacement from lllplpl?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 17260 divided by -10?\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of -z**4\/8 + 58*z**2 - z - 6. Let w(p) = -74*p**2 + 2. What is w(u(l))?\nAnswer: -666*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*(-1518)\/(-396) + (-19 - (-10 - -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(350)*-1*-4 + -6*(sqrt(350) + sqrt(350)*-1 + sqrt(350)))\/(-2*sqrt(343) - sqrt(7) - (sqrt(112) + 3*sqrt(112))))**2.\nAnswer: 200\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3137100*f**4*p - f**2*p - 1889*f**2 - 65*f*p - f - 2 wrt f.\nAnswer: -75290400*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -26*b**2 + 5*b + 5. Let l(z) = 13*z**2 - 3*z - 3. Let n be 14\/56*(4 - 4). Suppose -1 = s, 2*o + n*s = -3*s - 9. Give o*g(a) - 5*l(a).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9871 - 108557\/11. Solve 0 - 2\/11*w**4 + 18\/11*w**3 - 40\/11*w**2 + f*w = 0 for w.\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 2017169627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**(1\/4)*r*r))\/r)**(-2)\/(r**(-1)*r)**(-11\/4) assuming r is positive.\nAnswer: r**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.7?  (a) -0.18  (b) -2  (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/9*q**3 + 0 + 0*q**2 - 1\/9*q.\nAnswer: q*(q - 1)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/16 and 9\/12927626?\nAnswer: 103421008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 63036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -q + 36 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 10) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d - 2*d + d)*(-3 - 1 + 5) - d - 2*d + 4*d + 11*d + 11*d - 5*d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -21042.1 and -91?\nAnswer: 1914831.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -221\/2158727?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*s = -33 - 37. Let f be 1 + -1 + 0\/s. Which is greater: -72 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (c - 4 + c + 3)*(-169*c + 202*c + 0*c**2 + 4*c**2) in the form a*c**2 + t*c + v + l*c**3 and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -12*o + 1. Let h(u) = -u - 930. Give n(h(r)).\nAnswer: 12*r + 11161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 432\/675275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20778169?\nAnswer: 20778169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-2)*154\/(-21). Let u(c) = c**2 - 13*c + 31. Let p be u(v). Suppose 0*b = -p*b + 27. Solve -16 = b*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10589771 or 2?\nAnswer: -10589771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((-2 + sqrt(3))*5 + -1 + 1*sqrt(6)\/sqrt(2)*-2)**2.\nAnswer: -66*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 3*o + 101. What is the smallest common multiple of 51 and w(-16)?\nAnswer: 5253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -67252, -67256, -67260, -67264, -67268?\n\"Answer: -4*n - 67248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 12:14 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 58 and 1073?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6448 and 1519?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19*y + 68*y + 74*y)*((2*y + 2*y - 5*y)*(2 - 1 - 3) - 2*y + 2*y + 2*y)*(4 + 4 - 1) to j*y**2 + f + u*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48724 and 231439.\nAnswer: 925756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.23 * 140700\nAnswer: -32361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 9:02 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 802536\/60 + -2 + -8*15\/(-50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - ((-13224)\/80)\/19.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.03?  (a) -4  (b) 0.25  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -10 - ((26 - 9) + -56)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*q**4 - 3*q**3 + 3*q**3)*(3 + 1 - 2) + 11*q - 5*q**4 - 11*q)*(51 + 11 - 11).\nAnswer: -459*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqk when three letters picked without replacement from sskssssqqsqqsssqqsqs?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40 - 39.6. Sort j, 5, -0.4, 2.\nAnswer: -0.4, j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -77 in -2, -3, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y - 5. Let k(t) = -t - 1. Give -2*k(v) + o(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10660579 divided by -12.\nAnswer: -10660579\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of 0*i + 0*i**4 + 0*i**2 + 9 - 1\/3*i**3 - 1\/60*i**5. Let k(d) be the third derivative of w(d). Let b(c) = 2*c. Give b(k(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8\/225 - -1751\/675. Find the common denominator of s and (1 + -2)*(737\/22 - 34).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6374651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -5*u. Let f(r) = 1264184*r. Determine a(f(x)).\nAnswer: -6320920*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.68871339 minus 0.2?\nAnswer: -7.88871339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 9:19 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1536 and 320?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4820379569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3*t - 2. Let o be -7*1 + (-1 - 1). Let g be ((-6)\/o)\/((-2)\/12). List the prime factors of x(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 16) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 434 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144) + (sqrt(144)*-1 - sqrt(144)))\/(sqrt(120)\/(sqrt(10)*-2)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 - 1)*2 - 2. Let d(w) = -w - 1 - x*w - 4*w. Let l be d(-2). Calculate the greatest common divisor of 65 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 781 and 1529.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 22207*x - 155443. Determine t(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000224 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 6*c - 923 = -860, -66 = -r - 2*r - 2*r - 7*c for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16.2 - 14. Let d = 0.027 - -2.473. Let o = d - k. What is the closest to -2\/5 in -4, o, 10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 9*j**2 - 2*j - 16. Let c be n(-9). What are the prime factors of c\/(10\/(-15)) - -120?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 267781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, -18, -29, -60, -117, -206, -333, -504?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4133 is divided by 406?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 3*z**2 - 4*z - 7. What is i(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 26 = -f - 3*f, 2*d = 3*f - 22. Let l be (10\/(f + -3))\/2. Suppose -2 = -l*c + 8. Calculate the smallest common multiple of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 396 - 374. What is the remainder when 238 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -334*u - 52. What is the hundreds digit of w(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 + 3*o + 7. Let i(s) = 7*s**2 + 10*s + 27. Calculate 6*i(u) - 22*k(u).\nAnswer: -2*u**2 - 6*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of 689*q**5\/20 - 1701*q**2\/2 - 1633*q + 2. What is the first derivative of k(y) wrt y?\nAnswer: 2067*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 10*t. Let h(g) = -109*g**2 + 48*g**2 + 60*g**2 + 31*g. Determine h(i(x)).\nAnswer: -100*x**2 + 310*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2*j**3 - j**3 - 3*j**3)*(-5*j - 10 + 10) - 3*j**4 - j + j)*(0 - 2 + 1)*(-1 - 3 + 5) in the form n*j**2 + l*j**4 + h*j**3 + w + t*j and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 152*o**3 - 6*o**2 - 872*o**3 + o + 5*o**2. Let x be a(1). Let l be (-2500)\/2*x\/2. What is l rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.8 + -2.8. Sort b, 7\/4, -4 in ascending order.\nAnswer: -4, b, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 248 and 6169?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*m - 180 = 155 - 87 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 11 + 59. Is -1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 296\/5 + -60. Which is the nearest to 2\/7?  (a) m  (b) -4  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118531?\nAnswer: 7, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -1. Let d = -5.0414 + 8.0414. What is the nearest to -0.1 in -0.2, f, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 283, -62, 22 in ascending order.\nAnswer: -62, 13, 22, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g**3 + 6*g**2 - 2*g - 5. Suppose -3*p + 2*n = -6, -4 - 3 = 2*p - 5*n. Is j(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - 1a5bd?\nAnswer: -1a5c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.8415799 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7681711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 + 5*r**2 + 2*r - 5. Let n be u(-4). Let j be (12\/16)\/(2\/8). Calculate the highest common factor of j and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 9*f**2 + 5*f + 5. Let s(c) = -9*c**2 - 4*c - 4. Let m be (-38)\/57*(-30)\/4. What is m*s(z) + 4*w(z)?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 17*n = -23415. Let c = -5314784031\/3411560 - 1\/852890. Let f = c + n. What is the common denominator of f and -73\/26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + sqrt(3)*2) - sqrt(3))**2*6 - -1*sqrt(6)\/sqrt(2).\nAnswer: sqrt(3) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*t + 0*t = -3362. What is the remainder when t is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 - 1\/(2\/(-10)). Suppose w + 2*x = l*w - 38, 2*w - 5*x = 47. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 3*l - 7*l - 26, 0 = 4*i + 4*l - 4. Suppose -115 = -i*g + a + 385, -g - 2*a + 100 = 0. Calculate the smallest common multiple of g and 22.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21864 or -21866?\nAnswer: -21866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2)**1*(d*(d*(d*d\/d**4*d)\/d*d)\/d)**(23\/6) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -5 + (3 - -4) + (-3)\/(-1). Find the third derivative of -4*g**s - 6*g**5 - 31*g**2 + 35*g**2 wrt g.\nAnswer: -600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2524 * -6\nAnswer: 15144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 708498558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/5))**46\/(((x**(13\/4)\/x)\/x*x)\/x)**(10\/3) assuming x is positive.\nAnswer: x**(427\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13143011 - 13222?\nAnswer: -13211233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 2*s + 6 = 0, -11 = 2*h - 6*h + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 8) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 17 = -2*c, 0 = 4*c - 24*o + 19*o - 21. Which is bigger: c or -5\/132?\nAnswer: -5\/132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3668.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -28, -55, -82, -109, -136, -163?\n\"Answer: -27*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/6 - -1)*(-7)\/(-70)*36\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (4 - 25 - -1) - (1 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 6*y = 0, 38*d + 26*d - 3*y = 13*d + 153 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 5*u + 25 = -10, -25 = 5*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -47, -26, -5?\n\"Answer: 21*s - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 180 + -167. Suppose -u*p = -p + 372. Is -32 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 4 + 0)*(2 + f - 2) - 79*f - 164*f + 176*f - 163*f - 199*f as n + j*f and give j.\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 153*m - 303*m + 149*m. Let l(q) = 586*q**2 - 3197*q + 3197*q. Calculate l(x(b)).\nAnswer: 586*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 7580 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -51, -54, -57, -60, -63?\n\"Answer: -3*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10.84 - 11.84. Which is smaller: 62\/23 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*i**2 - 314 + 322 + 27*i**2 as j*i + m*i**2 + h and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + n = -10, 4*u + n + 4 = 3*n. Let a be 4*(u - (-19)\/4). Let y(o) = -o**3 + 14*o**2 + 3*o - 10. Let l be y(14). Solve l = 5*x + a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -6, 0.2, 17\/4, 2, -2 in decreasing order.\nAnswer: 17\/4, 3, 2, 0.2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -4*p**5 - 158*p**4 + 7818*p**3 - 49828*p**2 + 50392*p + 38640 = 0.\nAnswer: -70, -1\/2, 2, 6, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2629 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7758669 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (5 + 1 + 5 + (sqrt(156)\/sqrt(3)*-4)\/((sqrt(40)\/sqrt(2))\/sqrt(5)))*1.\nAnswer: -4*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1091340 divided by 2021.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12011121222 - 11?\nAnswer: 12011121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -13. Let f = -25749\/4 + 6438. Sort m, f, -18 in descending order.\nAnswer: m, f, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (0 - 6) + -3 + (5 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.5 - -0.3. Let d = 3.38549 + -0.38549. What is the second smallest value in -0.13, d, o?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-9))**(-5) assuming m is positive.\nAnswer: m**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -5*t - 3 + 11, 2*t + n - 12 = 0. Let z be (-1 - -3)\/(t\/18). Calculate the greatest common divisor of z and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, w: 5, p: 2}. What is prob of sequence twtp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/2876 and -35\/44056.\nAnswer: 31676264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -833*v**2 + 2501*v**2 + 38*v - 834*v**2 - 833*v**2.\nAnswer: v**2 + 38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 380*k**2\/3 - 8008*k\/3 + 196 = 0. Calculate k.\nAnswer: 7\/95, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -81*u - 2303. Calculate v(-27).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1274\/364*(-16)\/(-24)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 4*f**2 - 4*f - 2. Let c(r) = 9*r**2 - 8*r - 5. Let y = 10 - 8. Let q(p) = y*c(p) - 5*v(p). What is the second derivative of q(l) wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*c - 76 + 1021. Let q = 123 - c. Solve -4*k = 4*f - 2*f - 12, -4*f + q = 5*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16*(-81)\/5184*6\/1*530\/(-15)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-12)*x*x)\/x*x*x**(-7\/5)*x*(x*x**(1\/2))**(1\/2) assuming x is positive.\nAnswer: x**(-193\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21192 is divided by 434.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 0.0199316.\nAnswer: 0.099658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 48 = s. Let a be 8\/s - 140\/(-18). Suppose -5*n - 15 = -a*n. Solve -n*q + 1 = 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 4. Suppose 0 = 4*c - 17*c. Suppose c = j*s - 11*s + 224. What is s rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49 divided by 4.\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/10 in -11\/5, -3, 7, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 371*m - 4376*m - 3571*m + 532*m + 28176 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.66  (b) 2\/7  (c) 3\/4  (d) 0.07  (e) 5\/4  (f) -0.14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - -5.39. Let z = 0.61 + o. What is the biggest value in z, -3, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 j when three letters picked without replacement from tjjjjtjjjt?\nAnswer: 7\/40","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 2:11 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/2 + 270\/(-4). Let x be (7\/(-2))\/(10\/(-180)). Let t = x - b. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4389*w - 99 = 5*q - 4410*w, -q - 19 = -4*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -2, 4, 34 in increasing order.\nAnswer: -5, -2, -1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-28)\/126 - 3921\/(-27). Calculate the highest common factor of 58 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5962405 centimeters to millimeters.\nAnswer: 5.962405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -68*v**5 + 418*v**3 - 18376*v**2 - 2.\nAnswer: -4080*v**2 + 2508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**5 - 364*j**4 + 8088*j**3 + 9200*j**2 - 16928*j = 0. Calculate j.\nAnswer: -2, 0, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2)*(-4 + 2 + 4)*(18*p**4 - 7*p**4 - 3*p**4).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (24086*c**3 + 19033*c**3 - 2731*c**3)*(-2*c - 3*c + 6*c) in the form n*c**3 + d*c**4 + u*c**2 + t + z*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-1)\/(1\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**2. Let v(a) = 2 - 3*a**2 - 3 + 1. What is v(w(y))?\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + -2)\/(1\/(-2)). Suppose -9*i + 24*i + 16*i = 0. Solve 2*n + 3*n = 4*h - 8, i = -4*h - o*n + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172477 is divided by 1092.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 23234*f - 23232*f - 4*o, 0 = -3*f - 4*o - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 - -65\/3. Put -0.11, -4, d in descending order.\nAnswer: d, -0.11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/375 at least as big as -4140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -65180762 - -65180412.00187. Let y = v - -350. Round y to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/((c*c*c**1\/c*c*c*c*c)\/c))**(-13\/6))**(10\/3) assuming c is positive.\nAnswer: c**(260\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3 + (-6 - -1) - -2. Suppose 6*f + 2*f - 256 = x. Suppose r + 5*y - 1 = 2, 5*y + 69 = 3*r. Calculate the remainder when f is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 3:09 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of 4*c**3\/3 + c**2\/2 + 3. Let i be t(-1). Is 3 + i*76\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5316 (base 14) in base 12?\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 0*t - 456 = 0. Which is smaller: -151 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.48473211 + 0.296731802. Let d = x + 0.188. Round d to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 66*x + 507. Let b be n(-7). What is the greatest common factor of b and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -58 and -0.02.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 10*x**2 - 5*x - 9. Let s be q(-5). What are the prime factors of (-2)\/8 + s\/8?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w - 50 = -44 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 9. Let w = 0.07 + 4.93. What is the nearest to 1 in w, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*t**3*u**3 + 4*t**3*u**2 - 228*t**3 - 3*t**2*u - 2*u**3 wrt u?\nAnswer: 18*t**3*u + 8*t**3 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = j - 4*j. Put -7, j, 4 in descending order.\nAnswer: 4, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 164?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -c**9\/756 + c**7\/105 - c**5\/30 - 68*c**3\/3 + 36. Let f(o) be the third derivative of m(o). Factor f(z).\nAnswer: -4*z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78245201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + 4 + (sqrt(11)*-4 - sqrt(11) - sqrt(11) - sqrt(11)) + -3 + sqrt(99).\nAnswer: -3*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 <= 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + q + 1. Let c(j) be the first derivative of 5*j**4\/4 - j**3\/3 + 3*j**2\/2 + 2*j - 5. What is -c(n) + 3*y(n)?\nAnswer: -2*n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 435*f = 312*f + 133*f + 157*f - 3006 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 2\/27  (c) -0.01  (d) -2  (e) -147.9  (f) 0.122\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -10995, -21, -5, -2, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*c - 4 = -37*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57367, -57355, -57335, -57307, -57271?\nAnswer: -57227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*l + 17 = n - 21*l, 0 = -5*n - 2*l + 33 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/p**(-2\/19)))\/(p\/(p\/p**8)))\/(p**5\/p*p*p**(-2\/29)) assuming p is positive.\nAnswer: p**(-7183\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -4, -3\/8, 0.9 in decreasing order.\nAnswer: 0.9, -2\/11, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14552 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 divided by -25934?\nAnswer: -59\/25934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-283 - 31*m + 283)*(-4 + 1 + 1)*(4*m + 3*m - 6*m) to the form s*m**2 + u + h*m and give s.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-21)\/105 - (-1292)\/10 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48*i + 25 + 48*i + 2*i**2)*(-1 - 2 + 4)*(0 - 1 - 2)*(7*i - 4*i - 5*i)*(-10 + 10 + 11).\nAnswer: 132*i**3 + 1650*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/6*-4*(-1)\/(-10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 46.207.\nAnswer: -92.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-6)*-9)\/((-90)\/(-90))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -4*f**5 + 1004*f**4 - 91716*f**3 + 3573508*f**2 - 48458600*f - 52124832 = 0?\nAnswer: -1, 36, 58, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1318074*-0.275\nAnswer: 362470.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 14535805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 5. Let c = 76 - 383\/5. Calculate the common denominator of c and 47\/1*(0 + a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**3 - 4*y**2 - 2*y + 4. Let p(x) = -2*x**3 + 3*x**2 + 2*x - 3. Calculate 6*p(h) + 5*q(h).\nAnswer: -2*h**3 - 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4)\/d)\/d**(-3\/5)*(d**(-1)*d)**(-22) assuming d is positive.\nAnswer: d**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26 - 105 + 26)*(0 + 0 - 4*i).\nAnswer: 212*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6075.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1869, 1.01, 355 in decreasing order.\nAnswer: 1869, 355, 1.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2 - -1)*-1*(-131)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 AM and 11:33 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28303.0766 - -28303. What is the biggest value in -1, d, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 367010 by -52430.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -14 - 21. Let g = o + -3. Solve c = g*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51847564, -51847572, -51847580, -51847588, -51847596?\nAnswer: -51847604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 PM and 2:29 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 14) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + a + 135 = 0, -84 = 3*o + 470*a - 475*a. Let w(b) = b**3 + 34*b**2 + 32*b - 36. What is w(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (152\/114)\/(-4)*(57\/4)\/1.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, 3, 0, 0.664102, 1.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1627 a factor of 282513348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1592663\/5560512 - 1\/28961. Find the common denominator of 55\/96 and j.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8625966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.346873 rounded to three dps?\nAnswer: 1.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 334774 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 53922\/(-956175) + 2\/122\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 21*p**3 + 4*p**2 - p - 2. Calculate o(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1738254 and 2.\nAnswer: 1.8261746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 191 or 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 - 6*p + 5. Suppose -4*c = 5*v + 5 + 9, -5*v + 40 = -5*c. Let s be r(c). Solve t - 4 = -s*d - 2*t, -2*t - 8 = -2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 367366*a + 367373. Calculate g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of 71\/105*p**5 + 200\/21*p**3 + 185\/21*p**4 - 37*p**2 + 1\/60*p**6 + 0*p + 0. Factor o(d).\nAnswer: 2*(d + 10)**2*(7*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7158\/1692 + (2 - 6). Let f = 937 - 44042\/47. Let r = f + l. What is the closest to -0.2 in r, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/5)*g)\/g**(-2)*(g\/(g**4*g)*g)\/g**3 assuming g is positive.\nAnswer: g**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -4*a + 12, -5*r = -2*a - 15 - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -6475.53087 to the nearest 10.\nAnswer: -6480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -11*i + 220. Let x be f(21). Let r(c) = 5*c**3 - 9*c - 2. Let z(o) = 3*o**3 - 5*o - 1. Determine x*z(q) + 6*r(q).\nAnswer: -3*q**3 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 + 7*h**2 - 10*h - 3. Suppose -p = -7*p - 342. Let t = -52 - p. Let i be l(t). Let f(d) = d**3 + 4*d**2 - d - 4. Determine f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 13*t**2 - 314*t + 6. Let r(g) = 37*g**2 - 941*g + 17. What is 17*l(i) - 6*r(i)?\nAnswer: -i**2 + 308*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29864279.\nAnswer: 349, 85571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 77.\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -532 + 108 = -4*w. Let x = 67 - w. Does 4 divide -3 + ((-1)\/((-1)\/x))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 3 - 4 = 0, -2*d = 5*s + 17. Let u(z) = -z**3 - 4*z**2 - 2*z - 3. Give u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = 3*c - 2*l, -4*c + 50568197*l - 50568196*l - 31 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 247*a = 248*a - 2*m + 11, -5*a - 3 = 3*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) -0.06  (c) 4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.1, -0.099, -0.3, 7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2d6 - 0?\nAnswer: 2d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 15*n + 2\/3*n**3 + 0 - 23\/2*n**2. Let t be i(7). Solve 3*y - 1 = t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 + 4*f**2 - f + 3. What is p(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2ba5ab (base 12) to base 7.\nAnswer: 6215531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -2 + 0 + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 + -6 + 5 - 10) + 6 + 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -67*r**7\/7 - 137*r**3\/3 - r**2 + 135. Find the third derivative of g(m) wrt m.\nAnswer: -8040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 38*u**2 - 32*u**2 - 5*u**3 - 6*u**2.\nAnswer: -5*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1016?  (a) 4  (b) -1061  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 1)\/(3\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*s - 2. Suppose s*k + 2*k + 2*c = 190, -c - 97 = -2*k. Let u = k - -14. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 3*i + 2*i)*(589*i - 587*i + 15 + 18).\nAnswer: 10*i**2 + 165*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v**3 + 7*v**2 + v - 2. Give d(5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 20 = 0, 15*f - 13*f = p + 7362. List the prime factors of f.\nAnswer: 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from jwgwjs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -569 - 366*d**3 - 133*d + 364*d**3 - 3181 + 128*d - 1313*d wrt d.\nAnswer: -6*d**2 - 1318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of 11*n**5\/60 + n**4\/24 - n**3\/3 - 9*n**2. What are the prime factors of b(-3)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bzdttrdrwrbbwrdbt. Give prob of picking 1 b, 1 t, and 1 r.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {i: 3, r: 2, m: 2, x: 2, d: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 593.5 at least as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 1287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - v = 2. Let q = 2 + 0. Suppose 3*c - 9 = 0, -3 = 2*j - q*c + 3. Solve j = v*p + 3*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 52*c**3 - 6*c**2 + 38*c - 68. What is g(2)?\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 3*y + 24 = 4*y, -3*v + 18 = -3*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1310, -1414, -1518, -1622, -1726, -1830?\nAnswer: -1934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-6))**18\/(l**(-5))**(-1\/63))**(-2\/59) assuming l is positive.\nAnswer: l**(13618\/3717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/18 and (-19)\/(-1178)*(162\/(-20) + 2).\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4558*o - 4641*o = 5644 for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*f + 964 + 757 - 3242 + 761 + 760.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/4  (b) 6  (c) -496\/2621\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19112709*d**2 - 14508062*d.\nAnswer: -38225418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = -3*o - 14, -3*j = -o + 29 - 47 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of -2*h**5\/45 - 5*h**4\/18 - 8*h**3\/27 - 2917. Factor a(n).\nAnswer: -2*n**2*(n + 1)*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1 + 0.2. Let r = 1.5 - -5.5. Let a = r - 4. Is h greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 72396990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -99 - 16. Let t = -9 - -53. Let f = t - d. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-14)\/6)\/(14\/(-12)). Suppose 3*y - 740 = -4*t, -d*y + 3*t = -y - 225. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = t + 4*c + 28, -2*t + 3*c - 12 = 0. Let k = t - -15. Suppose 0 = -k*i + 6. What is the lowest common multiple of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -1c8eb?\nAnswer: -1c8eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a374 + -5?\nAnswer: -a379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, t: 4, q: 2, f: 2, r: 7}. What is prob of sequence frq?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 5*o + 8 = 338, 2*h - 370 = -5*o. Suppose 3*y = 16 - h. What is the units digit of (y\/2 - -2)*-10 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + -110010000100101010?\nAnswer: -110010000100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-146)\/(-6) + -1)*3. Let t(s) = -s**2 + 2050*s + 28. Let j be t(0). What is the greatest common divisor of i and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - 2) + -4 + 7. Put 6, g, -4 in descending order.\nAnswer: 6, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (333\/(-1628))\/(-2*6\/(-32))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000010123 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 1. Let i(c) = -22*c + 1. Let p(a) = i(a) - 2*w(a). Let l be p(-1). Suppose 2*v = -v + l. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1807 (base 9) in base 15?\nAnswer: -624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**3\/15 + 1698*k**2\/5 - 3398*k\/5 + 5098\/15.\nAnswer: 2*(k - 1)**2*(k + 2549)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nqqy when four letters picked without replacement from nzaqyqu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -8*i + 7. Let s(w) = -3*w**2 + 319*w - 95. Let o be s(106). Suppose 0 = -5*h, 0*h + 4 = g - 2*h. Let t(x) = 23*x - 20. Calculate g*t(k) + o*d(k).\nAnswer: 4*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -83, -140, -197, -254, -311, -368?\n\"Answer: -57*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/57 in 1068, -157, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9328967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -7\/5, -0.1, -16\/9, -1.\nAnswer: -16\/9, -7\/5, -1, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 95876 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, e: 6, l: 4}. Give prob of picking 1 d and 1 l.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 2 - 30. Let r be 4\/(-40)*-5*s. Are 0.2 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of x**6\/36 - x**5\/10 + x**4\/12 + 2*x**3\/3 - 1. Let y(o) be the third derivative of b(o). Factor y(p).\nAnswer: 2*(p - 1)*(5*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 673 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1dde - dc2?\nAnswer: 101c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2151*w**2 + 334*w**2 - 811*w**2.\nAnswer: -2628*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvvnvv. Give prob of sequence nnnv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**3 + 6*u**2 + 2*u + 7. Let v be y(-5). Suppose k + d - 6 = v, -2*d + 23 = k. What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(475) - (sqrt(475) - sqrt(475)*-2))*3 + 1 + sqrt(475) + -1)*-1)**2.\nAnswer: 59375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -5*r + 153, -148 = -2*w - 2*w - 4*r. What is the remainder when w is divided by 1 + -1 + -3 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 15*n**3 - 3*n**2 + 4*n - 2. Suppose -2*h - 5*t + 17 = -9, -3*h = 2*t - 17. Suppose 8*y - 19 = -h. Does 38 divide l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 80509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 33189268 a multiple of 2164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) 18  (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 3*j - j)*(1 + 1 - 1 - 3 + 3 + 2 + (-2 + 5 - 1)*(1 + 0 + 1) + 0 + 2 - 3 - 1 + 4 - 4 - 2 + 3 + 1)*(-55 - 66 + 6)*(9*j + 4*j**2 - 9*j).\nAnswer: -9660*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 9*k**2 + 9*k + 9. Let z be (-426)\/168*-4 + (-3)\/21. What is g(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(154\/189))\/(285\/(-48640)). Determine m, given that 192\/11*m - 2\/11*m**2 - l = 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 497 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**10*z**(2\/21) assuming z is positive.\nAnswer: z**(212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**13)\/a**10)\/((a*a**(3\/10)*a)\/(a*a**(-5))) assuming a is positive.\nAnswer: a**(-283\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*t - 14 = -112 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 - -57. Let u be ((-8)\/n)\/(2\/(-5)). Let j = 3 - 6. What is the biggest value in j, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.32 and 1448.99?\nAnswer: 463.6768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 + -580. Suppose 0 = -162*m + 160*m - 1144. Are m and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-435)\/(-21) + 4\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 151 - -21?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 4*d + 15 = 0. Suppose -2*k + 8 = 2*k. Suppose -3*u - d = -k*u. Which is smaller: -6 or u?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (8 - (4 + (1 - 2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -6. Suppose 2*c = -7*f + 3*f + 22, 3*c = 4*f - 17. Suppose c = 2*h - 3. Solve -4*p - z = 2*i + h, p = -4*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 91722.35 litres?\nAnswer: 91722350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 + 2 + -2)\/(14\/(-21)). Suppose -10*u = -9*u + a. Let p be u - (-2 - -3 - 0). Sort -8, p, -1 in increasing order.\nAnswer: -8, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 184 = -2*c, 4*n - 629 - 99 = 4*c. What is the lowest common multiple of 204 and n?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 + 1\/5*z**3 - 1 - 1\/5*z.\nAnswer: (z - 1)*(z + 1)*(z + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2990*g + 17990. Calculate u(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -250*q**4 + 16*q**3 + q**2 - q - 80 wrt q.\nAnswer: -6000*q + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 10*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1641389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -411 + 415. Sort 0.6, -5, u in increasing order.\nAnswer: -5, 0.6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1782*d = 1795*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 57329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 23*y + 111. Let f be 1450\/(-20)*(-4)\/10. Is j(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -8*p**2 + 9*p - 9. Let s be z(3). Let c = s + 58. Solve -c*v + 3*v = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/((w*w*w*w**(2\/49))\/w)*w*((w*w**9)\/w)\/w assuming w is positive.\nAnswer: w**(390\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 3) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -0.022991\nAnswer: 0.0068973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -64 - -66. Let z(r) = q*r - r - 173 + 164. Let w be z(12). Solve -l = -w*u + 16, -2*u - 8 = -4*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 8\/5, -0.4 in decreasing order.\nAnswer: 8\/5, 0.07, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 56, 1007, 2594, 4817, 7676, 11171, 15302?\n\"Answer: 318*i**2 - 3*i - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*v - 3 + 3 - 15*v - 30*v**2.\nAnswer: -30*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-2*(sqrt(432) - (1 + sqrt(432))))**2 - (3*sqrt(162))\/(sqrt(72)\/(sqrt(36)\/sqrt(3))).\nAnswer: -9*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqcqgqqcc. Give prob of sequence cqq.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 45535 (base 8) in base 2?\nAnswer: 100101101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 4:26 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0767141 + -0.07587. Round s to 5 decimal places.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-13)*n**(-15)\/n)**(20\/7) assuming n is positive.\nAnswer: n**(-580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 278.9321 litres in millilitres?\nAnswer: 278932.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -46.43038 rounded to two decimal places?\nAnswer: -46.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1210 - 1127.1. Let x = -76.4 - 6.6. Let m = x + u. What is the second smallest value in -4, m, -5\/2, -0.4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2045*i + 4*r - 4 = -2047*i, -5*i - 4*r = 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 + -128 - (-6 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**3 + 26*t**2 + 20*t + 10. Let k be a(-12). What is the highest common factor of 4118 and k?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((17316\/(-48))\/13)\/(((-108)\/(-48))\/(-3))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 141*n**2*u - 49*n**2 - 2*n wrt u.\nAnswer: 141*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of 2*m**3 - 413*m - 1. Let a(n) = -8*n**2. Determine k(a(w)).\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -70*q - 8501. What is l(-95)?\nAnswer: -1851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -3*b - 74. Let y be 11\/(-66) + 2\/b. Which is greater: -0.3 or y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -0*w - 2*w. Let r = 7 + w. Let k(o) = -o + 5. Let d be k(0). Solve d = r*x + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -1213, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/59  (b) -1\/8  (c) 3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2847*n**6 - 1004*n**2.\nAnswer: -341640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*d + 151 = 63 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**4 + 10*j**4 - j**4 + (-21*j**2 - 34 + 34)*(j + 2*j**2 - j) to the form f*j**2 + d*j**4 + m*j + x*j**3 + g and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2080172?\nAnswer: 2, 520043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21.4 - -20.4. What is the smallest value in -0.3, z, 3\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 10*l**2 + 11*l - 190. Determine f(6).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 7*m**2 + 9*m - 4. Let d be k(8). Solve 3*l = d*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1987326 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 4*t - 24. Determine h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**2 + n**2 + 0*n**2)*(-n - 1 + 1) + 2 + n**3 - 1 - 3*n**3.\nAnswer: -4*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -250920390 * 1\nAnswer: -250920390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 27*y**3 - 7*y**2 + 6*y - 9. Suppose 3*h - 173 = -158. Is t(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) -13.1  (c) -4  (d) -2  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 4:46 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6097 - -6096.5. What is the closest to 2 in 51, 2\/3, g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17503610827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 22 = 4*k. Let w(j) be the second derivative of -1\/2*j**3 + 1\/3*j**4 + 0*j**k + 0 + j. What is the second derivative of w(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-54)\/99)\/(-6) + (-23 - 19614\/(-231))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 4*s - 19. Let z = s + -7. Solve -2*o + 9 = -3*i, -o + 1 - z = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2108 divided by -3117\nAnswer: -2108\/3117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (18\/4)\/(3\/18). Let i = -23 + n. Suppose 0 = 5*u - i*u. Solve u = -0*w - 5*w - l - 18, -3*w = 3*l + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 3\/8, 3\/14 in descending order.\nAnswer: 3\/8, 3\/14, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -1a057?\nAnswer: -1a055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*l - 11*l + 27*l + (2 - 1 + 1)*(0*l - 4*l + 2*l) + l - l + l as m*l + t and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 5:47 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/1 - (80 + -87).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 + 139. Let s = d + -120. Solve 2 = i + s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 114336438 divided by -6\nAnswer: -19056073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35 and 289908913?\nAnswer: 1449544565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 9. Suppose -3*y + 2*y - 230 = -w*l, l = -y + 115. Let x = -58 - -87. What is the remainder when l is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.784 + -3.216. Let w(c) = c**2 + c - 1. Let p be w(0). Put 0.3, -0.3, k, p in increasing order.\nAnswer: k, p, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**4 + 3072*i**3 - 6154*i**2 - 3072*i + 6152 = 0. Calculate i.\nAnswer: -1538, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 24227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -6157.69 - -5804.405?\nAnswer: -353.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/(a*a\/(((a\/a**(-5))\/a)\/a)))\/(a\/(a*a**(-1\/8))))\/((a*a\/a**(2\/7)*a*a)\/a)**50)**(8\/5))**(2\/9) assuming a is positive.\nAnswer: a**(-14878\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 319723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 - 5*i**2 + 4. Let h be y(-5). Let m = 659\/7980 + -7\/76. Let k = m - 523\/210. Which is the smallest value?  (a) h  (b) 0.1  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8620*b = 1261*b + 16712 + 736447 + 41613 for b.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-3\/2)\/j)\/j**(-1))\/(j**(-2\/5))**33 assuming j is positive.\nAnswer: j**(127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s + 3*a + 10, a = 2*a + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -288808 (base 9) to base 2.\nAnswer: -101011001110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5325*3927.\nAnswer: -20911275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/61 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -m**2\/2 - 2*m + 35. Let w(v) = -v**2 + 5*v. Let y be w(3). Give o(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12111222 (base 3) to base 16\nAnswer: -fb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*y + 3 = -42*y + 2*n, 0 = 2*y - 2*n. What is the units digit of y*6 + (-61938)\/(-54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38628751 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.7729 and 0.7.\nAnswer: -1.24103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1385 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 22 = -5*k + 57, -w = 5. Let r(x) = 14*x**2 + x. Let b be r(-1). Let g(p) = -k*p**2 - b*p**2 + 20*p**2. Let f(j) = -2*j. Calculate g(f(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - -2 - (-25 + 39) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -376986*k**2 - 7*k + 130843 wrt k.\nAnswer: -753972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2778 and -0.05?\nAnswer: -138.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) -2\/5  (c) -0.5  (d) 3  (e) 10632  (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1, 11 in descending order.\nAnswer: 11, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 246 = -4*g, 0*g - 51 = -g - 5*q. Let h = 71 - 79. Let k = h + g. What are the prime factors of k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.7240081 rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -324.93279 to one dp.\nAnswer: -324.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3*v**3 - 5*v - 7. Let c(w) = -6*w**3 - 4*w**3 + 8*w + 4*w**3 + w**3 + 11. Determine -5*c(d) - 8*n(d).\nAnswer: d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/4827?\nAnswer: 2\/4827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 89483460 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 514039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, i: 3, z: 1, m: 1}. Give prob of picking 2 g and 1 m.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = 5*c + 26*s + 20 + 6, c + 9 = -5*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + r**3 + 14 - r**2 + 7 - 3*r**3 to v*r + x + q*r**3 + i*r**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o + 4. Let k be x(1). Solve -2*g + 3*b = 11, -k*g - b = -0*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 4*y + 15. Let p(r) = 7*r + 26. Suppose -78 - 72 = -25*n. Let t(k) = n*p(k) - 11*i(k). Calculate t(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b**2\/5 - 384*b\/5 = 0. Calculate b.\nAnswer: 0, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-27)*18\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lgllghhl. Give prob of picking 2 h and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -236 - -242. Solve -16 = -5*u - b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2033*w - 45 = -5*c + 2039*w, -2*c + 5*w + 44 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 13.77. Let k = -0.13 - s. Which is the nearest to 1\/2?  (a) k  (b) 0.3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 83.81 + -72.81. Let a = 23\/2 - 12. What is the second biggest value in -4, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -3*c**2 + 2*c + 28. Let z(k) = -3*k**2 + 3*k + 29. Let p(d) = 3*i(d) - 4*z(d). Is p(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -50 + 40. Let o(i) = 1 - 3*i**2 + 5*i**2 + 9 + 15*i. Is 30 a factor of o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y**2 - 3. Let l(v) = -1 - 5*v**2 + 2*v**2 + 2*v**2. Let c(m) = j(m) - 3*l(m). Determine q so that c(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 + 2.8. Let t be ((-2)\/5)\/(27\/810). Let o be (4\/t)\/(-1) + (-20)\/48. Which is the fourth smallest value?  (a) -0.4  (b) n  (c) o  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4691, 4686, 4667, 4628, 4563, 4466?\nAnswer: 4331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/1068 and 67\/180?\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d + 23. Let j be q(-5). Solve 107*f - 114*f = j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -640, 4, 0, 8 in ascending order.\nAnswer: -640, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20095133.\nAnswer: 20095133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1457459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.041, 0.1, 0.03, 6, 3\/7 in descending order.\nAnswer: 6, 3\/7, 0.1, 0.03, -0.041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500) + 1 + sqrt(500) - sqrt(500)) + 0)**2*-4 + (0 + sqrt(5))*-5 + (-3*sqrt(5)*-3)**2.\nAnswer: -1599 - 85*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.31 to 0 decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -83, -243, -545, -1019, -1695?\n\"Answer: -5*q**3 - 41*q**2 - 2*q - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.062 + -6.162. Let k = 6 + h. Let g = -1 + 0. What is the closest to g in -2\/3, k, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 87*t + 30. Let n be o(12). Suppose d - 475 = -3*s + 170, 2*d = -5*s + n. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 707 * -11.2\nAnswer: -7918.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pokkgaa. Give prob of sequence gko.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2*sqrt(76) + -5 + -4) - (-3 + (sqrt(76)*2*-4 - (sqrt(76) + ((sqrt(76)*1 + sqrt(76))*6)**2))).\nAnswer: 22*sqrt(19) + 10938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**2 + 2*q**2 - q**2)*(2*q**3 + 3*q**2 - 3*q**2) - q**5 - q**5 + 4*q**5 + (31*q - 13*q + 33*q)*(q**4 + 5*q**4 - 2*q**4).\nAnswer: 202*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(3\/168 + 0). What is the greatest common factor of 21 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 - -74\/5. What is the second smallest value in 1\/9, 3\/5, v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*h - 30*h - 12. Suppose -60 + h = -q. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hssspwsi. What is prob of sequence pws?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 AM and 1:59 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 10. Suppose -5*x - 2*k + 3167 = 0, -20 = 5*k - n*k. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21 - 15. Let l = f - 3. Let d be (-2)\/10 - (2 + (-33)\/15). Solve d = 4*x - l*x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-8)\/(-84)*-3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 21*f**2 + 30*f + 136. Calculate the remainder when 1538 is divided by x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) 0.08  (c) -5  (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -48 - -946. Suppose 4*q - 5*q = -3*j - z, -3*j = -2*q + 1787. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*v + 1 - 1)*(-20*v - 12*v + 14*v).\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -694*h**5 + 1003*h**3 + 9*h**2 + 2*h + 833 wrt h.\nAnswer: -41640*h**2 + 6018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*i - 84 = -7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -771*s - 33600 = 474*s + 155*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 24 = -7*q + 5*q, -j - q = -29. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -92, -133, -192, -269, -364, -477?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -654*z**3 - 1352*z - 1248*z**2 + 364*z**3 + 392*z**3 - 2*z**4 = 0.\nAnswer: -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10c (base 15) to base 14.\nAnswer: 12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.49 - -0.39. Let y = f - -4. What is the fourth smallest value in -0.3, y, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 130131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 5*o**2 - 3*o. Let a be r(4). What is the remainder when (22\/(-1))\/(a\/(-8)) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1071 = -p + 439. Let g be 1\/3*p\/(-770). Let l = g + -1\/77. Which is the closest to -3?  (a) l  (b) 1\/4  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**2 + k. Let w(o) = -3*o**2 + 463*o - 53824. Let l(t) = w(t) + z(t). Suppose l(g) = 0. Calculate g.\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 326 = 3*n + 37, -n - 90 = -w. Suppose l = 4*l - w. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + -4 + 3 - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 828.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 58013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 2\/3  (b) 5  (c) -0.01  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 132 and 1547502?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2936\/55 - -266\/5. Let l(x) = -x**2 + 4*x + 6. Let k be l(5). Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 33811 + -16762. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7056 = -508*r + 340*r. Solve -76*s = -r*s + 204 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 33776 and 6928.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16305 + 33455. Let x = 308575\/18 - n. What is the common denominator of (-17)\/(-16) - (6 - 10 - -3) and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 25*q - 120. Let o be d(5). Solve -o*f - 4*g = -3, -3*g + 5 = -f - g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -347736 <= -347738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 10747616300 to the nearest 1000000.\nAnswer: 10748000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 81802271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -474.7 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 21 = 17*a, 9*a - 4*a + 2*s - 141 + 150 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1925 - 1925 + 54*w.\nAnswer: 54*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 329753*o**3 - 2*o**2 - 409505 wrt o.\nAnswer: 1978518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 AM and 5:50 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28 and 7 + 182 - (13 - 4).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d\/(d*d*d**(2\/49)\/d))\/d)**50 assuming d is positive.\nAnswer: d**(-100\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/10768122 and 95\/28714992.\nAnswer: 86144976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/1622 in -3\/4, 6\/11, 2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58385, 116773, 175161?\nAnswer: 233549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + p + 3*z = 7477, -5*p + 7482 = -2*z. Suppose 7*d - 2753 - p = 0. What are the prime factors of d?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 2*k - 3*m - 39, -2*m = 6. Let q(v) = -v**3 - 4*v**2 + v. Let s be q(-4). Let u = s - -6. Solve 3*a - a = -4*g - k, 0 = -u*a + 3*g + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x - 50 = -834. What is the greatest common factor of 42 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00415199729 rounded to four dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3\/281 - 547\/1405. Which is the closest to 0?  (a) 1\/4  (b) -16  (c) s  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/36)\/(4\/(-6)). Let z be (-85)\/44 - 5\/20 - -2. Which is the fourth biggest value?  (a) z  (b) 4  (c) t  (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10563 (base 10) in base 13?\nAnswer: 4a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*d - 12 = -46*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -153406 - 153394 + 29*a + 306800.\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 - (-28 + -4 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 104418655*c**2 + 45787067*c - 4 wrt c?\nAnswer: 208837310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of -7*f**5\/20 + 13*f**2. Let r(u) be the third derivative of -u**5\/30 - 45*u**2. Determine r(i(m)).\nAnswer: -882*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 303 a factor of 972069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2852 divided by -3.\nAnswer: 2852\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -12590 and 0.2.\nAnswer: -12589.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-21980)\/14696 - (6\/(-14))\/(18\/63) and 53\/22.\nAnswer: 3674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 593.204 + -1.204. Let p = u + -592. Which is the smallest value?  (a) -67  (b) 0.2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/4)\/a)\/(a\/(a**(1\/4)*a)))\/(a**(2\/7)\/a**(2\/3)) assuming a is positive.\nAnswer: a**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -102243859 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -3*p**2 - 7*p + 1. Let x(j) = j**2 + j - 1. Let q(n) = i(n) + 4*x(n). Calculate the least common multiple of 8 and q(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -266*o**2 - 31386*o + 243. What is j(-118)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 371.8169899 to zero dps.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + i + 282. Suppose -2*r - r + 240 = 5*k, 3*k = r - i. Suppose 4*w - r = -9. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*f = -21*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 6*h + 15. Let x(u) be the first derivative of 3*u**2\/2 + 8*u - 2509. What is -3*f(b) + 5*x(b)?\nAnswer: -3*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007824 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 153373980 a multiple of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -10*a**2 + 27*a + 38. Let f(x) = 10*x**2 - 20*x - 39. Calculate 4*f(b) + 3*s(b).\nAnswer: 10*b**2 + b - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.7 - 6.787?\nAnswer: -9.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 18352349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.022?  (a) 584  (b) -1  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14191369 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 7*m**3 - 9*m**2 - 8*m. Let k(x) = 3*x**3 - 4*x**2 - 4*x. Calculate 5*k(a) - 2*l(a).\nAnswer: a**3 - 2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -74 + 404. Suppose -t = 2*q - q. Let r = 161 + q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of -1\/180*m**6 + 0*m**3 + 3*m**2 + 1\/945*m**7 + 1\/90*m**5 + 0 + 0*m - 1\/108*m**4. Determine f, given that c(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 24*b**5 + 2649*b**4 + 2577*b**3 - 5250*b**2 = 0.\nAnswer: -875\/8, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -27239, -27249, -27249, -27239, -27219, -27189, -27149?\n\"Answer: 5*b**2 - 25*b - 27219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -797.11 - -809. Let z = p + 0.11. Do z and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from amjg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 2  (b) -2  (c) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (6 + -2 + 2)) + 11 - -30.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of -v**4\/4 + 2*v**3\/3 + 20*v**2 - 16*v + 61. What are the prime factors of f(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g = 15*g - 720. Calculate the highest common divisor of g and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 18*d**2 - 31*d - 221. Determine g(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-35)*v**(-1\/52)\/v assuming v is positive.\nAnswer: v**(-1873\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.083*-895\nAnswer: -74.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 875077298?\nAnswer: 2, 149, 1399, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 252\/(-54) + (-21)\/((-504)\/(-824)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.85554 - 50.2?\nAnswer: -10.34446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10989 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -10.332.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27\/8 or 8.428?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*r - 4*r + 4*r - 5*r + 3*r**3 - 5*r to l*r + d*r**3 + w + n*r**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9496\/9 or 1?\nAnswer: 9496\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 4*j**3 - 3*j**2 + 6*j + 2. Let a(u) = 3*u**3 - 3*u**2 + 5*u + 1. Let m(h) = -6*a(h) + 4*t(h). Factor m(s).\nAnswer: -2*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 17 = 5*o, 0 = 6*t - 2*t - o + 1. Let d be (-30 + (t - -1))\/((-3)\/4). Let i = d + -34. What is the lowest common multiple of i and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -36*r + 39*r. Suppose r*x = 7*x - 20. What is the third derivative of 11*a**4 + 14*a**x - 31*a**2 - a**2 + 3*a**2 wrt a?\nAnswer: 600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 5*c + 20 = 0, -2*h + 3*c = 6*c + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 884 - 992. Is -113 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + c. Let m(u) = u**2 + u - 543. Let q(v) = -2*h(v) - m(v). Is q(0) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*o + g + 52 = 0, -2*o + 2*g = -4*o + 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(880)*3 + (sqrt(55) - (sqrt(495) + sqrt(495)*-3)\/sqrt(9)))\/(4*sqrt(5)*2 - (sqrt(15)\/(sqrt(3)*-3) + sqrt(5))))**2.\nAnswer: 2025\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/p**(-1\/5))\/(p**11\/p*p)*((p*p**(-2)\/p)\/p*p)**(2\/37))**43)**(-12\/11) assuming p is positive.\nAnswer: p**(945828\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 35598\/(-1275) - (-6)\/(-75)*1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -a**3*w + 4759*a**2*w + 3*a*w + 2*a + 19*w + 1 wrt a.\nAnswer: -6*a*w + 9518*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/9576 and 173\/223986.\nAnswer: 51068808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 14 + 178 + -214.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 88*m + 6 + 13*m**2 + 39 + m - 7*m**2 - 3*m**2. Determine k(-29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 8797156*g**3\/3 - 8518352*g**2\/3 - 276595*g\/3 - 2209\/3 = 0. Calculate g.\nAnswer: -47\/2966, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 117476, 234953, 352430, 469907, 587384, 704861?\nAnswer: 822338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + (-1 - -1)\/1)\/2. Let n(s) = s**3 + s + 17. Give n(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2563*d - 4731*d - 4745*d + 12037*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19146, 19178, 19212, 19248, 19286, 19326?\nAnswer: 19368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9462.\nAnswer: 2, 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (47\/235)\/((-3)\/60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**9*y\/y**7)\/((y**(4\/5)*y*y)\/y*y*y\/y**1))\/((y**(-3\/7))**(-30\/11))**(-34) assuming y is positive.\nAnswer: y**(15762\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*v = 67*v. Suppose v = -5*n - 5, 8 = 5*h + 4*n - 7*n. Let u = 6.2 + -1.2. Which is the second biggest value?  (a) h  (b) u  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = -2*n - 26, -4*b = -3*n - 9 - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -145*n**2 + 9 + 13 - 22 to f*n + c + z*n**2 and give z.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j\/j**(-7))*j**(-2))**(-7\/9)\/(j**(-6)\/(j\/(((j\/(j*j\/((j*((j**(2\/13)\/j)\/j*j)\/j)\/j)*j))\/j)\/j)))**(2\/3) assuming j is positive.\nAnswer: j**(1912\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6.764486 centuries?\nAnswer: 676.4486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.40816 + 0.10816. Which is the fourth biggest value?  (a) 3  (b) -10  (c) 20  (d) v  (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-10) + 1*(-2)\/(-5). Does 16 divide (128 - l)*(-6)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26603 divided by 937?\nAnswer: 26603\/937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-41)\/((-246)\/3474))\/(3\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 - 12*t + 19. Let s be b(10). Let w(j) = -11*j + 11*j + 86 - 30*j**2 - 87. Calculate w(s).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - y + 4. Let o(s) = -s**2 + 4*s - 3. Let j be o(3). Suppose 4*x + j*h + 4*h = 52, x + 2*h = 18. Calculate the greatest common factor of x and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 123 + -48. Suppose 4*h = 5*h - 3*g + d, 0 = h + 3*g + 45. Let r be 4\/22 + h\/(-33). Solve 0 = -4*z - v - r*v - 31, -v = 5*z + 25 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254618*b = 254729*b + 5994 for b.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -32*x**4 - 2. Suppose -3*h - 3*b = 2 - 5, 3*h + b = 3. Let n(q) = -q**4 - 1. Let j(c) = h*a(c) - 12*n(c). Differentiate j(z) with respect to z.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, g: 1, l: 2, n: 2, z: 2}. Give prob of picking 1 w and 2 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 - 7. Which is the closest to 2?  (a) -4  (b) k  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8*2\/6*3. Let j(h) = -h**2 - 2*h - 1. Let i be j(-6). Let x = i + 45. What is the highest common divisor of x and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 296 - 2*l + 288 - 575. Calculate f(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 547506836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(95)*1 + (sqrt(95)*2 - sqrt(95))*-2)\/(sqrt(720)*-1 - -2*sqrt(245)) + 5.\nAnswer: 5 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - y**2 + 2*y - 2. Let m be w(2). Let r(o) = -o**3 + 6*o**2 + o - 1. Let t be r(m). What is the highest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooobb. Give prob of picking 2 b and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 424437646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7492*z + 25*z**2 + 9*z**2 - 35*z**2 + z**3.\nAnswer: z**3 - z**2 + 7492*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 2*k**5\/11 - 14*k**4\/11 + 20*k**3\/11 = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -798980.\nAnswer: 319592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -22*s**3 + 12*s - 12. Let p(d) = -46*d - 5 - 13*d**2 - 9*d**3 + 51*d + 13*d**2. What is 12*p(i) - 5*x(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5101\/3639 + -83\/1213. Suppose -z*x + 4\/9*x**2 - 16\/9 = 0. What is x?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 49601 and 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the third derivative of 15*w**4\/8 - 511*w**2 - 6. Let a(n) = -11*n. Calculate b(a(p)).\nAnswer: -495*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j + 10*j + 3*n - 5 = 0, -2*n = 5*j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 18.2 and -3288.\nAnswer: -3269.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of -603*a**4\/4 + a**3\/3 - 5*a**2 - 19*a + 62. Is v(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 32\/5 of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of -7\/2*j**2 + 0 + 1\/12*j**4 - j - j**3. Let o be c(7). Solve 2*n - h + 8 = 2, 5*n + 4*h + 28 = o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30563*f - 3*f**3 + 30563*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3005 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -739722 (base 13) in base 3?\nAnswer: -12002110112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/4*(-7 + -5377). Let r = 4787 + j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 5*a - 151 + 149, -2*a + 175 - 191 = -b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + z + z - 666 = 0, v - 126 = -4*z. Let k = 12 - v. Are -121 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*(1\/(-2))\/(-1). Suppose 0 = 5*f - 175 + 200. Sort 7, a, f in decreasing order.\nAnswer: 7, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, d: 6, i: 1, n: 3, j: 1, z: 2}. Give prob of picking 1 n, 1 l, and 1 j.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, e: 7, u: 1, w: 5}. What is prob of sequence cc?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 54 + -48. Solve -o = -7*o + p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -10*v - 12. Let d(o) = -21*o - 23. Let h be -4 - 1*(-8)\/(-4). Let w(j) = h*d(j) + 13*a(j). Calculate the smallest common multiple of w(-10) and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*b = 9*t - 17*b - 288, -2*t + 54 = -b. Calculate the remainder when 163 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 301, 1185, 2657, 4717?\nAnswer: 7365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 14715, 58885, 132487, 235509, 367939?\n\"Answer: -2*m**3 + 14728*m**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 159*((-2)\/(-18))\/(345\/(-1035))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -400*v**3 + v**2 - 49*v - 48. What is u(-1)?\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o - 592*k + 597*k - 25, -20 = -4*o - k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -7 * -0.39\nAnswer: 2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 3\/2  (c) 1\/1443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2094667660?\nAnswer: 2, 5, 104733383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 2 + -8 + (-5 - -19 - -9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/(-15))\/(10\/25). Let b = g + 100. Let s = -307\/3 + b. Put s, 3\/2, -5 in descending order.\nAnswer: 3\/2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1040, 5, -2, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.08*89.\nAnswer: -7.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j + 22. Let v be w(16). Suppose v*z = 16 + 8. Suppose 82 = -2*x + z*x. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**4\/17 + 48*u**3\/17 + 54*u**2\/17 - 100*u\/17 = 0. Calculate u.\nAnswer: -2, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -5375084.4 to the nearest 10000.\nAnswer: -5380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1866 + -1865.9999999268. Round q to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*j - 3*q = -37*j - 16, 3*j - 13 = -4*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 12, 18, 0.3, 3\/4.\nAnswer: -0.2, 0.3, 3\/4, 12, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1072 is divided by 121?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**1)**(1\/35)*(v*v\/((v\/v**(-4)*v)\/v)*v)\/v**(-3) assuming v is positive.\nAnswer: v**(38\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 471 and 1661845?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 - 19. Suppose -n*m = -17*m + 90. Calculate the remainder when 21 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2. Let a(b) be the first derivative of -b**3 - 9*b**2\/2 - 73*b - 90. Let z(y) = y**2 + 2*y + 18. Let x(j) = -2*a(j) - 9*z(j). Calculate p(x(t)).\nAnswer: -9*t**4 - 96*t**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25029 + -25052.002. Let u = -0.002 - g. Let x = u - 22.982. Round x to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/(-6)*(7 - -2). Let b be (-3 - 0)*20\/r. Let g(f) = -15*f - 10. Let v be g(-1). Put b, v, -3 in ascending order.\nAnswer: -3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 22 = 4*g, -4*g + 17 = -3*f - 0*f. Let o(z) = 2*z**2 - z. What is o(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 4 + (-3 + 1 + 0)*(-3 + 2 + 2))*(j - j + 5*j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-27)*2679 + (-2)\/9. Is (-125361)\/(-33) - (-18)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21*86\/(-4515))\/((-13)\/(65\/132))?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z + 2 - 7 + 0*z - 2*z**3 to the form h*z**3 + i + n*z + d*z**2 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 259 - 782 + 265 + 258 - 16*h**3.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -9724, -19449, -29174, -38899, -48624?\n\"Answer: -9725*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.6601 + -0.0301. Let j = 18.63 - f. What is the fourth smallest value in 0.2, 0, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 47.8623 - 0.117\nAnswer: 47.7453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (195\/(-3575))\/((-2)\/(-20))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12158129141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 317 and 213869756.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 23727 and 23727 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (0 + (sqrt(931) + 1*sqrt(931) - sqrt(931)) + -3 + ((0 + sqrt(931))*-1 - (5 + sqrt(931) + sqrt(931)*1)))**2)*-6*-3.\nAnswer: 4032*sqrt(19) + 68148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, g: 1, w: 1, o: 2, z: 1}. What is prob of sequence wyz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -68 + 68.033. Let n = -0.177 - c. Let q = 0.11 + n. Is 2 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*9\/((-27)\/6). Let x be 2\/13 - (-693)\/143. Factor x*w - 3*w**3 - 11 - 2*w + 8 + 5*w**2 - i*w**2.\nAnswer: -3*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -28353.23 to the nearest one hundred.\nAnswer: -28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.3 - 1.2. Let a = o + 0. What is the closest to a in -4\/7, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.06 and -27.0868.\nAnswer: 1.625208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 54971 rounded to the nearest one hundred?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9615298 is divided by 534176?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*d + 68*d**2 + 21*d - 33*d to the form a*d + r*d**2 + t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 27 + 2 + (8 - 18)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 801 by -7.\nAnswer: -801\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 + 8*c**2 - 4*c + 20. Let k be r(6). Let s = k - 289. Suppose 4*j - s = -39. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.155, 1, -0.4, 0 in descending order.\nAnswer: 1, 0.155, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is n in n**4\/3 + 22*n**3\/3 + 35*n**2 - 500*n\/3 - 3500\/3 = 0?\nAnswer: -10, -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -3319.03, -3\/8 in descending order.\nAnswer: 7, -3\/8, -3319.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(432) + 5)**2 + sqrt(432).\nAnswer: 132*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 510560 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: Solve 18 - 28 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 AM and 9:35 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13007724?\nAnswer: 2, 3, 31, 73, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/83, -91, -0.2, -3, -136 in descending order.\nAnswer: 2\/83, -0.2, -3, -91, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -6. Suppose -4*f - 4 = -2*b - 2*f, -b - f + 2 = j. Suppose -5*n + 2*k = -22, 0 = -0*n - 3*n - 5*k + 7. Put n, b, -4 in descending order.\nAnswer: n, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3038 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.014767188794 to 4 decimal places.\nAnswer: 0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3 = -6. Solve 323*t**2 + t - u*t + t - 322*t**2 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 PM and 10:58 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11042*c**5 - 2*c**3 + 163603*c**2.\nAnswer: 662520*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 593921.\nAnswer: 19, 31259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*d - 686 + d**3 - 2*d**2 + 684 - 3*d**3 as n*d**2 + q*d + r*d**3 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -6*p - 74. What is the lowest common multiple of s(-19) and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -85*b**2 + 4*b - 4. Let a(k) = 340*k**2 - 15*k + 15. Determine 4*a(h) + 15*i(h).\nAnswer: 85*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 4. Let z = -87 - -695\/8. Sort -0.5, q, z in increasing order.\nAnswer: -0.5, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/76 - (-1330)\/1083)*(770\/20 + 2).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.5, -5, 6\/5, -2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -12*x - 8 + 5, 13 = 3*p + 4*x. Solve -p = -2*f - o - 6, 3*o + 6 = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 8351  (b) -2679  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -22.3727 to two dps.\nAnswer: -22.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, u: 6, v: 8, c: 1, w: 2, g: 1}. Give prob of picking 2 w.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -37*y**2 + 3*y - 3. Let h be x(2). Let v = -102 - h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -3, -11\/21, -537 in decreasing order.\nAnswer: -1\/7, -11\/21, -3, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 8126.\nAnswer: 16252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of 8*g**3 + 63*g**2\/2 - 15*g - 21. Let b(x) be the first derivative of m(x). Differentiate b(l) wrt l.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*(-15)\/(-6)*(-136)\/170. Let g = 6 + 2. Suppose g = -2*d - 3*z - 0, -5*z = 0. Sort 3, d, l in decreasing order.\nAnswer: l, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*h + 28*h + 8*h.\nAnswer: 51*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.05926 + -105.05926. Which is the biggest value?  (a) 10  (b) f  (c) 3  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 5*h - 35 = 5*s, 12 = -3*s. Suppose h*k - 15 - 30 = 0. List the prime factors of 7\/14 + k\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1702 and 4.\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2410131124 (base 5) in base 10?\nAnswer: 5552039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4479356?\nAnswer: 2, 7, 159977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (8 + -5 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2475 + 7110?\nAnswer: 9585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3963922883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5874150 is divided by 367134.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/3 + 2814\/3600. Let w = t - -1\/100. What is the closest to 2\/7 in 0.5, -5\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 755 divided by -44760?\nAnswer: -151\/8952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 1)*(2 - 5 - 7)*(5*z - 3*z - 4*z).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v + 4. Suppose -19 - 6 = 5*m. What is the units digit of y(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -11*b**3\/6 - b**2 + b. Let m(y) = 5*y + 1. Let s(i) = -4*i + 1. Let w be s(2). Let p = 3 + w. Calculate p*z(v) - 9*m(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -76 - -83 - (0 + (9 - 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2066*k**3 + 28*k**2 - 26*k - 13. Let h(z) = 1035*z**3 + 13*z**2 - 12*z - 6. Determine 13*h(y) - 6*s(y).\nAnswer: 1059*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 217118 is divided by 72363.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 + t**2 - 3*t - 7. Let i(g) = 2*g**3 + g**2 - 7*g - 14. Let f(b) = 13*d(b) - 6*i(b). Give f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8414, -1\/19, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 327*m - 174*m + 359594 = 172*m. Round m to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 w, and 1 i when three letters picked without replacement from {c: 4, i: 1, v: 1, m: 3, l: 4, w: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w + 6. Let d be s(3). Let z(k) = 0 - 6 + k**3 - k**2 + 8 - d*k. Determine z(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) - (sqrt(1900) - (0 + sqrt(1900))))*-5.\nAnswer: -50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4261, 5106, 5953, 6802, 7653, 8506, 9361?\nAnswer: 10218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 4*z + 17 + 1, -5*h - 2*z = 16. Let s be -1 - -7 - 7 - (2 - 1). Let p be s*h\/(-8)*-434. Round p to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of -5*q**4\/4 - 25*q**3\/3 - 20*q**2 - 20*q + 3. Suppose y(f) = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 758 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 21.88871?\nAnswer: 43.77742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32 - 231000320?\nAnswer: -231001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**2\/(h\/(h\/h**(-15))*h*h) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*k + 22*k + 5*v + 193 = 42, 11 = -v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3\/5660?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of -5*s**2 - 5231*s + 3906. Differentiate y(i) wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 13*n**2 + 66*n - 133. Calculate i(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*i**3 + 33*i**3 - 27*i**3)*(2*i + 3*i - 6*i) + (5*i**3 - i**3 - 2*i**3 + (0 + 0 + 2*i)*(0 + i**2 + 0))*(-17*i - 24*i + 20*i).\nAnswer: -70*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k. Let f(h) = -6*h + 512. Determine b(f(x)).\nAnswer: -6*x + 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + g - 4, 5*k + 2*g + 2 = 7. Let f(y) = -198*y - 589. Let u be f(-3). Solve j - 3 = -k*c + 1, c + 20 = u*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + sqrt(114)*-1)*5)\/sqrt(3))\/(-2*sqrt(98)*3).\nAnswer: -sqrt(19)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = -3*p + 2*p. Suppose 3*d - 9 = 0, 3*d = -3*t - 22 + p. Calculate the least common multiple of ((-48)\/28)\/1*14\/(-4) and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -21*j**2 - j - 275 wrt j.\nAnswer: -42*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -22556 and -86.\nAnswer: 1939816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -21\/37 greater than 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 16815802 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 15730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9049753 is divided by 715?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 188288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 531076 and 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -5. Suppose -2*s = 5*t - 45, 3*t - 64 = -5*s + z. Let v(j) = -11*j - 18. Let o be v(-2). Calculate the greatest common factor of s and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g**2 - 2*g - 2. Let j be c(2). Let f be (2 + -7 - -3) + 1. Sort f, -0.2, j in descending order.\nAnswer: j, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.078?  (a) -4  (b) -3\/8  (c) 0.24  (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-30) - (348\/(-6525))\/(4\/(-290))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 191172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/14 in 0.3, -0.3, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 9*v = -24, -3*y + 3119*v - 3116*v + 24 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19449770519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g + 1 = 4*p + 17, -4 = -5*g + p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the second derivative of f**7\/504 + 53*f**6\/144 + 70*f**4\/3 + 286*f. Let h(u) be the third derivative of z(u). Factor h(m).\nAnswer: 5*m*(m + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + -16. Let y(d) = -7*d**2 + 7*d + 1. Let u(c) = c**2 - c. Let l = 1 + -2. Give l*y(m) + z*u(m).\nAnswer: m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and -187899 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 21872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 + -17. Let u = 0.04 - z. Let g = u - 0.03999946. What is g rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 45. Let s = 138 - 133. Solve 0 = -3*y + 3*b + b + u, y - s*b = 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6182 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11 + -4 + (-3 - -1). Suppose -j*z - 36 = -9*z. Solve -a + 1 = 2*l, 5*a - 5*l - z = -49 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9114.132 millilitres?\nAnswer: 9.114132","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*2*(-1*sqrt(119) + sqrt(119))*-6)\/(-4*-4*sqrt(126)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -113.1 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2124 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k**2 - 2*k + 1. Let y be g(1). Let s be 24 - y*(-1)\/3. Suppose 5*l + s - 68 = 0. Calculate the remainder when 26 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 2*a + 165 = 19*x - 2*a + 282, 0 = -x + 3*a - 3 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 667*r**2 + 49*r + 102. What is the units digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3\/4, -2\/9, -2\/5, -2, -2.547?\nAnswer: -2.547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 2:22 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36445 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.224, -1, -3, 0.5, 0.3 in descending order.\nAnswer: 0.5, 0.3, 0.224, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -33240 * 7\nAnswer: -232680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, 8, 2\/11, -845, 0.5, 1, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 10:00 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ibbbi. What is prob of sequence bbi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.03  (b) -0.4  (c) -3  (d) -73  (e) -1.4  (f) 5501\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -31*x**2 + 30*x - 3414. Let z(p) = 30*p**2 - 26*p + 3407. Let b(l) = 5*c(l) + 6*z(l). What is the derivative of b(i) wrt i?\nAnswer: 50*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g + 8*g + 8035 = 12*g. Is -1604 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -110 + 67. Let q = 43.009 + f. Round q to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50563689.\nAnswer: 3, 11, 223, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -10*g**3 + 7*g - 6. Let t(u) = -19*u**3 + 13*u - 11. Let c = -8 - -14. Let h = 9709 + -9720. What is c*t(j) + h*a(j)?\nAnswer: -4*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2015448, 2015450, 2015452?\n\"Answer: 2*v + 2015446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -42\/41  (b) 4\/23  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -135 + 86. Let a = 2604666583 + -2604666533.99999821. Let o = a + c. What is o rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lb when two letters picked without replacement from zmgbggzzbzbbbgloz?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**3 + 11*x**2 - 26*x**2 + 25*x**2 + 7*x**3.\nAnswer: 8*x**3 + 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 34\/(-10) - 6\/(-15). Let s = d - -6. Solve s = 3*z - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -0.2, 2\/3, 18.18, -5, -3\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 29*x**2 + 3*x - 2. Determine n(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (-5 + -11)) + -16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 0 - 1\/8*g**2 - 63\/8*g = 0.\nAnswer: -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t**2 - 15*t. Let s(z) = -1493*z**2. Determine c(s(k)).\nAnswer: -6687147*k**4 + 22395*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 381 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 + 19 + 22 - 19 - 335*s**3.\nAnswer: -335*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -3*v**2 + 8. Suppose -3*x = -30 + 12. Let s(p) = 4*p**2 - 7. Let g(o) = x*s(o) + 7*h(o). Is g(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5805 + -11570. Let l = k + 9966. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(450\/(-20)))\/((-2)\/5)*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 515*x = -581*x + 19728. What is the smallest common multiple of (2 + 96)\/(2\/10) and x?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 658524 is divided by 94002.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -10*r**2. Let s(g) = 4*g - 56. Let y be s(0). Let x = y + 62. Let f(i) = -3*i - i - 6 + x. Determine f(v(k)).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1152\/405)\/(-4) - 4\/(-36). Let o = -0.6 + -0.3. Let i = -0.4 - o. What is the nearest to 1 in 0.6, i, d?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 307960040 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 20677 - 20084. What is the remainder when c is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37270574 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2 - 3)*(s + 3*s - s) + (20 - 29 - 32)*(s - 3*s + s) in the form v + d*s and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -130*s - 137. Calculate the remainder when r(-4) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29 - -23. Let f(x) = x**2 + 6*x - 1. Let q be f(n). Which is smaller: q or -1\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 minus -3138?\nAnswer: 3138.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 80.231 + -87.2252. Let i = x - -7. Round i to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j**2 + j - 5. Let s(r) = 0 + 9 + 5*r**2 - 15*r + 14*r. Calculate -4*s(k) - 7*x(k).\nAnswer: k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gmgr when four letters picked without replacement from rmgmgugru.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/23 > 5.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 4:42 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -3*p**3\/5 + 611049*p**2\/5 - 6598017*p + 445336623\/5 = 0.\nAnswer: 27, 203629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k**3 - 56798995496*k + 56798995496*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 12 = 3*s + 2, -3*a - 3*s + 18 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, v: 3}. What is prob of picking 4 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 205252 - 43200?\nAnswer: 122052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 98*o**3 - 269178*o + 47644833?\nAnswer: 294*o**2 - 269178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111111000101010 + 100?\nAnswer: 111111000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 610865 = -37*a + 609496 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 236740 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4898459593?\nAnswer: 1951, 2510743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1\/3*o**4 - 16\/3*o - 11\/3*o**3 + 12*o**2 - 64\/3 = 0. Calculate o.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (-27 + 0)) + -41?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pgpd. What is prob of sequence ggg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2005 + 2005 - 22*s**3)*(8*s + 55*s + 45*s)*(1 + 3 - 3).\nAnswer: -2376*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u**(-2)\/u))\/u)**23\/(((u\/u**(-2\/9))\/u*u)\/(u*(((u*u**(-6\/11)*u)\/u)\/u)\/u)))\/(u**8*u*(((u**9*u)\/u)\/u)\/u)**(-6\/13) assuming u is positive.\nAnswer: u**(96032\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(3) + -2) + 5.\nAnswer: -3*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 931321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -34 in -0.85, 6, 4?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - -3612160?\nAnswer: 3612163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/5*65\/(-26). Sort 0.3, -2\/23, a in increasing order.\nAnswer: -2\/23, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-6*(2 + sqrt(162) + -1))**2*-6.\nAnswer: 23328*sqrt(2) + 211248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -8. Let i = z - -13. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100000 (base 3) to base 16\nAnswer: -f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10*2 - (0 - 2). Let v be ((-4175)\/(-175) - 24)*2. What is the third biggest value in q, v, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 920184008 to the nearest integer?\nAnswer: 30335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b - 4*q + 42 = 2, 0 = 2*b + 2*q - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -4. Let d = 7 + -4. Let i = d - b. What is the nearest to -1 in 0.4, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.31261302 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -7*s + 6*s - 7, 5*s = 2*y + 31. Solve -2*f + 1 = -s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -30077*l + 180411. Determine o(6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ykyck. Give prob of picking 3 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 264, 1131, 2570, 4569, 7116, 10199, 13806, 17925?\n\"Answer: -2*g**3 + 298*g**2 - 13*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or 7142?\nAnswer: 7142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-510)\/17*(-12)\/(-45)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (1 + -1 + sqrt(2736) + 2 + -1 + ((sqrt(2736) + -1)*1 - sqrt(2736)))*2)**2.\nAnswer: -48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59076*d + 31890*d + 42584*d - 6925*d.\nAnswer: 126625*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 12c870 (base 14) to base 5\nAnswer: 131234000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o - 4 + 8 - 4*o. Let u be a(0). Suppose 0*j - u*j = 1880000. Round j to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -8609  (b) -0.3  (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 218 - 158. Calculate the remainder when u is divided by -4*17*6\/(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 147 (base 12) to base 5\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of x**2\/2 - 2*x + 4. Let n be r(6). Solve -p - n = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 4 = -b, -5*b + 0*p = -p - 16. Suppose 140 = -2*c + b*l, -70 = c + l + l. Let m be (-2)\/6 + c\/(-21). Solve 4*o - 7 = -3*j, 4*o = m*j + 20 + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 64\/217 - 18\/31. Let n = 163.87 - 168.87. Sort 3, s, n in ascending order.\nAnswer: n, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gz when two letters picked without replacement from gzxxnxzx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 545123 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 + 4*n**2 + 2*n - 6. Let y be z(4). Suppose -2 = -y*m, 5*x - x - 12 = 4*m. List the prime factors of x\/(-12) - 7\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (-3 - 1)\/(-4) + -15 + 37 + -33.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25527 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -1 - 5*x + 5*x + x + 4. Let b(h) = -h**3 + 3*h**2 + 6*h - 4. Let a be b(4). What is q(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 times 14.7?\nAnswer: 0.735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0994905887 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -172*d**2*v + 2*d**2 + 20065*d - 5263258*v with respect to d.\nAnswer: -344*d*v + 4*d + 20065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.238127 months to millennia.\nAnswer: 0.00010317725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w + 1. Let o(a) = 9*a + 1. Let x(p) = 4*k(p) + o(p). Let q(z) be the second derivative of 2*z**3\/3 + 2*z**2 + z. What is -4*q(g) + 3*x(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 261 divide 32161008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91495?\nAnswer: 5, 29, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 90602*g - 271808. Give v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -27*i**2 + 5. Let r(a) = -176*a**2 + 33. Let s(d) = 5*r(d) - 33*y(d). Let f = 44 + 38. Let q(u) = -1 - 83*u + f*u + 1. What is s(q(b))?\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let u = 49 - 18. Let f = 88 - u. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 76 = 5*d, -x - 28 = d - 0. Let a be (14\/(-21))\/(1\/x). Let r = a - 13. Solve 3*i + 0 - 3 = 3*g, -5 = r*g - 4*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.81609 - 0.12411. Let l = i - -3.515. Round l to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8824.7115s in hours?\nAnswer: 2.45130875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002981612 rounded to six decimal places?\nAnswer: -0.002982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21617 + -21614. Suppose s = 5*w - 3*s + 36, -5*w = s + 16. Sort -2, w, -5, o.\nAnswer: -5, w, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5 + ((sqrt(200) - (sqrt(200) - (sqrt(200) + sqrt(200)*-2 + sqrt(200) + sqrt(200)) - sqrt(200)))*-6)\/(-1*sqrt(160) - sqrt(160)) + 5) + -2.\nAnswer: 18*sqrt(5) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*i + 173*i - 2409 = 39*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 17, a: 2}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2  (b) 9\/8  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 156941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*d + 69 = -679 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 37, 2, 0, 22, -48, 5, -5 in ascending order.\nAnswer: -48, -5, 0, 2, 5, 22, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2733842*y**3 - 190*y**2 + 2946*y?\nAnswer: -16403052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5\/3 or -958?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15131534.\nAnswer: 2, 11, 31, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, -41, -102, -193?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z, 1 h, and 1 i when four letters picked without replacement from ehhzhhrhhhzzi.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.6*-90199.\nAnswer: 54119.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g. Let z(t) = 2*t**3 - 4*t**2 - 10*t + 12. Let d be z(3). Let b(m) be the second derivative of 1\/3*m**3 + d - 4*m + 0*m**2. Determine b(q(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -320187\/61 + 5249. Is q < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 848 and 4307416.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/460 and 71\/7072.\nAnswer: 813280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = -114 + 79. Let m be (-4)\/(-40)*(u - (-3)\/(-1)). Which is the closest to 5?  (a) m  (b) -1.3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -10 + 16. Suppose 0 = 4*z - n - 103, 0 = 2*z - r*z + 4*n + 100. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*w**4\/3 + 14350*w**3\/3 + 28685*w**2\/3 + 4780*w = 0. Calculate w.\nAnswer: -2868, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 2, 0 = -3*i + 3*o + 65 + 121. 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: Let j(u) = -u**3 + 6*u**2 + u - 5. Calculate the remainder when j(4) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -9. Let g be 84\/40 - ((-40)\/5)\/(-80). Factor 0*m**g - 5\/2*m**b + 0*m**4 + 0 + 5*m**3 - 5\/2*m.\nAnswer: -5*m*(m - 1)**2*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1634*j - 906*j = 78740 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1673716124 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by -989.\nAnswer: -12\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 4)*(-z**2 - 2*z + 2*z) + 13357*z**2 + 13928*z**2 - 43459*z**2 + 9250*z**2.\nAnswer: -6922*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - 3) + 2\/(-2). Suppose 3*k = -5*y + 1, 5*k - 1 = -y + 8. What is the second smallest value in 3, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7753 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of q**5 + q**5 + 1405*q**3 - 2810*q**3 - 243*q**4 + 1403*q**3 - 6839*q**2 + 980*q**4 wrt q?\nAnswer: 120*q**2 + 17688*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m + 3. Let w(i) = i**2. Determine l(w(s)).\nAnswer: 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.18 times -1472.1\nAnswer: -264.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1.2 times 64\nAnswer: 76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 121*j + 1094. Let q be u(-9). Put -164, -4, q, 4 in descending order.\nAnswer: q, 4, -4, -164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 + 11.5. Let s = 1704606.99999 - 1704595. Let i = d - s. Round i to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -4*w + 118, -2*w - 3*d - 2*d + 47 = 0. Solve -w = -10*u + 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7725?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jfjjjjjjjjjfbj. What is prob of sequence bfj?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 9*f**2\/7 + 124111*f\/7 + 1970 = 0.\nAnswer: -13790, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -26 + 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 11012\/(-13765)*(-10)\/(-12)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 897188299 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.3  (b) -1  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 161301668 and 161301667 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g - 3*g**2 + 2*g**2 + 3*g - g. Let l(c) = -4*c**2 + 6*c**2 - 8*c**2 - c**2 + c. Let w(a) = l(a) - 6*t(a). Find the second derivative of w(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -9. Let r = 13 + d. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(1216) + -1))**2 + 1 + (sqrt(1216) - sqrt(1216)*2)**2 + ((sqrt(1216) + 1 + sqrt(1216))*-3)**2 + -2.\nAnswer: 272*sqrt(19) + 46217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201 - 1000?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - ((-10)\/25)\/((-2)\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*y - 33 = 15*y + 3*b, 3*y - 3*b = 21. Suppose 9*p - 5*p - 81 = -t, 4*t = 5*p - 75. Calculate the remainder when p is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-800)\/6600*3\/12?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/14 + (-6)\/(-9). Let t = -22\/105 + z. Let j be (-9828)\/7020 - (-7)\/5. Which is the closest to -1?  (a) -1  (b) t  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 93.3 - 93. Let b be 1 + (1\/(-4))\/((-9)\/(-24)). What is the third smallest value in -26, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i**2 + 104*i**2 - 42*i**2.\nAnswer: 57*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9781455 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13004*r**3 + 146*r - 3295613.\nAnswer: 39012*r**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrwfwrs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1316432 and 1950?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16548781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/6 + (-4)\/6. Let j = g - -22. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 8*b + 16 = 12*b, -49 = -9*b - 13 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/71 and 121\/42?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(468) + -1*sqrt(468))\/sqrt(4) + -6*(-1*sqrt(1053)*4)**2.\nAnswer: -101088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 - 18*n**2 + 18*n - 14. List the prime factors of p(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + n = -5, 42 = 4*d - 3*n + 27 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 2*n - 39550, -3*m + 5*n + 21354 = -8315. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41076.\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100011013 - -2312?\nAnswer: 100013331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 78 and 16?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 13785323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 51*h + 4. Let s(p) = 102*p + 9. Let x(y) = -7*k(y) + 3*s(y). Does 47 divide x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, a: 1, k: 1, i: 9, r: 4}. Give prob of picking 1 a and 1 r.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1268 + 201. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1978442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 4:21 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m = -21 - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*((b\/(b**1*b))\/b)\/b*b\/(b\/b**(-4))*(b**(-1))**(-14))**(12\/7) assuming b is positive.\nAnswer: b**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 5*m + 3. Let o be q(5). Suppose o*p - 12 = -x, 6*p - 23 = 2*p + x. Let y(l) = -3219997*l - 15. Let s be y(p). Round s to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 260434091.08 to the nearest one thousand.\nAnswer: 260434000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 5:15 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of 0 + 1\/300*p**5 + 0*p**3 + 0*p - 1\/600*p**6 + 4*p**2 + 0*p**4. Factor f(n).\nAnswer: -n**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 1638*u - 1. Let i(r) = -2*r**2 + 106*r - 2. Determine v(i(g)).\nAnswer: -3276*g**2 + 173628*g - 3277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -13821545.04 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 155 + -86. Let y be 3 + (445\/(-1))\/(-5). What is the greatest common factor of y and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -8*k + 4. What is the tens digit of c(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - 2)*1 + 1. Suppose 5*r - r - 360 = h. What is the highest common divisor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 60*z**2 + 75*z + 563. Calculate x(-59).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*z**4 + 1\/2*z + 1\/2*z**2 - 1\/2*z**3 + 0.\nAnswer: -z*(z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*n*r**2*u*x + 4*n*r*u**3*x - 2*n*r*u - 2*n*u**3 + 2*r**2*u**3*x + 2*r**2*x + 3*u**3*x wrt r?\nAnswer: -20*n*u*x + 4*u**3*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -b - 15, 8*z - 33 = -2*b + 3*z. What is the nearest to 4 in -5, -0.119, b?\nAnswer: -0.119","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(140) + (sqrt(140)*1 + sqrt(140))*1)\/(2*sqrt(5)*1))\/((sqrt(1372)*1)\/(sqrt(14)\/sqrt(2)*1)).\nAnswer: 3*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-75)\/20*70\/(-525). Suppose 0 = -u - 5*m - 17, 0*u - 2*u + 3*m = -18. What is the fourth biggest value in -2\/7, u, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*h = 41*h - 400. Calculate the highest common factor of 1875 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 296 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1996 + -987. What is the least common multiple of 3 and w?\nAnswer: 3027","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -153475, -306951, -460427, -613903?\nAnswer: -767379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*c = 71 + 139. Solve 2\/7*f**c - 4\/7 - 2\/7*f**4 - 2\/7*f + 6\/7*f**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 327*(-2)\/(-1 + -1). What is the least common multiple of -16 + 12 - 1\/((-2)\/52) and 1\/(-6) + x\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 + 81*q - 1240. Give t(39).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 684755 is divided by 3389?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 53*k**2*y**4 - 2590*k**2 + 20*k*y**4 wrt y?\nAnswer: 212*k**2*y**3 + 80*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/5 and 27\/106.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -4*k**2 + 1. Suppose 4*w + 4 - 12 = 0. Let g be (-3)\/(6\/4) + w. Suppose 2*d + g = -68. Let m(j) = -23*j**2 + 6. What is d*r(a) + 6*m(a)?\nAnswer: -2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -22*b**3 - 5*b**2 - 5*b + 10. What is the lowest common multiple of 42 and s(-3)?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 * 368996.4.\nAnswer: 3320967.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 519660 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -4*y + 30. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(77)*-1 - 2*sqrt(77)*2)*-2)\/((3*sqrt(252)*-5 - sqrt(252)) + sqrt(252) + 3*(sqrt(252) + sqrt(252) + 2*sqrt(252))).\nAnswer: -5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 6) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*r**3 + 7*r**3 + 11*r - 16*r**3 + 23*r**3 - 16 + 10*r**3 to n*r**3 + v*r + q + j*r**2 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 21601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, -33, -86, -161, -258?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 6, q: 3, g: 1, y: 1, s: 6}. Give prob of picking 1 x and 2 q.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (415 + 3)*((-3)\/(-6) + -1). Let c = s - -266. What is the remainder when c is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 38422 + -38427. Which is the smallest value?  (a) f  (b) -319  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 - f**2 + 5*f**2)*(0*f + f - 3*f) - 3*f + f**3 + 3*f - 7*f**3 - 409*f**3 - 258*f**3.\nAnswer: -681*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -9 - 0. Let r be (i\/(-6))\/(-3)*0. Solve r = 3*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.309 * -9361.\nAnswer: -12253.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(363) + 2) + -2)**2.\nAnswer: 1320*sqrt(3) + 9219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of 0*q**3 - 7\/6*q**4 - 1\/15*q**5 - 99*q**2 + 0*q + 0. Factor w(t).\nAnswer: -4*t*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {v: 3, f: 5, b: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 20\/15*3\/2. Suppose m*l + 4 = -f, 3*l + 6 = -5*f - 0. Calculate the remainder when 29 is divided by 3*(l + 66\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p = 13*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/(sqrt(252) + (sqrt(252) + (sqrt(252) - -2*sqrt(252)) + sqrt(252) - sqrt(252)) + sqrt(252)) + sqrt(6)\/(sqrt(48)*6))**2.\nAnswer: 25\/2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4927 is divided by 4520.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 7*b + 21 = 0. Calculate the least common multiple of 6 and (9\/3)\/(7\/(112\/b)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 341 and 66593.\nAnswer: 22708213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -18, -107, -260, -477, -758?\n\"Answer: -32*c**2 + 7*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -837587 (base 11) to base 13\nAnswer: -37ccb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5234355 or 5234358?\nAnswer: 5234358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65527.\nAnswer: 7, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.05 - -0.35. Let d be (3\/4)\/((-9)\/(-3)) - (-723)\/(-6748). What is the closest to 0.2 in d, 2\/13, s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12920\/1938*12\/(-110)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 608, 605, 594, 569, 524, 453, 350, 209?\n\"Answer: -y**3 + 2*y**2 - 2*y + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/7, 4, 5, -21 in descending order.\nAnswer: 5, 4, -6\/7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 218640 and 120?\nAnswer: 218640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 602 or 609?\nAnswer: 609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (205\/4)\/(605\/(-1210)*(-125)\/(-20))\nAnswer: -82\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 234 and 15588?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -585 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2102 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - c + 3*c)*(3 - 2 - 2) - c + c - c + (-3 + 2 + 2)*(-3*c + 2*c + 0*c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/924*36*8\/(-6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 74*y**2 + 142*y + 124. Give a(72).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3.6  (b) -45  (c) -4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 134837200.\nAnswer: 2, 5, 17, 79, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1552269400 a multiple of 5896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - s = 7 - 20, 4*s = 3*n - 5. Suppose -5 = 5*i, 5*t - 3*i = n - 0. Factor 8\/5*v**3 + 4\/5*v**4 + t*v**2 - 8\/5*v - 4\/5.\nAnswer: 4*(v - 1)*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33808673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*r + 1 + 5)*(-3 + 0 + 4 - r**2).\nAnswer: 2*r**3 - 3*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/6 and 29\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 62, 113, 164, 215, 266, 317?\n\"Answer: 51*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -503?  (a) -6  (b) 1\/2  (c) -5  (d) -0.1339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 0*l - 21. Suppose -o + 2*o + u + 3 = 0, -4*u = -2*o + 12. Let h = 13 + o. Solve -5*d - l = h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -640, -652, -656, -646, -616, -560, -472, -346?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -644 + 1571. Find the second derivative of 1 + c*m - 924*m - 111*m**2 - 4 wrt m.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 162 and 3222?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 + 3. Let h(i) = -17*i - 1 + 4*i + 12*i. Determine 3*h(c) + l(c).\nAnswer: -c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 3\/693922 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cweg when four letters picked without replacement from cwweregzz.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/9)\/(5\/(-75))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/16854174 and -123\/170.\nAnswer: 84270870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together -171593386802 and -0.5.\nAnswer: -171593386802.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 2*c = 605 - 172, 2*b + 4*c - 154 = 0. Let r = -51 + b. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 495 divided by -5\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9232 + 9231.5. What is the third biggest value in -1, 2\/35, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 22507 = -5693. What is b rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 380 divided by 19\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.046764125 to four decimal places.\nAnswer: 0.0468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28 + 30. Let m be (0 + t)\/(-4 + 0). Which is the third smallest value?  (a) -4\/5  (b) m  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/4*(566 + -162) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(209)\/(-1*sqrt(539)).\nAnswer: -sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 51, 98, 141, 180?\n\"Answer: -2*n**2 + 53*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 9:48 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/126646 and -17\/11.\nAnswer: 1393106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 4*o - 17 = 0, -2*o = -2*m - o + 7. Suppose 29*p - 33*p = 536. Let g = p + 133. Sort g, 1, m in ascending order.\nAnswer: g, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*d - 36 = 31*d. Suppose -d*q + 5*q = -792. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (0 + (2 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -2d3?\nAnswer: 2d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + 2*o - 3 + 5 = 0, 2*a = -o + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1228*b + 105*b - 30368 = -9031 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/12)\/((-126)\/(-48))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (-5 - (-3 + 27 + -54)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 260 and 650.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h - 3*h - 4*h)*(-6 + 8 + 9) + 4*h + 6 - 6 + 6*h - 3*h - 2*h + 3 + h - 3 + (-2 - 2 + 2)*(-3*h + h + 0*h) + 3*h - 2*h - 2*h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 6*f + 4 = 0. Suppose 3*d + 0*d + 5*o = 31, 0 = -5*d - 3*o + 25. Suppose f*b = d*b + 30. What is the remainder when b is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 2*z + 8 - 3 - 2.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 0.2, -16, 220, -0.1 in descending order.\nAnswer: 220, 0.5, 0.2, -0.1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s - 4. Let o be -2 - (-1)\/((-3)\/(-6)). Let y be u(o). Let i be (-10)\/y*(-24)\/(-15). Solve 2*v = i*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 26, -445, -0.66, -3 in decreasing order.\nAnswer: 26, 5, -0.66, -3, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2, -30, 59, 3\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 621 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 4*q - 3*c - 29, q - 28 = -q - 5*c for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, x: 2, e: 3}. What is prob of sequence eaxa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 8.5. Let t = f + -6.5. Sort t, 3, -11.\nAnswer: -11, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (w + 3 - 3)*(0 - 6 + 4) + 0 - w + 0 + 87 + 16*w - 87 - w + 1 + 1 + 0*w to the form n*w + v and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -5*r**2 + 0*r**2 + 2*r**2 - 4*r**2. Let c(a) = 3*a**2. Calculate l(c(u)).\nAnswer: -63*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b (base 12) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -145, -5, 0.4, 0.405?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 5 = i. Is 2*(i - 220\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -138*d + 251*d - 4 - 99*d. Let k(o) = -27*o + 7. Calculate 6*k(x) + 11*z(x).\nAnswer: -8*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 16\/24*18\/4. Suppose y*f + 2*b = -0*f - 16976721, 3*f + 16976703 = 4*b. Let s = f + -42541095. What is s rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n. Suppose 44 = c + 40. Let p(t) = -21*t. Let r(d) = c*p(d) - 27*i(d). Let z(x) = 4*x. Calculate z(r(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -54935, -109398, -163875, -218372, -272895, -327450, -382043?\n\"Answer: -l**3 - l**2 - 54453*l - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -48718.518 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -53131.112 to the nearest one hundred.\nAnswer: -53100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*a = -8*a + 65520. Suppose 4*q = -8, -5*b + a = -3*q - 2101. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -3 - h**3 + 3 - 5 + h + 8*h**2. Let y be s(8). Solve b = y*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -158 - -71. Let l(n) = 687*n**2 + 21*n - 20. Let v be l(-1). Let q = y + v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1025, -2\/11, 5\/3, -12, 5.3 in decreasing order.\nAnswer: 5.3, 5\/3, -2\/11, -12, -1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 40\/(-20) - (-7 - -1). Let k be 1153\/2 + 2\/(-4). Suppose -x*p - k = -12*p. What is the greatest common factor of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - 4) + (-1690)\/(-10). Suppose 5*x = 2*i + u, i + i + 102 = 3*x. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 120*v**2\/7 - v\/7.\nAnswer: v*(120*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6682, -6649, -6614, -6577, -6538?\nAnswer: -6497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - r**2 + r + 4. Let c be t(-2). Let i be -6*c\/(-4) + -4. Find the second derivative of -8*u**4 + u**4 - i*u + 6*u + 15*u wrt u.\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34*g**3 + 0*g + 3*g - 2*g**2 - 2*g to v + s*g + i*g**3 + w*g**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1030)\/(-70) - (-2)\/7. Suppose -5*a + 2*p + 18 = 0, 4*p + 11 = 5*a - q. Solve -a = 3*o + z, 0*z = o - 4*z + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27936?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 253 + -156. Let s = z - 68. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -d + 66, -7*w = -3*d - 4*w + 204. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 5*u = -25, 4*g - 5*u - 35 = -0*g. Which is the biggest value?  (a) g  (b) -1\/2  (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -5*m - 5. Let a = -21 + -47. Let p be a\/17 + (-1)\/1. What is the least common multiple of i(p) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/3 and 71\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2200962 to three decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 10085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-9)*198\/100*(-1435)\/(-861)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5792 divided by -2896.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19 + 39. Suppose -2*x = a - 3*a, -3*x = 2*a. Suppose 5*r = j, -k - 4*r + 23 + 13 = a. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -169698 divided by 84849.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -98, -19, 74, 187, 326?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -16, -3*t - 2*h = -0*t - 22. Suppose -k + 12 = t. What is the lowest common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3398934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = -2*x - 3*i - 80, -8 = 2*x - 5*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 25421 = 28*f + 58527. Is -2707 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -7222*u. Let p(a) = 40*a**2 + 2*a. Determine p(f(q)).\nAnswer: 2086291360*q**2 - 14444*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 17.7, 3\/8, -1.83?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 153102 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 87975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 108418 - 15462. What are the prime factors of m?\nAnswer: 2, 17, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -48*s + 55*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34972 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 79380 and 816804.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 + 389*w + 20 - 38.\nAnswer: 389*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 19, 73, 149, 247?\n\"Answer: 11*r**2 + 21*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*d - 15*d + 5*d - 5*w + 44, 4*d - 4*w = -40 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12004, -12002, -12000, -11998, -11996, -11994?\nAnswer: -11992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 3*u**4\/2 + 9996*u**3 + 17521536*u**2 + 9192800064*u - 37052184960 = 0?\nAnswer: -4260, -1204, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**4\/9 - 7*u**3\/3 + 23*u**2\/3 - 71*u\/9 + 8\/3.\nAnswer: -(u - 1)**3*(u + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 0.3  (b) -1  (c) 276  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67718 is divided by 105?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/9*z**2 - 292\/9 - 98\/3*z = 0.\nAnswer: -146, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/9)\/(3\/(-432)). Let d(t) = -t**3 + t**2 + t + 2. Let f be d(0). Suppose -24 = -f*z + v. 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: Suppose r = -r. Let q = 1593 - 1597. Put 3, 2, q, r in decreasing order.\nAnswer: 3, 2, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(3*v + 2*v - 2*v) + 5*v - 64*v - 87*v.\nAnswer: -143*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*z - 2, -z + 0*z = -2*c - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 688 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 121683 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/6 + ((-15280)\/(-15))\/(-4). Let a = 200 - x. What is the units 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 11:12 AM and 9:07 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -168*n - 670. Let f be u(-4). Determine i, given that -4\/7*i**f + 20\/7*i + 8 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432)\/(sqrt(1296) + sqrt(1296)*3) + -4)**2.\nAnswer: -2*sqrt(3)\/3 + 769\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**4 + 374500*s**3 - 9349517280*s**2 + 77787979774720*s + 311301535344640.\nAnswer: -5*(s - 24968)**3*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 359 + -316. Solve 0 = 4*q - c + 31 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 6*h - 33. Let f be l(5). Let u(r) = 8*r - 2. Let x(d) = d. Give f*x(a) + u(a).\nAnswer: 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -194 by -4.\nAnswer: 97\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4664 + -0.01996.\nAnswer: 4663.98004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 18688 divided by 3\nAnswer: 18688\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1932 divided by -7?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 8*y**3 + 5. Let b(d) = 7*d**3 + 4. Suppose -j + 15 = -3*f, -4*j + 4 = -0*f + 2*f. What is f*z(w) + 5*b(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -27*k - 2. Let c(g) = -18*g - 1. Let p(u) = 7*c(u) - 5*v(u). Suppose 9 = -13*j - 17. Calculate p(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3454057268 - -0.2.\nAnswer: 3454057268.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 9*c - 10 = 8*c, -5*x - c = -20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((1*(sqrt(320) + 1))**2 - (sqrt(320) + (-1*sqrt(320))**2 + 1)) + 5)*-1.\nAnswer: 25 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*c**4 - 45*c**2 + 44*c**2 - 5*c + 3*c + c to d*c**2 + x + h*c**3 + n*c + i*c**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1869617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -s - 6. Let u(w) = s*w + 21*w**2 - 6*w. Does 9 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 326613*c**4 + 209*c**3 + 252170282*c**2?\nAnswer: 7838712*c + 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**16\/z**(-3)*(z**(-5)\/z)**(-1\/23) assuming z is positive.\nAnswer: z**(443\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*o - 4*o + 6*o**2 to j*o + q + f*o**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45 - -51. Suppose 5*u - u - r = 8, 0 = 3*u - 5*r - x. Let l be (5\/(20\/(-16)))\/(-1). Put u, l, -4 in descending order.\nAnswer: l, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 13. Sort 4, q, -2 in increasing order.\nAnswer: q, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, 0.1, 0, 2, 2\/11, 5, 95\/7189?\nAnswer: 95\/7189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.0215475 * -557\nAnswer: -12.0019575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 14 = -2. Let b = z - -6. Find the third derivative of m**5 + 4*m**b + 0*m**2 - 2*m**2 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.7 - -0.3. Let p = 1.3 - l. Let i = -1.3 - 1.7. Which is the nearest to 1?  (a) p  (b) i  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14181827 times -1?\nAnswer: 14181827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 791325412 to the power of 1\/2, to the nearest integer?\nAnswer: 28131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -137, -484, -1169, -2306?\nAnswer: -4009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 5*r + 2540 = 0, -454*o + r + 2540 = -449*o. List the prime factors of o.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 612144725 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3 = -7. Let u(k) = -3*k + 1 + 6*k - k + 6*k**3 - g*k**2 + 2*k. Let c(z) = -z**3 + z**2 - z - 1. What is 4*c(m) + u(m)?\nAnswer: 2*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9624211 weeks to microseconds.\nAnswer: 582072281280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3235662680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -19 + 187. Let m be ((-4)\/(-30)*6)\/(i\/(-30)). Let t = 264 - 1316\/5. Sort -4, m, t in ascending order.\nAnswer: -4, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0740634429 - 0.2?\nAnswer: 0.8740634429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 9933\nAnswer: -4\/9933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*6*((-1 + sqrt(432))**2*-1 + 3 + sqrt(432)*2 + 2*sqrt(432)*2*4).\nAnswer: -12900 + 7200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -64*m - 124. Let w(s) = -4*s**3 - s**2. Let u be w(1). Let r(y) = y + 7. What is the remainder when x(-2) is divided by r(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 3\/26, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 308*k + 2538 - 3533 - 4857 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b752 + -18?\nAnswer: b736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63394 and 8642.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 + 3*y - 51. Let v be n(-9). Suppose -v*r = g + 2*r - 49, -r = 0. Calculate the remainder when g is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**2\/9 + 281100743*m\/3 + 210825557\/9.\nAnswer: (m + 210825557)*(4*m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111 - 111101101011010?\nAnswer: -111101101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/2))**34*(w\/((w*w*w**(1\/3))\/w))\/w**(-2\/3) assuming w is positive.\nAnswer: w**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5*w + 6 = 0. Suppose 0*t + 2 = -w*t. Let n(p) = p + 8. Let d be n(-4). Which is the closest to t?  (a) -0.1  (b) d  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: In base 10, what is 3294 - -16?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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 x(c) = 2*c - 7. What is x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29 + -31. Let d be (-65 + 0)*(u - -1). Let l(v) = -2*v - 3. Let g be l(-8). What is the highest common divisor of g and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 81\/22 and 87\/5846.\nAnswer: 64306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) 9  (c) 1292240\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12345?\nAnswer: 3, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 9:39 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5645352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (586 + 593 - 46)*(-3*d - 1 + 1) in the form x*d + k and give x.\nAnswer: -3399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10669*g**2*w**3 + 161*g**2*w**2 + 2*g**2 - 9*g*w**3 - g*w - w**3 - 3*w**2 + 472 wrt w?\nAnswer: -64014*g**2 - 54*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 11 = 2*s. Let b(c) = 7*c**2 + 7*c + 6. Let o(d) = -13*d**2 - 13*d - 11. Let w(v) = s*b(v) - 6*o(v). Factor w(q).\nAnswer: q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 169, 2, -0.3, 1\/5 in descending order.\nAnswer: 169, 2, 2\/9, 1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u**3\/5 + 2703*u**2\/5 - 18872*u\/5 = 0. What is u?\nAnswer: 0, 7, 2696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**3\/7 + 48*a**2\/7 - 765*a\/7 + 4050\/7 = 0.\nAnswer: 15, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 312040 is divided by 989?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 48 = -3*i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 2*o - 3*c - 18, -2*o + c + 10 = 0. Let j(t) = 14*t**2 - 42*t - 4. Let k be j(o). Let g(r) = -r. What is g(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1615.6 - -0.04561603882.\nAnswer: -1615.55438396118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44296 divided by 44296.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r**3 + 64*r**2 + 83*r - 2763. Determine i(32).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 6 = 6*h. Suppose h*j - 5*j + 4*x + 6 = 0, -5*j + 2*x = -15. Suppose 4*f - 3*f - j = 0. Solve -f*z = z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**2 - 23533270*d - 94133000.\nAnswer: -5*(d + 4)*(d + 4706650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1234, 7047, 20858, 40205, 65094, 95531, 131522?\n\"Answer: k**3 + 2759*k**2 - 3*k - 3991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5279 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 3*s**2\/7 - 2250*s + 31488\/7 = 0.\nAnswer: 2, 5248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnnnnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 171, 173, 185, 213, 263, 341?\n\"Answer: g**3 - g**2 - 2*g + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 723.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 777.1 - 134.1. Let r = 643.0783 - x. Let m = -0.07 + r. Round m to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 27 - 35. Differentiate 2*y + s*y - 2 - 4*y + 3*y wrt y.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, g: 1, i: 6, w: 1, v: 3}. Give prob of picking 1 v and 1 g.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 76066106 divided by 6\nAnswer: 38033053\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-13)\/65 + (-1866)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -18.4302737668 and 1.\nAnswer: -17.4302737668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = 14 - 56. Let a(t) = t**2 - 8*t - 2. Let q be a(n). Let r be (33\/q - -3) + 22\/6. Solve -3*p = -v + 8, 0 = -2*p - r*p + 4*v - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*b = -61 + 253 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -128\/19, -0.1, 14, -3, -1 in descending order.\nAnswer: 14, -0.1, -1, -3, -128\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4  (b) 2  (c) -0.5  (d) 4  (e) 0.8  (f) -16\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-10)*75\/120\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3688, 8, 2.\nAnswer: -3688, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/11 + 1107\/99. Let q = -15 + v. Let x = q - -19. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -99110104\/3 and -33036701 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -234 or 1336?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*s = -20, -3*s = 3*k - 0 - 6. Suppose 10*b = k + 36. Suppose 3*c + 3 = -2*d, 4*d + b*c + 3 = d. Is d at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 (base 10) in base 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1770)\/(-3540))\/(29\/(-2)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -8126, -16219, -24312, -32405?\n\"Answer: -8093*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 483*d + 481*d - 970*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -0.8. Let z = -2.589 - -5.589. Which is the second biggest value?  (a) l  (b) 0.3  (c) z  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -94*c*j**3 - 53*c*j*m + 4*c*m + 2*c + 6*j**3*m - 13*j*m - 2*j - 108 wrt c.\nAnswer: -94*j**3 - 53*j*m + 4*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 3*j = -3. Let m(f) = -f**j + 5*f + 2 - 6*f**2 + f + f + f. Let a be m(-7). Let p(b) = b**3 + 6*b**2 + 4*b - 3. What is p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16465)\/39516)\/(465\/(-216))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 7*o + 77. Let v = o - -19. What is the remainder when 27 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/20 + (-6)\/(-4). Which is the third biggest value?  (a) -5  (b) w  (c) 1\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 + 0.1. Let s = 2\/31 + 23\/124. Let t = -5.92 + 5.42. What is the nearest to n in s, t, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104 and 171319109?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -414*x - 925. What are the prime factors of m(-39)?\nAnswer: 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 864 = 507*n - 383 - 781 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -4*n + 8632, -5*g + 3*n = -2*g - 12921. What is g rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -18*k - 4*k**2 - 2 + 29*k + 0 - 20*k + 13*k. Suppose -2*c + p = -4, -4*p + 0 = -3*c + 1. Determine v(c).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-430))\/((-84)\/28*-1)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12\/11 + -25\/33. Let k(t) be the first derivative of -c*t**3 + t**2 - 2 + 0*t. What is the second derivative of k(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*b + b**5 - 4*b**5 + 7*b + (4*b**2 - 5*b**2 + 0*b**2)*(-11*b**3 - 13*b**3 + 20*b**3).\nAnswer: b**5 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/6319050 and -127\/90798.\nAnswer: 233804850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 12*m**2 + 9*m + 22. Let d be o(11). Solve -3*c + 4*c = d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 - 7*w + 4. Let j be i(-8). Let k = j - -4. Suppose -x + k + 1 = 0. Which is the biggest value?  (a) x  (b) -3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s**2 + 4*s**2 - 7*s**2 + 17 - 19*s**3.\nAnswer: -19*s**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 43*n**4\/6 + 5*n**3\/6 + 5*n**2\/2 + 10*n + 6. Let k(m) be the first derivative of q(m). Is k(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0.1, -995\/62, 3 in increasing order.\nAnswer: -995\/62, -0.1, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(19))**2*-1 - sqrt(931)*1.\nAnswer: -11*sqrt(19) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 181640 times 10\nAnswer: 1816400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -299839207 + -332.\nAnswer: -299839539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 78.343 + -77.843. Let t = -5 - -4.6. Which is the closest to 3\/4?  (a) t  (b) 5\/3  (c) k  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 12, n: 6}. Give prob of picking 2 r and 2 n.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 516 divided by -129.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -1 + 32*r**2 + 2*r + 2 + 2 - 6. Let u be c(1). What is the greatest common divisor of u and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4246*k**3 + 4248*k**3 + 4246*k**3 + 4279*k**3 - 25497*k**3 + 4240*k**3 + 4240*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14123.33 + -14185. What is f rounded to zero decimal places?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, 48, 99?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4183 - 4186. Sort 4, -2, 12, w, -6 in decreasing order.\nAnswer: 12, 4, -2, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert ec6 (base 16) to base 4.\nAnswer: 323012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/(-42))\/((-6)\/(-9)). What is the second smallest value in i, -3\/5, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8114354504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.19, -326 in decreasing order.\nAnswer: 0.19, -5, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80, 58, 34, 8, -20?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 4, -81, -3\/5, -16, -2\/15, 0.05, 2\/19?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -6*w - w**2 - 3 + w**3 + 2*w**3 - 2*w**3. Let f be g(-2). Let a be 1*(f - 0 - (0 - 33)). Calculate the highest common factor of 75 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 120 = 21*d. Suppose 11*r + 10 = 9*r. Sort 2, -1, d, r in decreasing order.\nAnswer: 2, -1, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*i = 72*i. Let o(m) be the third derivative of i*m - 7\/6*m**3 + 0 - 16*m**2 - 1\/24*m**4. Calculate o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -19*l - 131. Let c be u(0). Let b = 134 + c. Suppose -2*i + 8 = -0. Which is greater: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o**2 + 95*o + 19. Let v be a(-47). Which is smaller: v or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 + 6*d**2 + 5*d - 6. Let g be w(5). Let z = g + -24. Solve z = -10*o + 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.711 + -1.7110761. Round l to 6 dps.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1608 = 10*d + 38. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*h**2 + 17 + 0*h**2 - 17 in the form b*h**2 + q*h + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 - -1.2. Let v be (-45)\/(-16) + 1707\/9104. Which is the smallest value?  (a) v  (b) 0  (c) 2\/13  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - h + 1. Let w be y(-2). Solve v + 2*v = -2*x - w, x + 1 = 3*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*d + 632 = 46*o + 106*d, 0 = -4*o - 4*d + 44 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -132.65 - -2.75. Let n = 139 + s. Let h = 3.3 + n. Round h to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2783, 2790, 2801, 2816, 2835?\nAnswer: 2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/4, -10, -16, 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - b + 4*b)*(2*b + 2*b - 6*b)*(-3 + 0 + 0).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -148*o**3*q**3 + 2*o**3 + 2790*q**2 wrt q.\nAnswer: -888*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/2 + (-12)\/(-8). Solve v - 3*b = -0*b + 10, 4*b + 15 = r*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 2, -36, 3, 7, -4, 6 in ascending order.\nAnswer: -36, -13, -4, 2, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-1\/3))**(2\/3)*(l\/(l\/(l**4\/l*l)))\/(((l\/(l*l**5*l))\/l)\/l) assuming l is positive.\nAnswer: l**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1979317 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 5*f + 800, -3*f = 3*d - 8*f - 512. Calculate the greatest common factor of 2829 and d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-770)\/(-1530) - 7\/119. Put r, 1, -0.9 in decreasing order.\nAnswer: 1, r, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (17 + -5)\/(0 + 2). Suppose 3*r + a - w = r, r = a. Suppose r*v - 81 = 3*u, -5*v + 65 = 2*u - 147. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -34*a**2\/5 - 24238*a\/5 + 2852\/5.\nAnswer: -2*(a + 713)*(17*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -119655, 418, 3, -0.2 in increasing order.\nAnswer: -119655, -0.2, 3, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -5. Let x(w) be the first derivative of 0 - 2 - w**2 - 11*w + v*w**2. Let c(o) = -o + 2. Give -22*c(b) - 4*x(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -846 - -512. Let t = -331.38 - b. What is t rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 + 67*a**2 - 610*a - 64. Let v be u(11). What is the nearest to 0 in 68\/7, v, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3652.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - a + 24 = 3*a, 4*w + 3*a = -17. Let p(l) = -4 + l**2 + 2 + 2 + 6*l + 2. What is p(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*f**4 + 3110775*f**3 + 256*f**2 - 23881*f - 1 wrt f.\nAnswer: 264*f + 18664650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17381632 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -64725.022 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-195)\/(-117)*2\/(-10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-2080)\/(-90) + (-21)\/189\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2\/11, 0.2, -75.\nAnswer: -75, -2, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-13)\/(-11))\/((-10)\/610). Let w = n + 72. Let t be 4\/(-6) - 119\/(-147). Which is the biggest value?  (a) w  (b) t  (c) -2  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-210)*(-140)\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - -2. Let c(v) = -6*v + 33. Let l be c(k). Let b(i) = -507*i**3 + 506*i**3 + l*i - 4 - 9*i - 7*i**2. Determine b(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.087, 6\/11, -4?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i**3 - 13*i**3 - 2*i**3.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 44\/5 of a micrometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 836 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7985424476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0*3\/((-48)\/(-4))*-4. Let d be (0 + 1)*(-1)\/2. Which is the closest to o?  (a) 0.1  (b) d  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 731509\/3 - 241639. Let y = o - 2220. Find the common denominator of y and 36\/(-2)*6\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 50\/15*162\/(-135). Sort m, -16, -7, 1 in ascending order.\nAnswer: -16, -7, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of 19*x**6\/120 + x**5\/12 - x**4\/4 - x**3\/2 + 13*x**2. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 241*v + 34891 = 237*v, -n + 11600 = 3*v. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/4*(-8)\/(-2). Let y be 1\/(-4)*3\/l. Suppose 0 = b + 5*h + 9, -3*b = -6*b - 3*h - 3. Are b and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/4*(-4 + 6). Let x = 11\/985 + -70089\/13790. Let o = x - -39\/7. What is the second smallest value in o, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40349, 5, 4, -2, -4, 0, -5 in decreasing order.\nAnswer: 40349, 5, 4, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21921045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**5 + 9*a**4 - 294*a**3 + 1134*a**2 - 1437*a + 585 = 0. What is a?\nAnswer: -13, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 377 + 127 = 4*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 11:16 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 74*u**3 + 41*u**2 - 40*u**2 + 6 - 2 wrt u.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2420, 2270, 2094, 1886, 1640, 1350, 1010?\n\"Answer: -b**3 - 7*b**2 - 122*b + 2550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.18?  (a) 1\/4  (b) -4  (c) -2\/5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*m + 1824 = -143*m - 38*m + 42*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -15. Calculate the remainder when 24 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 11:20 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 39145146 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 3*z**2 - 10*z + 4. What is p(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 6:32 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.24 - -23.24. Let a = f - 22.99999981. What is a rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 AM and 12:28 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7.2?  (a) 321\/2  (b) -0.4  (c) 3\/2  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bcdy when four letters picked without replacement from cbcdyqb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mlbflllmmf. Give prob of picking 1 b, 1 l, and 2 f.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (177\/(-9))\/(2\/(-6)). Suppose a - 4*a - 119 = -2*g, 0 = -5*g + 5*a + 295. Suppose 38*r + g = 39*r. Does m = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3\/8 + 26973*y**2\/8 + 7576884*y - 7580256.\nAnswer: 3*(y - 1)*(y + 4496)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*0\/(1 - -3). Suppose r = 17*f - 21*f + 120. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 (base 15) in base 13?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2*(-1)\/4)\/((-170)\/16320). Calculate the highest common divisor of 384 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 5*h + 161 = 0, 0 = w - 3*h + h - 161. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lmliif. What is prob of sequence imll?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2654, 2552, 2450?\nAnswer: 2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 484297, 968594, 1452891, 1937188, 2421485?\n\"Answer: 484297*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 103, 27, -211, -611, -1173?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10957483261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 4, -2, 1 in ascending order.\nAnswer: -8, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-11)\/4)\/(1\/(-12)). Suppose -186 = 5*v - c - 51, -v + 5*c - 27 = 0. Let o = z + v. Solve -k = o - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 598 = 11*s - 6849. Calculate the remainder when s is divided by 53.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from jjjjjcycy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (639*q**4 - 27*q**5 - 639*q**4)*(5 + 1 - 4).\nAnswer: -54*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 4\/3, 2\/7, 4, -0.273, -892\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 633 or -36?\nAnswer: 633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61341365?\nAnswer: 5, 12268273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/3 + 78\/9. Let v be 1\/2*(-10 + x) - -8. What is the greatest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -5, 6, -3, 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 338*f**2. Let g(t) = 2*t + 5. Calculate g(w(u)).\nAnswer: 676*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -25403 divided by -30?\nAnswer: 25403\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/8*-3*(-12)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0014361 rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-27)\/(-108) - 5432076\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*207\nAnswer: -82.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 943468 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/42)*u*u**(1\/14))\/(((u*u*u**6*u*u)\/u)\/(u*u*u*u**(-9)*u)) assuming u is positive.\nAnswer: u**(-271\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 t when four letters picked without replacement from eteeeeeeett?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25 (base 14) to base 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1 - -0.084. Let o = -0.12145 - -0.32145. Put 0.1, p, o, 1 in increasing order.\nAnswer: p, 0.1, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (603\/2 - 3) + (5 - 2). Let z = -309 + u. What is the common denominator of 26\/(-28) - 12\/42 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/4 + (-51 - 952\/(-17)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + (72\/28 - (-8)\/(-14)). Are -69 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 226 divide 63485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2251 (base 7) to base 8.\nAnswer: -1464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -234903 or -235379?\nAnswer: -234903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1914419, 1914414, 1914409, 1914404, 1914399, 1914394?\nAnswer: 1914389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 104\/39*(-4)\/80. Which is the smallest value?  (a) 0.14  (b) f  (c) 0.2  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -7. Suppose 5*x + 13 = -j, 4*j - x - b = -3*x. What is the second derivative of v**2 + j*v**2 + v**2 + 3*v**2 + 10*v wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 9*b**3 - 509*b**2 - 4*b + 12. Let i(p) = -10*p**3 + 509*p**2 + 5*p - 15. What is 4*i(g) + 5*x(g)?\nAnswer: 5*g**3 - 509*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z*z**(1\/4)*z)\/z)\/z)\/z)\/(z\/(z\/z**(-22))*z) assuming z is positive.\nAnswer: z**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 3*u + o - 1718, 5*u - 3*o - 2873 = 0. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 - 7. Let b = c - 4. Let q be (-30)\/(-21) + -2 - b. Are 0 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = 7*z + 175. Suppose 4*w - z*b = -16, -2*w = w - 4*b + 13. Let y(u) = -u**2. What is y(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2420 is divided by 266.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*b = 32440 + 48506. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6912510 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 29, 56, 103, 176, 281, 424, 611?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 + j + 15. What are the prime factors of a(-7)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-84 - -88) + -5 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 1 = 2*d. Let l = d + 7. Factor -l*r**2 - r + r**5 + 2*r + 6*r**3 - 4*r**4 + 0*r**5.\nAnswer: r*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 191, 763, 1717, 3053?\n\"Answer: 191*u**2 - u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6836?\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y. Let k be p(-3). Let u = 5 + k. Let d be (-39)\/(-26)*8\/18. Which is the third biggest value?  (a) u  (b) 3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, 1940, -4 in decreasing order.\nAnswer: 1940, 19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4373571868?\nAnswer: 2, 2243, 487469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 8:35 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**2 + 3*z. Let t be u(-2). Let r(c) = t + 2 + 16*c + 12. Let v(j) be the first derivative of 5*j**2\/2 + 5*j - 5. Calculate 3*r(n) - 10*v(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2475)\/814 - -3)\/((-78)\/(-130)*(-10)\/4)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 990*a**5 - 41*a**4 - 18*a**3 - 12748*a + 38 wrt a?\nAnswer: 19800*a**3 - 492*a**2 - 108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1740, 3325, 4910?\n\"Answer: 1585*p + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7470 = -393*t + 25155. Solve -t = -32*g + 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4 = -2*x + 3*x, -3*o + 8 = x. Solve -4 = j - c + o*c, 0 = -c - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 321225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7954 - -7892)*(-3)\/(-2).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 424 a factor of 189432682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**15*k)\/k**(-17))**(-25) assuming k is positive.\nAnswer: k**(-850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 9 + 8 = 2*d, -4*j - d = -16. Suppose 0 = -5*h + c - 9, -4*h + 5*c - 4 = c. Sort h, j, 1, 2 in ascending order.\nAnswer: h, 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 36\/(-189)*7\/(-6). Put u, 1\/5, -10 in ascending order.\nAnswer: -10, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18879 - 87690 = -27*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6 + (-12)\/2)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-215)\/430*8*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of f**3\/3 + 21. Let g(y) = -2*y**2. Give g(l(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 7*t - q + 7, 4*t = q + 17. Let u be (-957)\/(-110) - (-15)\/50. What is the highest common divisor of u and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*b + 2*b + 112 = 0. Suppose d = -2, -3*o - b*d = o. Solve -r - 3*r - o*h = 16, 0 = -5*r - 4*h - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -5, -0.1, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/(10\/(-5)) + 2. What is the hundreds digit of (153\/2)\/(i\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 832*t**3 - 8*t**2 - 2*t - 12. Let l be y(6). Round l to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, h: 3, b: 2}. Give prob of sequence hbb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 8. Suppose p = 3 + o. Suppose -39*y - 3*x = -37*y + 7, 5*y - 25 = x. Calculate the smallest common multiple of y and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d + 2. Let y(b) = -153*b - 11. Give 6*a(l) + y(l).\nAnswer: -147*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(5445)*2 + sqrt(5445) + 0 + -1 + sqrt(5445))**2 + (-2 + sqrt(5445) + sqrt(5445)*-2 + -3)**2.\nAnswer: 594*sqrt(5) + 92591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of k**4 + 11*k**3 - 24149*k**2 - 4291204*k wrt k?\nAnswer: 12*k**2 + 66*k - 48298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 126387, 126424, 126473, 126528, 126583?\n\"Answer: -r**3 + 12*r**2 + 8*r + 126368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 63163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 131*p**2 + 5*p + 6. Let r(c) = 129*c**2 + 4*c + 4. Calculate -3*r(i) + 2*w(i).\nAnswer: 2*i**3 - 125*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.02, 2, -8\/35?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -24*r**3 + 11*r**2 - 8*r. Let t(c) = -6*c**3 + 3*c**2 - 2*c. Let b(s) = -22*t(s) + 6*w(s). Find the second derivative of b(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 620 a factor of 1645480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -408*i + 2. Let l(q) = 53*q. What is l(j(c))?\nAnswer: -21624*c + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-24)\/108)\/(2\/(-18)). Suppose -4*c - 6*h + 1861 = -3*h, -3*h = -d*c + 917. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 401 - 436. Suppose v + 3*q = 174, 870 = v + 4*v + q. Let i = z + v. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 33  (b) 0.692  (c) 6\/11  (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31661032*v*z**3 - 2155*z**3 + 49716*z**2 with respect to v.\nAnswer: -31661032*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*((-5)\/(-70))\/((-17)\/(-113050)*25).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1119\/119 - 155\/17. Solve -2\/7*n**3 + 2\/7*n**5 + 0 + 0*n - w*n**2 + 2\/7*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-5)*w*w**(3\/2)\/w)\/((w**(-3)*w)\/(w\/w**(4\/7))) assuming w is positive.\nAnswer: w**(139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -4, 92, -5.\nAnswer: -5, -4, 0.5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of 1\/20*z**5 + 0*z + 0 + 0*z**3 + 0*z**4 + 2*z**2. Let a(m) = -m**2. Give a(u(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j*j*j*(j**4*j*j)\/j*j*j)*j**(2\/5)*(j\/j**(2\/25)*j*j)**(-14) assuming j is positive.\nAnswer: j**(-1237\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26*w - 82*w - 18*w to i*w + j and give i.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -301463990 and -28969?\nAnswer: 301435021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-2)*((-18)\/(-4) - 3). Solve q + 1 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -31258.74232 to the nearest 10.\nAnswer: -31260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 1 - t - 3*t - 4 + 20. List the prime factors of y(-12).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/4)\/(3\/12). What is the smallest value in -0.4, -1\/5, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/(-336))\/(2\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the third derivative of -x**8\/112 - 2*x**7\/35 + x**6\/20 + 2*x**5\/5 - x**4\/8 - 2*x**3 + 163*x**2. Determine a, given that d(a) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2231 - -2253.02. Let h = v - 0.02. Let y = -17 + h. Which is the second biggest value?  (a) -2  (b) -3\/4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/133 in -4, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*r + 6*r + 0*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 250 and 443.\nAnswer: 110750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10259433689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 2*l**2 - 16*l + 16. Let x be t(7). Find the second derivative of 11*f + f**2 + 15*f**x + f - f**2 wrt f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 2)*(0 - 2 + 1)*(0*v + 5*v - 4*v)*(10 + 6*v + 37 - 8*v).\nAnswer: 2*v**2 - 47*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 = -11*i + 118 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 50 = -5*s, 1622*s - 1620*s + 24 = -3*t. Let o = 1.5 + -1. What is the third biggest value in o, -3.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 13772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11.2 + -6.3. Let j = -2.8 + f. Let t = j + -2.100011. Round t to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 259467369\/4810 + -269717\/5. Find the common denominator of -83\/2220 and g.\nAnswer: 28860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192) - (sqrt(192) + 0 + sqrt(192) + -3))*4)**2 + 1.\nAnswer: -768*sqrt(3) + 3217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 3)*(c + 3*c - 2*c) + 17*c - 29*c + 17*c + (-1 + 1 - 2*c)*(-3 + 4 - 2).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -36, -136, -304, -540, -844?\n\"Answer: -34*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-10) - 12\/15)*-5. Suppose 2*l + y = l + 95, -h*y - 352 = -4*l. Calculate the greatest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 603*l**3 - 2*l**2 - 2*l + 229. Let f(x) = -1207*x**3 + 4*x**2 + 5*x - 461. Let g(q) = -2*f(q) - 5*v(q). What is the third derivative of g(t) wrt t?\nAnswer: -3606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 4*d**4 + 2*d - 3. Let u(l) = 11*l**4 - l**3 + l**2 + 5*l - 8. Let n(h) = -8*t(h) + 3*u(h). Factor n(a).\nAnswer: a*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 104234 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/21?  (a) 0.3  (b) -2\/3  (c) 3\/4  (d) 1  (e) 1837\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*g**3 + 36*g**3 + 48 - 103 + 50 - 4*g.\nAnswer: 61*g**3 - 4*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4979423624693\/3246 + -1534018353. Let t = 1\/3246 - s. What is the common denominator of t and -75\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 71, 282, 631, 1118?\n\"Answer: 69*j**2 + 4*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5750, 11498, 17242, 22982, 28718, 34450?\n\"Answer: -2*n**2 + 5754*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/6 - 5\/(-2). Let c be 2\/3*-16*p. Let o = 48 + c. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 76.1874 and -1?\nAnswer: 77.1874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*o + 154*o + 136*o - 404*o + 85*o.\nAnswer: 75*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = 3*g - 2*a, 4*g + 4*a = g + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -3  (b) 37  (c) -6  (d) -7.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of a**5\/210 + a**4\/42 - 89*a**2\/2 - 2*a - 20. Let u(d) be the first derivative of h(d). Factor u(p).\nAnswer: 2*p*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, t: 2, u: 1, w: 1}. Give prob of sequence wtt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, 649, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.4 - -2. Let s = 1228466 + -1026997717\/836. Let q = -1\/76 + s. Which is the second smallest value?  (a) t  (b) 1\/3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**2 - 3 + 3 + (-2*d + 6*d - 2*d)*(-3*d + 3*d + 2*d) + 7*d**2 - 51*d + 51*d + (-6 + 6 + 4*d**2)*(-2 + 7 + 3).\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27179*b = -27258*b + 1975 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*i + 91*i - 42*i - 15 = 4*g, 0 = 5*g - 3*i + 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 + 217*f - 8247. Calculate z(-250).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -3*b**5 - 53*b**4 - 277*b**3 - 526*b**2 - 295*b. Let h(t) = 2*t**4 - 2*t**3 + t**2 + t. Let u(g) = -h(g) - x(g). Solve u(z) = 0 for z.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of ((-35)\/2)\/((-7)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.05 and 149.\nAnswer: 149.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -41, 107 in increasing order.\nAnswer: -41, 1, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 4*s**2 + 4*s - 3. Let q be f(1). Sort -2, -3, -5, q in descending order.\nAnswer: q, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7691 divide 489127024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 8 + 29. Suppose o*i - 2*i - 15 = 0. Let r = 5 + i. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2244597 is divided by 132?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17.1 + -20. Let t = -92 + 89.048. Let l = w - t. What is l rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 32419874649958 and -4?\nAnswer: 32419874649962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, z: 7, t: 9, k: 1, q: 2}. Give prob of picking 1 t, 1 k, 1 z, and 1 c.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-2)*-2 - -3. Suppose -5*b + 18 + 12 = j. Solve -12 = -2*g + b*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/8 and 71\/392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 79099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*h + 1362*h - 59450 = 126*h - 275*h for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -7*p - 3. Let b(c) = 3*c + 2. Let y(z) = 7*b(z) + 4*r(z). Let l(s) = 6*s - 1. Determine -4*l(t) - 3*y(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 25 = 153. Let y = 5 - l. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 4*y**5 - 5*y**4 - 9*y**3 + 5*y. Let c(x) be the second derivative of x**6\/30 + x**5\/20 - x**3\/6 + 25*x. Let i(g) = -5*c(g) - k(g). Factor i(d).\nAnswer: -4*d**3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 2*j - 3*v = 9, -2*j + 13 = 5*v. Let u = j + 6. Suppose -3*z + 15 = -u*z - 3*i, 2*i = -2*z + 30. Sort z, 2, -5 in decreasing order.\nAnswer: z, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 - -2. Let f be (4*-1)\/(u - -2). Find the first derivative of -z**3 + f - 2*z**3 - 1 wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 821540?\nAnswer: 2, 5, 41077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 681 - 2?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 904  (b) 1\/9  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/10)\/c**(-3) assuming c is positive.\nAnswer: c**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of 0*k**2 - 2 - 8\/3*k**3 + 0*k. Let w(f) be the second derivative of -f**3\/6 + 18*f. Determine j(w(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(190) - (sqrt(190)*1 - sqrt(190)))*6 + sqrt(190) + sqrt(190)*-2*-4)*-2)\/(-3*(-3*sqrt(20)\/sqrt(2) + (sqrt(90)*5 - sqrt(10)))).\nAnswer: 10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**4\/17 + 472*s**3\/17 + 27848*s**2\/17.\nAnswer: 2*s**2*(s + 118)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1746 is divided by (-15)\/40*(-10 + -574).\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/((-4)\/70 - (-161247)\/31885)\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 3*f + 31, -a - 2 = -3*f - 3. Let r(p) be the third derivative of p**6\/120 + p**5\/15 - 7*p**4\/24 - p**3 - p**2. What is r(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -815, -6409, -21575, -51095, -99751, -172325, -273599?\nAnswer: -408355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-2) + -1)*0. Suppose g = -p*g + 196. Let k be (6\/(-4))\/((-21)\/g). What is the highest common divisor of 112 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 55*s**4 + 6*s**3 - 6*s**2 - 22*s + 3. Let v(i) = -i**3 + i**2 + i. Let k(r) = u(r) + 6*v(r). Find the second derivative of k(q) wrt q.\nAnswer: 660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + 6\/4 - (-15)\/(-10). Solve -f = -10*u + 9*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.8 - -1. Let h be (5\/4)\/((-2925)\/(-360)). What is the smallest value in h, i, 15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 2. Let l(v) = -v. Give l(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 133694165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -187. Let f(d) = -405. Let u(z) = 6*f(z) - 13*j(z). Let l = 2 + 0. Let o(x) = x + 3. Let p = 93 - 94. Calculate l*u(y) + p*o(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 11*b**2 - 1. Let s be t(4). Let u = s + -173. Solve -3*g - 28 = 2*g - u*r, 3*g = -3*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -5\/494?\nAnswer: -5\/494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 15*d + 2*d**3 - 4.\nAnswer: 2*d**3 + 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17.9 - 3.\nAnswer: 14.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*w + 2661 - 31829. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16 - -18. Let o be ((-2)\/5)\/(h\/(-10)). Is o at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -0*d + 6*d. Let j(m) = -18*m**2 + 39*m**2 - 24*m**d. Let t(f) = -6*f**2. Determine j(t(c)).\nAnswer: -108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -358 - -370. Let v = -300 + 209. Calculate the remainder when 3\/(-6) - v\/2 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -439*c - 141*c - 4 + 15 - 11.\nAnswer: -580*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2669*c*r**3 + 1336*r**3 wrt c?\nAnswer: 2669*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -1 + ((-1*(0 + sqrt(833) + sqrt(833))*2)**2 - (-3*(sqrt(833) - (2 + (2*sqrt(833) - sqrt(833)))))**2))*2.\nAnswer: 26588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*x = 24*x - 21 + 163 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3187?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 16b919 - 4?\nAnswer: 16b915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -41 + (-67)\/670*-280.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 44 + -265\/6. Let l = 998 - 1000. Let w = 2.9 + -3. What is the nearest to -2 in a, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1291*c**3*t + 3*c**3 - 38650*c - 199134*t - 128 wrt t.\nAnswer: 1291*c**3 - 199134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/3)\/(1\/18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 10. Let h be (-1)\/(q\/(-8))*-1. What is the units digit of h\/(-7) + 865\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9569, -38268, -86099, -153062, -239157, -344384?\nAnswer: -468743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2104363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 119*p + 180*p + 91*p in the form t + w*p and give w.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -27*w + 1375. Let p be t(51). Let r(u) = 8*u**2 + 6*u - 4. Let s(k) = -k**2 - k + 1. What is p*r(b) - 12*s(b)?\nAnswer: -4*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + a - 2 = 2, -2*g - 3*a + 4 = 0. Suppose -4800 = u + g*u. Round u to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12201110331 (base 4) to base 2\nAnswer: -110100001010100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 30 = 5. Let d be ((-4)\/14)\/(t\/(-35)). Suppose -p - d*l = -16, 0*p + 9 = -p + 3*l. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8705 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of (-6160)\/(-6) + 5 + (-20)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 10 - 4 = 0. Sort 3, 1, g, 22 in increasing order.\nAnswer: g, 1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 361, 706, 1025, 1306, 1537, 1706, 1801, 1810?\n\"Answer: -2*r**3 - r**2 + 362*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 + b**2 - 3*b + 2. Let p be j(0). Solve p*g - 6 = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -3*l**2 + 28*l + 9. Let j be a(10). Let n be 6 + -2 - 22\/j. Suppose 2*k = 4*v + 622, -5*v + n*v = -5*k + 1533. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 394386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (-15)\/6 + 1. Let y = 13 - 15. Which is the smallest value?  (a) 0.3  (b) y  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/82 + (-70092)\/(-48380).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 385 + 615. Let j be (s\/12)\/(1\/6). What is the units digit of j\/26 + (-36)\/(-234)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 7. Suppose 0 = 4*q + 54 - 374. Let o be q\/(-32)*(-4)\/k. Solve l - o*l = 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - a. Let l(v) = -6*v + 6*v**2 - 6 - 10*v**3 - 1 + 0. Suppose 5*x = -4*x - 54. Let t(m) = x*h(m) + l(m). Differentiate t(d) with respect to d.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (-7 - (-1 - -1)). Suppose n*i - 60 = -12. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of t**5\/30 - 9*t**3 - t - 83. Let b(r) be the third derivative of z(r). Let h(w) = -14*w. Calculate h(b(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 20*z**5 + 28*z**4 - 52*z**3 - 44*z**2 + 32*z + 16 = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 23*r = -26*r - 27, -3*r = 4*q + 21 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = -2*f - f + 3*x, -2*f + 3*x - 33 = 0. Let j = f + 9. Let i = 18 + j. Solve 5*o + 4*r - 3 = 2*r, -i*r - 8 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6543.\nAnswer: 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 19000, 37014, 55028, 73042?\n\"Answer: 18014*u + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2e1 - 6?\nAnswer: -2e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 837 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 5*s - 9. Sort s, -4, -7.\nAnswer: -7, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ekq when three letters picked without replacement from eqqaqaaqqkaauaaaauea?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -492518 > -492519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + 101210?\nAnswer: 101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -90452\/3375 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/(-9) - (-26)\/6. Let z = -4.4 - -214.4. Let u = z + -210.2. Which is the nearest to 0?  (a) i  (b) -2\/3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10876 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(3 + -1 - 1). Suppose -j*l - 3*g + 70 = -l, 0 = 3*l + g - 46. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 12. Suppose 3 = -b*f - 12. Let g(i) = i**2 - 9*i - 13. Let o be g(10). Is o bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/17736 and 31\/16.\nAnswer: 35472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in 3, 4, 3\/59, 0.1?\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 8*i + 10. Let a be z(7). Suppose a*n = -0*n. Suppose s + 429 = -n*c + 4*c, 0 = -s + 3. Calculate the highest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-9)\/2 - -4)\/((-3)\/72). Solve 17*d = h*d + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 56 = 258. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -283  (b) -0.077  (c) -2\/11  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 118864078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 8  (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w**4 + 14*w**3 + w**2 + w - 1. Let v(h) = -12*h**4 + 104*h**3 + 3*h**2 - 17*h - 23. Let o(n) = -2*v(n) + 14*x(n). Factor o(f).\nAnswer: -4*(f - 2)*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**2. Let x(l) = l**2 + 38*l - 103. Determine x(k(r)).\nAnswer: 4*r**4 + 76*r**2 - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**2 + 65*p - 210.\nAnswer: -5*(p - 7)*(p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -182219*s + 182235*s. Factor 4\/9*g**3 + s*g + 2\/9*g**2 + 2\/9*g**4 + 0.\nAnswer: 2*g**2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8844.703ml to litres.\nAnswer: 8.844703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 325 and 2600?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bmbpbbm. Give prob of sequence pb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 2*b - 4. Suppose -2*h - 30 = -0*h. Let s be (h\/25)\/((-2)\/40). Let c = s + -15. Give g(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/7))**39*(o\/(o*o*o**14*o*o))\/(o**(2\/71)*o) assuming o is positive.\nAnswer: o**(-3422\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 36005.946\nAnswer: 108017.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 5) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1)*(-i - 2*i**5 + i) + 3*i**5 + 0*i**5 - 2*i**5 - i**2 - i**2 - 3*i + 5*i + i**5.\nAnswer: 6*i**5 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2868  (b) 3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + j - 101 + 28 = 0, -75 = -5*b + 2*j. Let o = b - 10. Let v = 0 - -4. What is the remainder when o is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 2*q = 43, -5*b + 216 = -4*q + 43. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 8:17 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 3*n = -2*a - 13222, 5*a - 5*n - 66130 = 0. Let q be a\/(-110)*(-2)\/(-120). Let c = q - 37\/33. Calculate the common denominator of 23\/18 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -9*t**3 + 8*t**2 + 3*t - 36. Let p(h) = 11*h**3 - 6*h**2 - 4*h + 35. Let b(g) = 5*p(g) + 6*r(g). What is b(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a. Let f = 204 + -188. Suppose 5*c + f = 2*n - 11, 3*n + 2 = -c. Let x(o) = -10*o + 1. Determine n*x(b) - 4*l(b).\nAnswer: -6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 60*t + t**2 + 85*t**3 - 1 - 78*t + 17*t to l*t**3 + w*t**2 + f*t + x and give l.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9466265489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(-630)*-48*((-77)\/(-14) - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.8 + 3.98. What is g rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 9) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-4))\/((-1)\/2). Suppose 0 = -2*t - u + 3. Let g(n) = 1. Let z(l) = -l - 1106 + 552 + 554 + 4*l. Give t*z(k) + 2*g(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 202*w + 923*w = -95665 + 2290 for w.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-636)\/(-8))\/((-9)\/(-192)). Let h = b + -951. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 4*q, -3*y = -4*q + 6. Let k be (-24)\/(y\/(-8)*4). Which is greater: -47\/2 or k?\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.1 in 1\/4, 1, -1.267?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a + 1. Let q be 13\/(120\/(-25) + 5). Let g(l) = -6*l**3 - 28*l + 8*l - 85 + 2*l**3 + q. Let b = 2 - -18. Give b*v(k) + g(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwrpdxwwxkww. Give prob of picking 2 w and 2 x.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8436*m**4 - 152*m - 45 wrt m.\nAnswer: 101232*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ixxix. What is prob of sequence xixx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5504 + -13604?\nAnswer: -6100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 13) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**3 - 10222*l + 1487*l + l**3 + 5629*l - 13156*l.\nAnswer: 3*l**3 - 16262*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -52 + 59. Solve -3 = 2*k + d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k - 6*s + 226, 0*k - 161 = -5*k + 13*s - 8*s - 356 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2718212.\nAnswer: 2, 7, 193, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*z**5 + z**4 - 2676*z**2 + 9389*z.\nAnswer: 40*z**3 + 12*z**2 - 5352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 131\/1250?\nAnswer: 131\/1250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/9))**(3\/2)*(c**(2\/31))**(-48) assuming c is positive.\nAnswer: c**(-319\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.11 * 1400.502\nAnswer: -154.05522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 - 8*f**2 + 8*f + 6. Let j = -4 + -1. Let y = j + -4. What is the tens digit of x(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of m**5\/100 + m**4\/20 - 3*m**3\/10 + m**2\/2 + 18*m + 25. Let r(k) be the first derivative of g(k). Factor r(s).\nAnswer: (s - 1)**2*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wzq when three letters picked without replacement from wzzqo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 AM and 12:45 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 16) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12440158 and 51858?\nAnswer: 111961422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*r + 4*v, 2*v + 26 = -4*r - 8. Let w(y) = -y**2 - 10*y + 2. Let f(m) = -m**2 - 20*m + 4. Let o(t) = 2*f(t) - 5*w(t). Is o(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 times 30908976\nAnswer: -247271808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 19612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 12:07 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 4 = -4*v. Let m be ((-2 - v)\/(-3))\/2. Factor 0 + 2\/11*h**3 + m*h + 0*h**2 - 2\/11*h**4.\nAnswer: -2*h**3*(h - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 109880 divided by 1640\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u**5\/13 + 13476*u**4\/13 - 94266*u**3\/13 + 215416*u**2\/13 - 161544*u\/13 = 0 for u.\nAnswer: 0, 2, 3, 6731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3937404 + -1.9\nAnswer: 3937402.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35.6277 + -1064.1613. Let k = y - -1187.8. Let i = k - 88. Round i to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0557 times 0.2\nAnswer: -0.01114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 18 = -4*d. Let o be (-1)\/(d\/75)*446\/(-3). What is o rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*o + 168 = 69*o. Let b(y) = -y**3 - 4*y**2 + 12*y + 7. Give b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**3 + 11267715*m**2 + 11267520*m**2 - 22535235*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 5*a + 114, 0 = 2*a - 5*w + 12 + 22. Let y = 19 + -32. Let u = y - a. What is the remainder when u is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 596333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 5. Suppose 2 = -q*v + 12. Suppose -3 = v*y - 118. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11205 and 4860?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 5*a**2 + 136*a + 35. List the prime factors of j(-24).\nAnswer: 5, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5*1\/3*3. Let t = -4 + x. Let k = t + -1. Which is the smallest value?  (a) -0.4  (b) k  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3499\/114 - 13\/78. Let i = u - 101538\/3325. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - 7*s + 9. Let v = 21 - 17. Suppose 5*c - 30 = -r, -v*r + 8 = 2*c - 22. Calculate the smallest common multiple of t(-7) and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3044 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 n, and 1 v when three letters picked without replacement from vssscnpppssp?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 74556\/35 - 2130. Calculate the common denominator of f and -17\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 176 and 176 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1755428883.\nAnswer: 3, 13, 73, 616589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -368, -534, -744, -998, -1296?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 193 = 181. Suppose -149 = m + 5*i - 710, q*m + 5*i = 2274. Is 29 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -981 + 1002. Suppose 0 = -5*r + 2*d + 300, -4*r + o*d - 25*d = -240. Calculate the remainder when 62 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 251 + 249 + 255 - 7*y - 1003 + 249. Suppose -3*q + 8 + 4 = 0. Suppose 20 = -4*k, 0 = 3*x - 4*k + 6*k + q. Determine i(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 4*p. Let r(a) = -212*a**2 + a - 1685. Calculate z(r(i)).\nAnswer: -848*i**2 + 4*i - 6740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + ((6 - 21) + 7 - (-9 + 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 10:06 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-7)\/(-2) + 2\/4. Let f = -3 - 1. Put f, -5, h in ascending order.\nAnswer: -5, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*k + 17*k = -5*b + 15, 4*b + 2 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 + -1 - 2)\/(-3). Suppose c = -0*j - 3*j + 183. Let y = 6 + j. List the prime factors of y.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 6*i. Suppose i = 13*b - 19*b - 24. What is the closest to -1 in b, 0.2, -25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2372425.9379 and -55848.\nAnswer: -2428273.9379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 1089072, 0, 3 in descending order.\nAnswer: 1089072, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, n: 2, c: 2}. What is prob of sequence ccu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of q*u**3 - q*u*w - 21*q + u**4*w + 22*u**2*w + 7*u*w wrt u.\nAnswer: 6*q*u + 12*u**2*w + 44*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from voirvvvvr. Give prob of picking 1 o and 2 v.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 65 by 19.\nAnswer: 65\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -3*q**2 + 52*q + 53. Let j be p(18). Let d be (2 - 4) + j\/(153\/90). Solve -3 = a - d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -66 + 21. Let c = q + 50. Sort 0, c, -6, 1 in decreasing order.\nAnswer: c, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**4 + 4*y**4 - 2*y**4 + (5*y**4 + 5*y**3 - 5*y**3)*(-37446 + 20980 + 21339).\nAnswer: 24367*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**3 - 4*w**2 + 6*w + 7. Let c be n(-3). Let i(l) = 13*l**2 + 8*l - 8. Is i(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 571\/6 + -16679\/174. Suppose -y = -3*y. Which is greater: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/33440 and 125\/24.\nAnswer: 100320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 225450.19 days to weeks.\nAnswer: 32207.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 + 37 = 69*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1868 or -1782?\nAnswer: -1868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-10)\/(-3))\/(8\/12). Solve 0 = 2*u - u - i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 219*c + 10*c**2 - 31*c**2 - 2 + 8*c**2 - 26*c**2.\nAnswer: -39*c**2 + 219*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -19 times 0.8\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 9*z - 7 = -3*f, 5*z = 2*f + 12. Let t = 4 + -6. Which is the third smallest value?  (a) -3  (b) t  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 464 - 463. Sort -3\/4, 10, l in descending order.\nAnswer: 10, l, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 514740\/75 - ((-8)\/10)\/4*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8594521498.\nAnswer: 2, 607, 7079507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 31*r**2 - 2*r - 2. Determine p(2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 472431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42860?\nAnswer: 2, 5, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4483 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 839590073 to the nearest integer?\nAnswer: 28976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 1 = 4. Let u = -115583\/735 + -19\/245. Let v = u - -158. What is the nearest to v in y, -2\/13, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30332312 + 3?\nAnswer: 30332321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -281*g + 2249 - 34631 = 490*g for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/48?  (a) -1\/2  (b) 1\/9  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -105 - -411. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-12))\/((j*j**(-2\/13))\/j)*(j\/(j\/(j**(-3\/8)\/j)))\/(j\/(j*j\/(j*j\/j**(-3\/8)*j)*j*j)*j))**11 assuming j is positive.\nAnswer: j**(-7777\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lp when two letters picked without replacement from lphl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-6)\/(-10))\/(-3))\/((-1924)\/4810)*42*-2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2585*m**3 - 50 - 2569*m**3 + 46.\nAnswer: 16*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.533032 meters in millimeters?\nAnswer: 6533.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -457, -606, -753, -898?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**2\/13 + 2218*c\/13 + 2220\/13 = 0. What is c?\nAnswer: -1, 1110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 3)*(x + 0*x + x) - 4*x - x + 4*x - 4*x + 4*x - 2*x - 4*x + 5*x + x + 13*x - x + x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -51 + 55. Suppose d*b + 4*v - 740 = 0, b - 186 = -3*v + v. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 41?  (a) -3\/5  (b) -13.94  (c) 4  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -154534412 - -11?\nAnswer: -154534401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 25*h**5\/2 - 605*h**4\/4 - 1895*h**3\/2 - 6215*h**2\/4 - 685*h + 85 = 0.\nAnswer: -2, -1, 1\/10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 + -7)\/(9\/(-18)*1). Solve -94*i - j = -90*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 39 - -a45?\nAnswer: a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 2*w = -46, -2*z + z - 2*w + 16 = 0. Suppose 4*j - 4 = 3*j, -3*h = -4*j + z. Let g(l) = 8*l - 1. Calculate g(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -108 or 319?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + t - 12 = 0. Suppose -4*q - t*g = -96, -g = -4*q - 3*g + 104. What is the highest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7743174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 1\/4, -233\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (24\/(-9))\/((-6)\/(-27)). Let x be (-4)\/m - (-1)\/9. Factor -x*r - 8\/9*r**3 + 0 + 2\/9*r**4 + 10\/9*r**2.\nAnswer: 2*r*(r - 2)*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 + -12. Suppose 2*d + 19 = -5*g, 2*d - 5 = 3*g - 0*g. Let r(m) = 3*m**2 + 3*m + 2. Let o be r(d). What is the highest common factor of c and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-96)\/(-40)*((-70)\/(-3))\/(-7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*f - 30*f + 122 = 46*f. Which is the nearest to f?  (a) -4\/3  (b) 0.3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 7*z**2 - 20*z + 22. Let k be w(9). Let b(f) = -20*f - 14. Let j(d) = 19*d + 13. Let r(g) = 3*b(g) + 4*j(g). Is r(k) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 321293821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 6*o**2 + 47*o + 116. Calculate the smallest common multiple of (0 - 1)*2*-12 and u(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 334869129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 + 4*k**2 - 4*k + 4. Let s be m(-5). Let w = 3 - s. Suppose w*j - j = 21. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -58 - 110*a + 182 + 41*a + 38*a + 35*a as t*a + o and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21292162.\nAnswer: 2, 10646081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*x + 2*x. Let v = x - 5. Suppose -4*c = -3*c - v. Solve -4*m - 6 - c = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8952 is divided by 767.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1*3.3758\nAnswer: -3.3758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 105, 1, 11, -1.\nAnswer: -1, 1, 2, 11, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 1192?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 3:36 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5894 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 160720 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 0.1  (b) -15  (c) -4045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 PM and 1:02 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (9*(0 - -6))\/(3 + -1). Suppose -3*b + 4*h = -u, -3*b + 9 + 18 = -h. Calculate the highest common divisor of 45 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45, 82, 113, 138, 157, 170?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (3\/72*-54)\/3\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 4:44 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -9*s**2 + 9*s + 66. Let b(g) = -22*g**2 + 22*g + 166. Calculate -5*b(n) + 12*p(n).\nAnswer: 2*n**2 - 2*n - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 9:42 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 3 = 6*r. Let a(q) = -q + 3. Let w(c) = 3*c - 10. Let k(g) = r*w(g) + 8*a(g). Differentiate k(t) with respect to t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6513763 divided by -29\nAnswer: -6513763\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(-6)))\/p*(p\/p**5)\/p*p*p**(-12)*p*p*p*p\/p**(2\/5)*p assuming p is positive.\nAnswer: p**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5 = s, 5*s = 5*f - 3 + 28. Suppose s*m - 16 = -3*q + 94, -q = m - 36. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -7) + (-1 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19 + -7. Is (-1 + -13)*j\/(-14) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/10*(0 - 30). Suppose -n + z = 2*n. What is the second derivative of 0*u**2 - 2*u - u**2 + n*u**2 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3*(-1)\/(-1) + -11 + 6077.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66 divided by 3336.\nAnswer: -11\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 115.8 - 104. What is q rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*c*j*x + 4*c*j - 50541*c*x - 7*c - 12*j*x + 23845*j - 26*x wrt c?\nAnswer: -3*j*x + 4*j - 50541*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -162 or -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 946370 and 567822.\nAnswer: 2839110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -198, -2, 68, 3, -5.\nAnswer: -198, -5, -2, 0, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 301 is divided by 99.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -44.8 or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 15. Let h be (2\/l)\/((-3)\/(-24)). Let j = 15 + -11. Solve -3*t + j*w = h, 5*t - t - 4 = -4*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2523959*i**3 - 8964716.\nAnswer: 7571877*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 67 + -48. Suppose 5*w + d + b = 0, 0 = d - 0 - 1. Is 464\/8*(-1 + (-66)\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10664 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 j when four letters picked without replacement from {u: 1, w: 2, j: 1, f: 1, l: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -45 divided by 55\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 847 - 3375*n**3 + 1152 + 4*n - 4*n + 1838*n**3 with respect to n.\nAnswer: -4611*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5062094*o**3 - 6*o**2 + 320730 wrt o?\nAnswer: 30372564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 237 - 228. Let x be 3\/9 + (114\/9 - -3). Suppose 4*s = 2*a - 3*a - x, 0 = -2*a + s + 13. Solve -a*u - w + 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 63 + -26. Suppose 5*r - 41 = 2*r - 5*o, 4*o - n = -3*r. Let s = 8 - r. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 9*d + 7. Let h be l(2). Calculate the greatest common divisor of 775 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 4.1 and 57818886978.\nAnswer: 57818886982.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of -155*k**6\/12 + 43*k**5\/60 - k**3 + 30*k**2 - 4*k. What is the third derivative of w(o) wrt o?\nAnswer: -9300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 9:58 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -17. Let r = g - 3. Factor 13 - f**5 - 4 + f**4 - r.\nAnswer: -f**4*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + 1. What is the remainder when 7 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -649*s - 3*s**3 + 618*s - 4*s**3 wrt s?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v - 12319*q + 12315*q + 11, -5*q = -25 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.64 - 1.18. Let x = 0.22 - 0.18. Let l = x + n. Which is smaller: 0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -44?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -8*x**3 - 10*x**2 + 14*x - 35. Let d be c(4). Which is smaller: d or -652?\nAnswer: -652","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -0.545\nAnswer: -0.2725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) 0.3  (c) -0.03  (d) 2  (e) -206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -32\/33  (b) -0.5  (c) -0.4  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 5:09 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2900 divided by -2?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 490 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/40252 and -133\/1692666.\nAnswer: 98174628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4, n: 6}. What is prob of sequence ccn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of -w**2\/2 + 11*w - 8. What is b(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61902876 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-39)\/11 - (-1284)\/2354)\/(78\/4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 3551137.\nAnswer: 1\/3551137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1000111100000011010111 (base 2) to base 14\nAnswer: 44dca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 3) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 16) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.09  (b) -7  (c) 25  (d) -1  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 51 = 464. Suppose 7*j + t = 9566. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -472 = 8*t - 727 + 439 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8748878 to the power of 1\/2, to the nearest integer?\nAnswer: 2958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90*v + 13697 = -71443. Calculate the remainder when v is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -16*n + 9*n. Is 4\/n - (1 + (-10828)\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 AM and 9:20 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-78*t**2 + 161 - 161)*(t - 3*t + 3*t)*(0*t**2 - 5*t**2 + 0*t**2).\nAnswer: 390*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009139 rounded to 5 decimal places?\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 15, 3, 0.5, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-13 + 5564\/(-88)*(-38)\/247?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25*l*p*z + l*z + 29*p*z + p with respect to l.\nAnswer: -25*p*z + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 6 = -0*b. Let v = b + -9. What is the second biggest value in -5, v, 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15611560223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 642816575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 10  (b) -4\/7  (c) -7  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 200970, 200969, 200968, 200967, 200966, 200965?\nAnswer: 200964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 10*o. Let p(r) = 16*r**2 - 6*r. Let y = 7 - 1. Let b(a) = 2*a**2 - a. Let g(s) = y*b(s) - p(s). Calculate g(h(j)).\nAnswer: -400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000072442 rounded to 7 decimal places?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 k when three letters picked without replacement from {k: 9, y: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 9\/(-27) - 140\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 10 = -2*i - i, 5*k + 4*i = 25. Let t be 1\/((-3)\/(-6)*2). What is the greatest common factor of k and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 4*i**2 + 5*i + 4. Let v be h(-5). Suppose -3*o + 8 = o - 4*c, -v*o = -c - 8. Suppose o*t = 3*t. Is -1 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 686021.1 micrograms?\nAnswer: 0.0000006860211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 249 + -148. Suppose 45*j = 46*j - p. What are the prime factors of j?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1425550329.\nAnswer: 3, 7, 22627783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 = 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**3 + 69192*j**2 + 19194048*j.\nAnswer: 4*j*(j + 282)*(j + 17016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p + p**3 + 12*p**3 + p.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 + 11\/((-385)\/91). What is the third smallest value in -0.02, 7, o?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*v = 4*g - 15*v - 5, 6*g - v = -5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 2873 and 2804446110.\nAnswer: 2804448983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/378)\/(2\/3)*-2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(462) + -1*sqrt(462)*1)\/(sqrt(77)\/(sqrt(7) + sqrt(7)*2)))\/(((sqrt(486)*-1 - sqrt(486) - sqrt(486) - sqrt(486))*1 - sqrt(486))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6905\/36 + -1724\/9. Suppose -u - 1 = -6. Let g = -1.4 - 0.6. Which is the third biggest value?  (a) g  (b) j  (c) 3  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 54695\/7182 + 14\/513. Find the common denominator of (-4)\/(-18) + (-298)\/(-360) and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 u when four letters picked without replacement from {u: 5, h: 9}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 676 and 1084693714?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18750937 to the nearest integer?\nAnswer: 4330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 3)*(x + 2*x - x)*(761 - 4200 + 815 - 8404).\nAnswer: -22056*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -238*i**2 - i - 1. Let x be z(-1). Is x\/(-18) - 6\/27 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 1063*v - 179053. Give g(210).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 17737, 35473, 53209?\n\"Answer: 17736*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v + 5*v - 9*v)*(8*v - 2*v + 0*v)*(-v**2 - 3*v**2 + v**2).\nAnswer: 162*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -19*c - 27. Let f(y) = -4*y - 75. Let o(j) = 7*j + 125. Let u(t) = -5*f(t) - 3*o(t). Give a(u(v)).\nAnswer: 19*v - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-7) - 165\/(-35). Let x(g) be the first derivative of 4*g**2 + 22\/3*g**3 - 3*g**4 - 18\/5*g**b - 8*g - 1. Let x(v) = 0. What is v?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w - 2*w - w + (5 - 3 + 0)*(2*w + w + 0*w) + 2*w - 2*w + w + (2*w + w - w)*(3 + 1 - 3).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17 + -15. Suppose 4*q - 10 = v*x, -4*q + 17 - 2 = -x. Solve -3*l = a + a - 2, 2*a + q*l - 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35023.97 micrograms in kilograms?\nAnswer: 0.00003502397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3.59 * 87\nAnswer: -312.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2886 >= 2886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 727 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.6 - -4. Let u = -0.311 + 0.552. Let w = 0.041 - u. Sort l, 5, w.\nAnswer: w, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -56*c + 2. Let g be q(0). Let b(f) be the first derivative of 3 - 1\/20*f**5 + 0*f + 0*f**4 + 0*f**g + 1\/12*f**3. Find i such that b(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*g - 1172 + 2*g + 3445 + 0*g + 3118 as y*g + x and give x.\nAnswer: 5391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of p**5\/120 - 3*p**3 - 6. Let h(j) be the third derivative of a(j). Suppose -w + 2*b = 2 + 4, 4*w - 3*b + 24 = 0. What is h(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.071 take away -262572281088?\nAnswer: 262572281088.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + y**2 - 2*y + 3. Let w = 160 - 158. Calculate z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 79 + 23. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2079 in 0.07, 17, 2\/5, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156)*4)\/(sqrt(147)*4) + 2*1*5*sqrt(1300)*-1)**2.\nAnswer: 6333652\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.966 rounded to 0 decimal places?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 802030168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4005334 is divided by 1314?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + -37 + (-1 - -1) - (1 + -3 - 40)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**2 - 3194030*r + 3194030*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 425 a factor of 482800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 904 - 870. Suppose -3*l = -3*h + 2*l - 3, 4*h - 1 = 5*l. Which is the third smallest value?  (a) h  (b) u  (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 119\/13. What is the nearest to 6 in y, 2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 - 6*n + 1. Let g be a(6). Suppose 2*j + 2*k = 8, -j + 15*k + 4 = 19*k. Put 3, j, g, -15 in ascending order.\nAnswer: -15, g, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3767, 1, 133, -2\/3, -5?\nAnswer: 3767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -43 - (-31 + (10 - 0)) - -44.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i**3 + 18*i**2 + 6766*i + 61028. What is a(-9)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 9. Let n = 4 + -3.7. Let v be (-2)\/5*(-270)\/(-108). Which is the closest to v?  (a) -3\/2  (b) n  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7.42738 times -2.5\nAnswer: -18.56845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3 - 406*v**2 - 42400*v - 240000.\nAnswer: -(v + 6)*(v + 200)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 - 11*n**2 - 24*n - 25. Calculate the remainder when 4 is divided by g(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27103471573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h - 4. Let m be g(-7). Solve 5 = m*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-2))\/3 + 2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7693 in -16.1, -0.2, -3\/2, -4\/3, 0.5, 0.3?\nAnswer: -16.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s*s**(5\/7))*s)**(-1\/24)\/(s**(-2)\/s**9))**10 assuming s is positive.\nAnswer: s**(9265\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -222, -4, 2 in descending order.\nAnswer: 2, -3, -4, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.067037 rounded to three dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 216863767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 3*i + 2. Suppose -2*o = -6, i*a - 3*o = -3 - 2. Solve -a*j + j = -4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -93*o**6 + 2*o**3 + 905*o**2.\nAnswer: -11160*o**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 8*b - 20. Suppose -10 = -3*h + 11. Calculate the remainder when h is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -4*h - 1. Let s(l) = -9*l - 2. Let c(u) = -7*j(u) + 3*s(u). Let x be c(-1). Solve z = -x*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 15 = -n. Suppose -n*w = w + 12. Let v be 2\/(-6) + (-37)\/w. Solve 3*b + b - v = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 28725492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 713500978 to the power of 1\/2, to the nearest integer?\nAnswer: 26711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35 + -49. Let d = -8 - t. Calculate the greatest common factor of 66 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2 + 28*p - 39. Determine c(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1430, -2858, -4284, -5708?\nAnswer: -7130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - g**2 + g. Let u be q(0). Let t be u + (-2 + 1)\/1. Is t equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.007 and -18.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 522928676 by -130732169.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 2*w = 0, 179 = 2*f - 5*w + 181 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -649, -622, -653, -802, -1129, -1694, -2557?\n\"Answer: -10*l**3 + 31*l**2 + 4*l - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 5, k: 14}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1621254 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -12, -5, -2 in descending order.\nAnswer: -2, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 6:45 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04329 and -0.5.\nAnswer: 0.021645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1811\/8 - -226. What is the second smallest value in -3\/7, 1, 3\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1133220, -4532864, -10198938, -18131442, -28330376, -40795740?\n\"Answer: -1133215*o**2 + o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 431*b + 4806 = 458*b. Sort -2, b, -5.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - q - 9 + 6 + (-6 + 3 + 1)*(3*q - 2*q - 3*q))*(-9*q + 103*q - 31*q).\nAnswer: 189*q**2 - 189*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*l - 4*t = 164*l - 5508, 2*l - 5*t - 2719 = 0. What is the highest common factor of 21 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 8*u**3 + u**2 - 2*u + 1. Let n be s(1). Suppose -4*h - 4*g - n = 4, -g = 3*h + 3. Suppose -3*y - 367 = -z + y, h = z - 3*y - 368. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-3 - (3 + -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26240.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -1) + (-14 - -37) + -27?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 8682799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 34\/(-4)*2\/1. Let w = 24 + t. What is the least common multiple of w and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.564 - 495.536. Let c = s + 638. Let v = -135 + c. Round v to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -m + 3*a + 48, -2*m + 2*a + 78 = 0. Let y be (-36)\/16*(3 + 0 + -7). Calculate the highest common divisor of m and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 2*g = v - 59, v = -2*g + 62. Suppose -4*w = -d, 0 = -5*d + 2*w + w + v. Calculate the remainder when 61 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + d**2 - 10*d - 13. Let i be f(-3). Let z be i\/4 - 1704\/(-6560). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + 2 + 2. Suppose -57 = -t*h + 53. Calculate the highest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 224457 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -93147 + 158434. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of u**4\/4 + 10*u**3\/3 + 15*u**2\/2 + 10*u + 1. Let p be i(-11). What is the tens digit of p\/(-10) - (-2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*o + 0 = -108 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000650198178 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -538 - -547. Is v greater than or equal to 35\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 250445 is divided by 945.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 AM and 3:21 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3218 = 95*z + 474 - 486 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - 2*q**2 + q + 3. Let x be g(2). Let y be (-1)\/((-2)\/6 + 6\/45). Let a be 4*(-1)\/2 + y. Solve o = -a + x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17\/4*a + 4 + 1\/4*a**2 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 207280793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3050 = 58*m - 8*m. Let b = m - -75. Solve b = -9*y - 31 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i. Let u(q) = -3*q - 4. Let x(s) = s - 4. Let a(h) = h - 3. Let c(g) = -5*a(g) + 4*x(g). Let d(l) = 4*c(l) - u(l). What is f(d(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wmf when three letters picked without replacement from {p: 1, m: 3, e: 5, f: 8, w: 2, c: 1}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6407, -6421, -6443, -6473, -6511, -6557, -6611?\nAnswer: -6673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l**2 - 130 - l - 5*l**2 + 143 - 7*l. Let a(p) = p**2 + 3*p - 4. Let r(x) = -17*a(x) - 6*d(x). Find c such that r(c) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 65 - 62. Let i = 2 - 2. Suppose i = -z*y + 67 - 16. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -4 + 124*a - 1 - 2*a**2 - a**3 - 113*a. Let p be h(-5). Find the first derivative of -31 - p*t**4 - 36 + 56 wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-2 - (-16)\/6). Let z(s) = -3*s - 7. Let o be z(g). Let i(t) = -27*t + 33*t**o + 17*t + 10*t. Let h(c) = 2*c. Give h(i(r)).\nAnswer: 66*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a. Let m be i(-10). What is the tens digit of 374\/18 + m\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2502 divided by 417.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 33\/(-6) - -1 - -2*2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -10*x + 3. Determine b(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 0*z**2 + 0*z**3 + 4 + 4*z**2 + 3*z**2 + z**3 - 8*z. Let s be i(-8). Suppose s*v + 0 - 8 = 0. Solve 0 = -v*h - 1 - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8458 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zmzz when four letters picked without replacement from {m: 2, j: 1, z: 4, s: 2, b: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 6:34 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 822 and 23838?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 36206175791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 3*l + 0 - 15 = 0, r - 7 = -l. Solve 8*i - r = 11*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*q, 475 = 2*v + 6*q - 7*q. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -129502194*l**3 + 149513219?\nAnswer: -388506582*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56611 is divided by 927.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 18918631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 PM and 12:18 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 4 + 0)*(-1 + k**5 + 1) + 3*k**5 - k**5 - 5*k**5 - 3*k**5 + 2*k**5 + 2*k**5.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -199.9?  (a) 0.4  (b) 13  (c) -2\/15  (d) -6.5  (e) 1\/4  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 880601770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 20212?\nAnswer: 20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v - 948319*i + 948324*i - 40, 22 = -6*v + 4*v + 4*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 + 8*z + 5. Let q be s(-7). Let r(d) = 2*d**2 + 3*d + 3. What is r(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 - 14*t - 25. Calculate the smallest common multiple of 93 and r(-10).\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**2 + 34 - 47 + 58 + (4*k - k - k)*(k - 4*k + 2*k).\nAnswer: -3*k**2 + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 13. Let k = -6.2 + z. Let v = -4\/17 - 22\/51. What is the biggest value in k, v, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 - 7*r**2 + 5*r + 10. Give n(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 88060 and 3135?\nAnswer: 55213620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 212325 (base 7) in base 11?\nAnswer: 25776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3932865 by -795.\nAnswer: -4947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1054317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2250 = 435*o - 580 - 215 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q**2 - q**2 + 0*q**2)*(8*q**2 + 19*q**2 + q**2)*(0 + 0 + 2)*(-1 - 5 + 0).\nAnswer: -1008*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7089*b - 7090*b + 31 = 7*q, -4*q + 6*b = 94 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ea when two letters picked without replacement from reaccrbcaaabe?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*f - 675 = -17*f. Let j be (2\/6)\/((-9)\/f). Solve 4 = -9*x + j*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + t + 50839 = 0, -19*a + 14*a - 2*t = 84732. Let r = a + 34191. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.11 - -10831.\nAnswer: 10830.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 12 = 3*h. Is 1386\/10 + h\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149*d**2 - 301*d**2 + 150*d**2 + 250*d.\nAnswer: -2*d**2 + 250*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w**2 - 33*w - 43. Let s be a(-15). Differentiate -89 - 156 + s*f**4 - 3*f**4 - 544*f - 535*f + 1082*f with respect to f.\nAnswer: -4*f**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 604559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9433591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31814, 127242, 286286, 508946, 795222?\nAnswer: 1145114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2 + 100*r + 99.\nAnswer: (r + 1)*(r + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -279 + 300. Let r = -253443.9929 - -253423. Let j = r + x. Round j to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/4 + 2\/8 + (-906)\/(-755). Let a be (6\/16)\/((-15)\/10). Let t be ((-2)\/5)\/((-7)\/5). What is the second biggest value in t, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -878, -3507, -7892, -14033, -21930, -31583?\nAnswer: -42992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 594827103 - 0.06.\nAnswer: 594827102.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2, -0.3, 24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*o - 11*o + 11*o + 61*o - 31*o + 557 - 16*o.\nAnswer: -2*o + 557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v = -635 - 465. 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 13\/4 of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + w + 1 + 4*w + 2*w - 4*w + (3 - 1 - 4)*(w - 2*w - w) - 3*w + 0*w + 5*w + (5 + 0 - 2)*(-5*w + 4*w + 0*w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhzhzhzzzzz. What is prob of sequence zz?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 3*a - 58. Determine d(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14905 is divided by 791?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2*a - 27. Let v be u(9). Let x be -33*20\/(-855) + 6\/v. Let q be (-2)\/4*-2 + 0. Is q less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(7\/(-28)*(-60)\/(-345))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 7288842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.11245 and 25142.\nAnswer: 25142.11245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 4:57 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 2*f + 65, 3*t - 67 = -3*f - 28. What is the remainder when (166\/6)\/(t\/78) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22548410 or -22548420?\nAnswer: -22548420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a decade in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/28*(28\/24)\/1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -365004 from -2275.\nAnswer: 362729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 12893671?\nAnswer: 12893671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (78\/3)\/((-70)\/755). Let p = -281 - u. Let w = p - -1\/14. Which is greater: w or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000004213308 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.8 + 2.9. Let a = -0.9 - s. Which is smaller: 12 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/691340 and -23\/83067160.\nAnswer: 1079873080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229*x - 235*x = -18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 9*o**5\/8 - 61*o**4\/8 - 133*o**3\/4 - 59*o**2\/2 - 5*o = 0.\nAnswer: -2, -1, -2\/9, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-48))\/(7\/28).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164029393.\nAnswer: 11, 14911763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 575.0894 years?\nAnswer: 0.5750894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + r - 432 = 6*r, 0 = -2*r - 8. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 2:10 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 894808631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299*b**3 + 0*b**3 - 249*b**3 + 222*b**3.\nAnswer: 272*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/5*(-330)\/(-891)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -928 + 928.4. Let y(m) = m**3 + 4*m**2 - 4*m + 2. Let g be y(-5). Let t be g\/(-39)*(-1 - 1). Which is the nearest to t?  (a) l  (b) 5\/2  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 18132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.3, 7, -99, 1, 0.008, -1\/9?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 82.5336m in millimeters?\nAnswer: 82533.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -12130 divided by -4526\nAnswer: 6065\/2263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-7 - -6) + 4 - -1 - -8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1059, -8507, -28737, -68139, -133103, -230019, -365277?\n\"Answer: -1065*b**3 - b**2 + 10*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1898.655t in nanograms?\nAnswer: 1898655000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.0155, 2.1, 4, -7\/27?\nAnswer: -7\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 90, 3, 1, -5, 2 in increasing order.\nAnswer: -5, 1, 2, 3, 21, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 PM and 1:20 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -767\/15 + 51. Let x = -19.3 + 24.3. What is the biggest value in -1\/2, -2, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 605\/406 + 2\/203. Let k = -194 + 1360\/7. What is the closest to v in -4, k, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-8 - 137) - (51 + -67 + 11)?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 11:53 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 38  (b) 1\/243  (c) 9  (d) -1\/5  (e) -0.03  (f) 2\/3  (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -92 - -86. What are the prime factors of 5516\/21 + g\/9?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 49*k**3*s**2*z - 2*k**3*z + 6*k**3 + 72*k**2*s**2 - k - 9*s**2*z wrt z.\nAnswer: 49*k**3*s**2 - 2*k**3 - 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v. Let r(q) = -5*q**2 - 31. Determine r(x(z)).\nAnswer: -45*z**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 4*i**2 - 34*i - 26. What is the remainder when 367 is divided by h(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -73*i + 77*i - 4*f, i + 3*f + 11 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3.014647cm?\nAnswer: 0.03014647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3\/16)\/r*r*r*r**41*r*r*r)**(-1\/21) assuming r is positive.\nAnswer: r**(-239\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 695829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f + 1. Let n be j(-4). Solve n*b = -2*c + 23, 11 = 5*b + c - 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2771.\nAnswer: 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 73, 136, 201, 274, 361?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 4*x**2 - 4*x + 5. Let u be v(-5). Suppose u*f - f = -1. Calculate the highest common divisor of f and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 99 and 48213.\nAnswer: 48213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320)*1 + sqrt(320))**2*5 + sqrt(320) - 1*sqrt(320)*4.\nAnswer: -24*sqrt(5) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(88)\/sqrt(128) - sqrt(44)\/sqrt(64))*-1 + -2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 489614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -34, -114, -3, 20.\nAnswer: -114, -34, -3, -1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 4*l**2 - 18*l + 15. Is q(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 600 and 13300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3620660958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -w**5\/9 - 18746*w**4\/9 - 87834380*w**3\/9 + 175743752*w**2\/9 = 0.\nAnswer: -9374, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7 and 84791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/525 and 71\/1155.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*o**4 - o**4 + 2*o**4)*(-7*o - 556 + 556).\nAnswer: -42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*0.20314.\nAnswer: -0.081256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/((-720)\/64))\/(4\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 10418*s - 27201402. Give t(2611).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2355*x**3 + 2*x**2 + 2*x - 269626 wrt x?\nAnswer: -7065*x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(2057)*-2)**2.\nAnswer: -220*sqrt(17) + 8253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -753*o + 1267. Give c(1).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2, 3\/17, -2\/13, -713?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 167.688 + -1.588. Let p = o + -155. What is p rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6753 (base 9) in base 15?\nAnswer: -1729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 875 - 459 + y**2 - 434 + 2*y**2 to h + u*y**2 + t*y and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 + 14*x - 41. Let g be v(6). Solve 0 = -2*f + i + 3, -3*i + g - 16 = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 10.2. Let x = 29\/39 + -1\/13. Let m = -122 + 122. Put x, m, f in ascending order.\nAnswer: m, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -0.031  (b) -5  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 86*u - 82*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1444627 and 59075?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 5*u**2 + 4*u - 1. Let l(s) = 4*s**2 + 4*s. Let f(t) = -3*c(t) + 4*l(t). What is g in f(g) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -8*u**2 + 76*u. Let i(s) = -15*s**2 + 171*s. Let f(o) = -9*a(o) + 4*i(o). Let m(x) = 300*x. Determine m(f(v)).\nAnswer: 3600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 13, e: 5}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6*(-6)\/(-9) - -48. Let c be (-6)\/(-9)*21\/(-2). Let u be 60\/8 + -3 + c\/14. What is the highest common divisor of d and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -213 + 30?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 46091 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 285 + -287. Which is the closest to 0.004?  (a) -0.1  (b) -5  (c) -0.4  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -198 - -203. Which is smaller: m or 72\/19?\nAnswer: 72\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -3*f**4 + 56736*f**3 - 228497760*f**2 + 344657203200*f - 179227414368000 = 0.\nAnswer: 1620, 14052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 19378819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*b*t**4 - 14*b*t**3 + 13*b*t**2 - 9*b - t**4 wrt t.\nAnswer: -96*b*t - 84*b - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -58317256*s**3*w**3 + s**2*w**3 - 7*s**2*w**2 - s**2 + 4271*s*w - 2*w**3 wrt s.\nAnswer: -349903536*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000022976 rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 1:23 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t + 3*s + 21 - 16, -3*t + 35 = s. Let h(o) = t*o**2 - 4*o - 13*o**2 - 5*o**2 + 4*o. Let v(l) = 6*l**2. What is h(v(i))?\nAnswer: -288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-24 - -17) + 0 - -29\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0 = 51. Let t be 10\/20 - x\/(-6). Calculate the common denominator of 71\/14 and (-94)\/(-18) + 1\/(t + -8).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 20*k - 6*k**4 + 2*k**5 + 2*k**3 + 5*k**2 + k**2 - 24*k = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nbblbfbfbbla. Give prob of sequence ba.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1170922522.\nAnswer: 2, 7, 11, 1086199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 4 - 0. Suppose t = 2*z - z. Solve 5*y**2 - 4*y**2 + y**2 + 2 - 6*y + z*y = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -200*n + 303. Let b(s) = 1000*s - 1515. Let v(f) = 2*b(f) + 11*t(f). Differentiate v(d) wrt d.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*q + 103*q = -d + 13, -3*d - 3*q - 21 = 0. Which is the closest to 2?  (a) 20  (b) -0.3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 9399*n**2 + 4*n - 4. Let c = 51 - 49. Let b be s(c). What is b rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 20795053, -4.\nAnswer: -4, -2, 20795053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 5*r + 6. Suppose -15 = -4*n - 19. Let t be (-5 - -9) + (n - -2). Give m(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 656210347, 1312420694, 1968631041, 2624841388, 3281051735?\nAnswer: 3937262082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -493*m + 317 = -1508 - 640 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 - 0.007749.\nAnswer: 9.992251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 9) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -13*u - 62. Let z be p(-5). Solve c + z*o = -8, -c + 0*o = -o - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -c**3*l - 24074*c**3 + 11891*c**2*l wrt c?\nAnswer: -6*l - 144444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 32\/12*(-1)\/(-2). Factor -a - 289\/3*l**2 + 68\/3*l.\nAnswer: -(17*l - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -25*h**5 + 25763*h**3 - 234*h - 25763*h**3 + h**5 - h**4 + h**4 + (2*h**3 - 2*h**3 + h**3)*(2*h**2 + 0 + 0).\nAnswer: -22*h**5 - 234*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1116618 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-406)\/145*(-720)\/1092.\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 150618946 and -5?\nAnswer: -753094730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != 890\/12637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 7, w: 3, t: 7, s: 1, x: 2}. What is prob of sequence tztx?\nAnswer: 49\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of -s**3\/3 - 5*s**2\/2 + 3*s + 89. Let o = -10 + 6. Calculate w(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (25 - 14) - (-4 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (2*(sqrt(52))**2 - 2*sqrt(832))*-2 + 2 + -6*(3 + (3*sqrt(1872))**2 + sqrt(1872) + sqrt(1872)).\nAnswer: -101311 - 112*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**3 - l**2 - 2*l - 2. Let g(r) = -r**3 + r**2 + r + 1. Let n(j) = -2*b(j) - 3*g(j). Let p(h) = h**3 + h + 1. Determine n(q) - p(q).\nAnswer: -2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/(-10) + (-2 - 27559\/(-35)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.038 and 0.3.\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 + 5*c + 6. Let d be (-6)\/(0 + 2 + -1 + 0). Let m(u) = -u**2 + 4*u + 5. Suppose 2*i - 5*s - 8 - 2 = 0, i - 4*s - 5 = 0. What is d*m(g) + i*q(g)?\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j + 726783*j**3 - 726872*j**3 - 2*j + 4*j.\nAnswer: -89*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11878665 is divided by 5939327.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2166183.73 rounded to the nearest ten thousand?\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -2527\/26 not equal to -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 8:40 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 33 - 21. Let j(y) = y**3 - 12*y**2 - 2*y + 3. Let b be j(d). Calculate the remainder when 78 is divided by 6\/b + 284\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-4))\/((-4)\/(-8)). Solve -5*p = -s - 5 + 29, 0 = -s - c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*s + 25 = 100*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*q**2 - q**2 + 8*q**2 - 1 to the form j + u*q**2 + g*q and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 3*a - t, -5*t = -5*a + 1 - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 - (-70)\/(-15) - 36532\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-27)\/(-18))\/((-9)\/(-54)). Find the first derivative of 87*n - 21 - 2*n + 153*n - l - 8 wrt n.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 AM and 7:25 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -38*w**2 + 3130*w + 8500.\nAnswer: -2*(w - 85)*(19*w + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 94 - 72. Suppose j*d - 28*d = -210. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 4*c**3 - c - 3*c - 36 - 100*c**2 + 136*c**2 = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 769519561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q. Let u = 22552 - 22560. Let c(n) = -6*n - 1. What is u*t(j) + 3*c(j)?\nAnswer: -2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-6)*6*(-2)\/1. Which is smaller: y or 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 33*r**3\/2 - 111*r**2\/4 - 21*r\/2.\nAnswer: 3*r*(r - 2)*(22*r + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 4, e: 14}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11078986 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 99808140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*m**4 - 806*m**2 + 431*m**3 - m + 453 - 24*m**4 + 2*m - 433*m**3 + 46*m**4 wrt m?\nAnswer: 24*m**2 - 12*m - 1612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 178\/(-14) - 282\/987\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/17, 9, -0.17, 4\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23.5 - 23.372. Let b = 1.2941 - 1.16861. Let h = b - q. Round h to 4 decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44841.\nAnswer: 3, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 19. Suppose 6 = -0*y + 2*y. Calculate the least common multiple of i and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 1\/3  (b) -35  (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 20. Suppose -2*p = -4*t + 2*p + 12, 15 = -2*t - 5*p. List the prime factors of m(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -104928163*h**3 + 2*h**2 - 9654620*h.\nAnswer: -629568978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1, 1, 3, 7, 13, 21?\n\"Answer: q**2 - 3*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1025132 + 20211?\nAnswer: 1045343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -2 - (-16 - -23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 54\/1453001 and -61\/24.\nAnswer: 34872024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*i**2*j**2 - 2*i**2*j*q + 2198*i**2*j + 12*i*j**2 - 147*i*j*q - 7*i*j + i - 5*j**2*q - j*q wrt i.\nAnswer: -14*j**2 - 4*j*q + 4396*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gffqfugqqfffgfffgl. Give prob of picking 1 u and 3 q.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 1449164496.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4581 is divided by 790.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -95, -2, -7, -1\/2, -255.2 in descending order.\nAnswer: 1\/2, -1\/2, -2, -7, -95, -255.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -215*p - 38. Let l be r(5). What is the common denominator of 3604\/l + 0*(0 + 1) and 37\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2716.1 - 2716. Which is the closest to 2\/7?  (a) 2  (b) -3\/4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, r: 2, g: 1}. Give prob of picking 2 r and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-10)\/3*(-37689)\/3695. Solve -b*d + 198 = 96 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 424 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3093591?\nAnswer: 3, 67, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/16 - -6)*1*20\/(-48).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.026658364 and 1.\nAnswer: -0.026658364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 2, -3, -0.5, 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -142*u**2*y**2 + 2*u*y**2 + 96*y**2 - 3*y wrt u.\nAnswer: -284*u*y**2 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/sqrt(3)*-2 - sqrt(112)*-2 - (1*(-1 + sqrt(700)))**2) + 5*(sqrt(1008) + -1)*-2 + 1.\nAnswer: -690 - 94*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*f**2 - 5*f**2 + 4*f**2)*(13 - 2 - 29).\nAnswer: 162*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -2*w + 3. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -16. Suppose -93 = -5*y - 3*c, -p*y - 32 = -5*y + 4*c. What is the remainder when 5\/3*(1 - -20) is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10413 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t + 320 - 320.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j**2 + j**2 + 6*j**2)*(3*j + 4*j - 5*j) - 5*j + 2*j**3 + 5*j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 15 + 5, 2*s - 92 = 4*o. Let t = -10 - o. Suppose l = 4*l - 15. Solve 1 = j - y, 0*j - t = j - l*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1816002000 rounded to the nearest 1000000?\nAnswer: 1816000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*r = 229*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -38*b*g**2*k**2 - 2*b*g**2*k + b*k + 81*b + 2*g**2*k + g**2 - 78*g*k**2 wrt k?\nAnswer: -76*b*g**2 - 156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-3))\/(6 - 37\/6). What is the remainder when 143 is divided by 616\/18 - u - 4\/18?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 941*l**2 + 10*l - 4. Let w(d) = -4*d. Give w(k(j)).\nAnswer: -3764*j**2 - 40*j + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(9\/2)\/g)\/(g\/((g*g**19*g)\/g)))**(-18))**7 assuming g is positive.\nAnswer: g**(-2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jvujnjnjjxcxnx. What is prob of picking 3 x and 1 j?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of p**5\/120 - p**4\/6 + p**3\/3 + 3*p**2. Let i(d) be the first derivative of f(d). Find the first derivative of i(u) wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 341*b - 109. What are the prime factors of g(7)?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of a**3\/6 - 5*a**2\/2 - 7*a + 5. Let b(q) be the first derivative of v(q). Let g be b(11). Let j(p) = 2*p. Give j(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12760476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 35, 71, 111, 149?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1480, 5939, 13380, 23809, 37232, 53655, 73084?\n\"Answer: r**3 + 1485*r**2 - 3*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0.5, 4, -0.17, 0?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -853 - -857. Suppose -2*f = 2*c - 28, -c = h*f - 55 - 13. Let z be -1 - (-3)\/(3\/199). Calculate the highest common divisor of f and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fdfd. Give prob of picking 2 f and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.1, -0.1, -4, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12\/(-63))\/(4\/6). Let v = 19 - 10. Suppose v*j = 7*j. Which is smaller: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -24.17 and -2920.831554.\nAnswer: -2945.001554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2775.676247 rounded to the nearest integer?\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 16*o**5\/5 + 2376*o**4\/5 + 105177*o**3\/5 + 1350974*o**2\/5 - 4061928*o\/5 - 2544768 = 0.\nAnswer: -80, -141\/4, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 482, -17, 161\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2 - 2 - 210*x + 415*x - 208*x. Let y(v) = 28*v - 10*v + 18*v. What is q(y(t))?\nAnswer: -108*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2409 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 j be 0\/(-72)*2*(-1)\/(-4). Solve j = 3*q - b - b + 14, 3*q + 3*b - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 15 = d - 2*d, 3*y = -3*d - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -139107 - 6*a**2 + 139040 + 4*a - 4*a + a**2 in the form g*a + r*a**2 + p and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 50*c**4 + 4 + 13 + 8*c**4 wrt c?\nAnswer: 232*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-2))\/((-4)\/(-8)) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -13*g - 3 + 4 + 16*g. Let s = 22 + -14. Let q be (-4 - -6)*(-4)\/s. Determine u(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52365516 is divided by 7909?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, v: 13}. What is prob of picking 3 v?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 5*b**2 + 4*b + 14. Let a(k) = -42*k**2 - 33*k - 120. Let s(y) = 2*a(y) + 17*z(y). Suppose -19 = 5*j + 11. Determine s(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404754 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r - 429*r - 5970 = 555*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 50, -1, 45 in decreasing order.\nAnswer: 50, 45, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*b + 9*b - 18*b - 30*b**2 in the form a*b**2 + c + o*b and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4493 - 4475. Suppose 0 = 4*v, 0 = a + 5*v - 68 + 1. Calculate the remainder when a is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, e: 6, z: 1, v: 9}. Give prob of picking 2 e.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 4, y: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -31.1 and -57?\nAnswer: 1772.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -6*f - 5. Let u(l) = -13*l - 10. Suppose 0 = -2*m - m - 27. Let g(t) = m*q(t) + 4*u(t). Give g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 2*z = -5*l + 42, -l - 5*z = -21. Let s be ((-32)\/(-12))\/(4\/l). Suppose f + 4*q - 4 = 0, f + s*f = -4*q + 36. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s**3 + 0*s**3 + 2*s**3 + (2*s**2 - 4*s**2 + 3*s**2)*(-s + 3 - 3) - 16 + 16 - s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum 14462 and 0.3.\nAnswer: 14462.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.58 - 0.02. Let v = 0.3 + g. Let u = -2 + 4. Which is the nearest to u?  (a) -0.1  (b) -2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n - 61. Let q be s(24). Let g be 2\/4 - 1\/(11\/q). What is the closest to 0 in -0.2, g, 3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, s: 1, f: 1, j: 2}. Give prob of picking 1 a and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 24 = -3*r. Suppose 3*v = 78 - 9. What is the remainder when v is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -273 + 0*f + 548 + 3*f - 275. Let h(c) = 14*c + 6. Let t = 5 + 1. Let b(u) = -14*u - 5. Let p(n) = t*b(n) + 5*h(n). Determine p(s(z)).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28181 + 30747. What is the remainder when k is divided by 2555?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 234140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 26*c**2 + 95*c + 21. What is o(30)?\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)\/(sqrt(9)\/sqrt(3)))\/(3*sqrt(72)\/sqrt(6)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 551.006 + -550. Let z = l - 0.006. Which is the nearest to -6?  (a) 0  (b) 3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40104 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*q + 79*q - 140*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 + -119 + (-8)\/2. Let l = 155 + b. What is the remainder when 101 is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3983069.81 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15\/10 + 10\/4. Solve -t = -q, 2*l - t + 18 = t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + 3770\/(-338) + (4 - 4464\/52)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -225583000 rounded to the nearest one hundred thousand?\nAnswer: -225600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2847, -22668, -76463, -181218, -353919, -611552?\nAnswer: -971103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -32965344 divided by 378912?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*h**3 + 4 - 4 - 222*h**3.\nAnswer: -284*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4 + 2*c**2 - 1 + 5. Let a(o) be the first derivative of -8*o**3\/3 - 1. Give t(a(z)).\nAnswer: 128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.69 + -0.36. What is b rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of -l**4\/6 + 5*l**3\/9 - l**2\/2 - 124. Factor c(k).\nAnswer: -k*(k - 1)*(2*k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**4 + 0*q**4 - 4*q**4)*(20*q + 147*q - 49*q)*(2 - 2 - 11)*(1 + 0 - 2).\nAnswer: -1298*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 22, 45, 84, 145, 234, 357, 520?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 133 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 268\/9 - 1073\/36. Let o = r + 29\/180. Is -1 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104) + sqrt(104) + sqrt(104)*2)*-3 - sqrt(104))\/(sqrt(72)\/(sqrt(18)\/sqrt(2))).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3566 is divided by 395?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2154480 to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42 + 45. Solve -13 + 1 = -d*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 260*24*375\/6. Suppose -2*b = b + h. Round b to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 + 34. Suppose -186 + a = -2*i. What is the remainder when i is divided by 1*-1 + 19\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1749 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k*k**(-3\/10)*k*k**(-1\/10))**(28\/3) assuming k is positive.\nAnswer: k**(364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 2*o**2 + o**3 + 2*o**4 - 1 + 69*o - 71*o to the form s*o**3 + z*o**2 + b*o + x + y*o**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 398791384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 934412 and 3950.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 15. Let n(f) = 7*f + 2. Let z(j) = -4*j - 1. Let v(s) = 3*n(s) + 5*z(s). Give v(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1473 and 5401.\nAnswer: 16203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2 = 2*v - 0*v, 0 = -3*v + f + 5. Suppose 4*w - 40 = 2*m, -4*m - 4 = w + 4. Suppose -4*h + 8 = -8. Solve u = v*k - w, -5*u + k + 20 - h = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 25, -2, -3 in descending order.\nAnswer: 25, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 6 = -5*x, -x + 12 = -5*x + 2*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -18, -347, -29, -5, -1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -495, 1, -9, 4 in ascending order.\nAnswer: -495, -9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*l + 373 + 4931. Let s = 313 + l. What is the closest to 1 in 39, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 20, -2*p + 3*l = -l + 6. Suppose -w - 11 = -5*g, p*w - 4*w + 2*g = 1. Which is the closest to -0.1?  (a) w  (b) 1\/6  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 10*i**3 + 4*i**2 + 11*i. Let p(q) = -9*q**3 - 3*q**2 - 11*q. Let g(y) = -3*n(y) - 4*p(y). Find the second derivative of g(u) wrt u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3792010 is divided by 683?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*m + 3*m + 28. Suppose s + m - 19 = -5*x, 5*s - 4 = 3*x. Solve c = -x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 9:17 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 13873 = -31862. Let z be -2 + 1 - n\/(-906). Let a = z - -1\/151. Find the common denominator of a and -51\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*j**2*v**3 + j**2*v**2 + j**2*v - 17*j + 9533*v**3 - 152*v**2 wrt v.\nAnswer: -30*j**2 + 57198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22 - 2*t - 223*t**3 + 26 + 1 to q*t**2 + d + a*t**3 + k*t and give a.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-231)\/30 - (-3)\/(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 6 = u - 4*u, -4*u = -2*k - 6. What is the smallest value in 4, -69, u?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - j + 3 = 0, -3*z - 25*j - 17 = -30*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 12 = 0, 268 - 262 = -3*o + 3*s for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25 - 10) + -11 - (100 + -25 + 22).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/8 + (456316\/(-16))\/7. Round n to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64120 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48663 = 26*v - 48039 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, e: 1, f: 2}. Give prob of sequence an.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-91 + 12672\/132)\/(-23)?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2374*j**6 + 0*j + 0*j - 16*j**2 - 2329*j**6 wrt j.\nAnswer: 5400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99500 is divided by 2554?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -982 - -1349. What is the remainder when j is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -90 + 44 + 4 + -1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 15*c**2 + 44*c + 4. Let n be k(-15). List the prime factors of (2\/4)\/(2\/n*-1).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l - 2 + 2)*(4*l**2 + 11*l**2 - 11*l**2) + (-2*l + 2*l - l)*(2*l**2 - 2*l**2 - l**2) as f*l**2 + j + g*l + w*l**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 130*k - 12. Let x(j) = 186*j - 18. Let o(s) = -10*d(s) + 7*x(s). Let p(c) = 3*c - 11. Give 7*o(u) - 4*p(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of -q**7\/105 - 19*q**6\/480 - 7*q**5\/120 - q**4\/32 + 4*q**2 - 14*q. Find v such that s(v) = 0.\nAnswer: -1, -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2\/280077, -3\/2, -14 in increasing order.\nAnswer: -14, -3\/2, -2\/280077, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/20 + -1 - (2 - 42\/5). Let d(a) = -a**2 + 24*a - 15. Let m be d(10). What is the greatest common divisor of l and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 587, 5, -25, 1, 0, 7 in decreasing order.\nAnswer: 587, 7, 5, 1, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 0*p = -v + 10, 0 = -2*p - 4. Suppose v = -f - 5*g - 6 - 11, 2*g + 50 = -4*f. What is the least common multiple of 129\/15 + (f\/5)\/4 and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110010101 (base 3) to base 15.\nAnswer: -2944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*1\/2*30*18\/1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -3*i + 2. What are the prime factors of q(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 22 = b, -2*b = -2*j + 4 + 16. Suppose -d - 3 = 3*x - j, 5*d = -x + 25. Solve -4*g = -2*y + 2, -d*y - 17 = -3*g + 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 156270.5km to micrometers.\nAnswer: 156270500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -296444 greater than or equal to -296454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**2 - 957362*g + 45957984 = 0.\nAnswer: -478729, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 89118*v - 178235*v + 89106*v. Let n(y) = 453*y. Give a(n(u)).\nAnswer: -4983*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -21*v + 167. Let t be j(8). Let y = 14 - 15.2. Let g = y + 0.7. What is the third smallest value in t, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 0.1383\nAnswer: 0.4149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 103237680 a multiple of 4524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - x - 25*x + 1 - 5*x.\nAnswer: -31*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 453303989.\nAnswer: 97, 4673237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -y + 2*f - 8, -2*f = 3*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37 + 26784*k - 1225*k + 37.\nAnswer: 25559*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 210 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*p - 59*p + 36 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20399 - 20158. Calculate the remainder when l is divided by 238.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -208 divided by -41\nAnswer: 208\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11457 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1818\/707*(245\/(-10))\/(6\/(-4))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, n: 3, l: 3}. What is prob of sequence lz?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 231536 and 5104.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 1545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a + 3. Let l = 99 - 96. Let f = -14 - -22. Let s(i) be the first derivative of 3*i**2\/2 - 8*i + 4. Calculate f*b(q) + l*s(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 2*m + 8 = 0, -4*g + 3*m = -m + 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -18*j - 112*j - 889 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**2 - 16 + 7*w**2 - 5*w**2 + 16 + 0*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n**3 + 49*n**2 - 8*n = 0. Calculate n.\nAnswer: 0, 1\/6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-4))\/(((-17)\/((-1700)\/210))\/(-3)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4940624 and 1378?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of g**3\/6 + g**2 - g. Let q be k(2). What is the third derivative of q*z**2 + z**5 - 2*z**2 - 3*z**2 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a = 4*a - l + 35, -5*a = -5*l - 65. Solve -2*h - h = -a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 10225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:13 PM and 4:41 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3934 divided by -562.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19740158 by 3.\nAnswer: -19740158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j + 1862 = -j. Let t be (j\/7)\/((-190)\/(-62) - 3). Suppose -2*n = -4*a - 4*n + 2336, 3*n = -a + t. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y + 7155850 = 206*y. List the prime factors of y.\nAnswer: 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 1 = 0, 39*z = -p + 44*z + 33. Let q(s) = -36 - p - s + 97 - 33. Let d(y) = 486*y**2. Determine q(d(c)).\nAnswer: -486*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16001 is divided by 502?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6.347866m?\nAnswer: 6347866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -99 + 95. What is the nearest to -0.036 in l, 0, -1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5997, -2\/7, 2\/3 in decreasing order.\nAnswer: 5997, 2\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (504\/(-6300))\/((-1)\/(-25)*-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*i - 2*s = 226*i - 455*i + 32, 5*i = -2*s - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the second derivative of -3\/2*f**5 + 0*f**4 + 0 + 0*f**3 + 13*f**2 + 3*f. What is the first derivative of u(k) wrt k?\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10\/(-24)*((-9452)\/(-119) + 4). Which is bigger: k or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7828 - 24906617798.\nAnswer: -24906625626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 1693*l - 49629. Give i(29).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/4872784 and 53\/24101.\nAnswer: 53600624","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is 4391 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: Solve -5*k + l + 309 = 297, 3*l + 8 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1192549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31*a**3*h**4 - 6*a**3*h**2 + 1146*a**3*h - 4*a*h**3 + 202*h**3 wrt h?\nAnswer: 744*a**3*h - 24*a + 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 4:28 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 387016 is divided by 21018?\nAnswer: 8692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 6*n**2 - 1. Let i be b(-1). Let r(x) = -6*x + x + i*x - 5*x**2. Let u(f) = -2*f. What is u(r(h))?\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22616240 is divided by 35173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 418*4.\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -156693 and -2.\nAnswer: -156695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 31121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 52 and 702?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6244 times -0.8?\nAnswer: -4995.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 3)*(0 - 6 - 1)*(2*d - 5 + 5).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of 4*j + 0 + 0*j**3 + 1\/6*j**4 + 0*j**2. Let x(m) = 23*m**2. Give x(o(s)).\nAnswer: 92*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68 + -38. Suppose m = -2*p - 2*m + 12, -5*p + h = -m. Suppose q - 33 = -4*s - p, -5*s = -4*q + 24. Calculate the least common multiple of q and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 6*b**2 + 12*b + 97. Give x(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from vvvvvbvbbvvyvbbvbyv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2405\/24420 + (-1)\/(-12)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 385639045 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 363680154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 53935496 to the power of 1\/2, to the nearest integer?\nAnswer: 7344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o = -104 - 32. Let s(b) = 2*b**3 - o*b - 14*b**2 - 3*b**3 - 3 - 24. Is s(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 16 = -0, 4*x = 4*m - 84799984. Round x to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -1561*k - 64047. What is d(-41)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of -2*h**2 - 3*h - 1. Suppose 1044 = 8*z + 1052. Let v(o) = o. What is z*f(a) - 5*v(a)?\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/48 and -47\/132?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10595.9969395 - 10596. What is a rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**5 + 2*j**5 - 2*j**5 + 2*j**5 + 3*j**5 - 6*j**5 + (-5*j - j - 2*j)*(3*j**4 + 3*j**4 - 7*j**4).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 51\/(-135) - (-14)\/(-63). Which is the third smallest value?  (a) 3\/5  (b) m  (c) -3  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 + 7*t**2 + 1. Let x be d(-7). Let q be -4*(x - 0) + -32. Let a = -254\/7 - q. Sort a, 4, -1\/3.\nAnswer: -1\/3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 832 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 PM and 8:05 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -208.99999823 + 209. What is x rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (17\/((-102)\/(-10)))\/((-2)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/5*i**3 - 3\/5*i**4 + 6\/5*i**2 + 0*i.\nAnswer: -3*i**2*(i - 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 2 + -13 + (-4 - (-74 - -21)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f. Let r(t) be the second derivative of -1\/24*t**4 + 0*t**3 - 1\/2*t**2 + 0 - 3*t. Let y(l) be the first derivative of r(l). Determine o(y(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95*r - 131 - 213 = -59. Suppose 2*x + 12 = 2*p, -2*x + 13 = 4*p - 23. Suppose 6*d - p = -s + 2*d, 0 = -4*s - d + 2. Solve s = -g + r*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-75)\/350*(-255)\/72 + 16\/(-28). What is the closest to -4 in -2, -0.2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 93780 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 + 6*p**2 + p**3 + 11 - 2*p - 2*p**2. Let m be k(-4). Solve f + 6 = -i, -f = i + m*f + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(17) + -2) - (sqrt(425) + 1 - sqrt(425)))*1 + ((sqrt(102) + (sqrt(102) - 1*sqrt(102)))*-5)\/(sqrt(72)\/sqrt(3)))**2.\nAnswer: -91*sqrt(17) + 1509\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 5:36 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 7 = -3*v + 30, -5*c = 5*v + 55. Let d be ((-1)\/5)\/((-4)\/c). What is the closest to 0 in d, -2, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h - 3. Let y be z(3). Let b(l) = -14*l**3 + l**2 - l - 1. Let g be b(-1). Let x = 15 - g. Solve y*u = 5*v + u + 25, -3*u = x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -551543130 minus 3?\nAnswer: -551543133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 - 9*y**2 - 9*y - 8. Let q be r(-8). Let g be -10 + (28 - 3) - 50\/5. Solve -g*t = -q*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 - 19.4. Put q, -5, 0.5 in decreasing order.\nAnswer: q, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 + 1439 = 9*j. What is the highest common factor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 11*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 (base 12) in base 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -283 greater than -283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y - 8. Let j(n) = -5*n**2 - n**3 + 36*n + 2*n**3 - 41*n. Let x be j(6). What is b(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*b + (-1 - 3 + 2)*((-b + 3 - 3)*(2 - 4 - 1) + 0*b - 2*b + b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 256152 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 881*i**3 - 1093*i**3 - 2*i + 2*i.\nAnswer: -212*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 y, and 1 d when three letters picked without replacement from {y: 2, x: 1, d: 1, c: 1, l: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1\/5, 0, 71, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/55*(10\/30)\/((-12)\/(-990)*-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of f**6\/120 + f**5\/15 - 5*f**4\/24 + 7*f**3\/6 - 3*f**2. Does 3 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from eeeetemeeoettte?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -982905 divided by 6105\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 341 - 197. Calculate the highest common divisor of 48 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -4, -1 in increasing order.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of -15*w**2 + w - 1. Let x be u(-3). Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*n - 2743 - 785 = 0 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14303 is divided by 188?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3958.29925 + -3952.3. Let j = -10 + 16. Let n = y - j. Round n to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 - (20\/5 + -6). Solve y = d + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 AM and 4:29 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j. Let b(m) = -867*m**2 - 71*m. Calculate b(l(k)).\nAnswer: -7803*k**2 - 213*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 1, 0.04, 3692, 3, -3.15?\nAnswer: 3692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/19, 4, 0.4, 103?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 517\/20 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24650 - 3374 = 54*w - 64908. What are the prime factors of w?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31 - 32 - 9*i**2 - 13*i**2 + 4*i - 3*i - 9*i**2 to b*i**2 + w*i + k and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-93 + 93 - 19*t)*(2 + 0 - 3).\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2543 a factor of 190857236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3064535776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.8 + 1.2. Let x = 70 + -69. Let d be (-36)\/45 + (-2)\/(-5). What is the fourth biggest value in x, d, p, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r + 4*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48*d**3 + d**2 - 48*d**3 - 4*d**5)*(3 + 6 - 4).\nAnswer: -20*d**5 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w + 11*u - 14*u = -3, 4*w = 2*u + 3 + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -321034 (base 7) to base 10\nAnswer: -55591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(2\/13))**19*o**11\/o**(-9))**(19\/5))**(-5\/2) assuming o is positive.\nAnswer: o**(-2831\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 AM and 2:31 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 100 and 480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.8 + -3.2. Let r = 132.42 - 132. Let a = 0.42 - r. Sort m, a, -1.7 in descending order.\nAnswer: a, -1.7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -983*g**2. Let j(b) = -2*b**2. Calculate j(m(l)).\nAnswer: -1932578*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 + -0.3. Let u(m) = -3*m + 13. Let s be u(6). Which is the third biggest value?  (a) 0.1  (b) n  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -6*f - 15. Give i(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 7 = 3*o - 17, -12 = -v - 4*o. Let p(k) = 7*k - v*k + 6*k. Let i(s) = 14*s + 1. Let c(l) = -i(l) + 6*p(l). Give c(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of -5*o**4\/24 + 3*o**2 + 9. Suppose -g - 36 = -5*g. Let x(l) = l. What is g*x(t) + 2*j(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.79 - 101.79. Let i = h - -217. Let x = 116.0000059 - i. 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: What are the prime factors of ((-144)\/27)\/((-6)\/495)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-20)\/(-4830))\/(3\/7). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j = 12*j - 130. Let u(o) = -4*o - 11. Let h be u(-6). What is the greatest common divisor of h and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/10)\/(9\/27) - 2. Which is the biggest value?  (a) z  (b) -4  (c) 0  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/5, 82, 3, -2.3, -2, -3 in descending order.\nAnswer: 82, 3, 9\/5, -2, -2.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**4 - 29*y**2 + 0 - 6*y + 9 - 7 + 28*y**2 + 49*y as t*y + p*y**2 + v*y**3 + o + l*y**4 and give t.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/8*721\/(-309)*10\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = k - 6. Suppose k = 2*l + 2. Let w be (0 - 2\/6)*-3. Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.338+-4\nAnswer: -4.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 140031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -0.04, -0.88, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3*k - 21. Let p = -29 - -22. Let n be t(p). Solve n = -4*h + 4, 8*h - 3*h - 5 = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (1816\/4)\/(1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - -10)*(-2)\/(-4). Solve -5*f + 2*f + 1 = -5*y, 0 = f - q*y - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/340 and 97\/68050.\nAnswer: 2313700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5\/3)\/(5\/6). Solve 0 = -y*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/k**(1\/36)*k*k\/((k\/(k*k**13*k*k))\/k)*k*(k\/((k**19*k)\/k*k))**(7\/2) assuming k is positive.\nAnswer: k**(-1675\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 2*a - 99000, 4*a = 5*a - 4*p - 49482. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 2350*m**2 - 2*m - 1. Let w(c) = 4684*c**2 - 5*c - 2. Calculate 5*p(t) - 2*w(t).\nAnswer: 2382*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -2226 not equal to -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, m: 2, f: 1, q: 4, g: 1}. What is prob of sequence mm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -5*j**3 + j**2 - 3*j - 2. Let r(q) = q**2 - 11 + 3*q - 5*q - q**3 + 10 + q. Let f be ((-2)\/(-1))\/(-7 - -9). Calculate f*d(a) - 3*r(a).\nAnswer: -2*a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/25 of a day?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1821 - -72?\nAnswer: 72.1821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 11:55 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(4\/1)*0. Suppose -2*o - 2 = n, o - 118 = -2*x + 189. Let v = x + -92. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3120 (base 5) to base 4\nAnswer: -12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.238, -2389.4, 0.3 in decreasing order.\nAnswer: 0.3, -0.238, -2389.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2 + 1 + 19 + 81*l wrt l?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 487 > 63684\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -6*q - 14. What is the units digit of 1143\/27 + q\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 8, m + 28 = 2*m + 5*k. Suppose -m = -y - 6. Calculate the remainder when -1 - (-2 + 2) - -23 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.59468l in millilitres?\nAnswer: 31594.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1560be (base 15) in base 7?\nAnswer: -11531312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -378 + 371 + (-4 - -2) + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 109 - 79. Let b be (-1018)\/(-10) - 1\/(-5). Suppose -k - b = -4*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 463376716*c**3 + 490771847*c wrt c?\nAnswer: 2780260296*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 7*v - 1. Let w(n) = 6*n. Let p(r) = 2*g(r) - 3*w(r). Let d(y) = -9*y - 5. Let j be 21\/(30\/(-12) - -4). Give j*p(h) - 6*d(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, z: 4, g: 2, l: 1, q: 3}. What is prob of picking 2 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 32738 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101278720.\nAnswer: 2, 5, 131, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 124  (b) -3  (c) 4  (d) -2  (e) -1  (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 4, 44, -3, 3, -557.\nAnswer: -557, -11, -3, 3, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3882 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4940 minus 9?\nAnswer: -4949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 13 + (4 - 25) + (31 - 19) - -33\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33427 = 36*l - 89009. List the prime factors of l.\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -23013 + -34?\nAnswer: -23051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -5 + (17 - (15 + 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7778*-294\nAnswer: -2286732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -15620, -4\/9, -22, -0.5.\nAnswer: -15620, -22, -9, -0.5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111743 is divided by 27772?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10 - (4 + 2 + -8 - 1). Solve -9 + p = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 154, -1 in decreasing order.\nAnswer: 154, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 6*i - 3 = 0, b - 54*i + 51*i = 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/184, -4, -206, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1339, -2682, -4025, -5368?\n\"Answer: -1343*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -2\/19, 0.2, 5, -99, 0.338?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 5:38 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/29  (b) 8  (c) 0.5  (d) -5  (e) -0.09  (f) 5  (g) -548\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 358.7938km in millimeters?\nAnswer: 358793800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of ((-30688)\/(-411))\/(1\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*q - 104*q + 275*q.\nAnswer: 235*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3946 + -250?\nAnswer: 3696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39.91108 decades to years.\nAnswer: 399.1108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 PM and 11:25 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 1481*s**3 + 3*s - 2. What is the units digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4109, -4153, -4197, -4241, -4285, -4329?\n\"Answer: -44*x - 4065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47 (base 9) to base 12.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-104)\/12 + (-1)\/3. Let d be 4\/((-12)\/h) - 0. Let i(a) = 3*a - 3. Calculate i(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 93485 and 20884549.\nAnswer: 104422745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 407\/928 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -211, -216, -201, -166, -111?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 769296 is divided by 102?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-2\/11))**(1\/11)*(f**(2\/13))**(5\/13) assuming f is positive.\nAnswer: f**(3407\/20449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 599499 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y**2 + 0*y**2 + 0*y**2)*(-5*y**2 + 5*y**2 + 4*y**2) + 9*y**4 - 23*y**3 + y**4 + 0*y**4 to r*y**2 + g*y**4 + m*y + h*y**3 + p and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 8:37 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1172 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(68\/(-5))*(-92)\/(-115).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l**3 - 34*l**2 + 31*l + 16. Let j be g(16). Let y = 0 + 0.3. Which is the third smallest value?  (a) y  (b) j  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7936*g + 7926*g - 15870*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggggkkkkgkggnkkggggk. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 16.6312857+7.69\nAnswer: 24.3212857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + (-9)\/(-6))*-2*4. Let l be (-15)\/(-8)*46\/(-69)*c. Let m be 101\/(-3) - (-4)\/6. Put 4, m, l in decreasing order.\nAnswer: l, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 7:35 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 290468, 290469, 290470?\nAnswer: 290471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 - 47*a**2 - 128*a - 58. Let v be s(50). Calculate the highest common divisor of 5 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-6*((sqrt(2057) + 3 + sqrt(2057) - sqrt(2057)) + -2 - (sqrt(2057) - ((sqrt(2057) + -4 - sqrt(2057))*6 + sqrt(2057)))) + 4)**2.\nAnswer: -162360*sqrt(17) + 834568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 596719021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 0.1, -0.126.\nAnswer: -3\/2, -0.126, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 n when four letters picked without replacement from {n: 2, k: 1, y: 1, x: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1952 by 260.\nAnswer: -488\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-2))\/(x\/x**(-2)))**(-1\/11) assuming x is positive.\nAnswer: x**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 48.672 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**2 - 210. Let p(j) = -2*j. Determine p(i(l)).\nAnswer: -6*l**2 + 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 135*a**2*g**3 + 2*a**2*g + 2*a**2 + 2*g**2 wrt g?\nAnswer: 810*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 58 or 42?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -5*a + 12. What are the prime factors of w(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21 + 25523?\nAnswer: 25544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 789167, 3156625, 7102381, 12626435, 19728787, 28409437?\n\"Answer: 789149*f**2 + 11*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 366*j**2 - 615*j**2 - 357*j**2 - 4.\nAnswer: -1338*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*q**2 + 46*q - 99*q - 194*q**2 + 53*q.\nAnswer: -124*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12374891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - 8*r - 30. Let m be t(8). Let z = -30 - m. What is the nearest to 3\/7 in z, 4, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-29232)\/435)\/(-42)*(-150)\/(-56)?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 u, and 1 y when three letters picked without replacement from {a: 1, u: 2, p: 1, y: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 4*l - 9, 2*l - 4 + 11 = n. What is the third derivative of 4*r**2 + 4*r**6 - 4*r**4 - r**4 + n*r**4 wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*i + 56875 = 76*i. What is the highest common factor of 50 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2654*t + 2549*t - 366*t + 2099*t.\nAnswer: 6936*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 356314 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - -1)*3\/(24\/964). Let n = 245 - k. Solve -2 + 10 = -n*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1728)*5 - sqrt(27))\/(4*sqrt(1089) + sqrt(9))*-2.\nAnswer: -26*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2233 = 3*y - 5*n - 2260, -4*n = 24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13079.\nAnswer: 11, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13 - 55 - 67 - 14 - 30)*(-9*r + 2*r - 2*r) to d + x*r and give x.\nAnswer: 1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0118 and 0.2.\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 2*l - 1. Let d be k(-3). Suppose -d*p + 7*p = 20. Solve -p*v - 27 = -3*c - 0*c, c = 3*v + 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6024 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from ookoqqqjojqkqqqaj?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 14312028959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 + 9*w**2 - 7*w + 1. Suppose -5*u + 0*r - 3*r + 47 = 0, -3*r + 12 = 0. Is v(u) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/2*5\/2. Let w be (-1)\/(-2)*6\/3. Which is bigger: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 226 by 584.\nAnswer: 113\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {g: 4, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -3) + (-2 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-30)\/4*(-8)\/5. Let o = u - 15. Let w(f) = f**3 - f**2 - 52*f + 20. Let s be w(-7). Put -4, o, s, 3 in ascending order.\nAnswer: s, -4, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 13) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1088) + 0 + sqrt(1088) + 0 + -5*(4 + 2*sqrt(1088) + sqrt(1088)))**2.\nAnswer: 3952*sqrt(17) + 184233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -147*g**4 - 2*g**2 + 47*g - 51*g - 13*g**2 + 2*g**3 wrt g?\nAnswer: -3528*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1836920 divided by -20.\nAnswer: 91846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 0.05  (b) 0.167  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 3*x - 157 + 136 = 0, 4*s + 26 = -2*x for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 157626009?\nAnswer: 3, 67, 173, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - -7 - 0) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 475, 950, 1425, 1900, 2375, 2850?\n\"Answer: 475*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 84*f**2*i*u**2 + f**2*i - f**2 - f*i - 1360*i*u**4 + 629*i + 134 wrt u?\nAnswer: 168*f**2*i*u - 5440*i*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + n - 3*b = -50, 5*b - 250 = -5*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: Sort -4, -899, -1.\nAnswer: -899, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g**2. Let m(k) = -2*k + 4. Let y(s) = -11*s + 11. Let w(h) = -14*m(h) + 4*y(h). What is w(q(x))?\nAnswer: -32*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19527767 + 19527662.99823. Let g = f - -104. Round g to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = -4*z + 181 - 18, -704*z - 47 = -705*z + 2*y for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/2)\/((-14)\/(-28)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 143431064 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - 4e?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1564863644 divided by 2\nAnswer: -782431822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 111465\/1456 + 740\/91. Let g(t) = 20*t - 5. Let y be g(-4). Let v = y + n. Calculate the common denominator of 23\/6 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 6 + 2*t**2 + 18222*t - 18226*t + 3*t**3 - 2*t**3. Calculate y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54385.5935 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2240314342 - 1431?\nAnswer: 2240312411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 37*y - 1. Determine u(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 - 26*a**2 - 52*a - 48. Let s be t(28). Suppose -s = -3*m - d, 3*d - 16 + 4 = 0. Calculate the lowest common multiple of m and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*n*v**2 + 196256*n + 98762*v**4 + 35*v + 2 wrt v.\nAnswer: -4*n*v + 395048*v**3 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + o - 320, 832 = -5*d - 2*o - 768. Is d greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -17. Find the common denominator of -1\/3 and (30\/22)\/(7\/o).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 145*j**3 + 7524*j**2 - 2963*j**2 - 4561*j**2.\nAnswer: 145*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -8*l + 168. Let m be x(20). Solve 0 = -4*z - 4*u + 4 + 4, -3*z + 4*u - m = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -19*s - 101. Let i be k(-6). Solve i*l - 8 = -60 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.47 plus -11722.2?\nAnswer: -11721.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1203, 2434, 3665?\nAnswer: 4896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 3 + 1)*(t + 0*t + 2*t) - 1 + 1 + t - 2*t - 3*t + 4*t)*(-7*t - 25*t + 17*t).\nAnswer: 135*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v. Suppose 2*g - 299 = o, 5*g = -2*o + o - 278. Let w = -295 - o. What is b(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**2 + 26. Let u(z) = z. Let c be 175\/210 - (-6)\/36. What is c*p(m) - 2*u(m)?\nAnswer: 2*m**2 - 2*m + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f**2 - 327385*f + 29424150 = 0. What is f?\nAnswer: 90, 65387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 3, -3, 14, 4 in decreasing order.\nAnswer: 14, 4, 3, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.16 and 25.\nAnswer: 24.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/22 - (-6)\/(-33). Suppose 3*l - 6 - 6 = n. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 + d - 1. Let c = 2 - -1. Suppose -5*k = -c - 2. Let o(j) = j**3 - 3*j**2 + 2*j - 2. Let l(y) = k*o(y) - 2*f(y). Factor l(u).\nAnswer: u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.032159503 rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -139 - -334. Let f = -132 + z. Let g = f + -48. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j**(-6)))**(-19) assuming j is positive.\nAnswer: j**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/27 and 79\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 5, v: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -11a0bb (base 13) to base 5\nAnswer: -102000403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.51?  (a) -5  (b) -1  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from omnggmomnmeem. What is prob of picking 1 m, 2 e, and 1 o?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of -11408*s**5\/5 + 10961*s + 10164. Differentiate o(y) wrt y.\nAnswer: -45632*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 297.2 - 47.2. Let n = l - 479. Let o = 229.0141 + n. What is o rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2025*m. Let n(l) = 46*l. Let x(t) = -175*n(t) + 4*v(t). Let z(b) be the first derivative of -2*b**3 - 139520. Determine z(x(c)).\nAnswer: -15000*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 4*h**2 - 21*h - 42. Is o(-13) 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) 1888  (b) -6  (c) 2\/5  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23 + 54. Let f = p - -11. Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1203302 + -1023?\nAnswer: 1202213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -148, -296, -444, -592, -740?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -53*j**3 + j**2 - 3*j + 1. Let h be m(1). Which is smaller: h or -53?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 461 - -26. Suppose -5*j + 843 + b = 0. Round j to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32678 is divided by 16332.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i*i**(8\/5)*i*(i*i**(-22))\/i*i*i*i**(-4\/5)*i*i\/i**(-3\/8)*i*i assuming i is positive.\nAnswer: i**(-473\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 29\/5 of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -p**4\/6 - 63*p**3\/2 - 3969*p**2\/2 - 83349*p\/2 = 0?\nAnswer: -63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -7*o**2 - 95*o - 145. What is g(-16)?\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 14, a: 2, y: 1, b: 2}. Give prob of picking 3 k.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 161259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 410 = 5*k - 5*x, x = -5*k + 398. What is the units digit of (0 - -3)\/(24\/k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13 - -104) + (-24 - (25 + -36) - 4)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 452 + 14?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -179919 divided by -179919\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 37*b**4*k - 10*b**4 + 10*b**3*k + 2*b**2*k + 23705*b wrt b?\nAnswer: 888*b*k - 240*b + 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 205 divided by -1?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 24281506 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ezz when three letters picked without replacement from {e: 1, z: 5, d: 1, n: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 24395, 48796, 73221, 97682, 122191, 146760?\n\"Answer: 2*z**3 + 24387*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1635 divided by -3.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19520392 to the nearest integer?\nAnswer: 4418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*j - 68*w - 449 - 87, w = -2*j - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002087 rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (20 - 2)*2\/4. Suppose -4*n - 50 = -i*n. Suppose -2 = -4*f + n. Solve 3*m - 9 = -f*q, m - 4 = -5*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 46 + -49.08. Let k = t + 0.08. Which is the third smallest value?  (a) 2  (b) k  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the third derivative of m**3\/6 + m**2. Let b(p) be the third derivative of -5*p**4\/24 + p**3\/2 - 5*p**2 - 678*p. Give -b(j) + 3*n(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2153*o - 83960. Calculate a(-39).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229 - 84 = -29*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(4 + 2*(1 + sqrt(637)) + (-1 + sqrt(637) + 1)*-4 + -1 + 2))**2.\nAnswer: -196*sqrt(13) + 2597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 69765 divided by 15?\nAnswer: 4651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 425458 is divided by 1270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 6658\nAnswer: 3\/6658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*z + 10*z + 8. Let c = -1 - -2. Suppose -3*v + 8 = 2*j - 8, v - 14 = -5*j. Sort c, j, z in descending order.\nAnswer: j, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 331354486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7366.867 days in seconds?\nAnswer: 636497308.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1720781.\nAnswer: 1720781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**4 - 816*d**3 - 57248*d**2 + 5300736*d - 84396032.\nAnswer: -2*(d - 28)**2*(d + 232)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -s**3 - 1221*s**2 - 496947*s - 67419143 = 0?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-2) - (-1)\/(-2). Let q be 20\/(1 + 9) - 95\/35. Which is bigger: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -961765, -3846797, -8655177, -15386899, -24041957, -34620345, -47122057, -61547087?\nAnswer: -77895429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 620*c = 269*c - 386*c - 434*c - 52695 for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 5*j + 209 = 218, 4*c + 2*j + 18 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/12)\/((-3)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/252 and 67\/126?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*g - 0. Let a(l) = 10*l - 17. Let f be a(2). Let m(t) = t**f - 3*t + 6*t + 2415*t**2 + 1 - 2412*t**2. Determine m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 15. Let c(a) = 2*a**2 + 4*a - 5. Calculate the least common multiple of c(p) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 times 0.0389?\nAnswer: 0.8947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.133 rounded to one dp?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 + -21. Suppose -q - t = q. Let g = 26 + q. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -4*o**4 - 3*o**2 - 3*o - 16. Let s(c) = 7*c**4 + 5*c**2 + 5*c + 32. Let x(q) = -5*p(q) - 3*s(q). Differentiate x(u) wrt u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/28)\/(5\/(80\/18))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31203\/9107 - -3\/1301. Which is greater: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000314450754 to seven decimal places.\nAnswer: 0.0003145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 70440668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3*z - 16 + 64 = 0, 0 = -2*l - 3*z + 15. Solve -3*r + 3 = -l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 11 + 4 = 0. Suppose 3*m = 4*m + h. Sort -2, m, -7.\nAnswer: -7, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssbz when four letters picked without replacement from {z: 4, s: 2, q: 12, b: 2}?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y**2 - 37*y - 4. Let u(d) = 2*d**2 + 14*d - 4. Let l be u(-8). Let g be p(l). What is the remainder when 15\/5*(1 - g) + 3 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -451*s**2 + 15818*s - 1170. Give q(35).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 616*3\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f + 3*f + f)*(17 + 21 - 15)*(-4 + 4 + 3).\nAnswer: 69*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 11. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -5. Let j be 2 + (24\/10)\/(27\/90). Suppose 0 = j*t - 11*t. Solve t*r = 3*l - 5*r - 5, -5*l - p*r - 41 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -95362  (b) -0.07  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 + 3 + -3 + (-8 - 2 - -5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -23, -20\/3, 0.18, -1.8, -8.7?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from ffffftffttffffffft.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 347233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 103 and 2196?\nAnswer: 226188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/2 - 507*i - 14985\/2.\nAnswer: -(i + 15)*(i + 999)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003518712069 to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3\/5, 729, 0.5, -0.2, -0.3 in ascending order.\nAnswer: -3, -0.3, -0.2, 0.5, 3\/5, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -50.75*1.7\nAnswer: -86.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -5*m + 9. What is t(12)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(119) - -2*sqrt(119) - sqrt(119))*1)\/(sqrt(14)\/sqrt(2)*-2 + sqrt(63)\/(1*sqrt(9)))*4.\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/7 + 13*p\/7 - 114\/7.\nAnswer: (p - 6)*(p + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 2 v, and 1 u when four letters picked without replacement from wwvwwwvwmumrwvmv?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 11:58 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 525*u - 225*u - 328*u + 9*u**2.\nAnswer: 9*u**2 - 28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + u + 6362, 6*u = t + 8*u - 1268. List the prime factors of t.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1045011421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)*2*1 - sqrt(132))\/(-3*sqrt(972)))**2.\nAnswer: 11\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -214*b - 8. Let o be y(8). Let f = o + 5720. Round f to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u - 3 - 3*u - 3. Suppose -3*i - i - 24 = 0. Let c(q) = q + 1. Let n(d) = i*c(d) - w(d). Let y(z) = 2*z**2. Give y(n(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minus -1305182.568833?\nAnswer: 1305184.568833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 45\/8 of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 0 - 10*(-12)\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 26*i**2 - 27*i - 6. Determine q(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/1333024 and -39\/1904320?\nAnswer: 13330240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = -9*d + 30 - 1, 0 = 72*d - 76*d + y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, g: 5, y: 5, u: 2, c: 2}. Give prob of sequence uy.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, e: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**3 - 3*k**2 - k - 7. Determine m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 5*j = 40, 0 = 2*x + j - 17 - 17. Is (18\/x)\/(2\/305) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*2 + (-30 - -8 - -237). Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -288*k + 288*k - 4*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(576) + sqrt(576) + (sqrt(576) + sqrt(576) + (sqrt(576) - (sqrt(576)*-2 + sqrt(576) - sqrt(576))) + sqrt(576) - sqrt(576)))\/sqrt(192)*2.\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.52?  (a) -7  (b) 0  (c) 2\/27  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}