{"text":"Question: What is 32565390 rounded to the nearest 10000?\nAnswer: 32570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1221 + 1220?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.02 - 0.12. Which is the closest to 0?  (a) -2  (b) l  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 158284120*h + 44930624.\nAnswer: 158284120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -637000 + 637003. Factor 24\/7 - 2\/7*i**h + 16\/7*i**2 - 38\/7*i.\nAnswer: -2*(i - 4)*(i - 3)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2067, -8070, -18071, -32070?\n\"Answer: -1999*v**2 - 6*v - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 3 + 18*l**2 + l - 10*l**2 + (10 - 20 + 2)*(-l**2 + 2*l - 2*l) - 4*l**2 - 4*l**2 + 6*l**2.\nAnswer: 14*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(68)*1)**2 - sqrt(68))*3 + sqrt(68)\/(sqrt(144) + sqrt(4) - sqrt(4))*5.\nAnswer: -816 + 149*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + g + 2586 = -0*h, 5*h - 6468 = 4*g. Let z = h + -842. Suppose -z = -5*o - 55. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -2, -2883619 in decreasing order.\nAnswer: 4, -1, -2, -2883619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38 + -35. Let w(k) = 4 - 69*k**2 - q + 73*k**2. Is w(2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138 divided by -23.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4460 divided by 5\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2698 and 2130.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2452 (base 12) to base 10.\nAnswer: 4094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/2)\/k*k)\/k**(-5\/2))\/(k*k*(k\/k**(-2\/9))\/k*k**5*k) assuming k is positive.\nAnswer: k**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103373298 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 5*h**3 + 33*h**2 - 15*h - 5. Let v be n(-7). Solve u + t + v = 5, -4*u = 2*t - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p**2 - 262*p + 4178. Calculate f(21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8460015*d - 492*d**3 - 2117823755 + 974*d**3 - 11265*d**2 - 487*d**3.\nAnswer: -5*(d + 751)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -230, -237, -244?\n\"Answer: -7*j - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -4*a + 10. Suppose 0 = -3*v + 11 - 2. Let u(w) = -2*w + 0*w + v*w - 2 - 1. Let o be ((-2)\/6)\/((-9)\/54). What is o*j(n) + 7*u(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 2\/15, 0.5, 98 in decreasing order.\nAnswer: 98, 7, 0.5, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -53.05 - 0.95. Let q = 53.8 + l. Let b = 309\/4 + -5261\/68. What is the closest to q in b, 2\/9, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 4\/15, -45, -1, 2, 0.03.\nAnswer: -45, -1, 0.03, 4\/15, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94913345?\nAnswer: 5, 18982669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1421*g**2 - 2*g*w + 3473*w with respect to g.\nAnswer: 2842*g - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-56))\/(-3*(-8)\/(-96))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4436 and 31052.\nAnswer: 31052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -273766 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 33923770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + p - 7, 0*p = b - p + 3. Let y = 7 - 11. What is the biggest value in -9, -0.2, b, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put -4, -17494, 46 in increasing order.\nAnswer: -17494, -4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - -2 - (-4 + 21 + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29768*g**2\/5 + 1464*g\/5 - 18\/5 = 0. Calculate g.\nAnswer: 3\/122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*1\/3 - (-83 + 1). Let m = -68 + p. Calculate the greatest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 236 + 2*m + 24*m**3 - 115 - 122 - 8*m**2 + 5*m**2 to l*m + i*m**2 + p*m**3 + q and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 610134115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 35963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/4)\/c*c)**(-9\/8)\/((c*c**(-7\/3))\/(c**(2\/7)*c))*c**(-5)\/c**(5\/3)*(c\/(c**(1\/2)*c)*c)**(-6\/11) assuming c is positive.\nAnswer: c**(-29857\/7392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -7*l + 15. Let b(f) = 2*f + 157. Give b(q(s)).\nAnswer: -14*s + 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 4*u - 5. Determine x(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - w**2 + 2*w. Let i be h(-2). Suppose 9*l - 4*l = i. Find the third derivative of -2*p**5 + p**2 + l*p**2 + p**5 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.52949?  (a) -5  (b) 2\/13  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z*z**(1\/2)\/z*z))**(-3\/4)\/(z**(-1\/14)\/(z\/z**(1\/9))) assuming z is positive.\nAnswer: z**(295\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of 11*z**8\/336 - z**4\/4 - z**3\/6 + 7*z**2. Find the second derivative of p(q) wrt q.\nAnswer: 220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhhghohhhhhhwhiho. Give prob of picking 1 i and 1 g.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v**2. Suppose 0 = -3*u - 2*u - 15. Let i(p) = -2*p + 3. Let o(c) = c - 2. Let s(n) = u*o(n) - 2*i(n). Calculate t(s(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(((-18)\/(-24))\/((-1)\/4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of 5*c**6\/6 + 5*c**3\/3 - 1. What is the third derivative of f(y) wrt y?\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1)**(-3)\/(g**(-7)*g*g*(g**(-3\/2)\/g)\/g) assuming g is positive.\nAnswer: g**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -111264225 * 4\nAnswer: -445056900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13505 + -13410. What is the greatest common factor of 2812 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 545 and 2071.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -4*f**3 - 4*f - 3. Let o(i) = 8*i**3 + 8*i + 6. Let g(y) = -9*k(y) - 4*o(y). Find the second derivative of g(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {x: 13, l: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 6. Let w be (-12)\/(-7)*(4 + v). Let x = 25 - w. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -252, -3, -1 in decreasing order.\nAnswer: 4, -1, -3, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23974177?\nAnswer: 43, 103, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/4 and 61\/1668.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 45*a - 89. Let v be 44\/(-20)*15\/6*-4. Is c(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5*s**3 + 139*s**2 + 633*s - 257. Calculate l(-22).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -391 + 418 + 13 + -4 + -118.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 28*r - 3. Let a(v) = -3*v. Calculate y(a(i)).\nAnswer: -84*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 r, 1 x, and 1 k when four letters picked without replacement from {r: 2, b: 2, k: 1, x: 1, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 66*v + 1202. What is the thousands digit of d(37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 380 and 4560?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w - 23. Let x(o) = -3*o - 49. Determine 5*c(d) - 2*x(d).\nAnswer: d - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/5  (b) -11\/7  (c) 0  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of i**8\/168 - 6*i**7\/35 + 23*i**6\/30 - 2*i**5\/5 - 47*i**4\/12 + 10*i**3 + 296*i**2. Let b(z) = 0. What is z?\nAnswer: -1, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -4997*t - 164869. What is b(-33)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 105487*g - 35 = 12*h + 105491*g - 139, g = -4*h + 9 + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -12, -z - 444 = 3*o - 3*z. What is the tens digit of 20\/o + 694\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**11)\/w**17 assuming w is positive.\nAnswer: w**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 110694 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 6*u**2 - 6*u - 3. Let z(v) be the second derivative of 13*v**4\/12 - 13*v**3\/6 - 7*v**2\/2 + 17*v - 2. Give -9*o(f) + 4*z(f).\nAnswer: -2*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/24 and (-21)\/4 + (-2)\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(0 + ((-3*(sqrt(209)*2 - sqrt(209)))\/(2*sqrt(33)\/sqrt(3)))**2).\nAnswer: 513\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 2:23 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5\/278 - -1745\/417. What is the common denominator of (11\/528)\/(-3 - 50\/(-17)) and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a - 10*a + 3*w - 3*w = w + 71, -2*w + 3 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -29.06 and -16.01180519?\nAnswer: 13.04819481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from wpunw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10249 + 9980*w + 11022*w - 5121 - 5128)*(2 - 1 + 0) to d + i*w and give i.\nAnswer: 21002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 315734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -48*k - 1326. Let d(l) = -107*l - 2652. Let s(v) = -4*d(v) + 7*r(v). What is the derivative of s(w) wrt w?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32*b**3*q**3 + 3*b**3 - 24581*b**2*q**2 - 56*b*q + 414*q**3 + 4*q**2 - 1 wrt b.\nAnswer: 192*b*q**3 + 18*b - 49162*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 less than -8913427.2?\nAnswer: -8913427.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*u = -25*u - 9. Solve 0*m + 3*s = u*m, -3*m - 2*s = 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 3:09 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 98 and 22604974?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*q = n + 168*q + 16, 2*q = -8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 AM and 6:05 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 7*x. Suppose -2*g = -0*g + 4. Let n(h) = -4*h. Let b(i) = g*z(i) - 5*n(i). Suppose 2*l = -17*l - 76. Let c(q) = -17*q. Calculate l*c(p) - 11*b(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 70416, 140837, 211258, 281679?\n\"Answer: 70421*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**2 - 188*f - 2439. What is n(-15)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 269*f. Let h(p) = -4*p**2 + 3092*p + 3044*p - 6130*p. Calculate u(h(q)).\nAnswer: -1076*q**2 + 1614*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 - 204*w - 338. Let u(g) = g. Calculate i(u(m)).\nAnswer: m**2 - 204*m - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*f**3 + 5*f**3 - 3*f**3 + 9*f**3.\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 4:15 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 80 + -75. Suppose -c*n = -4*n - 65. Suppose -8*o + n = -279. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8801 + -8802. What is the fifth biggest value in 10, -0.2, x, 0.2, 5\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10206 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence heg when three letters picked without replacement from hzghhee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7487b + -25?\nAnswer: 74856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20116, -20134, -20156, -20182, -20212, -20246?\nAnswer: -20284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/49*((-84)\/(-6))\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + f = -54, -1255*g = -1256*g + 5*f + 4. Let v = 12 - 17. Which is the second smallest value?  (a) 2\/9  (b) g  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 105 + -54. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(567) - (-1 + sqrt(567))) - (sqrt(567) - (1 + sqrt(567)))*1) + (5 + 3*3*sqrt(567))*-1)**2.\nAnswer: 1296*sqrt(7) + 45991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3 - o + 0 + 2. Let c(s) = 5*s + 6. Suppose -17*a + 3*a = -84. Let u = 0 - a. What is u*p(i) - c(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 12*k + 30. Calculate n(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -2\/5, -13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 3721*u**5\/4 + 183*u**4\/2 - 14875*u**3\/4 - 366*u**2 - 9*u = 0.\nAnswer: -2, -3\/61, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2386, 4758, 7104, 9412, 11670, 13866?\n\"Answer: -2*a**3 - a**2 + 2389*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 10260*a. Let o(s) = s + 21. Determine o(x(k)).\nAnswer: 10260*k + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65)\/(2562\/(-1830)*15\/(-21))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.6 and -135898.363403?\nAnswer: 135897.763403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*r**2 + 4*r**2 + 11*r**2 - 21*r**2 to q*r**2 + d*r + f and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 45799 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 2*t + 20, 0*t = -3*t - 12. Suppose 5*j - 3159996 = h*j. Suppose -5*s - c + 5*c = 3949992, -2*s - j = -c. Round s to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*n**3 + 2*n**2 + 0*n**2 + 38*n**3 - 10*n**3 + 15*n**3.\nAnswer: 60*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 9*z**2 - 2*z. Let h = 197 + -143. Suppose h*b = 51*b - 3. Calculate m(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1196371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21803500 rounded to the nearest one hundred thousand?\nAnswer: 21800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 63.5 + -63.8. Let f = -2054\/11 + 187. Let w = f - 17\/22. What is the second smallest value in w, 0.7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4802 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 418 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 15365154 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4362958822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w = 5*w - 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5 - 5) + -1 + 3. Suppose p + 1 = a, k*a = 4*a + 8. Is p >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -2*r + 15. Suppose -d + r = -11. What is the highest common factor of d and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1869\/2?  (a) 2\/9  (b) -15  (c) -0.007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.45, -1\/2938, 0.5, 6.63.\nAnswer: -1\/2938, 0.45, 0.5, 6.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, o: 5, l: 1, q: 4, f: 1, p: 3}. What is prob of picking 1 o and 1 l?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2152*w**2. Let q(r) be the third derivative of -r**4\/12 + 2059*r**2. Determine q(y(t)).\nAnswer: -4304*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 12*u**2 + 6. Let d be q(12). Let y(m) = -m**2 + 5*m + 4. Determine y(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*n**2 + 24*n**2 + 4*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*l - 107*l + 1358 = -49*l. Solve 0 = -34*t + 218 - l for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 563 divide 162263992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(2268) + 2)*5)**2.\nAnswer: 7200*sqrt(7) + 227200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 4 + 6*k**4 + (k - 4*k - 7*k)*(0*k**3 + 2*k**3 + 0*k**3) - 2*k**4 - 2*k**4 + 2*k**4 to the form m*k**4 + u*k**3 + w*k + x + h*k**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.4, -2, -3\/2, 99?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j - 40. Let r(l) = -5280*l - 12078. Let x(w) = -121*k(w) + r(w). Find the first derivative of x(a) wrt a.\nAnswer: -5401","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12)\/2 - (31 + -33) - -39753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2  (b) 2  (c) -5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/20*1\/(2\/8).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 312 divide 818064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 3*m - 72, 4*c + 0*m - 3*m - 124 = 0. Suppose -3*v = -7*v + c. Solve 4*x - 4*a - a - v = 0, -4*x + 11 = -a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -293*u**2 - 6*u + 13*u + 4*u - 11*u.\nAnswer: -293*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (3 - (3 - -2)) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3675 divided by 3675?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, v: 1, p: 1}. What is prob of sequence vkpp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3996 = -2*p - 4192. Which is smaller: p or -4093?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q + 2 - 2 + (0*q + 2*q + 0*q)*(-3 + 0 + 5) + 0 + 0 + q - 3*q + q + 4*q - q + 0*q + 5*q)*(3 - 3 - q) in the form l + r*q**2 + t*q and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 561.\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4\/561 and -17\/462.\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*x**2 + 7 - 2*x**3 + x - 18*x**2 to the form d + f*x**3 + k*x**2 + p*x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1456 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -3*t**3 - 8*t**2 - 5*t - 8. Determine l(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -810*i + 144 = -803*i - 5*u, 0 = 4*i + 4*u - 48 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1200232 + 12130313?\nAnswer: 10330021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(8\/9))\/(o\/(o**(-17\/2)\/o*o))*(o**(-23)*o)\/o**(-13\/5))**24 assuming o is positive.\nAnswer: o**(-9724\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.4  (b) -2  (c) 3945\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-16)\/(-5) - (-2)\/(-10). Suppose 0 = c*t - 5*t + 56. Suppose 5*v = -0*k + 2*k - t, 5*k + 3*v - 8 = 0. Solve 0 = k*x - 12 + 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 + 55. Suppose 0 = -g + 3*g - 100. Let a = g - q. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - o - 44. What is the smallest common multiple of 16 and m(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -88, 0.3, -1213, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 - 24*l**2 - 108*l + 1185. What is the lowest common multiple of w(27) and 171?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 392, 1551, 3484, 6191, 9672?\nAnswer: 13927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/7 - (-221)\/(-7). List the prime factors of (-16 + 4)\/3 - m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d\/(d**(-2)\/d)))**(-45))**(-10\/3))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 7, i: 2, t: 2}. What is prob of picking 2 t and 1 k?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/3 - 553876*o\/3 - 38347327922\/3.\nAnswer: -2*(o + 138469)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 449 + -1345\/3. Solve l*x**2 + 2\/9 - 2\/3*x - 2\/9*x**3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 112\/400*(-305)\/(-854).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1))**(-1\/49)*n**2\/(n\/n**4))**(-50) assuming n is positive.\nAnswer: n**(-12300\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -15*f - 7. Let l be m(-5). Let x be l\/8 - 2\/4 - 1. What is the greatest common factor of x and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 534048817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 + 3*h + 3. Let y = -101 + 87. Let v(j) = 2*j**2 - 7*j - 7. Give y*k(g) - 6*v(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -406 + -318783135460.\nAnswer: -318783135866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 233 + -235. Which is the nearest to 4?  (a) 0.1  (b) 1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -1. Let c(r) = -2*r**2 - 2*r - 6. Let i(o) = -c(o) + 3*h(o). What is the units digit of i(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 201*p**3 - 88*p**2 + 203*p**3 - 406*p**3 + 136*p**2 + 119*p**2.\nAnswer: -2*p**3 + 167*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2019006 by 6.\nAnswer: -336501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of -b**4 + 92*b**3\/3 - 240*b**2 - 576*b - 2696. Factor o(r).\nAnswer: -4*(r - 12)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1103.696 and -3.\nAnswer: -3311.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1.28 * -23\nAnswer: 29.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - -1.78955736.\nAnswer: 8.78955736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t + 22*t - 2650 = 115*t - 32*t for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 1 z when three letters picked without replacement from {p: 4, z: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 56, 89, 122, 155, 188?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -6.1. Let b = -5.7 + 0.7. What is the closest to s in 13, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)*-1*-4 + sqrt(68) + ((sqrt(68) - 2*sqrt(68))*2 - sqrt(68)))\/(-4*sqrt(4)*2 - 2*(sqrt(4) - sqrt(4)*-2)).\nAnswer: -sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21014 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173709 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -32 - -26. Let a = -21 + 26. Suppose 4*z = 3*g - 13, -a*z - 4 = 4*g + 20. Is m at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 0, 8.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 145, 178, 231, 304, 397, 510, 643?\n\"Answer: 10*z**2 + 3*z + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -798000 by 57.\nAnswer: -14000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -566*x**3 - 20*x**2 - 123*x + 4. What is the tens digit of q(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5*(6*(sqrt(14) - sqrt(504)) + sqrt(14) - sqrt(14)))\/(4*(sqrt(2) + -2*sqrt(2))*1).\nAnswer: 225*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q*q**(-1)*q*q*q*q\/(q\/((q**7*q)\/q))*(q*q**(-1))\/(q**5*q)*(q\/(q**1*q))**45*q**7*q**(2\/11) assuming q is positive.\nAnswer: q**(-361\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1795 and 503318?\nAnswer: 2516590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 5 + (76 - 70)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.2 or 189.346108?\nAnswer: 189.346108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v - 108 = 4. Is 8\/v - 5\/((-70)\/15562) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -699*z - 832*z + 347492 = -898*z + 2555*z for z.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -291 at most as big as -66\/965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14501*z**5 - 18*z**4 - 2*z**2 + 77929.\nAnswer: 870060*z**2 - 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*r = -101 - 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -170\/3*p**3 - 2962408\/3*p - 1\/12*p**4 - 12882*p**2 - 5771588\/3.\nAnswer: -(p + 2)*(p + 226)**3\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.2 + -4.6. Let q = g - -1.8. Let w = 1392 - 6954\/5. Sort 2\/9, q, w, 0.1 in ascending order.\nAnswer: 0.1, 2\/9, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 53 + 27. Suppose 0 = z + 3*z - 16. Suppose -z = -2*l + 4. Solve -l*r + o = -4*a, -5*a = 2*r + r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2202012100 - -12?\nAnswer: 2202012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 - 629 + 629. Let q(u) = -u. Give s(q(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 5*g - 3*g = -14, -a + 14 = -3*g. Let v = 21 + a. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (7 - (-440)\/(-28))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 0 + 4)*(2*h**4 + 4*h**3 - 4*h**3) + 8*h**4 + 8*h**4 + 5*h**4 + (2*h + 17*h + 9*h)*(-5*h**3 + 3*h**3 + 3*h**3) + h**4 + h**4 - 5*h**4.\nAnswer: 42*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0857 and 0.2.\nAnswer: 0.01714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94743.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s = 5*s + 5*m - 35, 4*s + 8 = -4*m. Let o be -2 - 1 - (-12)\/s*-1. Let l be (-1)\/(2\/6) + -1. Which is the second biggest value?  (a) -5  (b) o  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -13 - 1c0?\nAnswer: -1d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -2*a + 5. Suppose -w = -a*w + 116. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 5*n + 117 = 0, 5*f - 63 = 3*f + n. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165058 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22002220 + -10?\nAnswer: -22010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 3*g**4 + 17*g**2 + 19 - 5 - 6*g + 8*g - 7 to the form k + f*g + w*g**3 + j*g**4 + a*g**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29185, 29177, 29167, 29155, 29141?\nAnswer: 29125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1520 and 3002.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 2*n - 2*o - 21, -3*n - 2*o - 75 = 0. Let u = 3 - n. Calculate the remainder when u is divided by ((-8)\/(-14))\/(33\/924).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 796*g + 479 - 1663 - 1204 = 0. Let x = -3.7 - 0.3. What is the third smallest value in 0, g, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 0 - -3 - (-702 - (-1 + -3))?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + y - 12 = 0, -3*y + 7*y - 16 = 0. Let t(d) = 0 - 1 + 1 + 2*d**i. Let a(x) = x - 1. Let z(s) = 1. Let g(h) = -4*a(h) - 4*z(h). What is g(t(p))?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -2*z + 14813, -x - 9029 = -3*z + 13201. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 344*n - 42746. What is r(126)?\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 77108 - 33310687\/432. What is the common denominator of -127\/90 and s?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b. Suppose -2*m - 14*m + 16 = 0. Let i(g) = 4*g - 1. Let d(z) = 4071*z - 1062. Let h(y) = m*d(y) - 1062*i(y). Determine c(h(o)).\nAnswer: 354*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(3\/3)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 879 divide 1012394488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (15 - -5 - 12) + (311 - 1\/(-1)). Solve -20*x - 20*x - j = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -3*k**2 + 396*k - 9600 = 0?\nAnswer: 32, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6594\/17 + 388. Let f be 1 - (-2)\/(-5)*3. What is the nearest to -2 in f, j, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by -198.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 35, 61, 83, 101, 115, 125, 131?\n\"Answer: -2*n**2 + 32*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -589176100 rounded to the nearest one hundred thousand?\nAnswer: -589200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29772081\/7615751 + 51\/30833. Let c = s + -44\/13. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 8356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110086522?\nAnswer: 2, 7, 13, 107, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*u**2 - 2*u**2 + 3*u**2)*((-u**3 + 2*u**3 - 2*u**3)*(2 - 3 + 2) + (-3*u + 3*u - 17*u)*(0*u + 0*u - u**2)).\nAnswer: 112*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 102*g**2*s**2 + 2*g**2*s - 1441824*g**2 + 2458*s**2 wrt s?\nAnswer: 204*g**2*s + 2*g**2 + 4916*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.4001514 - -4.4. What is y rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l. Let b(q) = -q. Let j(w) = 46*w. Let a(y) = 10*b(y) - 2*j(y). Give a(s(r)).\nAnswer: -306*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (9\/6)\/(3\/8). Let b(y) = -y**2 - 17*y - 24. Let x be b(-15). Suppose 5*a + 5 = 4*c, a + 5*c + 2 = x*c. Solve 0 = u*o + 7 - a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 56\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-498)\/415*(-10)\/27?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 50*l**2 - l - 1. Let a be g(1). Let h be (42\/4)\/(12\/a). Let m be (3\/(-4))\/(h\/(-56)). What is the second biggest value in m, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-13 - (-19 + 15))\/(-2 - -1). What is the greatest common factor of 6849 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t = -t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to 1\/9638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-2*2)*712\/(-3204)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33716.\nAnswer: 2, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7517*i + 1853*i + 1861*i + 1851*i + 1947*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/1118964 and 5\/1078.\nAnswer: 1118964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -1517, 1, -33 in decreasing order.\nAnswer: 2, 1, -5, -33, -1517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, t: 3, w: 8, q: 2}. Give prob of picking 2 l and 1 q.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 31 * -0.259\nAnswer: -8.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -138*t. Let i(g) = 253*g - 8. Let j(z) = 158*z - 5. Let u(o) = -5*i(o) + 8*j(o). Give n(u(p)).\nAnswer: 138*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 3*h + 1. Let n be ((-8)\/(-12))\/(3\/9). Let u be j(n). Let r be (-2)\/4 - 5\/(-8). What is the closest to u in 3, 1\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dylldqlxxtd. Give prob of sequence ll.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 9*z**2 + 5. Let v(y) = -2403*y**2 - 15 + 2304*y**2 - 39. Determine 54*t(n) + 5*v(n).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1597*v + 1587*v - 40 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-3))\/(1792\/576)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 8252*s**2 + 2*s - 25. Is h(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16*(-4)\/128)\/(19\/4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11224 is divided by 349?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let q = 28 - 25. Suppose 0*n - 4*o = -5*n + 151, -5*n + 5*o = -150. Suppose -3*w + 3*p = -4 + n, 0 = -q*w + 2*p - 23. Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, p: 2}. Give prob of sequence ppa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1101 a factor of 1231443546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, v: 1, f: 1, r: 1, b: 4}. Give prob of sequence bgf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 14 = -3*w, 38*o - 5*w + 318 = 23*o - 11*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -100.43 - -95.843. What is y rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -310 not equal to -310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 78 + 1.0296.\nAnswer: 79.0296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -4  (c) -0.097  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -259, -1345, -4327, -10153, -19771, -34129?\nAnswer: -54175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 515762682 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(275))**2 + (-1 + sqrt(11))*-4 - ((sqrt(110) - 1*sqrt(110))\/sqrt(5) + sqrt(22))\/(4*2*sqrt(2) - sqrt(2) - sqrt(2) - sqrt(2)).\nAnswer: -21*sqrt(11)\/5 + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1  (b) 0.34  (c) 0.9  (d) -1\/3  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 924601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 + 63*l + 1311. Determine a(79).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 239, 5, 16 in decreasing order.\nAnswer: 239, 16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {r: 4, u: 5, a: 8}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -5, 0.2, -6 in increasing order.\nAnswer: -6, -5, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 55.75 - 55.55. Let i = -8 - -5. Which is the closest to -1\/4?  (a) i  (b) d  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 + -22. Let t = 4 + z. Let u be (4\/(-2))\/(-4 - 1). Which is the closest to u?  (a) 0.4  (b) 1  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from leplgjpljlejzzpz.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1366*z + 1342*z + 1303*z + 2 - 4013*z - 7.\nAnswer: -2*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 2, -2 in descending order.\nAnswer: 2, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 2516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 8 + 2)*(0 - 2 + 0 + (0 - 1 + 3)*(3 + 11 - 1))*(-c - c + 0*c).\nAnswer: 624*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3*l**3 - 19*l**2 - 15*l + 3. Let s be k(7). Let x = 5 - 11. What is the smallest value in x, s, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + -8 + 5 + 24. Solve -3*y - y - m = 2*f, 2 = -f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3527, 28074, 94705, 224462, 438387, 757522?\n\"Answer: 3507*l**3 - 2*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -175, -350, -525, -700, -875?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*t**5\/9 - 514*t**4\/9 - 63218*t**3\/9 + 2695474*t**2\/9 + 258428*t\/3 = 0. What is t?\nAnswer: -69, -2\/7, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10820300 is divided by 3606765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nuxvvyaua. What is prob of sequence va?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -225 (base 13) to base 4\nAnswer: -11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/3*(36\/(-4))\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1173, 2911, 5129, 7833, 11029, 14723?\n\"Answer: l**3 + 234*l**2 + 1029*l - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - (7 + (-2 - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24 - -553. What are the prime factors of b?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14775 + -14757. Solve 21*w - b = 19*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (187\/((-75174)\/670))\/((-10)\/(-462)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1983 (base 10) in base 6?\nAnswer: -13103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*p - 15. Suppose -p = -2*h - 1. Let g be h\/(-4) + (-2)\/8. Is g at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 25?  (a) 0.6  (b) -2  (c) 0.2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of 0*p**2 + 0*p**4 - 1\/3*p**3 - 1\/10*p**5 + 0 - p. Find the second derivative of b(h) wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 2:59 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -5. Suppose 0 = -j + 4. What is the units digit of (-9 + j)\/(-1 + q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197493?\nAnswer: 3, 65831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 42 + -61 + -7 - (5 - -29)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o - o**3 - 3*o)*(4 - 7*o - 4 + (-1 + 1 + o)*(6 - 2 - 2)) + 4*o**3 + o**4 + 3*o**4 - 3*o**4.\nAnswer: 6*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -435 (base 6) to base 10.\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 91944 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44 and 260.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o**3. Let c(y) = 178*y**3. What is -3*c(s) + 30*f(s)?\nAnswer: -474*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - 1010111101?\nAnswer: -1010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**2 - 45*p - 2165. What is y(-29)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -6*l**2 - 8. Let n(f) = -2*f**2 - 3. Let k(d) = 3*b(d) - 8*n(d). Let g(y) = 1080*y**2. Determine g(k(j)).\nAnswer: 4320*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = o + 12. Let g = -0.6 - -0.4. What is the third biggest value in 0.4, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, -3, 21 in decreasing order.\nAnswer: 53, 21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -43188 take away 0.04?\nAnswer: -43188.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2  (b) -19.1  (c) 0.4442  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 6*d - 54. Give s(-8).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/4)\/(3\/12). Let i be d\/12 - (-4)\/6. Factor -1\/4*u**2 + 0*u - i*u**3 + 0.\nAnswer: -u**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26*(-7)\/(70\/(-10)))\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1491329 is divided by 4412?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*o - 34 = 56, 125 = 5*p + 5*o. Suppose -200*t = -193*t - 420. Calculate the greatest common divisor of t and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 4*x - 7. Suppose -b + 5*h = -1 - x, 3*h - 19 = -2*b. Suppose 4*k + 60 = 3*t, 2*t = -0*t - 2*k + 26. Calculate the highest common factor of t and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -5*m - 1. Let g be (-14)\/(-6) + (-2)\/(-3). Let o be c(g). Let l = -8 - o. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 5. What is the highest common divisor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 4*a**2 + 9*a + 20. Let d be u(-2). Determine f so that 35*f**2 + 19*f**4 + d*f + 51*f**3 + 2*f**4 + 9*f**2 + 3*f**5 + 7*f**2 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + -142134?\nAnswer: -142134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27 - 26690888*q - 9*q**2 + 26690888*q to the form r*q**2 + o + h*q and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b6 (base 13) to base 11.\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 304 + -57. Let w = 247 - t. Solve 0 = 5*g - 20, w*g + 2*g = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 6187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 7*x + 23. Let l(a) = 3*a + 10. Let f(h) = -9*l(h) + 4*s(h). Give f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.4, 1\/5, 0.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(1\/3))**(5\/13)\/((n\/n**(-4\/5)*n*n)\/(n\/(n\/n**2))))**(-14\/9) assuming n is positive.\nAnswer: n**(4564\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -42324546 (base 7) to base 13\nAnswer: -9874c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1515 = -2*x + 6999. Suppose 3*z + 339 - x = 0. Let q = -494 + z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 230 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, h: 1, d: 1, j: 1, u: 1, n: 2}. What is prob of picking 2 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -1 + -15 + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, r: 2, v: 5, a: 1, e: 4}. Give prob of picking 1 a, 1 p, and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 6 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 663921 and 1278.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 222*z = 293*z + 13490. Which is smaller: z or -1336\/7?\nAnswer: -1336\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.02, -9\/13, 0.5, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -329*q**2 + 3*q - 4. Let b be y(-7). Let z = b + -5811. Let d = 12257 + z. What is d rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 32, -4, 2, 3, -2, -2687 in ascending order.\nAnswer: -2687, -4, -2, 2, 3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3939170 is divided by 995?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 + 5*j**2 - 6*j + 11. Give f(6).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q\/(q\/((q\/(q*q**5*q))\/q)*q*q)*q)\/q)\/(q\/q**38*q) assuming q is positive.\nAnswer: q**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-9 - (-3 - 17)) - (1 - 16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -14097, -14098, -14099?\n\"Answer: -b - 14096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-11)\/(j*j*j**(-5))*(j**(-1\/2))**(-1\/34))**(-10\/9) assuming j is positive.\nAnswer: j**(905\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddkkk. Give prob of picking 2 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6600 + -4627. Suppose 8*r - u = -4*f + 3*r, -3*r - 1003 = -2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 47999994 = -3*b, -5*b - i - 42459153 - 37540844 = 0. Round b to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 156*g**2 - 758*g + 8196. Let q be m(11). Calculate the greatest common factor of q and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 AM and 7:11 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + d**2 + d. Let c(p) = 11*p**3 + 6*p**2 + 8*p. Calculate -c(g) + 6*o(g).\nAnswer: -5*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -11, -501, -3, -9, -1\/4, -23?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1696295, -1696294, -1696293, -1696292, -1696291?\nAnswer: -1696290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*n - 956 - 958 + 1909 - 253*n.\nAnswer: -267*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -20, 5*z = 4*t - 3 - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - 33*v + 187. Let q be r(-38). Let b(d) = -21*d**3 + 14*d**2 + 14*d + 14. Let h(k) = 4*k**3 - 3*k**2 - 3*k - 3. Determine q*b(g) - 14*h(g).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.27 + -0.87. Let y = -3 - 0. Sort 4, p, y.\nAnswer: y, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-64)\/(-10) + 4\/(-10) and (-2)\/((-6)\/3) - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -71*g**2 + 9*g - 12. Let t be v(2). Suppose -12*b - 2050 = -7126. Let h = b + t. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5918 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21214559\/138 - 153728. Find the common denominator of n and -127\/114.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94, 108, 136, 184, 258, 364, 508?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 3\/2, 2\/53, -0.5, -82, 4\/3 in decreasing order.\nAnswer: 3\/2, 4\/3, 0.1, 2\/53, -0.5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*i**3 - 4*i**5 - 2*i**3 + 186*i**2 - 17*i**2 - 3*i**3 wrt i?\nAnswer: -240*i**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367200 rounded to the nearest 1000?\nAnswer: 367000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 + 11*s**2 - 10*s + 6. Let x be y(10). Let w be (3 - 2)*(-1)\/(-7). What is the closest to 1\/3 in -4, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1395*z**2 + 3*z - 5*z + 326 + 0*z - 1400*z**2.\nAnswer: -5*z**2 - 2*z + 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 4:04 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 66, -3, 5, 3, 25, 4 in increasing order.\nAnswer: -3, 3, 4, 5, 25, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14608923193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, 4, -1817, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 0.061.\nAnswer: -4, 0.061, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22115 - -27475. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hvhh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -223209896*j**2*p + 14340202*j**2 with respect to p.\nAnswer: -223209896*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 55*h**4 - 2*h**3 - 42*h**2 + 2*h - 3. Let p(o) = -o**4 - o**3 + o - 2. Let t(c) = m(c) - 2*p(c). Find the third derivative of t(g) wrt g.\nAnswer: 1368*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291183*y = -291212*y + 725 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11787 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((5 + (2*sqrt(72))**2 + sqrt(72) + sqrt(72) - (sqrt(72)*2*-2 - sqrt(72))**2) + 0 - -2*((sqrt(72)*-2)**2 + 4)*-4).\nAnswer: -3848 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42818 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 11*s**2 + 2*s + 5. Let o(p) = 61*p**2 + 9*p + 24. Let l(h) = 2*o(h) - 11*t(h). Determine l(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/14*(13 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j**2. Let k(h) be the first derivative of -h**3 - 14. What is d(k(t))?\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*(6*-1 - 243\/(-36)). Let q = -32\/9 - -62\/9. Let c = r + q. Which is bigger: -7\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of t**5\/240 - t**4\/16 + 3*t**3\/8 + 3*t**2. Solve c(u) = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 5*y = 35, 3*a + 0*y = y + 29. Let v be (-162 + 142)*(-1)\/(-2 - 3). What is the third biggest value in -0.4, 1\/12, v, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 5*w = -85, 2*w + 89 = 5*p + w. Calculate the highest common divisor of p and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x**5 - 140*x**4 + 920*x**3 - 2560*x**2 + 3280*x - 1600 = 0.\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**2 + 7*s**2 - 7*s**2 + 3*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 122663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 5\/18, -3\/25, -113\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 702 is divided by 202.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (115\/10 - 11)*526. Which is the smallest value?  (a) 2  (b) 3\/4  (c) 0  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**2 - 30288*u + 302580.\nAnswer: 3*(u - 10086)*(u - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -37\/18 in 3\/7, 0, 0.5, 1\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 2, -4, -2\/9.\nAnswer: -4, -0.5, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 13505a5 (base 11) in base 9?\nAnswer: 4338256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 2.8. Let t = 35415 + -212483\/6. Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**4\/11 + 92*s**3\/11 + 288*s**2\/11 + 292*s\/11 + 98\/11 = 0. What is s?\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 4*i - 1396, -l - 4*l - 1399 = i. What is the units digit of l\/(-36) + 2\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -623*(-4 - -3) - 4. Suppose -4*j + 49 + n = 0. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 k, and 1 c when three letters picked without replacement from kakcacccaaac?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**(-4\/5))\/(n**14*n))\/(n*n*n\/n**(4\/15))**49)**18 assuming n is positive.\nAnswer: n**(-13242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12*a + 11 + 10*a + 0)*(-15*a**2 + 371 - 371)*(2 - 3 - 4) in the form g*a + k + c*a**3 + r*a**2 and give r.\nAnswer: 825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3120081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {b: 2, z: 4, i: 4, m: 7, e: 1}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fazlaflafk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/r**(3\/4))*r\/(r*(r\/r**(-2\/7)*r)\/r*r))**(-1\/2)\/(r**4\/((r\/r**(5\/3)*r*r)\/r)*(r**(-2\/5))**(8\/11)) assuming r is positive.\nAnswer: r**(-24097\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1673ba990 - -4?\nAnswer: 1673ba994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -588627880 rounded to the nearest 1000000?\nAnswer: -589000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-59 - 1)*(-182)\/39. Suppose 0 = 5*a + 5*p - j, p - 4 + 2 = 0. Suppose a - 234 = 9*v. What is v rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -818\/7 - -117. Let m = -26 + 24. Which is the second biggest value?  (a) m  (b) 1\/3  (c) i  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, k: 1, y: 1, s: 3, d: 1}. What is prob of picking 1 d and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 1)*(2*z - 5*z + 2*z) - 8 + 8 + 4*z in the form n + h*z and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2. Suppose 2*l = l + 2. Let y(r) = l + 8 - 10 + 2*r. Give y(n(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(1100) - (-1*sqrt(1100) + sqrt(1100)))*4 - (sqrt(11)*3 + -4 - (sqrt(1100) + -1*sqrt(1100))))**2*-1.\nAnswer: -65235 - 616*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1377) + 5 - (sqrt(1377)*-1 + 4))**2.\nAnswer: 36*sqrt(17) + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3*s + 143. Let a be 972\/(-30) - -2 - 2\/(-5). What are the prime factors of k(a)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -25 - 45. Suppose d + 35 = 2*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3 + 0)\/3*-263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a**3 + 3*a**3 + 74*a**2 - 3*a**3 - 5*a**3.\nAnswer: -2*a**3 + 74*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 60*z**6 - 101*z**6 - 4*z**5 - 4*z**2 - 18 + z**2 + 140*z**6 + 36*z**6 wrt z.\nAnswer: 16200*z**3 - 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 + n - 1. Let l be r(-2). Suppose z = -2*u + 69, -3*u - l*z = -41 - 45. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/(-18))\/(8\/72). Suppose -2*a = 2*o - 588, 0 = 4*o - b*a - 637 - 545. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3719531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*z + 117 = -183. Sort z, -1, -3, 2 in descending order.\nAnswer: 2, -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 divided by -460?\nAnswer: -29\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -8*m - 6. Let j be x(-5). Let g = j + -31. Suppose 3*b - g*s = 129, 5*b - 148 = 2*s + 82. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7511126 (base 8) to base 10.\nAnswer: -2003542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.42 times 1.5\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 4*g = 0. Suppose -k + 12 = 4*x, -3*k + 5*k = 5*x - 15. Suppose g = -4*m - x*u + 26, -m - 3*u = m - 10. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of -b**2\/2 - 3*b + 8. Determine y(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 AM and 3:42 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n - 7. Let a be u(-5). Let l(i) = -i**3 + 12*i**2 - 34*i - 12. Let w be l(7). Find the common denominator of 7\/10 and (1020\/w - a)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -839\/7 - -120. What is the closest to -2\/5 in -0.4, t, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from olfllblbno. What is prob of picking 1 f and 1 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 197256 and 824.\nAnswer: 20317368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 4*0.818\nAnswer: 3.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = 32*u - 55 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 15175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + o - 7 = 0, -4*q - 3*o = -o + 6. Let k(y) = 2*y**3 + 2*y**2 + y - 7. Let v be k(q). Let n = 112 + v. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -44 - -44. Let m(g) be the third derivative of 5\/72*g**4 - 1\/9*g**3 + z*g - 3*g**2 + 0 - 1\/60*g**5. Find j, given that m(j) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000739419 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.8 + 0.89. Let v = 0.1 - t. Let r = v - -0.79. Is r bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 11:28 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 - 5*b - 2. Let h be i(-2). Let x = -114 - 256. Is x\/5*(-2)\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g**2 - 6*g - 4. Let p be x(-3). Let f be 0 - p - (-12 - -46). Is (8\/f)\/(4\/(-1070))*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bepb when four letters picked without replacement from {m: 1, e: 1, p: 1, b: 4, c: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, -5, 0.02 in descending order.\nAnswer: 3\/7, 0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 - 7)*(-2 + 1). Suppose -h*q + n = 6 - 4, -5*n + 10 = 0. Solve -4*b - 2*a + 8 = -q, -4*a = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.8 - -0.8. Let g = q - -4.3. Let u = 9.2 + -9. Which is the nearest to 1?  (a) g  (b) -0.5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1069*a**2*g**3*l**2 - 6*a**2*g**2*l - 22*a*g**3*l**3 + a*g**2*l**3 - 16*a*g*l**2 + 7*g**2 wrt g?\nAnswer: -6414*a**2*l**2 - 132*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 367 + 374. Suppose 231 = 18*w - m. Calculate the greatest common factor of w and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 2*k + 0 - 8 = 0, 3*k = -4*j + 11. Solve r - j*d = 1, 0*d + 3 = 3*r + 2*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2304)*-2 + sqrt(396)\/(sqrt(11) - sqrt(176)))*1)\/((4*sqrt(768)*-1 - sqrt(768))*4).\nAnswer: 49*sqrt(3)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3548 by 1774.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 880*p + 28 = 899*p - 2*a, -2*p + 24 = 4*a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 687 = 3*u, 0 = 4*u - 3*m - 327 - 589. Let s = -72 + u. Suppose 5*a - s = 4638. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 + 2*o**2 - 5*o - 4. Let y be h(-3). Solve 0 = -5*n - 5, -l = y*l - 4*n - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19300*a - 20003*a + 39910*a.\nAnswer: 607*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -9642, -9639, -9646, -9669, -9714, -9787, -9894?\n\"Answer: -t**3 + t**2 + 7*t - 9649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -4 + -5*(sqrt(1296) - (sqrt(1296) - 1*sqrt(1296)) - sqrt(108)\/sqrt(48))\/(sqrt(108) + sqrt(108) + 4*1*sqrt(108)))**2.\nAnswer: 805*sqrt(3)\/36 + 97897\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*q + 101459*q**2 + 2 - 42162*q**2 + 79427*q**2 + 62*q.\nAnswer: 138724*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2540583307 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 362 - 1151 + 366 + 0*k + 30*k + 372 to the form s + n*k and give s.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158*z**3 + 23 - 9*z - 158*z**3 + 284*z**3 - 23.\nAnswer: -32*z**3 - 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*c + 63 = 0, 3*c = -5*n + 236 + 11. Let y = 65 - n. What is the remainder when 140 is divided by -3 + (y\/10)\/(3\/45)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*x**2 + 23*x**2 + 31*x**2 - 89*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 + -173?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 - 28. Let o = -2 - c. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2102202020202 (base 3) in base 9?\nAnswer: 2382222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n - 8. Let f be b(-5). Let x be f\/18*-2*6. Suppose -2*d - 6 = x*r - 3*r, 8 = 3*r + 4*d. Solve 8 = -r*q - 5*g, 0*q - 4*g - 8 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1929769 divided by 4\nAnswer: -1929769\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3 from 1540878520.\nAnswer: 1540878523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1442 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.35, 5, -2\/5 in decreasing order.\nAnswer: 5, 0.35, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 5*l = 2, -3*a - 158 + 142 = 2*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from zazasffnqafn.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/79576 and 107\/1830934.\nAnswer: 212388344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131*l**3 - 8*l**3 - 305*l**3.\nAnswer: -182*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of 5*j**7\/7 + 4*j**3\/3 - 1. Find the third derivative of w(b) wrt b.\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -2  (c) -5  (d) -3\/5  (e) 2\/9  (f) 2\/199  (g) -122\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 - (14 - (19 - 7))*14\/(-4). Let l = -3.3 + 3.51. Is l at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 9:35 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 78 + -79. What is the hundreds digit of 3100\/(-15)*3\/(-2) + y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 15*b**5 - 113795*b**4\/2 - 550555*b**3\/2 - 294360*b**2 + 56970*b = 0.\nAnswer: -3, -2, 0, 1\/6, 3798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 13. Let s(i) = r + 3*i - 7*i + 4*i + i. Give s(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-87)\/(-18) - (-7)\/42. Let i(y) = y**3 - 5*y**2 + 5*y. Let u be i(t). Calculate the highest common factor of 225 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 2*q + q - 13 = 0, 4*h - q = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -847, -1694, -2541, -3388, -4235?\nAnswer: -5082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2162 - -2378. Calculate the smallest common multiple of 72 and y.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7463082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1011.9 or -5?\nAnswer: -1011.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 1:55 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 8  (b) -1  (c) 1  (d) -131\/6  (e) -0.168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 5 = 19. Suppose -l + 5*l + w - 25 = 0, -5*l - 3*w = -40. Suppose -k + 11 = l. Calculate the greatest common factor of d and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/(14\/2)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27610 is divided by 468.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/(-84) + 1\/4. Let n = 32.63 - 0.63. Let g = n + -33. What is the nearest to g in 0, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 6*k + 3. Let h(p) = -13*p - 7. Let x(s) = 4*h(s) + 9*n(s). Let f(o) be the third derivative of o**4\/8 - o**3\/6 - 3*o**2. Calculate -3*f(z) + 4*x(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4116 - -5538. What is the greatest common divisor of 36 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2265?\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2135 - 1959. Calculate the remainder when o is divided by 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 4*x**4\/5 - 32396*x**3\/5 - 97212*x**2\/5 - 19444*x - 32408\/5 = 0.\nAnswer: -1, 8102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 8:37 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, -1, -5, -19, 1, 0 in decreasing order.\nAnswer: 20, 1, 0, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2442 = -k, 4*k + 81*m - 9894 = 80*m. Calculate the highest common divisor of k and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -205755135\/1040669 + 1\/148667. Let k = r - -198. Suppose 0 = 3*g - 5*g, -2*u - 8 = -5*g. Put 0, k, u in decreasing order.\nAnswer: k, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 3*i**2. Let v(k) = -1 + 3 - 5 + 4. Let b(w) = -2*w**2 - 3. Let o(r) = -b(r) - 3*v(r). Calculate o(z(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 71482253 to the power of 1\/2, to the nearest integer?\nAnswer: 8455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.83 + 7.9. What is v rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1776 and 533244?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 14*o - 38. Let i be b(-10). Let w(m) = -m + 10. Let u be w(i). Solve -2*g - 2*g = -u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1621004379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77987.\nAnswer: 7, 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3502298*z**6 - 399782*z**2 - 6*z wrt z?\nAnswer: -420275760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2723\/4 + 2729\/4. What is the third smallest value in 5, 4.1, c, 0?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - f - 13, 2*h - f - 2 = 7. Differentiate 46*p**4 + 9 - 23 - 9*p**h - 20 wrt p.\nAnswer: 148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {z: 2, e: 4, u: 2, y: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(1088) + 1)*6)*-5 + 2 + ((-2 + 0 + sqrt(17) + sqrt(17) - (2*sqrt(425) - sqrt(17)))*-4)**2.\nAnswer: 208*sqrt(17) + 13389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1380 is divided by 1306?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.89 + 0.11. Suppose -3*r = 12, -4*r - 5 = -2*f + 5. Let h = -7.7 - -8. Sort s, f, h.\nAnswer: f, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the third derivative of -19*f**8\/336 + 3*f**5\/20 + 18*f**2. Find the third derivative of v(a) wrt a.\nAnswer: -1140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of -3*i**4\/4 - 109*i**2\/2 + 172*i + 693. What is the first derivative of c(d) wrt d?\nAnswer: -9*d**2 - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 964.19 to the nearest ten.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.7 times -9.68?\nAnswer: -45.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 100?\nAnswer: -3\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of g**5\/10 + 5*g**4\/12 + g**3\/2 + 3*g**2\/2 + 2*g - 4. Suppose i - 2*j = -5, -5*i - 4*j - 17 = -6. Calculate q(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28360 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 123373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2531041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*c - 0*c. Suppose -2*x = 3*v - 91, 5*v - c*v - 4*x - 49 = 0. Suppose 5*s - v = 22. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22151 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*g + 1715 = 3940 - 627 + 5872 for g.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 7 + 2 = 0, -5*d + 73 = 4*m. Let y = 2495 + -2440. Let l be y\/m*8\/5. Solve 3*b + 16 = -l*k, -k - 5*b = 27 - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/6 - (-25)\/(-2). What is the remainder when (-1 + 0)*1*b is divided by 28\/(-126) + (-74)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 6) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(66)\/(sqrt(18)\/sqrt(3)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13.76 and 0.3.\nAnswer: -4.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -28*q**2. Let k(a) = 5*a. What is j(k(h))?\nAnswer: -700*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 49327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-54)\/73284)\/(-9)*-3. Let f = w + -519059\/146568. What is the common denominator of 123\/20 and f?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + h + 3 - 3 - 9 = 0, -10*v + 7*v + 147 = 141*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.057 - -0.034. Let d = 0.056 + l. Let j = d - -3.267. What is j rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42650 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 69 divided by -21\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 7:09 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16150 - -16148. Let z(p) = -5*p**2 - p - 2. Calculate z(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-134)\/8 - -7 - -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/3)\/(r*r\/(r*r**4)))\/((r*r**(-2\/5))\/(r**3\/r)))**(2\/13) assuming r is positive.\nAnswer: r**(142\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 (base 9) in base 13?\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1608*a + 560 = 1592*a for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 280 - 270. Suppose i - 3*p = 279, -2*i + b*p - 6*p = -554. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 392973885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 9900438.1 to the nearest one hundred thousand.\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, b: 3, x: 1, v: 1, i: 1, y: 4}. Give prob of picking 1 y and 1 b.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 599 divide 2401990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2\/11 + (1 - 50676\/(-66))?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 - 20. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60030 is divided by 20003?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*t = -6*t - 25. Suppose -140 = -4*m + t*p, -m + 140 = 2*m + 5*p. What is the greatest common factor of 240 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = u + 4*j + 20, -3*j = 12. Let t be (-77)\/(-22)*u\/14. Sort -4, -3, -7, t in decreasing order.\nAnswer: t, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4577*a**3*v**3 + 2*a**3 + 8*a**2 + 57*a*v**4 - 6719 wrt v?\nAnswer: -13731*a**3*v**2 + 228*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 29*a**2. Let r(q) = 85168*q - 141. Give r(k(d)).\nAnswer: 2469872*d**2 - 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = -5*f - 2*q, 3*f - 5*q = -202 + 270 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 5359?\nAnswer: 5359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 488 divide 580038264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -3*m + 4*m + 1 - 3*m - 2. Let w be x(-2). Suppose -3*k = -2*f + 6*f + 4, w*k - 16 = f. Which is the closest to -3?  (a) -0.2  (b) 0.3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 19, h: 1}. What is prob of picking 4 f?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 18*b*g**3 + 2*b*g*p**2 - b*p - 101*g**3*p**2 + 5*g**3 + 3*g**2*p**2 wrt p.\nAnswer: 4*b*g - 202*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, q: 4, x: 3, w: 1, z: 2}. What is prob of picking 1 w and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/6901650 and -47\/30?\nAnswer: 6901650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 71 = 72. Let k(j) = 23*j**2 + 2*j - 1. What is k(q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 6 - 1 + 12 - 3 + 1 + (4 - 3 - 7)*(-1 - 1 + 1))*(4*a**2 - 4*a**2 + a**2).\nAnswer: 19*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 8*m**3 - 46*m**2 + 222*m - 10. Give b(5).\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of i**4\/4 + 7*i**3\/6 + 3*i**2\/4 - 113. Find p such that f(p) = 0.\nAnswer: -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*n - 7*n = 11861, -3*n = 2*t - 7930. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -3*l - 3. Let x be k(-2). Let i = 5 - x. Suppose o + 2*w - 7*w + i = 0, 6 = -3*o + 3*w. Which is greater: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 13*n**2 + n + 18. Let h be r(-13). Let b be ((-35)\/21)\/(15\/(-36)). Solve 5*v - 2*c + h*c + 8 = 0, b = v + 2*c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1810275 or -1810179?\nAnswer: -1810275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 653515053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 197774.4 nanoseconds?\nAnswer: 0.0001977744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**3*c)**(1\/6))**(-40) assuming c is positive.\nAnswer: c**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1243 + -14969\/12. Calculate the common denominator of c and -73\/162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -552126, -0.3, 1 in ascending order.\nAnswer: -552126, -2\/3, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (((-240)\/(-100))\/3)\/(-2 + (-1)\/5)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2. Let l(g) be the first derivative of -g**2\/2 + g + 1. Let y(s) = 9*s - 8. Let r(a) = -40*l(a) - 5*y(a). Calculate u(r(k)).\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 61.21339ng?\nAnswer: 0.00000000000006121339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -317 - -352 - (-1 + 27).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7665*k - 3825*k - 3827*k + 1443 = 0 for k.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26*i**4 + 305 - 610 + 305 - 106*i wrt i?\nAnswer: -312*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -5*z**3 - 3*z**2 - 4*z + 3. Let n(c) = -9*c**3 - 5*c**2 - 7*c + 6. Let p be (0 + -2 + 4)*-2. Determine p*n(v) + 7*t(v).\nAnswer: v**3 - v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 - -9 - (7 - 11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - (-125)\/10)\/((-40)\/12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 131*c + 1675. Is 11 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-57)\/(-11) + 10\/(-55).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(288) + 2) - (sqrt(288) + sqrt(288) + sqrt(288)*-2 + -3) - ((sqrt(288) + -1 + sqrt(288) + sqrt(288))*-5 + 2)) + 5)**2*4.\nAnswer: -7392*sqrt(2) + 139588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*x**2 - 5*x + 5*x - 108*x**2 + 156*x**2.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1979, 4180, 6381, 8582?\n\"Answer: 2201*o - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -177*w**5 + 3*w**4 + 158*w - 5. Let l(b) = 178*b**5 - 2*b**4 - 159*b + 4. Let u(q) = -3*l(q) - 2*r(q). Find the second derivative of u(h) wrt h.\nAnswer: -3600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 5*v = 5 + 5, -z - 3*v - 10 = 0. Let a(w) = w**2 - 4*w**2 - 2*w**2 + 3*w**z. Let n(k) = -k**2. Determine a(n(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -72) + -1684 + 1643?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j + 2. Let b be h(2). Let o be ((-2)\/3)\/((-4)\/(-15)). Sort b, -1, o in ascending order.\nAnswer: o, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {h: 2, c: 4, v: 5}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -6*b + 377. Give h(8).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -55526 (base 10) to base 16\nAnswer: -d8e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, -4\/3, -10 in ascending order.\nAnswer: -42, -10, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75537.35 kilometers to meters.\nAnswer: 75537350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27387.\nAnswer: 3, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 8 = 5*y, -y - y - v + 2 = 0. Suppose 0 = 4*p + 3*m + 28, -y*m = 5*p + 31 - 3. What is the third biggest value in -3, 1\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of t**5\/60 + t**4\/12 - 13*t**3\/3 + 33*t**2\/2 - 49*t. Let h(f) be the first derivative of g(f). Differentiate h(y) wrt y.\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2816 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-q**3 + q - q)*(-2*q - 3 + 3 + (0*q + q - 5*q)*(-2 + 2 + 1)) to the form c*q**3 + z*q**4 + h*q + k + u*q**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -79*d. Let a(x) = -20*x. Let f(c) = 22*a(c) - 6*y(c). Let n = -1 + 2. Calculate the remainder when f(n) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (27*c - 11*c + 11*c)*(5*c**2 - 5*c**2 - c**2) - 15*c**3 - 2*c**3 + 3*c**3 to h*c**2 + j*c**3 + z*c + v and give j.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w**2 + 4 + 4*w - 4*w - 3*w. Let b be x(-3). List the prime factors of (-10)\/b - (-1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -3*b + 10, -22*j = 3*b - 20*j + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 159396 and 6162594?\nAnswer: 2154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3 - -14779412\nAnswer: 14779415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 34443 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*j**3 - 13*j**3 - 162*j - 9*j**3 + 8072 - 8072.\nAnswer: -j**3 - 162*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -375*a. Let j(t) = 22*t - 24*t + 4*t. Calculate j(y(q)).\nAnswer: -750*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.831 + 0.069. Let g = 4.3 - -0.7. Let h = m - g. Which is the nearest to h?  (a) 3  (b) 0.4  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -353 - 178?\nAnswer: -4cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 53122518, 53122516, 53122514?\nAnswer: 53122512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*s - 78*s + 26756 - 23458 = 0 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j**3\/5 + 21*j**2\/5 + 24*j\/5 - 48\/5 = 0. Calculate j.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 26*m**2 + 5*m + 5. Let t(l) = 11*l - 8*l**2 - 5*l**2 - 2 - 4*l - 4*l - 5*l. What is -2*i(y) - 5*t(y)?\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-96)\/200)\/(((-2)\/(-6))\/(15\/(-18)))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 257 - 3*f - 257.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q - 9. Let t = 7 + -5. Suppose -3*f = t*f - 40. Suppose -5*b = -f + 38. Determine v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6887 and 47627?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/21 and 47\/891?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - q**2 + 2*q + 4. What is g(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of m**4\/2 - 31*m**2 + 60*m + 1849. Factor q(a).\nAnswer: 2*(a - 5)*(a - 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 3*l - 2008 = -2011, -x - 2*l + 2 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 0. Let g = z + 0.1. Let d = -0.4 - g. Put d, -4, 1\/2 in ascending order.\nAnswer: -4, d, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o**2 - 10*o - 3. Let a(x) = 8*x**2 - 38*x - 12. What is -2*a(n) + 9*s(n)?\nAnswer: 2*n**2 - 14*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w**3 - 16*w**2 - 3020*w - 27361. Calculate r(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-50)\/(-12) + (-177 - -184) and 33\/149?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 25\/(-50)*(2 - (2 + 0)). Solve n*y = 2*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**4\/6 - 2*d. Let t(i) be the third derivative of i**4\/12 - 5*i**2. Calculate t(m(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**3\/9 + 44*k**2\/3 - 590*k - 362024\/9.\nAnswer: 2*(k - 52)*(k + 59)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 6 = 3*n. Let d be 2\/n - (-834)\/(-21). Let m be (d\/6)\/((-3)\/9). Solve 5*p + 8 = -3*r - 9, 4*r - 4*p - m = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -86316644, -172633292, -258949940, -345266588?\n\"Answer: -86316648*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-6\/11)\/b)**28\/((b*b\/(b\/(b\/b**(-20)*b)))\/((b\/((b*b**39*b)\/b)*b)\/b)))**(5\/6) assuming b is positive.\nAnswer: b**(-965\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 4*v + 6 = -18, -5*v - 30 = -5*j. Suppose 50*o = -17*o - 85*o. Solve j*f = -o*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*b - 2*b - 60. Let p(i) = 4*i - 5*i**2 + 0*i**2 + 4*i**2 + 12*i + 2. Is 15 a factor of p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 4035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 - 34. What is the third biggest value in -3, 2, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 513764.6 years?\nAnswer: 51376.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -473*f + 4. Let i(x) = 935*x - 9. What is -9*h(s) - 4*i(s)?\nAnswer: 517*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3\/4 + 1113*y**2\/4 + 2223*y\/4 + 1111\/4.\nAnswer: (y + 1)**2*(y + 1111)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24972 = 962*a + 3808 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1486 and 52010?\nAnswer: 52010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 0.3, -2.5, -1, 13, -0.204?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/3)\/n*n)**(2\/51))**(-41) assuming n is positive.\nAnswer: n**(-164\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 178*i*z**3 + 39*i*z**2 - 1032*i*z + i - 3*z wrt z.\nAnswer: 1068*i*z + 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - 3*z - 13. Let b be x(6). Suppose 287 = k - d, -10*k + 1441 = -b*k + d. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i + 21. Let p be z(6). Suppose 0 = -8*b + 11*b - p. Suppose 13*g - b*g = 8. Solve -g*h - 4*j = -h - 20, 0 = -2*h + 2*j + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22911 + 8741?\nAnswer: -14170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 - 1)*(22 - 12 - 18)*(-5 + 6 - 3)*(a + 2*a - 5*a) to s + x*a and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 - -25. Suppose 3*y + 15 = 3*g, y - g = -4*y - 17. Which is smaller: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xwx when three letters picked without replacement from {w: 2, x: 2, h: 4, b: 1, q: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1575 + -1574.8. What is the third smallest value in 2\/3, s, 0.3, 66?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-3)*(-360)\/60?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -92*l + 87*l - 30 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 37\/5 of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-12)\/(-2))\/3)\/((-11)\/(11\/(-52))).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1081\/1050 + 46\/75. Calculate the common denominator of a and (140\/(-2520))\/(-2 - 3340\/(-1665)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**3 - 30*v**2 - 156*v - 168.\nAnswer: 3*(v - 14)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.214 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 826047 + (-800)\/32 + 4\/((-8)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.19 + 1.41. Let u = -1411.5944 - -1410. Let i = x + u. Round i to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 194*t - 22*t - 1561 = -51*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10635 is divided by 3543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(605))*-6*1.\nAnswer: -66*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 5*g**2 - g + 1. Let p be z(2). Suppose j + 3*x - p = 0, -2*x + 4*x + 22 = 2*j. Let t be -5*(0 - 16\/20). Solve -3*v + 4*v + j = -t*m, -20 = 5*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81*f + 68*f + 109*f - 524*f - 484*f.\nAnswer: -912*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 494770947.\nAnswer: 3, 11, 67, 109, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -330*j - 16*j - 306*j + 24776 = 0 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7021030*q**3*y**3 - 2*q**3*y**2 + q**3 + q**2*y - 54*q*y**2 - 777*y**2 wrt y?\nAnswer: 42126180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 11*j**2 + 2*j - 1. Let u be l(1). Let z = 20 - u. What is the remainder when (-6)\/(((-22)\/484)\/(1\/6)) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -23, 1, 0, 4665, -3 in decreasing order.\nAnswer: 4665, 5, 1, 0, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 10}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.9548  (b) -3  (c) 1.4  (d) -4\/3  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 2088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 1\/2, -5, -2\/155, -6, 24 in increasing order.\nAnswer: -9, -6, -5, -2\/155, 1\/2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((4*(0 + sqrt(684) + sqrt(684) - sqrt(684)))**2 + (sqrt(684) - -1*(0 + sqrt(684) + sqrt(684)))**2).\nAnswer: 85500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111101100110111000010011011010 + -100?\nAnswer: 111101100110111000010011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/(i*(i\/((i*(i**(-14)*i)\/i*i)\/i))\/i))\/(i*((i**(-6\/5)*i)\/i*i)\/i*i))**(1\/53) assuming i is positive.\nAnswer: i**(-64\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -5*o**3 + 68*o**2 - 17*o + 5. Let p(i) = 3*i**3 - 45*i**2 + 12*i - 3. Let j(r) = -8*p(r) - 5*v(r). List the prime factors of j(-18).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + (1 + -6 - (-21 - -6)). Is -4 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21104 (base 5) to base 15\nAnswer: -639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 11457625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 8:38 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 284*y + 2. Let d(r) = 4*r - 18. Determine h(d(w)).\nAnswer: 16*w**2 + 992*w - 4786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h + 29. Let o be b(-13). What is the greatest common factor of o and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 - 0.09342?\nAnswer: -0.04342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -21714 divided by -3\nAnswer: 7238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1604, -3062, -4544, -6062, -7628, -9254, -10952, -12734?\n\"Answer: -2*b**3 - 1444*b - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1314, 1420, 1582, 1782, 2002, 2224?\nAnswer: 2430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 510 is divided by 4*8\/(-6)*24\/(-2).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 525.048 + -527. Let f = l - -6.957. Let m = f + -0.005. Sort 11\/2, 1, m in decreasing order.\nAnswer: 11\/2, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*a**5\/5 + 6*a**4 + 416*a**3\/5 + 474*a**2\/5 - 693*a\/5 - 216\/5 = 0. What is a?\nAnswer: -3, -3\/11, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 12 = 0, 5*h = -5*u + 164 + 31. Let k = -36 + u. Put k, 4, 97 in decreasing order.\nAnswer: 97, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 3 - 4) + 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*g - 235 + 255 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*w + g, w + g - 10 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from ggqqqgggqqqqg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -172 + 140. What is the hundreds digit of (-28 - g)*(-2586)\/(-8) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**3 - 3*t**2 - 4*t + 6. Determine a(6).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15daa (base 14) to base 11.\nAnswer: -3821a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of 0*k**2 - 7*k + 0 + 0*k**5 + 0*k**6 + 0*k**3 + 0*k**4 - 1\/210*k**7. Let y(i) = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 7689609397?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4*k**2 - 5*k + 4. Let i(l) = -l**2 - l + 1. Let c(o) = 3*i(o) - t(o). Let p be c(1). Solve 1 + p = -3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 1:53 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1893781 + -719636083\/380. Let r = d - -3\/190. Calculate the common denominator of r and -77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from vvvvvvvavvavva.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1822 minus -0.8?\nAnswer: 1822.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (26 - 14)*(-2)\/54*3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22, -35, -44, -49, -50?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12686048 is divided by 673?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 316*h**4 + 5*h**2 - 11206*h wrt h.\nAnswer: 3792*h**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 468, 457, 446, 435, 424?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 51417853 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7720)\/3088*2\/(20\/(-21)).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 270 divide 183971587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 13 + m**3 - 3*m**2 + 3*m**2 to r*m**2 + h*m**3 + z*m + p and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 27)\/(-1 - (2 + -5)). Suppose -4*h + 5*j = o, 2*h + j + 7 = -2*h. What are the prime factors of h\/2 - (-630)\/((-30)\/(-5))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -1\/8, 4, -3 in decreasing order.\nAnswer: 4, -1\/8, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 841 = -2*f, 6*i = 4*i + 5*f - 548. What is i rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 5*v - 11 - 14, 5*v - 15 = 0. Let k = y + -6. Is ((-262)\/4)\/(2\/k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 0.4, -97, -12.1, -4, 193?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 44*r**3*x**2 - 2*r**2*x - 63*r*x**2 + x**2 wrt r.\nAnswer: 264*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1289, -978, -447, 304, 1275?\n\"Answer: 110*a**2 - 19*a - 1380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*i**5\/3 + 105168*i**4 + 389744353*i**3\/6 + 371690603*i**2\/2 - 143951909*i\/6 + 1515361\/2 = 0.\nAnswer: -1231, -3, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l**2 - 5*l. Let b(r) = -13*r**2 - 8*r. Let w(s) = 3*s**2 + 2*s. Let o = -330 - -348. Let y(d) = o*w(d) + 4*b(d). Calculate 4*i(v) + 5*y(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -214 + 218. Let r(j) = 25*j - 87. Let o be r(g). Is o at least as big as -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5590783 to the power of 1\/2, to the nearest integer?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/11 in -535, -5, 2.105?\nAnswer: 2.105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4117867 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*l**2 + 7899*l - 1054.\nAnswer: (3*l + 527)*(15*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 96021*r**3 + 184689?\nAnswer: 288063*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 41652306\nAnswer: -208261530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44315 + 41399 = -243*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 12397502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and ((-4626)\/8)\/(-2*(-4)\/(-32)).\nAnswer: 4626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppl when three letters picked without replacement from {q: 6, l: 2, r: 4, p: 2, y: 5}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 282, 283, 286, 291, 298, 307, 318?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1348, -2694, -4038, -5380?\n\"Answer: r**2 - 1349*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.41 + 0.09. Let w = 6 + -2. Let m = k - w. What is the nearest to 1\/2 in -4, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4292?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - o)*(-4 + 6 - 9)*(-2*o - o + 0*o).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -42*m**2 - 453*m + 52. What is b(-11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of d**6\/360 + d**5\/120 - d**4\/12 - d**3\/3 + 25. Let j(x) be the third derivative of u(x). Calculate j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -5*n + 44. Let o(a) = -4*a**3 - 7*a + 14. Let k(d) = 2*d**3 + 3*d - 7. Let v = -63 - -66. Give n*k(m) + v*o(m).\nAnswer: 2*m**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 10*r**3 + 246*r**2 - 1211*r. Let s(j) = 5*j**3 + 131*j**2 - 606*j. Let o(p) = -6*h(p) + 11*s(p). Find g such that o(g) = 0.\nAnswer: -15, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**0\/k)*k)**36\/(k**(2\/3))**35 assuming k is positive.\nAnswer: k**(254\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 PM and 5:49 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 1 + 2663*c**3 - 2665*c**3 - 37*c - 61*c**2 + 21. What is the remainder when m(-30) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 89580?\nAnswer: 89580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1172179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 30 = -224*d + 210*d, 0 = -4*v - d - 108 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**4\/2 - 3704*f**3 + 44485*f**2\/2 + 3704*f - 22242 = 0.\nAnswer: -7414, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -11  (b) 2\/9  (c) 6937\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 5*k**5 - 2*k**4 + 7*k**3 - 7*k**2 + 7*k - 7. Let i(w) = -4*w**5 + 2*w**4 - 6*w**3 + 6*w**2 - 6*w + 6. Let f(o) = 7*i(o) + 6*z(o). Factor f(c).\nAnswer: 2*c**4*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -824*a + 38540 = -354*a for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + j)*(3 - 3 - j + (120 - 131 - 290)*(j - j - 2*j)) in the form t*j**2 + s*j + o and give t.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 2519*t**6\/30 - 11*t**4\/12 + t**3\/6 - 55*t**2\/2 + 409*t + 6. Find the third derivative of c(d) wrt d.\nAnswer: 60456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -279 + 561\/2. Let z(i) be the first derivative of 2 + 0*i + 0*i**4 + 0*i**3 + 1\/5*i**5 + w*i**2. Find the second derivative of z(r) wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-5)\/((((l**(-2\/5)\/l)\/l*l*l)\/l)\/l))\/(((l\/l**(-3))\/l)\/l*l\/(l*l*l**(-1\/4)*l))*l**(-6)\/(l\/(l**(-1\/7)\/l)*l)*(l**0*l)**44 assuming l is positive.\nAnswer: l**(4481\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4\/3*g**3 - 2\/3*g**2 + 2\/3 + 1\/3*g**5 + g + 0*g**4 = 0 for g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18580172 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {d: 4, y: 2, w: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1141 divided by 5.\nAnswer: -1141\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-85))\/((-6)\/15)*4\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -40 + 44. Determine w, given that -3*w + 15*w + 15*w**3 - 6*w - 5*w - 7*w**2 - 9*w**p = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4\/7, -40, -4, -0.2, 3\/88?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 17*d**2 - 3*d - 1. Let c be l(-1). Let j = c - 33. Let x be -15 + (14\/(-1))\/(-7). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -57.99 to the nearest integer.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -6. Let z be (1 - (-3)\/(-3))\/d. Suppose 10 = 3*w + 2*w. Solve z*p = w*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/2291 + -57218\/130587. Let c = -3233 + 77731\/24. Calculate the common denominator of c and o.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (129 + 31 - 48 + (4 - 2 - 1)*(3 + 0 - 1))*(-2*i + 2*i - i) as v*i + w and give v.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 + 28*u - 27. Let f be m(27). Let w(n) = n + 4. Let j be w(f). Let r be -4*1\/(-2)*1. Solve 0 = 2*y - j - r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 12:45 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*2 - (-312)\/159. Let u = y + -49\/106. Let x be (3 - -1) + (1 - 80\/15). Which is the third smallest value?  (a) u  (b) x  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -86426.7 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 + 7*h - 5. Let v be m(-8). Suppose 0 = -2*f + f - v. Let s(q) = q**3 + 3*q**2 - q + 3. Give s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + (-7 - -11) + 4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -13, -45, -127, -283, -537, -913, -1435?\n\"Answer: -4*u**3 - u**2 - u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/9 + (2178\/81)\/(-22))*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-608)\/(-60) + -6 - (-4)\/(-30). Solve n + t*n - 15 = -5*j, 5*n - j + 15 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41.86302mg to tonnes.\nAnswer: 0.00000004186302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -623*m + 7 + 268 + 971 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 554692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2334, 9\/25 in decreasing order.\nAnswer: 2334, 9\/25, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 60268406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + m - 155 = 0, -a + 52 = -5*m + 11. Let w = a - 50. List the prime factors of (w + 0 - 178\/(-6))*3.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -153577 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 5*d - d - 3749, -18777 = 5*g - 4*d. Let s = g + 31958. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -2*x + 5*h - 1, -12 = -3*x + 3*h. Solve -2*k = -3 + x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1831816*g**3 - 2*g**2 + 157*g + 1402?\nAnswer: -10990896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 53867 and 177?\nAnswer: 161601","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -6 - (5 - (-9 - 4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, o: 16}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19849 - 1.1.\nAnswer: -19850.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -114120736 from -0.026.\nAnswer: 114120735.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1\/t)\/(t*t**(6\/13)*t)*(t**(-5\/9))**(-12\/13) assuming t is positive.\nAnswer: t**(-76\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5392 = 51*a + 6361 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + z**4 + 1)*(72 - 139 - 142) + 0*z**4 - z**4 - z**4 to the form x*z + s*z**2 + f*z**3 + g*z**4 + p and give g.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -3*a**3 - 44*a**2 - 4. Let q(m) = -m**2 + 2. Calculate -2*q(i) - s(i).\nAnswer: 3*i**3 + 46*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/35)\/(12\/(-30)). Let s = 51808 + -51806. Factor 12\/7*y + p*y**s + 10\/7.\nAnswer: 2*(y + 1)*(y + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 6790*v - 273192. Give s(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 8:44 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*a = -67*a - 630. Solve h - 41 = -a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*z + 2222 - 2986 = 3268. What is the remainder when z is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a**3 + 11*a**2 + 269*a + 34. What is d(15)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -16*a - 5. Let c(k) = 47*k + 14. Suppose -z - 2*y - 2*y + 11 = 0, 2*z - 12 = -3*y. Let o(u) = z*c(u) + 8*r(u). What is the units digit of o(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + 7*z**2 - 198*z**3 + 68*z**3 - 2*z + 61*z**3 + 75*z**3 to the form t*z**2 + a*z**3 + i + u*z and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000051641 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 46047 and 207.\nAnswer: 3177243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2093.\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.3  (b) -396  (c) -17  (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/6)\/((-7)\/(-63)). Let w(v) = -3*v**3 + 0*v + 3*v**2 + 2*v**2 + 4*v**c + v - 2. Calculate w(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1499*w**2 + 3480*w**2 - 4251*w**2.\nAnswer: -2270*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(45)*-2 - sqrt(45)) + sqrt(45))\/sqrt(9).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0231*-71579.\nAnswer: -1653.4749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -253 + 363. Suppose z + 3 = -4*h - 4, -2*z - 2 = 2*h. Let p(q) = 45*q - 1. Let a be p(z). What is the greatest common factor of l and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 4440*b**2. Let a(z) = -18*z - 10. Let j(s) = 11*s + 6. Let v(y) = 6*a(y) + 10*j(y). Give h(v(i)).\nAnswer: 17760*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-10)\/(-6)*(-1014)\/(-130). Solve x*a - 2*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - o - 16. Let s be q(-6). Let l = s - 1. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 10*p - 10. Let f = -5 - 11. Let a(b) = -2*b + 2. Calculate f*a(l) - 3*m(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + 6*n. Let x(a) = 2*a**2 + 13*a - 1. Suppose -10 = -5*w + 5*v, 63*w = 59*w + v + 23. Calculate w*k(s) - 3*x(s).\nAnswer: s**2 + 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = 8*j + 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-62)\/108 - (-34)\/459)*(-57 - 5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 4*f**2 + 22*f + 14. Let y be i(-6). Let d be y\/(-65) + 52\/5. What is the highest common divisor of d and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11780*k**3 - 51683*k**3 - 55627*k**3 - 11933*k**3 + 11180*k**3.\nAnswer: -96283*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 8) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 5*m + 30 = 0, 2*w + 171*m = 167*m - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 268 + -803\/3. Suppose -5*g + 1 - 141 = 0. Let r be 5\/(-2)*g\/(-175). Which is the closest to z?  (a) 4\/7  (b) 2\/15  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of y**6\/15 - y**5\/10 - y**4\/6 + y**3\/3 + 109*y + 1. Solve h(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34.7 - -35. Which is the nearest to -2\/7?  (a) q  (b) -0.03  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -1, 9113 in descending order.\nAnswer: 9113, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*q - 8622 + 4540 = -4407, 0 = 2*y + 5*q - 127 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1382.319mm to meters.\nAnswer: 1.382319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -31*p + 150. What is g(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -107 + 173. Let h = j + -67. Which is the closest to 0.4?  (a) h  (b) 5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 51*b + 1577 - 3114 + 1580. Is w(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*w**2 + 271*w - 268*w + 22*w**2 + 23*w**3 - 16*w**3 - 3 as q*w**2 + n*w**3 + v + b*w and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 398223*b - 1592939. Calculate r(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -66815*l**3*o**3 - l**3*o**2 + 4344*l**3*o + 155*l**3 - 4*l**2*o + 31*o**2 - 2*o wrt o.\nAnswer: -400890*l**3*o - 2*l**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15610 and 15120?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-90)\/(-4))\/9*-4. Let t be 6\/j + (-26)\/(-10). Suppose -5*u = 4*b - 8, t*b = -0*u - 5*u + 4. Solve k + u + 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 15972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -39 - -739\/19. Suppose -5*v = 3*t + 4, 2*v + 2*t + 2 = -2. Is x at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 3 c when four letters picked without replacement from {c: 4, m: 7, r: 5}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of r**5\/20 + 5*r**4\/6 - 2*r**3 + 8*r**2 - 3*r - 1. Let w be a(-7). Calculate the highest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of 0*l**3 + 5\/12*l**4 - 2*l + 0*l**2 + 0. Solve y(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.6 - -4.6. Let v = 3.0197 - 0.0297. Let j = x - v. What is j rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (600\/(-276))\/(36\/(-15)) and 101\/2.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(10\/35)*(-19)\/((-3724)\/840).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/3)*u)**(-36)*(u*u**(1\/25)*u)**33 assuming u is positive.\nAnswer: u**(1083\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (3 + 0 + 3 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -602*h**3 - 204*h**3 + 161*h**3.\nAnswer: -645*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 235, 120, -81, -374, -765?\n\"Answer: -h**3 - 37*h**2 + 3*h + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 8 + 5 + 2*p - 107 - 3*p + 107 + (p - 2*p + 0*p)*(-1 + 1 + 2) + 3*p - 4*p - p in the form s*p + v and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) + sqrt(119)*-1)*4 + -2*sqrt(119)*-5)\/(-4*(3*1*sqrt(448) + sqrt(448) - sqrt(448))).\nAnswer: -5*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*l + 63 + 489 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*a - 4425 = 25*a. Let v = -492 - -4436\/9. Calculate the common denominator of 1\/5*a\/40 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4*(2 + 5*(-4 + sqrt(300) + 1)**2*-1).\nAnswer: -6174 + 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 11:54 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/15276 and 38\/19363.\nAnswer: 4414764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44\/93 + -6\/31. What is the smallest value in 4, 0.4, r, 11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 11 = -9. Suppose -2*t = s*t + 20, -1260 = -5*r + t. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 34 = 5*w. Suppose 4*m + 131 - 3 = -5*l, -2*m + 3*l - 64 = 0. Let z = w - m. Calculate the remainder when 43 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18 - (-32 - -18)) + (1 - (-1 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 237 - 107. Suppose 7*y + 10*y - 3*y - 364 = 0. Calculate the greatest common divisor of u and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of h**4\/4 + 5*h**3\/2 + 33*h**2\/2 - 27. Let o(t) be the second derivative of m(t). What is the units digit of o(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 88*u**2 + 41*u**2 + 2639*u - 2695*u + (-2*u - u + u)*(-1 + 1 - 2*u).\nAnswer: 133*u**2 - 56*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 16, -c - 2*i + 4*i = 249. Let a = 378 + c. Let t(h) = h**3 - 5*h**2 - 5*h + 5. Let f be t(6). What is the greatest common factor of f and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3\/8, -65, 0, 2\/1341, 1\/6?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 82\/(-10) + (183\/15 - 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2413 - -2412.41008. Let j = 0.59 + r. Round j to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.4, 1, 1\/5.\nAnswer: -1, 1\/5, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**2 - 12*k + 6. Determine w(7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**2 + 101*i - 351. Let o be y(47). Which is the closest to 0.1?  (a) -3  (b) -2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1219*k + 4 + 70 = 2*a + 1216*k, 0 = 3*a + 4*k - 111 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*g = -148*g - 129*g + 10672. Calculate the remainder when 1391 is divided by g.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 381361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -415 divided by -1302\nAnswer: 415\/1302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5010 and 668?\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of -3*p**5\/5 + p**4\/6 + 7*p**3\/6 + 5*p**2\/2 + 4*p + 8. What is the least common multiple of 6 and j(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 4*m + 416, 4*o - 5*m + m - 336 = 0. Suppose -5*q + o = 2*x + 2*x, -5*x = 4*q - 55. Suppose q*s - 23*s = 0. Solve s = g + 9 - 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -370*k + 365*k - 3 = 2*s, -4*s = -k + 39 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 695 = 3*u + 2*z, -4*u = z - 936. List the prime factors of u.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/36801?  (a) -7  (b) 3\/8  (c) 0.1  (d) 5\/4  (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -3*g. Let j be n(-1). Suppose 5 = -3*z + 3*l + 2*l, -j*z - 1 = -l. Factor 57*u**4 + z - 4*u**3 - 55*u**4 + 0 + 2*u**2.\nAnswer: 2*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 258198, 257135, 256076, 255021, 253970, 252923, 251880?\n\"Answer: 2*o**2 - 1069*o + 259265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1100465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -305, -1390, -3231, -5828?\n\"Answer: -378*j**2 + 49*j + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 584621341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.9179278t?\nAnswer: 917.9278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3 and 640900822044.\nAnswer: 640900822047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1085257 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/33 - ((-2134480)\/(-973500)*-5 - -11).\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/5182 and -71\/8.\nAnswer: 20728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -24040 (base 6) in base 12?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1290 divided by -6\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -245 + 427 - 182 - 226*o. Let m(w) be the second derivative of w**3\/6 - 2*w. Calculate m(h(f)).\nAnswer: -226*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 31092 smaller than 31092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + -2. Let x be (-10)\/g*(-5 - 1). Calculate the common denominator of -19\/5 and (x\/6)\/((-14)\/15).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from wwddwdddddwdwddd.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**2 - 3*p**2 + p**2)*(-3 + 2 - 1) + p**2 + 1 - 1 + (0 + 2 - 1)*(5*p - 5*p + 2*p**2).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -25.38 + -0.62. Let g = q - -26.2. Let i = -151 + 150. Which is the closest to 1?  (a) g  (b) i  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/133 and 74\/171.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -28 - (-11 + 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -5  (c) -19  (d) -0.1  (e) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -838 + 1515. What are the prime factors of i?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/((-1050)\/(-40))*10\/36?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -110761 and -901470.9?\nAnswer: 790709.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4034 (base 7) to base 8.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -3*d + 27, -3*d + 3*s - 7*s = -6. Let v be 60\/d*(-4)\/10. Is 1 - 1488*(-2)\/(-12)*v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6093 - -6106.033. Let y = q + -0.033. What is the biggest value in y, 1\/9, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3927, -15713, -35353, -62847?\nAnswer: -98195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1.47617 times 2.87\nAnswer: 4.2366079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -124567000 rounded to the nearest one million?\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 114262262 to the power of 1\/3, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 765, 1510, 2257, 3006, 3757?\n\"Answer: l**2 + 742*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 8*h**2 + 5*h - 13. Let r be z(-7). Is r less than or equal to -8\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -0.5, -504, 4, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-20)\/(-15))\/(1\/(-12)). Let b be x\/12*(-8 + -1). Let a = 22 + -10. Calculate the greatest common divisor of b and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + -18 - (9 + -20)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-2\/29)*c)*c\/c**(-20))\/(c**(2\/3)\/c**2) assuming c is positive.\nAnswer: c**(1949\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9195 and 18570?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -7. Let g = 1.9 - 2. Let q = g + -1.9. Which is the third smallest value?  (a) v  (b) -5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 - 0.36. Let w = -0.76 - q. Let k = -4.2 + w. Which is the nearest to 1?  (a) -1  (b) k  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -78 + 72 + (-3 - (0 + -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2654, 11330, 25780, 46004, 72002, 103774, 141320?\n\"Answer: 2887*z**2 + 15*z - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10444 is divided by 721?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -209 + 445. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z - 13 = 4*l - 49, 5*l = -5*z - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*g = 36 + 45 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 6  (c) 2  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2\/13, -4, 0.2, 5\/323, -0.1 in descending order.\nAnswer: 1, 0.2, 5\/323, -0.1, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**2 - 1686544*g + 3373072.\nAnswer: 4*(g - 421634)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.49 - 0.01. Let g = -0.1 - t. What is the biggest value in g, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-102)\/(-4) - (-1)\/(-2) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2282*b + 694*b - 18 + 18 as g + c*b and give c.\nAnswer: -1588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7500*j**2 - 18*j + 18701510?\nAnswer: -15000*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of 13*n**2 - 103*n + 69. What is the hundreds digit of q(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 33*d + 3269 = -106*d - 140*d - 79 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73*y - 147*y + 83*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-t**2 - 4 + 4)*(-17 - 10 - 2) - 10 - 9*t**2 + 10 in the form l*t**2 + x*t + a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13470688 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 2*i + 180. Let f = -6851 + 7027. Calculate the remainder when f is divided by i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.05883 - 0.00426. Let t = 0.02968 + s. Let q = 0.034 + t. What is q rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 - 11*p - 9. Let c(z) = -z**3 - 3*z**2 + 2*z. Let b be c(-4). Suppose -5*h = -10, -h + 30 = 2*x + b. Give l(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 7696085, 15392260, 23088435, 30784610, 38480785?\n\"Answer: 7696175*o - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 4.3. Let y = -395.8 + 393.8. Which is the nearest to y?  (a) 0.8  (b) -1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 183*h**2*z + 5*h**2 - h with respect to z.\nAnswer: 183*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000168713 rounded to 7 dps?\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 225406, 899685, 2022840, 3594871?\nAnswer: 5615778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**3 + 6*n**3 - 2 - 1 + 6*n**3 + 5*n**3 + n - 2*n**4 as r*n**4 + h*n**3 + v*n + b*n**2 + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 10*z + 12. Suppose 8*j + 27 = 5*j. Let u be i(j). Solve v = -2*f - 3, 0*f = u*f + 5*v - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -132797976 divided by -544254\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4059853*i**5 + 365*i**2 + 33689*i + 8 wrt i.\nAnswer: 243591180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 12 = 6*u - 10*u, -o = -4*u - 21 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5485, 5486, 5487, 5488?\n\"Answer: v + 5484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 588741.\nAnswer: 3, 196247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 2:56 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 28 + -1. Let h be r\/5 + (-2)\/5. Let c(j) = 3*j**2 - 2*j. Let y be c(2). Solve 0 = -4*l - 2*v - 2, 5*v + y = -h*l - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16455\/4858 - 60\/347. Calculate the common denominator of 27\/7 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 266*a**3 - 205*a**3 - 3 - a - 62*a**3 + 3*a**2. Calculate y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkxkkkkkkkkkkkkxkk. What is prob of sequence kkxk?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -480644 = -2*s + 92182. Suppose -b + s = 956413. What is b rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 16) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 841725 (base 9) to base 7.\nAnswer: 4151411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7754592 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 23959073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152*m**2 + 49*m - 150*m**2 + 60*m.\nAnswer: 2*m**2 + 109*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*m = 72. Let r be (m\/(-5))\/(10\/425). Suppose 2*v + 34 = -2*s + r, 0 = -4*s - 2*v + 348. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 301 a factor of 24959539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + -42 + 38 + 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 + 1 + (-2)\/2. Let a = s + 0. Suppose -a*g = g - 340. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 11*r - 9*r + 10, 6*r - 38 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 4575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/179 + -449\/48330. Which is the third biggest value?  (a) 1  (b) w  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 16b - -cb?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0087 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*j + 3*j + j)*(3*j + 3*j - 5*j) + (j + j + 0*j)*(3 - 3 - j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -5*x - 46, x = -x. Suppose -5*c + d - 253 = y, 5*c + 215 = 2*y. Let h = c + 64. Solve -h = -5*t + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6849*c*s**4 + 2*c + 12*s**4 + 20*s**2 + 5516 wrt s?\nAnswer: -164376*c*s + 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -37*z**2 - 5*z + 3. Let u(g) = -36*g**2 - 6*g + 3. Let d(c) = -3*t(c) + 2*u(c). Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192643 = 12850*a - 154307 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 89397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6997 + 245 + 439 - 2063 - 5828)*(-d**2 - 2*d**2 + d**2) to y*d**2 + a + t*d and give y.\nAnswer: 28408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13399*u + 8*u**2 - 3*u**2 + 6706*u + 6693*u + 2*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-5\/3))**(1\/10))**(3\/20))**(-9\/4) assuming l is positive.\nAnswer: l**(9\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**2)**9\/((w\/w**(-1))\/w)**(-13)*w\/w**(-2)*w*w**(-1\/17)*w**(1\/15)*w**(-2\/7) assuming w is positive.\nAnswer: w**(61979\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 + 344*a - 884401. What is c(784)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-119)\/51)\/(28\/12 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - z = 4*z - 10, -4*z = -4*x - 8. Suppose -3*r + 7*r = x. Suppose 3*c - 2*c - 2 = r. Solve -c = 2*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 625 and 82304375.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 1\/5, 0.3, -4, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7622 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 4*d**3 - 6*d. Suppose -2*u + 7*u = 30. Let h(a) be the second derivative of 0*a**2 - a - 1\/6*a**3 + 0 + 0*a**4 + 1\/20*a**5. Calculate u*h(f) - z(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 5 = 4*b, 5*b - 4*b = -5*r - 30. Let p be (r + 10 - 1\/(-8)) + -5. Let m be 1\/5 + 32\/(-10). What is the fourth biggest value in 1, m, p, 2\/19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = 0, 0 = f - 3*f + 3*i + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c**2 + 170*c - 2336. Calculate n(17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44273.\nAnswer: 44273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 68404 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - 41*f - 1079. Calculate j(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5030 + -5685. Is t not equal to 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 41 - -66005?\nAnswer: 66046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + 5*s + 2. Let n be u(-5). Suppose -8 = -h - h, 2*k = h + 12. Suppose n*b - k = b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -336743*m**2 - 848*m + 101?\nAnswer: -673486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3904 and 609871168.\nAnswer: 3904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (16 + 1189\/(-82))*(-112)\/12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, -1.4, 1\/3, -63, 1\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -62 + 13646?\nAnswer: 13554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4282 - -9948. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 10001100011010?\nAnswer: 10001100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (5 - 17 - -4) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92619 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.027  (b) -0.8  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 4. Let a be v\/(-2 - (-1 - 2)). Suppose 3*d - 5*r + 346 = a*d, -3*d + 5*r + 1138 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3\/2126 + -35603\/5315. What is the common denominator of 83\/118 and c?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*2 + (15 - 5 - -24). Suppose -5*t + 983 = -d. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -106.3, 3, 6235?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - 7. Let o = 7 + -1. Suppose 104*i = 180*i - 110*i. What is the closest to i in o, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12221 divided by 30?\nAnswer: -12221\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -3*k + 207, k - 99*d - 66 = -101*d. Calculate the lowest common multiple of 98 and k.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.855 - 0.145. Let p = -4 + -3. Which is the nearest to -1?  (a) 0.2  (b) p  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of 5*d**4\/12 + d**3 - 5*d**2\/2 + 16*d. What is the remainder when z(-5) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95*z - 939050 - 941665 = 0. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/5*20\/4. Let s = -231 + 1151\/5. Which is the nearest to z?  (a) s  (b) 0  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1 - 1.1. Let l = 21 + -26. Let s be (-1)\/(-12) - 2\/8. What is the nearest to g in l, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of a**3*b + 15*a**3 - 103*a*b - 3*a wrt b?\nAnswer: a**3 - 103*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + l - 1 = 0, -4*g + 5*l - 5 = -5*g. Which is smaller: g or 3\/313?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -12*w**2 + 7*w - 2. Let o(z) = 6*z**2 - 2*z - z + 0*z + 1. Let y(c) = -9*o(c) - 4*x(c). Suppose -2*i = 1 + 1. Give y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 36 + -34. Suppose n*f = -0*d + 2*d - 12, -d + 3*f = -12. Suppose -d*c + 5*w = 18, 4*w - 3 = 9. Sort -3, 3, c, 7 in increasing order.\nAnswer: -3, c, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -491121, -1964483, -4420087, -7857933, -12278021, -17680351?\nAnswer: -24064923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 5*z**2 + 2*z + 6. Let c be r(-5). Let m(a) = a**2 + 2*a - 5. Let v be m(c). Suppose -v*b + 44 = b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69681514303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus 1185.8?\nAnswer: -1182.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-87*t**4 + 190*t**4 + 107*t**4)*(-1 + 0 - 3 + (3 + 2 - 3)*(-2 + 2 + 1)).\nAnswer: -420*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v**2 - v - 5. Let h be w(-2). Suppose j = 29 + h. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10032 divided by -451\nAnswer: -912\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 583*u + 675*u - 21682 = -749*u + 1421*u for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -22781, -91316, -205627, -365714?\n\"Answer: -22888*a**2 + 129*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -12*r**2 + 11*r. Let g(f) = f**2 - f. Let w = -1926 + 1904. What is w*g(v) - 2*c(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w + 0*w + 4*w**2 - 6*w**2)*(-2*w**2 + 3*w - 3*w).\nAnswer: 4*w**4 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 43, 4, 667 in decreasing order.\nAnswer: 667, 43, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139193 is divided by 1435.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 926530\/7631 > 121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22 - 32. Let c be (r*7\/(-35))\/((-1)\/(-8)). Determine g so that -16*g + c + 2*g**3 - 12*g**2 + 4*g**4 + 8*g**3 - 2*g**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 135 - -10123510?\nAnswer: 10124045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w and 1 q when four letters picked without replacement from wwwxq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 12 + 7 = 0. Let f(s) = -s + 8. Calculate f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 3*h + 4*h = 8, 0 = -c + 5*h - 14. Suppose -m = -4 + c. Let w(a) = 2*a - 3. What is w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 2*m - 32, 0*i - 5*i = 4*m - 64. Differentiate -22 - m + 12 - 2 + 9*g with respect to g.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -173, -192, -257, -392, -621?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, -1, 3, 224 in descending order.\nAnswer: 224, 41, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*u + 140 - 836 = 708 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 14*b**2 - 4*b + 59. Let a(h) = -41*h**2 + 11*h - 168. Calculate -3*a(t) - 8*k(t).\nAnswer: 11*t**2 - t + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1597 - -1600. Solve 0*l - a = l + 5, u*a = -l - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -74.36 and 792537251.3.\nAnswer: 792537176.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16582 is divided by 8259?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 5:58 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 22*u - 7. Let y(c) = 26*c - 9. Let h(p) = 7*m(p) - 6*y(p). Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j + 26805 = 14*j + 2*r, r = -2*j + 10721. List the prime factors of j.\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 13*a - 2. Let c(j) = j. Let m(d) = d**2 + 4*d - 46. Let k be m(-9). Determine k*i(b) - 3*c(b).\nAnswer: -16*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - 1. Let p be i(-2). Suppose u + p*u - 144 = 0. Suppose 0*c - 3*c = -u. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7b212 - 121?\nAnswer: 7b0e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177 = -4*i + 91. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) - (0 + (sqrt(432) - (1 + sqrt(432))))) + sqrt(432) - (sqrt(432) + (5 + 0 + sqrt(432) - sqrt(432) - sqrt(432)) - sqrt(432)))**2.\nAnswer: -288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/(-7))\/(1\/(-7)). Suppose 5*d = -p*y + 4*y + 63, -3*d + 65 = 2*y. Calculate the remainder when 99 is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 10*a - 22. Let w be r(3). Suppose -w*t - 12*t + 8820 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 12 = -8*q. Put q, 1, 0.38, -2\/9 in ascending order.\nAnswer: q, -2\/9, 0.38, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, j: 18}. Give prob of picking 2 j.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/18108 and -61\/18108.\nAnswer: 18108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 10111011001001101010 (base 2) to base 13\nAnswer: 20abbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 - 15*t - 7. Let q be 6\/(-5)*(-50)\/(-15). Let z = -10 - q. Is m(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - 5\/(105\/(-46)). Let n = -1\/105 - h. Which is the smallest value?  (a) -2\/13  (b) 1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5247700 divided by -970.\nAnswer: 5410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -19\/4 bigger than -23908\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2 or 5343.46?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25508 = -633570*z + 632659*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*w = 14*w + 16. Sort 5, -4, w in ascending order.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/49 - 410\/441. Let h = -2 - -2. Which is bigger: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 21*i**3 - 14*i**3 + 9*i**3)*(-2 + 5 - 1).\nAnswer: -52*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 6*g + k + 24 = 0, -3*k + 36 = 3*g. What is the third derivative of -30 + 22*r + g + 109*r**3 + 4*r**2 + 18 wrt r?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a - 24 - 37 = -a - 4*o, 0 = 5*a - 4*o + 79 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 747198232 to the power of 1\/2, to the nearest integer?\nAnswer: 27335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add -3764.31 and 7.\nAnswer: -3757.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, g: 1, b: 4, d: 1, c: 2, p: 3}. What is prob of sequence pu?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 c, and 2 s when four letters picked without replacement from stcsc?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/(-30) - (-44)\/10. What are the prime factors of 26 - 0*(-2)\/v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a day in hours?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -35857189 or -107571566\/3?\nAnswer: -107571566\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/18 + (-4)\/(-12). Suppose -21 = 5*k + i, -3*k = k - 3*i + 32. Which is the nearest to -1?  (a) h  (b) -0.4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 16*c**3 + 3*c**2 - 3*c + 5. Calculate l(2).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.01 + 1.01. Put 3\/7, s, 1\/4 in ascending order.\nAnswer: 1\/4, 3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(2\/7))**(6\/29))**(2\/37)*(u**(2\/7)*u)**(-3\/2)\/((u\/(u**3\/u))\/(u\/(u\/(u**(5\/6)*u)))) assuming u is positive.\nAnswer: u**(20567\/22533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -31103 + 10?\nAnswer: -31043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - t**2)*((1 - 2 + 0)*(2 + 0 - 4) - 6 + 3 + 0)*(-5 + 2 + 6 + (2 - 5 + 4)*(2 - 4 + 4)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/h**3)\/h**(-1\/2)*(h\/h**(-1))**(24\/7) assuming h is positive.\nAnswer: h**(89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of -s**7\/315 + s**6\/45 - s**5\/30 - 11*s**2 - 127*s. Factor b(u).\nAnswer: -2*u**2*(u - 3)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4803.44 rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together 24450629 and 0.155.\nAnswer: 24450629.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22\/7*i**2 - 120\/7 + 2\/7*i**3 - 16*i.\nAnswer: 2*(i - 15)*(i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (25 + 2)\/((-12)\/(-23892)). Round a to the nearest 100.\nAnswer: 53800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69543*g**2 + 50918*g**2 - 16329*g**2 + 73703*g**2.\nAnswer: 177835*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 906, 1640, 2878, 4632, 6914, 9736?\n\"Answer: 2*h**3 + 240*h**2 + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11662\/357)\/(3*2\/9).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 239244861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48 + -39. Suppose -x = -4*b + v, 3*b + v + 22 = -4*v. Suppose p + 1 + b = 0, -h + 236 = 3*p. What is the highest common divisor of 22 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i + 3. Suppose 5*c + 22 + 13 = n, -2*n - 34 = 3*c. Calculate the remainder when 38 is divided by t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -540 in 5, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06318414978 + -0.2358.\nAnswer: -0.17261585022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 24359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -27.6. What is the second smallest value in 1, 1\/5, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6591118 + 306.4625\nAnswer: 6591424.4625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 57106, 57095, 57086, 57085, 57098, 57131, 57190, 57281?\n\"Answer: f**3 - 5*f**2 - 3*f + 57113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d**2 + 9*d**2 + 6*d**2)*(3*d + 2 - 2).\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.139857 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12407*d - 2*d**3 + 12407*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -13*i**4\/12 - 2*i**2 - 7*i. Differentiate f(t) wrt t.\nAnswer: -26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 851, 1578, 2307, 3038, 3771, 4506?\n\"Answer: q**2 + 724*q + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148*g + 143*g - 6 = 2*w, 0 = -3*w - 3*g. Let d(h) be the first derivative of 1\/3*h**w - 4\/9*h - 1 - 2\/27*h**3. Find y, given that d(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*o = -20*o - 6. Let u = o - -3\/2. Sort u, 2\/45, -0.4.\nAnswer: -0.4, 2\/45, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -152 + -95\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 12*i**2 + 292*i + 3219. Determine a(-12).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.05  (b) 5  (c) -2\/111  (d) 36\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/5 or -1871?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 2*b**2 + 2*b. Let h(k) = 3*k**3 - 11*k**2 - 4*k - 5. Let c(y) = 4*g(y) + h(y). Suppose 0*m + 3*m = 0. Suppose -2*r + m*r - 8 = 0. Give c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 + 6*n + 9. Let o be a(-7). Suppose o*u + 10 = 18*u. Suppose -794 + 249 = -u*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*p**2 + 0*p**2 - 1 - p**2 + (3*p - 4*p - 2*p)*(65 - 65 + 2*p) to d*p**2 + k + t*p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18520?\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g - 6. Let j be l(5). Let u be 2\/13 + 300\/78 + -6. Is u + j - (-280 - 10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*w**2 + 108*w**2 - 53*w**2 - 7*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3442075 to the nearest integer?\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1130 and 20.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -5 - -3) + -1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -27*21\/1134 + ((-198)\/(-4) - -1). Let c be ((-6)\/15)\/((-1)\/5). What is the highest common divisor of k and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the first derivative of -w**3\/18 - 137*w**2\/12 - 68*w\/3 - 748. Find g such that c(g) = 0.\nAnswer: -136, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = 58*d - 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 203 + -101. Suppose 36 + m = 3*l. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 6*z = -z - 45, 0 = -i + 4*z - 16. Suppose 5*t - i*b + b = 220, 132 = 3*t + 5*b. What is the highest common factor of t and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 277.7689 to one decimal place.\nAnswer: 277.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1250011052 (base 6) to base 8.\nAnswer: 70464610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4896.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {w: 11, b: 2, o: 6}.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-435)\/(-29)*4*(-1)\/(-18)*-3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 2, 2\/21, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 36 + -19. Let d(t) = 8*t - 7. Let y(n) = 23*n - 20. Let i(f) = v*d(f) - 6*y(f). Let j be i(-2). Which is the closest to -1?  (a) -3\/5  (b) j  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -304*d**2 - 53*d + 2. Give u(2).\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6  (b) 1\/2  (c) -5  (d) -10.87  (e) -0.126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13125 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tqq when three letters picked without replacement from qqtgggqtttt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 22, 49, 80, 115?\n\"Answer: 2*c**2 + 21*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 2*a**2 - a + 2. Let g be t(-2). Suppose -4*o = -6*o + g. Let n = -3609 + 3612. Solve l = -o, w + 2*l - n = 4*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 80, 139, 162, 131, 28, -165, -466?\n\"Answer: -3*u**3 + 80*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 112 + -103. Let z = -8.9 - 1.1. Let x = z + g. What is the nearest to -1 in -3, x, -2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51467167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10788 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -525?  (a) 4  (b) -1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xaxqqxq. Give prob of sequence qxqq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.499  (b) 2\/23  (c) -1080.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2132120 + -11011000?\nAnswer: -13203120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 876525 and 62205.\nAnswer: 5655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 175745.3 - 58.\nAnswer: 175687.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 360 divided by -115837\nAnswer: -360\/115837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7753208 and 1069408?\nAnswer: 31012832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + (sqrt(252) - (-1 + sqrt(252))))*6)**2 + 2 - (2 + sqrt(448) + 1 + -4 + -3).\nAnswer: -8*sqrt(7) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/45)\/(19\/3 - (-38 - -43)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 42\/21 + 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gag when three letters picked without replacement from gagaag?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 2*s - 0*s, 0 = 4*r + 5*s - 6. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -26\/87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 4*u = 289, -3*u + 54 = p - 6*u. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/17, 161, -81, -9.53 in descending order.\nAnswer: 161, 1\/17, -9.53, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/(-6))\/(-2) + 4\/(-6). Let o(w) = -6*w**2 - w - 8. Let k(v) = -4*v**2 - v - 6. Let g(x) = -4*k(x) + 3*o(x). Determine g(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (90\/45)\/(24\/(-312))*(-8)\/(-2)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197397?\nAnswer: 3, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -6591\/70 bigger than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -841\/6  (b) -24  (c) 0.06  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 4*z = z + 2, -2*z = 5*p - 16. Suppose r + 3 = 0, -3*g + r = p*r. Suppose g*j = -2*l + 2*j - 1, 0 = l - 5*j + 6. Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g + 7 = 0, -10*w - 8*w + g + g + 2 = -16*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is 209628 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 15 = 3*n, 5*g - 5 = -n - 0*n. Suppose g = -3*i - i + 124. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6492170402 to the power of 1\/2, to the nearest integer?\nAnswer: 80574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**4 + 4*o**4 - 2*o**4 + (-o**2 - 3*o**2 + 2*o**2 + (4 - 1 - 2)*(8*o**2 + 20 - 20))*(-6*o + 6*o - 5*o**2) + (-3*o + 2*o - 2*o)*(4*o**3 + 2*o - 2*o).\nAnswer: -41*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24344 + 1301?\nAnswer: 31200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 870214033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 - 3*x**2 + 3*x - 3. What is z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x**4 - 85*x**3 - 155*x**2 - 75*x = 0. What is x?\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do -2 and -64\/59 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 8 = 4*f, -2*j + 7*j = -f + 47. Let x be -6*(-5)\/j - 30. Let n = -25 - x. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 702981675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -122, -72, 4, 100, 210, 328?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + 6*o + 2. Let m(w) = 5*w**2 + 3*w - 14. Let z(k) = -2*k**2 - 2*k + 5. Let i(a) = -3*m(a) - 8*z(a). Determine -6*i(y) + 7*r(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -83 + 7 + 57 + -52?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*r - 15 + 1. What is the third biggest value in r, 3, 2, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*v + 9 = -3*a, -3*a - 5 = -5*v + 2*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 5938*i - 338. Let g be p(1). Calculate the greatest common divisor of g and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 861091413 rounded to the nearest 100000?\nAnswer: 861100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*o**2 + 10*o**2 - 81*o**3 - 3153079*o + 3153079*o in the form c*o + a*o**3 + h*o**2 + z and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 21 = -m - 0*m, -5*m - 2*j = -13. Put 7, m, 6 in decreasing order.\nAnswer: 7, 6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.2 - 3280.7\nAnswer: -3279.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-6))\/((-18)\/2520*-25)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 39811 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -6*j + 13. Let l be f(3). Let k be -1 - (-3 + 7 + l). Suppose -3*o + 2*q - 8 = k, 4*o + 4 + 0 = q. Solve o = -s - 0 + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-5))\/(-2) - 209\/285. Sort w, 5, -1\/2, 3.\nAnswer: -1\/2, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 131145, 524664, 1180541, 2098764, 3279321, 4722200, 6427389, 8394876?\nAnswer: 10624649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7369500*f**4 - 478612900*f**3 + 10252645260*f**2 - 70043796108*f - 51395862232.\nAnswer: 4*(3*f + 2)*(85*f - 1859)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, r: 5, a: 3, h: 3, w: 2, s: 6}. Give prob of picking 2 s, 1 a, and 1 b.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -8*g**3 + 7*g**2 - 2*g. Let z(v) = -3*v**3 + 2*v**2 + v. Let m(u) = -h(u) + 3*z(u). Give m(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j - 421*j**2 + 19*j - 18*j + 101*j**2. Let s(f) = -36*f. What is t(s(y))?\nAnswer: -414720*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3643112 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 3*g**2 - g + 1. Calculate the remainder when 44\/10 - (-33)\/55 is divided by a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 22*l**2 + 27*l - 49. What is x(23)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-3 - ((-12 - 2) + (-1 - 0))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 161 and 35.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/4 and 91\/75622.\nAnswer: 151244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -43291975.9 rounded to the nearest one hundred thousand?\nAnswer: -43300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*m, 4*x - 2*m - 435 = -31. Let u = 3631 + -3624. Suppose x = u*z - 5*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12 * 0.332071.\nAnswer: 3.984852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 172 and 516?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1194 is divided by 139.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (164\/(-40))\/1 - (9 + -23 + (11 - 1))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rdvqrqvfqvqvvqvqdw. What is prob of picking 1 d and 2 v?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3612 divided by 6\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c + 0 + 0)*(-2 + 0 + 3)*(-13*c - 52 + 52).\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 159 and 277914351.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 2. Let g be (-37)\/3 - 16\/24. Let f = -153\/13 - g. Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -3*n - 3, -n = -p + 92 - 83 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, p: 3}. Give prob of sequence papp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**3 - j**2 + j + 2 - 78234*j**4 - 4*j**2 + 78668*j**4 in the form r + z*j**3 + d*j**2 + u*j**4 + s*j and give u.\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 5:28 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*y - 16*y - 560. Calculate the remainder when y is divided by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**3 - 50*w**2 - 140*w - 120.\nAnswer: -5*(w + 2)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of -x**4\/24 - 35*x**3\/6 + 6*x**2 - 22*x. What is i(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 85 + -1. Calculate the lowest common multiple of (5 - 84\/16)*-32 and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 134378410 divided by 1\nAnswer: 134378410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11162292 and 9.\nAnswer: 33486876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*(-23 - (-2160)\/112) + -45.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1052040012*3\/(-60) + 6\/10. What is c rounded to the nearest one million?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/(sqrt(162)\/sqrt(3)) + 3.\nAnswer: sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + 1. What is x(-11)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -0*m - 75. Suppose 4*q - m = -q. What is the second derivative of g**5 + g - q*g**5 + g wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-100)\/1750 - (-31968)\/840.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of h**5\/2 + h**4\/12 - h**3\/6 - h**2\/2 + 27*h. Let a(m) = m**2 + m + 3. What is the lowest common multiple of a(-3) and j(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 167 * 0.01.\nAnswer: 1.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 2 - (-6 + -2 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 100 and 53503180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 518123 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9\/2 - 21\/4*y - y**2.\nAnswer: -(y + 6)*(4*y - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -5\/46 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Expand (0*f**3 + 6*f**3 - f**3)*(-1 + 0 - 1) + (3*f + f**3 - 3*f)*(0 - 2 - 2).\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 2, i: 2, x: 1, o: 2, v: 1, d: 7}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 25301028.\nAnswer: 1\/6325257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 3*i**3 + 16*i**2 - 4*i - 5. Let r(q) = -q**3 + 3*q**2 + q - 1. Give -g(d) + 5*r(d).\nAnswer: -8*d**3 - d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1001210 - -11210?\nAnswer: 1020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of v**3\/3 + 9. Suppose 0 = 2*n - 1144 + 1144. Let x be i(n). Is -2\/7 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47 - 30. Let z = -11 + c. Let f(v) = 8*v**3 + 6*v**2 - 4*v - 6. Let m(u) = -u**3 - u**2 + u + 1. What is z*m(g) + f(g)?\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -4*f + 27 + 44, f - 39 = -4*k. Let t = -661 + 391. Let u be (t\/150)\/(1*(-2)\/20). Which is bigger: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) 99  (b) -0.04  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83898, 167294, 250690, 334086, 417482, 500878?\nAnswer: 584274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 638 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/105 and 81\/119168?\nAnswer: 1787520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -w**4\/5 + 404*w**3\/15 + 434*w**2 + 2220*w + 3554. Factor n(x).\nAnswer: -4*(x - 111)*(x + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1600350, 1600250, 1600150?\nAnswer: 1600050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -4*j + 476, -5*c + 75 - 539 = -4*j. What is the common denominator of j\/10 - 6\/(-15) and (-387)\/60 + (-3)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 14) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -9*s - 3. Suppose -5*i = -8*b + 3*b - 155, 4*b = -3*i + 65. What is the remainder when i is divided by o(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 18 = -m. What is the remainder when 4\/(2 + 2)*m is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 9 + c - 2*c - c - c + 4*c. What is n(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24 - -19) + (1713\/9 - (-2)\/3). Calculate the greatest common divisor of c and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 56*z + 65. Let r(w) = -36*w - 43. Give 5*b(s) + 8*r(s).\nAnswer: -8*s - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2874465 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1003, 2010, 3019, 4030, 5043?\nAnswer: 6058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (6 + -5 - (2 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 1000?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*l + 4*z - 0*z, -2*l + 3*z + 2 = 0. Let x be (1*l)\/(-9 - (-2 + -5)). Let s = -2 + -1. Which is bigger: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 61 + 0.065966.\nAnswer: 61.065966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*t + 884 = 87*t. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 minutes after 5:41 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4168823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19.58959 + 19.66. What is f rounded to 3 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -0.016\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*v**2 + 55*v**2 + 0*v**3 - v**3 + 2*v**3 to the form t*v**2 + c*v + l*v**3 + k and give t.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/6)\/u)\/(u*u*u*u**0)*(u**(3\/4)*u)\/u**(-3) assuming u is positive.\nAnswer: u**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4*(sqrt(1200) - (-5 + (sqrt(1200) + -1 + sqrt(1200) - sqrt(1200) - sqrt(1200)) + sqrt(1200)))**2*-6 + 0).\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from alkffkkkakkllka.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 4 = j. Let p be (j\/20)\/((-2)\/(-6)). What is the closest to 1 in -2\/5, p, -3\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.586 + -1.586. Which is the fourth smallest value?  (a) 3  (b) g  (c) -1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10008295 a multiple of 3215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 244954\/3*81\/9. Let u = p + -314862. Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -r + 3*c, 2*c - 424111 = -2*r - 424137 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -294, -287, -278, -267, -254?\n\"Answer: u**2 + 4*u - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 0 + -2 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 6.714964 decades?\nAnswer: 0.06714964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -259, -515, -761, -991, -1199, -1379, -1525?\nAnswer: -1631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/2, -4\/3, 2509?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1*0.5646\nAnswer: 0.5646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bdqcejc. Give prob of sequence ce.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121 = -7*p + 723. Suppose p + 102 = 2*u. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -106*g**3 + 3. Let v be z(-2). What is the greatest common factor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8351 divided by -46\nAnswer: -8351\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**3 - 3160*c**2 + 6335*c - 3170.\nAnswer: -5*(c - 1)**2*(c + 634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/20*0)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 682662, 682892, 683122?\nAnswer: 683352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/7 + 268940512*z\/7 + 18082249748705536\/7.\nAnswer: (z + 134470256)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7921986529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 250847418 by -6.\nAnswer: -41807903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.9 - -56.\nAnswer: 53.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4\/1*(-3 + (-9030)\/(-56))?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 3 + 5)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 187*u**2 - 1006*u - 714. Calculate o(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/632?  (a) 27  (b) -5  (c) 1\/162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18934211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 23\/38889433 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -771910 divided by 3?\nAnswer: -771910\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -83, -135, -169, -179, -159, -103, -5?\n\"Answer: g**3 + 3*g**2 - 68*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8402, -8356, -8310, -8264?\nAnswer: -8218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -468 + 431. Is d >= -192\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 917476 is divided by 706?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.5 + -4. Suppose -3*k - 8 = -2*s, -4*s + k = -0*s - 16. What is the closest to -0.1 in s, 2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 278, 980, 2252, 4202, 6938?\nAnswer: 10568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 9:07 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -9. Suppose -a*h - 12 + 48 = 0. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-59)\/(-5) - 3\/(-15). Let d be (c\/(-8))\/((-63)\/(-24)). What is the third smallest value in -3\/2, d, 0.3, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*r + 163*r = 2*q - 24, -158 = -11*q - 2*r for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + x, 16 = 4*u + x + x. Let k(f) = 148*f**2 - 74*f**2 - 76*f**u. Let b(m) = 44*m**2. What is k(b(p))?\nAnswer: -3872*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 14 + 4 + 1 + -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + r**2 + 5*r - 18. Determine z(4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 276 and 162012.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.22 minus -3980?\nAnswer: 3979.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -5*t. Suppose t = -u - 5*u + 120. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/6 + 845\/3. Let p = -210 + 243. Is 28 a factor of g\/2 + p\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (68\/153)\/(-3*(-20)\/54)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**2 + 14*o + 20. What is the units digit of d(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*j + 40 = 898. Let k = j - 57. Let x be (-39 - 3\/1)*(-1800)\/k. What is x rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 133 - 77. Let j = 56.000000293 - c. What is j rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 2*a = 3*t + 30, 0 = 2*t - 3*a + 25. Let p = -8 - t. Let h(i) = -i + 4. Determine h(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0731525*-0.9.\nAnswer: -0.06583725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)*2 + sqrt(228) - sqrt(228))*4 + sqrt(228))\/(sqrt(1200)*-3 + sqrt(12)).\nAnswer: -9*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s**3 + s**2 - 2*s + 1. Let r be u(1). Are -5\/11 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -9*(-1 - -5)\/(-4). Let a be -2 - (-3 + -22*8\/4). Let k = a + -42. What is the greatest common factor of q and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 12:44 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48eb (base 15) to base 8.\nAnswer: 36241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 3001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 698461.65 nanoseconds?\nAnswer: 0.000000008084046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 79 - -50. Suppose -n - o = -5*n + y, -3*y - 35 = -n. What is the greatest common factor of 32 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 24*q + 45. Let l be w(-2). Suppose -3*y + 10 = 4*t, 0*y + 3*t - 24 = -5*y. Put -4, y, l in decreasing order.\nAnswer: y, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 9*z**3 + 2*z**2 + 2*z - 4. Let s(j) = 26*j**3 + 6*j**2 + 6*j - 11. Determine 4*s(x) - 11*y(x).\nAnswer: 5*x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(99)\/((sqrt(72) - -2*sqrt(72))\/sqrt(8)))**2 - ((2*sqrt(121) + sqrt(121))*2 + sqrt(121))\/(-1*sqrt(396)).\nAnswer: 7*sqrt(11)\/6 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 111143574 and 12.\nAnswer: 222287148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 158 and 120?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9 + -20 - (-20 - -2) - -2333. What is the greatest common factor of l and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*n + 349*n**3 - 10*n**2 + 0*n - 2*n + 3 + 12*n + 9*n**2 in the form x*n**3 + j*n**2 + q*n + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 + 2*q + 3. Let s(y) = -3*y**2 - y - 5 + 8*y + 4*y**2 + 0*y**2. Let g be s(-7). What is the units digit of c(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a millennium in decades?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, 38 in decreasing order.\nAnswer: 38, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -404*o = -232*o + 2924 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*y**2 - 36*y**2 + 111*y**2 - 26*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 94198, 94265, 94332, 94399, 94466?\n\"Answer: 67*m + 94131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.4 - 4. Let r = s - -0.6. Let l = -2 + 2.1. Is r less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 495 = -0*f. Suppose -5*u + 0*s + 165 = s, -3*u + f = s. Find the third derivative of 1115*n**3 - 33*n**2 - u*n**6 - 1115*n**3 wrt n.\nAnswer: -3960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2529*s + 62971 with respect to s.\nAnswer: 2529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0351694 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) 0.1  (c) 4  (d) -7\/2  (e) 1\/3  (f) -7\/74  (g) -1\/14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 23919 and -4887?\nAnswer: -116892153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t + 0*t + 256 - 261 to the form w*t + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 48 = 4*s, 3*s + 57 = 3*v - 30. Let h = -16 + v. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 9:06 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of -b**5\/60 + 23*b**3\/3 + 20. Let f(k) be the third derivative of v(k). Let g(c) = -c. What is g(f(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 42 = -4*l, 0 = o + 8*l - 13*l. Let h = 22 + -7. Suppose -h*y + 10*y + o = 0. Solve -i = -2*i - 2*p - 1, -4 = i + y*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 3*w - 3572, -36*u - w = -40*u + 3588. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.04 - -4.96. Let n = 0.1 + 0.4. Let s = n - 0.6. What is the third biggest value in r, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f + 8. Let d be g(-4). Suppose 9*l - 10 = d*l. Factor 0*j - 1\/4*j**3 + 0 + 1\/4*j**l.\nAnswer: -j**2*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*g - 56*g + 3*v - 54 = 0, 4*g - 131 = -30*v + 513 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -144056326429 - -4?\nAnswer: -144056326425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*c + 439*c + 145*c)*(0 + 4 - 3)*(-2 + 2 + 2*c**2).\nAnswer: 1196*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {x: 4, i: 2, k: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 730399762 to the nearest integer?\nAnswer: 27026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - 1 + 1)*(2*p - p + 0*p) + 117*p**2 + 427 - 427 - 8*p**2 - p**2 - 4*p**2.\nAnswer: 102*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**2. Let a(y) = -137*y**2. What is w(a(j))?\nAnswer: 37538*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 9233400 divided by 1846680\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - 3 - -9 - (-9 + 0) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1319634*f**2*p**4 + 12*f**2*p - 38208*f*p**2 wrt p?\nAnswer: 31671216*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8685 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-2) + (-77)\/(-22). Suppose 5*q + j - 9 = b, -2*b = -8. Suppose 3*i = 3, v - 9 = -4*i - q. Solve -v*g = -g + r - 2, 2*r + 23 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i**3 + 19 + 2*i**3 + 1 + 8*i**3 to the form x*i + t*i**3 + v*i**2 + o and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.06 and 23029?\nAnswer: 23028.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 - 46*s**2 + 68*s + 943. Determine n(-47).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130 = -39*v - 377 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/13 - (20 + (-2143)\/13). Calculate the highest common factor of l and 6264.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 272.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5808 divided by -353?\nAnswer: 5808\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22.9 - -26. Let r = -6.6 + 3.4. Let g = r + w. Which is the closest to -1?  (a) g  (b) 3  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04809391 to five decimal places.\nAnswer: -0.04809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7971*o**3 - 10*o**2 + 2484.\nAnswer: 47826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 3*o**2 + 21*o + 21. Calculate the smallest common multiple of 13 and i(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18478 at least as big as 18477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*z + 86*z + 52*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 151\/11?  (a) -0.4  (b) -0.1  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 2 + -1 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 11:53 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 4*x - 127, -52*h + 3*x + 102 = -48*h. What is the common denominator of h and -61\/302?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(24)\/sqrt(2) + -3 + (sqrt(15)\/(sqrt(450)\/sqrt(10)) + 2)**2.\nAnswer: -14*sqrt(3)\/3 + 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(44)*6 + -3 + -4.\nAnswer: -7 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 515165?\nAnswer: 5, 7, 41, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.06 + -4.06. What is the nearest to -0.1 in 0.2, -3, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5*j**3 - 3*j**2 + 5*j - 8. Let y be x(2). Is ((-20)\/25)\/(2\/5) - y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 742*x**2 + 5895 wrt x?\nAnswer: 1484*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -1.8  (c) 63  (d) -2\/23  (e) 0.5  (f) 214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -9*i - 11. Let d(x) = -28*x - 31. Determine 6*d(a) - 17*t(a).\nAnswer: -15*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2326, 9289, 20898, 37153, 58054?\nAnswer: 83601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 680437 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20 + l**4 - 2*l**3 + 18 + 0*l**3 + 7*l**2 - 9*l**4 to o*l**4 + t*l**3 + s*l**2 + z + a*l and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -20*(-6)\/(-1 + 3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of h**5 - 2751*h**4 - h + 75.\nAnswer: 20*h**3 - 33012*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5944, 5943, 5942, 5941, 5940, 5939?\nAnswer: 5938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 138*m - 207*m - 342*m + 647 - 698 to r + t*m and give r.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 144.497 centuries in years?\nAnswer: 14449.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 365305*r - 288 = 365269*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = q + 118 + 122, -q + 6*q = 5*u - 300 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/5 - (-30)\/(-50). Suppose r = 2*q + 4*b, -b = 3*q - 4*b - 45. Let y = -7 + q. Solve y*z + 3*w - 8 = 5*w, 2*z + w + 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -2052*a**3 + a**2 + 299*a - 298. Give l(1).\nAnswer: -2050","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/9 - 4\/(-18). Let i be (-21)\/(735\/2)*7. What is the closest to i in 2\/9, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211012 + -10?\nAnswer: -211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -y + 49604*t - 49609*t - 19, y - 17 = 4*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*f**2 - f**2 + 19*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 13 + 1 + -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h**2. Let u be 2\/((-16)\/9 - -2). Let k be ((-2)\/(-1))\/(-1 - 0). Let i(o) = o**3 + 3*o**2 + o**3 + 6*o**2 - 3*o**3. What is k*i(r) + u*g(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 719976357 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -5 + 2 - 4 + g**2. Let b be 4\/(-10) - 108\/(-20). 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 comes next: -33, -35, -37, -39?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*d + d + 3*d - 2)*(-5 - 3*d**2 + 5).\nAnswer: 6*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 10*t**2 + 3*t - 3. Suppose -4*j + 76 = 16. What is the remainder when z(2) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 12:29 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*k + 313 - 313.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 72314305923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 105*z**3 - 8*z**2 - z - 2. Does 70 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of -i**7\/210 + 11*i**4\/24 + 11*i**2. What is the second derivative of b(m) wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 838609\/9408 - 4392\/49. Find the common denominator of 85\/48 and u.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 0, -2, 1, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*3*(sqrt(204) - (-4*(sqrt(204)*3 + sqrt(204)) + sqrt(204) + sqrt(204)))\/sqrt(12))**2*-1.\nAnswer: -550800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3381793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 6:04 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 2 + (-2 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in -0.4, 30, 1374?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**0)**(-37)*p**5*(p\/(p\/((p\/((p*p**(2\/11))\/p))\/p)))\/p*p)**(-7) assuming p is positive.\nAnswer: p**(2478\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3524366 and 516.\nAnswer: 21146196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4600 + -4513.04. Let u = a + 0.04. Let r = -89.02 + u. What is r rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from yuuuuubuuuuyuu?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 2*d - 4*g, 26 = -2*g + 12. What is the remainder when 1343 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 5:00 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 80, -0.3, 0.3, -72, 164, 2, -3 in descending order.\nAnswer: 164, 80, 2, 0.3, -0.3, -3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 AM and 7:35 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {t: 1, p: 5, s: 2, v: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 7:21 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-11)*(i*(i**(2\/5)\/i)\/i)\/i*(i\/i**(1\/7))**(-12) assuming i is positive.\nAnswer: i**(-801\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29874.\nAnswer: 2, 3, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 88*n - 67 - 37 = 28*n, -16 = 5*x + 2*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 433 = -113. Let n be -67*(5\/(-3) + 14\/21). Let o = n - b. Solve j - o*j + 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5207435*f**2*w - 214*f*w - 3*f - 2*w + 154 wrt f?\nAnswer: 10414870*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2 - 2 - 7*i - 1. Let s(m) = -20 + 5 + 13*m + 6 + 11. Let q(o) = 4*s(o) + 7*z(o). Find the first derivative of q(j) wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -3*q**5\/5 - 2613*q**4 - 14296221*q**3\/5 - 31237731*q**2 - 552543768*q\/5 - 127374768 = 0?\nAnswer: -2172, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -189 - -189. Let w(y) = y + 247. List the prime factors of w(h).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9705 is divided by 4627.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 4 = u + 3, -2*l = -u - 3. Suppose -13*s + 732 = -7*s. Suppose 113*n - s*n = -45. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 c, 1 l, and 1 x when four letters picked without replacement from ctcccxxl.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14263, 14280, 14297?\nAnswer: 14314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**5\/7 - 320*l**4\/7 - 10240*l**3\/7 - 163840*l**2\/7 - 1310720*l\/7 - 4194304\/7.\nAnswer: -4*(l + 16)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 + 616*w - 12645. Calculate q(21).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - (15 - 11)) + 4 + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 6*i - 7. Let x be (-8)\/6 + (-3 - 251\/3). Let y = x + 95. Give t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*y - 8. What is the tens digit of ((-22)\/(-2))\/(-1 + y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12.2 - 2.2. Let t = 22.1 + -22.5. Which is the second smallest value?  (a) 3  (b) t  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3*t - 21 = 0, -2*r - 5*t + 20 + 15 = 0. Solve r = -5*p + 4*g, -5*g + 41 = 17*p - 13*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 AM and 12:39 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 8 = 4*v, 4*d + 20 = v + 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10931 - -10994. Calculate the remainder when 1202 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 566*y + 29223 + 23679 - 13282 = 0 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 115 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.33279977151 minus 0.01?\nAnswer: -0.34279977151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) -2  (c) -5  (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s**3 - 552918*s**2 - 368616*s = 0 for s.\nAnswer: -2\/3, 0, 61436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, i: 1, r: 2, s: 1}. What is prob of picking 1 s and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2730149.\nAnswer: 17, 41, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 - 7*z**2 + 2*z. Let g be p(-7). Let j = g - -25. Let x be 2\/(-7) - 695\/(-7). What is the greatest common factor of j and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*z, 0*d - 2*d - 20 = 2*z. Let g(o) be the third derivative of -o**5\/60 - o**4\/6 - 3*o**2. Calculate g(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 410 = -2*j. Is 38 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2905.18895 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10266158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-246519)\/1204)\/((-42)\/(-24)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*c - 1 = -15, -3*c = 5*p + 34. Put p, 25, 5 in increasing order.\nAnswer: p, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161497 is divided by 6208?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -4*q + 112, -40 = 3*q + 2*s - 124. Calculate the highest common factor of q and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1354 + 2739. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -5 - (-34 + 39)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 4*h - 9. What is v(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*n + 141 = -99. Put 7, -24, n in descending order.\nAnswer: 7, n, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5219*l**5*s + l**5 - 4*l*s + 14917*l - 1 wrt l.\nAnswer: -104380*l**3*s + 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 238, 2144, 5712, 10942, 17834, 26388?\n\"Answer: 831*d**2 - 587*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-10))\/((-1)\/10). Let q(p) = -p**3 - 4*p**2 + 4*p - 3. Let o be q(-5). Solve -w*n = -o*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*v**3 + v + 46503*v**2 + 0*v - 46317*v**2 as z*v + s*v**3 + m + h*v**2 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 256213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**5*u*u*u**(-5\/3)*((u*u**1\/u)\/u)**(-10\/9) assuming u is positive.\nAnswer: u**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -337*f*s**3 + f*s - 28556*f - 2*s**3 + s**2 + 6817369 wrt f?\nAnswer: -337*s**3 + s - 28556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 211999904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5342.131 centimeters to kilometers.\nAnswer: 0.05342131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ydyktydkdd. What is prob of picking 1 t and 1 k?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -5*g - 59. Let d be b(4). Suppose 0 = -8*s + 3*s + 35. What is the hundreds digit of (s + 3 + -6)\/((-2)\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 305588 + -305580.00015. Let j = 8 - o. Round j to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*o**2 + 851*o + 835*o - 1684*o - 4*o**2 - 195 - 9 in the form l + w*o**2 + n*o and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.43 times -500?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 447465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -391*a**3 + 119*a - 119. Let g(n) = -n**3 + n**2 - 1. Let q(s) = -12*s**3 - s**2 + 4*s - 3. Let x(b) = g(b) + q(b). What is 119*x(d) - 4*y(d)?\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 86 and 1278.\nAnswer: 54954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*n + 4*n + 6*n - 3 + (-4*n + 4*n + 2*n)*(-4 + 4 + 2) - 2*n + 2*n + 3*n.\nAnswer: 12*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -4*2*(3 - 2). Let y be (2 - 2)*4\/h. Which is the closest to 0.1?  (a) y  (b) 1  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5296 is divided by 799.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -86 (base 13) in base 12?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010 + -10000010101001010111001?\nAnswer: -10000010101001011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, -120, -0.2?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/34 and -47\/16216?\nAnswer: 275672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 + 1)*(-12)\/(-9). Let c(p) = 2*p**3 - 6*p**2 - 16*p - 4. Let x be c(-5). Let n be 3*9\/x*3. What is the nearest to n in 5, -0.07, f?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.77486866 rounded to 3 decimal places?\nAnswer: 3.775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 98 + 7?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 141174511 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(2\/(-1)))\/((-10)\/(-2))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 485333063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 29607*r + 1. What is o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -0.6?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + 63\/15 + 2\/(-10). Solve l - 3*y = -7 + 20, a = 4*l - 2*y - 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 304010022 (base 6) to base 12.\nAnswer: 1900912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3724 and 8588?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + 1)) + 0 - (sqrt(16)\/sqrt(4))\/sqrt(2).\nAnswer: -sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -3*o - 0. Suppose -4*h + 5*r = -7*h + o, h + r - 5 = 0. Suppose 2*u - 2*g - 72 = 2*g, 3*g = h. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30045639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 26407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2215128552?\nAnswer: 2, 3, 7, 13, 107, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5 + 5 = 5*t, 11 = 3*q + 2*t. Let y(s) = s**2 - 2*s - 5. Let p be y(q). What is the units digit of (-4)\/p - (-12)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -875*n = -871*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010101100110 + 110?\nAnswer: 11010101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -145 + 149 + 0 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -12 + 3*g**3 + 12 + 6*g + 6*g**2 + 2. Let m(l) = 7*l**3 + 13*l**2 + 12*l + 5. Let x(j) = -9*b(j) + 4*m(j). Give x(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 2*u + 6 + 10, 5*u = 2*k - 32. Which is the fifth biggest value?  (a) 0  (b) 2  (c) k  (d) -1\/17  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -394 and -3.\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 695.401l in millilitres?\nAnswer: 695401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/593559 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*c**3 - c**2 - 9*c**4 - 3 - 2*c**3 + 8*c**4 - c**3 in the form m*c**3 + y*c + t*c**4 + v*c**2 + q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -14469 + -0.3206\nAnswer: -14469.3206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 141 + -138. Let o(q) be the first derivative of 2\/3*q**l + 5\/2*q**2 - 2 + 0*q. Find the second derivative of o(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2777 divided by -50704.\nAnswer: -2777\/50704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 7*k + 3. Suppose 90 = -40*y + 5*y - 85. Determine z(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, -2\/7, 3\/32, 29, 4?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 157*m**2 + 3026681*m - 1 - 3026681*m to s*m + t*m**2 + y and give t.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 4)*((-2*z + 4*z + 0*z)*(-2 - 3 + 7) - 62 + 62 + 9*z).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - (-6020016 - 4)\/5. Let q be o\/28 - (-8)\/(-28). What is q rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = h + 259, 5*j - 6*h + 2*h + 667 = 0. Let x = -76 - j. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -122c882 + -2?\nAnswer: -122c884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12304 - -86370\/7. Factor h*n - 44\/7*n**2 + 0 + 2\/7*n**3.\nAnswer: 2*n*(n - 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76538 (base 10) to base 13.\nAnswer: 28ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 157401 - -5?\nAnswer: 157406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 282084945, 564169891, 846254837?\n\"Answer: 282084946*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4 - 7 - (-2 + 318\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 561 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96669899*f + 2*f**3 + 1 + 96669918*f - 1.\nAnswer: 2*f**3 + 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -246*c + 520*c - 223*c = -153 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 1\/10*w**5 + 19\/10*w**3 + 2\/5 + 5\/2*w**2 + 7\/10*w**4 + 8\/5*w = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - 5\/(5\/(-3)). Suppose l = 1 + z. Let k be 0\/(0 + l) + 3. Are k and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -68 + 98. Suppose -7*x - 12 = z. Let k(n) = -12*n - 20. List the prime factors of k(x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.05 and 4474.5?\nAnswer: -223.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + -11. Let r be 5 + (-2 - (-1 - a)). What is the third derivative of r*j**4 + 11*j**2 + 3*j**4 + 503*j - 503*j wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 4:44 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3920 (base 12) to base 14\nAnswer: -2528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**2 + 8*d - 9. Let o be p(5). Suppose -3*r + 171 = -5*f, -o*r - 2*f + 285 = -r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2520 and 134163720?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4380367 (base 9) in base 10?\nAnswer: 2355703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 - 33*s**2 - 251*s + 70. Let l be p(-21). Solve 0 = 36*i - l*i + 65 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 5*f + 21 = -10*f, 3*m = 3*f + 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1426205?\nAnswer: 5, 11, 25931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 141725 to the nearest one hundred.\nAnswer: 141700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-527*62\/(-8432))\/(5\/(-40)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -747 + 746 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 265423305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3*f + 15 = 0, 4*z + f + 0*f - 47 = 0. Let j = z - 3. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2 = -d. Suppose n + d = 6. What is the smallest common multiple of n and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26680*a + 26149*a - 3 + 2)*(-3*a + 4*a + a).\nAnswer: -1062*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 + -3 + (0 - -1). Let r be (690\/45)\/(o\/6). Let m = r + -1. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -28*f + 26*f. Differentiate f - 10*k**3 + 3 + 2*k + 27 wrt k.\nAnswer: -30*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/80 and -13\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5*w = 4*d + 10, 3*d - 10 = 5*w. Suppose d = 2*a - 2*g - 52, 6*g - 9*g - 130 = -5*a. Calculate the remainder when 43 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -227.03 + 228. Let s = -2.24 + d. Round s to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 442 = 2*i, i + 5*u + 2031 = 1804. Which is bigger: i or -215?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000000459 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*g + 7 = 7*g - 9*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 2 - 8 - 3 + 2*i + 3*i**2. Let u(t) = -t**2 - t + 4. Let g(w) = -2*d(w) - 5*u(w). Determine k, given that g(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9041.624 millennia in centuries?\nAnswer: 90416.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 21*g**2 + 2*g + 43. Let i be v(-21). Let d be (-4*33\/48)\/(i\/12). What are the prime factors of d\/55 + 3\/(30\/1136)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 25*k**4\/2 - 13785*k**3 + 7584485*k**2\/2 + 4567800*k + 761760 = 0.\nAnswer: -1, -1\/5, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 170\/53 or 4?\nAnswer: 170\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-2)*((-870)\/35 - -25). Sort -0.079, -7, g, -2.\nAnswer: -7, -2, -0.079, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 42 = 2*d. Let f = 9 - d. What is the biggest value in f, 3\/11, -3\/5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -957*x = 660*x + 368*x - 58058 - 41192 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 7*o**2 - 6*o + 1. Let x(a) = 0 - 4*a**2 - 3*a**2 + 1. Let u be x(-1). Let c be b(u). Are c and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -11. Suppose y*f + 39 = f. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -f**4\/4 + 5*f**3\/3 + 7*f**2 - 19*f + 289. Calculate the remainder when g(5) is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/3*16\/(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 92892132 to the power of 1\/2, to the nearest integer?\nAnswer: 9638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -109 + 114. Suppose -i + 22 = 2*l, -3*l = i - m*l - 38. What is the smallest common multiple of 15 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 6*w**2 + 6*w - 1. Calculate t(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -56 + 27*b**3 - b**4 - 18*b**3 - 10*b**3 + (-2*b**2 + 2*b - 2*b)*(-2*b**2 - 3*b**2 + 3*b**2).\nAnswer: 3*b**4 - b**3 - 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 11:57 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20933234\/1399 + -14963. Let a = -57347\/5596 + l. Let c = 30931\/9 - 3443. What is the common denominator of a and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.93035 and 0.03.\nAnswer: -0.1179105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 5, g: 2, b: 7, z: 1, a: 3, e: 2}. What is prob of picking 1 a, 2 e, and 1 c?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -32. Let j(y) be the second derivative of -y**4\/12 + 5*y**3\/3 - 5*y**2\/2 - 4*y. Let o be j(9). Solve 0 = o*x + x + u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -69 + 97*h**3 + 1343 + 80 + 1309*h**3 with respect to h.\nAnswer: 4218*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 > 175491\/20975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3 = 1, -4*b = 2*o - 12. What is the remainder when o is divided by (5\/3 + -2)*-18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10464569 is divided by 158554.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/15*51)\/(2\/20). Suppose -135*b + l*b - 4 = 0. What is the least common multiple of b and 114?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.288397ml in litres?\nAnswer: 0.002288397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*d = 13*d + p + 8, 0 = -4*d + p + 2*p + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from vpvcppcppppcpcg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.34 times 3?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11 - -158.13.\nAnswer: 169.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 9\/(-12))*(-12)\/(-1). Suppose k + c*d - 31 = 0, -8 = -4*d + 2*d. Suppose -k*i - 35*i - 5*i**2 + 24*i - 245 - 40*i = 0. Calculate i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 j when three letters picked without replacement from {x: 3, j: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-3))\/((-34)\/51).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.329, -1217, -0.1 in ascending order.\nAnswer: -1217, -0.1, 0.329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-3*sqrt(2880) + 2 + 2 + sqrt(2420))**2.\nAnswer: 1904*sqrt(5) + 283236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 288.1845ms?\nAnswer: 288184.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 4*d = -18, v = -v - d - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-515)\/309)\/((-22)\/33*-2*(-10)\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*i**2*j*v**4 + 57*i**2*j*v**2 + 6*i**2*v**2 - 110*i*j*v**4 - i*j*v**2 wrt v.\nAnswer: -144*i**2*j*v - 2640*i*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 182 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 74491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 148 and 62.\nAnswer: 4588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -1030842.9 to the nearest 100.\nAnswer: -1030800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (163*o - 6*o + 10 - 69*o)*(-2*o + 0*o + 4*o).\nAnswer: 176*o**2 + 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14564*k = 13678*k - 54932 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 4 = -26. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 444203330 (base 5) to base 13\nAnswer: 530c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 373345522 is divided by 3348?\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.466 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8447741 (base 9) to base 4.\nAnswer: -101033123323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*j - j - 8*j + 15*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000145 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 109186722 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190 = -52*b + 33*b. What is the highest common factor of 85 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u + 1. Let y(j) = -5*j + 2 - 7*j + 9*j - 6. Give -5*g(k) - y(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5740, -5738, -5738, -5740, -5744?\nAnswer: -5750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2864654 is divided by 1827.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 3\/4  (b) 2\/7  (c) -144  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -2*w - 3*j + 6, -2*j = -4. Let c(u) be the third derivative of u**5\/60 + u**4\/24 + u**3\/3 - u**2. Let o be c(0). Solve w = 3*d - o + 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13003202132033 + 2?\nAnswer: -13003202132031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2349*z**2 - 648*z - 28.\nAnswer: -(9*z + 2)*(261*z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.37195 litres in millilitres?\nAnswer: 39371.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of -g**6\/60 - g**5\/20 + 2*g**2. Let z be a(-2). Let s = -8 + 27. Solve 4*x + 3*u = s - z, 14 = 4*x + 2*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -203 - -202. Which is bigger: 5\/18 or q?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8322, 16644, 24966, 33288?\n\"Answer: 8322*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4*w**2 - w - 2. Let f be (5\/((-15)\/18))\/(-2). What is the remainder when r(f) is divided by -1 + 4 - 3 - -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-19))**(1\/22)*(m**(-42)\/m)\/m**(-4\/9) assuming m is positive.\nAnswer: m**(-8597\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 59 + 661. Suppose 0 = -8*x - 176 + j. Suppose 364 - x = 4*v. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22201 = -1581*v + 38682 + 140038 for v.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c**(-3\/2))\/c)\/c)\/c**(-6))**(4\/31) assuming c is positive.\nAnswer: c**(14\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 + 5269*a - 36936. Calculate o(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 10:02 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*(-3)\/27*(-12)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 10867*n - 21743. Give p(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -2*b**3\/11 - 19742*b**2\/11 + 1189920*b\/11 - 17875800\/11 = 0.\nAnswer: -9931, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3986857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 66*q - 5. Let h be o(4). Let r be 1 - (5\/8 + 9\/24). Let c be -37*(-1 - r\/(-7)). What is the greatest common divisor of c and h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*t + 0 + 0)*(0 - 15 + 0)*(3*t**3 + 0*t**3 - t**3) in the form j*t**3 + q*t**2 + z + y*t**4 + k*t and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-100)\/(-18) - -2 - (-76)\/171 - -23?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 0.2  (c) -2\/31  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1793 in 4, 0, -0.1, 3, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*y - 78 = -15 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 73 + 27 + -7 + -35 + 1.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of 5*a**4\/2 - a**3\/3 - a**2 - a + 56. Suppose -2*u = 1 + 15. Let z(i) = -i - 9. Let s be z(u). Calculate g(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -151 - -16?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 83.763 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -8 * -0.44\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30651.\nAnswer: 3, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 57564*t**6 + 211*t**2 + 2*t + 59 wrt t?\nAnswer: 6907680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 4*u - 162 - 466, t = -3*u + 479. Calculate the remainder when u is divided by ((-10)\/10)\/(4\/12) - -21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + c = 569, 2*q - 279 = -0*q + 5*c. Suppose 5*a - 3*y + 7 = 146, -4*a + 112 = -2*y. Calculate the remainder when q is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-16)\/(-60)*3)\/(3\/15). Suppose 4*s = -o*s + 47120. What is s rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b + 8*b + q + 24632 = 0, 2*q + 8214 = b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 + 3 + 7*f + f + 2*f**2 - 4*f. Let h be s(-5). Suppose 4*d - 32 = -h. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -7*s - 430. Let v be c(-62). Solve 8 = f + v*u, -5 + 13 = 4*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 4*d**2 - 3*d - 4. Determine x(6).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 179\/7920 and 22794\/47520 + (4 - (-54)\/(-12))?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 30*j**2 - 3*j + 3. Let q be k(-5). Let l = 37041 + -37017. Calculate the highest common factor of q and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 454*o**2 - 149*o**2 - 178*o - 149*o**2 + 2*o**3 - 154*o**2 - 4*o**4 as q*o**4 + n*o + j*o**2 + p + b*o**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7.690616mg?\nAnswer: 0.007690616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w**2 + 1904*w + 416628 = 0. Calculate w.\nAnswer: -163, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (0 + 3)\/(4 - 11\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(((-70)\/4)\/(-5)). Suppose 3*i + 4*h = 4, 2*h - 5 = -2*i - 1. Sort -5, r, i in decreasing order.\nAnswer: i, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1233173592 divided by -9202788\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -151\/44 + 24\/11. Let c(w) = w**2 + 5*w - 8. Let y be c(-6). Let a = -4 - y. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of -3*f**5\/20 - f**4\/6 - f**3\/6 + f**2\/2 + 4*f. Suppose -2*n + 1 = 3. Let m be o(n). Solve -4*i = -m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30593844692900\/43009 - 711335876. Let b = 2\/1049 + n. Is 1 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16\/105 - 22\/315. Which is the closest to 2\/93?  (a) 0  (b) -5  (c) i  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(272) + 2 + -2)**2 + (3*(sqrt(153) + 2) + -3)**2.\nAnswer: 54*sqrt(17) + 1653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) -2  (c) 8  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 73684*c - 4 - c**3 - 73681*c - 2*c**3 - 10*c**3. Calculate f(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46883789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 + (-14)\/(-4))*((-70)\/(-15) - 2). Solve b*t = -3*d - 1, -3*d = 55*t - 52*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*i - 26124 = 32*i. What are the prime factors of i?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.48593111 rounded to two dps?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 6*o - 9. Determine r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 6:14 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 3*f - 2. Let i be l(4). Suppose 3*v = 2*k - 2, 0*k - i*k + 4 = -2*v. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -377785469*m**3*u + 102832*m**2*u - 2*m**2 + 2*m*u - 2*m - u + 3 wrt m?\nAnswer: -2266712814*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 465*p - 161*p - 226 + 595 = -1759 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48996.95l to millilitres.\nAnswer: 48996950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/30 and (18\/8)\/(84\/116).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1757445*q - 142485*q + 1087376*q.\nAnswer: 2702336*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 98 + -93. Is s - (9 - 2) - -36 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 3. Let b = 7 - m. Calculate the remainder when 1 - (42\/112 - (-147)\/(-8)) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 469, 860, 1215, 1516, 1745, 1884, 1915?\n\"Answer: -3*c**3 + 412*c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1084*q = -739*q + 4830 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -35*t + 127. Calculate o(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 14*a**2 + 22*a - 51. Let m be h(-3). Calculate the greatest common factor of m and 163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 3\/4, 0.2, 124, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07549 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1557682513.888 minus -0.2?\nAnswer: 1557682514.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1170 and 515853.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -30, -117, -266, -483, -774, -1145?\n\"Answer: -r**3 - 25*r**2 - 5*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 51789 + 19460. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 931383666 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.082  (b) -0.5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, z: 1, o: 4, k: 9, t: 1, e: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 0.02. Suppose 0 = -17*g + 18*g - 7, -3*n - 3*g = -9. What is the third biggest value in k, 0.8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1\/119939?\nAnswer: -1\/119939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = 5*n - 45, 4*n = -8*a + 4*a + 44 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + 13 + -10 - -1) + -5 - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/13 in -5, 1\/3, -3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 g when three letters picked without replacement from gggggppggpgpggpg.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t - 2*t + 2039*t**2 + 404*t**2.\nAnswer: 2443*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3315 * -0.5.\nAnswer: -1657.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 417 + -162. Suppose 2*i + 3*i = p. Suppose i = -b + 4*b. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + c - 3)*(-5*c - 6 + 6 + 2).\nAnswer: -5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -11  (b) -5  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6c + -17?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 8 = 2*c + 8, -17 = -g + 5*c. Solve -g*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8710510 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 7*a**2 - 98*a - 501. Give n(-6).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide (8 - (8 - 3)) + 9\/((-9)\/(-1258))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -7664\/637 and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -5. Suppose a = -a + 5*r - 11, r = 3*a - f. Let v**2 + a*v**3 + 2*v - 3*v - v**3 - 1 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1384425*w**2 - 692198*w**2 - 91 + 183 - 692153*w**2 - 92.\nAnswer: 74*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 1 + 0)*(4 - 3 - 4)*(5*k - 4*k - 3*k) as z*k + r and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-4*((3*sqrt(99) + -3)*5 + (-2 + sqrt(99)*3)*-6))**2.\nAnswer: -57600 - 3456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*n = 31*n + 6412. Calculate the remainder when n is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 612 - 930. Does 4 divide 1369\/6 + (-265)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4)*-1*3)\/(-2*sqrt(32)).\nAnswer: 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u and 1 p when four letters picked without replacement from {p: 9, u: 5}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4589818 - 7?\nAnswer: -4589824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of 1\/12*d**4 + 0 - 9\/50*d**5 + 11\/30*d**3 - 106*d + 1\/5*d**2. What is j in s(j) = 0?\nAnswer: -1\/2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2127573703?\nAnswer: 311, 1601, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 29*l**2 + 25*l - 45. Suppose 4*h = -4*p - 128, 3*h + 7*p + 104 = 2*p. What is the units digit of o(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**2 - 110956*z**3 + 110908*z**3 + 2*z**2.\nAnswer: -48*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 7:56 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/27)\/(-9*2\/(-9)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 5262 = 2*y, -166*b + 4*y = -162*b - 4232. What is the highest common divisor of b and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/6192 and -1\/72.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -116 (base 9) to base 8.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0\/1 + 3 + 1)\/2. Suppose -z*s - 41 = -111. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70\/36*74160\/15450?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -1  (b) 3\/53  (c) 4  (d) 3\/4  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5241.73586288 from 0.4.\nAnswer: -5241.33586288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 389391417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*((-1)\/2)\/((-4)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010 less than 66?\nAnswer: -944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 459109*n**2 - 410*n**3 - 459109*n**2 + 411*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-1644)\/9)\/(5\/(-15)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60063 (base 10) to base 5.\nAnswer: 3410223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-23)\/(-11 + 9 - -1). Which is the second smallest value?  (a) u  (b) -1.3  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 5.5  (b) -3  (c) -4  (d) -13  (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hdiiiid. Give prob of picking 1 h and 1 i.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -42*b*j**2 - b - 2*j**3*u - 16*u wrt j?\nAnswer: -84*b*j - 6*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-68)\/(-85)*(-5)\/(-14))\/((-1)\/(399\/(-8322))).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -6.2. Let p = y + -0.5. Let o = -43 - -389\/9. Which is the closest to -2?  (a) o  (b) p  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 313*k**3 - 5*k**2 + 5*k + 5. Let c(i) = 29892*i**3 - 477*i**2 + 477*i + 477. What is -5*c(g) + 477*u(g)?\nAnswer: -159*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 1843 = -1735. Let t = 3652 + a. Let d = t - 11530. What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 103545 - 5213?\nAnswer: 54332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/(sqrt(4) + -2*sqrt(64)) + ((sqrt(168) - 1*sqrt(168) - sqrt(168))\/sqrt(8))\/sqrt(3) + -4.\nAnswer: -4 - 8*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -11*t - 75. Let d be v(-7). Let j(m) be the third derivative of 0*m - 11\/24*m**4 + 6*m**d + 0*m**3 + 0. Let c(i) = 2*i. Calculate j(c(b)).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 195 - 19. Suppose 0 = -4*m + p + 42, -1 = 2*m - 5*p - 13. Calculate the highest common divisor of m and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 671066 divided by -1034\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 3*i**2)*(-i - 2 + 2 - 2*i + 0*i + 0*i - 7*i - 9 + 9 + (-1 + 1 + 2)*(-4*i + 4*i - 2*i) + 2 - 2 - 2*i).\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 98152471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*c**2 - 564*c**2 + 111*c**3 - 350*c**2 - 113*c**3 - 477*c**2.\nAnswer: -2*c**3 - 1377*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 161 - 289 = -4*x, -2*x = -16. What is the highest common factor of 464 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 3*y + 2. Let z(n) = 379*n**2. What is z(q(k))?\nAnswer: 3411*k**2 + 4548*k + 1516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**2 + 10*v - 15. Calculate j(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8930805 and 6.\nAnswer: 17861610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 9*r**2 + 2*r + 19. Let w = 2186 + -2195. Determine k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -h + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -18*b**3 - 46*b**2 + 6*b - 6. Let q(l) = -20*l**3 - 45*l**2 + 7*l - 7. What is -7*n(o) + 6*q(o)?\nAnswer: 6*o**3 + 52*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1275172453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 PM and 12:36 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of 0 + 3\/20*s**5 + 0*s**2 + 5\/6*s**3 + 0*s**4 - 5*s. What is the second derivative of b(o) wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-49)\/(980\/(-40))*(-1)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -1, -8, -1604\/7, 0.33 in ascending order.\nAnswer: -1604\/7, -8, -1, -0.2, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 5*f - 345 + 40, h + 59 = -f. Let r = h - -57. Let c = -4 + 0. Is c less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*f**3 - 10*f**3 - 4*f**3 - 20*f**3.\nAnswer: -47*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 764 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 49345 = 178*c + 18937. Calculate the smallest common multiple of c and (-1)\/(-2 - -1) - -17.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(-15)*(-20)\/(-88)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1439 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98638 is divided by 13476.\nAnswer: 4306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 665*z - 445*z + 799*z + 660*z.\nAnswer: 1679*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3*(42\/18)\/(-7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150 = -d - 147 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a + 7*a**2 - 2*a**3 - a**3 - 5 + 0*a**3 + 2*a**3. Let v be r(7). Let u be (-4)\/14 - (-360)\/84. Calculate the highest common divisor of v and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -3, -387, 2\/5, 2\/13, -4 in ascending order.\nAnswer: -387, -4, -3, -3\/5, 2\/13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 126 and 1836?\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -3. Let r be m\/5 - (-24)\/(-10). Let d be -1 - r\/(-3) - -1. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10\/9 or -0.0307?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 0.6  (b) -2.8  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3632224 (base 9) to base 2\nAnswer: -111100000111100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/12420 and -77\/900.\nAnswer: 62100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s + 8. Let k be (3\/9)\/((-1)\/(-6)). Let j = 9 - k. What is the units digit of t(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 365103 and 527371.\nAnswer: 4746339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/65835 and 93\/19033630?\nAnswer: 171302670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 1\/2, -40, 262, 16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -x**4\/24 + 4*x**3\/3 - 2*x**2. Let s be f(8). Find the first derivative of 0 + 0*g**2 - 2 + s*g**2 - 2*g**4 wrt g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2*v - 3)*(5 - 23 + 52)*(-5 - 6 + 4) as h*v + k and give h.\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2647 - 4872 = -9*d + 4318. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -58 - -89. Let l = n + -29. Suppose 6*u = l*u. Solve u*y - 5*y = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 77\/33 + -2 + (-6)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.001 + 120.599. Let q = w - 122. Let g be (-2)\/(-4)*2*(-6)\/18. Which is the second biggest value?  (a) q  (b) -0.4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2025 = 10*n - 15*n. Calculate the greatest common divisor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 87*n + 2 + 80*n - n**4 - 168*n - 101*n**3 - n**2 + 2*n**4 in the form y + z*n**3 + b*n + s*n**4 + k*n**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of -k**3\/3 - k**2\/2 + 1. Let p be m(0). Suppose -5*v = 1 + 9. Which is greater: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 1)*(-7*i**2 + 6*i**2 - 3*i**2) + 3 + i**2 - 3 - 2*i**2 + 0*i**2 + 0*i**2 - 1 - 4*i**2 + 1 in the form t + j*i**2 + n*i and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 7. Let m(w) = -17*w**3 - w**2 - w. What is the tens digit of m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*j**3 - 3 + 1 - 118*j**3.\nAnswer: -88*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-18)\/(-4)*12\/54 - -3. Let t(r) = r + 1 - l + 3. Let z(a) = -28*a**2 + a. Calculate z(t(o)).\nAnswer: -28*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 2*m + 4. Suppose 682*n - 678*n + 2*r - 52 = 0, -26 = 3*n - 5*r. Sort 0, m, n in descending order.\nAnswer: n, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q**4 + 21525*q**3 - 5791476*q**2 + 13410516*q - 3827472 = 0.\nAnswer: -2636, 1\/3, 2, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -12, -4\/15, 3\/5, 17?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 37085.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z**2 + z - z + (2*z**2 + 0*z**2 - z**2)*(3 + 31 - 60).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5126500051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3131 + -3115. Solve f = -17*q + 101 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 36 = r, 0 = -f + 1 + 1. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*d**2 + 7*d**3 - 6*d**3 + 6*d**3 - d**2 wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 5*j - 16. Suppose -5*l + 15 = -4*m - m, 18 = 2*m + j*l. Let b be 2\/m + -2 + -2. Let r(g) = 2*g**2 + 2*g. What is r(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -b**2*x - 8997*b*x - 214392*x wrt b.\nAnswer: -2*b*x - 8997*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -449*t. Let s(m) = -4727*m. What is s(h(l))?\nAnswer: 2122423*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 292 or 1.27?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.17 + -1.2. Let d = v + 1.03. Let r be (-6)\/(-10) - 2 - -1. Which is the nearest to d?  (a) 4\/3  (b) r  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 4:43 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 33 - 57. Let h be 15\/45 - ((-134)\/3 + 1). Let z = h + r. 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 -7577600*j*l**5 - 228*j*l + 5283*j + 3*l wrt l.\nAnswer: -151552000*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178644?\nAnswer: 2, 3, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 61*q*x + 8857*q - 103*x wrt x?\nAnswer: 61*q - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -0.252.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -389419.63 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1260 is divided by 8 + 32\/432*-111 + 1712\/9.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*(-45)\/(-126) + 7373\/146 + 0\/(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, t: 10, w: 3}. Give prob of picking 3 t.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rp when two letters picked without replacement from rrnrpppnpprppprrrp?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + -208?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 1:21 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7874 and -0.02878.\nAnswer: 226.61372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lzg when three letters picked without replacement from gzibl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(1377)*-1 - (sqrt(34)\/sqrt(2) + 4 + sqrt(17)*-1 + -2).\nAnswer: -18*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17.393 - 17.3. Let o = -0.078 + v. Round o to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*x + 300 = -9*x. Solve 10*s + 25 = -x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 2*c + 74 = 0, -3*c + 10 = -5*u + 99. Solve 4*y - u = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*t - 5136 + 2393 = -2071 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -51712*h*i*n - 4*h*i - 94*h*n + 39*h - 2*n + 3 with respect to i.\nAnswer: -51712*h*n - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 0.95.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -136 + 152 - (46 + -7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 3*n**2 - 3*n + 2. Determine t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 16 - 14 - -1 - (4 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 78, 277, 800, 1809, 3466, 5933?\n\"Answer: 27*s**3 + 10*s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12932.\nAnswer: 2, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 4.5. What is the nearest to 0 in -2, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**3 - 89*y**2\/11 + 382*y - 11200\/11 = 0 for y.\nAnswer: -25, 32\/11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 + -16. Solve u*r = -r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 234?\nAnswer: 5\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 73*p - 41. Is c(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 + (-81)\/(-18))*(-56)\/72\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 1 = 3*f + 2*k, 4 = 2*k. Suppose -m - m - 2 = 0. What is the biggest value in m, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*u - 48 = 2*u. Let q = 32 + -23. Suppose -72 = -2*l + 2*k, -u*l + q*l + 5*k = 190. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -22*u**3 - 444*u**2 - 23780*u - 23338. Let o(s) = -2*s**3 - s**2 - 2*s - 1. Let h(i) = -10*o(i) + y(i). Let h(f) = 0. What is f?\nAnswer: -108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -410681, -1642395, -3695143, -6568925?\nAnswer: -10263741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5725362 - 989863. Suppose -3*h + 3*v = 12899991, -435490 = -h - 3*v - r. Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 2. Let h(l) = -228*l**3 - 2*l + 465. Let g(c) = 2*f(c) + h(c). Find the second derivative of g(s) wrt s.\nAnswer: -1356*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 8*h - 5. Let p be 388\/970 - 23*1\/(-5). Let q(u) = -u**2 + 2*u + 2. Let a be q(4). Let g(w) = 7*w - 4. What is a*g(m) + p*c(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -277, 8, 1.\nAnswer: -277, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 5*j - 46. Calculate the smallest common multiple of (6\/j)\/(1\/6) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 1 - (6 - 10 - (1 - -5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - 14)\/(2\/(-10)). Let d = k - 24. What is the highest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 7*t**2 - 20*t - 640. Determine f(-9).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/57275 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-10 - -11) - 7 - 16.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + 114*l**2 + 228*l + 353. Give a(-112).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1402 - -1414. Solve 0 = -n*t - 1 + 25 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80293206198 - -0.2021.\nAnswer: 80293206198.2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -14779, 39?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0017086 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and 63597674910.\nAnswer: 63597674909.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**5\/3 - 13556*t**4\/3 - 45722281*t**3\/3 + 1495274086*t**2\/3 + 61939335380*t\/3 + 452444989672\/3 = 0. Calculate t.\nAnswer: -6794, -13, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1933*23 - (0 + 7)\/7. Let u be d\/27*(4 + 352\/2). Round u to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m. Let v(z) = 517*z - 13*z**2 - 517*z. Give b(v(t)).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00006341528 to seven decimal places.\nAnswer: 0.0000634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 3*m = -41, -5*l + 53 = -2*m + 9 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iymxwxm. What is prob of picking 1 m, 2 x, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 2 = 3*b - 7, 3*b - 5*z = 5. Let v be ((-1)\/b)\/((-2)\/10). Let n(j) = -3*j**3 - j**2. What is n(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -138 - -148. Suppose 0 = z*y - 2*y - 240. Calculate the remainder when 59 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s + 6*s - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -0.4, 3, 17, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**2\/6 - 5*r\/2 + 28\/3 = 0 for r.\nAnswer: 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9157930, 9157934, 9157938, 9157942?\nAnswer: 9157946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20200102220002 + -12?\nAnswer: -20200102220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -981, -1956, -2915, -3852, -4761?\nAnswer: -5636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 14\/9  (b) 1  (c) 2  (d) -109\/5  (e) 14  (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18333*x + 1577011 = 495364 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**2 + 3. Let v be (2\/(-3))\/(2\/3). Let k(u) = -1. Let b(x) = v*p(x) - 6*k(x). Is b(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20.7 in -4, -0.3, -1648?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, f: 2, w: 2, j: 2}. What is prob of picking 2 s?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -165, -125, -85, -45, -5?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3\/17 + 3106*q**2\/17 - 1431056*q\/17 + 206150952\/17.\nAnswer: -2*(q - 861)*(q - 346)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.5 - 12.5. Sort i, -2\/9, -0.4.\nAnswer: i, -0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2993, -6\/43, -1\/4, 1\/4 in descending order.\nAnswer: 1\/4, -6\/43, -1\/4, -0.2993","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**3 - 110*o**2 + 115*o - 439. Give k(54).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (524*y**2 - 7*y - 126*y**3 - 524*y**2)*(-2*y**2 + y**2 - y**2).\nAnswer: 252*y**5 + 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 831*y**3 + 251826739*y**2 - 251826739*y**2.\nAnswer: 831*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -145*w**3 - 9*w**2 + 38*w - 9. Is n(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**19)**(2\/9) assuming k is positive.\nAnswer: k**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1029 + 1126 - (11 + -4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 410829.5ng?\nAnswer: 0.0004108295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 833475955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -3*d**3 + 3*d**2 + 5*d - 2. Let t(h) = 6*h**2 + 2*h - h**3 - 5*h**2 + 3 - 4. Let c(i) = 2*f(i) - 5*t(i). Let j be c(1). Solve -2*g + 5 = j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q + 16. Let n be s(13). What is the lowest common multiple of 18 and 1\/n*(2 - -16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1734, 3388, 5042, 6696?\n\"Answer: 1654*a + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 755\/4*8\/100. Let x = -15 + r. What is the common denominator of x and -23\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 281, 409, 537, 665, 793?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 - 4*p**2 - 16*p - 4. Calculate l(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-8))\/(2\/(-8)). Let v(s) = -3*s - 11*s**3 + 4*s**3 + 2*s - u*s + s**2. Let r(n) = 6*n**3 - n**2 + 3*n. Calculate -5*r(k) - 4*v(k).\nAnswer: -2*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -5*y**3 - y**2 + 2*y + 2. Let j be t(-1). Suppose -192 = -6*r + j*r. What is the highest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 910715.9 nanograms in milligrams?\nAnswer: 0.9107159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-150)*(-25)\/30*-5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + (-26)\/(-4) - (5 + -2). Which is the nearest to -1?  (a) k  (b) 6  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 113.128699 to 1 dp.\nAnswer: 113.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*a**3 + 0*a**2 + 0*a**2 - 170*a**3 + 738*a**3 - 311*a**3 + (1 + 2 - 2)*(-a + a + 2*a**3) + 2*a**3 + 2*a**3 - 2*a**3 + 3*a - a**3 - 3*a.\nAnswer: 264*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 4 = 5*b. Let q be -3 + (b + -2)*-1. Suppose 4*z = 2*o - 72 - 30, -2*o - 4*z + 62 = q. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/19 in -8621, 0, -1, -0.31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of 0*h**2 + 145*h - 1\/3*h**3 + 14. List the prime factors of j(0).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k*k**12)*k*k\/(k*k**(-3)))**(-45) assuming k is positive.\nAnswer: k**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-17 - (-2465)\/119) + -18*(-6)\/(-63). Determine m so that 24*m**3 + 24*m + 39*m**l + 9\/2*m**4 + 9\/2 = 0.\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 308 divided by 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -59301 + 41968. Let s = -519881\/30 - b. Calculate the common denominator of 37\/21 and s.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 473 is divided by 106.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 211 divide 195597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -44207*i**3 + 12155?\nAnswer: -132621*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87126117 + -3.\nAnswer: -87126120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -43677*l + 28739470. Calculate v(658).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1749991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 1*sqrt(1331) + sqrt(1331))**2 + -3 + ((sqrt(44) - sqrt(176))*4)**2 + (sqrt(484)*-1)\/sqrt(11).\nAnswer: -134*sqrt(11) + 6034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5414705 and 0.7.\nAnswer: -3790293.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*(131*j**2 - 132*j**3 - 131*j**2) - 5*j**3 + 4*j**3 + 6*j**3.\nAnswer: 137*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 319430670*x**6 - 410117677*x**2.\nAnswer: 38331680400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, 2\/7, 6, 140, -1?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 5:32 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(3\/8))**13 assuming g is positive.\nAnswer: g**(65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2607040 by -5.\nAnswer: 521408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 - -20. Let r(s) = -s**3 - 9*s**2 - 9*s - 6. Let q be r(m). Solve -q*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 956 + 22?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-2))\/((-6*(-3)\/(-63))\/((-32)\/(-56))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4468 + 4471.0335. Let i = f + -0.0335. Let h = 0 - 0.2. Which is the closest to h?  (a) 5\/2  (b) -1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*b - 5545 = -57*b - 62*b - 1365 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2095 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -104, -90, -60, -8, 72, 186, 340, 540?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - 7. Suppose 0 = 3*t + 9, 5*j - 9 = 3*t + b. Which is greater: 3\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h. Let q(l) = -22*l - 316. Let p(j) = -51*j - 631. Let w(a) = -3*p(a) + 7*q(a). Determine m(w(r)).\nAnswer: r + 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*w**3 + 321*w - 664*w - 2*w**2 + 2*w**2 + 345*w.\nAnswer: -89*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16131996.\nAnswer: 2, 3, 448111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 24 = 4*v, 3*v - 905 = -5*f - 925 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -1317 and -1315 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60821424?\nAnswer: 2, 3, 137, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.12 greater than or equal to 183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v - 3*o + 4 - 21, v - 11 = 3*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*a = 5*n - 1955, -81280 = -3*a - 3*n - 81205 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14603 = i + 6*b, -43875 = 26*i - 29*i + 4*b. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 135 divided by -45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*r - 8*r**3 + 101*r - 17*r.\nAnswer: -8*r**3 + 32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 - 55*a**2 + 170*a - 170. Determine z(-58).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 54, 60, 80, 120, 186?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104131 is divided by 118?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/(-24) - (-22)\/6. What is the tens digit of (100\/c - -4) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 28665, 114673, 258021, 458709, 716737?\n\"Answer: 28670*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11775 + -11959.779. Let d = -44 - 141. Let a = t - d. What is a rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s and 1 b when four letters picked without replacement from {d: 1, s: 6, a: 5, b: 1, r: 1}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 107448 and 468?\nAnswer: 4190472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21981 is divided by 4138?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4194438046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -44, -61, -80, -101, -124?\n\"Answer: -g**2 - 14*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 130\/18 + 14\/(-63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35352 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 30, 41, 56, 75, 98?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -18, -21, -46, -105, -210, -373, -606?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 101110100 (base 2) in base 14?\nAnswer: 1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 + 0)*(34*x + 9*x - 14*x)*(-2*x**3 - 1 + 1) as o*x + v + r*x**2 + t*x**4 + q*x**3 and give t.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 554.7, 40, 0 in decreasing order.\nAnswer: 554.7, 40, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -10024443 (base 6) to base 7\nAnswer: -2260500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(38)\/((sqrt(20)*3)\/sqrt(10)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -23858.970077+-0.4\nAnswer: -23859.370077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4240.2 - -4240. Which is the nearest to t?  (a) 0.8  (b) 0.4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 13376806 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of f**5\/30 + 376*f**2. Let d(h) = -7*h - 2. What is i(d(x))?\nAnswer: 98*x**2 + 56*x + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3300)\/27)\/(4\/12). Let f = -366 - p. Which is the third smallest value?  (a) f  (b) -1\/3  (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 350 = -4*k + 9*k. Let j be 20\/k - (-24)\/14. Solve -l + 1 = -j*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d + 17. Let p be r(10). Suppose 3*i - 4*g - p = -27, 5*i - 10 = -2*g. Suppose 3*u - 21 = -i*u. What is the remainder when 17 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + u**2 + 1. Let q(p) = p**3. Let a(v) = -v**2 - 25*v - 91. Let g be a(-16). Suppose -40 = 13*z - g*z. Give z*q(x) - 2*w(x).\nAnswer: -x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -4*v**2 - 106*v + 51. Let x be i(-27). Let t be ((3 - (-2 - -6))*-1)\/x. What is the closest to 0 in -5, t, -2, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1820 by -455.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -73170, -146364, -219586, -292848, -366162, -439540, -512994?\n\"Answer: -2*i**3 - 2*i**2 - 73174*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -16. Let y = -25 + 8. Let l = h + y. Is l less than or equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1112, -1121, -1144, -1187, -1256?\n\"Answer: -f**3 - f**2 + f - 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d + 4 - 4)*(-3*d**3 + 3*d**3 - 2*d**4) - d**5 + 4*d - 4*d + 45*d**5 + 7*d**5 - 8*d**5 + (-5*d + d + 0*d)*(-d**3 + d**3 + 2*d**4) - 2*d**5 + 1 - 1.\nAnswer: 37*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 30619488 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 3*p**5 - 156216*p**4 + 2032838583*p**3 + 20344010430*p**2 = 0.\nAnswer: -10, 0, 26041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -16 + (6 - -16) + (1 - -7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/2  (b) 5  (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 7:31 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = 5*b - 15. Suppose 3*t - 9 = -b. Solve 15 = 5*a + 2*h, 0*h = a + t*h - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*b + 45*y + 256, 677 - 663 = -4*b - y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 + -10. Let u(l) = -l**2 - 4*l - 4. Let d be u(y). Let o = d + 6. Solve -o*r - 3*r + 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -30*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 + 46*x**2 + 42*x + 152. Give j(47).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -104560 rounded to the nearest one thousand?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 304 and 48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/13995 and -13\/54?\nAnswer: 83970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in -9\/25, 1, 1\/5?\nAnswer: -9\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22 - -220. Does 40 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5623002*x = -5622932*x + 560 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 80349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 366370973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 6*x - 30 - 7, 2*q - x = -12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = j + 17, -3*j - 4*k - 149 + 122 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 1 = 5*h, -3*u = 3*h + 494 - 503 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-144)\/30 + 5)\/(11\/330*-117)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -646*i**2 + 1928*i**2 - 653*i**2 - 659*i**2 - 3*i.\nAnswer: -30*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -993, -994, -995, -996?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -125.498527 - -125.5. What is l rounded to 5 dps?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + 41*d**2 + 11*d - 446. What is c(41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**2 + 190*m**3 + 3*m**2 - 380*m**3 + 188*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -3647102.\nAnswer: 13\/3647102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i + 10. Let l be j(7). Let u be 3054\/22 - 4\/(-22). Let t = u - 693\/5. What is the third smallest value in 2, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 + 1 = -28*f + 390 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s = 4*s + 24. Suppose 2*w - 2*n - 84 - 14 = 0, -3*n + 175 = s*w. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -3  (b) -8  (c) -717  (d) 3  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.2 from 290398895852840.\nAnswer: 290398895852839.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -73 (base 9) to base 10\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 305433820?\nAnswer: 2, 5, 1571, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-1))**34\/((d**(-41)\/d)\/d**(1\/47)) assuming d is positive.\nAnswer: d**(1975\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/b**1*b))**(-1\/2)*(b**(-1\/2)\/b)**(2\/41))\/(b\/b**4*b\/b**(-2)*(b\/(b\/b**(-1\/3)))**(-44)) assuming b is positive.\nAnswer: b**(-1813\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 25 = 10. Suppose 4*s = f*s - 5. Let k(v) = 2*v + v - s*v. Let d(z) = -4*z. Determine k(d(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 159555650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -77.966 + -0.034. Let i = h - -78.0082. Round i to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -74977292 by 1441871.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -n + 3*s, 4*s + 21 = -5*n + 37 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -5994 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 4*i**2 - 17*i + 34. Let h be m(8). Let p = 156 - h. Solve -p*g - 3*u + 8 = 0, 5*g = u + 11 + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)\/(sqrt(576)*-2) + -4*sqrt(612)*-4)**2.\nAnswer: 40055825\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 266 is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3462 = -1220*n - 198 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-15)\/(j**(-1\/2)*j))\/(j**14*j\/(((j**3*j)\/j)\/j)))**5 assuming j is positive.\nAnswer: j**(-285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k + 22 - 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 258, 294, 332, 372, 414?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91455.03ml to litres.\nAnswer: 91.45503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*a**2 - 18*a + 11*a + 46 + a**3 - 2*a**4 + 0*a**4 - 51 + a**4 to q + h*a**2 + w*a + s*a**4 + t*a**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3099133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 29 = 10*d - 7*d, -3*d + 19 = x. Calculate the remainder when x is divided by 1\/(2\/(-3))*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -612, -807, -1002, -1197, -1392?\nAnswer: -1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + (-1 - -11) - 34 - 2) + 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -229141.285 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 - (-12 + 0 - (16 + (6 - 9 - 22))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 261*p**2*q**5 - 1226*p**2*q**3 - p**2*q + 13318469*p wrt q.\nAnswer: 5220*p**2*q**3 - 7356*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 52.4 to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-7)\/(-2) + (-1)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 6 = 3*s + 10, 0 = s + 4*d - 6. Suppose -3*n + 6 = 3. Let i be (-3)\/((-6)\/8 - 0). Sort s, n, i in decreasing order.\nAnswer: i, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (459\/(-68))\/((-15)\/(-20))*10\/(210*-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 3*v - 8 = 0. Suppose 3 = v*c - 3*c. What is the third derivative of c*f**2 + 9*f**3 - 2*f**2 - 9*f**3 + f**4 wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34268 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 2:58 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of h**4\/3 - 3*h**2\/2 - 99*h. Let b(v) = 6 - v**2 - 2 - 3. Calculate 6*b(y) + 2*p(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -339.1011.\nAnswer: -1356.4044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 96 = -2*s. Suppose -162 = -2*j + s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 2, 66 = t + 4*o - 1. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + -21222020010021?\nAnswer: -21222020010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-58)\/54*3 - 12\/(-54). Sort 3, j, -1, 30, 15.\nAnswer: j, -1, 3, 15, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190 (base 10) in base 2?\nAnswer: 10111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -27464936\/3 and -9154979 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1786\/19 - -9 - 26?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**14\/y*y*y**(2\/45)*y*y*y*y*y**(-13\/4)*y*y**(-1\/6))**(-12) assuming y is positive.\nAnswer: y**(-2813\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 224465300 to the nearest one hundred thousand.\nAnswer: 224500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 15\/(-5) + 7 + -1. Suppose x*g + 11490 = -5*h, 3*g + 229 = h - 11261. Round g to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 30*f**2 - 26*f + 36. What is the thousands digit of s(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 5*c. Let v(b) = -b**2 - 11*b - 1. Give 5*s(m) + 2*v(m).\nAnswer: -2*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5\/11, 2\/13, 0, -0.11, 1.4 in descending order.\nAnswer: 1.4, 1, 2\/13, 0, -0.11, -5\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11072 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*r**3 - 48 - 558*r**3 + 45 - 24*r**3.\nAnswer: -673*r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.37 + -0.13. Sort h, 0, 0.5 in decreasing order.\nAnswer: 0.5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -277\/4 - -3583\/52. Let g be 6 - (71\/568)\/((-1)\/(-56)). Is c <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 77797356 and 9.\nAnswer: 700176204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 20 = 2*d. Let r(c) = 10*c + 11. Calculate the remainder when r(d) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -89ef + 4?\nAnswer: -89eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 76897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 5*w = 4*t - 9, 0 = -2*t - 3*w + 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000176584 to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*208.3203.\nAnswer: 416.6406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 11\/99*-30*-6. Suppose 0 = -5*d - x - 4 + 126, -3*x - 34 = -d. Calculate the highest common factor of y and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -14. Suppose 0 = 5*o + 5*r - 40, 5*r = -30 + 10. Let d = 20 - o. Calculate the greatest common factor of d and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/22 + 4520\/55. Find the first derivative of 2*l + l - m + 22 + 44 wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 5*l**2 + 3. Let y(m) = 4*m**2 + 3. Let h = 2 - 5. Let n(o) = h*r(o) + 4*y(o). What is the derivative of n(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 939 is divided by 155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9, 1\/7, -3, 28\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7709275 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1916 + -1911. What is the closest to -64 in 4, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1161.8721 months in millennia?\nAnswer: 0.096822675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3146 and 8470?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/5634 and 107\/97856946.\nAnswer: 97856946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -0.4, 10 in decreasing order.\nAnswer: 10, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l**2 + 4. Let n(s) = 1. Let q(g) = -4*n(g) + r(g). Let c(k) be the first derivative of k**2\/2 + 12. Give q(c(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {v: 5, r: 7, l: 2, q: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 308 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 437*l**3*u - 244*l**3 - 2*l**2*u**3 + 3*l**2 wrt u.\nAnswer: 437*l**3 - 6*l**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**2\/4 + 569947*q\/4 + 1709859\/2 = 0.\nAnswer: -6, 569953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6037366 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8400 = -0*z + 3*z. What is z rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18) + 3 + 4.\nAnswer: 3*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1924036 and 962018?\nAnswer: 1924036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103196*p**2 - 206380*p + 24 = 0.\nAnswer: -2, 3\/25799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 255*b**2 - 332*b + 67. Is t(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -11*n**5\/20 - n**4\/3 - 9*n. Find the third derivative of r(p) wrt p.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llellesspllpexlpsxs. Give prob of sequence sp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 2*v - 4 = 0, 4*t - v = -5*v + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2128 - -5?\nAnswer: -2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -4449?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 0*v + 3*r = 16, 0 = -2*v + 3*r - 17. Let w = 2 - v. Calculate the highest common factor of w and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.4899 and 31?\nAnswer: 31.4899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 121219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(-2 + 12417*k**3 + 2*k**2 + 23*k + 23*k - 12419*k**3).\nAnswer: -2*k**3 + 2*k**2 + 46*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12104 + 12545?\nAnswer: 25053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*b**2*g*l + 5*b**2*g + 2*b*g*l + 30*b*g + 2*b + g*l wrt b?\nAnswer: -44*g*l + 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534*r + 2020*r - 72814 = 0 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 52 + -16. Let h be 40\/18 - 8\/p. Determine b so that -b**3 + 4*b**2 - h*b - 2*b**3 + b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8\/5*d + 0 + 4\/5*d**3 + 12\/5*d**2.\nAnswer: 4*d*(d + 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -2*q**2 - 2*q + 140. Calculate m(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 245501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 2*r = -63 + 49, 4*r - 20 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1463737341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 37001 + -30441. Calculate the least common multiple of t and 5248.\nAnswer: 26240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20496 divided by 5\nAnswer: 20496\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -220 - -1447?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(6 + -6 - 1\/14)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 + 25. Let x = w - 6. Solve -3*o = -x*o + f, -o + 8 = 3*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 21*k = 19*k - 13, 4*z + 11 = -k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 3*q**5 - 6*q**4 + 6*q**2 - 3*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 2*h - a - 22, 9*h + 5*a = 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - (1 + 2\/2). Let l(u) = 4*u + 1. Let h be l(t). Suppose -62 + 512 = 45*p. Are p and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12 - -48?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of 1\/2*l**2 + 0*l + 2. Let t(u) = -4*u. Determine t(j(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*y**5 + 37091*y**3 - 46*y**2 + 4167936*y wrt y?\nAnswer: 40*y**3 + 222546*y - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 1 = -13. Let n(m) = -118570*m + 10. Let q be n(y). What is q rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = -s + 4, -5*y + 2*y = -5*s - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/6 + -1 + 3. Solve 0*c + w*c + 4*h - 26 = 0, 5*c = 4*h - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 237\/616 + -3\/308. What is the smallest value in -58, d, -1?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 105 (base 6) to base 10\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 93608399 + -1.2.\nAnswer: 93608397.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -185454652, -185454650, -185454648, -185454646, -185454644?\nAnswer: -185454642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-20)*-5*-1*(-52)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 - 8*a**2 + 5*a - 30. Let r be o(-9). Suppose 2*m + 0*m = 0. Suppose m*l = r*l - 96. What is the highest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a factor of 1969987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1259.08 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 - (-29 - (-50 + 22))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from gyyyyygyyyggyyygygg.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.5, -39, -8, 745, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - 29*o + 34. Let b be a(30). Is (b\/5)\/((120\/550)\/12) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38, -1, 68, 175, 326?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20906, -41703, -62420, -83057, -103614?\nAnswer: -124091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -12.8  (b) 4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.7762721 days?\nAnswer: 67069.90944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -7. Let g be 2\/z - (-1044)\/90. Let t = g - 6. Which is greater: t or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -74.7 + 87. Let x = -12.30000118 + j. What is x rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 38*w = 252. Let l(f) = f - 21*f + w*f + 11*f + f - 32. What is l(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -12*y**3 + y. Let r be f(-1). Let x = r + -4. Let p = 4 + x. Calculate the lowest common multiple of p and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596455734 to the power of 1\/2, to the nearest integer?\nAnswer: 24422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -5*i - 87. Let x be y(5). Let w = x - -256. Calculate the greatest common divisor of 80 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16441*-13912\nAnswer: -228727192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y - 6*y = 75. Suppose 0 = 2*c - 4. Suppose -c*x + 79 = -71. What is the greatest common factor of y and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 205604 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10, -23, -36, -49, -62, -75?\n\"Answer: -13*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = h - 4, y - 3*h + 11 = h. Let i be 3 - y - (0 + -59). Suppose 0 = -3*d + i - 4. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37901041531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4479.64 rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -p**2*x**3 - 6779*p**2 - 4484*p*x**4 wrt x.\nAnswer: -3*p**2*x**2 - 17936*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 18*j + 44. Let b(m) = -8*m - 13. Let l(a) = 7*b(a) + 3*r(a). Let y(x) = 2*x - 40. Give 5*l(w) + 4*y(w).\nAnswer: -2*w + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*v = 29 + 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15699, -15819, -16057, -16413, -16887, -17479, -18189?\nAnswer: -19017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 + -45. Let f be (l\/(-81))\/((-2)\/(-114)). Which is smaller: 11 or f?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 1889, 494, 5 in descending order.\nAnswer: 1889, 494, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23\/13, -5, 0.01 in increasing order.\nAnswer: -5, 0.01, 23\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -0.5038.\nAnswer: 2.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 70*z**2 + 3*z - 3. Let b(f) = -141*f**2 - 7*f + 7. Give -3*b(y) - 7*i(y).\nAnswer: -67*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11 and 104044.\nAnswer: 1144484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -0*w - 56. Let s = w - -109. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/25*0\/2. Let a(m) be the third derivative of 5*m**2 + 0*m**4 + d - 1\/40*m**6 + 1\/3*m**3 + 0*m**5 + 0*m. What is the first derivative of a(f) wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/6*60\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 7120, 6225, 5330, 4435?\n\"Answer: -895*k + 8015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -4. Let w = 361550 - 361554. Which is the fourth smallest value?  (a) 1\/6  (b) 39  (c) w  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-2 - 0) - 3 - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 250*t - 6. Let y(l) = 104*l - 3. Let u(r) = -2*m(r) + 5*y(r). Let h(d) = d. Determine h(u(i)).\nAnswer: 20*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s + 1. What is u(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/6*(9 + -12). Suppose -v*o = -7*o + 10. Suppose 3*d + 0*h - o*h = 132, -132 = -3*d + 5*h. What is the remainder when d is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1017, 2417, 4751, 8019, 12221, 17357?\n\"Answer: 467*f**2 - f + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 517 and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2712.4 + -2712. Sort -1, j, -14\/11.\nAnswer: -14\/11, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 4*q**3\/5 - 1896*q**2\/5 + 299568*q\/5 - 15777248\/5 = 0?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/107)\/x*x*x)\/x**(-1\/14))\/(x**17)**14 assuming x is positive.\nAnswer: x**(-354947\/1498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 - 0) + 11 + -3 + 6. What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2378692, -4757383, -7136074, -9514765, -11893456, -14272147?\nAnswer: -16650838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhoohhh. Give prob of picking 2 h.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -352 = 9*s - 415 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -s - 2*c, c + 0 = -2. Let y = s - 4. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 7) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {p: 4, t: 2, x: 3, a: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1715 a factor of 1514478071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**4\/2 + 239913*k**3\/2 + 2402511885*k**2 + 169877187750*k - 1939143037500 = 0. What is k?\nAnswer: -39950, -81, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2768*r**3 + 5787*r**3 - 3020*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 244256 + 244505 - 488781 + f.\nAnswer: f - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 + -14. Let d = z - -3. Let o = -6 + d. Solve r = -o*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*r = -28*r + 123. Suppose -3*a = -0*x - x + 39, x - 39 = 4*a. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (35840\/24)\/(-7) + 1\/3. What is the closest to -1 in g, -3, 1\/6, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/60*-6*6)\/((-9)\/39).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 544 a factor of 93593024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2145 divided by -5\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -402 - -401.7. Let h = -1.05 + 0.05. Let c = h - -0.5. What is the closest to 1\/4 in -3\/8, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (1 + (26 - 0) + -2 + -224 + 226).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -89 + -21. Let n = 131 + l. What is the common denominator of 79\/10 and 328\/(-126) - (4 - 78\/n)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) 2847  (c) 1.276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2109972 or 2109971?\nAnswer: 2109972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/2540 and -87\/28.\nAnswer: 17780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {w: 2, s: 1, f: 4, z: 2, g: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(504)\/sqrt(8)*4)\/sqrt(3))\/(sqrt(33)\/((sqrt(132)*-2)\/sqrt(12))).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -2. Let s = -1196.2 + 1196. Which is the second smallest value?  (a) h  (b) -0.3  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114452553?\nAnswer: 3, 1783, 21397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 3*r - 3. Let g(z) = 2*z**3 - 5*z + 5. Suppose 2*n + 0 = 2*j - 4, j = 5. Suppose -6 = n*v - 3. Let h = v - -4. What is h*g(b) + 5*k(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-4\/5)*g*g)\/g**32)\/((g*g*g\/(g**22\/g*g))\/g**(2\/3)) assuming g is positive.\nAnswer: g**(-167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 404*m**2. Let b(a) be the first derivative of -15*a**2\/2 - 7638. Determine b(v(i)).\nAnswer: -6060*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-69)\/(-8)*2 - 140\/(-2688)*-24.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -2*c**3\/15 - 30524*c**2\/15 - 142024696*c\/15 - 182723488528\/15 = 0?\nAnswer: -6574, -2114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 3 - (17 - 24)) + (4 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -107 + 76. Suppose -13*x = 20*x + 1056. Which is greater: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a hour in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10412 and 6028?\nAnswer: 114532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - 3 - -4 - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*(d*d\/(d*d**(2\/19)))\/d))\/d)**(-2\/115) assuming d is positive.\nAnswer: d**(34\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 25230681 a multiple of 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -589 - 31*l - 615 - 634 + 1969. Give a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5*x - 4*j - 20, 4*x - 4*j - 28 = 0. Let s(w) be the second derivative of -1\/48*w**x + 0*w**3 + 0 - w + 0*w**2. Factor s(n).\nAnswer: -n**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mw when two letters picked without replacement from wrmduvm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.271 * -0.084723\nAnswer: -0.022959933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 minus 630.54?\nAnswer: -630.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b + 48. Let c be p(13). Let g be (((-155)\/(-6))\/31)\/(c\/(-10)). Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + 4*y + 4. Let i = -2255 - -2260. Determine g(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2171517269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33b (base 16) to base 15.\nAnswer: 3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -310*k - 197. What is the hundreds digit of f(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + -10132?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 14 + 6. What is the greatest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 4*k**2 + 4*k + 5. Let u be 7 + -1 - 4\/4. Let r be q(u). Suppose -49 = -5*o - 4*j, r = -2*j - 3 + 5. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7.4891 and -244.\nAnswer: 1827.3404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 14*t - 423. What is z(24)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 w when three letters picked without replacement from mwrwpyrbyrmwwrprw.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 255, 310, 365?\n\"Answer: 55*s + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(120\/57 - 2). Let f = c + -14. Solve 3*q + 21 = 4*m, -f*q + 24 = 3*m - 10*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 (base 7) in base 2?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7\/((-105)\/1460))\/(-4)*-9. Let w be -12*(-2 - 123\/(-12)). Let u = w - f. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -13616*a**3 - a**2 - 9*a + 70. Let o be j(5). What is o rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -288\/7 + 4\/7*u**3 - 8*u**2 - 272\/7*u = 0.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -68  (b) -26\/5  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26 and 1066.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(36) + sqrt(36) + -1*sqrt(36)))\/(sqrt(972)*-2 - sqrt(12)) - -6*(((sqrt(18) + sqrt(72)\/sqrt(4))\/sqrt(6))**2 + 2).\nAnswer: -sqrt(3)\/19 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from thhfhhhuyf. What is prob of sequence fthf?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2 - 232*h.\nAnswer: 4*h*(h - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**4 + 131*n**3 - 2013*n**2 + 8649*n - 11286.\nAnswer: -(n - 114)*(n - 11)*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 65*y + 70*y + 4 = -5*x, 2*x - 16*y = 44 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2113, 2078, 2043, 2008, 1973?\nAnswer: 1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 255 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 2:47 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 4*s**2 - 2*s + 3. Let x be k(4). Which is the third smallest value?  (a) -6  (b) x  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 289767, 289371, 288975, 288579, 288183?\nAnswer: 287787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q - 1. Let c(y) = -3*y**3 - y**2. Let m be c(1). Let j(z) = -z**2 + z - 1. Let h be j(2). Let b = h - m. Give l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in ninety-three quarters of a millennium?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (2 + -1 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 12402802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1112201111 (base 3) in base 10?\nAnswer: -30415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -122497, -122496, -122495, -122494?\n\"Answer: d - 122498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) -9  (b) -0.02  (c) 1  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) 4  (c) -23  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 7. Differentiate -7*g**3 + q*g**3 + 8*g**3 + 6 with respect to g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4160.7 - -7973.9. Round k to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179 + 254 - 219 = -5*n + 3*b, 0 = n + 3*b + 2 - 38 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36 + -33. Suppose -2*t + 3*t - q*r - 193 = 0, 193 = t + 2*r. What are the prime factors of t?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16587 is divided by 553?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -128.258 - -128. Let x = 0.31 + b. Let d = x + -0.052092. What is d rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 34734.\nAnswer: 312606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 50113 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 times 366?\nAnswer: 36966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*n = 2*w - 40*n - 2454384, -2*w + 2454420 = 5*n. Round w to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of p**6\/30 + p**4\/4 + 31*p**3\/6 + 1178*p**2. Let r(m) = m**3 + m - 1. Calculate k(b) - 6*r(b).\nAnswer: -2*b**3 + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14345 is divided by 1289?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**3 - 735*f**2 + 1353*f + 25515 = 0. Calculate f.\nAnswer: -5, 7, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 422611 and -13.\nAnswer: 422598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2*(sqrt(42)\/sqrt(6) + sqrt(7)) - (sqrt(252) + 2))**2 - (-2 + (sqrt(343) - (sqrt(343) - sqrt(343)*1) - (sqrt(84)*-2)\/sqrt(12)) + 0)**2.\nAnswer: 133 + 76*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-10)\/(-15)*81\/(6*(-3)\/(-9))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2190*i = 2195*i - 170 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -3*s**2 + s - 1. Let i be y(1). Let l be (-121)\/264 - 1\/i. Let j = -9 - -9.1. Which is the biggest value?  (a) j  (b) l  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(1331) + 2).\nAnswer: 6 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -673.33\nAnswer: 134.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*p + 80 = 15*p. Calculate the remainder when 199 is divided by p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, 64, -4, 81?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10 + 10 + 5*b)*(-22 + 41 - 21)*(0 - 1 + 0) as y*b + q and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -6*j + j. Let n(h) = 2*h - 3 - j - 4 + 6. Give n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -62*j + 3 - 209*j + 51*j + 5. Let k be y(8). Let a = k - -2972. Round a to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25*(-24)\/180*1*(-19)\/((-760)\/(-624))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**3*z**8*(z*z**(1\/3))\/z*z\/(z\/(z\/(z**(-6)*z))))**(-49) assuming z is positive.\nAnswer: z**(-2548\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 886683659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -5 + 15. Suppose 4*z + 5*l - 96 = 0, -w*z + 105 = 4*l - 6. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -233182*h**3 - 19*h**2 - 4*h - 414.\nAnswer: -1399092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2219264, -2219053, -2218842, -2218631, -2218420?\nAnswer: -2218209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 107929 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of -110*i**6\/3 + i**2 - 84*i - 735. What is the second derivative of z(h) wrt h?\nAnswer: -4400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of 2*x**7\/105 + 8*x**5\/15 + 18*x**2. Find the third derivative of w(h) wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 438248 divided by -54781.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2137553.\nAnswer: 11, 194323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2477128, 5, 1 in descending order.\nAnswer: 2477128, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 86803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2*j**2 - 7*j - 7. List the prime factors of x(8).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11136443303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -137 + 264. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*y**2 - 4*y**2 - 54*y - 4*y**2 to f + o*y**2 + m*y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*x - 498591 - 941180 = -152838. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (27 + (-35574)\/1113)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 2 i, and 1 u when four letters picked without replacement from {o: 1, j: 2, i: 1, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47 + -83. Let w be (-9)\/(-1)*(-412)\/r*3. Suppose 7*h - 9*h = 5*i - 583, h = i + w. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 229.189 to 0 decimal places.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i - 13. Let d be m(12). Let x be 34*(-438)\/84 + d. Let p = 178 + x. What is the third smallest value in 2, -0.1, p, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5446.\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -19*d**3 - 72*d**2 + 7*d - 39. Give y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6*1\/(-3))\/1. Let p = -0.07 + 5.07. What is the biggest value in p, 0, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -4*c**3 - c**2 + c + 1. Let q be i(-1). Let n = -55 - -116. Suppose 7 = 2*j - 2*u - 15, n = q*j + 4*u. What is the remainder when j is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 3*t**2 - 4*t + 11 - 7*t - 7*t. Let f be o(11). What is the highest common factor of f and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 12) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - 7) + (0 - (5 + (1 - -1)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (41\/287)\/((-1 - -2)\/4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + -1 + 5 + -3. Let b(o) = -3*o + 3*o - o - 5. Let t be b(-4). Let q(g) = -g - 1. Let z(n) = -2*n - 2. Calculate f*q(l) + t*z(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 + 656 = 9*p. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-92)\/(-143) - (-2)\/(-11). Which is greater: 2\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 377250773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 + -2)\/((-161)\/42 + 3). Let t = -10 + 16. Let g(f) = -3 + t - f + 7 + 1. Determine g(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 218*r**2*s**5 - 12*r**2*s**2 - 99*r**2*s + 275*s wrt s.\nAnswer: 4360*r**2*s**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 49506770 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2 is divided by 0\/(-1) - 1*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -4*w - 4. Suppose 5*r + 0*r = -3*n + 13, -5*n = -3*r + 1. Suppose -4*a = c + 4*c - 36, r*a = -c + 12. Give z(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -324 by -13851.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 - 1. Let f(i) = i**4 + 2*i**3 + 36*i**2 + 2. Suppose -11 = -2*q - 3. Let c(z) = q*x(z) + 2*f(z). What is the third derivative of c(v) wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/4)*k*k**(1\/8))\/((k*k\/k**(-2))\/k*k**7)*(k**(-3\/7)*k\/(k**8*k*k))**(-50) assuming k is positive.\nAnswer: k**(25917\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7, g: 3, l: 3}. What is prob of picking 2 l and 2 n?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/4))**(-7)\/(o**(-5))**(-2\/55) assuming o is positive.\nAnswer: o**(-85\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -371*m - 1 - 6*m**2 - 280*m + 601*m + (-m + 2*m + 0*m)*(m + m - m) to v*m + n*m**2 + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 477629932.\nAnswer: 2, 13, 9185191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 6 + 3*k + 11*k + 13*k + k. Is g(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 70849921246 + 3.\nAnswer: 70849921249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -641.8384 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69 is divided by 67?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {m: 9, i: 2, z: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*r + 3*r - 2*r)*(-5 - 7 + 8)*(3 + 1 + 5) to the form u*r + k and give u.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - x + 36 = x, -5*x = 2*g - 42. Let z be 3*-9*(-13 + g). What is z rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*a + 7 - 4*a**2 + 3*a + 5*a**2 + 11*a as q*a + r*a**2 + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8205771 a multiple of 1782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 163 = -173. Let w(t) = -t**3 + 45*t**2 + 25*t + 1014. What is the least common multiple of m and w(46)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*w = -w - 32. Is -1\/580 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18\/(-27) + (-8)\/(-14). Let m = -0.025 - -0.955. Let n = m - -0.07. Which is the smallest value?  (a) g  (b) n  (c) -0.5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 8, -4 in decreasing order.\nAnswer: 8, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -436*v + 425*v + 3309542 + 6846065. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110221 (base 3) to base 16\nAnswer: 15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (-4 - -8) - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g**3 + g + 1. Let o be v(-1). Suppose -5*y + 38 = -3*p - 25, o*p + 29 = -y. What is the units digit of p*(-3 - -1)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 43103003114 - 12?\nAnswer: 43103003102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 379033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (246\/(-3) - -3)\/((-167)\/334). Which is smaller: a or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 13 - 1. Suppose 32 = -y*k + 5*k. What are the prime factors of k\/24*(-99)\/(-2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -64 + 78. Let w = -0.01 + -0.19. Which is the second smallest value?  (a) x  (b) 0  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1675404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -314, 0.25, 463 in decreasing order.\nAnswer: 463, 0.25, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49912463*l**2*u**2 - 43*l**2*u - 95407*u wrt u.\nAnswer: -99824926*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 50954022902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2836 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h = -4*t + 4, -2*h + 128983 = 4*t + 128979 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 - 1. Let o = 589 - 591. Put o, 1\/3, d in increasing order.\nAnswer: o, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 68897.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -44 - 426. Let n = u - 88. Let h(b) = -6 - 8 - b - n + 6. Determine h(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 514 divided by -257\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-30))\/((-9)\/(-180)*-28)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15624 by -21.\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 6*d**2 + 39*d + 13. Let i(w) = -2*w**2 - 13*w - 4. Let z(k) = -7*i(k) - 2*p(k). What is z(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 + 26 + -47 - 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1060\/(-120) - -9)*(-66)\/(-1). Let h(b) = -30*b**3 - 1. Let k be h(-1). Let p = w + k. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 591 - 456. Calculate the lowest common multiple of 210 and q.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1023\/(-62))\/((-396)\/1512)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 117 + -764. Let l = -647 - x. Determine o, given that l*o + 1\/2*o**3 + 0 + 3\/2*o**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-5) - (-2)\/(-10). Let c(o) = -o**3 + 2*o**2 + 2*o + 1. Let y be c(z). Solve -5*q = -2*m - 28, q - 6*q = y*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -13*m + 160. Differentiate -16*g + 30 - 16 - m with respect to g.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 5*h**2 - 13*h - 1. Determine z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r + 4*a - 191, r - 15*a + 28*a = 18*a - 232 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p + 5*x - 60, -3*p - 14*x + 9*x = -75. What is the lowest common multiple of 24 and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 6*q**2 - q + 1. Let s be d(-1). Suppose 2*r + s = -2*r. Let o be r*3*2\/30. Is -1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2 + 25*b + 14. Let o be p(-12). Is 24 a factor of 325\/o + (-3)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.6 - 2.7. What is the second biggest value in r, 3, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 50557435 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-327)\/(-18) - (-9)\/(-54). Let x be 5\/(-2)*(-6)\/5. Suppose -4*c = -2 + 10, y = f - x*c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1319)\/26380*(-24)\/(-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/215344 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*x - 30*x = 39*g - 10*g + 656 - 259, 0 = -5*g - 46*x + 119 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4001 + -223?\nAnswer: 3445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4642 + 4643. What is the closest to 1 in -2, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(256)\/(sqrt(64)\/sqrt(8)) - (sqrt(1152) + -1))**2 - 1*(-2 + -1*sqrt(32)*1)) + -3.\nAnswer: -36*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 102 - 100. Calculate the lowest common multiple of i and 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/8)\/((-4)\/(-96)). Let g be 8\/(-6)*(-75)\/10. Let f be d\/g*(-50)\/(-20). Sort -5, f, 5 in decreasing order.\nAnswer: 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.110905mm to meters.\nAnswer: 0.005110905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = g - 2. Let f(q) = 2 - 3*q - 25*q**2 + 0*q + 24*q**2 - 24*q**2. Let p be f(g). Round p to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 5:25 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1\/(-4))\/((-783)\/387 - -2) and 44\/359?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -158 divided by -79?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 6 = -0*a. Suppose 6 = 2*i - 0. Solve i = o - a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/357  (b) -1\/3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29058538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3029*b**2 + 4*b + 122?\nAnswer: 6058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.126845053 rounded to 3 dps?\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**1*l**(-3)*l**(-6)\/(l\/l**(-1\/2))*(l*l*l**3)\/l**7*l**7\/l**(1\/4) assuming l is positive.\nAnswer: l**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-14) + (-35)\/147?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6804 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*i + 4*i + 2310 = 0. Calculate the least common multiple of 4 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/4 - 60\/16. Suppose 12 = -2*c + 3*m, 5*c + 4*m = 3*m - 13. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/2 + 95853*h\/2 + 47927.\nAnswer: -(h - 95854)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/3?  (a) 4  (b) -18  (c) 3  (d) 2  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, 0.06, -0.02, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**3 + 13200*a**2 - 11616000*a + 3407360000.\nAnswer: -5*(a - 880)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 1331096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1459 is divided by 105.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1080 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 559375.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 277 = 4*f, 5*v + 317 = 13*f - 17*f. Let k = 77 + f. What is the smallest common multiple of 1\/2*(2 - -2) and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {y: 4, r: 1, v: 6, o: 1, t: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1944) - (3*sqrt(1944) + sqrt(1944))*-1)\/(sqrt(300) - (sqrt(300) - -1*sqrt(300))*-2).\nAnswer: 9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 113 + -114. Let c be (-1)\/(1\/(-3)*p). Is c\/(12\/16) - -2441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-1)*z)\/z*z)**(2\/51)\/(z**(-1\/5)\/(z*z**(-3))) assuming z is positive.\nAnswer: z**(-449\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -37 + 39. Suppose -j = k - 12. Let c be ((-20)\/(-250))\/(8\/k). Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31\/(-4) - -15*96\/160\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n - 24 + 79 = -71 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 8 = 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1144 - 1147 - c + 2291.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4256 (base 7) in base 4?\nAnswer: -113213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -18577.847 rounded to 0 dps?\nAnswer: -18578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 2c4671?\nAnswer: -2c4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5281899879.\nAnswer: 3, 1760633293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5\/3)\/((-3)\/9). Let o be q + 1\/((-1)\/(-2)). Suppose -6*i - 8 = -4*i. Which is smaller: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - ((9 - 3) + -10 + 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0\/(-2) + 11173\/(-1110). Let h = y - 26\/111. What is the common denominator of h and -4\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1544904623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 308\/(-539)*2\/4. What is the closest to -1\/2 in u, -3, 0.31, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 230842 and 22?\nAnswer: 2539262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005 times 124.01?\nAnswer: 0.62005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 6*s**2 + 14*s + 1. Let d be n(-7). Suppose 0 = -28*k + 26*k + d. What is the highest common divisor of 108 and k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 27*v = 52. Let m be (-649)\/1652 + v\/8. Let t be ((-4)\/6)\/((-2)\/(-3)). Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1758938072, -1758938068, -1758938062, -1758938054, -1758938044?\n\"Answer: q**2 + q - 1758938074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-4\/3))\/(v\/v**(2\/9))*(v\/(v*v*v**3))\/v**(3\/2) assuming v is positive.\nAnswer: v**(-119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 327*b**3 - 2*b**2 + 164*b wrt b.\nAnswer: 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -230.8 and 15.3435.\nAnswer: -215.4565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -102 - -103. Put a, 19, -4 in increasing order.\nAnswer: -4, a, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 966*q - 10536. What is s(11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7\/4?  (a) -0.07  (b) 0.5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 PM and 5:05 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 - 348*p + 6281. What is a(19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 7*x**2 + 4. Let q(z) = -19*z**2 - 8*z**2 - 124 + 109. Determine -4*q(c) - 15*t(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 5*x - 8. Let v be 1*(-2*3 - 0). Let q(k) = 16 - 2*k + 24 + k - 59 + 18. Give v*q(p) + h(p).\nAnswer: p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, d: 1, b: 4, p: 7, s: 2, g: 4}. Give prob of picking 1 s, 2 b, and 1 g.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2030676 and 676892?\nAnswer: 2030676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 8*i = -6. Let l = 0 + 0. Suppose l = -4*g - g. Solve 4*q + 6 + i = g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 3*v - 15. Let t be i(6). Calculate the common denominator of 99\/8 and t*(2 - (-155)\/(-48)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 577*n - 143*n - 148*n - 145*n - 142*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.74 + -0.26. Let i = g - 0. Which is smaller: -1\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1008) - 3*sqrt(1008)*-1.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**4 - 408540*j**3 + 6*j**2 + 1225624*j + 817080 = 0. What is j?\nAnswer: -204270, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*j + 37*j + 7070307 = 1865316. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - -6*(-5)\/(-10). Let a = 35 - -37. Suppose -2*n = t + 2*n - 6, f*t - n - a = 0. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 454163367 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 9:32 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p = 6*p + 3*w - 90, 214 = -5*p + 2*w. Which is smaller: -85\/2 or p?\nAnswer: -85\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c - c**4 - 2\/3*c**2 + 0 + 7\/3*c**3 = 0 for c.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 7*o**2 - 6*o + 5. Let x(a) = a**2 - a. Give 6*x(b) - z(b).\nAnswer: -b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 660274 is divided by 1191.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46588 and 34466.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 1 + 3. Let d be z\/(-1) - (-6)\/3. What is the first derivative of 1 - y**d + 0*y**3 + 4 wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 0, 0*n - 2*n = -4*m + 8. Sort m, -1, -3 in descending order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 400254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2059921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47120 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 2*j + 10, j = 4*y - 4*j - 28. Let k(d) = -d**2 + 3*d + 7. Let l be k(5). What is the units digit of y + 24 + 1 + l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of 46*a**3\/3 + a - 433. What is n(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 - 7*b + 2. Let l be n(-7). Let w(a) = 3*a + 3 + 4 - l*a. Calculate the smallest common multiple of 22 and w(-3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -2*h + 77. Let x be q(0). Suppose -m - 5*u + 5 = -6, -3*m = 4*u - x. Let k = 100 - m. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - 2*m - 2. Let d be u(2). Let n(c) = 8*c + 86. Let h be n(-11). Is d bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12560 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4647 - 99*l**4 - 4647 + (-1 - l**4 + 1)*(3 + 0 - 2) - l**4 - 26 + 30 + 4*l**4.\nAnswer: -97*l**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*o**4\/7 + 8*o**3\/7 + 156*o**2 + 1080*o\/7 = 0. What is o?\nAnswer: -15, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 8, -4, 0, 82 in decreasing order.\nAnswer: 82, 8, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -498885474 divided by 27966.\nAnswer: -17839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + s = -3*l + 18, 0 = 4*s - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 72694595087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-10) + 132\/30. Solve 3*n - z*n = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 8:14 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1489\/6195 - 2\/885. Let r be (-1)\/14*32\/(-6). Let w = r - v. What is the second biggest value in 0.1, w, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5024 and -52.02628769.\nAnswer: 4971.97371231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -29  (c) 46  (d) -1  (e) 67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qrqqrqrqrtt. Give prob of picking 1 t, 1 q, and 1 r.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 36*o**2 - 1. Suppose -3*q = i + 4, i - 2 = -0*q + 3*q. Is y(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -16*t - 287. Let u be p(-19). Solve -s - 4*j = -0*s - u, 19 = -3*s + 2*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -6*h + 77. Let n = 0.421 - -1.409. Let v = n + -0.83. Which is the second biggest value?  (a) h  (b) 2\/13  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 + -12. Let v = q + -7.01. Let n = -0.31 - v. Which is the closest to 1?  (a) n  (b) -5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + 0.0284\nAnswer: -0.2716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 4\/(-16) - (-2120)\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + 2 - 10 - x + (-5 + 4 + 3)*(3 - 3 - x) + x + x + 2*x.\nAnswer: x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3, 0.3, -1\/409?\nAnswer: -1\/409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -62 - -99. Suppose -2*b - 13 = -v, -v + 5*b = -26 - 2. Suppose 3*d - 4*d + 6 = c, -v*c - d + 24 = 0. Solve 6 = 3*h - 3*l, c = 4*h + 5*l + z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 251849?\nAnswer: 13, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(2\/11))\/((u**(2\/5)\/u)\/u))\/((u**(-5)*u)\/u**(-2\/15))*(u**0*u*u**(2\/13))\/(u**(-2\/3))**(-11) assuming u is positive.\nAnswer: u**(226\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the third derivative of 2*c**2 + 8 - 7\/3*c**3 + 1\/3*c**4 + 0*c. What is the derivative of z(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*m + 108 = 100*m. Suppose -m = -5*t + 2*j, -4*j + 6 = 5*t - 3*t. Calculate the remainder when 29 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -12*i**3 - 19*i**2 - 3*i + 9. Calculate the remainder when c(-3) is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -7 - (-456)\/36 - (-1)\/3. Suppose -3*q + 3349 = 5*y, -3 = -3*y - d. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of -g**4\/4 + 2*g**3 + 7*g**2\/2 + 10*g - 2. Let c = 12 + -5. What is the tens digit of f(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1531975273 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 3, -200 + 194 = -2*r - 4*p. Solve 0 = r*f - 4*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25387 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(12) - ((sqrt(12) - sqrt(120)\/sqrt(90)) + sqrt(12))) + (sqrt(48)\/sqrt(2))\/sqrt(2))\/(sqrt(8)\/sqrt(2)*-2 - -3*sqrt(576)))**2*6.\nAnswer: 1\/578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 454510 divided by -302\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d. Let u(i) = 3*i**2 + 139234. Give z(u(x)).\nAnswer: 3*x**2 + 139234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1046, 468, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*(r**(-10)\/r)\/r*r)**8*(r*r*r\/r**(-1\/2)*r)**(-13\/6))**4 assuming r is positive.\nAnswer: r**(-359)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 + 39*v**2\/2 + 4373*v\/2 + 273.\nAnswer: -(v - 26)*(v + 21)*(8*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 5974203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**3\/5 - 144*h**2\/5 + 3076*h\/5 - 13104\/5.\nAnswer: -4*(h - 9)*(h - 7)*(h + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 - 22 = -7*z. Let r(v) = -3*v - 9. Let m = 14 - 18. Let p be r(m). Solve 2*u = -z + p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - -3. Calculate the remainder when 39 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m + 31*m = 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 73 (base 8) to base 4\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 393437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c + 1. Let o(y) = 1. Let g(w) = 6*o(w) + u(w). Let z(d) = -d**3 - 4*d**2 + d + 56. Let r be z(3). What is g(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1903*n + 1903*n + 2*n**2 - 2*n**2 - 14*n**3.\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {e: 2, b: 8, x: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4184, -4 in increasing order.\nAnswer: -4, 0, 4184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {v: 1, k: 2, t: 1, j: 7, h: 1, e: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 81 and 702?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q - 1. Let l(s) = s**3 + 11*s**2 + 10*s + 1. Let i be l(-10). Let n(c) = 1. Let a(r) = i*v(r) + n(r). Let d(u) = -7*u. Give a(d(j)).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 20473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1322, 1325, 1330, 1337, 1346?\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15*u**3 + 43*u**2 - 1097*u.\nAnswer: 90*u + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 500, 452, 556, 962, 1820, 3280, 5492?\n\"Answer: 25*q**3 - 74*q**2 - q + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*b**3 + b**3 - b**3)*(-7 - 5*b + 7)*(7 - 26 - 12) to the form c*b**2 + y*b**3 + q + z*b + i*b**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((sqrt(27) + 3)**2 - (0 + sqrt(12))**2))*1.\nAnswer: 29 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 5*f + 4, -f + 190*v + 37 = 185*v. Put f, 37, 11, 0 in increasing order.\nAnswer: 0, f, 11, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56079864 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-104)\/(-117))\/((-1)\/(-9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c + 4*u + 17, u - 102 + 43 = -5*c. Let y = 6 + c. Calculate the smallest common multiple of y and 152\/16 - 6\/(-4).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6266127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 3*i - 15 = 0, 53 = 4*p + 3*i + 59 - 21 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 793*b - 5. Let k(f) = 794*f - 4. Let j(s) = 6*k(s) - 5*y(s). Let q = -31 - -32. Let z be j(q). Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/14 and 61\/1124304862.\nAnswer: 7870134034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 26 = -5*s, 2*i - 16 = 2*s + 2*s. Sort s, -2\/15, -1.2 in increasing order.\nAnswer: s, -1.2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2 from -353.8130936098.\nAnswer: -355.8130936098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4575 (base 14) to base 12\nAnswer: 6b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5502, 10924, 16346, 21768, 27190, 32612?\n\"Answer: 5422*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gwgwgwgg. Give prob of picking 2 g.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - -41555)*(-7 + 720\/100) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of i**8\/8 + 59*i**7\/14 + 1073*i**4\/6 - 3603*i. What is the third derivative of c(v) wrt v?\nAnswer: 840*v**3 + 10620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a + 273 - 353 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 7, -239, -9.\nAnswer: -239, -9, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kvkk when four letters picked without replacement from {v: 1, k: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-2*(1*sqrt(275) - sqrt(275)))**2*-5 - ((sqrt(275) - (sqrt(275) + 2)) + -3 - (sqrt(275) - (sqrt(275)*2 + -1)**2)))*6.\nAnswer: -6576 + 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(35)\/(sqrt(7) + (sqrt(567) - 2*sqrt(567))) + sqrt(5) + sqrt(245) + sqrt(245) + sqrt(245)*2 + -3))**2.\nAnswer: -693*sqrt(5) + 267381\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1751138833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4240788819 - -4158981380.26. Let n = 81807354.73999889 + o. Let b = -84 - n. Round b to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -88?  (a) -0.3  (b) 1.3  (c) 4  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -16*q - 1406 + 1406. Let h(o) be the second derivative of -o**4\/12 - 54*o. Give h(u(a)).\nAnswer: -256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 1649800 to the nearest ten thousand.\nAnswer: 1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -0 + 3, 3*t - 5*y - 7 = 0. Let w = -94 + 284. Suppose -183 = -3*q - k + t*k, -3*q - 4*k + w = 0. Calculate the remainder when q is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s + 9*s + 28*s**2 - 114 - 3*s.\nAnswer: 28*s**2 + 3*s - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1409 - -1491.1. Let x = m - 82. Which is the nearest to -1?  (a) x  (b) 1\/9  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-5))**(3\/10) assuming z is positive.\nAnswer: z**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(32) + (0 + sqrt(32) - sqrt(32)) + 1.\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 198 = -2*i. Let d = i - 40. What is the highest common factor of d and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (16 + 0)\/(-17 + 18). Let v = -2 - -5. Suppose s + c - 11 = 0, -5*c + 27 = v*s - 4*c. What is the greatest common divisor of s and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -56 - -1253. Calculate the highest common divisor of k and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31 - -21. Calculate the highest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ixjgqxx. What is prob of picking 1 q, 1 j, 1 g, and 1 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*t**5 - 1325*t**4 + 1325*t**4 + (6 - 1 - 1)*(t**5 - 4*t**5 + 2*t**5) + 2*t**5 - 2*t**5 + 2*t**5.\nAnswer: 13*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*d**2 + d**2 - 7*d**2 - 5*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 427 from 2.87214.\nAnswer: -424.12786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21500773 and 21500773.\nAnswer: 21500773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 3 = 5*r - 18, -4*r + n + 19 = 0. Suppose 5*u + 61 = -3*l + r*l, -4*l + 57 = 3*u. Put l, 5, 3 in descending order.\nAnswer: l, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1508 and 40183.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, u: 1, i: 3, e: 4, q: 1}. Give prob of sequence iz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16704 divided by 4176.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11030103 (base 4) to base 6.\nAnswer: -242243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-260)\/52 - (6032\/(-143))\/8\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 435988.\nAnswer: 2, 7, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7291*h**3*s**3 - 18*h**3*s + 860805*h**3 with respect to s.\nAnswer: 21873*h**3*s**2 - 18*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.927 - -0.073. Which is the nearest to -2\/5?  (a) m  (b) 5  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1523, -1330, -1045, -668?\n\"Answer: 46*k**2 + 55*k - 1624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 12 = 4*b. Let t(p) be the second derivative of p**5\/20 - 13*p**4\/12 + 13*p**3\/6 + 17*p**2\/2 + 31*p - 2. Does 29 divide t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5047369 is divided by 2090.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.42 - 16.58. Let t = -16.81 - y. Let i = t + 0.11. Put -6, i, 4 in descending order.\nAnswer: 4, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d - 11. Determine f(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1.413, 0.3, -23, -0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*f - 122. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 35 - 18*g**3 - 38 - 12*g**3 + 9*g**3 wrt g.\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-5)\/(b**1\/b)*(b*b\/(b\/b**0)*b*b)**(-1\/25) assuming b is positive.\nAnswer: b**(-128\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 - 4. Let d(u) = -7*u + 7*u - u**2 - 5. Let o(c) = -4*d(c) + 6*q(c). What is the derivative of o(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**3 - 3*m**3 - m**3)*(2 - 3 - 1) - 9*m**3 + m**2 - 3*m**3 + 10*m**3 + (0*m - m**2 + 0*m)*(0*m + 5*m - m).\nAnswer: -4*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/3104 and 3\/40?\nAnswer: 15520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -332305 + -101?\nAnswer: -332406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -29*q + 301 - 11 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 280*v - 20. Suppose 5*p + 3*x - 31 = 0, 2*p + 4*x + 2 = 20. Let l be d(p). What is l rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/3 - 1031*a\/3 + 4108\/3.\nAnswer: (a - 1027)*(a - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -1 - (-14 - -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 27716 + -5c8?\nAnswer: 2713d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s, 1 c, and 1 j when four letters picked without replacement from {j: 11, s: 7, c: 2}?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 55 in 0.3, 3, -2, 55862, 3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2677.311ml to litres.\nAnswer: 2.677311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*p + 101*p + 85*p - 435*p + 76*p + 84*p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 4*c**2 - 8*c - 4. Let s be j(6). Suppose 0 = -0*h - 4*h + s. Let f(y) = -y - 1. Let m be f(-6). Solve -4*v + 3*u = h, v - 1 = -2*u - m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + f**2 - f - 1. Let t be z(-1). Suppose 206*o = -286 - 332. Which is the nearest to t?  (a) 2  (b) -5  (c) -0.1  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h + 4. Let t be k(0). Suppose -b = t*b + 10. Let z be -2 + 0 + (-6)\/3. Sort z, 4, b in increasing order.\nAnswer: z, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 113267?\nAnswer: 7, 11, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*r + 59*r = 20. Let g be 6\/(-27) + (-38)\/(-9). Put -1, g, r in ascending order.\nAnswer: r, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 + 3*c**2 - 4*c - 5. Let t be i(-4). Let l be -15*((-10)\/(-6))\/t. Suppose 3*q - 2296 = -l*a - 314, 400 = a - 3*q. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1421122 (base 6) to base 3.\nAnswer: 11002120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35 - -81. Let w be 1\/8 + 0\/j. Let g be (-2)\/(-6) + 0\/(-1). Sort -2\/15, w, g, -1\/3 in increasing order.\nAnswer: -1\/3, -2\/15, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197404 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -177 - -147. Let l be (-80)\/t*3\/6. What is d in -2\/3*d**2 - 2\/3 - l*d = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/7, -2, 2\/3, -0.08, 0, 9 in decreasing order.\nAnswer: 9, 2\/3, 1\/7, 0, -0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*w - 9*w. Suppose w = 113*x - 106*x - 735. Is 106 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 128*n**2 + 3836*n + 342. What is w(80)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 73.958 + 0.042. Let r = 73.999605 - z. Round r to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85286725 divided by 439?\nAnswer: 194275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 10 + 2)*(-1 - 2*b + 1) - 112 + 305*b + 112 + 2*b + 0*b - 4*b to the form a + w*b and give w.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**4\/24 - w**3\/3 - 2*w**2. Let b be s(7). Suppose -x = -4*h - 5, -22 = -2*x - 3*h + b*h. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2303202 (base 4) in base 8?\nAnswer: -26342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4656 by 3.\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*j*q**2 - 2*j - 1755*q**3 + 2603 with respect to q.\nAnswer: -6*j*q - 5265*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*b - 5*b - 20. Suppose 0*o + 30 = b*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: Sort 5, 8868, 0, -4.\nAnswer: -4, 0, 5, 8868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12379 by 2.\nAnswer: 12379\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 581, 638, 807, 1148, 1721, 2586, 3803, 5432?\nAnswer: 7533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 112 and 1988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 20*i**2 - 30. Let v(z) = -z**2 + 1. Give -30*v(t) - w(t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + j + 7, 0 = -4*s - j - 2*j - 7. Let b be s\/(-7) - (-198)\/252. What is the closest to b in 1, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-79)\/(241740\/(-120)) + 77\/204.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 77 = -2*o, 2*o + 4*i - 37 - 43 = 0. Find the second derivative of -4364 + o*v - 40*v**2 + 4364 wrt v.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -367 + 627. Suppose 0 = -7*b - 6*b + y. Calculate the greatest common divisor of b and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 905756 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*u - 28*u - 126. Which is the second biggest value?  (a) 0.06  (b) 0.5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -25*n - 95. Let y(i) = i**2 - 51*i - 189. Let q(d) = 5*w(d) - 2*y(d). Let g be q(-7). Are g and -32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -222*c**2 + 18591*c + 4794. What is z(84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -27151*m**6 - 300011*m**2.\nAnswer: -3258120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 6046*q + 2763*q + 9438*q.\nAnswer: 18247*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*s + 1357 - 3316 - 1583 = 0 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 19257, -9 in increasing order.\nAnswer: -9, -3, 19257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6*(-12690)\/4700?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.09, 0.2, -1\/4, -10, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 2*sqrt(3)*5 - (sqrt(21) + (sqrt(21) - -5*sqrt(1029)))\/sqrt(7).\nAnswer: -27*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d + d - 3*d)*(-4*d**2 + d**2 + d**2) + (3 + d**2 - 3)*(-21*d + 10*d + 3 + 9*d + (0*d + 0*d + d)*(1 - 4 - 2)).\nAnswer: 3*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - 3)*(1 + 2 + 0)*(-192*z - 225838 + 225838) as v + y*z and give y.\nAnswer: 1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 76 = 991*b - 989*b, 48 = -19*b - 7*b + y - 6*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4  (b) 1396  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.89?  (a) -5  (b) 2.2  (c) -9\/4  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2177 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 - 0.2. Suppose 20*d + 50 = 70*d. What is the nearest to d in 2\/17, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(119)*1 - sqrt(119)) + sqrt(119))\/(6*(sqrt(7) + sqrt(28)\/sqrt(4))) - (-3*sqrt(17)*6 - (sqrt(102) + sqrt(102) + 1*sqrt(102))\/sqrt(6)).\nAnswer: 253*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2 + 109*g + 1062.\nAnswer: -(g - 118)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 3129.39 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 243  (b) 0  (c) 48.6  (d) -100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**5 + 2*u**5 + 0*u**5 + (-5*u**2 + 5*u**2 - 4*u**2)*(1 - 1 + 2*u**3).\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -893, -0.1, -1.\nAnswer: -893, -1, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, -1, -2, -5, 4 in decreasing order.\nAnswer: 4, -1, -2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 85715501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1. Suppose 3*u - 22 = -7. Let t(j) = j**3 - 4*j**2 + 3*j + 4. Let r be t(3). Solve 4*o + 2*w + 28 = g, r*o - u*w = 7*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -89 - -97. Suppose 0 = -4*h - 2*k + 54, -h + 3*k - u + 4 = 0. Calculate the least common multiple of h and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3556 and 28.\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 192, -1.63, 1.\nAnswer: -1.63, 1, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*i + 5*i - 26*i - 41 + 143 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l + 63. Calculate the smallest common multiple of b(-19) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 44 = 7*i, 11*v - i + 16 = 16*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107328.\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.2 + 4.5. Let v = 545 - 550. What is the nearest to n in 5, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l - r = -5*l - 909, 3626 = 4*l - r. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -8, -7, -6, -5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -71 or -217\/3?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*l**3 - l - 383*l**2 - 5*l**3 - 1 + 0 + 384*l**2 as p*l**2 + t*l + o + j*l**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) 4  (c) 49  (d) 88\/3  (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3636.1 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.344 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -100?  (a) 0.2  (b) -2\/3  (c) 0.5  (d) -53.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 0) + (-116 - -119) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 967091 take away -225643?\nAnswer: 1192734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12974\/1497*((-3)\/(-4))\/(4\/(-48))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 50542 smaller than 50542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 4 = 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/313677 and -55\/708687.\nAnswer: 3528552573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6466070953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*(-1 + -5*1). Suppose -x*k = -k - 35. Let t be k*-2*(-2)\/4. Solve 0 = -3*w + 2*v - t, w = -3*w - 4*v + 24 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) -5  (c) -3  (d) 0.4  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1670, 4385, 8896, 15197, 23282, 33145?\nAnswer: 44780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 14094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 + (15 - 13) + -5. Let q(c) = c**3 - c**2 - c + 4. Let j be q(0). Put -1, d, j, 1 in descending order.\nAnswer: j, d, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 219506684.7 - 232213?\nAnswer: 219274471.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*c**3*x**2 - 444*c**3 + 1877*x**5 - 2*x wrt x?\nAnswer: 6*c**3 + 37540*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -31 + 379*n**2 + 46*n**3 - 379*n**2 wrt n.\nAnswer: 138*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + 215991.\nAnswer: 215990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14 + 19 - (-48)\/(-9))*-93. Solve 0 = v*x - 36*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-11)\/(-3) - 4)\/(2\/(-66)). Let n = 95 - h. Let r = n + -31. 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(v) = 8*v**2 - 6*v. Let s(b) = -9*b**2 + 7*b. Let y(i) = i + 11. Let t be y(-4). Let m(o) = t*p(o) + 6*s(o). Let x(z) = 3*z**2. Give x(m(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2430 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1861233*x - 8195965?\nAnswer: -1861233","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60437.\nAnswer: 13, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19060 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 - 12*f - 10. Let o be x(13). Let w be o - (3058*-3)\/(-3). Let b = -726 - w. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s + 5. Let y(u) = -5. Let i(j) = -3*w(j) - 4*y(j). Let c(k) = 16*k**2 + 108*k + 74. Let g be c(-6). Let a(l) = 1. Calculate g*a(r) - i(r).\nAnswer: -3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1014699 divided by -687?\nAnswer: -1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 4*l - 104, -m + 6*l = l + 52. Let u = -148 + 232. Let b = m + u. What is the highest common divisor of 80 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 382619518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.4 - 2.6. Let u = -18 - -22. Which is the third biggest value?  (a) u  (b) 5  (c) z  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, h: 4, m: 2, s: 2}. What is prob of picking 1 o and 1 h?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 501\/7 + -72. Let d = -4.897 + 4.387. Sort d, 5, g in decreasing order.\nAnswer: 5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 + 764. Let i = -741.00487 + a. Round i to four decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - 232?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 2*g + 1. Let v be t(-1). Let x be (3\/3)\/(v\/(-3)). Suppose p + 5 = o, 3*p - 5 = -x*o + p. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + h**2 + 4*h. Let u be s(3). Let d(r) = -r**2 - 8*r - 9. Let p be d(u). What is the common denominator of -125\/6 and (-309)\/(-36) + 2\/p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of -149*l**4\/4 - l**3\/3 + l - 1. Let z be (-15)\/13 - (0 + (-2)\/13). Is x(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000996 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5613 - -5610. Put 0.2, 0.043, o, 7\/5 in increasing order.\nAnswer: o, 0.043, 0.2, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6 + 0 - (1 - -1). Suppose v*d + 7 = -21. Let a = -4 - d. Sort 2, 4, a in ascending order.\nAnswer: 2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -41*n + 18*n + 138. Let l(q) be the first derivative of -4\/21*q**3 + 0*q - n + 6\/7*q**2. Suppose l(x) = 0. Calculate x.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 10:23 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 40293571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b\/b**(-4)*b)\/b))\/(b\/(b**(-1\/3)\/b))*(b\/((b*b**(-7)\/b)\/b))\/(b\/(b*b**3)) assuming b is positive.\nAnswer: b**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1633896, 3268088, 4902270, 6536436, 8170580, 9804696?\nAnswer: 11438778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**4 - 3*y**4 + 3*y**4)*(-643 - 105 + 70 + y).\nAnswer: y**5 - 678*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -1 + (10 + 3 - 4 - -3) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*m - 5*m = -180 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3482367 and 1218?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33 + 79. Let s = g - 46.47. Let c = 1.03 - s. Round c to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 w when three letters picked without replacement from {t: 1, y: 2, w: 1, l: 3, j: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (33 - (-34 + 67)) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/6925, -2, -1\/3 in descending order.\nAnswer: 2\/6925, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -3*g**2 + 63*g + 60. What is m(22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 726 divided by -121\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -751?\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3651251 (base 7) in base 4?\nAnswer: 1301311133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.326 take away 1.4?\nAnswer: -1.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 21 = 4*d. Is ((-54)\/15)\/(d\/(-15)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 424 = 9*b - 4*b, z = -5*b + 108. Suppose g - p - p = -90, -5*g + p = 405. Let f = z - g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132 - 113 + 245 + 3*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*r**3\/4 + 446379*r**2\/2 + 1826276*r + 324672 = 0. Calculate r.\nAnswer: -8, -2\/11, 81168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 - (-66)\/(-15)) + 888\/20. Let g = 45 - l. Put 12, 0, g in descending order.\nAnswer: 12, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*i)*(-2*i**2 + 0*i**2 + 3*i**2)*((1 - 4 + 4)*(-6*i + i + 4*i) + 0 + 2*i + 0 - 56 + 101 - 44 + 114*i).\nAnswer: 230*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 12360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*b = -69*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -53034333 + -342?\nAnswer: -53035115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36.3 - -36.5. Put 3, 0.4, -0.4, p in ascending order.\nAnswer: -0.4, p, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 415672994*a*d**2 + 516*a*d + 2*a - 152*d + 29 wrt d?\nAnswer: 831345988*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 20 = -5*g, -4*q = -4*g + 6 + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 10*d - 4. Let x = -24 + 17. Let g be b(x). Let w = g + 128. Calculate the greatest common factor of 36 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 - 280*i + 17. What is w(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = c - 12. Let k = -2 - c. Suppose -5 = k*y - 15. Solve y*q - 2 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*g**5 - 4*g**2 - 12*g**5 + 0*g**2 + 6*g**2 wrt g?\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*i = 11*i + 300. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f**2 - 1019 + 508 + 0*f**2 + 508 - 50*f**3.\nAnswer: -50*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 1077340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w + 32 + 18 + 25 - 10 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1221 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 31784*-234\nAnswer: -7437456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*x**2 + 0 - 37*x**2 - 1 + 14*x**2 - x**3 - 9*x + 2*x**2 in the form l*x + c + m*x**3 + j*x**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 14 = -4*a, -11*a - 5*s - 134673517 = -134673440 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 570658 divided by -33\nAnswer: -51878\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24430.4 - 24430. What is the third smallest value in 0.1, z, -0.1, 1094?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0243 less than -1714158.827?\nAnswer: -1714158.8027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 247 in -0.3, 109, -4?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 69790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5416840*g**3*s + g**3 + g**2 + 7011*g wrt s.\nAnswer: 5416840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3206 + 0?\nAnswer: 3206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43420 (base 7) to base 5.\nAnswer: 321333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 235721 and 22577.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Solve -3551 + 3581 = 2*q - 10*x, -3*q - 5*x = 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -379515746 divided by 189757873.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(3\/7)\/p*p*p**4)\/(p\/(p*p*p**2)*p*p**(-7)) assuming p is positive.\nAnswer: p**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 8.1, 4, -5\/3, 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of -11\/300*w**6 - 3\/175*w**7 + 11\/15*w**4 + 29*w**2 + 8\/15*w**3 + 0*w + 0 + 17\/75*w**5. Determine p, given that q(p) = 0.\nAnswer: -2, -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62011962?\nAnswer: 2, 3, 3445109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 2*j**2 - 24*j + 41. Determine y(8).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9139944469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kgdd when four letters picked without replacement from {g: 2, k: 3, d: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 147 + -73. Let w = 77 - t. List the prime factors of (-1)\/(4\/(-588)*w - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 + 5*n + 5. Let a be 68\/(-18) + (-10)\/45. Let d be w(a). Is -1 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 867277*v**2 + 2833557.\nAnswer: 1734554*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 189513 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1055842347*k**3*v + k**3 + 93297*k - 2*v**2 + 17 wrt v.\nAnswer: -1055842347*k**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33 - -42. Let l be (-3)\/u + 106\/3 + 1. List the prime factors of l*(3 - (-45)\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + -20 + 26 + -30 + 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/17, -5, -37, 0 in increasing order.\nAnswer: -37, -5, -1\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1959 is divided by 1218?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - ((-3 - -1) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 8:13 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 953364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5927753990 to the nearest integer?\nAnswer: 76992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/55 and -41\/280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 439*f - 8339. Let y be h(19). Factor 10 + 16\/3*o + 2\/3*o**y.\nAnswer: 2*(o + 3)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 5*w - 55, -3*j = -5*w - 10 + 35. Let b be w\/20 - 24\/10. Let k = 5 + b. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of -a**4\/6 + a**3\/2 - a**2 + 29*a. Let n be k(-3). Let c = -33 - n. Let t(l) = l**3 + 5*l**2 + 3*l - 5. What is t(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/36 and (316\/(-21096))\/((-184)\/414).\nAnswer: 21096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91)*-1 - sqrt(91))\/sqrt(7) + (sqrt(39) + sqrt(156)\/sqrt(4))\/sqrt(3))**2 - (2*(sqrt(65)*3 - sqrt(65)))\/sqrt(5).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**4 + 139*l**3\/5 + 233*l**2\/5 - 135*l - 774\/5 = 0.\nAnswer: -129\/5, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 150 and ((-6)\/(-5))\/(44\/2200)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15\/16483 - 390115\/24131112. Calculate the common denominator of 11\/84 and i.\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -1\/64, -2\/13, 0.04 in increasing order.\nAnswer: -2\/13, -1\/64, 0.04, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - -11432?\nAnswer: 11414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.02 - -1.98. Let o = 2 + f. Which is the nearest to -2\/5?  (a) -2\/7  (b) o  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3973068?\nAnswer: 2, 3, 11, 79, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23*2\/10*(-12)\/(336\/(-140)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*c**2*d**2*g**2 - 59231*c**2*d**2*g + 2*c*d**2*g + 1427*c*d*g**2 - 3*c*d - 2*c*g wrt c?\nAnswer: 6*d**2*g**2 - 118462*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (348\/232)\/(370\/(-52) + 7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p**3 - 352*p**2 + 1396*p - 1392 = 0. Calculate p.\nAnswer: 2, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21658, -43391, -65338, -87613, -110330, -133603, -157546?\nAnswer: -182273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r - 193 - 106 + 33 + 364.\nAnswer: -2*r + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**4 - 1800*s**3 + 1524580*s**2 + 12281760*s + 24619840 = 0.\nAnswer: -758, -4, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -1077*r + 578. What is the remainder when f(-5) is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -27, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0010159207 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {s: 3, y: 2, q: 1, x: 1, d: 10, v: 1}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {u: 13, g: 5}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49018 is divided by 228?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 9:12 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 8*b - 2. Let g be l(6). Let t = 30 - g. What are the prime factors of ((-5)\/(-4))\/(5\/t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 3*s**2 - 4*s + 2. Let z be x(-4). Suppose -3*q - 3*k = -z*k - 5, -k + 9 = 5*q. Solve -5*j - 7 = 4*h, 4*h - q*j = -0*h + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*l**2 + 5*l**2 - 19*l**2 + (6 + 1 - 3)*(13*l**2 + 6*l**2 + 9*l**2).\nAnswer: 94*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 29*l = -25*l - 3, 0 = 3*r - 3*l - 18. Let b(v) be the second derivative of 13*v**3\/6 - 41*v**2\/2 + 2*v. Is b(r) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, i: 4, g: 3, x: 1, d: 1, a: 3}. What is prob of picking 1 d and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 68*t - 3799. Let z be y(56). Sort -2, 3, 18, z in descending order.\nAnswer: 18, z, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31 - 14. Let s = q - -63. Let l = s - 22. Sort -1, 0, l.\nAnswer: l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h = 12*h - 87469. Suppose 2179 = 6*z - h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1.4 or 0.0082?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 3:27 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -2*y**2. Let z(c) = 63*c. Give k(z(f)).\nAnswer: -7938*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -662 + 54003?\nAnswer: 53011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 85 + 3?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -3  (c) 37696278\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 - 18 = 2*g - r - 5, -g - 6*r - 70 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x**2 - 3*x + 2. Let a(h) = h. Give -3*a(n) - y(n).\nAnswer: -4*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of i**6\/75 + 2*i**5\/25 - i**4\/15 - 4*i**3\/5 + 9*i**2\/5 + 12*i. Factor r(a).\nAnswer: 2*(a - 1)**2*(a + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -225*m + 76*m + 76*m + 73*m - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -4*x + 173. Suppose 7*t - x = 2*t - 5*n, 30 = 3*t - 3*n. Let r = 4 - 0. Calculate the smallest common multiple of r and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 528263928*c**5 - c**2 + 3*c - 16537721 wrt c?\nAnswer: 31695835680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 235 and 752.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11046 is divided by 502.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ulullul. Give prob of sequence ulll.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 0.1  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 - 13*j + 4. Let o(m) = -m**2 - 27*m + 9. Let a = 18 - 31. Let p(n) = a*c(n) + 6*o(n). Let x(r) = 6*r**2 + 6*r + 2. What is 4*p(s) - 5*x(s)?\nAnswer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -13499*y - 12977. Calculate p(-1).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153 = 293*g - 167 - 559. Solve 0 = -2*b + 8*s - 10*s - 12, 0 = -g*s - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1331 - 1320. Calculate the remainder when 59 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b631 (base 13) to base 8\nAnswer: 61205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 352 - -102. Let r = h + -74. Is 38 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1999229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (24\/108)\/(1*-10*(-14)\/(-105))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.87607 - 0.876012503. Round l to six decimal places.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1257391 at most as big as -1257391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**(3\/2)*g)\/g*g**(-4\/3)*(g*g\/(g\/(g*g*g\/g**(-5))))\/(g*g*g**(-6)) assuming g is positive.\nAnswer: g**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 10\/9, -5, -15\/13073?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -4, -0.2, 0.4 in ascending order.\nAnswer: -4, -0.5, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/4 and -31\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 24 = 5*f, 11 = -3*q - 2*f - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 584*i**2 - 21*i + 4. Let c be b(7). What are the prime factors of 2 - ((-4)\/22 + c\/(-33))?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 515 and 3163645?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cecgggscceci. Give prob of picking 1 c, 1 s, and 1 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -92437 or -6193322\/67?\nAnswer: -6193322\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00050193 to 5 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-204)\/45)\/4 + 8\/60. Which is the closest to -1\/4?  (a) -4  (b) k  (c) 0.2  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 283580710?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 14283, 112226, 378063, 895740, 1749203?\n\"Answer: 13991*h**3 + h**2 + 3*h + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(126)\/sqrt(7) + sqrt(18)) + (sqrt(90)*5)\/sqrt(5) + ((sqrt(18) + -3)*-6 - (sqrt(18) + (sqrt(1152) + 4 + sqrt(18))**2 + sqrt(18))).\nAnswer: -1456 - 207*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7365310 by -39.\nAnswer: 7365310\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 10:34 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 5718857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1910512.\nAnswer: 2, 97, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -6*(2 + 0 + sqrt(3))*-4 + (((sqrt(27) - sqrt(3)) + sqrt(3))*3 + (sqrt(9)\/sqrt(3) + -1 - sqrt(3)))*-5.\nAnswer: -21*sqrt(3) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of -c**2\/2 + c - 1. Let z be g(5). Let k be (8\/(-30))\/(z\/10). Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 82*m + 33. Suppose -4*t - 2 = z, -5 + 0 = 5*t. Let o(c) = 40*c + 17. Let f(i) = z*u(i) - 5*o(i). What is the derivative of f(s) wrt s?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - -1. Let z(o) = o + x*o + 4 + 5*o + 4. Let f(k) = k + 1. Suppose -6 = -3*p, -s = -0*s - 5*p + 11. Give s*z(q) + 6*f(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -11102122020 (base 3) in base 16?\nAnswer: -154b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - (-3 + -1 + -4). Suppose 9 = w*a - 3. Suppose -4*p - a*s = -244, 0*s - 56 = -p + 2*s. What is the highest common factor of 150 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/6  (b) 0.3  (c) 64  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 179, 175, 171, 167, 163, 159?\n\"Answer: -4*u + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 - 148*k + 453*k - 154*k - 140*k)*(k + 2*k - 4*k).\nAnswer: -11*k**2 - 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -57 + 3?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2795*c - 2*c**2 + 2789*c + 3*c**2 + 9 - 2*c**2. Let i be y(-7). Solve i = 3*u - d + 13, 0 = -5*d - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1963352131.\nAnswer: 13, 6197, 24371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -y**2\/2 + 21*y - 258. Give p(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, c: 1, i: 1, n: 3, s: 1}. Give prob of sequence nic.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that r**3\/6 + 58543*r**2\/6 + 2181309*r\/2 - 6719565\/2 = 0.\nAnswer: -58431, -115, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 6:53 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-38)\/(-209))\/(12\/1518).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from wwwesswazazee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 - 158 = -388*n + 461. Solve -13 = n*k - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u**3 + u**2 - 2*u + 1. Let a be k(1). What is the common denominator of (-630)\/(-528) - (-4)\/22 and a\/4 + (-115)\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - 3. Let f = g + 8. What is the second biggest value in -3, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 317378064.\nAnswer: 2, 3, 353, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 5, v: 1, g: 9, m: 1, c: 1}. What is prob of sequence cm?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 521801794 + 179.\nAnswer: 521801973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 5 - (-74 - -57)) + -8 - 30?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*-2)*-3*5*3)\/(4*(sqrt(10) + -3*sqrt(10)) + (sqrt(10) - sqrt(50)\/(sqrt(5) - (sqrt(5)*2 + sqrt(5))))).\nAnswer: 270*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 120053 divided by -443\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -25964.53.\nAnswer: -12982.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 6*v**2 - 6*v + 7. Let g be x(7). Is g greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/9  (b) 0.5  (c) 1\/3  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*j + 11*j + 157*j**2 - 37*j + 17*j to the form x*j + f + r*j**2 and give r.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 8*o**2 + 12*o - 15. Suppose -74 - 58 = 6*m. Is j(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 44, -2\/5, -1, -41?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**31*f**1 assuming f is positive.\nAnswer: f**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - 8*u**2 - u + 2. Let z be (190\/38)\/(5\/(-2)). Let p(q) = -q**3 - 9*q**2 - 2*q + 3. What is z*p(m) + 3*k(m)?\nAnswer: -m**3 - 6*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - ((14 - 19) + 14) - (-11 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -274791, -274796, -274801, -274806, -274811, -274816?\nAnswer: -274821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, i: 5, n: 3}. What is prob of picking 2 i?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 67624 - 46376 = 0. Round x to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of w**3\/3 + 3081*w. Let n(j) = -1842*j**2 - 36*j. Let x(g) = 263*g**2 + 5*g. Let b(q) = 5*n(q) + 36*x(q). What is u(b(h))?\nAnswer: 516*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 - -3. Let p(s) = -s**3 + 7*s**2 + 3*s. Let m be p(7). Let y = x + m. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 - 4*g + 7. Let m be w(2). Let s be 69\/(-6)*((-6)\/m - 2). Let d = -42 + s. Calculate the lowest common multiple of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in 1.2, 23\/2, 5, -3, -4, -5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4738126971 to the nearest integer?\nAnswer: 68834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 - 17. Sort 3, h, 17 in decreasing order.\nAnswer: 17, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 15 = 0, -2*h = 3*n - 6 - 3. Suppose -9 = 3*t + 4*s - 6, h = -3*t - 5*s - 3. Which is the nearest to t?  (a) 0  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7336 + -7296. What is the greatest common divisor of n and 2460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -14  (b) -5  (c) -3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/3*z**3 - 26\/3*z**2 + 0 + 8*z = 0. Calculate z.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 200582?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 117858933?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**3\/j)\/(j\/j**(-7))*j**(3\/5)*j**(2\/7)\/j*(((j**2\/j)\/j)**6)**(-14) assuming j is positive.\nAnswer: j**(-214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56447 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + m**4)*(-19*m + 47*m - 20*m) + 396*m**5 + 71*m**5 + 46*m**5 + 1036*m**5 + m**5 - 3*m**5 + 4*m**5.\nAnswer: 1559*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, l: 3, o: 3}. What is prob of sequence oolo?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-273)\/(-28) + -6)\/(11730\/(-816)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (29 - -1)*258\/215. Suppose 12*r - 15*r = -n. Solve 6*f + r = -6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4506, 1\/11, 0.4, 0.05, 0.1?\nAnswer: 4506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011 - 111000?\nAnswer: -1010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3385 is divided by 1705.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/8)\/((-3)\/40*2). What is the third derivative of -37*d**c - 6*d**5 - 16*d**2 + 5 + 17*d**2 wrt d?\nAnswer: -2580*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 4*q**2 - 3*q - 4. Let y be ((-2)\/2)\/((-1)\/5). Let v be i(y). Let g = -21 - v. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.5370792 to 2 dps.\nAnswer: 6.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 8*l + 206. Let s be a(-25). Suppose s*z - 127 = -37. Solve -11*b - z = 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 15 = 6*v. Let j be (-24)\/v - (22\/(-10) + 2). Let h(p) = -p + 11. Calculate h(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -8*o - 4. Let d(w) = -9*w - 5. Give -6*d(p) + 7*z(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-1 - 0 - -1) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of j**2\/2 - 50. Let n(z) = 9*z**2 + 3*z + 2. Let v be n(-8). Let q(o) = 554 - 9*o**2 - v. What is w(q(i))?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-7)\/(-21))*(-103)\/1854.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 - 93. Let a = i - -45. Let l = a - -46. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -n - b, 0 = 3*b - 11 + 2. Let h be (3\/(-1) - -3)*2\/(-4). Suppose 5*q - 11 - 18 = z, 4*q - 4*z - 36 = h. Solve -n*t - q = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + p = -p + 21, 0 = 4*p + 8. Suppose 0 = -3*n + 4*w + 90, -w - 150 = -y*n - 0*w. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2929\/12 + 248. Let y = 1 + -11. Find the common denominator of ((-74)\/y)\/((-10)\/25) and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 16*w - 111. Determine o(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3098043?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 51449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 172 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 33465365 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 66351\/42280 + 6\/1057. What is the common denominator of l and -121\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 256, 0.67.\nAnswer: -3, 0.67, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-30)\/33)\/2)\/(115\/(-46))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + -249.7.\nAnswer: -267.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of -1 - 1\/2*o**2 - 12*o. Let q be -9*(29 - (-7781)\/(-279)). Give l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 2:22 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 65769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 546 divide 24036558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of 14*a + 1\/6*a**3 + 1 + 13\/4*a**4 + 87\/2*a**2. Differentiate h(c) wrt c.\nAnswer: 78*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-6\/7)*g*g\/(g*g*g**(1\/32)*g)*g assuming g is positive.\nAnswer: g**(-199\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/10032 and -197\/9120?\nAnswer: 100320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13961 + -6925. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zsz when three letters picked without replacement from {z: 19, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {v: 1, r: 11}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -8*1\/(44\/11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((((g**(11\/3)\/g)\/g*g)\/g)\/g))**38 assuming g is positive.\nAnswer: g**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 315.0328 rounded to 1 dp?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8878.8623 - -9015.87. Let u = p - 137. Round u to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 5*n = 27 + 19, -n = 2*o - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1440) - 1*(sqrt(1440)*2 + sqrt(1440))) + sqrt(1440) + sqrt(1440) + sqrt(1440)*1*-2)\/(((sqrt(120)*-2)\/sqrt(5))\/(sqrt(24)\/sqrt(2)*-1)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23512 is divided by 22307.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2*o**3\/7 - 201606*o**2\/7 - 6852292*o\/7 = 0.\nAnswer: -100769, -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 4*g + 52 = 0, h - g + 7 = 30. Let a be (18\/8)\/(15\/h). Factor -356*b**2 + 356*b**2 - 3*b**a.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1598 - 0.0598. What is the second biggest value in -6.5, 1\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 5*x = 170, -5*r + 70 + 70 = -5*x. What is the remainder when r is divided by 2 - (16\/(-1) - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -321, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16687901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -25, -24, -23, -22, -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18381200687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/3)*r)**(-5\/4)*(r*r*r**(-2\/7)*r)**(1\/3) assuming r is positive.\nAnswer: r**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 98553, 197115, 295661, 394185, 492681, 591143?\n\"Answer: -z**3 - 2*z**2 + 98575*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*f**3 - 2*f**2 + 14*f + 0*f**2 + 16*f - 28*f.\nAnswer: -69*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 4*l = 24, -5*o + 6*l - 2*l + 56 = 0. Let b(t) = -o*t + 1 - 1. Let d(j) = -3*j + 5*j - 2*j + j. Give d(b(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1155 = -12*s + 15*s. Suppose -8*x + 455 = 5*x. Calculate the greatest common factor of s and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v + 12. Let r be p(-9). Let y = 16 + -13. Suppose -4*t + 1 = -y*t. Sort t, 2, r in decreasing order.\nAnswer: r, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -101 + 189. Let y = 87.7 - o. Which is the closest to -4?  (a) y  (b) 0  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -55781915 divided by 2?\nAnswer: -55781915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 10) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*r - 78 = 67 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.2 + 5. Let j = x + 0. Let g = 12 - 11.6. What is the third biggest value in g, j, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 3349594.\nAnswer: 1339837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 6:27 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 119*w**3 + 9*w + 3. Let c(r) = -40*r**3 - 3*r - 1. Calculate 7*c(s) + 2*l(s).\nAnswer: -42*s**3 - 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*3*sqrt(187)\/(sqrt(704) - -1*sqrt(704))*-3.\nAnswer: -27*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f + 6. Let u be b(-5). Let q = 403\/23 + -81878\/4669. Let p = q - -17\/29. Which is smaller: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4801.925 rounded to the nearest 10?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 88655 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241578?\nAnswer: 2, 3, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12144 and 108537?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001090144 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -11. Let l = 16781 + -16781.4. Let u be ((-1)\/(-6))\/(2\/(-16)). Which is the nearest to -2\/3?  (a) z  (b) u  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130274113.\nAnswer: 130274113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6 + (-1528)\/(-4) + -6. Suppose j = i - 108. Is 49 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z**4\/3 + 742*z**3\/3 - 14525*z**2\/3 - 16742*z = 0. What is z?\nAnswer: -761, -3, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -44*k - 9. Let z be o(-7). Let n(r) = -150*r - 148*r + z*r. Let w(c) = 5*c**2. Give n(w(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 550 + -864. Let v = i - -386. Calculate the highest common divisor of v and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange g**2 - g**2 + g**3 + (-6*g**2 + 5 - 5)*(-2*g + g + 2*g) + (5*g - 2*g - 5*g)*(-5*g**2 + 2*g**2 + 5*g**2) to x + q*g**2 + f*g + j*g**3 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 23 + 364 = 4*l, -193 = -2*l + 5*i. Suppose -l = 20*v - 9. Put v, -17, -3 in decreasing order.\nAnswer: -3, v, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/(-2)*12*5. Let r be (0 - -2) + (-418)\/l. Let n(j) = 271*j - 11924. Let i be n(44). Is r at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tszv when four letters picked without replacement from {m: 4, l: 1, v: 3, s: 2, z: 4, t: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.9*0.125.\nAnswer: -0.1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = -4*a - 35, 2*f + 33 = -4*a + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvwvvvvvvvvv. What is prob of picking 1 w and 3 v?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*q + 2*q + 46, 3*q - 6 = 0. Suppose 3*n = 4*l - 3*l + 47, -i = -3*n + 4*l. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.268663245 rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 168144 divided by -56048\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3008)\/(-7070) + 1722\/(-105) + 16. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of 5*i**4\/24 - i**3\/3 + 3*i**2. Give z(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64677 or 646779\/10?\nAnswer: 64677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 677 + 3577 = -5*q, -3*q = -5*l + 7212. What is the greatest common divisor of l and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1030 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(7488) - (sqrt(7488)*-1)**2) + 2 - -4*(-4*(-1 + sqrt(117)) + -3).\nAnswer: -7481 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1522939, 1523088, 1523237?\nAnswer: 1523386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -8563, -17138, -25713, -34288, -42863?\n\"Answer: -8575*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 20443.2594 + 0.12419.\nAnswer: 20443.38359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6472 is divided by 6357?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7 + -3)\/((-2)\/(-4)). Let q be (5\/n)\/((-6)\/(-8)). Suppose -2*j + 20 = 2*j. Which is the nearest to q?  (a) 1  (b) -3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -737*u - 344*u + 650*u - 841*u - 1198*u to z*u + s and give z.\nAnswer: -2470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*12\/72*63 + -11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.45 + 0.55. Which is the fourth smallest value?  (a) h  (b) 4  (c) -0.04  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2 + 6*m - 41. What is j(17)?\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 4*l + 27, -9 = 4*b - 5*l + 27. Is 3\/9 + (-4470)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29921473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 298015354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-356)\/6 - (-5)\/30*2. Let r = 64 + l. Solve 0 = 5*a + r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2 and -7873\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 115.202 to the nearest integer.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/(-25)*(-1)\/(-2). What is the third smallest value in -1, s, -0.2, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*f**4*x + 186*f**3*x**2 + 133*f*x**2 + 3*f - x**2 wrt f?\nAnswer: 60*f**2*x + 1116*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-2\/83)*b)\/b*b\/b**19*b)\/(b**(11\/2)\/(b*b**(-23)\/b)))**(-40) assuming b is positive.\nAnswer: b**(151140\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2222 is divided by 159?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.1 and -537939.\nAnswer: 2205549.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2352 = 3*f - 7*f. Let q be (-3)\/(-5) - f\/70. Solve -6*r = -3*r + q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25714 - 25711. Let o(c) be the second derivative of 0*c**4 + 29*c - 12*c**2 + 14\/3*c**v + 0 - 1\/5*c**5. Factor o(f).\nAnswer: -4*(f - 2)*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1179 - -1129.1. Round m to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -99 * 33.\nAnswer: -3267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 142*p**2 - 2*p. Let n be d(-1). Suppose -13*q = -q - n. Solve k + q = 3*x, -x = -k - 5 + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -4*s + 240, 2*g - 4 = 4. Suppose 6*x = -s + 1. Let z be (x\/6)\/((-2)\/72). Calculate the highest common factor of 36 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/3955  (b) -2  (c) -7  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/13, 2\/11, 1583733.8, 1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*r - 14*r + 3*h - 8 = 0, -3*h - 8 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*c + 640 - 2416 = -29*c + 1680 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -166, -306, -450, -604, -774?\n\"Answer: -v**3 + 4*v**2 - 145*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -801707 rounded to the nearest one thousand?\nAnswer: -802000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4136, -520, 3096, 6712?\nAnswer: 10328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5511 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 5\/4, -0.08, 1\/11, -2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of h**3*r**4 + 2*h**3*r - 7512*h**2*r**2 + 3293*r**6 wrt r?\nAnswer: 24*h**3*r + 395160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 55531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 12 = -5*n - 42, f = 2*n + 11 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f - 8388 + 1597 - 5*f.\nAnswer: -7*f - 6791","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 4*y - 26, 5*o + 7*y = 2*y - 30. List the prime factors of (-4)\/(-12)*(-12)\/o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2660\/136009 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 56\/9 - 20\/90. Suppose -4*x = 4*k + 2 - w, 5*k - 4*x = 32. Solve -k*r + 7 = 4*t - 29, -r + 3*t - 11 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 7*m**2 - 7*m + 4. Let l be o(2). Suppose 31*b - l*b - 1105 = 0. Calculate the highest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -2*k**2 - 11*k + 8. Suppose 16 - 2 = -5*s + 4*o, -38 = 5*s + 2*o. Let c be p(s). Solve -1 = c*x - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1200*h**3*m**2 - 37*h**2 + 2*h*m**2 wrt h?\nAnswer: -7200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*u + 16 = 16*u + 6*c + 61, -u + c = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1992063 or -1992061?\nAnswer: -1992063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-261)\/(-754) + (-26)\/(-169).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5951 - -12577. List the prime factors of y.\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/16)\/((-26)\/(-52))*(-70)\/1225*4\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is a in a**4\/6 - 247*a**3\/3 - 997*a**2\/2 - 750*a = 0?\nAnswer: -3, 0, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 6*i - 16. Let n be b(3). Suppose 5*v = f - 17 - 1, -v = f. Suppose -2*w - 4*y - y = -6, 0 = f*w + 3*y - 9. Sort -5, w, n in decreasing order.\nAnswer: w, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 10*n**2 + n + 12. Let t be h(-10). Suppose -3*a - t = 4. What is the remainder when 57 is divided by ((-3)\/(-9))\/(a\/(-90))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 219 + -219. Suppose x = 3*u - 118 + 118. Suppose 1\/4*y**4 + u + y**2 - y**3 + 0*y = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 7*w - 2. Let g(b) = 18*b - 4. Let k(q) = 2*g(q) - 5*v(q). Determine k(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11965716 and 168.\nAnswer: 23931432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, q: 2, a: 1, h: 3, c: 3}. What is prob of picking 1 q, 1 h, and 1 a?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 481779107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 12*g**2 + 4*g + 2. What is the units digit of a(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -353574\/28771 less than or equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssdhssszshsshshsh. Give prob of sequence hh.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -12*u**4 - 12*u**2 + 577?\nAnswer: -48*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*g + 92*g - 54 = 35*g. Let v(o) = 2*o**3 - 13*o**2 + 7*o - 13. Give v(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8285241451 to the power of 1\/4, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(2 - (-1 + 1)). Suppose b = -4*m, 0 = -5*c + 2*m - 112 + 472. Let p(a) = 3*a**2 + 82*a - 161. What is the remainder when c is divided by p(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 less than or equal to -23313\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68107, 68103, 68099, 68095, 68091?\nAnswer: 68087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 + 4*r + 2. Let v be y(-3). Let k be -4 - ((-2 - -2) + 1). Let t = v - k. Solve -4*g + 2*g = -t*x + 14, 5*x - 17 = 2*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -374 - -158. Let c = n + 140. Let s = -62 - c. Calculate the highest common divisor of s and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(l**(3\/2)*l)\/l)\/l*l)**(-4\/9) assuming l is positive.\nAnswer: l**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 3625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-95 + 671)*(8\/6 - 1). Calculate the highest common divisor of 84 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 8*l + 40. Let x be o(-7). Calculate the remainder when (x\/6)\/(-2) - 371\/(-21) is divided by (-3)\/9*-15 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 - -0.1. Let s = d - 1.00003. What is s rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**3 - 102*x**2 + 1048*x + 1152 = 0.\nAnswer: -1, 16, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 10*k**3 + 36*k. Let r(n) = 17977*n**2 + 32*n - 8988*n**2 - 8989*n**2 + 7*n**3 - 8*n. What is -5*l(u) + 7*r(u)?\nAnswer: -u**3 - 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 699 + -514. Calculate the highest common factor of w and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-55)\/22)\/(3\/(-6)). Solve 2 = 2*h + 2*h + t*b, 4*h + 3*b = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*d**2 + 29 - 7*d**2 - 26 + 13*d**2 - 60 - 2*d - 30.\nAnswer: -2*d**2 - 2*d - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/(-4))\/(15\/(-40)). Suppose 0 = y + 4*o - 12, -3*y - 7 = -c*o - 1. Suppose s - 3*s + 22 = y. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + ((-12)\/(-6) - 6). Let j(o) = o**2 + 8*o - 5. Let s(f) = f**2 + 7*f - 4. Determine q*j(h) + 6*s(h).\nAnswer: h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4501 a factor of 188018161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(5 + sqrt(76)\/sqrt(144)*1)*2*-5.\nAnswer: -200 - 20*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1544465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -18*n + 40. Solve 0 = n*c + 3 + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -383*x + 5148 = -669*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-6) - (-205)\/3. Suppose -11 = 3*m - o. Suppose 0*g + m = g. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1561848705?\nAnswer: 3, 5, 5477, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1207722, 2415462, 3623228, 4831032, 6038886, 7246802, 8454792, 9662868?\n\"Answer: 2*s**3 + s**2 + 1207723*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -323.946 + -0.054. Let r = b - -323.99861. What is r rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(2\/4)*102\/(-204)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -62215 + 62219. Let s = 20 - 39\/2. Let b = -0.5 - -0.3. What is the nearest to s in 5, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (42\/98)\/((-1)\/2*3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57015 - -64814. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6424.217 - -5696\nAnswer: 12120.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of p**4\/4 + 10*p**3\/3 - 5*p**2\/2 - 1. Let h(w) = w**2 + 5*w - 10. Let o be h(-5). What is the tens digit of k(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**2 + 51 + 87 + 14 + 57 - 24*s.\nAnswer: -s**2 - 24*s + 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -8, -5*h - 8*z + 37 = -7*z. Suppose 4*p + 2312 = 3*v, -4*v = h*p - 4*p - 3066. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -22, -148, -274, -400, -526, -652?\n\"Answer: -126*m + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -157789 - 30599?\nAnswer: -188388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sss when three letters picked without replacement from ssmmssm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.8 * -119134.\nAnswer: 452709.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (39 - 4) + 35?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -832*a**4 - 12*a**3 + 39*a**2 - 7*a - 4. Let w(f) = -f**4 + 2*f**3 - f**2 + f + 1. Let z(l) = t(l) + 7*w(l). Find the third derivative of z(u) wrt u.\nAnswer: -20136*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -3*r. Solve r*n + 3*b = -2*n - 5, n = 4*b + 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 881208.\nAnswer: 881208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (42\/(-63))\/(4\/(-30)). Find g such that -y*g**4 + 2*g**3 + 5*g**2 - 5*g**3 - 3*g**2 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1164 (base 7) in base 16?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Suppose -5*i + 9 = -1. Suppose -i*r + 6 = -58. Suppose -r - 28 = -4*b. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (152850\/13950 - 33\/3)\/(-2)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 73690*d**3*g**2 - 6504*d**3*g - g wrt g.\nAnswer: 147380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 36*t - 1119. Let j be p(31). Let d(b) = -2*b - 2. Give d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0.4, 0.03, -255.9 in decreasing order.\nAnswer: 0.4, 0.03, -0.1, -255.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 9 + 15. Let j(f) = f**3 + 8*f - 5. Let d(w) = -w**3 - 5*w + 3. Let c(n) = a*d(n) + 5*j(n). What is the first derivative of c(r) wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -be8 + -4?\nAnswer: -bec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78104 is divided by 62?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1180.002314 + 1180. Round p to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 199 - 131. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 8*n - 3. Let v(h) = 457*h + 970. Give x(v(j)).\nAnswer: 3656*j + 7757","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -521*h**3 + 5*h**2 + 192*h + 3. Let u(b) = 1043*b**3 - 9*b**2 - 352*b - 6. Determine -11*t(k) - 6*u(k).\nAnswer: -527*k**3 - k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -12. Suppose -6 + 18 = 4*d. What is the highest common factor of p and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 8496, 8497, 8498, 8499, 8500?\n\"Answer: v + 8495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -216, -300, -440, -630, -864?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -97 - -97. Sort m, -3, 10.\nAnswer: -3, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38717089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1767066023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 3*c + 2370. Let u be c\/330 + 2 + -1. Let p = u + 1777\/165. Find the common denominator of 8\/7 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -301 - 13223?\nAnswer: -20130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2 - 209242*h - 6485531. Determine q(-31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14954*h - 5*y - 180 = -14959*h, 0 = 8*h - 3*y - 88 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/14 and -25\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42 + 84. Let u be (-12)\/s - (-3 + (-66)\/(-21)). Let o = 1.063 + -0.063. Put o, 0.5, 2, u in descending order.\nAnswer: 2, o, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6 - -0.3725?\nAnswer: -1.2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(165)\/sqrt(5))\/sqrt(3) + sqrt(99)\/(sqrt(18)\/sqrt(2)) - sqrt(22)\/(sqrt(2)*-1*-1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 0.03, 3, 0.5, -21, 5, -2\/5, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -2*g - 15. Let a = g + 78. Let y = 99 - a. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*g + 46*g = -47*g - 270 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4795.45 - 2.\nAnswer: -4797.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of 49*j**6\/2 + j**3\/3 - j**2\/2 - 283*j - 141. What is the second derivative of d(h) wrt h?\nAnswer: 2940*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.138*-0.051.\nAnswer: 0.007038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*p - 9*p - 16*p**3 - 17*p.\nAnswer: -16*p**3 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*y + 35 - 33*y + 9*y + 10*y + 24 as f + s*y and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(200) + 4*sqrt(200)*1)*-5)**2 + 1*(1*sqrt(200))**2*2*-6.\nAnswer: 5000*sqrt(2) + 122700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 231*a**2 - 1894*a + 1091. What is v(239)?\nAnswer: 5393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 55 + -48. Let s = 5 + -2. Suppose s*n - o = 2*n. What is the remainder when 13 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12640602 + 0?\nAnswer: -12640602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate x**3*y**2 + 105*x**2*y**2 + 375*y**2 + 1 wrt x.\nAnswer: 3*x**2*y**2 + 210*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.1, 20, -11, 0.53, 5\/73?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2 - 4*v + 2*v + v. Let y(t) = 3*t + 11. Let n(d) = 7*d + 22. Let o(j) = 3*n(j) - 5*y(j). Give -6*o(f) - 33*p(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 633 + -298. Suppose 20 = 5*d, 4*r - 3*d = 35 - n. Calculate the remainder when 12 is divided by 23\/(-115) + r\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147990?\nAnswer: 2, 3, 5, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-4))\/((-51)\/714). Let y(z) = -z**2 + 8*z - 16. What is y(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 38*o + 1. Let t be g(1). Suppose 26 = -b - b - 2*i, -3*b - 5*i - t = 0. Let k = -1 - b. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 4\/(-6)*(-55941)\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.12 - -0.08. Sort 0.1, -1\/3, r.\nAnswer: -1\/3, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.09 + 107312625394\nAnswer: 107312625393.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/5  (b) 151297  (c) -1\/5  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 18962708 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -40\/17 or 58081?\nAnswer: 58081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/8*55\/(-11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 - -1 - 11\/5. Let w be 5\/(-30)*3 - (-2)\/(-4). Let y be 0 + (6\/(-2) - 2). What is the third biggest value in w, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17207100 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5029512 divided by -628689.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*n**3 - 6*n**3 - n**3 + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 632*s - 25924. Determine u(41).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z**3 - z**4 + 0*z**3 + (-z**4 + z**3 - z**3)*(-5 + 70 - 16) to the form c*z + n*z**3 + u*z**2 + f*z**4 + y and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 2:43 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2.6  (b) 2\/43  (c) 189  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixteenths of a minute in milliseconds?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1465, -1920, -2375?\nAnswer: -2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1443 - 835. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*a**2 + 476*a - 96.\nAnswer: 4*(a + 24)*(5*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 - 2*g - 4. Let r be o(-3). Is r smaller than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -16\/17 and -33\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -364*m + 354*m + 2420. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**2 - 3*a + 14. Let j be q(-5). Let b = j + 23. Is ((-14)\/(-56))\/((-4686)\/2344 + b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 - a + 3. Let w be k(0). Suppose -l = 3*g - 36, 189 = 5*l + w*g - 15. Suppose -3*u + l = -627. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gkjgjgg. Give prob of picking 1 j and 3 g.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-21)\/6*(-6)\/28*4. Let r(b) be the third derivative of -7\/36*b**4 + 2\/9*b**t + 0 + 0*b - 2\/45*b**5 - 2*b**2. Solve r(d) = 0 for d.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3406012 + 3406016 - 10*m + 9*m + 29*m**2.\nAnswer: 29*m**2 - m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 2.875?\nAnswer: -0.2875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -2, -10, -1.\nAnswer: -10, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1\/179 + 9842\/537. What is the common denominator of 23\/4 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5, 1, 1, 11, 37, 85, 161, 271?\n\"Answer: o**3 - 4*o**2 + o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 7 = 2*t - 0, -3*r + 5*t = 17. Let q = -4 + 10. Let a = 1 - q. Put 5, a, r in decreasing order.\nAnswer: 5, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10696 or 10701?\nAnswer: 10696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*g + 5 = -13*g + m, 2*m = -10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -972 + 1363. Let x = 391.00002475 - m. What is x rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4324\/715 greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w - 9. Let g(a) = 0 - 3 - 5 + 3. Let f = 13 - 8. Let v(n) = f*g(n) - 3*b(n). Differentiate v(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 38*k**2 - 1010*k - 26. Give d(18).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lglgtglll. What is prob of picking 4 l?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -81 - -18?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -97519, -97525, -97535, -97549, -97567, -97589, -97615?\nAnswer: -97645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 141483, 282965, 424443, 565917, 707387, 848853, 990315?\nAnswer: 1131773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 155 divide 234359380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 9*s - 46. Calculate the least common multiple of 45 and t(9).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102287 is divided by 4765.\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that f**3\/12 - 8501*f**2\/4 - 63767*f\/6 - 12754 = 0.\nAnswer: -3, -2, 25508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/11*f**3 - 442\/11*f - 360\/11 - 84\/11*f**2.\nAnswer: -2*(f + 1)*(f + 5)*(f + 36)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -14\/3, -82, 36\/5?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6544052m in nanometers?\nAnswer: 654405200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**3*h**(2\/17)*h**(-6\/13)\/(h**8\/h) assuming h is positive.\nAnswer: h**(-960\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + o - 4)*(-61*o - 2071 + 2071)*(-4*o**3 - 5*o**3 + 4*o**3).\nAnswer: 305*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -304694  (b) 133  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 9 = 6*a. Suppose -2*h - a*p = 7, -p - 11 = h + 2*p. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3201 - 3201. Which is the fifth smallest value?  (a) 14  (b) l  (c) 2  (d) 0.1  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 222, 3, -2 in ascending order.\nAnswer: -3, -2, 3, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (-872)\/(-12) - (2 - 8\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/4)\/(o**(-7)\/o))**(-4)*(((o**(2\/7)\/o)\/o*o)\/o)**(-22\/3)\/(o**(2\/7))**34 assuming o is positive.\nAnswer: o**(-197\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1.23+-10696714.33\nAnswer: -10696715.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.2 + 25.3. Let p = 39 - 60. Let g = p + b. Round g to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 times -0.951696\nAnswer: -16.178832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9037466.00017 - 9037505. Let c = -39 - z. What is c rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84)*2)\/sqrt(12))**2*4.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3b + -1a8870?\nAnswer: -1a8834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7524 is divided by 2165.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-476)\/272 - (-14)\/8. What is the closest to -0.2 in d, -16, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l + 11. Let o be m(-8). Factor 42*k**3 - 5*k**5 - k**4 - 2*k**o - 4*k**4 + 60*k**2.\nAnswer: -5*k**2*(k - 3)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (18\/24)\/1 - (-90)\/8. What is the highest common divisor of w and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1707430.\nAnswer: 2, 5, 113, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -2*p + 4*v, 5*p + 36 - 42 = 4*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 PM and 8:53 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/14872 and -103\/6804.\nAnswer: 25297272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/435 and 61\/10.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -924 or -926?\nAnswer: -926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131018352*r**2 - 65509211*r**2 - 65509186*r**2.\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 times -0.35?\nAnswer: -130.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*(-1 + (-93)\/2). Suppose n - 7 = -3*m, 0*n + 91 = 5*n + m. Calculate the greatest common factor of u and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370*a + 3046 = -505*a - 28503 + 2674 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 - -11 - ((29 - 79) + (20 - 2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/20)\/(5\/(160\/8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6, -4150, 5, 2 in decreasing order.\nAnswer: 5, 2, -2, -6, -4150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*g = 11733 - 11589 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17 + -17.4. Is a equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 196.6453kg to grams.\nAnswer: 196645.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (24\/(-5))\/(3\/(-10)). Suppose 1878 = p*r - 634. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/10*-12 + (-308)\/35?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40 - ((24 - 43) + -7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3149 + -1989. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*o - 4*b + 20 = 89*o, -5*o + 26 = 2*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 + 4*y**2 - y - 2. Let j(f) = -f**2 - 6*f + 3. Let g be j(-7). Calculate the least common multiple of w(g) and 5 + 21 - 24\/(-42)*-7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 + 4*f**2 - 4 - 6*f**2 - 8*f. Let m be d(-6). Let y = -11 + m. What is y rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3967089, -3967078, -3967063, -3967044, -3967021?\n\"Answer: 2*o**2 + 5*o - 3967096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -272*o = -3*a - 277*o + 54, 37 = 4*a - 5*o for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of q**9\/252 + 5*q**8\/42 + 47*q**5\/60 + 36*q**2. Find the third derivative of b(z) wrt z.\nAnswer: 240*z**3 + 2400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/336 and -41\/22?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2. Let f(r) be the second derivative of r**4\/2 + r + 61. Give y(f(j)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 2  (b) -1\/6  (c) 1989  (d) -3  (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31157 is divided by 87?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of u**6\/120 - u**5\/12 - u**4\/3 + 4*u**3\/3 - 5*u**2\/2 - 13. Let q(c) be the second derivative of a(c). What is q(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 278.2915 micrometers to meters.\nAnswer: 0.0002782915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q - q, 5*l + 5 = 4*q. Let j be ((-77)\/21 - l)*(-3)\/(-2). Which is the third biggest value?  (a) j  (b) 2\/3  (c) 0  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59041693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 131218.21 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1623139 - -0.13768612. Let f = -0.3 + o. Round f to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 617700 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 507, -23 in ascending order.\nAnswer: -23, -13, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (3 + (2 - 2)). Let f(z) = z**3 + 23 - 23 - 2*z**2 + p*z**2. Calculate f(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31\/10 + 38\/5. Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29346 and 2814?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 35776 = 35797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 837*u - 3782 = 92 + 5333 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.4 + 0.4. Let k = -30 + 31.7. Let z = o + k. Put -2\/11, -2\/13, z in ascending order.\nAnswer: z, -2\/11, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 + -5. Suppose 5*s - 4*s + 2*k - 15 = 0, -5*s + 45 = -5*k. Suppose 4*a - 9 = s. Solve -5*f + 5 + 20 = h*r, -3*f + a = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*u - 49*u = -60. Let z(j) = 9*j**2 + 10*j - 96. List the prime factors of z(u).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 - h + h)*(101 - 23 + 70).\nAnswer: -296*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of -185*y**4\/6 + 173*y. Let s(z) = -4*z**2. Give s(g(x)).\nAnswer: -547600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 821*s - 1. Let n(t) = -7*t - 1. Give n(r(l)).\nAnswer: -5747*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o + 35*o + 735 = 0. Let m(r) = -r**3 - 16*r**2 - 17*r - 26. Let t be m(o). Solve -6*h + h + 25 = t*j, 2*h = -4*j + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m = -18*m + 152. Solve -3*n = -5*w - 6, -4*w - 8 = -m*n + w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 12:52 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/(-10))\/(-3))\/(41359\/(-7010))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 147\/(-490)*(-5650)\/(-2373).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 7:45 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 23\/11916 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2 + -4 + sqrt(1300)*1 + 4*1*sqrt(1300)*5) + 1.\nAnswer: -3 + 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of 0 - 11\/24*o**4 - 99*o**2 + 21\/2*o**3 - 1\/20*o**5 + 0*o. What is the derivative of q(t) wrt t?\nAnswer: -6*t - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -16*y + 179. Give r(13).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-231)\/(-56))\/(18\/96 - 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fourty-three halves of a tonne?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/6 + (-4)\/(-6). Let i = l - -3. What is the highest common divisor of 35 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(-3\/10))*x)\/(x\/(x\/(x\/(x\/x**(1\/8)*x)))*x)*(x*x**(7\/4))\/x**(-12\/5) assuming x is positive.\nAnswer: x**(253\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84893*l**2 - l + 13117 wrt l?\nAnswer: -169786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of -g**3\/6 + 2*g. Let u be -1 + (12 - -2)\/2. Let b be (u\/4 - 2)*-2. Let a(j) = 4*j - 1. Calculate b*a(c) + 6*h(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 1 - 8)*(9*t**4 + 374*t**4 + 37*t**4).\nAnswer: -840*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -4922 less than or equal to -54888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**2 + 888662*x + 197430037561 = 0 for x.\nAnswer: -444331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 35 + -23. Let m = y - 10. Find the third derivative of -14*t**m + 17*t**2 + 17*t**2 - t**4 wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 a when three letters picked without replacement from {q: 1, r: 4, z: 2, y: 1, a: 2, g: 5}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 - 81*s**2 + 83*s - 67. Determine i(80).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 94*i**2 - 90*i**2)*(28 + 4 + 112) + 4*i**2 + 5*i**2 - 6*i**2 to v*i**2 + d*i + r and give v.\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**3 + 8 - 2*y + y - 2255*y**2 + 2210*y**2 to the form z + r*y**3 + m*y + o*y**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 + 28*x**2 - 77*x + 52. Give s(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert a3a17 (base 16) to base 7.\nAnswer: 5461012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72 and 152964888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -20 - (-3 + -4 + 2) - (-119 + 36)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/252 and 127\/6435528.\nAnswer: 135146088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 5 + (-171)\/378*-7 - 8.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 9*u**2 + 6*u + 26. Let s be r(8). Solve p + 2 = 2*o, -5*o = s - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 31*y - 27*y - 11 = 0, 0 = 3*d + y + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 6:55 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1153785563 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -4*i - 4. Let a be z(-3). Let o(m) = m**3 - 7*m**2 - 9*m + 8. Let h be o(a). Suppose -d = 2*b - 24, -4*d + 7*d - b - 51 = h. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -453 - -457. Let o(m) = -10*m. Let w(p) = -9*p + 1. What is d*o(t) - 3*w(t)?\nAnswer: -13*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2176.14 - -171852.1.\nAnswer: 169675.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27753 is divided by 235.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 1191*h - 599*h - 1 - 590*h. Let q(w) = -2*w + 1. Suppose -2*i - i = 6. Let p be i*2\/(4\/3). Give p*q(y) - 4*t(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-72)*-2)\/(5\/2*(-608)\/(-2280)).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -975.247 + 22.517. Let y = k - -957. What is y rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 3*s + 5*i + 33, 0 = -3*s + i - 41. What is the common denominator of 83\/22 and (-284)\/8*(-2)\/s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81594 is divided by 414.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 15053, 3, 5, 2\/7, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -43.999864 - -44. Round u to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of -2*f**5\/5 - f**4 + 38*f**3\/3 + 32*f**2 - 96*f + 1476. Determine h, given that s(h) = 0.\nAnswer: -4, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 3. Let p(m) = 226*m - 77*m - m**2 + 6 - 76*m - 74*m + 3*m**2. Calculate 11*d(z) - 6*p(z).\nAnswer: -z**2 + 6*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 57.7971l?\nAnswer: 57797.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -38*g + 3586. Determine a(78).\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 100*y**2 + 80*y - 8040. What is s(100)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -15*t**3 - 3*t**2 + 3*t. Let m(d) = -76*d**3 - 14*d**2 + 14*d. Determine -28*f(w) + 6*m(w).\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17287 = s - j, -13 = -j - 8. What is the greatest common divisor of 66 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 129600 and 3920?\nAnswer: 6350400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.89 + 7. Let q = -25.09 + 25. Let x = q - h. Which is the biggest value?  (a) -4  (b) -5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/(-25) - (-206)\/10. Calculate the highest common divisor of 14 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1277, 10514, 35605, 84476, 165053, 285262, 453029, 676280?\nAnswer: 962941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*k - 3*k - 2*k)*(-4*k + 4*k - k**2) + (-2*k**2 - k + k)*(7 - 7 - 5*k) - 2*k**3 - 13*k + 13*k + 1.\nAnswer: 7*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a07 - -20?\nAnswer: -9c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -37*0.1\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 275  (b) -2\/7  (c) -0.587  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -309, -1045, -2193, -3741, -5677, -7989, -10665, -13693?\nAnswer: -17061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 + 14*q + 4. Let f be 21 - 4 - (2 - -2). Let w be y(f). What is the highest common factor of w and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-16)\/20)\/((-6)\/(-15)))\/(-15).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -a0aa739?\nAnswer: a0aa735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 82362?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -56*x + 2089. Let h be u(37). Calculate the greatest common divisor of h and 2074.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2496*g**3 + 8979*g**2.\nAnswer: 14976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 28600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from rqrjrzjzeznerjq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 50636 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(243)*1*-1 - (sqrt(243) + 0 + -4 - sqrt(243))) + 4*-6*(1 + sqrt(243)) + -3))**2.\nAnswer: 41400*sqrt(3) + 609616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001151 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 245161.\nAnswer: 7, 35023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -131445, -262888, -394331, -525774, -657217, -788660?\nAnswer: -920103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.806709 - -990.1641\nAnswer: 990.970809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x + 3*x - 36 - 7*x + 4*x.\nAnswer: -x - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 - -7 - (2 - 1). Suppose -m*d + 600 = -6*d. Let f = 226 + d. What is the remainder when f is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*5\/35)\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4, -10, -16?\n\"Answer: -6*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2636 = -9*i + 127. Calculate the remainder when i is divided by 3\/(-9)*((-4)\/(-2) - 188).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of 1\/5*j**5 + 0*j + 0*j**2 - j**4 + j**3 - 22. Let d(s) = 0. Calculate s.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 1\/3*y**3 + 0 + 0*y**2 - 27*y. Let a(g) = 2*g**2 - 7*g + 7*g. What is j(a(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d. Let g(z) = 656905275*z**2. Give g(v(a)).\nAnswer: 656905275*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (23 + -28 - (6 + -2)) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 5*o**3 - 3*o**2 + 3*o - 1. Let t be n(1). Let b(v) be the third derivative of -1\/6*v**3 + 1\/8*v**t - v**2 + 0*v + 0. Give b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of g**4 - 92*g - 46?\nAnswer: 4*g**3 - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from uuuuddu?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3636 + -3?\nAnswer: -3640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 6*y**2 + 3*y**3 + 2 + 7*y**2)*(-476*y**2 - 157*y**2 + 156*y**2).\nAnswer: -1431*y**5 - 477*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 20 = j. Let v be ((-3)\/j)\/((-1)\/4). Let r(a) = -4*a**2 - 3*a + 9. Let i(u) = -5*u**2 - 4*u + 11. Let q(b) = -3*i(b) + 4*r(b). What is q(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pys when three letters picked without replacement from {p: 1, c: 2, s: 1, d: 1, y: 2, t: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, 0, -2\/27, -3, -5\/4 in decreasing order.\nAnswer: 3\/7, 0, -2\/27, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 54 = 3*p, -2*p + 4*v + 5 = -15. Let n be -2*2*(-20)\/p. Suppose 3*s - 5*s = 2*r - 32, -n*s + 92 = r. Solve 5*j = 4*z, -5*z + 6 = -s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8717344 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 42\/(-30) - 6\/(-15). Which is smaller: -10\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(0 + (-2)\/14). Suppose 0 = -5*s - l + 18, -3*s + 5 = 3*l - 1. Suppose -11*p**2 - 17*p**4 + 5*p**s - 3*p - t*p**2 - 27*p**3 = 0. What is p?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -v**2 + 1671*v + 0*v**2 + 30 - 1673*v + 2*v**2 in the form q*v**2 + f*v + k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/(-2))\/(9*1\/84). Suppose -4*b = q*b + 486. Do b and -25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52, 57, 62, 67?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1061 (base 9) to base 3.\nAnswer: -1002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53 = -5*x - 2*t + 37, -2*x + 2*t = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.01563252 + 7559.\nAnswer: 7558.98436748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 24*q + q + 20*q + (4 - 4 - q)*(2 + 5 - 2) as s + x*q and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -3*h + 9, 5*d = -0*d. Suppose 2*t - h = 13. Calculate the least common multiple of 3 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 268, 617, 964, 1309, 1652?\n\"Answer: -i**2 + 352*i - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -423 - -539. Is n <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6097 minus 214792571?\nAnswer: -214798668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of 27*i**2\/2 + 5*i - 4. Let d(h) = -80*h - 14. Let f(v) = -17*c(v) - 6*d(v). List the prime factors of f(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/6*(-48)\/(-10). Is q greater than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 17144*b - 5811. Is a(31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 + 9. Sort -3\/10, 4, v in decreasing order.\nAnswer: 4, -3\/10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 362794 - -0.1\nAnswer: 362794.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2146*l - 493574. Calculate g(230).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of 5*a**3\/6 - a**2\/2 + 20*a. Suppose 0*m - 4*m = 28. Let w(f) = 2*f - 5*f + 1 - f. Give m*w(c) - 6*g(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -837*w + 193. List the prime factors of a(-55).\nAnswer: 2, 7, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b + -20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*n - 2. Let q be 5 - 3*4\/3. What is the greatest common factor of q and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 3*t**2 + 2 + (0 + 0 + 1)*(3*t**2 + 4*t - 4*t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 7*b**2 + 124*b + 60. What is the remainder when 2206 is divided by f(8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-132)*(568\/2130 - 194\/15 - -12).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3233 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + 7*i**2 + 11*i - 11. Let g be t(8). Solve 2*z = 3*q - g, 4*q + 5*z - 2 - 23 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6 - ((-4094)\/(-207) + -26). Is 1721 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6bb + -247d?\nAnswer: -1cb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 17+42\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -u - 26, 84*m - 2*u - 1685 = 19*m - 2008 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 6. Which is smaller: -6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -262 - -2107\/8. Find the common denominator of ((-348)\/266 + (-18)\/42)*(-2)\/(-8) and f.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-7)*c)\/(c\/((c*c**(-2\/5))\/c)))\/(c**0)**30)**(-2\/5) assuming c is positive.\nAnswer: c**(74\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 68*o**3 + o**2 - 18*o - 34. Let g be a(-2). Round g to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02056537 to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13153 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o**3 - 9*o**2 + 7*o - 4. Does 83 divide y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151872 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (3 - 7) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gfqu when four letters picked without replacement from qqfuuug?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, i: 2, o: 1, t: 1, b: 2}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*((i**19*i)\/i)\/i)\/(i\/(i\/(i\/(i*i**(-19))))*i*i*i))**(-24) assuming i is positive.\nAnswer: i**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1305479 is divided by 989.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 512*b**3 - b**2 - 424*b wrt b.\nAnswer: 3072*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1892 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1 and 641.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 4*c**2 - c + 6. Let h be o(-3). Factor -1\/5*r**3 - 1\/5*r**2 + 0*r + h.\nAnswer: -r**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*n + 3385 = -1535 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -0.29  (c) 30  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -43  (b) 135952  (c) 3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3*f - 1. Let x be i(1). Let d = -2\/129 - -92\/387. What is the closest to d in x, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80 = -3*u + 4*d, -3*d + 319 + 46 = 19*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**4 - 7635*w**3 - 53178*w**2 + 304428*w - 335016 = 0.\nAnswer: -2538, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 47 - (8 - -159 - 46)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -8) + (-26)\/(961\/62 - 15)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 + 26. Is -1 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 4*w**2 - 9*w**2 + w**2 - 6*w**2. Let k(i) = 3*i**2. Give n(k(x)).\nAnswer: -90*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b + 70 = 0, -6*p + 3*p + 27656 = b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -20*q + 29. Is l(-8) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b + 3*b**2 - b**2 - 3*b**2. Let u(l) = 6*l**2 + 5*l. Calculate -20*c(t) - 4*u(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 10262.5 + 27.77?\nAnswer: 10290.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 3*v**2 + v + 2. Calculate u(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13189161 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.778554 years?\nAnswer: 0.000778554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11873 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 13610 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 12809233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (209\/(9196\/88))\/((-7)\/3).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7027.9, 93, 0.5 in descending order.\nAnswer: 93, 0.5, -7027.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*1)\/(17\/(204\/16)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -32*r**3 + 2*r + 1. Let k be (-6)\/8 - 15\/60. What is u(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 59 - 26910\/455 - 4*118\/28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**2\/8 + 69195*w\/4 + 3460375\/8 = 0?\nAnswer: -25, 138415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2, 0.12, 42, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 785757727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5171, 10180, 15183, 20174, 25147, 30096, 35015, 39898?\n\"Answer: -q**3 + 3*q**2 + 5007*q + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.29 - 0.11. Let w = 0.81 - g. Let h = w - -4.37. Which is the third smallest value?  (a) h  (b) 3  (c) 0.5  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (27 - (-123 - -7)) + -11 - 35\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = -k + 159. Suppose -k = -4*t + t. What is the remainder when 145 is divided by t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 3\/4  (b) -5  (c) 8  (d) -650\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (72\/(-20) - -3) + (-1172)\/(-1520) and 37\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29005104 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 7*1\/((-7)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v - 2*v - v)*(5 - 3 - 1) + (-v + 3*v - 3*v)*(0 + 3 - 4) - 2 + 2 + 2*v + 3*v - v - v + (1 + 1 + 0)*(0*v - v + 2*v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (38 - 9) + (-1902)\/66?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4415*a - 4412*a - 651. Calculate the greatest common factor of 84 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14123183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - 5595) + (-16)\/(-4). Let q = g + 11576. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 157*h**2. Let l(y) = 37473*y. Calculate l(v(n)).\nAnswer: 5883261*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -9, -2\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 61960\/28 - (-2 - (-26)\/14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35\/315053 or 1?\nAnswer: 35\/315053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 5*n**2 - 9*n + 10. Let v be l(1). Let f(u) = -8*u + 48. Let r be f(v). Which is smaller: r or -20\/39?\nAnswer: -20\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 64089888 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 967956?\nAnswer: 2, 3, 11, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 - 2*n**2 + n + 1. Let m(u) = 3205*u**3 + 883*u**2 + 14*u + 14. Let h(y) = m(y) - 14*q(y). Find the third derivative of h(j) wrt j.\nAnswer: 19146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 11 - (-75 - -79 - (1 - 1))) + -105\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 - 1 + f + 11 to c + i*f and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/677?\nAnswer: -3\/677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -5*a**2. Let g(p) = 52*p**2 - 9*p. Determine g(r(b)).\nAnswer: 1300*b**4 + 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + r - 12 = 2*r, 0 = 3*k + r - 12. Suppose -9 = -2*c + 3. Calculate the smallest common multiple of k and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5\/(-15))\/(1\/2). Let q(v) = -v - 36. Let j be q(0). Let i = j + 41. Which is the closest to 0.1?  (a) -0.3  (b) h  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5447 a factor of 452528204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/20*(854\/(-21))\/61?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*3\/(-9) + (-17)\/357. Sort h, 12\/5, 1\/4 in descending order.\nAnswer: 12\/5, h, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -787 - -53700.\nAnswer: 52913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 + -9. Suppose 3 = -3*m + 3*y, -y + 20 = 5*m - 5. Suppose -3*h + 4 + m = -v, 21 = h - 4*v. What is the greatest common factor of z and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5797 and 430032?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a**2 + 5*a - 1. Let m(k) = k. Let b(z) = -c(z) + 2*m(z). Give b(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 639, 680, 737, 810, 899?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/1332 and 17\/2466.\nAnswer: 182484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 845.7478 minutes?\nAnswer: 50744868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -0.2  (b) -1\/4  (c) 1\/2  (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27504 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 60790117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33480582*q**5 + 3290*q**2 - 3*q + 164.\nAnswer: -2008834920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3533*k**2 + 1771*k**2 + 1762*k**2 + 2983*k**3)*(0*k + k - 3*k + (-1 + 1 + 1)*(-k + 2 - 2) - 2*k - 4*k + 5*k).\nAnswer: -11932*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*p**2 - 6*p**2 + 4*p**2)*(3954 - 6619 - 2*p**2 + 4209 - 3*p) to l*p**2 + g*p**3 + t*p + x*p**4 + w and give l.\nAnswer: 1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**2 - 1347579*w - 9433200.\nAnswer: 3*(w - 449200)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 PM and 11:08 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -8*w**3 - 4956*w**2 + 27508*w + 5002. Determine z(-625).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 180 and 1740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccj when three letters picked without replacement from jca.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22\/3 or -239?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from rhlhhllh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 167 - 173. Let g(r) = r**3 + 5*r**2 - 2*r - 1. Determine g(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, 26, 5 in descending order.\nAnswer: 26, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (47 + -74 - 19)\/(3\/((-3)\/(-2))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 0 = -0. List the prime factors of -2 - 1 - t - -46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/96 and -59\/1020?\nAnswer: 8160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3467029441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83914508 is divided by 2859?\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 167, 687, 1555, 2771, 4335, 6247, 8507?\nAnswer: 11115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llllllllll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 227688323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 - 54. Suppose r + 4399990 = 2*c, -r = c - g*c + 4399975. Round r to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-10)\/4)\/((-45)\/(-18) - 2). Let g(q) = -q**3 - 4*q**2 - 3*q - 1. Give g(y).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/1683 - -31969\/6732. Calculate the common denominator of 145\/6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 44, 92, 168, 278, 428?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20222 - -10002010020?\nAnswer: 10002101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*o**5 + 312*o**4 - 5888*o**3 + 14340*o**2 - 6794*o - 1980 = 0.\nAnswer: -45, -1\/5, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7710671 or 7710670?\nAnswer: 7710670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of -r**3\/6 + r. Let p(c) = 4*c - 6. Let t(l) = 7*l - 11. Let a = -10 - -21. Let z(y) = a*p(y) - 6*t(y). What is i(z(j))?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -5*o + 10*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-8) - (18 + ((-1577)\/836 - 15)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -4 + (sqrt(700)*2)**2 + -2.\nAnswer: 2797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/36750 and -111\/147980?\nAnswer: 11098500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 177*b**3*g**2 + 2*b**3*o + 2*b**2*o**2 - 14*b*g**2 + 2*b*g*o**2 + b*o**2 + 3*g**2*o**2 + 6*g*o**2 wrt b.\nAnswer: 1062*b*g**2 + 12*b*o + 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -57 + -45?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -111111011111 (base 2) in base 6?\nAnswer: -30451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27.82 + 28. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 28*h - 435. Let d be a(16). Put 5, -5, -33, d in ascending order.\nAnswer: -33, -5, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 greater than or equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 1. Let g be -3*(r - (-1)\/(-1)). Let n = g + 12. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 - (21 - (65115 - -23)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -9*v**2 + v + 1. Suppose 0 = -f + 5*f + 4. Let z be a(f). Which is bigger: z or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4889 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 - l**2 + 2. Let a(d) = 69*d**3 - 923*d**2 + 452*d - 66. Let m(q) = -a(q) - 5*r(q). Factor m(z).\nAnswer: -4*(z - 14)*(4*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 63 - 49. Let c(x) = 10*x + 8*x - 2*x - 3*x**3 + 3*x. Let f(w) = -w**3 + 6*w. Let p(j) = s*f(j) - 4*c(j). Factor p(q).\nAnswer: -2*q*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-5)*(d**(-1\/8)\/d)\/d*(d\/(d**(-1)\/d))**(5\/7))**(2\/13) assuming d is positive.\nAnswer: d**(-279\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/80)\/((-21)\/(-168)))\/((-9)\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 PM and 9:56 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -v**5\/300 - v**4\/15 - 8*v**3\/15 + 1252*v**2. Factor l(r).\nAnswer: -(r + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 249120253625\/2334 + -106735305. Let g = c - 3\/389. Find the common denominator of g and 55\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -2\/33, -2.14, 2, 0, 1\/5 in decreasing order.\nAnswer: 2, 1\/5, 0.1, 0, -2\/33, -2.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 503707968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 116 - 3*v - v + 290 + 156 as r + z*v and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 501.\nAnswer: 4509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -244 + 975\/4. Let v = 1.9 - 18.9. Put z, -6\/5, v, 0.1 in increasing order.\nAnswer: v, -6\/5, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2058 take away 0.41848?\nAnswer: -0.21268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1327ab - 17?\nAnswer: -1327c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q + 20. Let i be x(10). Solve 4*g + 4 = i, -5*o = -g + 33 - 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -5  (c) 3  (d) -1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggssrgs. What is prob of picking 1 r and 2 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**2. Let r(b) = -24*b + 4. Suppose -11*s - 155 = 20*s. Let o(w) = -12*w + 1. Let c(j) = s*o(j) + 3*r(j). Give g(c(d)).\nAnswer: 288*d**2 - 336*d + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8\/17 or 1?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 949571 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**3 - 44*u**2 - 185*u - 6. What is w(-16)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1038 - -1038.4. Which is the third smallest value?  (a) 0.1  (b) f  (c) -5  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4113*h + 4115*h - 2*s - 48 = 0, 4*h - 68 = 3*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (0 - (5 + -7)) + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 9 - 7. Solve f*m = 4*d + 12, d = -m - 0*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -291, -292, -293, -294, -295?\n\"Answer: -p - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**4 - 5444*t**3 - 2629442*t**2 + 1463347200*t - 144506880000 = 0. What is t?\nAnswer: -1536, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7392  (b) -0.24  (c) -35\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001121 + 10?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2*q = 15. Let c be (q - 1\/(-1))*1. Let k be 1 - (-36)\/(-15) - c. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(27) + 6*sqrt(54)\/sqrt(2))\/(2*sqrt(729)).\nAnswer: -3 + 7*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -671666.7.\nAnswer: 3358333.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1670 - 5374 = 8*g. Let u = -283 - g. Calculate the highest common factor of u and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qwqeheeqeeqqqq. What is prob of picking 1 w and 1 e?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ldmm when four letters picked without replacement from mmdl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -145705 and 0.5.\nAnswer: -145704.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from {w: 9, y: 2, r: 2}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 79*j + 2990. What are the prime factors of a(0)?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35*q**2 - 30*q**2 + 4*q + 2*q)*(1 - 7*q + 3 + 2).\nAnswer: -35*q**3 - 12*q**2 + 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*w + 652*w**2 - 32*w + 67*w.\nAnswer: 652*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.6 + 3. Suppose 217 = 18*d + 130 + 159. Let y = 7.8 - 8. Which is the closest to y?  (a) w  (b) -2\/9  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 976, 975, 974, 973?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**2 + 5*a**4 + 2 + 113*a**4 - 2*a + 144*a**3 - 144*a**3 in the form x*a**2 + d + m*a**4 + p*a**3 + q*a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*k**2*r**2 + 340*k**2 + 3491*k*r**3 - k*r - k - 4*r wrt r.\nAnswer: -16*k**2 + 20946*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from suzlksvkklusu. Give prob of sequence zu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/1701320 and -10\/9?\nAnswer: 15311880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -3 - (-11 - -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-80)\/48*54\/30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26805*w**5 + 3*w**2 + 3*w + 1171?\nAnswer: -1608300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1843 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104306.\nAnswer: 2, 52153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33.874 - 34. Let f = x + 0.026. What is the closest to -2\/5 in -4, f, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 361965938?\nAnswer: 2, 17, 53, 200869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 9*f**2 - 5*f + 3. Let y be (-695)\/(-35) - 1\/(-7). Suppose 9*w - 5*w + y = 0. Is d(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48363526 is divided by 6214?\nAnswer: 6178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 5*w**2 - 6*w - 6. Let b be a(-4). Suppose -3*y = -5*p + 5, b*y - 5*p + 25 = 3*y. Suppose -y*f - 46 = -166. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -26f3 - a23?\nAnswer: -3116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 202498 is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sscsysccssscccs. Give prob of picking 3 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3*u = 5*a + 358, 0 = -2*u + 4*a - 394. Let c = u + 39. Round c to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1141 (base 5) to base 13.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5689*l + 5388*l + 5140*l + 4004*l + 4863*l to g*l + y and give g.\nAnswer: 13706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of 5 - 1\/6*f**3 + 1\/2*f**2 - 1\/2*f. Determine o, given that m(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 12 = 0, 0 = -m + 6*m - o + 2019. Is (m\/(-3) - (-6)\/(-4))*6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 22.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 2*u - 34 = -0*a, 2*a - 4*u = 24. Let j(x) = x**2 + 17*x + 36. Calculate the smallest common multiple of a and j(-15).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25536986*m**6 + 80985*m**2 - 3*m - 1.\nAnswer: 3064438320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-60)\/(-100))\/((-3)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1046, 4185, 9416, 16739, 26154, 37661?\n\"Answer: 1046*j**2 + j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 463, 563, 715, 943, 1271?\n\"Answer: 4*n**3 + 2*n**2 + 66*n + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 416871859 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -18, -54, -100, -150, -198, -238?\n\"Answer: t**3 - 11*t**2 - 10*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 111\/10 and -149\/186?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - q**2 - 3*q + 1. Let k be d(2). Let x = -1\/142 - 707\/426. Which is greater: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 25*y**3 - 4*y - 3. Calculate t(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1461, 2929, 4397, 5865, 7333?\n\"Answer: 1468*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -70626 minus -0.794?\nAnswer: -70625.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*b = 21*b + 2*t - 18, -5*b - 2*t - 27 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -105\/484 and -12\/25531.\nAnswer: 102124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 416457098 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 89*a**2 + 15*a - 9. Let c(i) = -45*i**2 - 8*i + 3. Let m(l) = 5*c(l) + 3*z(l). Let w = 2 - 0. What are the prime factors of m(w)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17405.6143 rounded to the nearest one hundred?\nAnswer: -17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-6*(sqrt(42) - (sqrt(42) - sqrt(42)*1)))\/sqrt(6).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 23 = 5. Let l be (1 + -5)*(-5)\/(-50). Let n(g) = g**2 - 4*g - 1. Let k be n(4). What is the nearest to l in 1, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 5*z = 0. Suppose -3*v + 18 = -z*v. Suppose -f - 13 = -5*c, -3*f = -0 - v. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18 - -11) + (2 - 23)\/(-3). Let b = 0.01 - -1.99. Let u = b + -5. Sort 0.1, y, u.\nAnswer: u, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -67*b**2 + 7*b + 7. Let c(z) = -22*z**2 + 2*z + 2. Give -7*c(x) + 2*g(x).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(-8)\/128*(110\/33)\/(-5).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 5:33 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-16))\/((-9)\/(-18)). Let t(m) be the first derivative of -3 + 0*m**3 + 0*m + o*m**4 + m**2. What is the second derivative of t(d) wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000371 to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 25, h - 5*k = 3542 - 1254. List the prime factors of h.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1230946 + 129054. Round k to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/12 - (-63)\/2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of p**5\/160 + 9*p**4\/64 - 60*p**2. Factor r(b).\nAnswer: 3*b*(b + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 3*z**4\/4 - 7*z**3 + 33*z**2\/2 - 15*z - 32. Factor s(x).\nAnswer: 3*(x - 5)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 829416013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200*k = -201*k + 2, -3*u - 2*k - 3566 = 0. Is u < -1190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, 3 in increasing order.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (7\/(-21))\/((-14)\/12). What is the closest to -1\/4 in 0.2, -2\/15, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 1:32 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5605*l**3*v + 20*l**3 + 239 wrt v?\nAnswer: 5605*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -10, -0.2, 32\/5905 in decreasing order.\nAnswer: 32\/5905, -0.2, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vabbbvvbvbbbbbbvbb. Give prob of picking 1 v and 3 b.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42 + 30. Let l = s - -9. Is 5 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 7, -5, -1 in decreasing order.\nAnswer: 7, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 + -2)\/(1236\/(-108176883)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/30)\/(5\/20)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*k**3 - 3*k**2 + 3*k**2 + 19*k - 12*k wrt k?\nAnswer: 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*i + 24 - 64. Solve i*o + 26 - 6 = 5*d, -d - 4*o = 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 24, 42, 60, 78?\n\"Answer: 18*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y**5 - 246204*y**4 + 5050874961*y**3 + 20212610088*y**2 - 106089057648*y = 0 for y.\nAnswer: -7, 0, 3, 41036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199453?\nAnswer: 199453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzbbzbzddzhzqhzz. Give prob of picking 1 d and 1 b.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16070 and 1385720.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64139088.\nAnswer: 2, 3, 13, 23, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4\/18 + (-7)\/(63\/(-3418))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1329 + -17?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 339 < 360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 5 + 219*n**2 - 3 - 92*n**2 + 94*n**2 + 91*n**2. Let p(q) = 2*q**2. Give p(g(u)).\nAnswer: 194688*u**4 + 2496*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 152.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - 1. Let k = -8 - -7. Let b be 20\/(-28) + 2 + k. What is the closest to 0 in -1\/4, r, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -33 + -1. Let n = b + 220. Suppose 4*r = -38 + n. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - a**2)*(-1 + 3 + 3)*(13*a**3 - 4*a**2 + 4*a**2).\nAnswer: -65*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13619 divided by -4799.\nAnswer: -13619\/4799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**3 - 4*q**2 + q - 18. Give p(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 137163 and 1019460.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(3\/4)\/f**(-5)*f**(1\/2)\/(f\/(f\/(f*f\/((f\/((f\/((f*f*(f*f**5*f)\/f)\/f))\/f))\/f)))) assuming f is positive.\nAnswer: f**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 5:52 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = -2065*h + 2057*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -850*u + 338 = -1362. Factor -68\/15*p + 578\/15 + 2\/15*p**u.\nAnswer: 2*(p - 17)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39\/(65\/(-5))*4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4441 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -9494.\nAnswer: -18988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2314)\/(-38) + (-80)\/(-760). Round g to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 978 + -984. Let d(x) = -x**3 - 4*x**2 + 12*x - 10. Calculate d(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43210 (base 6) in base 16?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5472 and -0.05.\nAnswer: -0.02736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 6*w + 3. Let d(j) = 10*j + 4. Let a(i) = -5*i - 2. Let h(x) = -7*a(x) - 3*d(x). Let g(z) = 4*h(z) - 3*m(z). What is the units digit of g(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.01 and 3031?\nAnswer: -30.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29764 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 21*g**4 - 4*g**3 - 4*g**2 + 39*g + 4. Let z(w) = -w**3 - w**2 + w + 1. Let s(b) = -h(b) + 4*z(b). Find the second derivative of s(d) wrt d.\nAnswer: -252*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -91 - -3?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/(sqrt(4)*-1 - sqrt(4)) + -4.\nAnswer: -4 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/12 - (-105)\/(-270)) + 1581\/432. Which is smaller: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24986, -28182, -31378, -34568, -37746, -40906, -44042?\nAnswer: -47148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from {k: 6, v: 4, c: 5}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2 - 22234512*g - 22234515.\nAnswer: 3*(g - 7411505)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2181 - 2178.4. Which is the smallest value?  (a) 6\/7  (b) -2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6814095 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.8?  (a) 1\/3  (b) 3  (c) -164.7  (d) -1\/3  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 10848 = -5*s, -c = -189 + 190. What is the lowest common multiple of 490 and s?\nAnswer: 15190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 0 + 0)*(2*s + 1 - 1)*(-1 + 2 - 2)*(-3 + 3 - 1)*(0*s**2 + 0*s**2 + 6*s**4).\nAnswer: -84*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that m**4 - 178*m**3 - 4897*m**2 - 35870*m - 53592 = 0.\nAnswer: -12, -11, -2, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) 9808.53  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 3:02 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (((-30)\/(-9))\/(2\/(-3)))\/(-1). Solve 2 + a = 7*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 4*q**2 + 4*q + 4. Let s be l(-2). Suppose 3*n - 2223 = -4*f, -4*f - 8*n = -s*n - 2244. Does 60 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*i**2 - i**2 - 3*i**2)*(297060 - 155713 - 152877).\nAnswer: -11530*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*p**2 + 235*p**2 - 29*p + 29*p as l + c*p + h*p**2 and give h.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 2*f**5\/17 - 28*f**4\/17 - 2*f**3\/17 + 28*f**2\/17 = 0.\nAnswer: -1, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/528707783 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b + 34. Let i be d(30). Suppose -2*o + 4*g - 28 = -100, -4*o + 3*g = -i. Solve -13*h + o = -37 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8340093 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9407 by 6.\nAnswer: 9407\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 3*t + 45, -5*i + 3*t = -113 + 14. What is the highest common factor of 136 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 34 and -2\/10565 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 2247886557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*y + 206*y - 76*y - 8*y**2 + 9*y**2 - 73*y.\nAnswer: y**2 - 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-8)*(-4)\/1. Suppose 214*a + 523*a = 98*a - 41221 - 14372. Sort h, a, 3, 2 in increasing order.\nAnswer: a, h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 116717.1532 to the nearest 100.\nAnswer: 116700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 94750, 94551, 94352, 94153?\n\"Answer: -199*k + 94949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2590)\/161 - (-15 - 1).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35512 = 2*y - 2*v - 23758, y - 3*v = 29653. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 69 - 67.9616. Let c = o + -0.0384. What is the third smallest value in c, -4\/7, -12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -333*s**2 - 168*s - 2. Let u(a) = 2*a**2. Give m(u(k)).\nAnswer: -1332*k**4 - 336*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 2 - 25\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s + 34*s**2 - 19*s**2 + 21*s**2.\nAnswer: 36*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4482 and 436995.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - ((30 - 10) + -10 - 2) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 16.9.\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16613.5029771 - 16614.503. Let f = x - -1. Round f to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -s**5\/540 - s**4\/24 - 4*s**3\/27 + 21*s**2. Factor n(o).\nAnswer: -(o + 1)*(o + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-280)\/(-350) - (-2651)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2514324 and 573.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -33101679 and -0.2.\nAnswer: -33101679.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 5*f + 287 + 71 = 0, -90 = -v + f. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**7*n)\/n)\/n**(-11\/5) assuming n is positive.\nAnswer: n**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3644 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 12 = 3*v, 0*v + 4*d + 4 = v. Suppose -417 + 417 = 240*s. Solve -3*p + 15 = s, 0 = -4*a - v*p + 4 - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = -906*l + 900*l - t, 3*l - t = 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.376497 millennia in decades?\nAnswer: 37.6497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of -31\/210*m**7 + 0*m + 0*m**4 + 5\/3*m**3 + 0 - 42*m**2 + 0*m**5 + 0*m**6. Differentiate l(j) wrt j.\nAnswer: -124*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 + 9*t + 2. Let o be j(9). Let p(m) be the third derivative of m**4\/8 + m**3 + 4*m**2. What is the tens digit of p(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -24*t - 1. Let m(h) = 113*h - 3. What is x(m(d))?\nAnswer: -2712*d + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 10 = 5*l, -5*w + 3 = -l + 5. Let i(y) = y**3 - 2*y**2 - 7*y + 2. Let d be i(6). Suppose -d = -l*c - 4*x, x - 274 = -5*c - 2*x. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of -5*d**2 + 19*d - 7324. What is g(6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 5*o**3 + 10*o**2 + 2*o - 20. Determine a(-4).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -97 - -57. Suppose -121 = -2*n - 5*h, 2*n + 2*h = 1 + 117. Let r = u + n. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 40*m + 11 = 45*m, -9*l + m = -26 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1569 + 2560. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -42359, -43199, -44035, -44867, -45695, -46519?\n\"Answer: 2*h**2 - 846*h - 41515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 214200 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3246 - -3249. Let o(q) be the first derivative of 1\/3*q**x - 1\/2*q**2 - 12 - 1\/12*q**4 + 1\/3*q. Determine d so that o(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3209 - -8172?\nAnswer: 4963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -7*r. Let g(a) = a**2 + 44. What is the units digit of g(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(65) + (sqrt(65) - 1*sqrt(65))))\/((-1*sqrt(55) + sqrt(55) - sqrt(55))\/sqrt(11)))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 184\/7, 0.3, -0.3, 5134 in descending order.\nAnswer: 5134, 184\/7, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-300)\/175 - (-2 + 0). Let u be (-13)\/12 - 2\/(-6). Let a = -6 + 6.3. What is the nearest to l in a, 3, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 407*n - 412*n = 30 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-167*x**4 - 1572*x**2 + 1572*x**2)*(1 + 0 - 2).\nAnswer: 167*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -16. Suppose -5*d = -2*y - 80, -d + 0*y = -y - i. Suppose -2*f + 20 - 2 = 0. What is the remainder when d is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -463, -942, -1421, -1900, -2379, -2858?\n\"Answer: -479*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 + -24. Let s = 0.1 - 0.1. What is the closest to s in u, 4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 6248*j - 12506. Calculate q(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 157, 311, 459, 601, 737, 867, 991?\n\"Answer: -3*d**2 + 163*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/9639 and 25\/55753047?\nAnswer: 501777423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 - 11*x**2 + 12*x + 4. Let p be h(-12). Suppose -l - 14 + 0 = -3*w, 0 = p*l - 16. Solve -4*c - w = -22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1779 - -1779.3. Let y be (-2 - 0)\/(4 + -6). What is the closest to -1\/3 in 0, n, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 41*v**2 - 114*v - 80. List the prime factors of w(-39).\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 8:12 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2042488 is divided by 29178?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 10883.\nAnswer: -3\/10883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 3)*(-14*i**4 + 9*i**2 - 3 + 18*i**4 + 0 + i).\nAnswer: 8*i**4 + 18*i**2 + 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11617741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(2\/15)\/m)\/m**(3\/7))\/(m**(-4)*m**2))**(-8) assuming m is positive.\nAnswer: m**(-592\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 6*h. Let u be 98\/7*(-2)\/(-4). Let k be b(u). Calculate the highest common divisor of k and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*z - 4*z - 4370 = -25*z + 73*z for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 782318?\nAnswer: 2, 391159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 5*c**2 + 55*c - 180. Calculate the lowest common multiple of 2469 and p(3).\nAnswer: 24690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2040*a**2 - 2039*a**2 - 31*a - 4*a + 85. What are the prime factors of b(33)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1271 = -4*s + 4*t - 3263, -2*s + 4*t - 1006 = 0. Calculate the common denominator of 33\/140 and (-4)\/6*s\/116.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*y - 42 = 78*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 224436.6196585\nAnswer: -224435.6196585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 18*p**2 + 54*p + 23. What is the units digit of f(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w**2 + 5068*w + 5072 = 0 for w.\nAnswer: -1, 1268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 4*w - 53 = 4*q, 17*q = 3*w + 217 - 464 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xssffsffsxsxfsx. What is prob of sequence xxxf?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f**3*i**3*l - 34*f*i**3 + 101*i**3*l with respect to f.\nAnswer: 3*f**2*i**3*l - 34*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -522 times -3\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/(-14)*(-91)\/26. Solve 2*g = 4*g - r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.09?  (a) 5  (b) -1\/4  (c) 0.2  (d) 7.5  (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1276 = q + 2*f - 1312, 2*q = -2*f + 62. Suppose 0 = 2*p - 1 - 3. What is the remainder when q is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 141327383 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51908, -51821, -51578, -51101, -50312, -49133, -47486, -45293?\nAnswer: -42476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -4*r - 380, -w - w = 3*r - 205. Let q be 42\/w + 36\/14. Suppose q*y - 5*z = -8, -3*z + z + 20 = 3*y. Solve 2*a = 5*a - 3, y*l - 12 = -4*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.249944238 to four decimal places.\nAnswer: 0.2499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 8*z + 65065, -2*n + 29767 = -2*z - 13617. List the prime factors of n.\nAnswer: 109, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 16*v + 33. Let s(m) = -6*m - 12. Let f(u) = 11*s(u) + 4*x(u). Let j(r) = r + 23. Determine j(f(o)).\nAnswer: -2*o + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 9:52 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 2*g + 8. Let v = g - -15. Suppose 3*n = -4*z + 243, -z = -3*n + 2*z + 222. Calculate the greatest common factor of n and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.872823 times -0.5?\nAnswer: 5.4364115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 3*w - 8*w + 40, 5*w = 20. Suppose 8*k + 4*x = 4*k, 3*k = i*x. Let u be (72\/(-68) - -1)\/(2\/12). Which is greater: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/6*(-105)\/14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o. Let q(n) = 13*n + 3. Let m(i) = i - 1. Let f(d) = -2*m(d) - q(d). What is f(t(k))?\nAnswer: -15*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1494572 and 11355.\nAnswer: -1483217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -0*h - 3*h. Let c(m) = -15*m**2 - 9*m + 2. Let f be (-11)\/(2*2\/(-4)). Let s(g) = -8*g**2 + 5*g + 3*g + 1 - 19*g + 6*g. What is f*s(i) + h*c(i)?\nAnswer: 2*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 872491 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5171 and -0.01.\nAnswer: 51.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and 6037.\nAnswer: 18111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*k - 2)*(1 + 1 - 6).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 11:12 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14540 and 177800.\nAnswer: 129260600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 0.4, -9315.4, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 41941 = -5*u, 38*u = 36*u + d + 16774. What are the prime factors of u?\nAnswer: 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20 + (37 - 58) + (-8 - -1) + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*1\/(12\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 15. Let p(f) = -f + 17. Let i(a) = 4*p(a) - 5*r(a). Determine i(-14).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -w + 3*s, 2*w - 5*s + 327 = 358 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 99396 and 1035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((912\/(-36))\/(-19))\/((-364)\/(-117))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, q: 4, u: 3, d: 6}. What is prob of picking 1 q and 1 l?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhll when four letters picked without replacement from eeeleehlheelleellele.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 114 - 93. Let h = -3044371 + 3044391.99977. Let l = h - d. What is l rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 23 - (-75460)\/3234?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.448 - 0.44800323. What is h rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 12 = 3*a + 4*h, 0 = 2*a + h + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -77, 56\/17 in descending order.\nAnswer: 56\/17, -0.5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 28580063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29 + 18. Let w = -9 - a. Suppose -w*v + 0*v = 0. Solve v = -2*k + 3 + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5763 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.9 - 0.1. Let c = 287 - 281. Let f = k + c. Sort -2, 4, f, -4\/7.\nAnswer: -2, -4\/7, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151427 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -629\/9  (b) 0.1  (c) -2\/11  (d) -3\/4  (e) 5  (f) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 354807035 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363)\/((-3*sqrt(1100) - sqrt(1100)) + sqrt(11))*5)\/(sqrt(108) + sqrt(36)\/sqrt(108)).\nAnswer: -5*sqrt(11)\/247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -37*f**3\/6 - 173*f**2\/2 - 65*f. Let g be x(-9). Calculate the highest common divisor of 240 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1122768 divided by -7797.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 + 5*k + 2. Let c be d(6). Let o be (13\/(-297))\/(c\/(-12)). Let r = -2\/99 - o. What is the smallest value in 5, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2\/677?\nAnswer: 2\/677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, m: 2, j: 2}. Give prob of picking 1 m and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 612 = 20*x. Let q(o) = o**3 - 7*o**2 - 2*o + 7. Let m be q(6). Let n = m - x. Solve 2*j - 4*j - n = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6*(-3 + (-40)\/(-12)). Let w(p) = p**2 - t*p**2 + 3*p**2. Let q(i) = -3*i. Calculate q(w(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l**2 + 40*l - 36. Calculate g(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -215\/45579, -0.2, 0.07?\nAnswer: -215\/45579","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*i + 21. Let f = i + -4. What is the third derivative of -2*q**2 + f*q**6 - 9*q**6 + 9*q**2 - 7*q**6 wrt q?\nAnswer: -1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {i: 2, r: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do -8430 and -7900 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144 = 2*r - 23*v, 1461*v - 21 = -5*r + 1462*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - h = -2*x - 1762, 3530 = 2*x + 4*h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 - 18923300620286?\nAnswer: -18923300620285.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from jfjzyjjzzjzjjje?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32, -69, -168, -359, -672, -1137, -1784, -2643?\nAnswer: -3744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2347\/77 + -252\/11. Let m = 310 + -3901\/12. Let t = m + 359\/12. Find the common denominator of a and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 447.3 minus -206146?\nAnswer: 206593.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 594 = 4*o + 636, -5*z = 3*z - 24 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 3*m + 0*m**2 + 3 + 1. Let c be h(-4). Suppose -2 = -3*j + 4*d, c = 4*j - j - d - 5. Solve j + 13 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -26\/15  (b) -2\/15  (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 1 + 0)*(-2*x + 2*x - x) + 8*x + 29 - 29 + x + x + 0*x)*(-3*x**2 - 3*x**2 + 4*x**2).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3*j + 4. Let o be 16\/(2 + 2) - 1. Suppose o*t = -w - 9, 2*t + 2*w + 16 = -3*t. Let a be k(t). Is a > 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41, 94, 157, 236, 337, 466, 629, 832?\nAnswer: 1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/7 + (-128)\/7. Let n = l + 25. Solve -5*s + 2*x + n = -2, -3*x = -s + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l - 3544 + 150 - 3638 = 0. Is l <= -881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-165)\/(-60) + (-5)\/4. Let n(f) be the second derivative of 0*f**3 + y*f**2 - 1\/12*f**4 + 0 - 4*f - 1\/20*f**5. Determine n(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9342 divided by 3114?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 374682809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10719 + -7559. List the prime factors of d.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 322*f + 636*f + 812*f.\nAnswer: 1770*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*i + 58. Factor 2 - 17*k**4 + 28*k + 20*k**3 + 21*k**4 + 6 + i*k**2.\nAnswer: 4*(k + 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6535154 by -64.\nAnswer: 3267577\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3082465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 - 10*m - 1. Suppose -2*p - 51 = 5*b, -2*b + p = 2*p + 21. Let r be n(b). Suppose -r - 7 = -i. What is the greatest common divisor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, w: 7}. What is prob of sequence wwh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 3*l + 20 = 0, -4*a - 3*l + 58 = -0*l. Calculate the highest common divisor of a and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11299645 and 1700.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 + 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3958 + 224?\nAnswer: -3734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -437*351.41.\nAnswer: -153566.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - -5. Let y = 14 - f. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 15*z**2 + 25*z + 13. Let y be v(-28). Suppose -38*i = -33*i - y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/7 or -680?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 638822 and 1086?\nAnswer: 346880346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 827780?\nAnswer: 2, 5, 41389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 5*g - 16. Sort g, 2, 3 in ascending order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -7*p**2 - 13*p - 1. Let l(r) = 3*r**2 + 7*r + 1. Let t(j) = 5*l(j) + 2*z(j). Let b be t(-10). What is the greatest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/3))**(-6)\/(((l*(l\/(l*l**(-7\/3)\/l*l))\/l)\/l)\/((l\/l**(-2\/17))\/l))*(l\/l**(-2\/7))**(-14\/3)\/((l\/((l\/l**(-2\/13)*l)\/l)*l)\/l**0) assuming l is positive.\nAnswer: l**(-4019\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.2?  (a) -1\/80  (b) -3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 114.2822 grams?\nAnswer: 0.0001142822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -50.97 and 4?\nAnswer: 54.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -302211043 - 1433?\nAnswer: -302213031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) + (sqrt(171) - 2*sqrt(171)*-6) + sqrt(171))\/sqrt(9) + -4 + (sqrt(76)*1)\/sqrt(4))**2.\nAnswer: -128*sqrt(19) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - 9. Let c = a + 21. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36584 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 3)*(a + 0*a + 2*a)*(49 + 57 - 18) + 3 - 3 - a in the form z + q*a and give q.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52 divided by 132.\nAnswer: 13\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.070037 + -0.07. Round k to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -3. Let o = 1\/117 - 196\/117. Let x = -10.2 - -10. Which is the third smallest value?  (a) o  (b) g  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 - i**2 + i - 1. Let c(t) = -4*t**3 - 5*t**2 + 2*t - 10. Let d(h) = -c(h) + 6*g(h). Is d(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -44*q*w**2 + 2*w**2 + 46*w with respect to q.\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -6*j - 3. Let p be t(-4). Suppose -3*x - 4*g = x + 12, -p = 2*x + 5*g. Suppose -2*z + 6 = 0, -5*n + 0*n = x*z - 146. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -2  (b) 3  (c) -1\/2  (d) 7.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - (4*(sqrt(5) + -4 + sqrt(5)))**2) + (sqrt(125) + -4 - sqrt(5)) + 2*-5*sqrt(20)*-3.\nAnswer: -580 + 321*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(84) + sqrt(84) + (sqrt(84) - -1*sqrt(84)) + sqrt(84) - sqrt(84))*-6)\/(sqrt(108) - (sqrt(108) - sqrt(108)*-1)) + 1 + 0)**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 640995 is divided by 1337?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (8 + -3 - 1)*(-1 - -134).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 2, 1, 0, -43 in descending order.\nAnswer: 17, 2, 1, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(864)*-4)\/(1*sqrt(36)\/sqrt(3)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i + 59 + 52 + 16*i**4 - 105 + i**2 in the form d*i**4 + o*i**2 + m + g*i**3 + w*i and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 128 and 308?\nAnswer: 39424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 42408 - 22697. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -89*m + 7491 - 1261. Solve 35 = -7*b + m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 695 > -0.02663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/6*-1*(-199)\/((-12139)\/1342)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -169*j**4*k**3 - 2*j**3*k**3 - 3*j**3 + 67*j**2*k**3 + 4*k**3 wrt j?\nAnswer: -4056*j*k**3 - 12*k**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(q\/q**(-7)*q))*q*q**(-5)*q*q*q)**(-1\/17))**(20\/3) assuming q is positive.\nAnswer: q**(-160\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -284 + 266. Let o(m) = m**2 + m + 146. What is the units digit of o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/33 and 71\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of -z**4\/36 + 25*z**3\/18 + 13*z**2\/3 - 85*z. Find h such that f(h) = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 483299 is divided by 56?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-40)\/6 + 6 - (-34)\/6. Suppose -1219 = -r*s + 31. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 4558.\nAnswer: 1\/2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = x - 4*t, 0 = -4*x + t + 4*t + 33. Let p(b) be the first derivative of 853*b**3\/3 + b**2 - 7*b - 44. Is p(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 225625*t**2 - 2850*t + 9.\nAnswer: (475*t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 56 + -57. Let w(f) = -5*f**2 - 2*f - 1. Give w(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -251 + 251 + 68*i to the form q + a*i and give a.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*(-24)\/(-3)*2\/(-4). What is the tens digit of (a\/(-4))\/(60\/(-31) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i - 396 = 60. What is the remainder when i is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -56068*v - 2018449. What is h(-36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of 2*g**3 - 4. Suppose 3*z - 3 - 3 = 0. Let k(x) = -2*x**z - 2*x + 2*x. Calculate k(c(r)).\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of 0*u + u**3 - 1 + 3\/2*u**2. Let a = 1 + -3. Determine f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10128 divided by 13.\nAnswer: -10128\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 22*w**2 + 3*w - 5. Let t be o(-5). Suppose -4*b = -9*b + t. Suppose 5*r - b - 14 = 0. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 20 = -4*t, -5*s + 2*t + 0*t = -10. Let u(r) = r**2 - r - 4. Let q be u(s). Let n = -4 - q. Solve n*v - 8 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 15*a**2 - 59*a - 16. Is 13 a factor of k(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -4, -57, 5, 3.\nAnswer: -57, -4, 1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 133438.48 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, c: 3, k: 4}. What is prob of picking 1 e, 1 c, and 2 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 149*h**2 - 3416*h + 520. Calculate y(121).\nAnswer: -2868","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d. Let b(o) = -12*o**2 + 0*o**2 + 29*o**2. What is g(b(r))?\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 5752631.71 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 30 = u, -w + 0*w = 3. Calculate the least common multiple of u and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 1 - 3. Suppose -29 = 5*a + v, -3*a - y*v = 11 + 12. Let h = 18 + a. What is the remainder when 38 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 + 21. Suppose -4*o - 5*i = -22 + 2, 0 = -l*i + 16. Solve o*v - 2*v + 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17898*i + 295092 = 1404768 for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2300100133 (base 4) to base 6\nAnswer: 23250211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23041277 and 868?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 176*w**2 + w + w**5 - 2*w - 3 - 176*w**2 wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1012220 (base 4) in base 8?\nAnswer: 10650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1108.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*j**2*u**3 + 2*j**2*u**2 - 25982448*j**2*u + 14758*j*u - 398*j - 9*u**3 wrt j?\nAnswer: -4*u**3 + 4*u**2 - 51964896*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*v + 31 - 124 = 15. Which is the nearest to -2?  (a) v  (b) 2\/11  (c) 21  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h**5 + 918986*h**4 - 382189*h + 2?\nAnswer: -40*h**3 + 11027832*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1316170 != 1316194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 l, and 1 q when three letters picked without replacement from {l: 10, q: 1, y: 1, c: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -194276 - -0.44.\nAnswer: -194275.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -810193543 less than -314?\nAnswer: 810193229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00014299882142 to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 3*o + 4. Let g be -5 - -2*(60\/8 - 5). Determine b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*j + 447 + 85*j**2 - 86*j**2 - 450 to the form r*j**2 + s*j + q and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**(-2\/7)*o)\/o)**18*(o**3\/o)\/o**(-1\/4))**(-4\/11) assuming o is positive.\nAnswer: o**(-423\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -494 + 366. Let q = 133 + h. Let t(n) = -n - 2. Calculate t(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*v + 2*q = 33*v + 7, 0 = -v + q - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 2*g - 3. Let v be w(3). Let o be ((-135)\/2)\/(14\/14)*2. What is the tens digit of o\/(-10) + 3\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(119) + 6*sqrt(119)*-1)\/(-5*2*sqrt(7)) + 1).\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from opgeo. What is prob of picking 1 o and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p - 1154 + 1105 = 0. What is the units digit of 9 + (p - 8) - -1029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(6\/5)*u\/(u**(4\/7)*u*u)*u*(u*u**0)**(1\/4) assuming u is positive.\nAnswer: u**(123\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*n - 0. Let t be (n + -1)*1 + 0. List the prime factors of t + 17 + 3 + -7.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.83116 to three decimal places.\nAnswer: -0.831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the third derivative of 11*k**5\/30 - 29*k**4\/12 + 6*k**2 + 3. Find the second derivative of h(u) wrt u.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70 + -63 + 78 + -160.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -1330*x + 9350. What is the least common multiple of 282 and a(7)?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**5\/40 + 31*u**4\/16 + 38*u**2 + 1. Factor o(g).\nAnswer: -3*g*(g - 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4280396, -4280246, -4280096, -4279946, -4279796?\nAnswer: -4279646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0\/t**(4\/9))**(-6))**(11\/4) assuming t is positive.\nAnswer: t**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00006698 to six dps.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of b**2\/2 + 6*b + 5. Calculate d(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tjq when three letters picked without replacement from {j: 1, q: 3, t: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 139954 and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.053454 rounded to 3 dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172469?\nAnswer: 11, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-9)\/(-4))\/9*8. Let 1\/3*s**5 + 0*s**n + 1\/3*s + 0*s**4 - 2\/3*s**3 + 0 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 70\/(-5)*(-39)\/6. Let v = -40 + m. Let a = 105 - v. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 2*m - 5 = c, 5*m + 5 = -c. Solve k - 5*s + 6 = -10, m = -5*k + 3*s + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + -1 - (-90)\/(-30). Suppose 7*h + 12 = 3*h. Put -4, x, h in descending order.\nAnswer: x, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -12*x**2 + 2*x**2 - 2*x**2 + 8*x**2 + 2*x**2. Let h(j) = 2*j + 117. Give h(v(d)).\nAnswer: -4*d**2 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.21 + 1.11. What is the second smallest value in 1\/10, b, 2\/9, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2*(-3)\/(-6) - (-140 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 32 = 4*f, f + 30 = -5*v + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 128.497918\nAnswer: 25.6995836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.3 + -1.7. Let z = -1940\/2901 + 2\/967. Which is the biggest value?  (a) l  (b) -1\/8  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33322203 (base 4) to base 8\nAnswer: 177243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -23*g*i - 28925*g + 1478*i**2 + 7 wrt i.\nAnswer: -23*g + 2956*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.05, 0.314, -3\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 5*b = 79, 3*r = -0*r - 5*b + 121. Let f be r\/18 + 1\/(-3). Solve f*s - 2 - 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5446243.7785+-0.3\nAnswer: -5446244.0785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 95.6 - 96. Let t = 964 + -964.1. What is the closest to t in d, 0.4, 1, 61?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19528 - 19524. Calculate the smallest common multiple of 28 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -0.78, 5, -4?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 13\/65 - 979\/(-5). Let u = 352 - k. Suppose 12*z + u = 18*z. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -265 + -4776?\nAnswer: -5152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 divided by -6.\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -1 + sqrt(3) + -3)**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6069666 is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 114 - 114. Suppose 16 = -x*f + 4*f, 0 = -2*v + 2*f + 504. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, 30, 1, 1\/3, -6, 1\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -123, -247, -371, -495, -619, -743?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f**2 + 11*f + 14. What is s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**3 - 4*l**2 - 2*l. Let k be q(-2). Suppose -k*u + 4 = -2*u. Find the second derivative of -4*v**2 + 4*v - 4*v**2 - 3*v**u + 4*v**2 wrt v.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.7129*-2.9\nAnswer: 4.96741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 5) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1023 a factor of 4088398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 46 + 4. Let z = j - 7. What is the remainder when z is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -5166*m**2. Let r(i) = -4722*i - 1. Give r(n(c)).\nAnswer: 24393852*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of -s**4\/4 + s**3\/3 + 5*s**2\/2 - 4. Let g be l(-3). Solve 0 = -5*y + 2*n - g, -3*y + 3*n + 3 = 7*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 27.1 and 592.32.\nAnswer: 619.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1274\/5 - 118483\/465. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2903 - 219. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*b**3 + 36 - 36 + (-7*b + 3*b + 2*b)*(0*b**2 - 3*b**2 + 5*b**2) + (-3 - 3*b + 3)*(-1 + 6 + b**2 - 3).\nAnswer: -14*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2008\/184 + 1 + -12.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -767627 divided by -3.\nAnswer: 767627\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 3*n + 9 = 0, -9 = s + 3*n - 6*n. Let r = 6 + -3. Suppose 0*f - 3 = -r*f. Are f and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -625 + 0.128590101895\nAnswer: -624.871409898105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 615 * 13.709\nAnswer: 8431.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 PM and 3:42 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (0 - 1) + 59 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-2 + 0 + sqrt(3) + sqrt(3)))**2.\nAnswer: -72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 153*l + 298. Let k(i) = 3*i - 1. Let h(z) = -6*k(z) + v(z). What is the first derivative of h(b) wrt b?\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fjzf when four letters picked without replacement from {f: 2, z: 2, j: 8}?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 41579 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7395, -7399, -7407, -7419, -7435, -7455, -7479?\n\"Answer: -2*f**2 + 2*f - 7395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -4*g + 76. Let r be c(19). Suppose r = 5*s + 70 + 45. Which is smaller: s or -22?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*o + 3*s = -101*o + 145*o + 143, 0 = -3*s - 9 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 + 96\/5. Let h = 71\/3 - 24. Which is the third biggest value?  (a) x  (b) h  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c = 4 + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -38\/506153433 and 1\/458.\nAnswer: 1012306866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32, 39, 52, 71, 96?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2. Let m be u(2). Let z be 2\/m*-8*1. Solve -z*n - 9 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 367923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 195567?\nAnswer: 3, 19, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -n**3\/3 - 2*n**2 + 4*n + 4. Let o be 24\/3*1\/(-2). Let l be u(o). Let q(h) = h**2 - 7*h. Determine q(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 2*l = -9, p + 0*l - l = -8. Let z = -0.1 - 0. Which is the closest to 0?  (a) 4  (b) p  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -3*m**2 - 108*m - 311. Determine r(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1747655000 rounded to the nearest 1000000?\nAnswer: -1748000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -5*n + 8*n. Let i = 8 - 54. Let b = n - i. Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + z**2 + 5*z + 10. Calculate g(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/258 and -44\/301?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i - 4*i + 5*y + 145 = -4*i, 0 = -2*i + 5*y + 111 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -0*y. Let n be (-12)\/((y - -2)\/(-1)). Let s = -4 + n. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-465)\/62)\/((45\/(-6))\/(-5))*(-92)\/20\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 - 144 = -6*l. Calculate the lowest common multiple of l and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 - -16.2. Let d = 1.2 - i. Let k = 7691\/2 + -3846. Which is the third smallest value?  (a) d  (b) -3\/2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.11 - -5.11. Let w = -4 + u. What is the third biggest value in w, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in sixty-four fifths of a microgram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j - 991847 = 567153. Round j to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03 plus -30095307994?\nAnswer: -30095307993.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13617971480713 minus 0.2?\nAnswer: 13617971480712.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -321231012 - 3?\nAnswer: -321231021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + -7 + (10 - -10) + (3 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/3 - (0 + 1). Suppose 0*s + 3*k = -2*s + 18, 10 = s + c*k. What is the greatest common factor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14242103 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*q - 6*q - 20*q + (3 + 0 - 2)*(2*q - 5*q + q) + 3*q - 3*q + 6*q to n + j*q and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 5*w = -6*p - 40, 4*p = -w - 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 3:42 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*p + 9*p + 5*p**2 - p**2 - p**2 + 0*p**2 + (-p**2 - 4*p**2 + 4*p**2)*(-2 + 2 + 2) + 3*p**2 - 4*p**2 + 0*p**2 + 2*p**2 + 3*p**2 - 3*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 786*k**5\/5 - 652*k + 728. What is the first derivative of u(a) wrt a?\nAnswer: 3144*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l\/(l*(l**8\/l)\/l)))\/(l*l**25) assuming l is positive.\nAnswer: l**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 2:54 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/((-348)\/(-12180) - 243\/(-70))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 75*d**3 + 7*d**2 + 26*d - 6. Does 71 divide r(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 6:04 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + 280*m - 4091. Give y(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 3 = 3*f + q, -4*f = 2*q - 4. Let w = -2 + f. Let s = 32 + -32.5. Which is the third smallest value?  (a) s  (b) 0.1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - 2. Let y(n) = n**2 - 23*n - 42. Let g = -19 + 43. Let a be y(g). What is the nearest to a in 2\/5, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304) + -1)**2*3.\nAnswer: -24*sqrt(19) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.07 and -5397?\nAnswer: -377.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -85, -301, -673, -1201, -1885?\n\"Answer: -78*d**2 + 18*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -n*u**4*z + 210098*n*u**4 + 2*n*u**2 - 258570*n*u*z + n*u wrt u?\nAnswer: -24*n*u*z + 5042352*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24890948 is divided by 1330.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 359428 and 1888?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3\/2 + 36*c**2 + 288*c + 768.\nAnswer: 3*(c + 8)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -982*d**2*m**2 - d**2 + 164*m wrt m?\nAnswer: -1964*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 5*n - 10 = 0, -3 = -3*u + 4*n + 5. Let b be -25 + u + -3 + 3. Let t = -24 - b. Is -1\/6 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31453\/13266 - -181\/134. Let b = 1\/11 - x. Determine w, given that 4\/9 - 26\/9*w**3 + 2\/3*w - 4\/9*w**5 - b*w**2 - 2*w**4 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of n**5\/180 + 35*n**4\/144 + 13*n**3\/4 + 6*n**2 + 226. Suppose h(x) = 0. What is x?\nAnswer: -13, -9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -10.3. Let j = 105 - 111. What is the closest to j in u, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2093\/21 - (-2 - 5\/(-3)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -13. Let z(d) be the third derivative of 0 + 0*d + 9*d**2 - 3\/2*d**3 - 1\/60*d**5 + 1\/4*d**4. Give z(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -268 = 5*a - s, 5*a = -266*s - 255*s + 511*s - 235 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/10296 and -23\/288.\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/((((x\/(x*(x\/x**(-5))\/x))\/x*x)\/x*x)\/x))\/x)\/x**(-5))**(-7) assuming x is positive.\nAnswer: x**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 0.535, 20, 2\/9 in decreasing order.\nAnswer: 20, 0.535, 2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0113897 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of -t**6\/120 + t**5\/6 + t**4\/8 - 23*t**3\/6 + 424*t**2. Determine b(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3149, -3178, -3225, -3290, -3373?\n\"Answer: -9*y**2 - 2*y - 3138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 19, 15, 11, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -11. Is ((-7)\/b)\/((-7)\/(-105)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in -13.55, -4, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.26 + -1.26. Let v = -9\/35 + 29\/35. Put -2\/9, -4, v, q in increasing order.\nAnswer: -4, q, -2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**10)**(-1\/14)*(m\/(m*m\/((m*m**10)\/m))*m)\/(m\/(m\/(((m*m**14)\/m*m*m)\/m))*m) assuming m is positive.\nAnswer: m**(-75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 (base 9) in base 2?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*i = -22*i - 5*l + 59, i = -l + 19. Calculate the remainder when 46 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9384, 18979, 28576, 38175?\n\"Answer: p**2 + 9592*p - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + -2 - 21\/(-3). Suppose -d + 40 = -j*p, 12 = d - 2*p - 37. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 58\/3 and (-69)\/(-9)*6\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -354.431 + 354. Let p = o + 0.131. What is the second biggest value in 0.1, 6, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1033 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34698 - -34888. What is the least common multiple of n and 40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 522 and 18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 4 + 0*z - z - 6*z + 4*z. Let x be u(3). Which is the biggest value?  (a) x  (b) 0.1  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5652 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/(32\/60))\/(-1). Let j(o) = -o**2 + 17*o - 18. What is the remainder when j(x) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2 + 308*t**3 - 312*t**3 - 4.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**4\/2 + 3*x**2\/2 + x = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5 - -2635 - (1 + -1). Is 2\/(-3) + m\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -8355, 16 in decreasing order.\nAnswer: 16, 8, -8355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -592, -1237, -1868, -2479, -3064, -3617?\nAnswer: -4132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 184 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/((-3)\/(-3) - (-230)\/(-226)). Let i = 210 + f. What are the prime factors of i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -5\/6*n**3 + 5\/2*n**2 + 12*n + 1\/12*n**4 + 0. Let b(m) = -4*m**2 + 16*m - 16. What is -5*b(h) - 16*j(h)?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6910697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3 - ((3 - (-2 - -7)) + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 223213131 - -10?\nAnswer: 223213201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2345*p - 3345. Does 10 divide g(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 14001 and 657.\nAnswer: 9198657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 + 6*y - 1. Suppose -k - 14 = k. Let w be n(k). Sort 0, -5, w in increasing order.\nAnswer: -5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence htct when four letters picked without replacement from {t: 7, h: 6, c: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.004305 rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1559*p**2 + 773*p**4 - 3121*p**2 + 24 + 4*p + 1562*p**2 wrt p.\nAnswer: 9276*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*o - 96 - 30 = -826 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8922 is divided by 95.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2423 + 3651. Calculate the lowest common multiple of z and 2.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**4 + 7*n**3 - 7*n**2 - 6*n - 7. Let j(g) = g**3 - g**2 - g - 1. Let a(u) = -21*j(u) + 3*m(u). Find the second derivative of a(v) wrt v.\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88710 divided by 14785?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of 2*h**6 + 7*h**2 + 14. What is the second derivative of u(g) wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 15) to base 12\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177845*j = 177841*j + 4*d - 192, -3*j - 3*d = 150 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggtt. Give prob of sequence gg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*v - 1457 + 9374. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -6. Suppose w*n = -3*n - 33. Let o = n + 36. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 3 + sqrt(57)\/sqrt(3) + sqrt(19))**2 + -4.\nAnswer: 24*sqrt(19) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 14*f**2. Let n(a) = 5*a**3 - 3*a**2 + 5*a - 1. Let s be n(1). Suppose -s*i + 10*i = 3956. Let o(t) = -989 - 2*t + i. Calculate x(o(l)).\nAnswer: 56*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -68*(-658)\/13583 + -3.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 3) + (-9)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12874611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 0*j = 5*h - 42, -4*j = -2*h. Suppose -35 + 11 = h*t. Does 6 divide -24*(1\/t - 15\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**4 - 82*d**3 + 41754*d**2 - 1309238*d + 10760048 = 0. What is d?\nAnswer: -179, 17, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2422 is divided by 733?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10.6 and 1.5.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - -2)*-30*(-6 - 95\/(-15)). Put m, -6\/13, 0 in decreasing order.\nAnswer: 0, -6\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4763853.\nAnswer: 3, 103, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 218409858?\nAnswer: 2, 3, 59, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7297101*1.4\nAnswer: 10215941.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (((-39)\/(-144)*12)\/(48\/128))\/((-2)\/12)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 249116 and 5166?\nAnswer: 2242044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - 4*x + 10. What is the remainder when (72\/(-42))\/((-2)\/7) is divided by ((-6)\/4)\/(5\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5732*x - 1716*x - 2550*x.\nAnswer: 1466*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 147996*i**3 + 1174027*i?\nAnswer: 887976*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.381022 + -3.82106. Let z = -0.44 - a. What is z rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2439, -4880, -7321?\nAnswer: -9762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31032488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a - 4*a + d - 11, 23 - 52 = -a - 4*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -59, -62, -61, -50, -23, 26, 103, 214?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vwww when four letters picked without replacement from {v: 1, w: 4, c: 2, y: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10.4 + 9.9. What is the biggest value in 2, -4, 7, t?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 568378.\nAnswer: 2, 17, 73, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z\/(z*z**4)*z)*z*z)\/(z\/z**(-3\/10)))\/((z\/(z\/(((z**(-7)\/z)\/z)\/z*z*z)*z)*z*z)\/(z**(-7)*z)) assuming z is positive.\nAnswer: z**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2.414373 tonnes?\nAnswer: 2414373000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3001\/18 - 335\/2. What is the closest to -0.3 in u, 2\/9, -5\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 5:07 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29522922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.5  (b) -186  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 14*s. Suppose 3*y = 4*i + 30, 11 = -i - 3*y + 2*y. Let r be (-4)\/(-3)*i\/(-6). Let l(t) = -14*t + r*t**2 + 14*t. What is b(l(a))?\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4755 and 3795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15935150 by 57946.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-107)\/(-13161)*((-27)\/(-63))\/(4\/(-14))\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.1, -1\/6437 in increasing order.\nAnswer: -5, -0.1, -1\/6437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from ldqqlqqqd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 + 2*h + 55. Calculate g(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4939659 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 9*x**3 - 4*x**2 - 258*x - 5. Let f(d) = -13*d**3 + 6*d**2 + 387*d + 7. Give 7*b(z) + 5*f(z).\nAnswer: -2*z**3 + 2*z**2 + 129*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -20281151 divided by -5?\nAnswer: 20281151\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35)\/147*-7*2\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1054 is divided by 181?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10243763 and 27728.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of -q**6\/960 - q**5\/160 + 3*q**4\/64 - 14*q**3\/3 + 23*q**2. Let z(c) be the first derivative of v(c). Factor z(g).\nAnswer: -3*(g - 1)*(g + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {s: 1, f: 2, w: 1, q: 1, n: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 154 - (1 - (-2 + (-8)\/(-2))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34532525 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (294\/24)\/(2\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31*11\/1023*(0 + 36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/21 and -52\/834757?\nAnswer: 2504271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, f: 9, o: 1, m: 1}. Give prob of sequence ofn.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 791925 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-20) - (-46)\/10. Suppose 3*t = -15, 5*t - 3*t = -k*l - 15. Let y = l - -3. Solve -2*j + 16 = y*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.12, -3, -2\/5, 3\/8, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 139?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9884 - 9881. What is the closest to 1\/4 in i, 288.7, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -v**2 - 17*v - 61. Let n(x) = x + 8. Give 9*n(c) + 4*z(c).\nAnswer: c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11 is divided by (-53)\/(-11) + 2\/11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.329 rounded to one dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -25933*v**2 + 51750*v**2 - 25875*v**2 as o*v + u*v**2 + m and give u.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/33900 and 31\/100?\nAnswer: 33900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 3*p**3 + p + 4. Let c(q) = 2*q**3 + q + 3. Let g(n) = -n**3 - n + 3. Let a be g(0). What is a*s(z) - 4*c(z)?\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7628944 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 189*o - 534 - 619. Let m = 4100\/749 + -66\/107. Which is greater: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2655 divided by 9\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 876 by 6.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6a701 - 24a?\nAnswer: -6a94b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/2)\/(2\/(-8)). Suppose z*s + s = 0. Suppose 5*v - 1 + s = 2*m, 2*m = -5*v + 9. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5612 and 488?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 5*(96\/(-128))\/(9\/12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1110030300 + 132?\nAnswer: -1110030102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(-1) + (-19308)\/(-8)*(-18)\/(-3). What is the highest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (43 + -45)\/(1\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of 3*g - g + 2*g - 3 - 3*g. Let m(l) = 2*l - 6. Let j be 1\/3*6\/2. What is j*m(q) + 5*r(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 9}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/7 + 1516*s\/7 + 287282\/7.\nAnswer: 2*(s + 379)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*h = -24. What is the smallest common multiple of 22 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 4*1*sqrt(13))**2.\nAnswer: 32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/476*35*-6*3\/15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7.76 - -8. Let r = m - 0.14. What is the nearest to r in 0.2, -0.3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -2332245?\nAnswer: -2332252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - ((-22 - (-9 - 0) - -8) + (-1 - -87))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1181034 is divided by 95?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/621 and 28\/243.\nAnswer: 5589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -5\/2, 0.5, -1\/6 in descending order.\nAnswer: 0.5, 2\/7, -1\/6, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 9*y**2 - 1441*y + 8321. Calculate i(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 2*c**2 - 2*c - 2. Let q be ((-21)\/(-14))\/(((-14)\/(-52))\/(-7)). Let h be (182\/q + 5)*(5 + 1). Give i(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -p**6\/120 + 17*p**5\/20 - 53*p**4\/12 - 127*p**3\/6 + 112*p**2. What is the units digit of f(48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1550783 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 2:30 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 25660 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.686 - -340.686. Let j = -339.5 + u. Which is the biggest value?  (a) -0.4  (b) j  (c) 0.13  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 4*y = -219, 9*y = a + 8*y - 44. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/2585 and -59\/5679715.\nAnswer: 62476865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {f: 2, k: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 2642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 PM and 4:41 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -36217 times -5?\nAnswer: 181085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19262.259 nanoseconds to hours.\nAnswer: 0.0000000053506275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**4\/5 - 37206*p**3\/5 + 35799414*p**2 - 54992185762*p\/5 + 54098130312 = 0. What is p?\nAnswer: 5, 324, 9137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 + 2*s - 6. What is the remainder when 208 is divided by o(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1125\/2625*(-42)\/153?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 9) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -106*x**2 + 3*x - 5. Let h = 18 + -11. Let o be c(h). Let s = o + 56905\/11. Find the common denominator of -12 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, 8, 35, 96, 203?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + -8 + (24 - (-16 + -11)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the third derivative of 243\/112*k**8 + 0*k + 27\/10*k**7 + 0 - 2*k**3 - 51*k**2 - 6*k**4 - 37\/4*k**5 - 39\/8*k**6. What is d in n(d) = 0?\nAnswer: -1, -1\/3, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 255338 or 255368?\nAnswer: 255338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -477086, -477084, -477080, -477074, -477066, -477056, -477044?\n\"Answer: g**2 - g - 477086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5433, -4153, -2103, 717?\n\"Answer: 385*a**2 + 125*a - 5943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2869 + 23051\/8. Calculate the common denominator of w and -33\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of 563*r**4\/6 - 1015*r**2 - 176*r - 1. Differentiate b(m) with respect to m.\nAnswer: 2252*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34181147.\nAnswer: 7, 11, 13, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a53731 + 1?\nAnswer: a53732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a + 17682281?\nAnswer: 17682290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1510852696*c**6 + 488*c**2 - 11506*c - 6 wrt c?\nAnswer: 181302323520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4*y - 10 = 0, -4*y + 10 = 5*r + y. Suppose 4*m - r*j + 319 = -281, -4*m = -5*j + 600. What is the units digit of (m\/5)\/(-1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 432155*s**3\/2 - 1296470*s**2\/3 + 10*s\/3.\nAnswer: 5*s*(s - 2)*(259293*s - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + 23*m**2 - m - 45. Let u be g(-23). Is 13 a factor of (-2028)\/2*11\/u - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*m**3 + 15*m**3 + 247*m**2 + 2*m**3 - 247*m**2 - 41.\nAnswer: 7*m**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -m**5\/10 - 5*m**4\/2 - 103*m**3\/6 - 21*m**2 + 5402. Solve b(d) = 0.\nAnswer: -12, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -5 + -15 - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -857 divided by 1.\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76) + 2 + sqrt(76) - ((sqrt(76)*-3)\/sqrt(4))**2.\nAnswer: -169 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = -4*t + 10, 3*d - 6 + 0 = -5*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n + n - n)*(-4*n**2 + n**2 + 7*n**2) + (6*n - 6*n - 6*n**2)*(-4*n + n + 0*n) to i*n**3 + w*n + f + x*n**2 and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, 4\/3, -5, -0.4, 0.1 in decreasing order.\nAnswer: 4\/3, 0.1, -0.4, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) 2  (c) 55  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 124 divided by 62\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000119192 rounded to 6 decimal places?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/2*((-222)\/(-60))\/37?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 36 + 48 = 0. Let y(g) = -111*g + 12. What are the prime factors of y(k)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 5*y**2 + 4. Let a be j(-5). Suppose a*g - 20 = -g. Sort -2, -3, g in descending order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/4004 and 23\/8008?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 125*x - 76*x + 294 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + j + 5. Let h(w) = w**3 + 6*w**2 + 5*w + 1. Let p be h(-5). Suppose -p = -3*c - 10. Let x = 3 + c. Calculate b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -2\/13, 150\/7, 5, -1\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 l when three letters picked without replacement from qqldddqqqddqldd?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40 by 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 + 55. Suppose 10 = -5*i, -4*b = -3*i - 36 - 14. Calculate the greatest common factor of b and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -3*n**2 - 2*n - 1. Suppose 0 = 5*f + 6 - 16. Suppose u + f + 0 = 0. What is w(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -16143236 and -0.04888629.\nAnswer: -16143236.04888629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*y + 1694 = 224*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 3*p**2. Let k(j) = 14*j + 98. Let h(f) = 8*f + 49. Let m(y) = -5*h(y) + 3*k(y). What is u(m(o))?\nAnswer: 12*o**2 + 588*o + 7203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r**4 + 1607647*r**3 + 14468732*r**2 - 16076380*r = 0. What is r?\nAnswer: -1607638, -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3534983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - -57)*(-8)\/(-12). Suppose 138 = x - l. Let m(c) = 16*c**2 - 2*c - 2. Let q be m(-1). Calculate the greatest common factor of x and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-8))\/((-14)\/952). Suppose -136 + 34 = -l*n. Solve 5*w = 9 + n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-4) - 1\/(-2). Suppose -o + 10 = -i*o. Calculate the highest common divisor of o and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -11*x**3 + 5*x**2 - 3*x. Suppose 0 = -2*t, -321*r + 318*r = 2*t - 3. Determine h(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 592 divided by -809812.\nAnswer: -148\/202453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u + 14*u = -2*b + 151, 0 = 5*b + 2*u - 400. Calculate the highest common factor of b and 11778.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -26 + 5936*x - 5995*x + 1. What are the prime factors of k(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 326 is divided by 88?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2 - 2*p - 6*p + 4*p + 3*p. Is 10 a factor of a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -61 - 3*k - 4 + 65. Let c(a) = 2*a - 1. What is -5*c(n) - 4*f(n)?\nAnswer: 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4 + 14*h**3 + 49*h**2.\nAnswer: h**2*(h + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 3*p - 5*k, k - 47 = -p - 49. Solve p*x = 2*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 12:56 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 2091902\nAnswer: 2091902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 4:19 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6980561 is divided by 577?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 164569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -74, -12\/319 in increasing order.\nAnswer: -74, -12\/319, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -180 - 398 = -10*v - 24*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 251879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-76)\/16 - (-3)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 116273*l - 1 + 116277*l + 1.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (6*(-7)\/63)\/((-10)\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1730 times 3608.2\nAnswer: -6242186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 0 - 75 = 0. Let w = 30 - u. Solve -22 = -2*h + 5*l, -2*l - l = -w*h + 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34 + -9. Suppose g - x = -5*x + 22, 5*x = -b. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -6\/11  (b) -2  (c) -3717  (d) -0.4  (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 33*k - 119. Let q(t) = 2*t**2. Give h(q(m)).\nAnswer: 66*m**2 - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -3615 divided by -6\nAnswer: 1205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3\/1403 + 33705\/15433. Suppose -2*w = 15 + 1. Find the common denominator of 2 - (-3 - 234\/w) and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/18*(-4 - -4). Solve 3*y - 5*y + 4 = z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7.886 - 0.114. Which is the closest to -1?  (a) -2  (b) w  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -268*2\/(-4)*(-720)\/1260*14\/(-16).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.5536198 milligrams?\nAnswer: 0.0005536198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.5?  (a) -4  (b) -11\/3  (c) 0.3816\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/7 in 5, -0.2, -7.27?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 548317\/69 or 7946?\nAnswer: 7946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 11, z: 7, b: 2}. What is prob of sequence bo?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1083 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -855\/13, -0.4, 2.1, -1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-7))\/(28 + 5346\/(-189)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77094*d**2 + 1 - 1 - 31587*d**2 + 108683*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 38*x = 496*x + 189*x + 13699 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 1 - 6. Suppose 4*c - 4 = 0, -y*c = 2*q - 21 + 4. Solve q = -2*j + 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -z + 7. Let x = 4 - 5. Let f(c) = c**2 + 6*c - 5. Let l be f(-6). Put l, x, z in decreasing order.\nAnswer: x, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-114)\/(-3591)*-42*1488\/(-64).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 625, -42, -0.08?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -18*d - 14 + 11*d + 3*d - 3. Suppose 3*v = -23 - 4. Let w be u(v). Solve 4*i - k = -w, 2*i = k + 4*k - 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 835156 is divided by 818?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-36912.9.\nAnswer: -7382.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1694, 5228, 10606, 17828, 26894, 37804, 50558?\n\"Answer: 922*q**2 + 768*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8 - 2)*(-1)\/(-3). What is the third derivative of 3*f**5 - 3*f**r + 4*f**2 - 3*f**2 wrt f?\nAnswer: 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -526182.5660513 - -525076.566. Let w = -1106 - j. What is w rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 4*v + 3*n, n = 531*v - 527*v - 19. Let p(r) = -r + 6. Let x be p(6). Which is the nearest to x?  (a) v  (b) 0.5  (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/sqrt(80))\/(sqrt(10)*-2*-3 - sqrt(10)).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 10:15 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -5658185, -5658214, -5658263, -5658332, -5658421, -5658530?\n\"Answer: -10*z**2 + z - 5658176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 2*z - 11 - 12 = 0, 3*t - 5*z = 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.5 + 12.5. Let y = a - 21. Suppose 0 = 5*i - 3*p + p - 3, 0 = 4*i - 4*p. What is the nearest to i in y, -2\/19, -1\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from walllaf. Give prob of sequence aw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 80*u**2. Let i(b) = -201*b. Determine x(i(g)).\nAnswer: 3232080*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1699729 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + i)*(-1 - 2 + 2)*(-2*i**2 - 5*i**4 + 2*i**2).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 364 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d**2 + 47*d + d**2 + 0*d**2 + 122*d as g + a*d**2 + c*d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 8.7, -3\/7, -2952, -2\/3?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((sqrt(605) + 0)*-1 - 3*(sqrt(605) + 2)))*-1.\nAnswer: 7 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -59 + 89. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of -h**3\/2 + 5*h**2\/2 - 2*h + 14. Is b(-5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 469 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45110231, -90220456, -135330681?\nAnswer: -180440906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - (0 - (-17 - (-19 - -10))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((812\/(-29))\/168)\/(2\/12)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = x + 5*x, 0 = -82*p + 145*p - 60*p + 4*x + 25 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 + 410 = 4*p. Suppose -p = -16*y + 14*y. Suppose -38*g = -y*g + 9. Solve 0 = b + 2*b + g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 43130322244 - -1?\nAnswer: 43130322300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 10 = 0, -3*v - 4*t = -14277 - 3611. List the prime factors of v.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56457, -56564, -56759, -57054, -57461?\nAnswer: -57992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -26115357 - -11421696\nAnswer: -14693661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 224.5777ug?\nAnswer: 0.0000000002245777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - f + 2 + 0*f + f + f + (2*f + 3 - 3)*(5 - 4 + 0) + 0*f - 5*f + 4*f + (4 - 1 - 4)*(-4*f + 5*f - 3*f) + (5 + 2*f - 5)*(-1 + 2 + 0) + 3*f - 2*f - 4*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 440650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 58*m**2. Let l(v) = 3*v. Give l(d(a)).\nAnswer: 174*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11595826 (base 10) in base 4?\nAnswer: 230033000302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 182087, 364254, 546421?\nAnswer: 728588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Is (2 - -501) + 4\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24865 - -24864.80267. What is d rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3616 (base 7) to base 16\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163 = l + 160 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = -3*t + 46. Let s be (1 - t)\/(38 - 35). Solve 4*d - 2 - 18 = s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -758009a (base 11) to base 16\nAnswer: -cb4c9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (12812\/(-6))\/(4\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14668*0.8.\nAnswer: -11734.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 353510 + 5?\nAnswer: 353515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3 = -2*v + 46, 5*j = -25. Calculate the highest common factor of 72 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*21\/(2 + 1). Factor -3 + o - 3*f**2 + 0 - 4*f.\nAnswer: -(f + 2)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -2. Let m = 5 + -5. Let f = 0.9 + -0.7. What is the second biggest value in f, o, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 7:09 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - 2*k**2 - k - 55. Let a be f(0). Let m be (a\/(-2))\/((-66)\/132). Which is smaller: m or -111\/2?\nAnswer: -111\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11a53 (base 14) to base 10.\nAnswer: -43193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - -2. Let s = n + -10. Let v = -6.000009 - s. What is v rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1037279 - 1037279 - v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-4) - 118\/(-8). Let a = -4250 + 4338. Suppose -p*r = -32 - a. Solve r*x - 5*x = 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27924 and 8658?\nAnswer: 3099564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/(8740\/96) + 3 + (-28)\/10\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, -0.7, 25, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 792*c + 161 - 328 + 167 to the form r*c + i and give r.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70304139?\nAnswer: 3, 2603857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = f + 7. Let n(w) be the second derivative of -w**4\/12 - 13*w**3\/6 - 9*w**2 - 17*w - 2. Let k be n(f). Solve 3*l - 2 = k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (169\/13 + -58)*2\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23.3801 - 23.48. Let t = 0.1001594 + f. Round t to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4976111*i**6 + 2*i**5 - 7430875*i**2.\nAnswer: 597133320*i**3 + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(2 + sqrt(847)) + sqrt(847) + (sqrt(847) + -2*sqrt(847))*4 + sqrt(847) + sqrt(847) - (sqrt(847) + -1 + sqrt(847) + 1)*-1)**2*4.\nAnswer: 2112*sqrt(7) + 30748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -43148, -43172, -43198, -43226?\n\"Answer: -i**2 - 21*i - 43126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -48 + 44. Let v = 0.07 + -0.07. Let r = v + 1. What is the second biggest value in -1, r, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 u when four letters picked without replacement from {u: 9, z: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17*z**4 + 23*z**3 + z**2 - 18094 with respect to z.\nAnswer: 68*z**3 + 69*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -157*l - 110. Let g(n) = 7*n + 23. Let w be g(-4). Is 27 a factor of o(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p + 1. Suppose 5*r = 3*o + o + 8, -2*o - r = 4. Let c = -1 + o. Let u be j(c). Sort u, -1, -2 in ascending order.\nAnswer: u, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -11. What is the remainder when h is divided by ((-9)\/6)\/((-6)\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhsgnsgggcgg. What is prob of picking 2 g, 1 c, and 1 h?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of h**5\/60 + 5*h**4\/24 + h**2. Let c be b(-4). Let p = c - -1. Put p, 3, 5 in increasing order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 26657 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 2 x, and 1 o when four letters picked without replacement from goskkugskxguxx?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11 - 9 - 10*c**3 - 30 - 19 wrt c?\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (71 + 41 - 25)*(-3*k - k + 3*k)*(-2 + 6 - 3).\nAnswer: -87*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1917*s**2 + 1926 wrt s.\nAnswer: -3834*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9267 - 5394. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**4 - z**4 + 0*z**4)*(-5 + 3 + 0) + (-5 - 5 - 2*z + z)*(-128*z**3 - 173*z**3 + 91*z**3).\nAnswer: 206*z**4 + 2100*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 53733636599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.37 - 7.57. Let k = -6.2 - v. Sort 1, 2, k.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - -12)\/(3\/15). Let d = -86 + 108. Suppose 0 = -4*z + 4*l + 44, 2*z - 5*l = 4*z - d. Calculate the greatest common factor of j and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -253\/5 + 39. Find the common denominator of 49\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 4*o + 5, 256 = 4*z - 4*o. What is the remainder when z is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*j**3*o**4 - 2*j**3 + 14*j**2*o**2 - 18*j*o**4 - 3*o**4 + o wrt o?\nAnswer: 48*j**3*o - 432*j*o - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 1515*p - 20. Let f(r) = 4*r - 11. Determine -d(v) + 2*f(v).\nAnswer: -1507*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113371.\nAnswer: 113371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*d*f**2 + d*f*x + 2*d*x**3 + 10*f**2*x**3 + f**2*x - 6*x**3 - x wrt f.\nAnswer: 26*d + 20*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 132*o**2 - 4672*o + 26550. What is d(7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**3 - 1 - 72519602697*y**2 + 1 + 72519602697*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 3:40 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 5)*(42*n + 5 - 4 - 37*n).\nAnswer: -25*n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 50459.36 millilitres?\nAnswer: 50.45936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 6, 3, -5, 2 in descending order.\nAnswer: 6, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 55*c**3 + 7*c**2 + 2*c + 87. Is i(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 56, -2 in increasing order.\nAnswer: -4, -2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zuzaz. What is prob of sequence zu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -48649, -100552, -152455, -204358?\n\"Answer: -51903*v + 3254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (120\/(-18))\/(4\/(-6)). Let f(t) = 3*t**2 - 10*t + 2. Let b(w) = w**2 - w. Let h(s) = -2*b(s) + f(s). Does 13 divide h(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 508 and -2.8?\nAnswer: 510.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 10:33 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 8*u + 5. Let h(i) = -i - 1. Let s(t) = -46*t + 183. Let q be s(4). What is q*c(o) - 3*h(o)?\nAnswer: -5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 15 = 0, -5*j + 2*j + 25 = 5*d. Suppose -3*b = -2*i - 13, -5*i + 13 = d*b - 2*i. Solve f + g + 3 = -1, -b*g - 30 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44427825 and 15860.\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 120732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2 + 42*l - 25. Let c be n(20). Suppose -49 - c = -4*q. What is the least common multiple of q and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of -c**8\/336 + c**4\/24 + c**3 + c**2 + 36*c. Find the second derivative of a(f) wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8225922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is -8689.135 take away -49?\nAnswer: -8640.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 3*v**2 - 6*v**2 + 4*v**2 - 6*v. Calculate s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 o when four letters picked without replacement from fooohoofoshhh.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 284*c**2 + c**3 - 284*c**2 + 2 + c + 4*c**4 to the form q*c**3 + f*c + m + z*c**2 + y*c**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 353*p - 1040 = 273*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 + 25 + 4*d**4 - 2*d**2 - 14 in the form g*d**2 + z*d**4 + y*d**3 + k*d + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wuww. Give prob of picking 3 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*v, -18 = -18*k + 17*k + 4*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of o**7\/168 - o**6\/18 - o**5\/6 + 10*o**4\/3 + 9*o**3 + 4*o**2 - 1. Let t(a) be the first derivative of g(a). Factor t(s).\nAnswer: 5*(s - 4)*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1319332, -2638666, -3958000, -5277334, -6596668, -7916002?\nAnswer: -9235336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*n + 58 + 50 = 0. Suppose h + n*j = 3*h - 14, -2*j + 13 = 3*h. Calculate the remainder when 87 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3793139 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1619 + -781. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.5699 + -283.4099. Round x to the nearest integer.\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - 3150?\nAnswer: -3150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**3\/7 - 16*z**2\/7 + 34*z\/7 - 20\/7 = 0 for z.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 382?  (a) 0.5  (b) -2  (c) -46  (d) 0.3  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 633775790.\nAnswer: 2, 5, 1429, 44351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3 - 55*z**2 + 113*z - 57.\nAnswer: -(z - 1)**2*(z + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/77000 and 87\/8080?\nAnswer: 15554000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 + 10*g**2 + 6*g - 24. Let o be m(-9). Suppose 0*u - 12 = -3*u. Find b such that -2\/3*b**5 + 2\/3*b**2 + 0*b + 2\/3*b**o - 2\/3*b**u + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 937\/44 - -5\/11. What is the common denominator of z and (-634)\/(-96) - 4\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -71 in 1\/4, 0.3, 76?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of 2*u**7\/735 - 61*u**6\/280 + 69*u**5\/14 + 529*u**4\/168 - 4737*u**2. Factor h(d).\nAnswer: d*(d - 23)**2*(4*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.4 + 1. Let h = -0.1 + q. Let y(r) = r**2 + 6*r + 7. Let m be y(-5). Which is the smallest value?  (a) m  (b) h  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 4:14 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 25 - 20 = -5*v, c + 20 = 5*v. Solve 5*b - 2*p = -11 + 3, -2*b + c*p = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 23. Let w = 37 + x. Suppose 9*r + 16 = w*r. Solve 5*l - 6*l = r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/904800 and -79\/49764.\nAnswer: 9952800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/49 and 59\/385.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -4, 2, -10, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 389*p**3 + 2*p**2 + 32140 - 3*p**2 - 32139.\nAnswer: 389*p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.9 <= -1.7157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 448822 - 720360?\nAnswer: -271538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19040*p + 4 = -y + 19043*p, p + 2 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 5*b - 189. Let g(j) = -8*j + 189. Determine 4*g(m) + 6*v(m).\nAnswer: -2*m - 378","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5311 is divided by 43?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 43566879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - 4*g**2 - 5*g + 3. Let r be a(6). Suppose -3*s = -6*s - r. Is 4\/(-10) - 1011\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 4*t + 4. Let j be (-2 - 0 - 3)*-1. Give u(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 4*h - 74. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 127 = -5*s, -2*s - s - 5*w = -89. Suppose -s - 3 = -p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6092, 5675, 5258?\nAnswer: 4841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the second derivative of -l**5\/10 - 5*l**4\/12 - 2*l**3\/3 + l**2\/2 - 5*l. Let j be m(-3). Calculate the greatest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129779.\nAnswer: 13, 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a - 5. Let p(t) = t**2 + t - 1. Let v(q) = -5*p(q) + r(q). Let j(c) = c**2 + 2*c**2 + c + 2*c - c**2. Determine -9*j(l) - 4*v(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(175)*-1 + sqrt(175) + 5 - (sqrt(175) + (sqrt(175) + -2)*6 + sqrt(175)))**2 - ((sqrt(112) - (sqrt(112) + 0))*-1*5)**2).\nAnswer: -57445 + 6800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 824 is divided by 287.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1458 a factor of 60704585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1697033 to the nearest integer?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -212?  (a) 0.3  (b) -2  (c) -75  (d) -2\/3  (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4088701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3112705 and 1.08?\nAnswer: 3112706.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 - l - 1. Let q(s) = -5*s**2 - s - 7. Let y(x) = -q(x) - u(x). Let t be y(-4). Calculate the highest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**2 - 11*v + 5. Let h be r(-9). Let b = -38 - h. Suppose 4*x + 130 = 3*w - 0*x, w + 3*x - 26 = 0. Calculate the remainder when w is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -76 + -163. Let b = o - -243. What is the nearest to b in -2\/3, 0.09, -0.4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((1 + sqrt(280)\/(sqrt(30)\/sqrt(3))*-6)*6)**2 + 0.\nAnswer: -864*sqrt(7) + 36329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.052 times 63?\nAnswer: 3.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -5. Let o = -6 + 2. Let g = -3.1 + 3. Which is the third smallest value?  (a) g  (b) o  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = 31*i - 29*i - 36, 0 = i - 4*i + 4*z + 14 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {s: 1, y: 4, u: 7, f: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 768*g**3 + 11*g + 777*g**3 - 3 + 36*g**4 - 1547*g**3 wrt g.\nAnswer: 432*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5541511 (base 7) to base 12.\nAnswer: -28ab54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/9)\/l*l*l**3)**(-1\/2))**(-2\/13) assuming l is positive.\nAnswer: l**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1844 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of 0 + 1\/357*d**7 + 24*d**2 + 1\/1428*d**8 + 0*d**5 + 0*d**3 + 0*d**4 + 0*d + 1\/510*d**6. Factor q(a).\nAnswer: 2*a**3*(a + 2)*(2*a + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**3 + 30*x**2 + 80*x - 23. Determine i(-7).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1*sqrt(700))**2 + (sqrt(14)\/sqrt(2) + 4)**2*5 + 1.\nAnswer: 40*sqrt(7) + 819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -105*d**2 - 89*d**2 + 193*d**2. Let q(o) = 286*o**2. What is n(q(x))?\nAnswer: -81796*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 216517890137 and 1413.\nAnswer: 216517891550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 221 is divided by 78?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v + 4*z = 11*v + 68, -v - 13 = -5*z. What is the biggest value in v, 1\/4, 0.4, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*v - 4798 - 9004 = 21*v. Calculate the least common multiple of 1133 and v.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 308931 and 5008?\nAnswer: 4942896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -1543*c + 2071. What is the hundreds digit of g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 388 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 + 940*q + 3773. Let b be p(-4). Let y(s) = 17*s + 4. Let l(a) = 16*a + 3. Give b*y(v) + 4*l(v).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 234 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 675?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36219335.\nAnswer: 5, 7243867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(2499)*-1 - (sqrt(51) - sqrt(204)\/sqrt(4))*5)\/(sqrt(108) - (sqrt(108)*2 + sqrt(108))*2).\nAnswer: 7*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -4*z**3 + 4*z**2 - 4*z + 4. Let q(y) = -y**6 + y**3 + y**2 + y - 1. Let n(b) = 4*q(b) + t(b). What is the third derivative of n(v) wrt v?\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**2 - 41*p - 42. Let m be j(-1). Let l(t) = 7*t**3 + t**2 - t**3 + 0 - 5*t**3 + 1. Let y(v) = -v**3 - 2*v**2 + 2*v - 4. Give m*y(x) + 2*l(x).\nAnswer: x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = -1 + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 12:42 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1724\/15 - 115. Suppose -8*t = -9*t. Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 85015?\nAnswer: 1\/17003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.81 - -1.81. Which is smaller: l or 0.096?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1924949.\nAnswer: 13, 148073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 177 - -429b?\nAnswer: 4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 2*u - 1736. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**4 - 526*b**3 + 34740*b**2 - 581096*b - 1305376.\nAnswer: (b - 452)*(b - 38)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -8 - 140016*a**2 + 69975*a**2 + 70035*a**2 + 8. Suppose 5*y = 2*l + 22, 2*y - 4*y + 10 = -2*l. Let h(f) = 4*f - 5*f + y*f. Determine n(h(i)).\nAnswer: -54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1320 + 2461. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35456 is divided by 141.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -62, -85, -108, -131, -154, -177?\n\"Answer: -23*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5144, -5191, -5298, -5489, -5788, -6219?\n\"Answer: -4*o**3 - 6*o**2 - o - 5133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -68\/63 and -44\/374877?\nAnswer: 2624139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.8?  (a) 4  (b) 3\/28  (c) 0.3  (d) -4  (e) 0.294\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/2632 and -97\/24?\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) -3\/7  (b) 3\/13  (c) -2\/1215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + 5*q**2 - 7. Let b be g(5). Let a = b + 4. Suppose -3*m + 13 = -t - 7*m, 20 = -5*m. Sort t, a, 4 in descending order.\nAnswer: 4, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(5 + 2 + sqrt(1216)))**2.\nAnswer: 112*sqrt(19) + 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {s: 4, m: 2, g: 6}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 33 + -17. Solve 7 = -b - 3*g, -5*b = -4*g - 6 - n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -154380, -308553, -462706, -616833, -770928, -924985?\n\"Answer: z**3 + 4*z**2 - 154192*z - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 23 = 5*b - 13, -3*h = -5*b + 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = 2*s + 95. Let f = s - -871\/9. Is f smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(396) + 0)*-6 + sqrt(396))**2 + -4).\nAnswer: 49480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86 - 13*p + 181 - 95.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -5*m**3 + m + 2. Let l(t) = 98*t**3 + 3*t**2 + 1701*t + 6. Let q(k) = -3*d(k) + l(k). What is the second derivative of q(a) wrt a?\nAnswer: 678*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(120\/(-9))*(6525\/54)\/(-29)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -275*z = -14929 + 4479 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.3 + -0.9. Let l = 16.1 + -16.278. Let y = 0.028 + l. What is the third smallest value in -0.3, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -5*p - 5, 5*v = 5*p - 8 - 27. Suppose -p*z - 16 = 34. Let g = 27 + z. Solve 4*t - g*t = -4*n + 4, 3*n - 4*t + 8 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -0*r - 4*r. Let i be ((-4)\/r)\/(-1)*-3. Find the first derivative of -t**2 + t**i + t**4 + 1 wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + 2*t**2 + t - 2. Suppose 0 = 11*r - 40 + 7. Let l be 2*-6*(-2)\/(-4). Let q be 2\/l - (-7)\/r. What is o(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109849 is divided by 21491?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 39604 (base 16) to base 9\nAnswer: 387334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 41 - 29. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 2*f = 4. Let a be (-2)\/(-4)*1\/(f\/(-4)). Put a, 22, 4 in increasing order.\nAnswer: a, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (30\/(210\/(-14)))\/(((-2)\/(-20))\/1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(2*(-3)\/6). Let w(b) = -7*b**3 - 37*b**2 + 17*b**2 - b - 1 + 19*b**2. Let y be w(a). Solve 3*s = l + 13, -2*s = -4*l - y - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 14*d**2 - 54*d + 8. Let y be i(-7). Suppose -y*c + 16*c = -41958. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 + 49. Let u = t - 75. Calculate the remainder when (u\/(-6))\/(2*1\/84) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + l + 12 = 0. Suppose 5*p + 3*v = 172, -l*p + 109 = -0*p - 4*v. Calculate the remainder when p is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4*g - 2. Let q(j) = -3*j + 17 - 6 - 10. What is 3*q(c) + 2*z(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 28*b = 24*b + 2480, -5*b - 1282 = -2*c. What is the least common multiple of c and 1?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4*x - 42 = x, 4*y = x - 56. Let s be 20\/(-70) - 46\/y. Suppose 0*p = s*p. Let d(g) = -g**3 - g**2 - g + 16. What is d(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.5 and -8432376?\nAnswer: 8432376.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*o**4 + 1080*o**3 - 4485*o**2 + 5290*o = 0.\nAnswer: 0, 2, 23\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -781.\nAnswer: -2\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32083 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*p - 718257 = -3922060. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 53760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*c + 79 + 22*c**3 - 9*c - 56 in the form y*c**3 + x + q*c + r*c**2 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 585 divided by -195.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 144796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*t + 16*t + 730. What is the remainder when t is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + g - 6. Let z = 1 - g. Calculate the remainder when z is divided by (-39)\/(-15) + 4\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 463144 and 252624?\nAnswer: 2778864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3903.17501 and -0.09.\nAnswer: -3903.26501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5612454353 minus 19?\nAnswer: -5612454372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 + 7*k - 9. Let j(q) = -2*q**2 - 15*q + 16. Let y(z) = 3*j(z) + 5*v(z). Give y(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(1\/4)*y*(y\/(y**3\/y))\/y)\/((y**23*y)\/(y**7\/y*y)) assuming y is positive.\nAnswer: y**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26*i**6 + 104*i**2.\nAnswer: 3120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -47 or -2?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 5:59 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 49 = -4. Suppose c*t - 4*t = 0. Let r = 9\/17 + -11\/85. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*m + m. Let i be (-15)\/m*(-4)\/(-3). Let o(p) = -p**i - p + p. Let s(t) = t**2. Give s(o(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.5 + -11.5. Let u = -12 - r. Which is the biggest value?  (a) 0  (b) -1  (c) -0.4  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5627, 5638, 5653, 5672, 5695, 5722?\n\"Answer: 2*z**2 + 5*z + 5620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18425 * -6.\nAnswer: 110550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 - 15*z**2 - 9*z + 4. Let l(g) = g**3 + 14*g**2 + 9*g - 3. Let x(n) = -6*l(n) - 5*t(n). Let d(f) = -3*f - 2. Let p be d(2). What is x(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31642\/23143 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 36564455 to the power of 1\/2, to the nearest integer?\nAnswer: 6047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/369 and -25\/24846.\nAnswer: 74538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9 - -3)\/((-6)\/4). Suppose 0 = -m*z + 6 + 6. Suppose -z*f = 3*a - 15, 4*a + 2*f - 21 = -f. What is the greatest common divisor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 83, 77, 59, 23, -37, -127?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12133?\nAnswer: 11, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rmw when three letters picked without replacement from wywfmmir?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4006, -3981, -3956, -3931, -3906?\nAnswer: -3881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4a703 (base 11) in base 8?\nAnswer: -216024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 786978248?\nAnswer: 2, 7, 67, 349, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -40 at most -1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 + d + 2. Let m be v(-2). Let b be -3*(m\/(-3))\/2. Let p = 3 + b. Solve -3 + p = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h + 90*l - 87*l + 11, -l + 23 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5472166*s**3 - 56504975*s**2?\nAnswer: 32832996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*n**3*r**2 - 2322*n**3 + 170*n**2*r*t + 3*n**2*t + r**2 wrt r.\nAnswer: -8*n**3*r + 170*n**2*t + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5426677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (2 + sqrt(128) - sqrt(128))*-6 + (2*sqrt(128))**2 + 3)*1.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/7, 1, -5, 188\/9, 0.2?\nAnswer: 188\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 0 - 15 = 2*j, 3 = x. Let g be 0 + 1 + 0 - 2. Is j bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -88\/3*y**2 - 16\/3 - 3*y**4 - 64\/3*y - 16*y**3 = 0. Calculate y.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 4*p**3 - 3*p**2 - 3*p + 3. Let f(q) = 20*q**3 - 16*q**2 - 16*q + 16. Calculate -16*b(y) + 3*f(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 732\/(-19215)*5\/(-2).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 8*n - 6. Let h(i) = -8*i - 19 + 6 + 6 + 9 - i**n. Let b(k) = k**2 + 9*k - 2. Determine -5*b(z) - 6*h(z).\nAnswer: z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 2. Let i = 5 - t. Let k = -89 + 88.94. Which is the second smallest value?  (a) 0.5  (b) i  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2876, 2748, 2394, 1700, 552?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 294410 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**3 - 11*s**2 + 1 + 1 + 20*s**2)*((-5 - 3 + 0)*(1 - 3 + 1) - 2 + 4 - 3 + 1 - 1 + 1 + (1 - 6 + 3)*(-1 - 1 + 3) + 0 - 2 + 4 - 1 + 3 + 0).\nAnswer: 20*s**3 + 90*s**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2 - 108750*h.\nAnswer: 3*h*(h - 36250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1140, -897, -520, 57, 900, 2075, 3648?\nAnswer: 5685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 722 - -217. Let b = 707 + -704. Suppose k = 5*s - b*i - 6618, -s = -3*i - 1521. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3677 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1392 + -244. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*z - 39*z + 56 + 58 - 87 - 27.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 + 110*b - 1995. What is u(20)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14546 (base 10) in base 5?\nAnswer: 431141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 600 and 750.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 166 + -163. Calculate the least common multiple of u and 137.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -5*q - 92. Let a(r) = 2*r + 31. Let o(v) = 17*a(v) + 6*c(v). Find the first derivative of o(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 187989 + -370014. Let b = d + 108025. What is b rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -127660636 rounded to the nearest one million?\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -45*4\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/18*468\/429*143*(-9)\/(-6).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92 divided by 7.\nAnswer: 92\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -29. Suppose 3*w + 4*z + 16 = 0, 5 + 3 = 4*w - 2*z. Let i be w - 5\/(-10)*-2. Do t and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from xidfk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrjrurrusrrrjrjr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 16241809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -21107, -42207, -63309, -84413, -105519, -126627, -147737?\n\"Answer: -d**2 - 21097*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2006300 rounded to the nearest ten thousand?\nAnswer: 2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 41941*y + 84067. What is n(-2)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + (8 - 4) + -8. What is the units digit of 4*x\/(-112)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 6*a**2 + 9*a + 5. Let o be t(-7). Let r = o - -5. Let n(g) = 2*g - 6. Let x(f) = -f + 3. Calculate r*n(z) - 9*x(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-34)\/3)\/((-800)\/240).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -488 + 534. Suppose -u + 83 = g. Calculate the remainder when u is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124 a factor of 283600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29211 by 107.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 - 7)*(180*y**3 - y**2 + y**2 + 10*y**3).\nAnswer: -2090*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17451*k + 17452*k - 1 - 52358*k + 1 + 17452*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.32 times -3.96\nAnswer: -1.2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 48 + -34. Which is the biggest value?  (a) -2\/9  (b) -4\/5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 43*c**2 - 123*c + 4. Give k(2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + 29 + -4 + -77.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 37805520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 41*z**2 - 6. Let h(l) = 123*l**2 - 17. Give 4*h(o) - 11*n(o).\nAnswer: 41*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4405 and -925.\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from yyiyyiyiuiyiyyyyy.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -3*g - g**3 + 21*g**2 + g + 17*g**2 + 17*g**2 + 6 - 61*g**2. Let c(u) = 2*u**3 + 11*u**2 + 3*u - 11. Determine -6*c(r) - 11*n(r).\nAnswer: -r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2*4)\/(9*40\/1980)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 3. Let s(f) = f**3 - 35*f + 50. Let j be s(5). Suppose 5*k + j*k - 15 = u. Solve -z = m + 4, -z = k*z - 2*m - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8429.\nAnswer: 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -82*(-2)\/(-42).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/154 and -37\/7.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -61148 + 103621. List the prime factors of h.\nAnswer: 42473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 144 divided by -6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 672 is divided by 332.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -22*f**2 - 97*f + 191. Calculate b(2).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 12:29 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 95 and 1812341315.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 465151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lkeaucaaceuc. What is prob of picking 1 a and 1 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5417, -5031, -3985, -1949, 1407, 6413?\nAnswer: 13399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-346)\/(-3))\/(3\/18). Suppose -h + 142 = r, h + 4*h - 4*r = s. What is the units digit of h*4*4\/40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9979 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0.5  (b) 0.3  (c) 14  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.46 in 1\/2, 3, 0.4, 43, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/44 and (-8 - -4) + 7 - 33\/(-9).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(0 + 6)\/(-6). Is (54\/72)\/(0 + t\/(-9644)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 210 - 566. Let d = -334 - r. Is 0.2 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxvvvxxvxxvvv. What is prob of picking 2 v and 2 x?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -414*j**2 - 431*j**2 + 1261*j**2 - 413*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 + 5*d - 1. Let u be j(-6). Solve n = u*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, y: 1, d: 4, f: 1, s: 6, p: 1}. What is prob of picking 1 e and 1 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -5*j**2 + 3*j - 4. Let o(p) = -11*p**2 + 5*p - 10. Let r(u) = -13*n(u) + 6*o(u). What is r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96112 is divided by 270?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1106605 (base 12) to base 15\nAnswer: -441bd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 15*30382\nAnswer: 455730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -72090.48 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/8)\/((-12)\/(-48))*((-3000)\/270)\/50.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 156 + 117 - 51 - 16 - 23*u + 94 as k + i*u and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48661.24mg to tonnes.\nAnswer: 0.00004866124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 4*x. Let p(j) = j. Let c(h) = -14*p(h) + 2*z(h). Let v be 16\/((-832)\/(-65))*4. Let i(t) = -5*t + 1. Let n(y) = v*i(y) - 4*c(y). What is n(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 491, 980, 1469?\nAnswer: 1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -63\/8*j + 31\/4 + 1\/8*j**2.\nAnswer: (j - 62)*(j - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2\/8213 + -98534\/90343. Sort 2, c, -5 in increasing order.\nAnswer: -5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-1\/5)*v))**22*(v**11*v)\/((v*(v*v**(-1\/2))\/v)\/v))**(18\/11) assuming v is positive.\nAnswer: v**(1521\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 2246 = 5*s - 3*q, 2*s - 906 = 5*q. Differentiate 163*y - 586 + s + 410 wrt y.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, 5, 0.1, 0.038, 3\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - 16*f + 22. Let c be p(14). Round c to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f + 2*f - 25689*r = -25691*r + 16, -3*f - r + 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 118 - 125. Solve -n + 2 = r, 0 = -5*g + 2*n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 521*r*t*u**2 - r*t + 7702*r*u + 2*r - t*u**2 + 5*t*u - 42*u**2 + u wrt u.\nAnswer: 1042*r*t - 2*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 147 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 4*f - 670395, 17*f = 22*f + 4*r - 838045. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lltttrlr. What is prob of picking 1 r and 1 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 4 + -1 + -8 + -53 - -6\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 1236*x + 1234*x - 18 = 0, 3*v + x + 12 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of -r**4\/12 + r**3\/6 - 5876*r**2. Let u(f) = 234*f**2. Calculate u(s(i)).\nAnswer: 936*i**2 - 936*i + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 167*b - 490. Give d(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-15))\/(11\/165*10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4001.\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -3*n**2. Let o(q) = 7. Let b(h) = -8. Let t(m) = 6*b(m) + 7*o(m). Let a(l) = -6*l - 30. Let g(f) = a(f) + 30*t(f). Calculate g(x(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**3 - g**3 + 2*g**3)*(2*g - 5*g + 5*g) + (-8*g - 18 + 18)*(2*g**3 + g**3 + 0*g**3).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 801, 3045, 6791, 12045, 18813, 27101?\nAnswer: 36915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 273.23374 + -101.233901. Let t = 0.05 - 172.05. Let y = t + r. What is y rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 4793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 20\/(-15)*(-6)\/2. Suppose -x*c - 10 = -6*c. Solve -11 + 3 = 2*i - 2*y, 18 = -c*i + 4*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 19*o**2 + 37*o - 23. Let l be z(20). Let u = 953 - l. What are the prime factors of u?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, q: 2, n: 1, l: 1, z: 3}. What is prob of sequence zq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 16 = 6. Let b(o) = -o - 4*o + 4*o + 5 - 4*o. Give b(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = 3*a + 9, -a = -2*o - 3*o + 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -w + 5*h + 12, -4*h - 10 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/24 of a minute in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xux when three letters picked without replacement from rnnxnrrrxunrxunnn?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**23)**(9\/2)\/(w**(3\/7)\/w)**(-22) assuming w is positive.\nAnswer: w**(-781\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 39\/234*4668\/2. Let g = c - 391. Suppose -2*m = -4*m - 6. What is the closest to 1\/4 in m, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 + 19. Is -2\/161 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/(-6))\/(((-390)\/26)\/120). Sort -3\/8, -0.2, 0, 265, g.\nAnswer: -3\/8, -0.2, 0, g, 265","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2 = -0, 3*w + 3*o = 0. Calculate the remainder when 85 is divided by 85\/2 + w\/(-12)*6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + -9. Let k be (-2)\/10 + (-4)\/w. Do k and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 221*n = 213*n + 120. Solve 5*b = -5*a + n, 5*b - 3*a - 17 - 6 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-1*sqrt(110) - sqrt(110))\/sqrt(10).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 526 + -531. Which is the biggest value?  (a) 2\/3  (b) p  (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**4 - 105*d**3 - 1710*d**2 - 1600*d.\nAnswer: 5*d*(d - 32)*(d + 1)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 39738602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/72 and 19\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -12. Let s(n) = 0*n - c - 2*n + 5 + n**3. Calculate s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 11*q**3 - 8*q**2 - 12*q + 7. Let r(b) = 5*b**3 - 4*b**2 - 5*b + 3. Let u(j) = 4*g(j) - 9*r(j). Determine u(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/14 + 424\/28. Let w be 1\/(0 - -1) + 44. What is the highest common divisor of w and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 159*c - 2245. What is o(14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 5:03 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3 - -2737015616171\nAnswer: 2737015616168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-2)*v)**(-45)*(v**(2\/3))**22)\/(((v\/(v\/((v**0*v)\/v)))\/v)**32*(v**(1\/3))**(26\/7)) assuming v is positive.\nAnswer: v**(-942\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.3 + -2.2. Let g = n - -0.6. Suppose 0 = p - 23234 + 23237. Which is the second smallest value?  (a) -4  (b) p  (c) g  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 143 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 8:58 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 322701442 is divided by 1209.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 322 - 7*g + 1384 - 14*g + 20*g.\nAnswer: -g + 1706","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-127)\/(-120))\/((-492)\/(-328)) and 133\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -1100?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 8*l = 2380. Suppose -4*i = -5*z + l, 109 = 5*z - 3*i - 368. Let c = -64 + z. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 564 and 32336?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 618 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 483 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26 or 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91*l = 167*l - 7600. Let f be 10*3*(-2)\/(-3). Calculate the highest common divisor of f and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -1\/2*k**2 + 0*k - 13 + 2*k**3. Find the second derivative of j(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 24 = -b, 0 = -7*b + 3*b - 2*q + 42. Let y = b + -5. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -16a + -1?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 465 - 450. Calculate the greatest common factor of w and 3345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4285.444um to meters.\nAnswer: 0.004285444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1996211214 and -0.2.\nAnswer: 1996211213.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 182228422 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**2 + 3*h**2 - 5*h**2)*(8*h - 28*h - 21*h) + (h - 1 + 1)*(1 + h**2 - 1).\nAnswer: 83*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23764 - -23763.9999983678. What is q rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 9 = 6. Suppose -p*z = 5 + 1. Which is the second biggest value?  (a) 2\/11  (b) z  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than -13078?\nAnswer: -13077.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1129127205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jtj when three letters picked without replacement from {y: 2, j: 4, k: 5, t: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -4*x - 3*b - 0, 0 = 4*x - 3*b + 26. Let a be (1 - 3)*8\/4. Put 1, x, a in decreasing order.\nAnswer: 1, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 256.6 - 234. Let o = -36 + z. Let w = o + 16. What is w rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 135  (c) 0.02  (d) 2  (e) -72  (f) -5  (g) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.0499 + 424.7499. Let a = o + -792.9. Round a to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 32333\/13 - 2487. What is the second biggest value in h, 3, -6, -1\/2, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 19954704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -27*b**2 + 583*b - 116. Let c(u) = 4*u**2 - 97*u + 19. What is 13*c(v) + 2*x(v)?\nAnswer: -2*v**2 - 95*v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of -u**7\/7980 - u**6\/855 + u**5\/228 - 20*u**3\/3 - 2*u**2 + 101. Let m(o) be the third derivative of z(o). Factor m(r).\nAnswer: -2*r*(r - 1)*(r + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u + u + u**2 + (-4 + 2 + 3)*(2*u**2 - u**2 + 0*u**2) + 54421 + 2054*u**2 - u - 54424 + 2267*u**2.\nAnswer: 4323*u**2 - u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4542ac (base 15) to base 4.\nAnswer: -30212310201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 2*c**2 - 6*c + 3. List the prime factors of d(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20200 - 12201201?\nAnswer: -12222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -m + 4769, 5*n - 2*n + 15 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 1 = 2*h. Let t be (-1513 - -5)*(-26)\/h. Let w be (0 - t) + 0 + 1. What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 190 - 120. Let l = 81 - a. Suppose 5*j - 35 = -10. Solve j*r + 2 = -s, 0*s - l = -5*s - 4*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 19*c**2 - 18*c + 7. Give j(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 14) + -3 + 8 - (-6 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**(-2\/5))**19\/(q\/(q*q**(-1\/6)))**20 assuming q is positive.\nAnswer: q**(634\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 4. Let n(j) = j + 5. Let x be n(h). Is (1 - (x + -21)) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8308194.\nAnswer: 2, 3, 1384699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d - 25 = 12*d + 5*j, 4*d + 5*j + 25 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3 - 9 = 0. Suppose 2*p + 2*h = -h + 532, -4*h - 504 = -2*p. Suppose u = v*u - p. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -522*h**2. Let v(a) = -a - 57534. Give v(w(x)).\nAnswer: 522*x**2 - 57534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*n = 33*n - 8. Let a be 8\/(-44) + (-40)\/22. Let j be (-9 - n)\/(a\/(-5))*2. Is 1 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -15.3  (b) -1.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a millimeter in micrometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 41446874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 140*m + 48 + 27*m**2 + 24*m - 26*m**2 - 44*m**3 + 71*m**2.\nAnswer: -4*(m - 3)*(m + 1)*(11*m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 13, 65702?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 39 and 69?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 3:47 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 90*i**2 - 1 + 47*i**2 - 4 - 25*i**2 + 6 as t*i**2 + a + d*i and give t.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 + 12*n**2 - 10*n - 5. Let k be r(11). Let x be -209 - (-2 + k) - -4. Let s = 388 + x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.4658 minus 151406?\nAnswer: -151414.4658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10.825741 - -34206.\nAnswer: 34216.825741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2205 and 156848.4.\nAnswer: 159053.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, -3, -28, -6, 0 in ascending order.\nAnswer: -28, -6, -3, 0, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d + 5. Let q be u(0). Find the second derivative of -7*r - 4*r**3 - 3*r**q - 3*r**5 - 22*r wrt r.\nAnswer: -120*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 4\/13, -28, 4 in decreasing order.\nAnswer: 4, 4\/13, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 131\/12*(-5148)\/(-429).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 102 - 3?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.6 + 0.4. Let d = 3 + p. Which is the second smallest value?  (a) 0.4  (b) d  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, 2, 5, 312, 0.5 in decreasing order.\nAnswer: 312, 5, 2, 0.5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 0)*1 + 0. Suppose 2*s + 0 = -d - g, -2*s = -2*d + 10. Suppose d*j - 44 = -j. Solve 4 = -y + i, i + j = -2*y - 0*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3889 * 4608\nAnswer: -17920512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {t: 1, w: 1, u: 5, z: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 26*f = 42 - 617 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**15\/i)\/i*i*i**19)\/(i\/(i*i**(1\/5)*i))**(-2\/11))**5 assuming i is positive.\nAnswer: i**(1803\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 117187365 > 117187366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -112210122 (base 3) to base 6\nAnswer: -121542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.07 from 561.9692.\nAnswer: 562.0392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 812.1285 years to decades.\nAnswer: 81.21285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 116 + -101. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 5*x**2 + 6*x - 4. Let l be v(-4). Let r = -235 + l. Let y = r + 121. Solve -5*k = -4*b - 13, 4*b = k - y*k + 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35511?\nAnswer: 3, 7, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1688138 * 0.4.\nAnswer: 675255.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -2\/9, -16\/3, 0.4, 0.05 in descending order.\nAnswer: 0.4, 0.05, -1\/7, -2\/9, -16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o**2 + 5*o**2 - 6*o**2 + 19 - 3*o**2 + 4*o**2 + 16*o to the form i*o + m + h*o**2 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u**2 + 3*u**2 - 27*u**2.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3913962366687 less than 2?\nAnswer: 3913962366689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 - -5. Let r = 18 + u. What is the greatest common divisor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -311124?\nAnswer: 311134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/p**12)\/p)\/(p*p**(1\/17)))**(-26))**(6\/23) assuming p is positive.\nAnswer: p**(34632\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -0.229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + -536720.0075.\nAnswer: -536721.0075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*w**5 + 24*w**4 + 18*w**3 - 3*w = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or 20\/11?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/4 + 203*j\/4 + 89385.\nAnswer: -(j - 708)*(j + 505)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - p - 24 = 0. Let b = -5 + p. Solve -2*i - 31 = -5*d, -4 = b*d - 4*i - 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3434123473?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 9 - 21. Let v = -1144 - -1144. Suppose 4*b + z - 50 = -p*z, -2*z - 4 = v. What is the highest common divisor of 30 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (-4 + (-20 - -43)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -21  (b) -0.1  (c) 0.03  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 6*f - 24. Let z be a(8). What is the units digit of 9\/z + 158328\/192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 347 + -262. Let g = n - 88. Which is the nearest to -0.1?  (a) 7  (b) -0.1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.18 - 0.02. Let p = 1.127 + -0.027. Which is the second smallest value?  (a) -1  (b) p  (c) q  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 292483.4925 to the nearest one hundred.\nAnswer: 292500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -302*g - 302*g = -608*g + 4*r - 92, 3*g - 4*r = -67 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99 = -31*o - 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 11 + 13 = 0. Let f(s) = s**2 + 7*s + 8. Calculate f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c**2 - 7*c**2 + 8*c**2 - 154696*c + 154696*c - c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14853*x**2 + 15875?\nAnswer: -29706*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u + 284 - 558*u**2 + u**4 - u + 1113*u**2 - 284 in the form i*u**3 + l*u + z*u**4 + q*u**2 + o and give q.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2050537 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 9635424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5074*w**2 + 5430*w + 1.\nAnswer: 10148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34 - 14. Suppose o*n - 10*n = 110. Solve -a + 4*h = -n, -2*a - 2*h - 2*h = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 14 = -4*x, 0 = 2*s - 9*x + 6*x - 28. Which is smaller: s or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -1580940.57 to the nearest one thousand.\nAnswer: -1581000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7098*t + 4679*t - 186263 = 0 for t.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8236767392108104.9999953 - -8236766742765160. Let v = 649342902 + w. Let h = v + 43. Round h to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 9) + (-3 - -1) + 1 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 379*l = 376*l - 21, 0 = a + 3*l + 29 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 - -0.1. Let p = x + 1.1. What is the nearest to 3\/7 in -0.1, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4626 - -4767. Sort -5, 5, f, 2 in increasing order.\nAnswer: -5, 2, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1792 and 988?\nAnswer: 442624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -51 + 3*r**2 + 29 + 22 + 6*r to s*r + h + g*r**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 162 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12748301.70000012 - -12748301. Let l = 1.1 + -1.8. Let q = b - l. What is q rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u. Let z(c) = -4*c**2 + 3*c**2 + 14*c**2. Give f(z(v)).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 3:30 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 - 3*w**2 - w - 1. Let i be m(-2). Let l be 2 - 135\/25 - i. Is -45 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 4*m - 4, -3*m - 4*f = -m - 8. Solve -3*p = -2*b + 1 + m, 0 = 2*b - 2*p - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2184811 (base 9) in base 13?\nAnswer: -32324b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3461 or 0.1?\nAnswer: 3461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -140*695389.\nAnswer: -97354460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31064491 by 274907.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of -b**4\/12 + 3*b**2 - b + 2. Let m(y) be the first derivative of d(y). Let h = 115 - 115. What is m(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*r**3\/5 + 471*r**2\/5 - 7086*r\/5 - 1512 = 0. What is r?\nAnswer: -1, 18, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -38, -5\/3, 0.2 in ascending order.\nAnswer: -38, -5, -5\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/9*(-432)\/(-120).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15327480.\nAnswer: 2, 3, 5, 7, 71, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -296429 + 483779. Let s = 187452.059 - j. Let k = -102 + s. Round k to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.9 - -4. Suppose n + 4*u = 22, 0 = -3*n + 16*u - 19*u + 21. What is the smallest value in n, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 1740*u + 24361. What is y(-14)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4315*g**2 - 4174*g**3 - 4019*g**3 + g + 4315*g**2.\nAnswer: -8193*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 2*y + 45. Let v = y - -32. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1021062.\nAnswer: 2, 3, 7, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 27062679223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -451 - -0.0739588.\nAnswer: -450.9260412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f**4 - f**3 + f**2 + f - 1. Let l(b) = -60*b**4 + 2*b**3 - 540*b**2 + 3*b - 3. Let s(v) = -l(v) + 3*u(v). Find the third derivative of s(z) wrt z.\nAnswer: 1296*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*k - 1540 = -k + 124*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - (-38 + 71 + -70).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -124 - -121. Let r be (18\/144)\/((-1)\/(-4)). What is the smallest value in b, -5, 2\/7, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bpbphhqqbqqhqmhqqm. What is prob of sequence hph?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 254628114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-13*l**2 + 33*l**2 + 12*l**2)*(-7 + 7 - 8*l) + 0*l + 0*l - l**3)*((-4 + 3 + 2)*(2 - 1 + 1) + 2 + 0 - 1).\nAnswer: -771*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5*g = -4*g - 27, 4*g = -8. Let o = 31 + q. Suppose 3*a = -5*n + 2, a - 5*a - 2*n - o = 0. Is -12\/5 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -31*b**3\/3 - 25*b**2\/2 + 52*b. What is the tens digit of z(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/(-26))\/(-1 + -18 - 11100\/(-555)). Factor 0 + y*j**4 + 56\/13*j**3 + 12\/13*j + 50\/13*j**2.\nAnswer: 2*j*(j + 6)*(2*j + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 11, 2\/15, -1\/4, -2\/5, 471?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42288 = -1985*v + 1982*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 301 (base 5) to base 7\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.06259*9\nAnswer: -0.56331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(231) - sqrt(231)*2))\/(sqrt(7) - sqrt(28)\/sqrt(4)*2))\/((-2*sqrt(3)*-2 - (-6*sqrt(12) - sqrt(3)))*-5).\nAnswer: -2*sqrt(11)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-4*sqrt(1700))**2.\nAnswer: 27198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 38282055 to the power of 1\/2, to the nearest integer?\nAnswer: 6187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0.01, 3\/5, 1, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -0*q - 3*q - 33, -3*p + 2*q = -24. Does 11 divide 40\/p*(-24)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2537.69 + 2499. Let j = -39 - n. Let z = j - -9.81. Round z to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 4*b + 2. Let i be g(-4). Let x(d) = -d**3 + 4*d**2 - 2*d - 1. What is the remainder when 8 is divided by x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5077296 divided by 20148.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13740462 a multiple of 4801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, e: 2, d: 8, l: 3}. What is prob of sequence ldx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 35, 9, -41, -121, -237, -395, -601?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 472\/2247 - -3\/107. Calculate the common denominator of 70\/27 and p.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 71*d - 49*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11835 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7 - (-4)\/((-8)\/6). Suppose a*r - 119 = -5*w, w + 4*r - 11 = -0*w. Let y = 80 - w. Calculate the remainder when y is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z + 40. Let x be y(0). Let s = x + -90. Let l = -17 - s. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 128?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -26576.\nAnswer: 1\/26576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide (8\/(-5))\/((-16)\/120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rsb when three letters picked without replacement from sbrrrbbrbbbrbbrrbbrr.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -211568080432 - -328835778815. Let b = 117267697872.00000539 - l. Let d = b - -511. What is d rounded to 7 decimal places?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 3*g + 2, g - 2*g = -3*f + 6. Let b(q) = 4*q**2 - 2 - 7*q**f + q + q**3 - 1 - 3*q**2. What is the units digit of b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 25 = 33. Let j(b) = 13*b**2 + 27*b + 37. Let z(k) = -6*k**2 - 14*k - 18. Let n(u) = i*j(u) - 5*z(u). Solve n(f) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 32*s**2 - 69*s - 10. Let m be o(-34). What is the remainder when 90 is divided by (27\/12)\/(18\/m) + 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pxxyxxypyyfypfxyd. Give prob of picking 1 p and 1 y.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 1755*y**2 + 8796*y + 63. What is l(-5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6.305202 centuries?\nAnswer: 7566.2424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23, -43, -77, -131, -211, -323, -473?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 737131?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + -2 + 2 + -71 + (114 - 73)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 4665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n, 1 i, and 1 x when four letters picked without replacement from xxxnxni.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 - (-21)\/3 - (-47 - -35). Suppose -9565 = -a*x + 6738. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.03805479 + -2.\nAnswer: 3.03805479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of 3*o**2 + 0*o**3 - 1\/20*o**5 + 0*o**4 + 0*o + 0. Let k(m) = -m**2. Give g(k(j)).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -75.8530657 + 68.853066. Let l = -7 - o. What is l rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 20. Let o = 23 - r. Suppose -2*d - 146 = -4*q, 4*q = q + o*d + 111. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 158265 and 108855.\nAnswer: 382843035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-67)\/(3\/(-2)*(-10)\/(-15)). Let j be (-720)\/(-1) + 31 + -14. Calculate the greatest common divisor of v and j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00089573 rounded to 6 decimal places?\nAnswer: -0.000896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + r**2. Let m(y) = 4*y**3 + 10*y**2 - 2*y. What is 3*h(w) - m(w)?\nAnswer: -w**3 - 7*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -212498807.7647868 - -2172580744.7647927. Let j = 1960082052 - h. Let t = -115 + j. Round t to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 852 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: -0.02713 * 0.954\nAnswer: -0.02588202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3*(0 - (-79)\/3). Let p = -77 - m. Suppose -2*c + 3*i + 21 = 0, -c + 3*i + 57 = 3*c. What is the greatest common factor of c and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**3 - 3*z**3 + z**4)*(-z - z + 0 + 2) - 109*z**5 + 33*z**5 + 52*z**5 + (1 - 1 + 2)*(z**5 + 2 - 2) + 2*z**5 + 0*z + 0*z.\nAnswer: -22*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1402  (b) -1\/2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*z**2 + 11226*z + 10501923 = 0. Calculate z.\nAnswer: -1871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 41191 - 22493. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 837127920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-344)\/(-9) - ((-26004)\/(-2079) + (-30)\/(-42) - 13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by 1745434\nAnswer: -6\/872717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9827?\nAnswer: 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -548?  (a) 5  (b) -4  (c) 0.4  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2339 is divided by 2015.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + 0. Suppose 0 = 3*t - a*t + 4. Let h(b) = -2*b + 2. Suppose 5*n + 1 = 4*g + 2, 4*n = -3*g - 24. Let r(q) = q - 1. Calculate n*h(d) + t*r(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 AM and 5:57 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 2839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 314142695?\nAnswer: 5, 71, 181, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*v**3*z + 2*v**3 - 26429*v**2 + 5981957*v*z**2 - 29*v - 3 wrt z?\nAnswer: 2*v**3 + 11963914*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5967552?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 7*n**3 + n - 1. Let b be l(1). Suppose -5*r + 3 = 5*y - b, 32 = 4*r - 4*y. Suppose 0 = 6*k - 5*k - r. Solve -3*q = 3*z, k = 2*q - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/9 - (-74)\/3. Suppose 4*w + w = i. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + 405\/30 - 7\/(-42) - 109\/(-3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3539 + -3536. Solve -3*b = 2*p + 10, 0*p + 5*p - u*b = -25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 8) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of -q**5\/15 - 126*q**2. Let p be (-2)\/(-5)*15*1. Let y(z) = z - p*z + 7*z. Calculate y(o(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1265 - -1260. Which is the closest to 2\/3?  (a) 5  (b) q  (c) -0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y**5 - 18*y**4 - 54*y**3 - 62*y**2 - 24*y = 0.\nAnswer: -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10194, -20339, -30412, -40389, -50246, -59959?\nAnswer: -69504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2118493 != -2118489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -723\/38 >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.0828 or -1.2?\nAnswer: 0.0828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -4, 0.33 in descending order.\nAnswer: 10, 0.33, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the third derivative of j**6\/300 - j**5\/30 - 13*j**4\/60 - 7*j**3\/15 - 24*j**2. Determine r, given that m(r) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1242013211 (base 5) to base 14\nAnswer: 5a2217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 183810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 2*p - 11 = -22, p = 5*h - 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -13. What is the second derivative of -g - 4 - 16 - p + 29*p**2 - 6 + 0 wrt p?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**21)\/(i**(-5\/6)*i) assuming i is positive.\nAnswer: i**(-121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 98830254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*6\/(2\/(-1)) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 12*k - 3 - 1 + 3. Suppose 3 = y + 2*y. What is the tens digit of j(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 9, -2, -107 in decreasing order.\nAnswer: 9, 0.4, -2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2547 + 2465 = -257*u + 78*u. Let w = -0.4 + 0.5. What is the third smallest value in u, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 8. List the prime factors of 66\/15 - p\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/50 and -37\/126890?\nAnswer: 634450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.496 - -1.496. Which is the nearest to g?  (a) -2\/49  (b) -0.1  (c) -3  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -29, -59, -101, -161, -245, -359, -509, -701?\n\"Answer: -k**3 - 23*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*m, 0*b = 3*b - 4*m - 5. Suppose -4 = -b*q + 17. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -3.3. Let g = -1 - -25. Let r = 23.8 - g. Which is the third smallest value?  (a) 1  (b) y  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*x**4\/2 + 5323*x**3 - 10326*x**2 - 29083*x - 26829\/2 = 0. Calculate x.\nAnswer: -1, -9\/13, 11\/3, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -122, -4?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 + r - 50. Let c(b) = -b**2 + 4*b - 3. Let n be c(3). Let l be x(n). Let s be (0 - -32000)*l\/4. What is s rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-2)*(-6 - -4). Let z = p + 4. Suppose -o + h = -z*h - 55, -4*o - 3*h + 145 = 0. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41208?\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 54219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g - 3 = -23 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-13) + (-5628469)\/(-1001) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 5 = -0, 4*d + 118 = 3*n. What is the tens digit of (1 + 0)*(n - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5319676 is divided by 171602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 45\/7 - 7. Which is the smallest value?  (a) -5  (b) 2\/7  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 94 + (-4 - -5) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y - 4 + 7 - y)*(-4*y + 6*y - 3*y).\nAnswer: 2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 23*f - 39. List the prime factors of j(11).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25.856 to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 9 + 5. What is the remainder when 4 is divided by (-9)\/(-3) + (-7)\/c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*12\/28)\/3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43.958 - -44. Let r = s - -5.858. Let t = 5.5 - r. Which is the third biggest value?  (a) -5  (b) 5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196779382 to the power of 1\/2, to the nearest integer?\nAnswer: 14028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o*o*o*o**(-1\/3)))**42*((o\/o**(-2\/3))\/o)**21 assuming o is positive.\nAnswer: o**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*o - 2*o - 2*o)*(-5*o + 2*o + 12*o) to q*o**2 + t + r*o and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c - c + 5*c + (2 - 2 - 2)*(-12*c + 29*c - 1 - 2) in the form v*c + g and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -89*k**2*l**4 - 102*k**2*l**2 + 320*k**2 + 169*l**4 - 6*l**3 wrt l?\nAnswer: -2136*k**2*l + 4056*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, x: 2, n: 1, j: 4, y: 7}. Give prob of sequence mxj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 3*v = 16, -j + 4*v = 2*j + 23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 981 + -976. Solve -s*o + 3*c = 25 - 4, 5*c = 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5, -8, -11, -14, -17?\n\"Answer: -3*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/(-6) - 138160\/264. Let x = h + 526. Solve 4*l = x*o - 2*o + 2, 0 = o + 2*l - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4320 and 10618020.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 373 - 231. Let u = p + -141. Solve -26 = -5*b - u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 238 and 340.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 463 a factor of 1924228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -o + 8. Suppose 16*q - 13*q = 12. Suppose 0 = -5*n, q*n - o - 9 = -2*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 360 and 270?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -874394 divided by 8249\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 6*n**2 - 7*n - 15. Let m(k) = k**3 - 2*k**2 - 13*k + 30. Let d be m(4). Is f(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 - 9 = 3*p + o, -p + 2*o = -1. Let a be (-1)\/2 + p\/2. Put -3, a, -1 in decreasing order.\nAnswer: -1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -4. Suppose 0 = -2*s - 2 - r. Is s less than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -1153*j**2 + 2*j - 643. Let s(v) = -5765*v**2 + 11*v - 3215. Let g(n) = 2*s(n) - 11*z(n). Differentiate g(k) with respect to k.\nAnswer: 2306*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 1098*m + 23. Is s(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of c**7\/70 + 2*c**3\/3 - c**2 + 3. Let j(l) be the second derivative of s(l). Differentiate j(b) wrt b.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**2 + 4*u - 4. Let l(m) = -m**2 - 3*m - 1. Let r be l(-6). Let z = 23 + r. Let i be k(z). Which is the third smallest value?  (a) i  (b) 1  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28*n - 28*n - 9*n**3)*(3*n**2 - 6*n**2 + 2*n**2) + (10*n - 5 + 5)*((n**3 + 0*n**3 + n**3)*(-3*n + 0*n + n) + (3 - 2 - 2)*(196 - 196 - 59*n**4)).\nAnswer: 559*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 5*i - 26 = -68, -4*p + 28 = -2*i. Suppose 0 = 17*h - 13*h - p. Suppose -3*m - 15 = -3*y, -4*y - 12 + 2 = h*m. Solve -5*f - 1 - 19 = y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11001 + -111211020?\nAnswer: -111200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2286 + -4161. Round j to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o - 28*o - 740 = 0. Sort -5, o, -1 in decreasing order.\nAnswer: -1, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2435.043 litres?\nAnswer: 2435043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c + 8. Let r be b(-4). Let k(y) be the second derivative of y**5\/20 - y**4\/4 - 5*y**3\/6 + 3*y**2 - 34*y. Let t be k(r). Solve 0 - 10 = t*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16268603, -32537334, -48806065?\nAnswer: -65074796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 65*f - 23. Let k be t(1). Solve 23*g - 16*g = -k for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/4 of a kilogram in grams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 17652124 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-36)\/(-3))\/4 + -78. Let l(o) = 2*o**2 + 32*o - 38. Let x be l(-17). List the prime factors of (-15)\/(q\/820) - (0 - x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - 5. Suppose 3*t - 3*b = 27, g*t = -3*b - 2*b + 43. What is the smallest common multiple of 2 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 408 by -6.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4699, 9212, 13541, 17686, 21647, 25424?\n\"Answer: -92*m**2 + 4789*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29474679*g**3 - 3*g + 1309382?\nAnswer: 176848074*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-5))\/(345\/575)*1. Let q(c) be the first derivative of z*c**3 + 0*c**2 + 4 + 0*c. Let y(g) = 4*g. Give q(y(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**2 + 2*v. Let i be 54\/(-9)*1\/3. Give j(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -495481550032 from -0.04.\nAnswer: 495481550031.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -4, 0.038, -0.67?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 1 - 1)*(1 - r - 1)*(-2 - 5 + 4).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11369, 22761, 34153, 45545?\nAnswer: 56937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 30. Calculate the remainder when o is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2640 and 720.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - -11. Let k = t - 14. Suppose l = -k*m + 12, -2*m = -m - l - 8. Solve 0 = m*z - r + 6*r + 15, 3*z + r = -11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 - 155*r**2 + 23.\nAnswer: -155*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.12 + 147.6908325.\nAnswer: 146.5708325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*i**3*x - 13*i**3 + i**2 - 4*i*x + 30*x wrt i.\nAnswer: 36*i*x - 78*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (4 + -4 - -1)) + (4 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.21?  (a) 3  (b) -0.17  (c) -0.2  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of -13*u**4\/12 + 6*u**2 - 11*u. Find the first derivative of k(a) wrt a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 2*z**3 - 99*z**2 - 302*z + 2946. What is x(52)?\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74081 is divided by 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -1720438*j. Let o(i) = 3*i. Determine o(c(z)).\nAnswer: -5161314*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (9 - -6 - 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9288, 18477, 27574, 36579, 45492?\n\"Answer: -46*j**2 + 9327*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -35*a - 8*a - 36 + 11*a. What is the units digit of v(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*y + 330*y = -3444 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/50 and -33\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 3*d + 47, 3*d - d = 3*h - 29. Suppose h*j = 3*x + 9*j - 11100008, -x + 3700016 = 4*j. What is x rounded to the nearest 100000?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9152+27\nAnswer: 9179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*b**2 - 2*b**2 - 2*b**4 - 2*b + 3*b**4 + 0*b**4 + 3*b**3 in the form r*b + j + g*b**2 + f*b**4 + w*b**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11, 23, 39, 59, 83, 111, 143?\n\"Answer: 2*y**2 + 6*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 10:00 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -11*y**2 + 11*y + 14. Let z be c(-6). Let d be (-4)\/(-6) + z\/312. Which is bigger: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (-357)\/(-49) + -7 - 488\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5232, 5242, 5252, 5262?\n\"Answer: 10*c + 5222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*m**2\/2 - 94*m - 38 = 0. What is m?\nAnswer: -2\/5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, -3, -14, -43, -96, -179?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**3 + 0 + 0*t**3 + 2)*(2 - 4 + 0).\nAnswer: -4*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(1\/3))**(7\/3)\/((t*t**(2\/9))\/(t\/(t*t**(-1\/3)*t))))**(-8) assuming t is positive.\nAnswer: t**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, g: 2, o: 9}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 - 35. Let s = -11 - -11. Let w be g(s). Let h = 51 + w. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 21086 or 105431\/5?\nAnswer: 21086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -15*h - 1. Let q(w) = 29*w + 2. What is 3*q(d) + 5*r(d)?\nAnswer: 12*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -228240794 * -4\nAnswer: 912963176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -3*l - 12740 - 3664, -3274 = -u + 4*l. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 528508.\nAnswer: 528508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 1434 = 2*l, -l - 4*y - 3589 = 4*l. Let i = l - -1079. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 p, and 2 h when four letters picked without replacement from {g: 3, p: 1, k: 2, h: 2, y: 1, b: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 60, 54, 46, 36?\n\"Answer: -b**2 - 3*b + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -2\/5  (c) -3\/8  (d) 5\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28026*v**4 - 2*v**3 - 128*v**2 - 234859246*v wrt v?\nAnswer: 336312*v**2 - 12*v - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -63 + 62. Let x = -0.2 - -4.2. Let u = x - 9. What is the closest to 1 in -0.2, l, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.54 - 0.46. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z - 7. Let p be y(-12). Suppose 1039162 + 1010838 = p*f. Round f to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = a + 8. Let h(b) = -9*b + 3. Let p(u) = 26*u - 8. Let d(j) = 14*h(j) + 5*p(j). Determine d(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*z + z + 50*z**2 - 3*z - 10*z**2 + 4*z.\nAnswer: 40*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -971 = -157*k + 249 + 1135 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + 0. Let t = -1.958 - -2.258. Sort 0.49, t, s.\nAnswer: t, 0.49, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/d**13*d*d)\/d*d)\/(d**(-3)\/d*d)*(d*d**(-16))\/d*d**(-3\/2) assuming d is positive.\nAnswer: d**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/876160 and 7\/1037184.\nAnswer: 191879040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 109400 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from esfeukenfkkennn. Give prob of sequence nn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of 0*t - 5 - 3\/2*t**2. Let g(k) = -2*k. What is g(s(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 619580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-11) - 156288096\/88. What is r rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a**3 + 22*a**2 + 2*a - 19. Let x be z(11). What is the second derivative of u**2 - 6*u**x - 96*u - u**2 + 168*u - 9*u**2 wrt u?\nAnswer: -36*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -47558 - 1.\nAnswer: -47559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 81\/2 of a millisecond?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 186 divided by -6\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14\/9*n - 2\/3 + 2\/9*n**3 - 10\/9*n**2.\nAnswer: 2*(n - 3)*(n - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*b + b + 97 = 0, -5*b = -5. Let v = 73 - c. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -5*t + 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.925993 plus 2949?\nAnswer: 2949.925993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(192))**2 + sqrt(243) + -2*sqrt(243).\nAnswer: -41*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*q = 153*q - 133 + 63 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-4)*12\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/3 of a minute in seconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 3, -1, 4.\nAnswer: -7, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 162 + -74. Let n = -1171 + 1191. Calculate the least common multiple of n and s.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 217620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2*l**2\/3 - 40928*l\/3 + 930784 = 0.\nAnswer: -20532, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 334 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.3 times 0.06?\nAnswer: -0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + -11 + (-5 + 0 - -10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of c**4\/4 + c**2\/2 - 3*c - 2. Let t(b) be the first derivative of -b - 3. Give 2*o(l) - 6*t(l).\nAnswer: 2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-606)\/(-9) + (-2)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 337  (b) 3  (c) -0.06  (d) 1  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 6*u**3 - 36*u**2 + 27*u + 15. Calculate the remainder when j(6) is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 97 = 86*s - 4. Suppose -h + 1 = -3. Suppose m = 4*x, -2*m - h = 2*x - 14. Put 5, m, s in decreasing order.\nAnswer: 5, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 2*y, 0 = p - 2*y - 158411. Let o be -1 + (p\/(-22))\/(1\/(-2)). Round o to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 2*f - 2. Let t be m(-5). What is the remainder when 21 is divided by (t\/6)\/(1\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t - 161*f + 162*f, 0 = 2*f + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + 52*d + 98. Give a(-50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/3*18\/12. Suppose 2*s + 1 = 3. Which is the third smallest value?  (a) k  (b) -4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oyooyiyoyyioo. Give prob of picking 2 i and 2 y.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -104104230 divided by 1?\nAnswer: -104104230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + -2421?\nAnswer: -2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -275 - -268. Let a(j) = -j**3 - 9*j**2 - 13*j + 10. Let d be a(t). Solve -d*m - 3*z + 32 = -8*z, 0 = m + 4*z + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**3 + q**3 - 2*q**3 - q**3 + 2*q**3 + 0*q**3 + (-2*q**2 + 0*q**2 + 0*q**2)*(-q + 2*q - 2*q) + q**3 - q + q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -4*a**2 + 7*a + 10. What is s(-5)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2. Let j(c) = 12*c**2. Let l(m) = -5*i(m) + j(m). Let d(p) = -1671668*p + 12*p**2 + 3343349*p - 1671681*p. Calculate d(l(n)).\nAnswer: 3468*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293*y - 10 = 4*f + 297*y + 158, -14*y - 588 = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 12 = -3*a + 10, 4*a + 2*h = 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 921*a**3 - 9*a + 8. What is the units digit of d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21320 and 13526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1291, -2681, -4067, -5449, -6827, -8201?\n\"Answer: 2*b**2 - 1396*b + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4946294?\nAnswer: 2, 2473147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 125854 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.13 - 4.13. Let s = 1 + -2. Is s bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of m**5\/5 + 13*m**4\/3 - 58*m**3\/3 + 30*m**2 + 4*m - 206. What is h in v(h) = 0?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 184601?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -24522, -2, 0.807?\nAnswer: 0.807","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3789431896?\nAnswer: 2, 19, 4373, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 divided by -73?\nAnswer: -11\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3 - 3 + 5. Suppose -10*p - 8 = -8*p - 3*x, 5*x = -3*p + 7. Let i(l) = 5*l - 3. Give p*i(q) + 3*m(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q. Let a(b) = 33*b + 1. Determine a(r(p)).\nAnswer: -33*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5 + 711)\/((-2)\/3*(-52)\/104). What is the highest common divisor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53 - 51. Let w = 4 - j. Suppose 5 = r + w. Solve 5*b - 25 = -p - 4*p, 0 = 2*b - r*p + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b**(-27)*b))*b**(7\/3)*b)\/(b*(b\/b**(2\/17))\/b)**(-3\/19) assuming b is positive.\nAnswer: b**(-21829\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 25108523 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 157 - 145, 147813 = d - h. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-14))\/(-6*(-11)\/132).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 15 = -3*n + 2*y, 4*y - 15 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 1.9. Let c = 2580 - 2580.4. What is the closest to 0.1 in n, c, -2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-6))\/((-2)\/(-30)). Let z = -2 + v. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j**3 + 2878*j**2 - 55536*j - 192456 = 0 for j.\nAnswer: -1458, -3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -80*g + 80. Let q be v(4). Let s = q - -338. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8769 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2238 + 2.5?\nAnswer: 2240.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 3*x**2 - 5*x - 2. Let r be c(-4). Suppose 0 = r*y - y. Suppose y = z + z. Solve o + 5 - 1 = z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a - x = 8*a - 25, 29 = -a - 5*x + 130 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-60960)\/(-64008))\/(-5*(-4)\/(-72)).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -71.8 + 71.5. Which is the fourth smallest value?  (a) -19\/5  (b) w  (c) 4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3056 and -80.\nAnswer: -244480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 3\/2  (b) 846  (c) -54\/7  (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 3482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*l - 4*i, 3*l - 5*i + 3 = -1. Suppose -7 = l*a - 3. Let d be (2 - 1)\/((-1)\/a). Solve 2*k - d = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -201391 (base 11) to base 14\nAnswer: -86076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-275)\/(-10) + -5)\/(2\/(-4)). Find the common denominator of 10\/b - 1178\/(-36) and -79\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -450*b**2 + 77*b**4 - 27 + 12 + 14 + 451*b**2 - 3*b to the form s*b**4 + q + g*b + n*b**3 + w*b**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/17 and -47\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -5*o - 14. What is r(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of o**5\/180 - o**4\/54 - o**3\/54 + o**2\/9 + 4*o. Factor j(v).\nAnswer: (v - 2)*(v - 1)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 + 19*l - 23. What is o(-19)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*g - 19*g = -5*l + 42, -g = -2*l + 9. Solve 2*r + l = 0, 0*d + 4*d + r = -11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*q**3 - 4\/5*q**2 + 0 + 16\/5*q.\nAnswer: -2*q*(q - 2)*(q + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -252*h**4 + 114*h**3 + 874*h**2 - 588*h - 250. Let q(i) = i**2 - 2*i + 1. Let s(g) = -2*f(g) - 116*q(g). Solve s(a) = 0.\nAnswer: -2, -3\/14, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 180.2 or 8\/29?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 35632852 divided by -1\nAnswer: -35632852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {h: 8, e: 3, f: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 + 11*s**2 + 10*s + 5. Determine r(-9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + z + 0*z - 2*z. Let d be n(-2). Let i = 295 + -587\/2. Put i, d, -1\/5 in decreasing order.\nAnswer: i, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 + 18 = 2*t. What is the common denominator of 5\/8 and 4\/t - (-19)\/(-18)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15569*q**4 - 21*q**3 - 7*q**2 + q + 651185 wrt q?\nAnswer: 186828*q**2 - 126*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1972 to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10151, -80905, -272931, -646859, -1263319?\nAnswer: -2182941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11612*j - 275 = 11637*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 29\/5 in 1\/9, -0.5, -10\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 970667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 9*t**3 - 6*t**2 + 6*t - 8. Let d(v) = -3 + 6 + 11*v**2 - 11*v - 17*v**3 + 3 + 4 + 5. Give 6*d(u) + 11*i(u).\nAnswer: -3*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 51747818 to the nearest integer?\nAnswer: 7194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 11, t: 4, e: 4}. What is prob of picking 2 e and 2 s?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23933?\nAnswer: 7, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -11  (b) -30\/39811  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 0*c + 11 = 5*j, -9 = -c - 5*j. Let b be 6 - (-8)\/(c + -3). Suppose -192 = -b*i + 16. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 23. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*v - 24. Let n(l) = -l - 5. Let g be n(v). Let b(y) = 23*y + 3. Let q(u) = -74*u - 11. Let k(a) = -7*b(a) - 2*q(a). Calculate k(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2415156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of -20\/3*l**3 + 0*l - 3 - 8*l**2 - l**4. Factor y(q).\nAnswer: -4*q*(q + 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -11*g - 11. Let u be s(-1). Suppose -5*c - 4*d + 154 = u, 5*c - 2*d = d + 182. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82829 (base 10) in base 13?\nAnswer: 2b916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27105a (base 16) to base 4.\nAnswer: 21301001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 8:30 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than 5\/196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -s**5\/6 + 5*s**4\/2 - 5*s**3\/2 - 155*s**2\/6 + 20*s + 78 = 0.\nAnswer: -2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -72 and 115175?\nAnswer: -8292600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -13. Let m be (x - -1) + -4 + 11. Suppose -k = 3*f - 274, f - 4*k - 67 = m. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 287*b**3 + 1 - 3*b**2 + 43*b - 43*b to o*b + m*b**2 + a + n*b**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 3*j = 7*j + 96, 4*o = -2*j + 96. Suppose 0 = -23*l + 17*l + o. Let n(f) = f**2 + 1. Give n(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 43\/129*(-14 + 2). Let w(f) = 5*f**2 + 6*f - 7. Let g(h) = 7*h - 2 + 6*h**2 - 7 + 1. What is t*g(j) + 5*w(j)?\nAnswer: j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(121) + (sqrt(121)*-3 + sqrt(121))*1))\/(2*sqrt(1100)*-3).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 PM and 3:45 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/(-10) - ((-216)\/105)\/3. Suppose -3 - 7 = 5*z. Which is the second biggest value?  (a) 9  (b) z  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*0.88581725\nAnswer: 0.442908625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0136458 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -53*j**2 + 646*j - 3913. Determine m(6).\nAnswer: -1945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*q**3 + 954 + 4*q**3 - 5*q - 1073 wrt q?\nAnswer: -18*q**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/176*8)\/(2\/((-4)\/4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*15\/6*-2. Which is the second smallest value?  (a) 0.1  (b) 2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -48 - -191\/4. Let y = -647\/390 + -1\/130. Sort y, q, -1\/9 in decreasing order.\nAnswer: -1\/9, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2154*k + 3 + 679*k + 1162*k to the form n + c*k and give c.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -17*h - 56. Suppose -34*r = -38*r - 28. Calculate the smallest common multiple of 3 and b(r).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-7)\/(v*v*v**(1\/3)*v))\/(v**6)**(-23))**21 assuming v is positive.\nAnswer: v**2681","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -489628.\nAnswer: 3\/489628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 86109.84l in millilitres?\nAnswer: 86109840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 57\/5 + (-642)\/(-1070). Is s bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**3 + 91*y**2 - 16*y + 1347. Give d(-46).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 60\/20*(68\/12)\/1. Calculate the highest common factor of y and 4131.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 80*f - 1997. Let z be x(25). Let i(t) be the second derivative of 0*t**2 + 0 + 10*t + 1\/6*t**z. Let q(g) = 7*g**2. Calculate i(q(k)).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*i + 40 = 0. Let f = -5 + 10. Let j = i - f. Solve 2*r = -j*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1363 minus 3?\nAnswer: -1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 106631240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -44*r - 227. Determine l(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + 4*k - k**4 - 4*k)*(-5*k + 5*k + 2*k).\nAnswer: -2*k**5 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 AM and 8:09 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 5*t + 21*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -817, 4, 177, -4 in descending order.\nAnswer: 177, 4, -4, -817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/14 and ((-551)\/1914)\/(212\/12).\nAnswer: 8162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73383*w - 648 = -73401*w. What is the least common multiple of 4724 and w?\nAnswer: 42516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/6 + 10\/(-6). Let o = -0.065 + 9.065. Let j = o + -4. Put y, j, -0.4 in decreasing order.\nAnswer: j, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*f + 3 + 3*f + 1)*(-3 - 45 + 4).\nAnswer: -572*f - 176","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -508, -4, 11, -3, -5 in decreasing order.\nAnswer: 11, 5, -2, -3, -4, -5, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 1 - 1 - 5 + 9*h**2 to s*h + d*h**2 + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 x, and 1 f when three letters picked without replacement from {f: 2, c: 5, n: 7, k: 2, x: 3, y: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 61627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 19 = 5. Let z be u + 1*1*-6. Let x(r) = -3*r**2 + 4 + 1 - 2*r - 4. What is x(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.7 and 3.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -344030 or -4472400\/13?\nAnswer: -344030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-9)\/b)\/(b*b**9\/b*b)*(b*b\/(b\/(b*b*b**0*b)*b)*b)\/(b**(4\/3)*b))**48 assuming b is positive.\nAnswer: b**(-880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 AM and 12:27 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (18\/225 - 1185\/750)\/((-1)\/82). Calculate the greatest common divisor of 3854 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (498\/24)\/(2 + 924\/(-464)). Let o = w + 2322. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.387765 weeks in microseconds?\nAnswer: 5072920272000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 30028500 to the power of 1\/2, to the nearest integer?\nAnswer: 5480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1309*l - 1309*l - 3*l**2 + 3*l**2 - 3*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -0.0629, 3\/2, -2, -5, -1 in increasing order.\nAnswer: -5, -2, -1, -0.4, -0.0629, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36438471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -16 and 37?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of (-1 - 98 - 1)*(2 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3*b + 4 = 0, 10 - 4 = 3*j + b. Which is smaller: j or 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*o**3 + 83*o + 85*o - 168*o + 0*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -51 - -56. Let m(p) be the second derivative of 0*p**3 + p + 0 + 0*p**4 - p**2 + 0*p**c + 1\/30*p**6. What is the first derivative of m(i) wrt i?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 3  (b) -19  (c) -6  (d) 89  (e) -829  (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, 1, 0, -1, -25, -21 in ascending order.\nAnswer: -25, -21, -5, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**4\/3 - 2*x**3\/3 + 3*x. Let m(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 1, -3, -33, 2 in descending order.\nAnswer: 2, 1, -3, -8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5187 = -323*m + 4629 - 1418 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*m - 24*m**3 + 26*m)*(-3*m**2 + 5*m**2 + m**2).\nAnswer: -72*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1694.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 - 0) + (14 - 1). Suppose 0 = 3*m - 2*m - y. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -150 - -443. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of -h**6\/360 - 7*h**5\/120 - h**4\/3 + 10*h**3\/3 + 16*h. Let c(j) be the second derivative of n(j). Calculate c(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of 2 - 3\/10*i**2 + 1\/15*i**3 + 2\/5*i. Determine h, given that a(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - 5\/(5\/4). Suppose -4*x + 18 = 2. Calculate the smallest common multiple of f\/(4 + -2) - -12 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 4*k - 662 - 1853, 0 = -5*b + 2*k + 12553. Let r be (8\/(-6))\/4 - (-675)\/b. What is the closest to -1\/4 in 2, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*z + 49*z + 67*z**2 - 11*z - 137*z**2 + 74*z**2.\nAnswer: 4*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 424359 is divided by 2176?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 102246 + -102246.0881065. Let j = o - -0.48810675. Let i = j + -0.4. What is i rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*w - 23*w + 147600000. Round w to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22 - 54 + 24 + d)*(-3*d**2 + 15*d**2 - 8*d**2) to the form v + p*d + q*d**2 + c*d**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g + g + g)*(-2*g**4 + 0 + 0) + 2*g**5 - 3*g**5 + 3*g**5 + 120*g**3 - 120*g**3 + 29*g**5 + 0*g**5 - g**2 + 0*g**5 + g**5.\nAnswer: 36*g**5 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34770 divided by -6954.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -260 + 8581\/33. Let j(k) be the second derivative of -q*k**3 + 0 - k - 2\/11*k**2 + 1\/66*k**4. Factor j(c).\nAnswer: 2*(c - 2)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 - 28*j**2 - 57*j + 170. Determine x(-26).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -296385?\nAnswer: 29638.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1236516 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u + 1. Suppose 5*a - 69 = -9. Let r be 2 - 8\/a*3. Determine w(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -55, -153, -339, -643, -1095?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2590 is divided by 2239.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108066442?\nAnswer: 2, 11, 47, 104513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 15 + -18 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 + 15*l**2 - 3*l - 146. Calculate the remainder when h(14) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-1)*1)\/(180\/(-120))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -7  (b) -0.32  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of -1\/24*r**4 + 0*r - r**2 - 1\/60*r**5 - 2\/3*r**3 + 0. Let i(m) = m**2 + 4*m - 12. Let g be i(-6). Calculate d(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.07854, 1, 3, -1\/5, -4, -2\/3 in descending order.\nAnswer: 3, 2.07854, 1, -1\/5, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**3 + 15*j**2 - 16*j - 62. Calculate b(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -3*v + 14. What is h(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 6*y**2 + 3*y - 3. Let k(b) = 7*b**2 + 3*b - 4. Let v(x) = 4*a(x) - 3*k(x). Factor v(f).\nAnswer: 3*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6882391 and -3.2?\nAnswer: -22023651.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1145 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 6 - 2. Suppose -1 = -q*r + 7. Let j = 2 - 1. What is the highest common factor of r and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*f + 0*f + 0*f)*(4*f - f + 0*f)*(1 + 3 + 1)*(-2 - 2 + 5).\nAnswer: -135*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*t + 56*t**2 - 9 - 23*t**2 - 29*t**2)*(-2*t - t + t) as r + y*t**2 + v*t**3 + d*t and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-201*u + 8878 - 8878)*(0 - 1 + 0) in the form q + f*u and give f.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 131390652 divided by 1461.\nAnswer: 89932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.144 + -0.056. Which is the third biggest value?  (a) s  (b) 2\/11  (c) -49  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 - 1. Let c(f) = f**3 - 2*f**2 + 8*f + 8. Let y(x) = -c(x) - h(x). Let o(g) = -g**3 - 9*g - 7. Let z(v) = 5*o(v) - 6*y(v). Determine z(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 5) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8837 - 3326. What are the prime factors of l?\nAnswer: 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3134 (base 5) to base 3.\nAnswer: -120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2808 - -2815. Let a = -37\/6 - -23\/3. Put -0.1, a, l in ascending order.\nAnswer: -0.1, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/36*9)\/((-2)\/(-308)). Let y = k - -49. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t + 8*t - 352*t**3 + 108*t**3 + 2 + 216*t**3.\nAnswer: -28*t**3 + 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 2 = 5*o. Suppose o*y + 3*z = -8, -y + 28 = 3*y - 5*z. Solve 0 = y*x - x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus 0.0391895?\nAnswer: -0.4608105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 PM and 6:31 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (9 + 1 - 3) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 781686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 4, -0.4, -161, 1\/8, 5\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/u**(2\/9)))\/((u**1\/u)\/u))\/(u\/u**1*u*u)**(-4\/19) assuming u is positive.\nAnswer: u**(281\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -4*v**3\/3 - v**2\/2 - 2*v - 1. Let f(b) be the first derivative of -5\/3*b**3 - 79 - 2*b - b**2. Determine 2*f(d) - 3*u(d).\nAnswer: 2*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252 = -926*k + 954*k. Let r(j) = 4*j. Let c be r(1). Suppose -8 = -3*d + c. Solve k = d*u + 21 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 9, y: 11}. What is prob of sequence eeee?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3409, -25774, -86457, -204610, -399385, -689934?\nAnswer: -1095409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 479, 481, 483, 485, 487?\n\"Answer: 2*c + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -0.073, 1, 2464, 3, -2\/13, 0.3, -2?\nAnswer: 2464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002216857558 to seven decimal places.\nAnswer: 0.0002217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 2:44 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 65*k - 60*k. Let m be 2 + ((-8)\/(-14) - k\/(-2)). Suppose m + 6\/7*d + 2\/7*d**2 = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*-3*(-4)\/(-12) - 2. Let m be (1 + j)\/(-1 + 4 - 5). Let b be 20\/(-5) + 4 + (m - -2). Put -46, -3, b in descending order.\nAnswer: b, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9726, -38895, -87506, -155553, -243030, -349931?\nAnswer: -476250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 2*l + 2. Let u be (-2 - -3)*2*1. Let k be f(u). Let m be ((-4)\/(-5) - 1)\/(18\/(-72)). Is m at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94, 95, 96, 97, 98, 99?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 24 = h, -s - 7 = -4*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of 9*q**5\/110 - 5*q**4\/33 - 17*q**3\/33 + 2*q**2\/11 + 32*q. Solve s(d) = 0.\nAnswer: -1, 1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26 - 4707*o - 10 - 14 - 2)*(2 + 6 - 2)*(-3*o**2 + o**2 - o**2) to v + j*o + i*o**3 + y*o**2 and give i.\nAnswer: 84726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 257.6826 years to millennia.\nAnswer: 0.2576826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/(sqrt(10)\/sqrt(5)))\/(-4*sqrt(12)\/sqrt(3)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -201 - -212. Suppose 0 = -z + 13 - m. Solve 0 = 5*a + 2*u - 1, -z*a + 4*u = 2*a + 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.011, 0, -0.3?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 486 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -132 + 144 - (-1 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.8234 to 1 decimal place.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of -i**4\/24 + 13*i**3\/6 + i**2. What is the units digit of h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, a: 1, t: 2, s: 4, i: 2, f: 2}. Give prob of picking 1 r, 1 i, and 1 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 12 - 18)*(-3 + 3 - 3*j**5).\nAnswer: 57*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -310230 (base 4) to base 7.\nAnswer: -12555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -110 or -23005\/208?\nAnswer: -23005\/208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27188 = -y - 4*q, -37097 = -4*y + 4*q - 145769. Is (44\/(-30))\/(-11) - y\/60 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*h - 5 = 0, 3*k = 6*k - 2*h - 7. What is the fourth biggest value in k, 5, -92, 0.3?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + sqrt(18)\/(sqrt(54)\/sqrt(6)))*-4.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 38\/7 of a week?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2714 and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (6\/8 + -1)*(-2544)\/(-96) + 6\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (2 - -9) - (-4033 + 4072) - -15\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8039967 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 65 and 600?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-2 + sqrt(363) + 4)**2 + -3 + (5*(2 + sqrt(3)))**2 + 0.\nAnswer: 144*sqrt(3) + 541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**6 + 220*d**3 + 46*d**2 - 5.\nAnswer: -240*d**3 + 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*z**3\/7 + 4*z**2 + 16*z\/7 - 48\/7 = 0. Calculate z.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ecscqcgcscqmqcmqm. What is prob of picking 1 g and 2 s?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 21912*p - 10992*p - 10990*p. Let f(u) = -3*u**2 - 2*u - 2. Let o(y) = -6*y**2 - 5*y - 5. Let j(a) = -5*f(a) + 2*o(a). Determine j(t(s)).\nAnswer: 14700*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.18  (b) -0.5  (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 11 = -5*q - 23, 3*x = -q + 4. Suppose -4*l + 778 = 3*g, l + 396 = x*l - 2*g. Calculate the greatest common factor of l and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72)\/(-16))\/((-18)\/(-456)*19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -4754\/69507?\nAnswer: -4754\/69507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6d - -72?\nAnswer: e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -249, -316, -413, -528, -649, -764?\n\"Answer: 2*l**3 - 27*l**2 - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101000011 + -10011?\nAnswer: -101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -53 + (-39 - -118).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.663 - -0.423. Round u to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9  (b) -0.3  (c) 2.273\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2829 - -2216. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 571515101 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -5 - 4585*r - 9 + 2*r**2 + 4582*r. Suppose 4*g + 5 = 25. Is l(g) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**2 - z**2 - 11*z - 2*z**2)*(-954*z + 388264 - 388264).\nAnswer: 954*z**3 + 10494*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -575.9848722 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (14 - 3 - 22)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 665783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, d: 2}. Give prob of sequence qdqd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) -272  (b) 1.8  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -2 + sqrt(847) + (sqrt(847) - (-3*sqrt(847) + -3)) + 3*(sqrt(847) + (sqrt(847) - (sqrt(847) - 3*sqrt(847))) + sqrt(847)))*-4)**2.\nAnswer: 5420800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2913 + 5*p + 2913)*(3*p**3 - 4*p**3 + 3*p**3).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 8\/3 - 2\/3*g**4 + 2\/3*g**5 - 10\/3*g**3 + 16\/3*g + 2\/3*g**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*((t*t\/(t\/(t\/t**(-17)))*t)\/t)\/t*t)\/t)\/t**(-2\/15) assuming t is positive.\nAnswer: t**(287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3\/196  (b) 2\/9  (c) 3\/2  (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 86 = 39. Calculate the greatest common factor of k and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of t**5\/25 - 7*t**4\/20 + 13*t**3\/15 + 3*t**2\/10 - 18*t\/5 + 5. Factor d(o).\nAnswer: (o - 3)**2*(o - 2)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l\/(l**(-1\/9)*l*l))**(-7\/8) assuming l is positive.\nAnswer: l**(-7\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1150\/(-40)*(-5160)\/2967\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01538726 rounded to 4 decimal places?\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14 times -54023?\nAnswer: -7563.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 7. Factor 0*t - 2*t**4 - h*t**5 + 2*t - 4*t**2 + 6*t**4.\nAnswer: -2*t*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1144211 - -5?\nAnswer: 1144216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.5 + 0. Let x = 10382 + -10404. Which is the biggest value?  (a) p  (b) x  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**2 - 3*j + 8. Let p(z) = -z**2 - 9*z**2 + 14 - z**2 + z**3 + 9*z. Let f be p(10). Does 7 divide k(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.06  (b) 2  (c) -0.073  (d) -0.3  (e) 14051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.43 and 0.11.\nAnswer: 0.0473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2 - 9*i**2 + 6*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5300306696 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 1 = 4*t. Let i be t\/(((-15)\/4)\/5). Is 7 a factor of (18\/i)\/((-1)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -551*g. Let q(d) = -57*d**2. Give v(q(p)).\nAnswer: 31407*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-65)\/(-15) + 1 + 1\/(-3). Let i(u) = -4*u**2 + 5. Let k(s) = s**2 - 1. What is b*k(r) + i(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 1 + -21 + 18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/(w\/(w**(-7)\/w))*w**(-2\/29))\/((w**(5\/4)\/w)\/(w\/(w*(((((w*w\/w**(2\/5))\/w)\/w)\/w)\/w*w)\/w))) assuming w is positive.\nAnswer: w**(-2853\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, r: 1, e: 2, f: 4, m: 4}. What is prob of sequence ff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50b0 (base 15) to base 16.\nAnswer: -4290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1043754, 2087514, 3131274, 4175034, 5218794, 6262554?\n\"Answer: 1043760*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aod when three letters picked without replacement from odadaad.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 10489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1162 + 180. What are the prime factors of m?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwwa when four letters picked without replacement from {q: 2, a: 3, w: 8, m: 1, l: 5}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, -76, -165, -290, -457, -672, -941?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-516)\/180 - (-12)\/10.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 7*q. Let c(x) = -3*x. Let d(m) = -9*c(m) - 4*z(m). Let f(h) = 40*h**2 + 25*h**2 - 2*h - 92*h**2 + 2*h. Calculate f(d(l)).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5204 - -91204?\nAnswer: 91204.5204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -186842*v**2 + 81619*v - 1.\nAnswer: -373684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aiaaiasasaisa. Give prob of sequence ai.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1898 is divided by 376.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 5*m + 8 - 2 - 117*m**2 + 3*m + 59*m**2 + 55*m**2. Determine g(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 317 = 5*m - 6479, -3*h - 4*m = -5098. Suppose h = 11*q + 660. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/23  (b) -4\/13  (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -133110 (base 6) to base 11\nAnswer: -9311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, n: 7}. Give prob of picking 3 n.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-20) + -1)*-12 + (1 - 10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 48917820?\nAnswer: -97835640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = -q - 9, 3*q - 5*t - 2 + 37 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.87235 millimeters in nanometers?\nAnswer: 14872350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 156 (base 7) to base 11.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 5 = -5*x, -2*s = 3*x - 0 - 1. Is s < 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*r**2 - 4020106 + 4020106 + 9*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 57750440 + -1.\nAnswer: 57750439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 6*y**2 - 9*y - 10. Let t be k(-7). Let z(j) = j + t*j + 3 - 2*j + 3*j**2 + j**3. Let d be (-2 + 0)*(-6)\/(-4). Give z(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-3) + (-6)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 123301 (base 4) to base 6\nAnswer: 12121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(448) - sqrt(448)*-1) + 2))**2*-3*1.\nAnswer: -21552 - 768*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (23994\/124)\/(3\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from stdhe. Give prob of sequence she.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/(sqrt(484) - (sqrt(484) + -2*sqrt(484)) - sqrt(4)))\/(((sqrt(24) + 5*sqrt(24))\/sqrt(2))\/sqrt(4)).\nAnswer: sqrt(11)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 3*c = 7*c + 15, -s - 3*c = -22. Suppose -1 = 2*q - s, -5*i - 3*q = -284. Is 1 + i + 1 + 2 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3598080\/(-9))\/((4*7\/10500)\/1). What is f rounded to the nearest 1000000?\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 + 9)*(0*x - 2*x + 3*x)*(0 + 18 - 4) - 10 + x + 10.\nAnswer: 211*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -236 - 291*g + 236.\nAnswer: -291*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(4\/3)\/w**(1\/2)*(((w\/((w**(1\/28)*w*w)\/w*w*w)*w)\/w)\/w)\/w**27)**(-1\/26) assuming w is positive.\nAnswer: w**(2453\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x + 12*x + 3*x)*(11*x - 23 + 23 + (0 + 0 - 2)*(x - 2 + 2) + 4 - x - 4 - 2*x + 3 - 3).\nAnswer: 66*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 360395243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + -1. Let j be 0 - (g + (2 - 12)). Suppose -4*f = -1 - 7. Solve -j = -h - f*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66 + 30 + 3*j + 36.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 141*s**2 - 45. Let j(g) = 3*g + 3. Calculate j(n(t)).\nAnswer: 423*t**2 - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -15590 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 4*p**2 - 3*p + 1. Let i be m(2). Put -3, -1, i in descending order.\nAnswer: i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 717147.1 to the nearest ten thousand.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14287278.84005 + 14252328.84. Let m = i - -34957. Let n = 7 - m. Round n to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**3 - 2*l**2 + 1. Let a be t(-2). Let h be 6 - ((-2)\/3 + 40\/15). Solve -a - 3 = h*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 54 - 30. Suppose t + 0*t - s = 0. Calculate the greatest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/15)\/(w**(-2)\/w)*w\/(w*w**(11\/4)*w)*(w*w*w*(w\/w**(-1\/9)*w)\/w)\/w assuming w is positive.\nAnswer: w**(413\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + 7*v**2 + 9*v - 2. Suppose -9 = 2*z - 25. Let u be n(z). Let x(b) = -b**2 + 7*b + 5. Calculate the smallest common multiple of 5 and x(u).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + -2. Let p(m) = 2*m - m**2 - m - z*m - 3 - 4. Calculate p(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u. Let v be m(3). Suppose v*x = -2*x + 60. Suppose 2*g = -4 + x. Solve 5*f = f - g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 - 32. Let j(r) = -r**3 + r + 9. Let l be j(0). Suppose 4*c + l = 3*n, -4*n + 12 = 2*c - 3*c. Put g, 5, n in ascending order.\nAnswer: g, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {g: 3, o: 17}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18416 + (-16)\/(-4) - 0\/2?\nAnswer: 2, 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, e: 3, h: 8, q: 4, o: 1}. What is prob of sequence hqh?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3189.826 weeks to seconds.\nAnswer: 1929206764.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 181, 293, 399, 505, 617, 741, 883, 1049?\n\"Answer: w**3 - 9*w**2 + 132*w + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*k - 139558029 + 139558029.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a + 201 = 15. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 271326 + 202114 = 4*a + h, 0 = -a + 4*h + 118377. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 317 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/138464 and -61\/43270.\nAnswer: 692320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -5*z + 293, 0 = -2*b + 2*z - 3*z - 311. Let k be -31*2\/(-4)*18. Let f = b + k. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 15 = m. Suppose -3*p + m = -2*p. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(152) + (sqrt(152) + sqrt(152)*2)*6)\/(6*sqrt(8)*1).\nAnswer: -5 + 19*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*l - 1 + 8*l - 21*l - 11 to n*l + u and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35044\/255 + -2062\/15. Is d smaller than -1.32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7947 or -7954?\nAnswer: -7954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -49 + -5 - -64 - (3 + -11 - (-2 + 3))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*f - 3*f - 34*f + 0*f.\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2739355737.\nAnswer: 3, 913118579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 + 7705 + -22 + 19 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-1395)\/(-6))\/((92\/(-8))\/(-23)) is divided by 84\/49*(-42)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 10:01 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 - -4 - -3) + 3 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10397 - -10395.7. What is the third biggest value in 2, g, 0.13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/4123 or 7?\nAnswer: -5\/4123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -8991842.6 to the nearest 10000.\nAnswer: -8990000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/4046 and -27\/926471.\nAnswer: 535500238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p - 58. Determine z(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from orrsfshsrorhsxrrf. What is prob of sequence fhfr?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.9 - -0.1. Let f = 2.2 - 2. Which is the smallest value?  (a) z  (b) -5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) -2\/17  (b) -0.2911  (c) 2\/9  (d) -0.1  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of 0*g**2 - 2\/3*g**3 + 2\/5*g**5 - 1\/2*g**4 + 0*g - 2 + 1\/3*g**6. Solve n(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -553*v + 143*v + 141*v + 137*v + 131*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8\/369 + 10\/41. Which is the nearest to -0.1?  (a) q  (b) 1  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1688025209?\nAnswer: 13, 73, 409, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-974260)\/(-28))\/(3\/(-3) + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9615000 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 + 7*a - 11. Let h be c(4). Let s be (h\/2)\/(-1 - 20\/(-16)). Let u(g) = -g**3 + 5*g**2 - 2. Calculate u(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -221.87 + 223. Let n = -4.13 + v. What is the biggest value in 0, n, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 406 + -401. Suppose -10408 = -4*z - 2*b, 5*z - 2*z + u*b = 7799. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4742488 is divided by 2371111.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9109 from -12764810.59.\nAnswer: -12755701.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 150 - 92. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(3\/5)*n*n**(2\/9)*n*n\/(n*n*(n\/(n*n\/(n*n**(-20)*n)))\/n*n*n)*n**27*n assuming n is positive.\nAnswer: n**(2152\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49 - -43. Let s(c) = c + 6. What is s(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -18b0 - -5?\nAnswer: -18a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*c*m**2*q - 35*c*m**2 - 10*c*m*q - 17*c*m + 20*m**2*q + 2*m**2 + 4*m*q - 47*m wrt m.\nAnswer: 18*c*q - 70*c + 40*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -0.1, 2\/3, -1, 69 in descending order.\nAnswer: 69, 2\/3, -0.1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*w**4\/7 + 14184*w**3\/7 + 759723*w**2\/7 + 2179836*w\/7 + 204900 = 0. What is w?\nAnswer: -50, -2, -1, 4781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 5, r: 1, o: 3, d: 3, p: 1, e: 4}. Give prob of sequence dt.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**3 + 3527*u**2 = 0. Calculate u.\nAnswer: 0, 3527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 2:53 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 390251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 172 - 46. Suppose -1 = 4*n - 9. What is the remainder when (p\/(-4) - 4)*n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 71981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.704 + 1.204. What is the nearest to -1 in 0, t, -1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of 13*h**5\/5 - 2*h**3\/3 + h**2 - 84*h - 352. Find the second derivative of u(g) wrt g.\nAnswer: 156*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 8*v + 20. Solve -p - 4 = 4*h + 4, -2*p + v*h - 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48090 and 13740?\nAnswer: 96180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tqtq. What is prob of sequence qttq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 6*z**3 + 5*z**2 + 5*z - 4. Let i(p) = -3*p**3 - 2*p**2 - 2*p + 2. Give -5*i(c) - 2*q(c).\nAnswer: 3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1766, -1766, -1758, -1736, -1694, -1626?\n\"Answer: a**3 - 2*a**2 - a - 1764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29.3668 + 26.99191. Let g = -2.385 - u. Let p = 0.01 + g. What is p rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*g + 575 = 3*g. Let h(z) = z**2 + 20*z - 15. Is 5 a factor of h(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -14*c**5 + 1130*c**4 + 44214*c**3 + 96862*c**2 + 65672*c + 11880 = 0.\nAnswer: -27, -1, -2\/7, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5394, -10757, -16130, -21519, -26930?\nAnswer: -32369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.15 and 1015609.\nAnswer: 1015608.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3047*t**2*y**3 - t**2*y**2 - t*y**5 + 1120*t + y**2 + 3*y wrt y?\nAnswer: -18282*t**2 - 60*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 22*t + 4. Let x(i) = -43*i - 8. Determine 11*v(u) + 6*x(u).\nAnswer: -16*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7656000 by 27840.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f - k = -15*f + 4, 2*f - 1 = k. Solve 0 = 5*y - f*c + 8, 4*c = -y + 9*c - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 272691 and 1107.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6663 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, -10, -3785.\nAnswer: -3785, -10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8\/6027 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -25*m**3 - 2*m**2 - 2*m + 4. Let r(h) = h**2 - 1. Let k(d) = -l(d) - 3*r(d). Calculate the remainder when k(1) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*x + 40*x + 450 = 0. What is the remainder when 187 is divided by x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*f - 38 - 40 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (6 - (-2 - -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or 125708\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 2:28 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 + 2*a**2 - 2*a**2)*(25*a - 25*a - 17*a**3).\nAnswer: -17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -0.0855, -1\/4, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 4:42 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= 5\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1199*a**6*f**3 + 9*a**6*f + 2*a**2*f**3 - 10*a**2 + 7*a*f**2 - 371*a wrt a?\nAnswer: 143880*a**3*f**3 + 1080*a**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -79*q - 6317. Let g be r(-80). Let c(t) = -t**2 - 3*t - 3. Let b be c(-2). What is the units digit of (g\/((-6)\/2))\/(b\/113)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -3. Calculate the lowest common multiple of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/2)*p**2)\/((p\/(p*(p*p**9*p)\/p)*p*p)\/(p\/p**(-7)*p))*(p**5\/p**(-4\/7))**(2\/175) assuming p is positive.\nAnswer: p**(45481\/2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 723153 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -10760415, -10760416, -10760417, -10760418, -10760419, -10760420?\n\"Answer: -m - 10760414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {q: 1, f: 11, g: 1}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*x + 1235 = -15*x. Find the second derivative of -2 + 36*y**3 - 5*y**2 - 91*y + 5*y**2 - x*y**3 wrt y.\nAnswer: -354*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 12, k: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 1039207.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(5 + sqrt(51)\/sqrt(3))**2 + (0 + sqrt(612) + 1 + sqrt(612))**2.\nAnswer: 74*sqrt(17) + 2659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 10932.\nAnswer: 21864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -235 + 240. Suppose -2*a = -4*a - 3*z + 15, -25 = a - j*z. Put 3, 1, a, -3 in ascending order.\nAnswer: -3, a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5*p + 23 = 0, 0*p - 18 = 4*u + 2*p. Let v = u - -4. Let q be (-12)\/10 - v\/(-10). Which is smaller: q or -2\/27?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000199555403 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x - 26. Let d(v) = v + 9. Determine -11*d(z) - 4*w(z).\nAnswer: z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 499 - 494. Let s = 25.7 + -26.1. Which is the nearest to 1\/6?  (a) s  (b) g  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-1))\/(117*67\/62712)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -34698 - -34674. Which is bigger: r or 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10430800 to the nearest 100000.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -i - 3, -4*h + 3*i + 3 + 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 63505265?\nAnswer: 63505303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + u. Let z be x(-1). Suppose 5*b - 60 = -25*b. Solve 3*m + b*w + 22 = 0, z*m + m = 4*w + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -1 + (2 - 4 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3  (b) 0.3  (c) 1\/4  (d) -336\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -340*v - 6. Give t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 130002979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.421 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -2 + sqrt(2736) + -1.\nAnswer: 1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101101111110000 (base 2) to base 3.\nAnswer: 1012021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -307\/932 or -1?\nAnswer: -307\/932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -566183849814+6.3\nAnswer: -566183849807.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4823897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208968 is divided by 3626.\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 794305181 to the power of 1\/3, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 - 6*z**2 - 1. Let y = 31 + -25. Determine l(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) 167  (c) -1\/2  (d) 1\/3  (e) -1\/4  (f) 2\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c + 32 = 6*n - 2*n - n, -2*n + 0*n = -195*c - n + 1373 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 12 = -5*j. Let u be ((-8)\/8)\/((-1)\/j). Let o(s) = -6*s + 1. Determine o(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 996 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*u**4 - 17745891*u**3 - 38664*u + 580.\nAnswer: 24*u**2 - 106475346*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.20606495 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -1354*z - 12210. Determine i(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 176933 and -6.\nAnswer: -1061598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1061, -1057, -1051, -1043, -1033, -1021?\n\"Answer: i**2 + i - 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q\/(q**(2\/47)\/q)*q*q*q*q**(-14)\/q assuming q is positive.\nAnswer: q**(-425\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - 1252340006705?\nAnswer: -1252340006710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddkaddiduiu. What is prob of sequence ad?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**2 + 7*x - 5. Let l(h) = h + 2*h**2 + 273 + 5*h - 279. Let z(p) = -4*l(p) + 5*t(p). Is z(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*l*w**3 - 104*l*w - 113*w**3 wrt l?\nAnswer: 2*w**3 - 104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 745977 and 85.\nAnswer: 3729885","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 2*c + 5*q, 2*c - 667*q - 10 = -665*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**11\/(w*w\/w**(-4\/19)) assuming w is positive.\nAnswer: w**(167\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.424 + 1.1563. Let i = -0.73237558 + p. What is i rounded to 6 dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -5*l - 6. Let n be j(-4). Suppose 0 = -2*z - 666*d + 663*d + 1, 5*d + 33 = z. Calculate the highest common divisor of z and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46, -186, -420, -748, -1170, -1686?\nAnswer: -2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-nine fifths of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(8\/1)*1026\/38\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 86 = -9*f, 1080*l - 1076*l = 3*f - 28 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*x**5\/8 + 99*x**4\/8 + 345*x**3\/8 - 99*x**2\/8 - 87*x\/2 = 0. What is x?\nAnswer: -29, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1122023 - 0?\nAnswer: 1122023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 52 - 20. Let g = z - 8. Suppose -3*k = 2*p + 2*k - g, 3*k = p - 12. What is the greatest common divisor of 84 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100548887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16092 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.03 + 0.43. Let v = x + -2.4. Let o = 1 + v. Are o and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 - 2064*f - 318319. Give i(-168).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k - 2. Let s be v(11). Suppose -4*o + o = s. Let x(q) = 136 + 6*q - 3*q - 138. What is x(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (14\/63 - (-4011)\/54)*2. Let u = 153 - j. Solve u*p = p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, -9, -81, -213, -423, -729?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -345.542 - -346. Round v to two decimal places.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 342525 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19604919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m - 7. Let q(f) = -46*f + 60. Let w(x) = -q(x) - 10*u(x). Let k(s) = 2*s. Calculate k(w(v)).\nAnswer: 72*v + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 41087811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**4 + 172*y**3 + 4*y**2 - 172*y.\nAnswer: -4*y*(y - 43)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i - 2. Let x be p(3). Let t be (0\/(x - -3))\/1. Let w = t - -9. What is the highest common divisor of 72 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange u + 31*u - 1 + 3 - 10*u to the form k*u + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*r + 15 + 17. Suppose y = 10 - r. Let v(i) = 8 - 7*i**2 + 3*i + 0*i**3 + 3*i**3 - 2*i**3. Determine v(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10072817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 20\/(-1) - (-321 - -204). What is the nearest to 1 in l, 2, -4, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 650\/10*222\/(-481).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.61 + -2.41. What is the nearest to r in -1.8, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5075, 10350, 15817, 21476?\n\"Answer: 96*n**2 + 4987*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -987 less than -983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45919.71 years to centuries.\nAnswer: 459.1971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-6\/7))\/(i**(5\/2)*i*i)*(i**(7\/5)*i)\/i*i**(4\/7) assuming i is positive.\nAnswer: i**(-47\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1701 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99)*3 + sqrt(99))*3*6)\/((sqrt(81)*-1)\/sqrt(9) - 3*sqrt(144)).\nAnswer: -72*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -3*v**2 - 3. Let a(o) = 2*o**2 + 2. Give -5*a(x) - 4*i(x).\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 346\/4 + (-2)\/(-4). Suppose 3*z - r = 177. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56701728 a multiple of 2088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 2) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lfzldllddlll. Give prob of picking 1 l and 1 d.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 11:52 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8\/133?  (a) -0.4  (b) -440\/89  (c) -4  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-520)\/195*36\/24)\/(((-4)\/29)\/2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 579759974?\nAnswer: 2, 289879987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5 - (((-9)\/9 - 8) + 19). What is the closest to -2 in m, 0, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n - 2. Let c be f(3). Find the second derivative of 3*z**2 - 3*z**2 - c*z**2 - 2*z wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: bb1 (base 12) to base 6\nAnswer: 11541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -75.70982 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9359019 (base 10) to base 11.\nAnswer: -531262a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**(2\/7)*(d*d**(-21\/4))\/d*d**(-2)\/d**(-19) assuming d is positive.\nAnswer: d**(365\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 17*w - 1 + 39*w + 5. Let s be h(5). Let j = -165 + s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2481.\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from zzzll.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 881903 divided by -11?\nAnswer: -80173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-4\/7)*o**(-6)\/o assuming o is positive.\nAnswer: o**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -5*z - 4. Let y = -29 - -40. Let u(d) = -14*d - 11. Let b(i) = y*w(i) - 4*u(i). Let a(h) = -3*h**2 - 3*h**2 + 3*h**2. Determine b(a(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 4, -4, 22\/7?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dwx. What is prob of sequence xwd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of -o**4 - o**2\/2 - 1. Let b be m(-1). Suppose b = 2*l - 3. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32 is divided by 17 + (-2 + 6 - 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-46)\/60 - -1 - 0. Let o = 73\/570 - t. Let r = -1 + 1.02. Put -1, r, o in descending order.\nAnswer: r, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2112 + 22102110220?\nAnswer: 22102120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/14967 and -67\/36.\nAnswer: 59868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4.7, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 89 + -87. Suppose -j + 940380 = q*l + 39374, 3*j - 2702994 = 2*l. Round j to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 9*t)*(1 - 2 + 2) in the form d + i*t and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1558 + 1553 - (2\/(-2) + -15). Let x(h) = -h**2 + 9*h - 5. Let a be x(9). Let z be -5*22*1\/a. What is the greatest common factor of l and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -532145 divided by 131\nAnswer: -532145\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -11*q - 20. Let b be m(-6). Find the third derivative of 105 - 105 - 39*d**2 - b*d**4 - 16*d**4 wrt d.\nAnswer: -1488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -207 in -0.033, -2\/9, 6064?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = j - 13, 0 = -3*a - 0*a + 2*j + 29. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus -1716549.27?\nAnswer: -1716550.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = -n - 6*b - 9, -b - 3 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*o + 44*o = -1081080. What is o rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.38 and -173.\nAnswer: -238.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -1251*a + 83. What is the hundreds digit of q(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 171980993 divided by 4\nAnswer: 171980993\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggda when four letters picked without replacement from {g: 3, a: 6, d: 1, f: 5}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(125)\/((sqrt(140)\/sqrt(4))\/sqrt(7)))\/((sqrt(8640) + -2*sqrt(8640))\/sqrt(12)) + 1.\nAnswer: -sqrt(5)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 4*c + 1 + 367, -2*m + 175 = -5*c. Calculate the remainder when m is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 - 16*g + 53. Determine c(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1519035642 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4.1028 and 0.26?\nAnswer: 1.066728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 10*f**2. Let t(r) = 748*r - 6. What is t(g(j))?\nAnswer: 7480*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*f - 5 = 12*f. Let x(v) = 3*v**3. Let w be x(f). Let u(m) = -m**2 + 2. Let j(n) = -3. What is w*u(s) + 2*j(s)?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 3, 45 in decreasing order.\nAnswer: 45, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (10 - 9)) + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 6453170 and -2.00236.\nAnswer: 6453167.99764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 951 + -679. Suppose -2*x + 54 = -c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-28) + 10\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 20 = 4*a. Let v be (-4*1)\/(-6 - a). Let k = -325 - -330. Solve -5*z = k*u, v*z + 0*z + 3*u = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-48)\/21)\/(-8) - (-436)\/42. Let -6*p + h*p**2 - 28\/3*p**3 + 4*p**4 - 2\/3*p**5 + 4\/3 = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h + 1. Let l be q(-2). Sort 2, 4, -3, l.\nAnswer: -3, l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 8*p**3 + 7*p**2 - 3. Let q(j) = j**3 - 1. What is o(l) - 6*q(l)?\nAnswer: 2*l**3 + 7*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of v**2\/2 + v - 4. Let i(p) be the second derivative of 0 - 1\/2*p**2 + 17*p + 1\/6*p**3. Determine -g(b) - i(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 3\/37, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6990 and 37746.\nAnswer: 188730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -5*t + 796, -t + 58 = -5*h - 106. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c + 1 - 1 + 3)*(5*c - 11 + 11)*(3 + 0 - 2).\nAnswer: 15*c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 201 - 56. Does 11 divide (-9)\/(-15) + 187978\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x - 4. Suppose -8 = 2*h - 6*h. Let d be 2*(-2)\/(-4)*h. Suppose 0*b + b + 5*s - 25 = 0, d*s = 3*b + 10. Determine i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h. Let l(j) = j**2 - j + 1. Let c(x) = 6*x - 109. Let y be c(18). Calculate y*l(u) + b(u).\nAnswer: -u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o - 30 = 18*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = -14*g - 6620. Let p = g - -1068. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of -y**6\/30 + 1441*y**5\/10 + 319*y**4\/3 + 1018*y. Find the third derivative of x(t) wrt t.\nAnswer: -24*t + 17292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*r**5 - 1038*r**4 - 135694*r**3 - 264162*r**2 + 400896*r = 0. What is r?\nAnswer: -261, -256, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2071725?\nAnswer: 3, 5, 23, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/9)\/r)\/r)\/r**4*((r**(-1)\/r)\/r)**34 assuming r is positive.\nAnswer: r**(-970\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*h + 9 = 4*s - 55*h, 4*s = h + 5. Is -1\/1805 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 22*i**2 + 10*i + 21. Suppose -5*b + 0 = 45. Is n(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -150944496 divided by -339?\nAnswer: 445264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00246141 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 643, 685, 769, 907, 1111, 1393, 1765?\n\"Answer: 2*m**3 + 9*m**2 + m + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 211904 and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -430 in 3, 4\/3, 0.1, -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -2, 32, 1, -10, -346 in decreasing order.\nAnswer: 32, 4, 1, -2, -4, -10, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 386 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 - 5*d**2 + 10. Let b be j(-5). Suppose 0 = -5*o + 20 + b. What is the remainder when o is divided by (2\/6)\/(2\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/(-10) - (-16)\/(-160)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 646610140 divided by 5\nAnswer: 129322028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 290, 542, 788, 1028, 1262, 1490?\n\"Answer: -3*z**2 + 261*z + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -958.7 times -2882\nAnswer: 2762973.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 13*b + 38. Let t(r) = -7*r - 20. Let v(y) = -3*n(y) - 5*t(y). Let h be v(-8). Calculate the greatest common divisor of h and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2963322?\nAnswer: 2, 3, 193, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4320 and 18765?\nAnswer: 600480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4922  (b) 1  (c) 2  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5231753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 15, 2, 3, -0.9, 1, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19751472 and 72540?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of 4*q**6\/15 + 3*q**3\/2 + 44*q. What is the second derivative of f(g) wrt g?\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4 + 51 = 8*m. Solve 11 = 5*i - 2*a, 4*i + m = -5*a - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and 628.\nAnswer: 6280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25698*a**4 + 94551*a?\nAnswer: 308376*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6723027 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 760 = 2*l. Let p be 20\/2*l\/60. Let o = 25 - p. What is the third smallest value in 0.4, -3, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1640756*o**3 - 185*o**2 - 3*o + 154 wrt o.\nAnswer: 9844536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + r = 18, -9*d + 14*d = -2*r + 87. Solve 11 = -14*v - d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by -39756?\nAnswer: -5\/19878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4517589*w + 4517591*w - 18070367*w + 4517596*w + 2*w**3 + 4517591*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + f**2 + 1. Let x(t) = -22*t**2 + t**3 + 2 + 42*t**2 - 18*t**2. Suppose 0 = -5*a + 3*a + 4*p + 14, 0 = 3*a - 4*p - 13. What is a*x(n) + 2*c(n)?\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*f = 19*f - 25. Suppose -2*v + 2*q = 100, -4*v = -2*v + f*q + 65. Let m be ((-3)\/(-5))\/(9\/v). Put m, -7, 5, 1 in decreasing order.\nAnswer: 5, 1, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of q**4\/4 - 8*q**3\/3 + 7*q**2\/2 - 10*q + 4. Is p(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 47, 80, 113, 146?\n\"Answer: 33*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 843174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/126 and -63\/4262.\nAnswer: 268506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + -7. Let q be 25\/10 + (-1)\/p. Let o(w) = -w**2 + 4*w + 1. Let j be o(3). Solve -j*t = -2*t + a + 4, -t + 1 = q*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -503 (base 10) in base 6?\nAnswer: -2155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*n**2 + 7*n**2 - 7*n**2)*(2 - 6 + 1 + (-1 + 4 - 4)*(23 + 12 - 7)).\nAnswer: -217*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 593179.5 millilitres to litres.\nAnswer: 593.1795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 8:17 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -6. Let m = 61 + y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9)\/sqrt(3) - sqrt(3))**2 + 2 + (1 + sqrt(3) - sqrt(3))*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 4, 2, 106 in decreasing order.\nAnswer: 106, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.0584 * -0.2\nAnswer: -0.01168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*g = 21*g - 28. Suppose 1905 = g*w - 692. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i + 1. Let d be g(2). Let v = -10 + 10.1. What is the nearest to -1\/7 in v, 2\/7, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 10*v + 1 + 183*v**2 - 361*v**2 + 175*v**2 - v**3. Let t = -4 + -1. Let j be g(t). Which is the second biggest value?  (a) j  (b) 4  (c) -0.4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91592 and 465664?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -132 + 129 + 19*y - 224*y**3 + 12*y wrt y?\nAnswer: -1344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**5\/12 + 10*r**3\/3 - r**2 + 7. Factor j(t).\nAnswer: -5*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k - 2*c + 52, 4*c - 11 - 9 = -3*k. Let a(f) = -5*f - 16. Let b be a(k). Let v = b + 840\/11. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2532.39616 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 4*m - 6 + m**2 + 12 - 2*m. Let k = -47 - -36. Let n(d) = -4*d**2 - 11*d - 31. Let v(f) = k*s(f) - 2*n(f). Differentiate v(h) with respect to h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2771 + 2778. Let j(a) = -11*a + 75. What is j(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 12, 7.6, -39, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (46 + -85 - -45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 - 1 + 1)*(-1 + 1 + r) + (-1684 + 822 + 408)*(-2*r**3 - 2*r**3 + 3*r**3).\nAnswer: 453*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-9)\/(-46))\/(-3))\/((-27)\/36)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (54\/15)\/((-4)\/20). Let s = c - -22. Suppose 5*l - s*d = -5*d + 19, 0 = -2*l - 2*d + 14. Solve 14 = -l*y - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175321 - 405889 = -33*k - 157*k. Is 36 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14498\/20 + 17 + 2873\/(-170). What is the highest common divisor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/62576 and -45\/3879712.\nAnswer: 3879712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.097 * -113.\nAnswer: 10.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {b: 1, q: 4, p: 7, h: 3, j: 3}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -2*c**2 - 18*c - 23. Let z be o(-7). Suppose j + 18 = z*b - 81, -2*j - 38 = -2*b. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80451043*d**2 - 80451043*d**2 - 164*d**3.\nAnswer: -164*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1.026213 millilitres?\nAnswer: 0.001026213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 9*j - 4. Let o(t) = -3*t + 1. Let i(h) = 7*o(h) + 2*s(h). Determine i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*m + 25*m = 48*m. Suppose m = -18*a + 1665 + 333. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*u + 11*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + d**2 + d + 1. Let w(l) = 5*l**3 - 16*l**2 - 17*l - 36. Let b(z) = -4*u(z) - w(z). Calculate the least common multiple of b(13) and 56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1598*m - 3036 + 3175*m - 1579*m)*(4 - 4 - 1).\nAnswer: 2*m + 3036","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(-7)*r*(r**(2\/3)*r)\/r)\/((r*r**(-5))\/r**(3\/4)))**(11\/5) assuming r is positive.\nAnswer: r**(11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 - 5*i + 3. Let t be y(5). Suppose -o + t*f = 4*f - 7, o = 3*f + 3. Let p = o + 3. Solve -5*z + 2*g = -8, -5*z + p = g - 2*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - -1. Let f = 184\/19 - 8585\/912. Let w = f - 1\/48. Is w bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16479 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.4 + -42.6. Let v = -31.5 - q. What is v rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*t - 51*t - 2*w + 22 = 0, 4*t + 2*w - 12 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 216 + -216.000000411. Round r to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 3:42 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -12021 (base 15) to base 4\nAnswer: -32000332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*t**3 + 4*t**3 + 0*t**3 + (1125*t + 333*t - 443*t)*(-1 + 3 + 0)*(-3*t**2 - t + t) to the form c*t**3 + y + z*t + l*t**2 and give c.\nAnswer: -6089","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (99\/(-27))\/(198\/(-2808))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of l**8\/16 - 83*l**4\/24 - 11*l**2. Find the second derivative of i(z) wrt z.\nAnswer: 420*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*d**2 + 1415*d - 4157?\nAnswer: 4*d + 1415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d**3 - d**2 - 3*d + 3. Suppose 5*i = -4*p + 22, -4*p + 3*p = -2*i + 1. Give c(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -117300 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 7 = p - 2*p, y = 3*p + 11. Let s(k) be the second derivative of -227*k**3\/6 - k**2 + 5*k - 5. Is s(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t**2 + 2. Let w be 2\/(-18)*3*6*-1. Suppose -f - 2*g + 6*g = 14, f - w*g + 8 = 0. Give n(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s - s - 2*s - 3 + 3 + 11*s + (-4 - 1 + 4)*(-2*s + 15 - 15) + 3 - 3 - 3*s - 1 + 1 + s)*(s + 2*s - s).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6312, 6385, 6470, 6573, 6700, 6857, 7050, 7285?\n\"Answer: b**3 + 66*b + 6245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 212 = 4*k - 2*k, 4*n + 3*k + 222 = 0. Let l be (72\/n)\/((-2)\/3). Find the common denominator of l\/14 + 143\/(-91) and 44\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/((-2)\/(156\/3)). Let x = -14 + k. Is 11 a factor of 196\/9 + x\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + 10*g**2 - 52*g + 14. Let y be b(8). Let t = -281 - y. Let r(u) = 2*u + 3. Calculate r(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 3542658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 244, 813, 1906, 3697, 6360?\nAnswer: 10069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/288)\/(7\/(-21)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*z - 15*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.18155529 rounded to two dps?\nAnswer: -14.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10331 + 10336. Calculate the smallest common multiple of c and 470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.4  (b) -1\/2102  (c) 0  (d) 13  (e) 3  (f) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 2*k - 3*k + 20, 8 = -4*g - 4*k. Let m be (-1)\/(g\/(-9)) + 3. Calculate the common denominator of m + -1*124\/128 and -113\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-28)*28\/(-24).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 4*o**3 - 4*o**2 - 4*o + 4. Let v be c(5). Suppose -12*q - 259 = -311 - 524. What is the greatest common divisor of v and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3900\/(-210) - (-4)\/7. Let d be -3*2\/3 + (-40)\/n. Suppose 15 = -3*w - 3*q, -3*w - 10 = 7*q - 3*q. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36767601 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-28) + (-5)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 24*d**2 + 36*d - 140. Let u be g(-22). Sort 6, u, -16.\nAnswer: -16, 6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 5:03 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/6 and 89\/189478.\nAnswer: 568434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 262582 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -186*y - 2444. What is f(-13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h - 4*h + 5*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 7*y**2 - 9*y - 7. Let r be d(5). Let f be r*(4\/(-6))\/((-10)\/(-75)). Factor -17*z**3 + 4*z**2 + f*z**3 + 5*z**2 - 12 + 4*z**3.\nAnswer: -3*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71.36341 nanometers in micrometers?\nAnswer: 0.07136341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 284941 is divided by 47454.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 16013914, 32027826, 48041738, 64055650, 80069562?\n\"Answer: 16013912*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 98449 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.53, -3, -17\/15, -0.1?\nAnswer: -17\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of -11*i**5\/60 - i**4\/24 - 9*i**2. Let a be y(1). Let p = a - -15. Solve 0 = -5*o + o + 2*t + 10, -5*o + p*t = -13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 2563.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2*l = -20, -4*l = -5*g - 16. Find the first derivative of -t + g*t - 5*t - 3 + 2*t wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42551112 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o + 26. Determine t(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 3*l**5\/8 - 21*l**4\/8 - 27*l**3\/4 - 3*l**2\/4 + 51*l\/8 + 27\/8 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57083.\nAnswer: 13, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-4))\/(-2)*14\/63.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j - j + j)*(-28 + 49*j**2 + 28)*(-4*j**2 + 2*j**2 + 10*j**2)*(-4 + 1 + 4).\nAnswer: -784*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -260 + 264. Suppose 4*k = i - 42, d*k + 1 = -3*i + 111. What is the smallest common multiple of i and 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 4*g + c - 84, c - 105 = -5*g. Solve -3*h + f = -2*f - g, -4*h = -f - 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28087 + -19823. Does 169 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1681, -2589, -4075, -6145, -8805, -12061, -15919?\nAnswer: -20385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 44*f - 1070. Let s be u(25). What is the greatest common divisor of 558 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 4703 = -3*d + 4658, -4*w - 72 = 6*d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4 + 1 - 4)*(2 - 3 + 4) + (32 - 73 + 32)*(8 - 2 - 1))*(-3 - v**3 + 3 + (7*v + 0*v - v)*(v**2 + 2*v - 2*v)) to g + a*v + o*v**2 + f*v**3 and give f.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6109, 12196, 18239, 24238, 30193, 36104?\nAnswer: 41971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 3*i + 2, -2385*i - 6*d - 32 = -2380*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (15*g - 88*g - 26*g)*(-7*g + 4*g - 4*g) as s + a*g**2 + z*g and give a.\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 42*q**2 + q. What are the prime factors of u(1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -30.23 + -1.27. Let j = c + 31. What is the third smallest value in j, -0.3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8.8, 2\/65, 181.25?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 13. Let c(w) = 6*w**2 + 2*w + 2. Let h(f) = f**2 + f + 1. Let b(u) = c(u) - 2*h(u). Determine t(b(y)).\nAnswer: 16*y**4 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -12*i**2 - 2*i - 9. Let j(h) = 6*h**2 + h + 4. Let f(y) = -3*b(y) - 5*j(y). What is the units digit of f(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.4 + 2.4. Let m = -111\/7 + 361\/21. Sort m, -0.3, q in descending order.\nAnswer: q, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m**2)\/m**2)\/((m\/(m**(4\/9)*m))\/((m*(m**4\/m*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 65311 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 605\/726*42\/(-20)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 210047 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2*z + 14. Let u be b(9). Let q be -7*8 - u\/(-4). Let y be 27\/(-18) - q\/2. What is the greatest common factor of 27 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 0)*(0*c + 3*c - c)*(1 + 1 - 4)*(0 - 3 + 2 + (0 - 2 + 1)*(1 - 4 + 0)) in the form g*c + i and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 7*a - 4 + 9, 5*a = 3*d + 43 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/(-4125)*-5*(-102)\/(-34).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160*c + 68448 = -69152. Calculate the highest common factor of 5332 and c.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-36)\/(-30))\/(1\/(-5)). Let v = -3 - h. Suppose -v*w + 4*g - 1016 = -7*w, w = g + 252. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + -2*(sqrt(448) + -1) + (4*sqrt(448)*-2 - sqrt(448))).\nAnswer: -5 + 440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**3 - a**2 + 5*a + 7. Let z(k) = k**2 + 9*k + 14. Let u be z(-6). What is the remainder when q(u) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 90*u - 135. Let o(r) = -13*r + 18. Let q(d) = -2*m(d) - 15*o(d). Let k(x) = -14*x**2. Determine q(k(l)).\nAnswer: -210*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 7*i = -f - 3, -4*i = -5*f + 27. Let b be (-1)\/(f\/(-42)*(-4)\/(-6)). Calculate the highest common factor of b and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 41272 and 85316?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {w: 5, h: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 215, 212, 211, 212?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h**5 - 5*h**4 - 319*h**3 - 230*h**2 - 28*h wrt h?\nAnswer: -120*h**2 - 120*h - 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 1 + -4 + 2. Solve t = -p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00949 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + 11. Let i(u) = p*u + 2*u - 3*u. Let s(t) be the first derivative of 3*t**2\/2 + 2. Give i(s(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + r = 6. Let c(l) = -5*l - 1 - 11149*l**2 + 7 + 11145*l**2. Let h(u) = 5*u**2 + 6*u - 7. Let b(a) = 4*c(a) + 3*h(a). Give b(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express g + 3*g + 2*g**2 + g**3 - 4*g**2 + 4*g**2 + 19*g - 3*g**4 in the form y*g**3 + i + h*g**2 + p*g**4 + u*g and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 230882 and 4824.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2457.44087 rounded to the nearest integer?\nAnswer: -2457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 12*t - 15*t = -8, 2*h + 5*t = 24. What is a in 3*a**4 + 0 - 2*a - h*a**2 - 9\/2*a**5 + 11\/2*a**3 = 0?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 44 = -3*d - 0*d, 0 = -4*d - 4*v + 64. What is the remainder when 22 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -16\/537?\nAnswer: -16\/537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 262897294 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*x - 2*x**2 + 10 + 140*x - 96*x.\nAnswer: -2*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 14*h**2 - 15*h - 24. Let u be g(-13). Let m(t) be the second derivative of 0*t**2 + u*t + 1\/3*t**3 + 0. Let r(f) = -2*f**2. What is r(m(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*l = -19850 + 16210 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.438, -8, 1\/99, 2\/3 in descending order.\nAnswer: 2\/3, 1\/99, -0.438, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**3\/11 + 12802*j**2\/11 + 8*j\/11 - 51208\/11 = 0. Calculate j.\nAnswer: -2, 2, 6401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2*sqrt(117) + sqrt(117))**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 3*z - 11, -2*i - 2*z - 9 - 5 = 0. Suppose 0 + 6 = -3*u, 8 = -4*g + 2*u. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/9 != -256494875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1348568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2 - 14*q + 11. Let y be g(13). Which is the nearest to 1\/4?  (a) 1  (b) -5  (c) y  (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + 0*s - 6*s)*(-12*s**2 + 12*s**2 + 27*s**3).\nAnswer: -162*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 16*m**2 + 20*m + 69. Calculate l(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-119*20\/120)\/(6\/((-576)\/(-16))).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1273*y**3 + 658*y**3 + 1013*y**3 - 983*y**3.\nAnswer: 1961*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36 and 768.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -83019663340\/27 + 3072017208. Let f = z - -2784707. Let m = -431 - f. Is 1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 3*b + 99, -136*t - b = -140*t + 97. What is the least common multiple of 1472 and t?\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -51*j - 39*j + 810 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*v**3 - 11*v**3 + 4*v**3 + (-3*v + 3*v + v)*(4*v - 4*v + v)*(-8*v + 10 - 10) + 3*v**3 - 2*v**3 + v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -8\/9*t**3 + 4\/9*t**5 - 40\/9*t**2 + 4\/9*t + 20\/9 + 20\/9*t**4 = 0. Calculate t.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -129*n - 1028. Calculate the least common multiple of i(-8) and (4 + -3)*182 - -2.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*a + 46 = 46. Suppose -h + a*h = -o - 5, -5*h = 3*o + 7. Which is bigger: h or 2\/909?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3287, -6679, -10261, -14129, -18379, -23107, -28409?\nAnswer: -34381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of -k**7\/315 + 19*k**6\/90 - 128*k**5\/45 + 40*k**4\/3 - 2*k**2 - 8*k + 576. Suppose i(a) = 0. What is a?\nAnswer: 0, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + 5*m**2 + 3*m + 1. Let q be h(-4). Suppose 0 = -t - 5*y - 0*y + 1, -q*y - 17 = 3*t. Is 13 a factor of (-3)\/t - (-136)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of 0*b**3 + 0*b**2 + 0 + 6*b + 1\/4*b**4. Let v(y) = 3*y**2. What is v(f(u))?\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 3*z - 2. Let f be 272\/119 + (-3)\/(42\/4). Calculate j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j\/j**(2\/45)*j)*j**(-35))\/(j**(-3\/28)*j**(-26)) assuming j is positive.\nAnswer: j**(-13669\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 618260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/7  (b) 0.07  (c) -23  (d) -107  (e) 2  (f) -0.5  (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 8) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 45512658 or 773715168\/17?\nAnswer: 45512658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.097 + -0.527. Let n = 0.429918 + x. What is n rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 3, 4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -383 + 534. What is the remainder when c is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, -37\/4, 2\/9 in descending order.\nAnswer: 1, 2\/9, -4, -37\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 28\/329765 and -52\/1603115?\nAnswer: 161914615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 PM and 6:02 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, -1\/6, -5, -6\/19, 4, 17, 39?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 174 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 10010101000110100101 (base 2) to base 15\nAnswer: c0e50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from issjjiszjs. Give prob of sequence si.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114*q**2 - 114*q**2 - 72*q**3.\nAnswer: -72*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 15, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 8\/237159?\nAnswer: 8\/237159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 5030*d**2 + 5038*d + 1. Give v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -k - 72, -3*t + k = -0*t + 108. Let p = 41 + t. Solve o = p*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-355*w**3 - 411*w**3 + 86*w**3)*(w - 5*w + 2*w) + 14*w**4 - 20*w**4 + 17*w**4 to the form b + h*w**4 + c*w + g*w**3 + n*w**2 and give h.\nAnswer: 1371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*m**3*r**2 - 2*m**3 - 477*m**2 + 2*m*r + 1452*r**4 - 15 wrt r?\nAnswer: 22*m**3 + 17424*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 6:40 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 44070678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10909.864 and -0.053501.\nAnswer: -10909.917501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-135)*(-9)\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 457 - 437. Suppose -13 = -2*j + 6*a - a, 0 = -j - 3*a + 12. Let z = j + d. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c**2 - 12*c + 8. What is y(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50 and 1572590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/21)\/(4\/84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.15, -3, -0.4 in decreasing order.\nAnswer: 0.15, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2 - b - 1. Let x be 15 - ((-13 - 2)\/(-3))\/1. Let m(h) = 22*h**2 + 6*h - 28. Let f(a) = x*u(a) - m(a). Suppose f(i) = 0. What is i?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4435 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -386*y + 12312. Calculate c(32).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 3*q + 0*q + 10 = 0, -2 = -h + 3*q. Let w(f) be the first derivative of -6 + 6*f + 5\/2*f**h. What is the derivative of w(d) wrt d?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -8. Let p(b) be the third derivative of 0 - 1\/24*b**4 + 0*b - 1\/6*b**3 - b**2. What is p(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hzz when three letters picked without replacement from hhhhhhhzhhzhzhhzhhh?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1852*d - 290*d + 42174 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (8 - 8) + 2 + 1 - -5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29820073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3884 is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 5*u**2 + 3*u + 3. Let c be l(4). Suppose 0 = 3*p - 7 - 2. Let b = c + p. Solve 2*v = -b*a + 4 + 10, a + 5*v - 23 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u**4 + 128*u**3 + 812*u**2 - 7992*u - 18144 = 0. What is u?\nAnswer: -9, -2, 7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3\/386  (b) -59  (c) 0.4  (d) -0.3  (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14985403 by 1.\nAnswer: 14985403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 271931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y - 9. Suppose -3*f = f - 36. Let s be g(f). Let u = s + 0. Let r(z) = -z**2 + z + 8. Calculate r(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*k**3\/13 + 662*k**2\/13 - 17360*k\/13 + 118776\/13 = 0. Calculate k.\nAnswer: 14, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 130 - 5 = 0. Let l(o) be the second derivative of o**4\/12 + 4*o**3 + 9*o**2 + 3912*o. List the prime factors of l(d).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 0)*((-2 + 1 - 1)*(-2*j - 5*j + 5*j) - j + 0*j - 2*j + (0 + 0 + 2)*(-j - 1 + 1)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 7*v - 1. Let d be a(2). Solve -3*b - 21 = 2*b + w, b = 2*w - d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/23 in 29, -0.3, 1, 7931?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -10*k**2 + 844. Let i(o) = 12*o**2 - 853. Calculate -4*i(w) - 5*m(w).\nAnswer: 2*w**2 - 808","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/16)\/((0 + 3)\/6). What is the nearest to j in -2, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 3*i + 205 = o, 4*o = -i + 209. Calculate the remainder when o is divided by 21*(15\/9 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187)*3 - sqrt(187))*5 - sqrt(187))\/(sqrt(44)\/(sqrt(32)\/sqrt(8))).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/4 of a century in years?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seventy-one fifths of a micrometer?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -4\/8200211 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21437, -20364, -19291?\nAnswer: -18218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -320603 + 320599.734542. Let s = -3.26 - d. Round s to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*j = 2*j - 18 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.8384 * -0.3\nAnswer: 0.25152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvmrmmvvrrrv. What is prob of picking 2 r, 1 m, and 1 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2297 + -1225. Find the common denominator of 4 - (r\/(-44))\/(-4) and -65\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -64c3 (base 14) to base 3.\nAnswer: -212220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of v**7\/30 - 5*v**4\/24 + 199*v**3\/6 - 14*v**2. What is the first derivative of q(t) wrt t?\nAnswer: 28*t**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -32?  (a) -1  (b) 5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -2*g - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/8)\/(2\/111536). Let p = g + -13826. Suppose -2*n = -0*n + p. What is n rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-2)*(-13)\/(-52)*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/99 - -5045\/396. Let y be (2 - 1\/3)*3. Calculate the common denominator of k and y\/(-4)*(-91)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 82 - 62. Solve -o - 4 = -4*v - w, 5*o = -v + 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + 1. Suppose 2*b - 4 = 3*s, 3*b - 1 = 5*s + x. Suppose s = -4*r + 3*l + 1, 4*l - l = 15. Solve -3*d = -r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -17*u**2 - 47*u + 70. Let f(z) = -8*z**2 - 23*z + 34. Let o(n) = -9*f(n) + 4*m(n). What is the remainder when o(-12) is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92414 is divided by 7553.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1))**(3\/35))**3\/(f**(-1\/9)*((f**(-2\/21)*f)\/f)\/f)**(2\/33) assuming f is positive.\nAnswer: f**(-1913\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -45 - -45.4. Let j = 1.2 + -0.2. Let q = -0.05 - 0.15. Which is the nearest to j?  (a) 3\/7  (b) q  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -419.9768 + -0.0232. Let m = -430 - z. What is the closest to -1\/3 in -2, m, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 4. Suppose f = j - 1. Let d be 0\/(-2 + (-2 - -2)). Solve u + f + 0 = d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 90\/(-4)*32\/(-48). Solve -c = l + 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(792)*-2)\/(sqrt(2)*2*1))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19519 = -10*v + 94141. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 5*j**3 - 1415100*j**2 - 110400615*j - 2152960290 = 0.\nAnswer: -39, 283098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - 1211120?\nAnswer: -1211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98*g - 2*s = 102*g - 3424, 4*s + 2546 = 3*g. Let d = g - 759. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - o + 170 = 0. Let z = o + 30. What is the nearest to 0 in 0, z, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/15243858 and -65\/1134.\nAnswer: 137194722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8787 + 31459. What is the ten thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -970*g - 2916. What is l(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(1\/80)*z*z)\/(z*z**34))\/((z\/(z\/(z\/z**(1\/18))))\/z**(31\/4)) assuming z is positive.\nAnswer: z**(-18851\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -7. Let x be 4\/6 + n\/3. Let g(r) = 13*r**2 + 1. What is the tens digit of g(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.09, -8.9, -4, 58962\/5?\nAnswer: 58962\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.6, 1.4, -5, 4.\nAnswer: -5, -1, -0.6, 1.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*l + 22 = -3, -3*l - 111 = -3*j. Suppose -2*b = -0*b - j. Suppose -b = -4*o - o. Solve 0 = -o*y - 0*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 8 + (0 - -2) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.8 + -12.8. Let f(m) = m**2 + 11*m + 14. Let d be f(-10). What is the closest to -1 in h, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 1)*15*10\/175.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3311 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l. Let u(n) = 156*n**2 - 14*n + 6. Let j(q) = 160*q**2 - 12*q + 5. Let h(p) = -7*j(p) + 6*u(p). Calculate d(h(c)).\nAnswer: -368*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m + 15. Let l(d) = -d - 12. Let k(h) = -5*l(h) - 4*o(h). Let z(w) = 3*w + 1. Calculate 6*k(v) - z(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 53?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/1 + (0 - -1). Let j be (-36)\/9 - -11 - 5. Find the second derivative of 40*a - j*a**4 - 15*a + 13*a**c - 9*a wrt a.\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 3*p + 9, -x + 9*p + 17 = 4*p. Let s = 58 + -24. Calculate the remainder when s is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*u + 8*u - 7*u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 18*l - 20*l + 10, 4*n = -2*l + 10. Let w be ((-7)\/(-3) - 2)*-3. Sort 3, -4, w, l in ascending order.\nAnswer: -4, w, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/23067 and 95\/568986.\nAnswer: 1706958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**2\/8 - 219*s\/2 + 877\/8 = 0.\nAnswer: -877, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 7*o = -2*o + 52, 5*d = -o - 86. Let b = 74 + d. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 751 and 543407829?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 2*j + 52 = 0, 433*j - 192 = -4*i + 442*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 107345752 and 107345745 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -119, -5, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/4 + -1)*98. Let d be (-14)\/j - (-345)\/7. Let r = 349\/7 - d. Which is the closest to -1?  (a) 2\/9  (b) -1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 4:46 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 times -2736?\nAnswer: -62928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 14.25929 and -3.\nAnswer: -42.77787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 - 17*d**2 - 8*d. What is the units digit of p(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116095?\nAnswer: 5, 7, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) -1  (c) -2.2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - -5)\/(4\/((-1456)\/(-4))). Let c = d - 80. Let r(o) = o + 3. Let k be r(8). Calculate the highest common factor of k and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1397\/3 - 466. Which is the nearest to -1\/2?  (a) -0.7  (b) h  (c) -2  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 550*k - 14323. Calculate p(26).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.3063 + -7.2337. Put 0.5, b, -0.5 in descending order.\nAnswer: 0.5, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 + 2. Let g(j) = 168*j**2 + 3. What is 3*a(n) - g(n)?\nAnswer: -165*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - 6*p - 11. Let l be o(8). Suppose -l*r = 2*r - 161. Let k = r - 21. Solve -6 - k = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -13)\/((-10)\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 220423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = b + 57, 4*u + 4*b - 32 = -0*b. Suppose u*k - 4*k = 0. Solve k*r + 6 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 439 + 121 = 112*u. Solve 15*y = u*y - 50 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - 9*i**2 - 20*i - 9. What is j(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (52\/8 - 4)*34. Let z = w + -134. Let p = z + 55. Put p, 5, 0 in descending order.\nAnswer: p, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13076254.495 + -4.\nAnswer: -13076258.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, b: 4, n: 1, r: 3, s: 6, l: 1}. What is prob of sequence bwl?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1866311 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-783)\/58 - (-10 + -4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 - j + 1. Let l be d(-2). Suppose -3*v = -8*v + 4*r - 14, -r + 5 = -2*v. Let o be (-6)\/v*l + 4. Calculate the greatest common factor of 8 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 2 = -4*b, -5*d + 73*b - 71*b = 29 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**2 - 16 + 16 + 4*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14659*f**2 - 7357*f**2 - 7323*f**2.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - b**2 + 5)*(3 + 0 - 1) - b**2 + 5*b**2 - 5*b**2 + 2*b**2 + b**2 - 2*b**2 - 184*b - 1 - b**2 + 382*b - 183*b.\nAnswer: -3*b**2 + 15*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -4*w + 8. Let v be s(1). Suppose 0 = l + v*f - 28, -l - 3*f + 73 = 3*l. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 109648*0.3\nAnswer: 32894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 202068626 divided by -178?\nAnswer: -1135217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 3307\/3 + 2408\/(-1032)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 AM and 5:44 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -6535.6 times -0.4\nAnswer: 2614.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*w + w + 4790 - 1018 = 0. Which is smaller: -23 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6984 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3 + 0.7. Let m = -1.3 + 3.3. Let o = v - m. What is the second biggest value in 4, 3\/5, o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/3384 and 26\/5?\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 42*h**2 - 70*h + 54. Determine z(2).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23330?\nAnswer: 2, 5, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9988201 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r + 21 - 21)*(-3*r**4 + 3*r**4 - r**4) + 3451*r + 11*r**5 - 3451*r.\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q*q*q\/(q**(-1\/3)*q)))\/q)**(-1)*(q**(4\/9)*q)\/q**5)\/((q*q\/q**5)\/(q**(-4)\/q)*q**1*q\/q**(1\/3)) assuming q is positive.\nAnswer: q**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(0 + (-1)\/4). What is the highest common factor of 20 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**4 - 22*g**3 + 5068*g**2 - 49632*g - 54720 = 0.\nAnswer: -60, -1, 12, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 - n + 51. Let v be w(0). Suppose 3*z - 15 = v. Suppose q - 4 = 3*q - 4*f, 4*q + 4*f = 52. What is the remainder when z is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -14513, -14504, -14489, -14468, -14441?\n\"Answer: 3*v**2 - 14516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - w + 2*w)*(-4*w + w + 5*w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4697350 divided by 5?\nAnswer: 939470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/14 + 39852\/63. Suppose -n + p = 2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -5*f - 10, -d + 6*f + 8 = 2*f. Suppose -x = c - 1, -5*c = 3*x - c - 1. Suppose -2*n + x + 5 = d. Calculate the highest common factor of 10 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and 2.001263916501?\nAnswer: 1.601263916501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2583, -2387, -1821, -687, 1213, 4077?\nAnswer: 8103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1095843*b*h**4 + 4*b*h**2 + b - 179842390*h wrt h.\nAnswer: -13150116*b*h**2 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c + 4. Let x be t(-6). Let s = 4 + x. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -171274 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 - 5*u**2 + 4*u + 25. What is w(5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 12, 0.2, -0.2, 1, 1\/154?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + -2 - -5 - -2. Suppose -10 = 5*a, i*a - 2*a = c + 199996. What is c rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = -5*f + 16, 0 = -219*f + 222*f + 4*q - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27*t - 43*t**2 - 29*t + 59*t to the form w*t + l*t**2 + n and give l.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -266 - -268. Solve -5*v = -j*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 393 and -14691.\nAnswer: -5773563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -1228*p. Let a(m) = -3187*m**2. Calculate l(a(f)).\nAnswer: 3913636*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 s, and 1 e when three letters picked without replacement from {i: 2, n: 1, e: 1, f: 2, u: 2, s: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, m: 2}. Give prob of sequence fm.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/22)*u)\/u)\/(u*u*u**(-1\/16))*(u**12)**(2\/15) assuming u is positive.\nAnswer: u**(-257\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, u: 3, k: 1, i: 3, h: 2, y: 4}. What is prob of sequence uyvh?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -147486 - -19?\nAnswer: -147467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -47658.651 to the nearest one hundred.\nAnswer: -47700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + -1)*1\/2. Let i be (-17 + 17)*2\/(-8). Suppose -b + m*b + 11 = i. Which is smaller: 10 or b?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 7*b = -495. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1232119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + 8\/(-3))*(2 + -14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101000101000110011011 - 100?\nAnswer: 101000101000110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 137806044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1 + sqrt(3) + sqrt(3) + 3 - (-1*sqrt(33))\/sqrt(11) - (sqrt(3) + sqrt(24)\/(sqrt(8) - sqrt(32)) + (sqrt(192)*-1)**2)).\nAnswer: -570 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -3*r - 3 - 7*r**2 + 25*r**2 + 7*r. Let b(p) = p**2 + p - 1. Let a(j) = -6*b(j) + d(j). Is a(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, g: 1, q: 7, s: 4}. What is prob of sequence qe?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*8\/6 + -1. Let z be 6 - (4\/3 - (-6)\/9). Suppose -z*o - 144 + 406 = 3*x, d*x + 2*o - 272 = 0. List the prime factors of x.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 17 - 2)*(4 + 1 - 2)*((1 + 0 + 1)*(2*j**3 - 3 + 3) - 2 - 2*j**3 + 2).\nAnswer: -90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 10*m**2 + 173*m + 63. Calculate the remainder when 1082 is divided by j(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 + 67*r**2 + 131*r - 719. Calculate n(69).\nAnswer: -1202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 417.3 + 275214?\nAnswer: 275631.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2364 by 4.\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 45*b**2 - 3. Let i(m) = -5*m**2. Determine o(i(w)).\nAnswer: 1125*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1363 is divided by 340.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6370.155 centuries?\nAnswer: 7644186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 9:13 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -80.7 minus -28?\nAnswer: -52.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(0 - -1 - (-35)\/(-70))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + -1)\/(6\/(-30)). Suppose 4*c - p*j - 9 = 0, 8*c - 2 = 3*c - 3*j. Let y = 4600\/19 - 242. Is c less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 11) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -552301\/18 + 30675. What is the common denominator of v and ((-1)\/(-2))\/(3\/(-129))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1898  (b) 0.11  (c) -0.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -13*b - 13. Let m(i) = 1. Let y(g) = 13*m(g) + v(g). Suppose -34*f - 37 = 3*f. Calculate the remainder when 22 is divided by y(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -171926, -171925, -171924, -171923, -171922, -171921?\n\"Answer: k - 171927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15593286 is divided by 1299440.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**11*h)**(-2\/91) assuming h is positive.\nAnswer: h**(-24\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (12\/10)\/((-3)\/(-10)). Let d = 24 - 24.187. Let y = d + 0.227. Sort i, -2, -3\/2, y.\nAnswer: -2, -3\/2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-3*sqrt(931)*-3.\nAnswer: -126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -344 - -1855. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5583, -5587, -5593, -5601?\nAnswer: -5611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-6) + (-15)\/(-90).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.415, 2, -8897?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i + 60. Let w be t(11). Find the second derivative of -20*u + 10 - 10 + u**2 + w*u**2 wrt u.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4 - -3) + -1 - 7) + 8 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -3666013?\nAnswer: 3666021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7592 + -7591.8. Which is the smallest value?  (a) -2  (b) -16  (c) -31  (d) y  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*d = 26*d - 128. Let j = d - 62. Let a be j\/(-8) - (-294)\/56. Solve n = -0 - a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/3)\/(16\/24). Let c be (43 + 3)\/2 - p. Suppose z - t = c, -z + 0*z = 4*t - 1. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12695*c + 24439 - 24439 to g + b*c and give b.\nAnswer: 12695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 400000 + 542473. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p - 10 + 7 + 0*p. Let g be v(-2). Let r(z) = z**3 - 4*z**2 - 4. Let d(m) = -1 + m**2 + 1 + 1. What is g*r(c) + 4*d(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 642*p**2 - 4470*p**3 - 4412*p**3 + 8161*p**3 - 317*p**2 - 325*p**2.\nAnswer: -721*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -79 - -80 - (11 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = s, -4*s = -3*u - s + 75. Let h = u + -10. Calculate the least common multiple of 1 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - 51. Let v = -71 - t. Let j be (-2 - -3)\/(v\/30). Are 1 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a + 16. Determine v(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.041606 and -2.404.\nAnswer: -2.445606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -108 + 159. Let r = -50.9999942 + v. What is r rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -768, -1549, -2320, -3081, -3832, -4573, -5304?\n\"Answer: 5*w**2 - 796*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, q: 1, c: 1, b: 2, o: 1, j: 2}. Give prob of sequence cjxq.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -35.2  (b) -2\/5  (c) -21  (d) 4  (e) -0.2  (f) -0.1  (g) 22\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 99 = -33*v, 117093*n + 12 = 117096*n + 4*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 + 8. Which is the third biggest value?  (a) -0.5  (b) 1\/3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 + 63. What is the tens digit of (0 - a)\/1*-13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 253 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-158)\/4)\/(-5*5\/(-50)). Let g = -76 - r. List the prime factors of g\/((-3)\/(-227)) + 5.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1678792.\nAnswer: 2, 173, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -22222 (base 3) to base 15\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 761 - 758. Suppose 4*b = 5*s + 156, -119 - 21 = -t*b - 2*s. Let o = -9 + 25. What is the remainder when b is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*z**2 - 8*z**2 + 5*z**2 + 9*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -173 + 389. Calculate the lowest common multiple of 28 and k.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 2035*r**3 + 919*r**3 + 934*r**3 to w*r**2 + n*r**3 + x*r + h and give n.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 27 = -v + 4*f, -95 = -5*v + 5*f. Suppose 4*u = 98 + 86. Calculate the remainder when u is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f + 3*f - 9 - f**2 - 7*f + 10*f = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uhuauauauuauhu. What is prob of sequence hhu?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -12982311?\nAnswer: -12982311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-1) + -1 + -2)*(-539)\/33957?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 1\/(-2)*-8. Suppose 6*x - h*x + 2 = 0. What is the common denominator of (-2910)\/12*x\/10 and -53\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -51*v - 15. Let i(f) = -7*f - 2. Suppose 4 - 8 = -2*z. Let p(s) = z*o(s) - 15*i(s). Let t(k) = 34*k. Calculate p(t(g)).\nAnswer: 102*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f - 10. Suppose -3*p = 5*w + 158, 3*w + 2 = -10. Let g = 34 + p. Let k be y(g). Solve -b - k = -2*o - 4, 5*o - 21 = -4*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(12\/22)*532\/(-266)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8 - 6\/(-4 - -1). Let h be w + -7 - 0\/1. Let o be (h - 5) + 2 + 3. Which is greater: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 60, 58, 48, 24, -20?\n\"Answer: -f**3 + 2*f**2 - f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 + k - k)*(18 - 59 - 14 + (1 + 1 - 3)*(-2 + 3 + 1) - 2 + 0 + 4)*(-5*k + 6*k + 7*k).\nAnswer: -880*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1216655258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -179772, -359755, -539742, -719733, -899728, -1079727, -1259730?\nAnswer: -1439737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4.2*-5.5\nAnswer: -23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -100 - -115. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7.01 - 6.81. Let b = -473 + 8039\/17. What is the biggest value in b, i, -4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 divided by -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95501 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 44, 4, -9459, -2, 3 in decreasing order.\nAnswer: 44, 4, 3, -2, -9459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 23*n + 22. Calculate z(-4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i - 217. Let o(y) = 30*y. What is j(o(v))?\nAnswer: -30*v - 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9980387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-9)*j)**(2\/9) assuming j is positive.\nAnswer: j**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/192 and -73\/14.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6440*v + 6456*v + 6485*v - 25778*v + 3 + 6482*v - 5.\nAnswer: 85*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -73 - -64. Is ((-6)\/c)\/((-12)\/(-11214)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**2 - 10*v + 13. Let q be (-6 - 5)*(0 - -1). Let j be t(q). Suppose -2*s + 72 = j*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ulmxlnmlmxbmm. Give prob of picking 1 n and 1 b.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5928 and 66040.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7955 - -12450. Is 10 a factor of p\/30 - (-5)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*p - 101*p + 67*p - 58*p**2.\nAnswer: -58*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 133*a**2 - 13*a + 35. What is the units digit of z(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v - 2. Calculate d(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23 * 0.04.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-4 - (4 + -12))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37741, 151942, 342607, 609736, 953329?\nAnswer: 1373386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 + 3 + 4*v + 2*v - 4. Let q be s(6). Let t(n) = -19*n - 1. Let m(g) = -49*g - 2. Let o(u) = m(u) - 3*t(u). Determine o(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6534680 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) -18  (b) 0.1  (c) -3005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -f**3*r + 196*f**3 + 12*f - 4*r wrt f.\nAnswer: -6*f*r + 1176*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193 = -65*y - 67 - 65 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -513 and 20614.\nAnswer: -10574982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3224 by 236.\nAnswer: -806\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(-1\/3))\/n)**(-1\/26)*((n*n**(2\/9)\/n)\/n*n)**(-1\/11) assuming n is positive.\nAnswer: n**(-85\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = s + 15557, 42*s - 39*s = 4*i - 20746. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7220\/266 - 26)\/((-6)\/(-28)) - 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.3, -12, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/6682810 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 5*z + 4. Suppose 24 = -r - 3*r. Let y(i) = -14*i - 12. Let q(l) = 12*l + 259. Let a be q(-23). Determine a*g(u) + r*y(u).\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8*7*4\/(-56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y*y*y**(-1\/21)*y*y)*y**(-7\/3) assuming y is positive.\nAnswer: y**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -127 - -140. Suppose i*f = -7*f + 3120. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166 + 146 = -80*b + 104*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-3)*(-1173)\/14. Let f = i + -56. Which is the second biggest value?  (a) -5  (b) 0  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11\/33*(-12)\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -3, -4\/35, 4, -1\/8 in decreasing order.\nAnswer: 4, 0.1, -4\/35, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -5*y - 4*v, 3*y - 2*v + 28 = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mqeteetttmtt. What is prob of picking 2 t and 1 q?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 16 = -3*f. Find the first derivative of -2*o**f + 3*o**4 + 3 - 3*o**4 wrt o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of 4 + c + 0*c**4 + 0*c**3 - 26\/5*c**5 + 0*c**2. Find the first derivative of z(k) wrt k.\nAnswer: -104*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 587581957.\nAnswer: 2203, 266719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/(-7))\/(8\/(-28)). Let q(r) = r**2 + 3*r - 2. Let x be q(-4). Find the first derivative of 3*l**2 + 0*l**2 + 0*l**x + 7 - a wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21*((-156)\/(-1404))\/(-3*(-3)\/297)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 3:03 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002635 rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 5*u - 33. Suppose 0 = -4*y + 46 - 2. What is the greatest common factor of u and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13.4 - -13. Let z = 0.1 + 0.1. Let x = -0.2 + 0. Which is the nearest to x?  (a) n  (b) z  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.007 + 0.014. Let t = -0.0252 + a. What is t rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.364, 1\/2, 2\/13.\nAnswer: -0.364, 2\/13, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7340 and 1445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 1566*u + 2583. Give n(-2).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 at most as big as 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -18*p**2. Let o(a) = -12*a + 39. Give s(o(m)).\nAnswer: -2592*m**2 + 16848*m - 27378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 301755192.\nAnswer: 2, 3, 337, 37309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) -2\/7  (b) 0  (c) -0.4  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y - 1. Let k(r) = 5*r - 5. Let g(w) = -k(w) + 4*x(w). Let m be g(1). Solve -3*i - 8 = -4*s, i - 4*s + 16 = -m*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16450000 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1032 (base 9) in base 8?\nAnswer: -1366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 209 + -221. Let m = -130796 + 130807.9999. Let t = s + m. Round t to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -821\/160 + 177\/32. Suppose -229 = 3*x + k, -x + 5*x = -3*k - 307. Which is the closest to y?  (a) 5  (b) x  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -557*j + 552*j - w + 6 = 0, 4 = -4*j - 3*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**4)**(7\/3)*h\/h**(7\/4)*(((h**0*h)\/h)\/h)\/h*h assuming h is positive.\nAnswer: h**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 13 = -v + 5*n, 3*v - 3*n = 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 4:56 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -28. Suppose -4*i - 2*m + 24 = 0, 3*i + 5*m - c = 5. Solve f - 2*b = -4*f + 6, 5*f + i*b = -15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/9 and 67\/1593.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**5 - o**4 - o**3 + o + 1. Let w(m) = -3*m**5 - 4*m**4 - 11*m**3 + 156*m + 4. Let z(k) = 4*b(k) - w(k). Find the second derivative of z(j) wrt j.\nAnswer: -20*j**3 + 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 - 31*k - 238. Let f be t(-16). Solve f*u = -4*r - 10, -4*r - 6 = -4*u + 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-1 - -2 - (-2 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 251*w**2 + 1. What are the prime factors of v(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, 0, 0.2, -0.3, 2\/15, 15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.04695 + -0.35038. Round m to three dps.\nAnswer: -0.303","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 90 - 30. Differentiate 15*f + 17*f - 47*f - q*f**2 + 16*f + 15 with respect to f.\nAnswer: -120*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -142.45 - -142.15. Let m be -1*1\/(-3 - -4). Which is the closest to 0.19?  (a) q  (b) m  (c) -4  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 - (1 - 27)*15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/(sqrt(384)*1) + 4 + -4 + 5.\nAnswer: sqrt(2)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 5*z + 49 = 0, -5*o + 5 = 26*z - 21*z. Let x = 1 + -3. Sort o, x, 0 in ascending order.\nAnswer: x, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 183.1327218 milliseconds to weeks.\nAnswer: 0.0000003027988125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -55e (base 16) in base 8?\nAnswer: -2536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3793500?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -4*(sqrt(176) + (sqrt(176) + 1)**2*2 + sqrt(176) - sqrt(176)) + -4.\nAnswer: -1421 - 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = 4*t - 1660. What is the remainder when t is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-3*(sqrt(448) + -2).\nAnswer: -24*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 30 = q - 7, -18 = -3*o + q. Suppose -o*s = 3*u + 10, 3*s - 4*s + 10 = 3*u. Solve l + 4*l = -u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -4*t - 4. Let l be v(-3). Suppose -4*h + 24 = 4*y, h - y - 54 = -4*h. What is the remainder when h is divided by ((-6)\/4)\/((-2)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16185 + 47260. Suppose -15993 = 4*q - h. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -295  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-23)\/(-2))\/((-4)\/(-8)). Let r(t) = -t**2 + 20*t + 80. What is the least common multiple of r(y) and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.3, 8, 0.1, 2\/5, 264?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2856.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2496840 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + -4)\/(-3) + 0. Suppose 2*m - 4*m + 6 = 0. Differentiate 0 + 6 + 3*d**h - m wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + 3*s - 4 - 26, 3*j - 28 = -2*s. Is 2 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**4\/3 - 22*c**3\/3 + 27*c**2 + 156*c = 0. What is c?\nAnswer: -3, 0, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjdz. What is prob of sequence jdjz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 - 1)*(-d + 6*d - 3*d)*(-98 + 150*d + 127*d - 263*d) to g + q*d + y*d**2 and give q.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 3\/2, 4\/3, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 - 3*h**2 + 3*h**2 + (-3 + 3 + 2*h)*(4*h - 3*h - 3*h) - 4*h**2 + 3*h**2 + 0*h**2 - 79 + 79 - 22*h**2)*(0*h**2 + 3*h**2 - h**2).\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/23)*n**(3\/11))**(2\/15) assuming n is positive.\nAnswer: n**(24\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hyshyyh. What is prob of sequence hysh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -83 + 80.96. Let q = -0.04 - i. Let k = q - 2.0016. What is k rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.47 in 0, -1\/2, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 96996 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -46.02 - -46.42. What is the third smallest value in -3, 0.3, 2\/7, 1, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8125890511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(-20)*(-5 + 1)*8. What is the remainder when (4\/1)\/(q\/412) is divided by 54?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**3 + n**3 + n**3)*(3 + 1 - 3) + (n + n + 0*n)*(19*n**2 + 131 - 131).\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r + 14. Let m be w(-6). Suppose -3*n + n + p = m, -5*n - 7 = 4*p. Let l be 1\/2 - n\/(-6). Sort l, 4, -4 in decreasing order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (168\/30)\/14*2. Factor -4\/5*z + 0 + 8\/5*z**4 - 8\/5*z**2 + j*z**5 + 0*z**3.\nAnswer: 4*z*(z - 1)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 5*x - 772718 = 4222986, c - 832609 = 5*x. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 2 + -2 - (-3 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2679905?\nAnswer: 5, 607, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9119.077 micrometers to kilometers.\nAnswer: 0.000009119077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 309 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11499 + 13510. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*x - 6417 = -56*x. What is the highest common factor of 31 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 - 26*u**4 + 13 + 14*u**2 + 27*u**2 + 25*u**4 + 9*u**3 to the form l*u**4 + o + p*u**3 + k*u + w*u**2 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 + 15*x - 16. Let z be n(14). Which is the third biggest value?  (a) -6\/7  (b) 0.3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -8, 0.1, -3 in descending order.\nAnswer: 1\/7, 0.1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - -1)*1 + 55. Suppose -68 - a = -4*z. Suppose -n = -2*y - 2*n + z, -3*y + 43 = -2*n. What is the highest common factor of y and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 6. Let n(r) = -5*r + r - 3*r + 0*r**i + r**2. Calculate n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.6926343 years?\nAnswer: 8.3116116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -2*k. Suppose q + k*q - 15 = 0. What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 664 is divided by 205?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*0.0391\nAnswer: -0.00391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -5, -0.4, -1\/3 in descending order.\nAnswer: -1\/3, -0.4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**2 + 5*j + 3. Let q be r(-5). Let t = 5 - q. Suppose 0*h - t*h = -42. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.2099 + -1.0809. What is the smallest value in -1\/2, b, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3068*l = 64149 + 129135 for l.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 AM and 1:27 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 871 - 251. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 9) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83752773.\nAnswer: 3, 13, 53, 40519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8040781 is divided by 32954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5193250*v**3 - 51464528*v**3 - 21026270*v**3.\nAnswer: -77684048*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f + 101 = a - 5*f, 4*f = -12. Suppose -d + 478 = 4*i, -a = -i + 10*d - 7*d. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*u + 19*u + 22852000 = 0. What is u rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + 0. Let v be 642\/27 + 4\/18. What is the greatest common factor of v and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 162 and (((-204)\/(-34))\/6)\/(2\/54).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 2.97. Let w = u - 0.37. Suppose 0 = 5*k + 437*q - 441*q - 33, q + 12 = 2*k. What is the second biggest value in w, k, -11, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -15*n. Suppose -5*s - 16 = -2*j - 2*s, 4*s + 16 = 0. Let o(q) = -113 + 113 + j*q. Give k(o(l)).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 0 + 0*g**6 - 1\/14*g**8 + 0*g**7 + 0*g**5 + 3*g + 0*g**3 + 0*g**2 + 1\/6*g**4. Find the third derivative of j(p) wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 23434*x**4 + 7661 wrt x?\nAnswer: 93736*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) 18\/137  (c) -497\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -64*o**2*v**2*x**3 + o**2*v*x**2 - 3*o*v**2*x + 47*o*v*x**2 + v**2*x**3 wrt x?\nAnswer: -384*o**2*v**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-10)*r**(-1\/9))**7*((r\/(r\/(r\/r**(-9))*r))\/r**0)**41 assuming r is positive.\nAnswer: r**(2684\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/((r\/(r**(2\/3)*r)*r)\/r*r))**(1\/24)*r**7\/(r**1*r*r))**13)**17 assuming r is positive.\nAnswer: r**(32045\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - 2.4. Let c = 0.08 + 4.92. Let w = o + c. Round w to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - 3*a + 1. Let w be h(2). Does 14 divide (-27)\/(-2)*-2*w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 47 = -155*v + 163*v, -5*v - 2*s + 26 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 2 = -3*b. Suppose -2*i + 8 + 14 = -4*f, 5*i - 20 = 3*f. Let r = 3 + i. Put -2, b, r in decreasing order.\nAnswer: r, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 5*v + 59, 37 = -0*o + 2*o - v. Suppose 10878 = o*c - 4368. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 14*r**2 - 13*r + 7. Let l be -5*(-2 - (-88)\/20). Let w = l + 22. What is the remainder when w is divided by v(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 4*l - 2. Let d = -4 + 4. Let g(a) = -2*a**3 + d - 2 - 9*a - 3. Let z(b) = -9*c(b) + 4*g(b). Differentiate z(m) with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + 2 - 2)*(-3 - 2 + 2) - 5*f + 6*f - 4*f - 3*f - 3*f + 5*f + (-2*f + 0*f + 0*f)*(1 - 1 - 1) - 2*f + 4*f - f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that z**2\/5 + 94394*z + 11137784045 = 0.\nAnswer: -235985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-4\/7)\/(y**(-1\/4)*y)*(y\/(y\/(y**(1\/4)\/y)))\/y**(-7) assuming y is positive.\nAnswer: y**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 177762 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 5:00 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5874752841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 1:35 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*d, -19*d + 7 = -3*h - 20*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/84 and -33\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -20786559.\nAnswer: -62359677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16*k**4\/11 + 136*k**3\/11 - 228*k**2\/11 + 118*k\/11 - 20\/11.\nAnswer: 2*(k + 10)*(2*k - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - 4*b**2 + 2*b - 1. Let d be j(4). Suppose -6*l = -d*l + 4. Suppose -20 = -c + 4*p + 3, -105 = -l*c + 3*p. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103648 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 150 and 82975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -6 + 7 - 2*r + 16*r**2 + 3. Let t = 104 - 93. Calculate the remainder when w(2) is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate n**4 + 312789*n**2 - 1428050 with respect to n.\nAnswer: 4*n**3 + 625578*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 12:51 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 25132723 + -1?\nAnswer: 25132722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/950820 and -127\/240.\nAnswer: 3803280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.124?  (a) -2\/5  (b) -1\/2  (c) 6\/1049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 12:19 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -658, -641, -590, -487, -314?\n\"Answer: 3*y**3 - y**2 - y - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of w**3\/3 - 7*w**2 - 5*w + 201. Suppose 7*d = 12*d - 3*v - 61, -4*d + 59 = v. Give z(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/21, 2, -0.06, 4, 3, 1 in descending order.\nAnswer: 4, 3, 2, 1, 5\/21, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together -36 and 4180104947.\nAnswer: 4180104911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 4.2. Let a = 0.5 + r. What is the nearest to 0 in a, -2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 271783122?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 20 = m + 20, -p = 2*m + 45. Let k = m + 14. What is the hundreds digit of (-3115)\/(-30) + (-1)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + 4*(-4 + 2*sqrt(325)*-3))*-6.\nAnswer: -3600*sqrt(13) - 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -13*l - 11. Let c be f(-1). Suppose 5*m - 38 = 2*v, c*v = m + 4*v - 10. Round m to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 753749.\nAnswer: 19, 39671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23143268 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u - 12. Let p be v(10). Let m be 2*(26\/p)\/((-1)\/2). Let i = m + -52. Solve i*t = -2*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1440862 + -21.4.\nAnswer: 1440840.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2079.05 - 68.\nAnswer: 2011.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q + 2*h - 19, h - 2188 = -5*q - 2175 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 3 - (14 - 18) - -3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -15*g. Let w(h) = -629*h. Determine -85*k(l) + 2*w(l).\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.75097063 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 10270 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) + 1 + sqrt(1100) + 0 - sqrt(1100))**2*-1 + -1 + 1*(sqrt(1100) + (sqrt(1100) + -1 - sqrt(1100)) + 2 + (-1 + sqrt(1100) + -1)**2).\nAnswer: -50*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*h**2 + 1082*h - 240 = 0.\nAnswer: 2\/9, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 2496 = -2*c, 24*r - 27*r + 1250 = c. Does 143 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 120, 468, 1046, 1854, 2892, 4160?\n\"Answer: 115*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {n: 11, t: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in 1820, 0.1, -26, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of -y**5\/30 - y**4\/6 + y**3\/6 + 7*y**2 - 29*y. Let v(z) be the first derivative of k(z). Let t = 3 + -6. Give v(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14542*j**4 - 69*j**3 - 17758603*j.\nAnswer: 174504*j**2 - 414*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 74*p - 3750. Give m(53).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 5 - (-174 - -179)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 398683 is divided by 6549.\nAnswer: 5743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 707 = 5*d + 4*z, -2*z = 5*d - 80 - 631. What is the remainder when d is divided by 53?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -4.28. Let n = -0.83 - p. Let h = n + -0.05. Round h to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 486 is divided by 130?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-541)\/2)\/(11\/(-110)). Suppose -s + 1366 = 2*g, 0 = 2*s - g - 4*g - j. Round s to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 w when three letters picked without replacement from {w: 2, u: 1, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -79*f**4 - 5 - 411*f**4 - 854*f + 278*f + 280*f + 279*f wrt f?\nAnswer: -5880*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20213223 - 1011320?\nAnswer: -21231203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3 + 8*w**2 + 13*w + 6.\nAnswer: (w + 1)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (6 + (-147)\/28)\/(21\/(-364)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 296887, 593834, 890803, 1187806, 1484855, 1781962, 2079139, 2376398?\nAnswer: 2673751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2179 and 0.435?\nAnswer: -947.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120494*l**2 + 120457*l**2 + 120493*l**2 - 361443*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7413, -7382, -7347, -7308?\nAnswer: -7265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -6*u**2 - 1312*u + 1206. List the prime factors of b(-164).\nAnswer: 2, 107, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 8:13 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f + u - 2, -503*u + 502*u + 17 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - -1 - (-196 - -169)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 9:55 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/5, -0.14, -2.2, -44.56, 1\/3, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of r**4\/20 - 4*r**3\/15 - 89*r**2\/10 - 84*r\/5 + 6909. Factor w(b).\nAnswer: (b - 12)*(b + 1)*(b + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s**2. Let z(c) = -c. Let y(b) = -3*b - 4*b + 0*b. Suppose 38*k - 9 = 29*k. Let g(f) = k*y(f) - 6*z(f). What is g(r(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 38  (b) 11.2  (c) -0.6  (d) -1  (e) -1\/2  (f) 0.79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.339 times -2?\nAnswer: -20.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -17  (b) -0.76  (c) -0.1  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1852 - -11173\/6. Find the common denominator of g and (460\/(-552))\/((-2)\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 93 and 2843484?\nAnswer: 88148004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-18))\/(((4563\/(-26))\/(-39))\/6)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 + 12. Suppose t + 5*y - 7 = 0, 5*t + q = y - 15. List the prime factors of (-15)\/(-6)*(-6)\/t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*i = 486 + 292 + 370 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 19*q - 2. Let j(o) = -20*o + 3. Calculate -2*j(a) - 3*k(a).\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 109 - 358. Let n = -234 - h. What is the greatest common factor of n and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xii when three letters picked without replacement from {b: 3, a: 1, i: 2, q: 3, r: 1, x: 7}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 150121302.11 + -1.3\nAnswer: 150121300.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6\/((-162)\/141) - 2\/(-9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 72 - 56. What is the first derivative of a + 7*s**3 - 19 + 31 + 17*s**3 wrt s?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.528 - 0.658. What is the third smallest value in 7, 5, n?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 244, 263, 282?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*b - 40*b = -8172. Does 5 divide b\/39 - (-6)\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 67 = 4*l - 3003, -4*l = 5*j - 3666. List the prime factors of j.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 43 = -o, -19 = -10*o + 9*o - 5*h. Let v(u) = u**3 + 15*u**2 - 4*u + 25. Let n be v(-15). What is the highest common divisor of n and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + 7*k**2 + k + 1. Let u be d(8). Let c = u + 101. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10385000.\nAnswer: 2, 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02717386 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -8503, -17006, -25509, -34012?\n\"Answer: -8503*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2115, 5, 4, -10 in descending order.\nAnswer: 2115, 5, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4844086461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 90 + -18?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 130) + (47 - (11 - 4))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 59218\/3*3 + -2. Suppose 9537 + 13815 = -3*g. Let a = f - g. Round a to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, e: 3, r: 3, a: 5, s: 1, c: 1}. Give prob of sequence rera.\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7079548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 - 2329 = -y. Suppose -3*p - 2*b = -y, 2*b + b - 1490 = -2*p. Suppose 0*a + p = a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/6*(-1)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1242292 divided by -4.\nAnswer: 310573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 3\/4*c**2 - 1\/2*c + 3\/4*c**3 - 1\/2*c**4 + 0 = 0. Calculate c.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 250 a factor of 14686847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 157.6202733s to weeks.\nAnswer: 0.00026061553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.002 + 1.002. Which is the second biggest value?  (a) n  (b) -0.3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9450\/1575*23\/6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15.7812 + 1.7812. Put y, -19\/3, -6 in decreasing order.\nAnswer: -6, -19\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.131 and 11.3689?\nAnswer: 1.4893259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 4\/13, -2\/7, -5, 4, 0.12, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 8*l + 1. Give s(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -542646, -542873, -543100, -543327, -543554, -543781?\nAnswer: -544008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -12*b - 21. Let x be z(-2). Let o be -20*(2 + (-27)\/12). Let h(w) = -w**2 + 6*w - 3. Let y be h(o). Solve -x*j = 3*f + 3, 4*f - y*j + 0 = 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*k**5\/8 - 225*k**4\/8 - 2799*k**3\/4 - 22425*k**2\/4 + 50625*k\/8 + 421875\/8 = 0. Calculate k.\nAnswer: -25, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/2 and 35\/1852.\nAnswer: 1852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (2403*i - 356*i + 46*i)*(4*i**2 - 4*i**2 - i**3) in the form t*i**4 + y*i + z*i**2 + g + w*i**3 and give t.\nAnswer: -2093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -0.3, 44, -4\/77 in ascending order.\nAnswer: -2\/3, -0.3, -4\/77, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 5 + 3)*(-3511*p - 3428*p - 820*p)*(4*p - 2*p - 3*p) to the form v*p**2 + l*p + w and give v.\nAnswer: 7759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -110011 (base 2) in base 3?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -15*d**2 + 217*d - 287. Calculate f(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 5*b = 156 + 243, -5*b + 783 = 4*u. Suppose -n - u = -25*n. Solve 0 = 9*g - 13*g - n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(7\/6)*l**(-22)\/l)**(-17\/3) assuming l is positive.\nAnswer: l**(2023\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v**2 + 6*v. Let r be p(3). Differentiate -27 + r*w**2 - 2*w**3 + 43*w**2 - 30 with respect to w.\nAnswer: -6*w**2 + 86*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1315439, -1315423, -1315389, -1315331, -1315243?\n\"Answer: a**3 + 3*a**2 - 1315443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 2 = 5*t + 2*x, 3*x = -t - 15. Suppose d - 2*d - 2 = t. What is the units digit of 1 - 0\/(0 - d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6893 - -1?\nAnswer: -6892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + 2 - ((34 - -32) + -51)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 64*d + 5*d**3 - d**2 + 1 - 64*d to f*d + k*d**3 + i*d**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2738 - -13733\/5. Find the common denominator of 34\/5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 5*i = -26, 12*q + 55*q + i = 18*q - 140 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34 + 5397*m**3 - 809*m**3 + 28 - 62.\nAnswer: 4588*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 168.12*0.5.\nAnswer: 84.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) + sqrt(121) + -2*sqrt(121))*4 + sqrt(121))\/sqrt(11)*-1.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -6*q + 1. Suppose 3*g + 3*o + 12 = 0, 0*o - 2*o = g + 4. Is m(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 23846  (b) 0.4  (c) -14  (d) 1  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8.5 + 8.5. Which is the smallest value?  (a) -4  (b) g  (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*f**2 - 3*f**2 - 8*f**6 + 3*f**2 wrt f?\nAnswer: -960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 4 = 4*q, 3*i = -5*q + 9*q + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -20*(3\/(-6) + (-1 - -3)). Let k = i + 31. Let r be (k + 0)*(5 + -3). Solve r*z + z = -9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12.9914 + 0.0086. Let a = 2 - l. Put a, 3, -4\/5 in increasing order.\nAnswer: a, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32 + -11. Suppose 4*j - 2*v = v + o, 0 = 5*j + v - 50. Solve j - 3 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, 4, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 - 7*w**2 + 6*w + 39. Determine b(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -8*p + 4. Let v(m) = -m + 1. Calculate -a(l) + 4*v(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6d9 + 2?\nAnswer: 6db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dyy when three letters picked without replacement from adeeppyaaepeddadeyhp?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 12, 2*c - 4*c + 3*k = 73. Let g = c - -114. What is the second derivative of -10*q**5 - g + 73 + 2*q + 5*q wrt q?\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1872) + sqrt(1872) + (sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 0)))*1 + sqrt(1872) - sqrt(1872))**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -6. Find the common denominator of 3*r + 0\/5 and (-2)\/3 + (-137)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1469\/989 + 62\/43. Let u be 4\/(-14) + (-4)\/(-14). Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 7*g = 5, 4*i = -12*g + 8*g + 4. Solve 4*p = -3*l - i + 21, -26 = -4*p + 6*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f + 1. Let d(w) = -44*w. Let p(x) = 18*x + 1. Let k(n) = 2*d(n) + 5*p(n). Let a be (-4)\/(-22) - 18\/(-22). Calculate a*k(h) - 4*b(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100020010220121 (base 3) to base 4.\nAnswer: -102231033232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3473369\/488 + 26836\/61. Let x = q - -6669. What is the common denominator of x and -41\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.1, 29.1 in decreasing order.\nAnswer: 29.1, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -18*b + 115. Give r(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -175 - -176. Is 4\/q - ((4 - -2) + -337) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -6.2. Let g = 1.8 + u. Let z = g + -1. Which is greater: z or 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/8 of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28 + -11. Let l(m) be the third derivative of -m**4\/12 - 4*m**3 + 11*m**2. What is the remainder when x is divided by l(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d - 4. Let c(p) = p + 2. Let a(k) = -5*c(k) - 3*g(k). Let q be a(0). Suppose 4*i + q*u - 6 = 10, 3*u = -4*i + 20. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1520327, 1520317, 1520307, 1520297?\nAnswer: 1520287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 + -1)\/((-3)\/3). Let f be l*-2*(1 - 0). Determine j so that -2*j**3 + 0 + 0*j**2 + 2*j + 2 - f*j**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3511775 to the power of 1\/2, to the nearest integer?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 91 + -81. Suppose -13*z + 6 = -a*z. Solve 4*o - n = -z*n + 8, 0 = -n + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 - -62. Let k(r) = -r**3 - 3*r**2 + 5*r + 1. Let t be k(-4). Let l = 4 - t. Calculate the highest common factor of x and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000205789 rounded to 7 dps?\nAnswer: -0.0000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08 + 2375912743951.\nAnswer: 2375912743951.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 58 - 62. Let b = 8 + u. Solve -6*k - 4*r - b = -2*k, 4*k + 3*r = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 2*c - 8. Suppose 0 = -c*a - 2*v + 12 + 14, 4*v - 68 = -5*a. Calculate the smallest common multiple of a and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/8)\/((-105)\/(-350)*10\/36)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 187156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1160 a factor of 665747200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -218 + -1?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 491194270 divided by 98238854.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of 142*j**5\/5 + j**2 + 149*j - 362. Find the second derivative of s(c) wrt c.\nAnswer: 1704*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1613.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1947 - -2417. What is the lowest common multiple of 141 and k?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b97 (base 13) to base 16\nAnswer: -7bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -410.4 - -411. Let l = x + -9.6. Sort 1\/5, l, 9 in descending order.\nAnswer: 9, 1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**3\/6 - 23857*u**2\/6 + 16696*u\/3 - 1590.\nAnswer: (u - 4770)*(u - 1)*(5*u - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 4 = -p, 2*k + 10 = 3*p + k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of 1\/6*o**3 + 1\/2*o**2 + 0 + 3*o. What is the first derivative of d(m) wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -1. Suppose -157*m + 354*m - 394 = 0. Solve o*n + 2*x + 8 = -0*x, -12 = -m*n + 3*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8 - (-5 - -16) - 1\/(-1). Let z = -4.11 + 0.11. Let n = 8 + z. What is the third biggest value in -4, t, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -11*k + 5. Let i be s(-5). Suppose 5*m + 3*r = -120, 2*m + 4*r + 48 = -r. Let f = 36 + m. What is the greatest common factor of f and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 2*u + 374, 4*u - 2*u + 4 = 0. Suppose 0 = -2*j + m + 5. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -345873111 less than -1729365551\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -4. Let z be 3 + (11\/55)\/(4\/(-50)). Factor -1\/4*p - 1\/4*p**3 - z*p**s + 0.\nAnswer: -p*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 - 2*z**2 - 3*z + 2. Let c(g) be the first derivative of -g**3\/3 - g**2\/2 + g + 51. Determine -6*c(a) + 3*h(a).\nAnswer: -3*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 w, and 1 g when three letters picked without replacement from guwcg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -145*c + 5*c**2 + 18*c**2 + 21*c**2 + 153*c in the form m + p*c + i*c**2 and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*l = -33*l - 604. Let s = l - 76. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 31877612 = 4*z, 0*z + z - 4*p = -7969424. What is z rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes before 12:22 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1064544399 to the power of 1\/2, to the nearest integer?\nAnswer: 32627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.3  (b) 3\/4  (c) -4691  (d) -2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*j**3 - 3*j**4 + 28*j**2 - 3456*j + 6920*j - j**5 - 3440*j.\nAnswer: -j*(j - 3)*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 31aa5 - -11a3?\nAnswer: 32c48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 84100*i**3 + i**2 + 52*i - 500.\nAnswer: 504600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 653850\/2625 - 249 - (-3646)\/(-70).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7, i: 7}. Give prob of picking 1 i and 1 z.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h. Let y(s) = 48 + 46 + s**2 - 94. Calculate y(q(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 4 + (-5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -7 - ((-2200)\/154 + 20 - -3)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1653)\/(-1015) - (-12)\/(-28)) + (-7)\/35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from fffdnpprrfdr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 4:34 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7 and 806.\nAnswer: -5642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - 2*z - 3. Let k(o) = -o**2 + o + 2. Let d(l) = 5*a(l) + 4*k(l). Does 7 divide d(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3415234*v**2 - 3415234*v**2 + 100*v**3 - 1 to u + t*v**3 + p*v**2 + h*v and give t.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157881.\nAnswer: 3, 52627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 266802.\nAnswer: 2, 3, 53, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 - -22. Suppose y = -0*b + 5*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of 6*z + 0*z**5 + 1\/6*z**7 + 0*z**2 - 1\/2*z**3 + 0*z**6 + 0*z**4 + 0. What is the second derivative of a(c) wrt c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -91035090 + -3.\nAnswer: -91035093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1527944418 a multiple of 8073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5991*w + 5991*w + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.014032697 to four dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6459627 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -70246 - -210079. Let g = r - 260833. Round g to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/2069 - -4120\/18621. What is the closest to 2\/5 in -1, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/209 and -17\/5.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 20, 35, 48, 59, 68, 75, 80?\n\"Answer: -q**2 + 18*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 3*l + 64, -5*m - 49 = 28*l - 26*l. Let c(q) = 3*q**3 + 7*q**2 - 11. Let b(y) = -y**3 - 4*y**2 + 6. What is m*b(p) - 6*c(p)?\nAnswer: -7*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.11 in 4\/3, -2\/19, 48\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3545798?\nAnswer: 2, 991, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-450)\/180*20\/30*1*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 1673*c - 1664*c.\nAnswer: -3337*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 458, -377, -1718, -3523, -5750, -8357, -11302, -14543?\nAnswer: -18038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1 + -0.4. Let h = 13.628 - 10.628. Let w = 5.02 + -0.02. What is the third biggest value in a, h, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 7:10 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48741435*x**2 + 62903316*x.\nAnswer: 97482870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -4*s**2 + 3*s - 5. Let l(d) = -8*d**2 + 5*d - 10. Let z(b) = -3*l(b) + 5*q(b). Let n be z(-3). Suppose n + 497 = 2*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-18 - 14 - 2)*(1 + 1 - 5) + 3 + 1 - 3)*(-11 - 14 - 14 + 45)*(3*l**2 - 3*l**2 - l**4) in the form o*l + h*l**4 + z + r*l**2 + f*l**3 and give h.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**4\/7 + 6217640*s**3\/7 - 6443164165500*s**2\/7 + 2225608504550325000*s\/7 + 11128203602632968750\/7.\nAnswer: -2*(s - 1036275)**3*(s + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -16, 0, -6, 64, 5 in descending order.\nAnswer: 64, 5, 2, 0, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-5*(5*(sqrt(3) - (1 + sqrt(3))) + 3 + sqrt(48) + -1))**2.\nAnswer: -600*sqrt(3) + 1429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 8*k**2. Let j(n) be the first derivative of 3*n**2\/2 - 8*n - 6916. What is j(v(t))?\nAnswer: 24*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of u**4\/6 + 39*u. Let q(i) = 108*i**2 - 3*i. What is q(c(f))?\nAnswer: 432*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6883 - -1228. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 4*n + 1217 - 4307 = 0, -3*z = n - 3072. What is the highest common factor of 154 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 686431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -53c (base 13) to base 9.\nAnswer: -1205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3550*q - 3562*q = 48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 + 10*p - 2. Let x be b(9). Let q be (-36)\/(-8)*(-1 + 3). Suppose -4*v + 2*t = 8, -4*t + q = v - x. Does v = 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**2 - 766*f\/13 + 180 = 0.\nAnswer: 45\/13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -26647682.\nAnswer: 3\/26647682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*a + a + 0*a)*(-2*a + 2*a + 2*a**3) + (-16*a**2 - 4*a**2 + 87*a**2 + (-4 + 4 - 2*a)*(a - 3 + 3))*(2*a**2 + 0 + 0).\nAnswer: 116*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -19, -25, -25, -13, 17, 71?\n\"Answer: j**3 - 3*j**2 - 4*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(45)*2)\/sqrt(9))**2 + 3 + sqrt(5) + 1.\nAnswer: sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 80695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 10*i - 26. Let f be j(5). Suppose f*h - 1272 = 20*h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 12. Suppose 0 = -h + 5*h - k. Suppose -h*m - 2 + 0 = -2*g, 0 = -5*g + m + 17. Which is the third smallest value?  (a) 3\/8  (b) g  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 26, 1\/3 in descending order.\nAnswer: 26, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 88\/(-33)*(-45)\/6 and 1*(-6)\/(-1) + 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11977 and 6209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-13)\/(-117)*(11 - (-1 + 3)))\/((-138)\/18)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o*(o\/o**16)\/o))**(-1\/51))**(15\/2) assuming o is positive.\nAnswer: o**(-75\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -6210*l - 6201*l + 128 + 12396*l. Determine j(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 141427 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -6.974, -3313, -1 in descending order.\nAnswer: -1, -6.974, -3313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -107128*i. Let o(x) = -47*x. Give o(r(s)).\nAnswer: 5035016*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z**2. Let u(i) = -2*i - 2. Let l(b) = -4*k(b) + 4*u(b). Let v(h) = 3*h + 3 - 2 + 2*h - 4*h. Give -l(q) - 8*v(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of j**3\/6 + 6*j. Let w(k) = -5*k**2. Give i(w(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 20 in 1.2, 0, -3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2463  (b) -1  (c) 1.6  (d) 2  (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -24*m + 51. Let s be w(2). Suppose 5*n - s*i - 9 = 17, 2*n = 4*i + 2. Solve 2*d - 3 = n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 108 or -30203?\nAnswer: -30203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 94\/(-14) - 2\/7. What is the smallest common multiple of -5 - -7 - (d - 1) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 5*a**2 + 5*a + 5. Let b be h(-4). What is the third biggest value in b, 2, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19379478 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: Let m be 35\/6 + 3\/18. Suppose -6 = 2*a + 5*j, 0 = -3*a + 2*a + 2*j + m. Sort -2\/15, 0, a in decreasing order.\nAnswer: a, 0, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1813481.\nAnswer: 23, 37, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 5*p + 5. Let y be (5 - 40\/12)*-3. Determine v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3940263, -7880402, -11820555, -15760728, -19700927, -23641158?\n\"Answer: -n**3 - n**2 - 3940129*n - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -10011101010101010?\nAnswer: -10011101010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 48022, 1\/6, -34, 1\/5 in increasing order.\nAnswer: -34, 1\/6, 1\/5, 48022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 - 7*y**2 - 5*y + 4. Let w be d(-6). Let x(i) = i + 3. Let f(c) = -2*c + 2. Let g be f(4). Let k be x(g). Which is greater: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from jzjzsssvsjzvjvsjj.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 13*k**2 - 8*k - 5. Let d be ((-44)\/8)\/(5\/(-20)). Let y be 27\/2*d\/33. Is m(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2. Let z(t) be the third derivative of -t**5\/60 + t**4\/12 - t**3\/6 - 9*t**2 - 4. What is -3*g(m) + z(m)?\nAnswer: 2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/5)\/((-2)\/10). Let x(i) = -i**3 + 9*i**2 - 7*i - 6. Let t be x(8). Solve s - t = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/2 - (5 + 194\/(-4)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -198, -723, -1578, -2763, -4278, -6123?\n\"Answer: -165*w**2 - 30*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r - 21 = 10*r. Suppose 2*b = -3 - 21. Let j be 24*(-7)\/3*b\/8. What is the highest common divisor of r and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lrr when three letters picked without replacement from lrrlllrl.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -4\/15*q**3 + 0 + 0*q**2 + 3\/50*q**5 - 3*q + 2\/75*q**6 - 1\/105*q**7 - 2\/15*q**4. Factor b(c).\nAnswer: -2*c*(c - 2)**2*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o**2 + o - 2. Suppose 4 = -m + 2*m. Let c(d) = 6*d**2 + d - 5. Let q(l) = m*c(l) - 7*v(l). Determine n, given that q(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*(z\/(z**(-3\/7)*z*z))\/z*z)\/z)\/z*z**4 assuming z is positive.\nAnswer: z**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of o**3\/3 + 152. Let p(z) = -7*z**2 - 6. Calculate f(p(n)).\nAnswer: 49*n**4 + 84*n**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2341210310 (base 5) to base 11\nAnswer: 3068026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 120362 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3263*d**3 + 17*d + 51. Let q(i) = -544*i**3 + 3*i + 9. Calculate -6*j(z) + 34*q(z).\nAnswer: 1082*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-77) - 30\/165. What is the third biggest value in 3, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20.62 - 17.62. Which is bigger: a or 0.366?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/9880 and 161\/360?\nAnswer: 88920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 13, 23, 35?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.01, 4778, 1\/2, -2\/13?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*-2)\/(45\/(-18) + 6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 = 3*i - 4*t, 36 = -4*i + 13*t - 9*t for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 190 - 116. Suppose 2*h + 28 = r. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 + j - 365. Let x be g(0). Let d = x + 996. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 24, -0.05, 0, 5 in descending order.\nAnswer: 24, 5, 0, -0.05, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d - 4*d - 5*f = -4, 0 = d - 2*f + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39\/((-1170)\/42)*(-4)\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3555*w + 3533*w + 990. What is the remainder when 2381 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4, 27, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2\/13 + 2*l\/13.\nAnswer: 2*l*(l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -146, -8, -4129 in descending order.\nAnswer: -8, -146, -4129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-6)*(-1014)\/(-4225).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19046074*k**5 - 58686375*k**2 wrt k?\nAnswer: 1142764440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3079*q - 2992*q - 1131 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 4*v. Let w be x(-4). Let m = w + 8. Let z(o) = -22*o - 2. Let g be z(-3). Calculate the highest common divisor of g and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/(-20) - 36\/10. Let o = p + 1. Which is the second smallest value?  (a) 0.1  (b) o  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(3*(-39)\/52*6\/(-3))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or 79\/7?\nAnswer: 79\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 1 = 4*x - 0*z, 0 = -2*x + 4*z - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + -1. Which is the second biggest value?  (a) 5  (b) x  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7161 + 8001. What is the highest common factor of j and 595?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.016869173 to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x + 8. Let p be m(6). Suppose 4*s - 3 = n, 0*n + 11 = 3*n - 2*s. Suppose -p = i - n. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 6*k = 3*k, k = 4*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 86\/6 - 5\/15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 4 = c - 3*c, 4*t + 5*c - 7 = 0. Suppose -6*m + 6 = -4*m. Find p such that 8*p**5 + 7*p**2 + 3*p**3 - 7*p**5 - 4*p**m - 4 - t*p**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 462.3838kg to grams.\nAnswer: 462383.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50084 = y - 2*k, -5*k - 145880 - 204663 = -7*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.3696 times -0.316\nAnswer: -1.0647936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -658*k. Let b(w) = 28*w - 15. Let i(t) = -45*t + 24. Let n(q) = -8*b(q) - 5*i(q). What is n(z(j))?\nAnswer: -658*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 42 = 5*f + 53, -5*f = 4*a + 56 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3\/37 + 83\/111. Let p = 13 - 12. Which is the nearest to p?  (a) 2\/9  (b) m  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 200*t + 2 = 203*t, -2*t = -l + 32. What is the closest to 0.1 in 59, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -635226*i*v**4 - i*v**2 - i*v - i + 108017*v**2 wrt v?\nAnswer: -15245424*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 86 - 80. Suppose 3*d - c = 0, -13 = 2*y - 3*d + 1. Sort -2, y, 14 in increasing order.\nAnswer: y, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25846, -103457, -232850, -414019, -646958?\nAnswer: -931661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of -l**7\/42 + 7*l**6\/10 - 41*l**5\/5 + 48*l**4 - 144*l**3 + 216*l**2 - 5*l + 3. Let h(i) = 0. What is i?\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 128, 130, 132, 134, 136?\n\"Answer: 2*a + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40772.14um to centimeters.\nAnswer: 4.077214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-4*(1 + sqrt(1584)) - sqrt(1584)).\nAnswer: -60*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (28\/8)\/(2\/188). Let r be (-194)\/(-6) - (-4)\/6. Suppose -4*l = -x + r. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y - 1 - 22*y + y)*(2 + 2 - 10)*(-2 - 2*y + 2)*(1 - 2 - 3).\nAnswer: 1104*y**2 + 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t - 13*t = -21. Let g(m) = t*m - 6*m - 4*m. Let b(o) = -o**2 - o**2 + 3*o**2. Calculate b(g(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(7) + -3*sqrt(175))**2 + -5).\nAnswer: -2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11888 or 132?\nAnswer: -11888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -15630, -15618, -15592, -15546, -15474?\n\"Answer: i**3 + i**2 + 2*i - 15634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 - (-6 - -3)\/3. What is the second derivative of -3*y**m + 3*y**2 - 5*y - 4*y**2 wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*n - 0*n. Suppose -o - n*o + 48 = 0. Suppose 0 = q - 2*c - 28, 0*c + 3*c - o = 0. What is the greatest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 19585\/10 - ((450\/(-12))\/(-5) - 6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/9)\/((-4)\/18). Suppose 5*p - f + c = p, 6 = -2*p + 2*f. Let b = 0 - p. Solve 3*d - 15 = -b*d - 5*w, w - 3 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12\/13, -19, 9685.\nAnswer: -19, -12\/13, 9685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1028)\/(-260) - 4)\/(27\/(-15)*1\/(-9)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 230 is divided by 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5845920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {c: 5, o: 1, a: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42 - -42.6. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 200 = 16. Is a + 3\/(4 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47 + -49. Let k(x) = -x + 2. Let p be k(r). Suppose 3*q + 2*c = 8, 0 = -4*q + p*c + 44. Let l(i) = -i**2 + 4*i + 5. What is l(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-seven halves of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8\/13 + -101\/143. Which is the closest to 0?  (a) -1  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, -0.046, 6\/1777?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + -51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -75.15 - -79. Let l = 0.15 + j. Sort -2\/19, 3, l in descending order.\nAnswer: l, 3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 9:58 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 11:03 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2463?\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(7\/(-5) - (-111)\/(-185)). Solve l = -4*v - 16, 28*q - 24*q - 36 = 5*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j + 35. Let h be c(-17). Let f(t) = 12*t + 9*t**2 + 5 + 2*t + h*t**2 - 12. Is f(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kazkvkkkzpkapvz. Give prob of sequence pp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 142597 by 6.\nAnswer: 142597\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/4, 4\/7, 42, -16 in increasing order.\nAnswer: -16, -5\/4, 4\/7, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.372 - -0.272. Let p be ((-1)\/(20\/(-8)))\/(-2). Let w be (-2)\/(-3)*9\/(-183). What is the closest to r in p, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3 - 7*u**2 - 4*u + 4. Let n be h(-3). Solve 8*z - n*z - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 8 + 12 = 0. Let y be 44\/d + (-6)\/15. Solve 2*a + y = w - 0*a, w + 2*a = -12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1.2, -2\/9, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/7  (b) 16  (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-305*v**3 + 1824*v - 1824*v)*(-v**2 + 0*v**2 - v**2) + (-v - 4*v**4 + v)*(2*v + 2 - 2).\nAnswer: 602*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 - (-5 + (5 - 0) + 342 + -329)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 - 27*j - 60.\nAnswer: -3*(j + 4)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 65  (c) 7\/3  (d) 14\/3  (e) -3\/4  (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*j - 5*t, -24 = -2*j - 3*t - t. Let y = j - 2. Let o = -8 - -13. Solve -5 - o = -y*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 2:43 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, q: 3, l: 2, m: 6}. Give prob of picking 3 l and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u**3 + 4*u**2 - u**2 - 3*u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -2892794 and -2892695 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + 0 - 9\/90*16. Let q = -0.28 - 0.02. Which is the nearest to 1?  (a) u  (b) q  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 106 + -2119\/20. What is the common denominator of t and -17\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -97674106365 and -0.2.\nAnswer: -97674106365.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + h - 25. Suppose -3*p + 31 = p - h*v, 4*p - 71 = -3*v. Calculate the greatest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 1) + (7 - (3 - 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z. Let d(k) = -82*k**2 + 16933*k + 17. Give a(d(m)).\nAnswer: -82*m**2 + 16933*m + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/95 and -31\/5093490.\nAnswer: 96776310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 69 = -17. Let r = y + -14. Suppose -j + r = 3*j. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.068 * 37.\nAnswer: 2.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 + 5 = -x. Let c = -13 + x. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/13363 and -89\/511612.\nAnswer: 3581284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2163*g**2 - 2*g. Let a = -13 - -12. Let y be ((-12)\/(-3))\/(a + 2). Let l be p(y). Round l to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -25, x + 44 = 3*f + 12. Suppose -10*y + f = -7*y, 4*g - 2*y - 858 = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -83*o + 2. Let r be f(-2). Let a = -20 - -44. Calculate the greatest common factor of a and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1915548 divided by -12?\nAnswer: -159629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of 0*k**2 + 0*k**3 + 0 + 5\/36*k**4 - 33*k. Suppose j(t) = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 7:25 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -16774.3987561 less than -8?\nAnswer: 16766.3987561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1663925 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + 60?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5997673 is divided by 2998820?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5604*h**3 + 73*h - 73*h.\nAnswer: 5604*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 6*f**2 + 10*f + 5. Let m be o(-4). Let l(p) = -p**3 - p**2 - p + 2. Calculate the remainder when 89 is divided by l(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 4*3*(sqrt(304) + (sqrt(304) - (-2*sqrt(304) + sqrt(304)))) - (((sqrt(304) + 4)**2 + -3)*4 + 3).\nAnswer: -1266 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18.85209kg to tonnes.\nAnswer: 0.01885209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 173 - -82. Calculate the remainder when w is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 12*l - 10*l = 16, 3*k = -4*l + 21. Let h = 7 - 13. Let g = k + h. Solve -2*d - 5*t + 5 = 2*d, 5*t = 3*d + g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -482, -1860, -4156, -7370?\nAnswer: -11502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1443121 divided by -17387\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 take away 287106.73923975?\nAnswer: -287101.73923975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 221 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 4*m - 3. Let l be b(3). Suppose -3*i + 4 = w - l*i, 8 = 2*w - 4*i. Differentiate w*a**4 - 5*a**4 - 2 + 0 with respect to a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*x - 3*x + 0*x + (2 - 2 - x)*(-3 - 1 + 5) + x + 2*x - x - 15 - 1 + 15 + 6*x + (1 - 3 + 4)*(-3 + 2*x + 3) as f + m*x and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2062268429?\nAnswer: 13, 158636033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = 2*m - 8, 1797*m - 1801*m - 5*b = 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67903 is divided by 672.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 67808 and 2272.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 52103216 divided by 44?\nAnswer: 1184164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than 18\/1712875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*x - 37*x - 2*x**2 + 19*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/26523, -1, 32 in decreasing order.\nAnswer: 32, -2\/26523, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 475176823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 46 = 4*p, -10 = -p + 2*z - 0*z. Let j(y) = y**2 - 12*y - 1. Let o be j(p). List the prime factors of -4 - 2*29\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 2*l = -115, 17 = 2*r + 4*l - 29. Let f = -9 + r. Suppose 115 = 3*x - 5*y, -2*y + 2 = -0*y. What is the remainder when x is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 93*v**3 + 8 + 25*v - 9*v - 42*v**2 + 14*v**4 - 89*v**3.\nAnswer: 2*(v - 1)**2*(v + 2)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 81\/4 + 4\/(-16). Let m be ((-8)\/z)\/((-6)\/15). Let x(b) = -3*b**2 - 6*b + 5. Let r(q) = q**2 + q - 1. Let o(a) = m*x(a) + 4*r(a). Factor o(c).\nAnswer: (c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or 3\/5374?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 213*d**2 - 109*d**2 - 81*d**2 - 88*d**2.\nAnswer: -65*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -343\/198 + 16\/9. Let h = -49\/110 + q. Which is the third biggest value?  (a) -1  (b) h  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**3 - 44*h**2 + 1115*h + 2*h**3 + 1110*h + 76*h**2 - 2225*h.\nAnswer: 2*h**3 + 32*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -13658, -13663, -13672, -13685, -13702, -13723, -13748?\n\"Answer: -2*i**2 + i - 13657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 5*d**2 - d - 10. Let u be o(4). Solve 4*r - 20 = -5*i, -u*r = -5*r - 4*i + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -5*b + 8. Let x be b\/(-5) + 1 + 0. Let q = -1.08 + 0.08. What is the closest to 2 in x, -3, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -665*h**6*r + h**2*r - 5*h*r + 4*h - 2 wrt h?\nAnswer: -79800*h**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5724595 rounded to the nearest 10000?\nAnswer: -5720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -1 - 15. Suppose -2*t = -4*l + 14, 0 = i*t - l - 11 + 4. Suppose 0 = m - 5*m. Solve 5*h - 2*k = m, 6*k - t*k = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 6 = -3*r. Let d(p) = p**2 - 3*p + 3. Let k(q) = 4170 - 2085 - 2087 + 2*q. Determine r*k(o) - 2*d(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 48 - 37. Suppose -2*t - 26 = -v - w, v - 5*t = 30. Suppose d - 22 = -2*r + 2*d, -v*r + 5*d = -50. Calculate the greatest common factor of r and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006472 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + m + 2*u - 461, 0 = -5*m - 5*u - 785. Is -156 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, -3\/28, 0.1, -26\/14429 in increasing order.\nAnswer: -2\/17, -3\/28, -26\/14429, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1399525 is divided by 194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/46 and 49\/2555202?\nAnswer: 58769646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - z - 45 = 0. Let l be 3\/z - (-20)\/6. Let y be (-80)\/(-6)*l\/2. Solve 5*h - h - y = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2004 (base 5) to base 3.\nAnswer: -100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 17 - -13?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 93 - 75. Suppose 0 = -5*p + 6*p + l. Let a be -12 - -12 - (-4)\/p. What is the closest to a in 1\/7, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.05 + 1.95. Let p = 1.9 + -3.2. Let d = p + 1.2. Which is the nearest to d?  (a) 5  (b) l  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dmvdvmvvvvvv. Give prob of picking 2 d and 1 v.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 659 + 289 = 0. What is the greatest common divisor of n and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 7*t**2 + 7*t - 8. Let h(x) = -8*x**3 - 1. Suppose -2*p = 2*p + 4. Let m be h(p). Let i(d) = -d**2 + 7*d + 6. Let q be i(m). Calculate r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 3983.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 - 1 - v + (4*v - 2*v - 3*v)*(-5 + 2 - 5))*(v - 10 + 10) as z + b*v + r*v**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 - u**2 + 92*u**3 - 89*u**3 + 46 to the form d*u**2 + i + a*u + x*u**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -11*n - 140. Let t be x(0). Let z = t - -141. Suppose 6 = 2*c + 2*h, 4*c + h + 2*h = 9. Solve l - z = -c*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 8 = -4*h. What are the prime factors of 170\/25 - h\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 0 + 0 + d. Let v be j(2). Let s = -1297 + 1297.2. What is the nearest to 2 in v, s, -3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + -3 - 13) + 12 + -58 - (1 + -1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 + 152*m - 11*m - 5*m**2 + 22 - 2*m**2.\nAnswer: -7*m**2 + 141*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-1 + 2 + sqrt(1053) + sqrt(1053))**2 - sqrt(1053)).\nAnswer: 54*sqrt(13) + 8426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(3\/2)*z)\/((z*z\/((z\/(z*z\/z**11))\/z*z))\/z))\/(z*z**(4\/5))**(2\/35) assuming z is positive.\nAnswer: z**(3989\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10850 + -10847. What is the nearest to l in 0, -0.4, -81?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m**2 - 2*m**3 + 0*m**2 + (-70*m - 8*m**2 + 70*m)*(-1 + 2*m + 1 + 4*m - m - 5*m + (5*m - 2*m - 5*m)*(-1 + 0 - 1) + 0 - m + 0 - m + 2*m + 0*m).\nAnswer: -34*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 107*q - 110*q - 5*y, -4*y + 16 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*q + 27 = s, 8*q + 6729299*s = 6729301*s + 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1075604905.\nAnswer: 5, 1093, 196817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3433 (base 12) to base 15.\nAnswer: -1ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1516111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 0*f + 4*f)*(0*f + 4*f - f).\nAnswer: 12*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 520745 is divided by 233.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-6\/7)\/p*(p**(-1\/2)\/p)\/p assuming p is positive.\nAnswer: p**(-61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = o + 2241 - 2313, 0 = -3*h + 8*h - 2*o + 87 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*n - 85 + 175. Suppose 0 = -3*f + n*g - 14*g - 2, -2 = -f - g. Which is bigger: f or -101?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**2 + 9*p - 48. Let j(w) = w**2 + w. Let l(n) = 3*j(n) - o(n). Let c(y) be the first derivative of l(y). Give c(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lkbvh. What is prob of picking 1 l and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 - -41. Suppose -12 = 13*a - m*a. Solve 0 = -r + a*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of n**4\/12 - 2*n**3\/3 + 3*n**2\/2 + 33*n + 2. Calculate w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39830674.6 plus 0.4?\nAnswer: 39830675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.2  (b) -5  (c) -0.5  (d) -4564  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-760)\/(-32))\/((-15)\/(-24)). Calculate the greatest common factor of 950 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 894379.9 weeks to days.\nAnswer: 6260659.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/11620 and -15\/8?\nAnswer: 23240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 356*d**2 - 2084*d**3 - 356*d**2.\nAnswer: -2084*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -235*c + 135 = -220*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 127561, 127607, 127671, 127753, 127853?\nAnswer: 127971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.2  (b) -5\/3  (c) 0.3  (d) -0.058  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine sixths of a hour in seconds?\nAnswer: 29400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of 0 + 9*b + 0*b**4 + 1\/5*b**5 + 0*b**3 + b**2. What is the derivative of d(c) wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(64)*-2)\/(sqrt(2)*-2*4 + sqrt(2)) + ((sqrt(24) + -2*sqrt(384))\/sqrt(12) - (sqrt(10)\/((sqrt(5)*1 - sqrt(5))*-4 - sqrt(5)))**2).\nAnswer: -41*sqrt(2)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 550290?\nAnswer: 2, 3, 5, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of 32*g**7\/35 + 37*g**5\/60 - 242*g**2. Find the third derivative of c(p) wrt p.\nAnswer: 4608*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*g + 18 = 57*g. Suppose 2*o + 15 = r, -g*r + 7*r = 3*o + 75. Calculate the greatest common divisor of 165 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150*p = -158*p + 7632. List the prime factors of p.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 413 - 411. Suppose j*m - 4170 = -5*b - 1710, -4*b = 3*m - 1975. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 PM and 12:44 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/7 - 17*h**2\/7 + 9*h + 81\/7.\nAnswer: (h - 9)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 253818349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of u**8\/2800 - u**7\/280 + u**6\/75 - u**5\/50 - 8*u**3\/3 + 11*u**2. Let b(f) be the first derivative of a(f). Factor b(o).\nAnswer: 3*o*(o - 2)**2*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -5*c**2 + 6. Let x(i) = -1. Let t(b) = -h(b) - 6*x(b). Let p be t(1). What is the nearest to -0.1 in -5, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21507 + 5419759\/252. What is the common denominator of u and 151\/234?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.005655 - 423\nAnswer: -421.994345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 6, c: 2}. What is prob of sequence cbcb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61 + -27. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/((-6)\/5 + 1). 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: Let x(g) = -g**2 + 19*g - 28. Let k = -72 - -89. Let o be x(k). Let l be 0 + -1 + (-8)\/(-1). Which is greater: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 50 = -j + 2*d, -5*j - 3*d + 55 = 0. Suppose -j*h + 35 - 3 = 0. Solve h*g + 5 = -3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 24 + 25)*(7 - 5*m - 7).\nAnswer: -230*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*f + 1525 - 238 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (r - r - 4*r)*(5*r - 33*r**2 - 8*r + r) in the form h*r**3 + q*r**2 + v + y*r and give h.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 248 and 3348.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -13 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4008*j**4 + 805012*j**3 + 1475376*j**2 - 239620*j - 4776 = 0. What is j?\nAnswer: -199, -2, -3\/167, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149169 is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, k: 3, i: 1, t: 1, b: 2, z: 3}. What is prob of picking 2 b?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 5*n**2 + 3*n - 6. Let h be d(3). Let x = h + -19. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f + 3. Let v be l(-4). Let u be (-3)\/(-1) + 13 + -2. Suppose -v*n + u*n = 5. Put 1, -5, n in ascending order.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 5*g**3 - 39*g**2 + 118*g - 858. Let f be l(8). Determine u so that -10*u - 1\/6*u**2 - f = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = p - 32 - 27, -39 = -3*n + 3*p. Let v = 1 + 161. What is the greatest common factor of v and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 2\/33  (b) -89  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/26*10\/150*12.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 5*l - 17937401 - 12416866, -30354232 = 2*j + 2*l. Let t = j - -6457121. Round t to the nearest one hundred thousand.\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 207837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 2064 - 8022. Let o = x + -59489\/10. What is the common denominator of o and 4\/9 + -242*(-6)\/(-216)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (56\/(-168))\/((-2)\/36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 2:57 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -62 and 7191348.\nAnswer: -445863576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -311 - 48. Let l = -356 - s. Let n = 0.2 - 0.1. Which is the closest to n?  (a) l  (b) -4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -302242899 divided by -37?\nAnswer: 8168727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 51252 + 15966 = 0. List the prime factors of b.\nAnswer: 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 230573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2034785 from -165.351.\nAnswer: -2034950.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/((-3)\/(-1)))\/2. Let h = 0 - -8. Suppose i = -5*m - 2, 4*i = i - m + h. Solve d = -o - i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 6 - 54. Let y be -2 + 27\/d - 6\/24. Solve -3*h + 2*h + 4 = y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -y**5\/75 + y**4\/60 - 23*y**2\/2 + 29. Let d(z) be the second derivative of i(z). Solve d(c) = 0 for c.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10002212002210 (base 3) to base 10\nAnswer: -1650531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21*k**3*t + k**3 + 11*k**2*t + 2*k**2 wrt k.\nAnswer: -126*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 22*p**2 + 482*p - 32. Determine g(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 622 and 8?\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -9408738058 - 0.07?\nAnswer: -9408738058.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 - -26 - 18) + (2 - -2) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9849 = 104*o - 34871. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 679, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -750 - -765. Which is the closest to m?  (a) -1  (b) 1\/3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 (base 4) in base 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -1180*f**2. Let i(l) = 8*l**2 + 11*l. Let y(x) = -2*x**2 - 3*x. Let n(v) = 3*i(v) + 11*y(v). Give n(o(j)).\nAnswer: 2784800*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 AM and 2:32 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -42*p + 9*p + 33*p**2 - 27 + 4*p + 2*p**3 + 12*p - p. Give d(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, g: 2, e: 2, r: 1}. What is prob of sequence krg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*k + 40 = 66. Sort k, -5, -3, -4, -1 in ascending order.\nAnswer: -5, -4, -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 4\/3, 0, 3\/8479 in descending order.\nAnswer: 3\/2, 4\/3, 3\/8479, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 450 - 263. Let v = 68 - 30. What is the remainder when r is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, y: 7, d: 1}. Give prob of picking 1 d and 1 y.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -4 + d**3 + 2*d - 5 + 18*d**2 - 18*d**2 + 5*d**2. Determine y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -1 - 10) + (31 - (-67 - (-47 - -13)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 278 + -277.999999598. Round a to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -81*n. Let z(t) = 17*t**2 - 28*t + 285. Determine v(z(b)).\nAnswer: -1377*b**2 + 2268*b - 23085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2470 = -z + 5*t, -4*z + 5840 = -5*t - 4085. Round z to the nearest ten.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16061.5904 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 419478 + 1088623402.\nAnswer: 1089042880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 11 - 15. Suppose z*n - 15 = 1. Differentiate -114*s**3 + 111*s**3 - n - 3 with respect to s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*(m*m**(-1\/5)\/m*m)\/m)\/m)\/((m*m*m**(1\/4))\/m)*m**(-2\/3)*m*m**8*m*((m*m*m**(-7)*m)\/m**(1\/20))**(1\/45) assuming m is positive.\nAnswer: m**(1169\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -11*u - 51. Let f be o(-6). Suppose -3*j + 3*k + k + f = 0, 0 = -j + 5*k + 5. Solve 6 + 14 = j*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d\/d**40)\/d*d*d*d)\/d*d**(-23))\/(d**(-16\/3)\/d**(-14\/9)))**(-7) assuming d is positive.\nAnswer: d**(3605\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 PM and 6:19 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 49 = 159. Calculate the remainder when -128*((-27)\/6 + (-4 - -8)) is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 41 = 2*c, -a + 87 = 5*c - 33. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - j - 1. Let n(k) = 3*k**2 - 5*k - 1. Let w(b) = 4*c(b) - n(b). Let f = 4 - 7. What is w(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 6. What is the derivative of -4 + o**2 + p - 1 + 3 wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 615777763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 172, 369, 592, 853, 1164, 1537, 1984?\nAnswer: 2517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5381489*g**4 + 183*g**2 + 4*g + 89 wrt g?\nAnswer: -129155736*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2 + 5)*(-4*l**3 + l**3 - 2*l**3) - 372*l**3 - 1401*l**3 + 582*l**3 as z*l + j*l**3 + h*l**2 + u and give j.\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 599890?\nAnswer: -299945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c**2 + 20*c + 12. Let y be f(5). Calculate the highest common divisor of y and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.176113 to three decimal places.\nAnswer: -2.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3122411608 to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zaz when three letters picked without replacement from ajjjaazjjaajjajjzjj?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*g**2 - 8268*g - 170308 wrt g?\nAnswer: 8*g - 8268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (24\/(-84))\/((-85)\/238). Sort -3\/8, 0.03, 0, 0.07, g in descending order.\nAnswer: g, 0.07, 0.03, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 5*o + 25, 2*o - 11 = -5*c + 5. Suppose 31 = -c*u + 23. What is the tens digit of 39 + (u - (-12)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 336*a = 332*a + 15, -2*a + 3 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 214281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23468785?\nAnswer: 5, 137, 34261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 2 and -83772.\nAnswer: -83770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**4\/15 + 4714*g**3\/5 + 155926*g**2\/15 - 287698*g\/5 - 1288924\/3 = 0 for g.\nAnswer: -13, -5, 7, 7082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 61543456*v**5 + 5337630*v + 2.\nAnswer: 1230869120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 41958.23 nanoseconds in milliseconds?\nAnswer: 0.04195823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1 + sqrt(17)) + ((sqrt(833) + 0)**2 + sqrt(833) - sqrt(17)).\nAnswer: 9*sqrt(17) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5667.282 litres?\nAnswer: 5667282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 30 divided by -2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -7*n**6\/360 + n**4\/4 + 8*n**3\/3 + 1. Let t(y) be the third derivative of m(y). What is the first derivative of t(b) wrt b?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q + 16. Let l = -104 - -106. Let z be n(l). Solve 5*y - 4*y + 4*h = -z, -3*h = 2*y + 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v - 12521 + 12527 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1849.3472 + 1849. What is q rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 34*m**3 + 3*m**2 - m. List the prime factors of x(2).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1166400*c - 26244000 - 2\/5*c**4 - 19440*c**2 - 144*c**3.\nAnswer: -2*(c + 90)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = 4*r + 63 - 95, -c + 18 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a factor of 361648490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 25 = 4*o. Let z(u) = 3*u**2 + 9*u + 10. Let g be z(o). Suppose -g - 36 = -4*r. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-1) - 7\/(42\/18). Let x be n\/(-2)*24\/18. Let u(z) = 4*z + 4*z**2 + 15 - x - 7. Let o(g) = -4*g**2 - 5*g - 5. Calculate -4*o(d) - 5*u(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -4*w - 0*w + 6, -4*w = -i - 5. Let y be 3\/(-15) - i\/3. Which is the nearest to -0.1?  (a) 2  (b) 0.5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18886\/(-60705)*(-504)\/49.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of 445*w**3\/3 - 49*w**2 - 291. What is the second derivative of z(v) wrt v?\nAnswer: 890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 211 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 3*r**2 + 9*r - 6. Is q(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 1281132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(3 + -1*(sqrt(1300)*-2 - sqrt(1300)))*6 + -5)**2.\nAnswer: 22320*sqrt(13) + 1685761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 88 and 45492?\nAnswer: 1000824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6282 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = -3*a - 1 + 19, a - 3 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -88 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b7 + -15?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -86378 - -86525. Suppose 6*y = 2*y - 116. Let a = y - -54. What is the remainder when z is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 30109403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -1266052\nAnswer: -1\/633026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/2)\/(28\/(-140))*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 23712\/(-570) + 42 - (-1)\/(70\/72)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*3 - 0\/(-1). Let u(d) = -5*d**2 - 26*d - 33. Let q be u(-13). Let t = q - -540. Solve t = -r*w - v - 8, v + 2*v = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6153510 or -0.8?\nAnswer: 6153510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12*1 + (-2 - -2). Let h = -13 - -16. Solve 2*c - 21 = h*q - 5, 2*c - 2*q = g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -1eddd0?\nAnswer: -1eddce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.344  (b) 1\/4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*k - 3*k + 5*k)*(1 + 1 - 1) + 4*k - k - k)*(-29 - 418 - 243).\nAnswer: -2760*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 297 - 269. Differentiate -125*b + 42 + 19*b + 27*b + x*b with respect to b.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 3*j**2. Let x(t) be the first derivative of -t**2 - 16. Calculate x(z(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9837 - -18406. Suppose -41*o + x = -0*o. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.11 + -0.39. Let x = -5.1 - -1.1. Let q = 4.1 + x. Sort u, q, 4.\nAnswer: u, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**3\/3 - 19084*g**2\/3 - 22695500*g\/3 + 159804988\/3.\nAnswer: -4*(g - 7)*(g + 2389)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 11*t - t**2 - 20 - 1 - 9*t. Let p be w(9). Let z = -80 - p. Solve 5*x = -5*l - 10, -l - z*l - x = 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 4 + 2*k - 2*k**3 - 4*k + k**2 to the form t*k + f*k**2 + z + y*k**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7538.142cm to meters.\nAnswer: 75.38142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -165.4 - -165.5. Which is the third smallest value?  (a) q  (b) -1\/6  (c) 4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1032*p + 1032*p - 686*p**2.\nAnswer: -686*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -39*(-91)\/(-168) - -21\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 84771 and 9513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**1)**37\/(u**(-2\/3))**(-5\/2))\/(u**(-1\/2)\/u**(2\/3))**(-40) assuming u is positive.\nAnswer: u**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of 207*s**2 - 13*s + 54. Is k(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1864 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10813 + -7284960.\nAnswer: -7274147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -389813 - -568119. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -123.4+2344041\nAnswer: 2343917.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**2. Suppose 1 + 4 = b. Let h(i) = -51*i - 5. Let p(a) = -25*a - 3. Let q(x) = b*p(x) - 3*h(x). Determine q(u(v)).\nAnswer: -56*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12659 and -0.03.\nAnswer: -379.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-22))\/(663\/(-14586)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-2\/5)*c)\/c)\/(c*c**18))**(-12) assuming c is positive.\nAnswer: c**(1164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 36 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2102 - -10?\nAnswer: -2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (7\/21)\/(3\/58221) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570\/(-180) - 1\/(-6) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 236*b**3*h*w**3 + 28*b**3*h*w**2 + 3*b*w**3 + 18*b*w**2 + 4*h*w - 2*w wrt w?\nAnswer: 1416*b**3*h + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 918cc7a - -5?\nAnswer: 918cc7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 46, 3, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 28447\/23?  (a) -14  (b) 1\/6  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(2\/5))**(3\/13))**6)**(-4\/15) assuming l is positive.\nAnswer: l**(-48\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69891*t - 139753*t + 1 + 69874*t.\nAnswer: 12*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of -p**3\/3 + p**2\/2 - 4*p + 160. Let f(k) = 2*k**2 - 2*k + 9. Calculate -4*f(y) - 9*m(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-9 + 7 + -8 - (5 + -1)) + 135 + -205\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11453*-0.5.\nAnswer: 5726.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 920541 by 306847.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10258921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 562201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 67 = 283. What is the remainder when (-4)\/(-6)*j\/6 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - -7)*-3*(-3 + -8)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -9425, -18897, -28381, -37883, -47409, -56965, -66557?\n\"Answer: -i**3 - 9465*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(3 + sqrt(19) + sqrt(19)*4).\nAnswer: -20*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24475*c**3*y**3 - 2*c**3*y**2 + 38*c**3 - c**2 + c*y - 4*y**4 - 2*y**2 wrt y.\nAnswer: -146850*c**3 - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(((g*((g**(-7\/3)\/g)\/g)\/g*g)\/g)\/g))\/(g**(-20)*g))**(2\/17) assuming g is positive.\nAnswer: g**(152\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 115\/15962*756\/945?\nAnswer: 2\/347","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -37, -81, -149, -253, -405, -617?\n\"Answer: -2*z**3 - 30*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3284.3 - 6.\nAnswer: 3278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 20 + -1557ba?\nAnswer: -15579a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 11, u: 2}. What is prob of sequence uhh?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7350 and 377650.\nAnswer: 7930650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = 84\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of w**5\/60 + 5*w**4\/24 - w**3\/6 + 7*w**2. Let i be t(-6). Let d = -5 + i. Solve d = -3*r + 5 + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2fa31 (base 16) in base 10?\nAnswer: -195121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162442 is divided by 90?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -358a41 (base 15) to base 8.\nAnswer: -11611061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t**2. Suppose -3*c = 5*z - 4*c - 14, 2*z = -5*c + 11. Let g(b) = -b**2 - 4*b**2 + z*b**2 - b**2. Give g(k(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6080, -6070, -6060, -6050?\nAnswer: -6040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4266 - -4257. Let l(c) = 7*c**3 + c**2 + 2*c + 2. Let z(o) = 27*o**3 + 4*o**2 + 9*o + 9. Determine t*l(v) + 2*z(v).\nAnswer: -9*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/5, -0.5, -45, 0, -2, -2\/9847?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 AM and 1:54 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/2, -14, -11474\/29, -4?\nAnswer: -11474\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z + 2 - z - 3*z)*(-187 + 298 - 390).\nAnswer: 837*z - 558","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/13824 and 55\/93353472?\nAnswer: 93353472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 10:54 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 334343.\nAnswer: 19, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*9\/((-135)\/70). Let y(s) = 2*s + 31. Let h be y(u). Suppose h*n - 2*o = 249 - 60, 0 = o + 3. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16439 = 10*l - 3620782 + 375143. What is l rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -3*q**3 + 31*q**2 + 6*q - 5. Let d(i) = i**3 + i**2 - i + 1. Give -5*d(j) - n(j).\nAnswer: -2*j**3 - 36*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 0.4  (c) 0.086  (d) 4\/15  (e) -2  (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 227819 and 6.\nAnswer: 1366914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12004, 23370, 34736?\nAnswer: 46102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w - 18. Let d = 1713 - 1717. Calculate r(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(3\/8)*((q**(4\/9)\/q)\/q)\/q*q*(q**(1\/3))**(2\/77))\/((q\/q**(1\/6)*q*q**(-1\/8))\/(q**8*q**8)) assuming q is positive.\nAnswer: q**(9092\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1032201302 - 10?\nAnswer: 1032201232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t**4 - 3*t + 6 + 9 - 19 + t**4 to the form x + d*t + r*t**2 + k*t**4 + b*t**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**3 + n**2 - 6*n - 12. Let x be g(-4). Let t = x - -46. Solve -4*z = -2 - t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 570, 1142, 1714, 2286, 2858?\nAnswer: 3430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 20 = -8*x. Let p(y) be the first derivative of -5*y**2 + 0*y**2 + x*y**2 + 2 + y. Differentiate p(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44094 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -t, 23*g + 5*t = 25*g - 2073. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -3*o + 2*o - 3*y, -14*y + 373 - 299 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 - 7*z + 9. Let d(a) = a**2 + 7*a + 9. Let g be d(-6). Let p = g - 9. Does 4 divide h(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*l = -32 + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2213, 2208, 2199, 2186, 2169?\n\"Answer: -2*n**2 + n + 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 37 - -10. Let x = 34 - m. What is the biggest value in -0.5, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2660783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {d: 2, o: 1, r: 2, j: 8, n: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/43)*g**(-2\/33)*g)**(-18\/11) assuming g is positive.\nAnswer: g**(-8394\/5203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -48220 rounded to the nearest 1000?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/60 and -17\/3045?\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2620 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 6 - (-5 + -2) - 0 - -6\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1332 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 65, 135, 261, 449, 705?\n\"Answer: g**3 + 22*g**2 - 3*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 4:01 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -612 and 0.0257129?\nAnswer: -15.7362948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = 4*n + 5. Let i = 27 + n. Suppose i = 3*l - 6. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 16 + 0 = 0. Suppose -x + 15 = g*x. Suppose -x*r - f + 325 = -0*f, -2*r + 224 = -3*f. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 8*l**2 + l - 9905. Let u(m) = 3*m. Give u(j(s)).\nAnswer: 24*s**2 + 3*s - 29715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + (-1 + -5)\/(-2). Let p be u + -1 - (2 - 5). Suppose 8 = -4*f, f = p*r + 3*f + 7. Which is greater: r or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/273700 and -78\/32725.\nAnswer: 3010700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -598, -221, 408, 1289, 2422?\n\"Answer: 126*t**2 - t - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiijjji. What is prob of sequence iijj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/(-6))\/((-29)\/58). Are x and -1\/574 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -598 + 323 - 788*c**4 - 224*c**4 - 2209 wrt c.\nAnswer: -4048*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6224 + -697115\/112. Calculate the common denominator of -35\/44 and n.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + y**2 - 3*y - 4. Suppose 4*i - 4 = -16. Determine f(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2951 times -83.3?\nAnswer: -245818.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*z**4 + z**3 + 2*z**2 + 0*z**4 - 4*z - 8*z**4 to the form g*z**2 + p*z**3 + r*z**4 + o*z + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 2*z - 30. Suppose -122*a + 4176 = -50*a. Calculate the remainder when a is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(297)*1 - sqrt(297))\/(sqrt(88)\/sqrt(128)))\/(sqrt(225)*2 - (sqrt(108) + sqrt(108)*-3)\/sqrt(12)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - g - 3*g - 142 = 0, 3*u - 141 = 3*g. Suppose -4*l + 120 = l. What is the remainder when u is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 924 = 360*s - 2547 - 489 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001185186 rounded to 5 decimal places?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 304?  (a) -2  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 114110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**3 - 547*p + 1265*p**2 - 4 - 1248*p**2 - 137*p + 4.\nAnswer: -2*p**3 + 17*p**2 - 684*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 0 = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 397254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 1895*o + 31 = 5*u + 1892*o, 0 = -4*u + 3*o + 47 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 317 + 43. Let y be (48\/f)\/((-4)\/(-30)). Suppose 3*m + 44 - 8 = 0. What is the smallest value in m, y, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 35794099 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 900*z**5 - 4*z**2 + 33.\nAnswer: 54000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3\/647825 or -1?\nAnswer: -3\/647825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 55\/15 + 2\/(-3). Let c be 6\/18 + (-1)\/u. Suppose 5*k - 14 + 4 = c. Solve -k*x + x + 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.03  (b) -0.02516  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lls when three letters picked without replacement from tttllttlss?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-14)\/(-4) + -6)*-362?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*d = 7 - 7. Suppose 2\/3 - c + d*c**2 + 1\/3*c**3 = 0. What is c?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13 - -4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0  (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1852, 3695, 5532, 7363?\nAnswer: 9188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**4 + 15*i**4 + 19*i**4 + (1 - 4 + 11)*(-i**4 + 0*i**2 + 0*i**2).\nAnswer: 26*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9*(2\/(-4) + (-15)\/(-6)). Let v = -14 + d. Suppose -2 - 6 = -v*l. Solve -u = -w - 0*w - 1, 0 = 2*u + l*w + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*x + 49*x = -610. List the prime factors of x.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132 = -5*o - l, l = 3*o - l - 74. Suppose -o = -3*u + 427. What are the prime factors of u?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44160734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-630)\/(-630)*(-1)\/37*3?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -4*c**2 + 42*c - 10. Let i be m(10). Solve 5*d + i + 5 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 10510*x + 8. Determine f(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 smaller than 868188845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2096868589 to the power of 1\/3, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -2 + 74. What is the derivative of 64 - 13 + g*r - 63*r wrt r?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1066 - -0.1965. What is b rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2134.21 - 2146. Let w = s + 12. What is the closest to -0.1 in -3, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12a1 (base 14) to base 11\nAnswer: 250a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 15*r - 355*r + 77*r + 14.\nAnswer: -293*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-7)*g*((g\/g**(1\/7))\/g)\/g*g*((g*g**(1\/4))\/g)**(-23)*(((g**(5\/6)\/g)\/g)\/g*g**(-1\/3))**38 assuming g is positive.\nAnswer: g**(-2993\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -23 - (13 + -16 + 5934\/(-299)). Let l = -4\/3 + 2\/3. Sort l, 30, g in decreasing order.\nAnswer: 30, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of -j**4\/4 - j**3 - j**2 - j - 1. Calculate t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 429\/7 - 61. Let n(d) = 4*d - 10 - 4*d - d. Let t be n(-8). Which is the second smallest value?  (a) x  (b) t  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + 0*u + 7*u**2 + 4*u + 8 + 3*u**2 + 5*u. What is the lowest common multiple of f(-9) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2593676491 to the power of 1\/2, to the nearest integer?\nAnswer: 50928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/11 and -83\/428.\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -4*q**3 + 2*q**2 - 3*q - 3. Let i(n) be the first derivative of 3*n**4\/4 - n**3\/3 + n**2 + 2*n - 28. What is 2*h(m) + 3*i(m)?\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*w**6 + 2*w**5 + 7*w**2 - 5*w wrt w?\nAnswer: -1080*w**3 + 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003095776 rounded to four decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - -4) + 0 + 0. Let h = -13 - -14.2. Let d = -2.2 + h. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m + 2. Let s be r(2). Suppose 1 = -q - 4*z - 0, -5*q + z + 16 = s. Let x(a) = 2*a - 6*a + q*a. Let y(p) = -2*p. Determine y(x(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d - 1. Let b(m) = -6*m + 35. Let i(z) = -b(z) - 2*l(z). Let w be i(13). Solve -a + 5*a + w = 5*o, 2*o - 9 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/3848 and -55\/42852808?\nAnswer: 557086504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 8*b**2 + 6*b - 7. Let s be y(-7). Let k(x) = -x**3 + x. Let g be k(s). What is the units digit of (2 - (-6 + g)) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23230507.\nAnswer: 3343, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6400 and -54.\nAnswer: 6346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -18.33715?\nAnswer: -91.68575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 37 - 37.068. Let t = c - -12.468. Round t to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6386, 3, 5, 0, 2 in increasing order.\nAnswer: 0, 2, 3, 5, 6386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3*f = -13942, j + 3*f + 2363 = 9334. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 8\/(-10) - ((-3354)\/10)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3500 in -3\/37, -2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 5*g**2 + 18*g - 85. Calculate z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 6*n + 30 = 4*w, -4*n - 20 = 0. Suppose 2*r + 2270 = 7*r. Calculate the common denominator of r\/70 + w\/(-50) and 38\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/2)\/(-2*11\/44)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**2 + 5*q + 5. Let s(w) = -w**2 - 3*w - 3. Let t(a) = 3*g(a) + 5*s(a). Let d(v) = -v - 3*v + 8*v. Calculate d(t(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10513*f**2 + 193*f**2 - 894*f - 2 + 894*f.\nAnswer: -10320*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -661, -660, -659, -658?\nAnswer: -657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-9)*(-3)\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -3*z + 6, 0 = -3*u + 5*z + 18. Calculate the least common multiple of u and 2\/13 - ((-178)\/26 - 1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 38641*j**2 + 151863*j wrt j?\nAnswer: 77282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1455 - -2464. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**14*(c*c\/((c*c**(4\/7))\/c)*c)\/c*c**1\/c**6)**(-2\/101) assuming c is positive.\nAnswer: c**(-174\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1142 - 18339 - 5764 = -15*o. What is the smallest common multiple of o and 2?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 2*h**2\/13 - 8686*h\/13 = 0.\nAnswer: 0, 4343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l + 3*l - 144. Calculate the remainder when 57 is divided by 16\/l + 118\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -561 + 594. What is the remainder when q is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 5 - 5 = 0. Suppose -4*p - 85*z + 90*z - 9 = 0, p - 2*z = -6. Sort p, -10, t, -3 in decreasing order.\nAnswer: t, p, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24 divided by -82\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (18 - 21)*(51\/(-18) - -3)*2. Suppose -15 + 5 = q. What is the remainder when 58 is divided by u\/4*q*6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, a: 2, q: 7, p: 2, i: 1}. Give prob of sequence pqqe.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -252f6 (base 16) in base 9?\nAnswer: -251833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-6)*(k**(-7)*k)\/k)\/((k*k*k\/k**(-1\/7)*k)\/((k*k**6*k)\/k))*((k**(-1\/3)*k)**(-8\/11))**(3\/19) assuming k is positive.\nAnswer: k**(-14951\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -23. Let k = v - -22. Suppose -k*y - 206 = -5*j - 2*y, 5 = 5*y. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155979 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -123450 divided by -41150.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of w**3\/6 - 8*w. Let b(c) = 12*c - 12. Let h = 4 + -9. Let o(j) = h*r(j) + b(j). What is the first derivative of o(q) wrt q?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*q + 4 = 37*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14367 - -24008. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 2:31 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*g + 21*g + 2*g + 5*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 376*g = 329*g - 376 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -70751, -70752, -70753, -70754?\n\"Answer: -h - 70750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 195 a factor of 29677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, p: 1, s: 6}. What is prob of sequence sjjp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l - 480 = -9*l. Let h = 101 + l. What is the second derivative of -h + 6 + 19*i + 18*i**3 - 1 wrt i?\nAnswer: 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrdgddddddrphddhddp. Give prob of sequence rdr.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -371 divided by -25\nAnswer: 371\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 22140359 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2205, -17435, -58753, -139203, -271829, -469675, -745785, -1113203?\nAnswer: -1584973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 905409 is divided by 591.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 + -26. Suppose -w = 4*z + 3*w - 4, -3*w = 9. Suppose -8*k + 22 = v*q - 4*k, -z*k + 12 = 0. Solve -q*i + 0 + 17 = 5*p, -8 = 2*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 9. Suppose -6*j = -f*j - 6. Suppose -g + 4*g - 5*h = 122, 0 = -j*g - 2*h + 115. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 695899.55 to the nearest 10000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 2*y - 17 = 0. Suppose 3606 - 39 + 1988 + 3166 = 153*n. Calculate the remainder when n is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j + g - 5, 0 = j - 4*g - 235 + 229 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-53)\/(14575\/(-150)))\/(60\/(-660)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, h: 3, s: 1, g: 5, z: 4, j: 1}. Give prob of picking 1 j and 1 s.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57 is divided by 1 + 21 + -3 - -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -2, -0.03, -0.063?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 20 = 4*b. Suppose 3*k - b*k = 2*x - 2028, -2*x + 1019 = k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -14*o**3 + 7*o**2 + 14*o + 1. Let j(d) = -19*d**3 + 8*d**2 + 15*d + 2. Give -3*j(z) + 4*q(z).\nAnswer: z**3 + 4*z**2 + 11*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 910 = 4*z - 3*i + 2643, 2*i = -2*z - 856. Let g = z + 653. What is the highest common divisor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of -2*q**7\/105 + 5*q**4\/12 - 4*q**2. What is the second derivative of r(x) wrt x?\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*d**5\/6 + 275*d**4\/6 + 755*d**3\/3 + 965*d**2\/3 - 505*d\/2 - 735\/2 = 0. Calculate d.\nAnswer: -49, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 61*b**3 + 2*b**2 + 22*b - 50. Is 20 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8225 - 8*n + 8225.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 5*h**2. Let i be -27 + 15 + 15 + 0. Let z(t) be the second derivative of 0 + 27*t - 1\/2*t**i + 0*t**2. Calculate z(f(w)).\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 26*n**2 - 6*n - 5. Let d(h) = -24*h**2 + 5*h + 4. Determine 6*d(f) + 5*g(f).\nAnswer: -14*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.03 + -2.73. Let p = 2.61 + a. Are p and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2*z + 0*z = 0. Which is smaller: -1\/8 or z?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 21)\/(24\/(-16)). Let x be 6\/a - 585200012\/28. What is x rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.902 times -4828?\nAnswer: -289206.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11001101111111 (base 2) to base 5.\nAnswer: -410213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -12801*w - 14164. Let d(t) = 2559*t + 2832. Let a(c) = 11*d(c) + 2*q(c). What is the derivative of a(x) wrt x?\nAnswer: 2547","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -147\/15788 or 0?\nAnswer: -147\/15788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.01*1268.\nAnswer: -12.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3107, -12346, -27719, -49226, -76867, -110642, -150551?\n\"Answer: -3067*j**2 - 38*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -7337 and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 147, -3, -1, -112 in decreasing order.\nAnswer: 147, -1, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -191197223.59999865 + 191197217. Let h = 22 - 15.4. Let v = h + c. Round v to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 + 9*i**2 + 4*i - 29. Let o be v(-8). Let z(r) = -o*r - 7*r + 67*r. Let f(y) = 2*y. What is z(f(w))?\nAnswer: 114*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8426381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8513.876 days in weeks?\nAnswer: 1216.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -379053, -758106, -1137159?\n\"Answer: -379053*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -27878 divided by 11?\nAnswer: -27878\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 832, 821, 794, 745, 668, 557, 406, 209?\n\"Answer: -n**3 - 2*n**2 + 2*n + 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178113611?\nAnswer: 13, 43, 318629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 plus 140.30562?\nAnswer: 140.30562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*t + 2*t = -20*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 910416672 a multiple of 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 359 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 156 - 2?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(405) + 0 + sqrt(405))*2)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 48*c*n**3 + 7805312*c*n - 253381*n**3 + 3*n**2 wrt n.\nAnswer: 288*c - 1520286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add -13.98718 and 4339.\nAnswer: 4325.01282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 779*l - 233. Is z(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13847313 to the nearest integer?\nAnswer: 3721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 3*p = 1, i - 11 = -5*p + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -573*t**3\/7 - 4092*t**2 - 27777*t\/7 + 42 = 0.\nAnswer: -49, -1, 2\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -114*f + 4900. Give o(64).\nAnswer: -2396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -15 - 113\/3*(-357)\/952\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 84*y**2 + 124*y + 136. Let l(d) = 13*d**2 + 19*d + 21. Let w(s) = 32*l(s) - 5*o(s). Factor w(c).\nAnswer: -4*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-1709539\nAnswer: -341907.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11969 + 11972.553. Round i to one dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 36.064 and -0.3?\nAnswer: -10.8192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 209386*j*o**3*u**3 - 147*o**3*u**3 - o**3*u**2 - o**3 + 37*o wrt j.\nAnswer: 209386*o**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(171)*-3 - sqrt(171)) + (sqrt(171) - (2*sqrt(171) + -3)) + 1*(-4 + (sqrt(171) - sqrt(171)*1)*6))**2.\nAnswer: 150*sqrt(19) + 106876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24462525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 128 and 602?\nAnswer: 38528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.485 + 0.085. Let g(q) = -5*q + 157. Let o be g(31). Which is the nearest to d?  (a) 0  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -70  (b) 3  (c) -2\/9  (d) 1\/2  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 4560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 9:43 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 116839999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.4  (b) -2.2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -0.3  (b) 4  (c) 2\/5  (d) 0  (e) -1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 10 - 10 = -5*s, -5*s - 2*u = -27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 61855 and 30705.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 15, -79, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46100547?\nAnswer: 3, 883, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5597?\nAnswer: 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6d74d (base 15) to base 14.\nAnswer: 91401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -64753097, -64753085, -64753073, -64753061, -64753049?\n\"Answer: 12*b - 64753109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000004842 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 2*d**3 + 46495376*d**2 + 270227545168042*d + 540454904354596 = 0.\nAnswer: -11623843, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of 32*o**3\/3 - 3*o**2\/2 - 2*o - 9. Let a = 119 + -98. What is the smallest common multiple of x(-1) and a?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 4, -2 in ascending order.\nAnswer: -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 100.98975 - 101.1. Let b = 9.07725 + c. Round b to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-1\/3)\/l**(-4\/5)*((((l\/l**1)\/l)\/l)\/l)**(-17\/4) assuming l is positive.\nAnswer: l**(793\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 83403*o**4 + 29*o**3 + 8855005*o**2 wrt o?\nAnswer: 2001672*o + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 3*v**2 + 30*v + 2. Let u be o(-10). Let z(b) = -7*b**2 + b - 1. Calculate z(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002476365001 rounded to seven dps?\nAnswer: 0.0000248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from geegggegeeggggegoo.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 1 = -2. Let r be w\/(-9)*(1 + -1). Suppose 3*n + r*n = -3*b + 33, 0 = -n + 4. What is the remainder when 13 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - (20 + 29)) + 65.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (76\/14)\/((-6)\/3). Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/2*(8 - -6). Let i(h) = -2*h**2 - 2*h + 2. Let o be i(-3). Let n = o + g. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22 - -33203?\nAnswer: 33225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 2 - (32 + -29 + -6)) + 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 15 = -33. Let d = 44 + c. Suppose 4*x + d = 9*x. What is the lowest common multiple of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448)*1)**2 - (-1 + sqrt(28) + 3).\nAnswer: -2*sqrt(7) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of 8*f**4 - 3632*f**3 - 2727*f**2 - 682*f + 2007. Factor i(m).\nAnswer: 2*(m - 341)*(4*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 606 + -603. Let f = 49\/145 + -4\/29. What is the nearest to 7 in -3, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*a = 56 + 63. Let f(i) = -i**3 - 15*i**2 - 8*i - 10. Let v(n) = -n**3 - 14*n**2 - 8*n - 9. Let b(l) = 6*f(l) - 7*v(l). Give b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 5 - ((-462924)\/86840 + 2\/20)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87 + 73 + 75 - 242 - 1151*d.\nAnswer: -1151*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-4) + 4 + (-59)\/10. Which is the nearest to 1?  (a) -6  (b) s  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 = -3*v + 56. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.72 - 1.6. Let n = k - -0.18. Which is the third smallest value?  (a) -2\/11  (b) -1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -337 + 441. Calculate the highest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35 - 27. Suppose x - d + 8 = 0. Factor x*l**2 + 3\/5*l + 2\/5 - 1\/5*l**3.\nAnswer: -(l - 2)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-12)\/48*6)\/(3\/(-4)). Solve -m*z - 25 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 7:16 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 25, 0.04, -3\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 5*r + 1388, -3*r - 2*r = 3*f + 1041. Let i = 403 + f. Are i and 53 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-12)*2*80\/20. Solve -4*d + 5*w - i = 0, -d - 2*w = -9 + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 3 - 2*r + 2*r**2 - 3*r**2 - 2*r + 106*r**3. Let k be h(1). What is the highest common factor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 551413199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g**3\/2 + 194*g**2 - 14797*g\/2 - 1076955 = 0.\nAnswer: -55, 122, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0008161103 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let p = -421.1 - -420.9. Which is the biggest value?  (a) -209  (b) 1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -55 greater than or equal to 4670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/4*112\/35. Suppose h = -p + 5*p. Suppose -p*w + w = -3. Let x(k) = 3*k**2 - 7*k + 4. Let f(c) = -c**2 + 3*c - 2. What is w*x(s) + 7*f(s)?\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77)*1 - sqrt(77))\/sqrt(7))**2 - (-1 + sqrt(11) + 5)**2.\nAnswer: -27 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + -3*(sqrt(343) - -1*sqrt(343)) + -3*(0 + sqrt(343)))*1)**2.\nAnswer: 630*sqrt(7) + 27808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.6 + -1.9. Let l = 305 - 446. Let v be (-20)\/63 - (l\/27 - -5). Sort g, 5, v.\nAnswer: g, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 11 - 3. Suppose s = 3*i - 7. Solve -8 = p - i*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3 - 3562*t**2 - 147683*t - 144120.\nAnswer: (t - 3603)*(t + 1)*(t + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 + -8. Solve -2*w - j = -3*j - 16, c = -5*j - 25 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.11 - 0.05. Let o = z - -0.14. What is the second biggest value in o, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2202 - -16416273?\nAnswer: 16414071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 139 divide 30869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0*52911\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -15796 - -4\nAnswer: -15792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 2896?\nAnswer: 14480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0775616273 - -9265.\nAnswer: 9264.9224383727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t**2 + 5*t - 3. Let p be r(-4). Suppose 2*v = p + 3. Let x be 32\/v - (-3)\/(-9). Solve -4*h = h + x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 4  (b) 2\/7  (c) -0.3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x + 3. Let i(z) = 9*z + 7. Let b(t) = 2*i(t) - 5*k(t). Let r be b(-4). Let s(g) = -r*g + 2*g + g. What is s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -62 + 81. Let w = 21 - l. Suppose -316 - 124 = -3*t - 2*a, 0 = a + w. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-67*v + 188*v - 82*v - 108*v + 134*v - 88*v + (-v + 1 - 1)*(0 + 0 - 1))*(-2 + 5 - 1).\nAnswer: -44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*t + 3*k + 29 = 0, 502 = -t + 3*k + 495. Determine g so that 106\/7*g - 36\/7 + 6\/7*g**t = 0.\nAnswer: -18, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 33 - 28 - 230*l.\nAnswer: -230*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 136.97038751 rounded to 0 dps?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2 - 24 = 0. Let g = 39 + w. Calculate the remainder when g is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95451 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 7) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3534 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 908321485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 3409, 2, 20, 3, 15 in decreasing order.\nAnswer: 3409, 20, 15, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.10534 - -0.09466. Sort -1\/33, 0.2, o in increasing order.\nAnswer: -1\/33, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*k - 3723 = -4563 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2472*t**2*w**4 + 75*t**2*w**3 - 20858781*t**2 wrt w.\nAnswer: 9888*t**2*w**3 + 225*t**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -0.674?\nAnswer: 2.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of -y**5\/20 + 7*y**4\/12 - y**3\/3 + 4*y**2 + 3*y. Calculate the remainder when h(6) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 422 - 417. Suppose -2*x = 5*i - 31037, 2344 = -l*i - x + 33385. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together -29.9 and 70.\nAnswer: 40.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4836, -4831, -4832, -4839, -4852, -4871, -4896?\n\"Answer: -3*o**2 + 14*o - 4847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -409.346892 rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 307 + 49 + -292 - (1 + (-1 - -2))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 less than -397775847?\nAnswer: -397776200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5*p - 13 = 0, 1 - 2 = 3*t + p. Let a be t\/5 - (-2)\/(-10). What is the nearest to 0.1 in a, -0.2, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(-2) + 2\/4. Suppose 2*l - 14 = 2*i - 2*l, o = -2*i + 5*l - 19. Suppose -u - u - 1 = b, 0 = -3*u - i. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.5*0.08.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3872736*-0.1.\nAnswer: 387273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-2\/7)*h\/(h\/(h**(-4\/5)\/h)*h)*h*(h**6\/h)\/(h\/h**(4\/7)*h) assuming h is positive.\nAnswer: h**(52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 17634047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16694 + 16766. Calculate the greatest common factor of 207 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 5*d**2 + 2. Let m be o(0). Suppose 0 = -2*p + 4*s + 32, -m*p + 17 = 2*s - 33. Solve -2*f - 4*j = -p, -4*f = 4*j - 7*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (80\/(-30))\/(10\/(-45))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5125247 (base 8) in base 10?\nAnswer: -1354407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -279639 or -239?\nAnswer: -279639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1996\/5 + -402. Is t less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -6, 2, -109, 10, -77, 3 in ascending order.\nAnswer: -109, -77, -6, 2, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 242\/7  (b) -0.15  (c) 4\/9  (d) 0  (e) 45  (f) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -10327 (base 9) to base 11\nAnswer: -5149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 5*r + 4. Let p(x) = 2*x - 5. Let i be p(r). Solve -5*t + 16 = -i*d - 1, -1 = -5*d + t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 4*w - 18 + 16 + 17 = 0, 0 = r + 3*w - 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21328 - 21318. Which is the nearest to -1\/4?  (a) -36  (b) -2  (c) 2\/7  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 79459 = -136*h + 132*h, -3*f = 2*h - 47677. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 4 + -5 + 0 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 94 + -64. Differentiate -j*l**4 + 46 - 1 - 22 with respect to l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3*z = -5, 2*z = -0*u - 5*u + 43. Suppose -u*h + 45 - 31 = 0. Suppose 4*o - 5*s + 16 = -11, 3*s = 9. Sort 0, h, o.\nAnswer: o, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 880*q**2 + 23*q + 118. Is j(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x**(-44)\/x)\/(x*x**0\/x))**(-2\/11))**(3\/11))**24 assuming x is positive.\nAnswer: x**(6480\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11504886 is divided by 894.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 + -0.9. Let q be (-4 - 170\/(-15))*(-2 + -7). Let j = q - -64. Which is the nearest to j?  (a) x  (b) 2  (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 a factor of 76688161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(5\/2)*-10. Let d be 1\/17 + (-7)\/119. Let v = o - d. Solve 4*g + g = -v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1123 + 1104. Put -3, 2\/3, g in decreasing order.\nAnswer: 2\/3, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of -t**7\/70 + t**6\/50 + 3*t**5\/25 - t**4\/5 + 61*t + 86. Let w(p) be the first derivative of u(p). Solve w(x) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -3\/2*u**2 + 1 + u. Suppose -2*a - 6*a = 16. Determine w(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**2 - 916*q - 28 + 1061*q + 7.\nAnswer: -2*q**2 + 145*q - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 26 + 2196\/(-366).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**2 + 230763108*k = 0. What is k?\nAnswer: 0, 115381554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.028089332 and 1.8.\nAnswer: 0.0505607976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**4\/9 + 140*f**3\/9 - 200*f**2\/3.\nAnswer: -4*f**2*(f - 30)*(f - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*o + 311 = 77*o + 1715. Factor -o*x**3 + 30*x**2 + 9*x**4 + 1 - 28\/3*x.\nAnswer: (x - 3)*(3*x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 4*g - 22, 0*g - 4*j - 23 = -5*g. Solve 0 = g*b - 3*u - 6, -6 = -2*b - b - 5*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(236\/413)\/(12\/14)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 - 5. Let c = i - 9. Suppose c = -x + 5 - 0. Solve -3*r - 7 = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 + 20*i + 49. Let g be z(21). Solve -12*x - 8 = g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204 = 3*i - 231 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**18*f**(-5)*f*(f**(-5)\/f)\/f*f**(-16)\/(f**(1\/8)*f*f**(1\/3)) assuming f is positive.\nAnswer: f**(-251\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y - 7 + 2*y - 6 + y. Let m be q(8). Suppose -m = -o - 1. Calculate the lowest common multiple of 34 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.309 - 0.31. Let u = g - -0.00099929. What is u rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 398918797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 + 2*i**2 - i - 2. Let j be (-18)\/10 - 20\/100. Let k be g(j). Suppose -3*m - 2*z + 41 = 2*m, k = 3*m - 3*z - 33. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12 + -51 - -24) + (34 - 1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 4*v = -0*v + 24, -5*g + 9 = 2*v. Suppose 16 = -g*j - 8. What is the common denominator of (-6)\/j + 444\/(-64) and 93\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 130 and 419640.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -0*k + 134. Let a = k - -60. Is ((-6)\/(-12))\/((-1)\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3441 = 1341*f - 39648 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2. Let y(b) = -1467*b**2 + 408*b + 1. Determine y(h(c)).\nAnswer: -1467*c**4 - 408*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 - 2*l**2 + l. Let r be i(2). Solve -5*h + 3*m - 2*m + 14 = 0, -r*h + 3 = -3*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/4 and 7\/166.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 11:33 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2440958612, -2440958611, -2440958610, -2440958609, -2440958608, -2440958607?\n\"Answer: n - 2440958613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -299 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {a: 4, j: 4, n: 6, q: 3}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u = 37*u. Factor u + 2\/3*k**3 + 0*k**2 - 2\/3*k.\nAnswer: 2*k*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 261745937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0*(1 + -1 + 1). Let u be (-1 - (-22)\/10)*1\/3. Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**2 - 12*n + 4. Let r be f(8). Let h = r + -31. Which is the closest to 0?  (a) h  (b) -2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/15, -241, -0.01?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -231347, -230755, -230163, -229571, -228979?\n\"Answer: 592*k - 231939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/144081 and 37\/3.\nAnswer: 144081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 11240181 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 3*x**5 + 231*x**4 + 6438*x**3 + 76038*x**2 + 325335*x + 255507 = 0?\nAnswer: -23, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-80)\/1584*-11 - (-80)\/(-90) - 19\/3?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = o - 36. What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12541874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 9) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.9 + -4. Is 2 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 4) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 599230046.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -17*t**2 - 17*t. Let r(h) = 2*h**2 - h. Give -2*c(b) + 34*r(b).\nAnswer: 102*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 920, 1783, 2632, 3461, 4264, 5035, 5768?\n\"Answer: -o**3 - o**2 + 873*o + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 26*t**2 + 15195410*t - 2337756 = 0. What is t?\nAnswer: -584439, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + (-1)\/(4\/(-20)). Solve -q*j - 2 = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from suuusuvqsuquuqvuuuqq. Give prob of sequence vq.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/5  (b) 0.2  (c) -72  (d) 3\/20  (e) 5\/3  (f) -3\/5  (g) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10.5 - -21.5. Let g = 32.04 - j. Which is the fourth biggest value?  (a) -0.5  (b) g  (c) -1  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 20, 0*s + 25 = t - 4*s. Let z be -1*6*(-4)\/8. Put 4, t, z in decreasing order.\nAnswer: t, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -8. Let m(o) = 3*o**4 - 4*o**2 + 0*o**4 - 5*o**4. Let j(f) = -f**4 - 3*f**2. Let k(l) = d*j(l) + 2*m(l). Find the third derivative of k(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*w + 7*w + 18*w**2 - 736*w**3 - 4*w + 5*w - 2*w wrt w.\nAnswer: -4416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 31 = -3*b - 2*c, 41 = 3*b + 4*c. Suppose -12 = -3*l + 3*k, -3*k = 3*l - b - 23. Solve -l = -5*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -17.94, 0.4, -7, -9\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17556 and 9471.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 374069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 6 + 3 = 0, -5*p = 2*j - 37. Let a(v) = -v**3 + 15*v**2 + 22*v - 26. What is the units digit of a(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -23*l**5\/60 + 29*l**3\/2 + 6*l**2 - 3*l. Find the first derivative of u(b) wrt b.\nAnswer: -46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*n + 102. Suppose -4*r + r + 120 = 0. Calculate the common denominator of (114\/r)\/(n\/20) and -85\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9)\/6*-1 + 9822\/12. What is a rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.45 - -2.51. Sort -2\/19, -0.4, s, 2 in decreasing order.\nAnswer: 2, s, -2\/19, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3823, -7469, -10911, -14149, -17183, -20013, -22639?\n\"Answer: 102*j**2 - 3952*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 1328772?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -34018 + 34021. Let p(t) be the first derivative of -24 + 50\/3*t**m + 0*t**2 - 7*t. What is the derivative of p(i) wrt i?\nAnswer: 100*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.15 + -0.1613. Round t to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 8) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**12*w*w*w**(-2\/45)*w)**9\/((w**7\/(w*w\/(w\/w**(-6\/11))*w))\/((w\/(w**(-3\/2)*w))\/((w\/w**(2\/13))\/w))) assuming w is positive.\nAnswer: w**(186913\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q**2. Let o = 13 + -9. Let n(x) = 8 + 6*x - 5*x - o. Let t(k) = -2*k - 9. Let z(j) = 9*n(j) + 4*t(j). Determine i(z(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v - 14 - 21 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 48*y**3 + 36*y. Let x(j) = -j**3 - j. Calculate a(f) + 36*x(f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1376207862?\nAnswer: 2, 3, 31, 43, 172069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/2580 and -143\/246?\nAnswer: 105780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(19)*-1)**2 - (((sqrt(171))**2 - sqrt(19))*2 - sqrt(19)).\nAnswer: -285 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19 + 11. Let f = y + 10. Solve 0*k - f = -k, -2*g = k - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - b + 0*b)*(-2*b + 0*b + 3*b) + (-4465 - 14986 + 10003)*(-2*b**2 + 0*b**2 + 3*b**2).\nAnswer: -9450*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - (0 - 0)) + 2. Let y be ((-50)\/p)\/(3\/(-6)). Suppose 2*h = -3 + y. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 - 6. Let g be n(7). Let l = g - -7. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -514108901\/1152 - -446275. Find the common denominator of 38\/45 and c.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8028 is divided by 229?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) + sqrt(432) + (sqrt(432) - (-1 + sqrt(432) + 0) - sqrt(432)) - sqrt(432)) + sqrt(432) - (sqrt(432)*2 + -5))**2.\nAnswer: -144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (22*h + 72*h + 125*h)*(1 + 1 + 0) as t*h + i and give t.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 28199\nAnswer: 1\/28199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -226, -218, -196, -154, -86?\n\"Answer: d**3 + d**2 - 2*d - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 0*z - 2*z + 3*z - 5*z. Let b(g) be the third derivative of 0*g - 16*g**2 + 0 - 1\/12*g**4 + 0*g**3. What is s(b(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-684)\/(-108) + (0 - (1 + 6)). Put 4\/9, q, 3, 5 in descending order.\nAnswer: 5, 3, 4\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -81\/14  (b) 2\/19  (c) 2\/15  (d) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/9  (b) -2\/9  (c) -17034  (d) -1\/2  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 - -11. Suppose -b + 79 = -g. Suppose 4*n + 0*n = b. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 AM and 1:40 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8 and -625.\nAnswer: -5000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 5*j - 1144 = -4*y, -1431 = -5*y - 4*j. Let i = y - 3159\/11. Which is the closest to -1?  (a) i  (b) 2  (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from bvbew.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -28*y + 187*y**2 + 74*y - 46*y in the form w*y**2 + l*y + u and give w.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*t = -31*t - 294. Suppose 5*d - 3*d - 50 = -4*z, -4*z + t = d. What is the remainder when 111 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4\/7  (b) 3  (c) -5  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = 16*i - 60, 689*p - 692*p + 7 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x - 23. Let s be m(14). What is the nearest to -1\/3 in -5, s, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 + -2 - 10*(-15)\/10. Solve 0 = -3*x + 19 - b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - 1)\/5 - (-1708)\/(-3965). Which is bigger: p or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 0) + (-6 - (-12 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 3) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131 - j + 93 - 8.\nAnswer: -j + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90 = -23*f - 5*z, -54389*f + 54384*f - 50 = -5*z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3200, -3199, -3200, -3203, -3208, -3215?\n\"Answer: -h**2 + 4*h - 3203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 5:42 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20657.\nAnswer: 7, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1778, -8920, -21516, -39560, -63046, -91968, -126320, -166096?\nAnswer: -211290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3085.99998783 + -3086. What is n rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (788 - 179 + 578 + 792)*(-5*y + y + 10*y) as w*y + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xzlavllvxvv. What is prob of sequence vav?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 2 = -0*z - 2*z, 5*h - 2*z = 0. Suppose -h*u + 302 = -4*r, -3*r - 306 = -u - u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 4*v**2 - v. Let n be (3\/6)\/(1\/2). Let q be z(n). Find the third derivative of r**2 - 12*r**2 - r**3 + 15*r**q wrt r.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 318163556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 16*h - 88. What is the remainder when 279 is divided by r(8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -3 + (8 - 0) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -5, 0.5, -9\/4, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 13*k - 1. Let b(h) = -3*h**3 - 10*h**2 + 45*h - 34. Let x be b(1). Let g(y) = -13*y. Give x*g(z) - 3*u(z).\nAnswer: -13*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 290583\/4482 - ((-5)\/40)\/((-6)\/(-8))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p**2 + p. Let c(w) = -2*w**2 + 2*w - 1. Let b(j) = -5*c(j) + 4*f(j). Suppose 0 = -4*m - 2*i + 22, -3*m + 40 - 13 = 5*i. Determine b(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 137\/(1*(217 + -2)). Let b = 32730\/43 - 761. Let p = q + b. Put p, 0, 5 in decreasing order.\nAnswer: 5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20201200011 - 11?\nAnswer: -20201200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15.4000012392 + -15.4. What is h rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -48*((-10)\/(-8) - 2). Let d be (-59864)\/18 - 8\/b. Is (-8)\/(-36) + d\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -440 + 468. Suppose -2*g + g = 3*k - 11, 0 = -4*g - 16. What is the remainder when b is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h + 5*h + 0*h)*(-3*h**3 - 2*h**3 + 7*h**3) + 3 - 2*h**4 - 3 + (-1 + 2*h + 1)*(7*h**2 + 2*h**2 - 5*h**2)*(59*h - 36*h + 24*h).\nAnswer: 378*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1838626 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94395 is divided by 45820?\nAnswer: 2755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1245054.766 rounded to the nearest one hundred?\nAnswer: 1245100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-188)\/(-6)*(51\/2 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.15 - 0.35. Which is the nearest to -1?  (a) j  (b) -1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -178321.\nAnswer: 1\/178321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 659999413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 202\nAnswer: 40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jtvjhsjhsjlsst. Give prob of picking 1 h, 1 j, and 1 s.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-13\/4)*b)**29\/(b**(-9))**(-8) assuming b is positive.\nAnswer: b**(321\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 3*b - 3. Let f(a) = -10 + 6 + a - 2*a + 0 + 4*a. Give 2*f(n) - 3*o(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 AM and 7:28 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -601 = -c - m, 4*c - 1130 = -5*m + 1279. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**2 + 9*s - 10. Suppose 5*b = -8 - 22. Let o(j) = j**2 + 7*j - 1. Let v be o(b). Is h(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 5\/(50\/42)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 207 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3823542.\nAnswer: 2, 3, 212419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*u + 366 = -29*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/3168 and -101\/1020.\nAnswer: 269280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -40*p - 17. Let o(k) = -3*k + 29. Let x(s) = -2*s + 29. Let d(l) = -5*o(l) + 6*x(l). Let t be d(-12). Is a(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 166\/18 - 2\/9. Let k be 1*l*10\/15. Let i = 16 - k. Calculate the lowest common multiple of 24 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 25 + 63 = 0. Suppose 0 = -5*p - 2 - 23, p = 2*b + 71. Is b at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 134253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002500115574 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 10*c = 5*c - 108, 4*b + c - 62 = 59 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -25 + (-30 - (-20 + 3)) + 17 + -4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 893*i**2 + 54088*i - 288951550 wrt i?\nAnswer: 1786*i + 54088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 17014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 918809 to the power of 1\/2, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = 34 - 2 - 2 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*m**6 + 77*m**3 + 2289*m**2?\nAnswer: 1680*m**3 + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 776, 1495, 2182, 2825, 3412, 3931?\n\"Answer: -2*h**3 - 4*h**2 + 745*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 + 13. Let o(b) be the second derivative of b**4\/12 + 2*b**3\/3 - 7*b**2\/2 - 4*b. Let c be o(q). Solve 0 = -c*k + 5*m - m, -4*k = 2*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (13 + -5)*1\/4. Let h(c) = -3*c + 1. Determine h(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**4 - x**4 - 5*x**4 + (x - 5*x + 3*x)*(x**2 - 4*x**3 - x**2) + (-x**2 + 185*x**3 - 2*x**2 - 187*x**3)*(1 - 1 - 2*x).\nAnswer: 5*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 + 18*y + 206. Let q be i(26). Let r(f) = -3*f**2 - 5*f - 4. Give r(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139444849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 10 + 20 - 7*u + 7. Let i be x(6). Let q = i + 1. Do -38\/7 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 4 - 9 = 0. Let s = -8 - a. Put -1, s, 4 in descending order.\nAnswer: 4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 11:03 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (54\/(-45))\/((-4)\/150). Solve 0 = 5*a + 5*d - g, -d + 19 = a + 2*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - -2 - 3) + 1 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8382 - 13?\nAnswer: -8395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -236859.2 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/7  (b) 0.1  (c) 1\/4  (d) -166  (e) 3  (f) -2\/453\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 10*r**2 + 3*r - 4. Let t(n) = 12*n**2 + 4*n - 2. Give -4*m(p) + 3*t(p).\nAnswer: -4*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-11)\/(-2) + 1\/(-2). What is the biggest value in f, 0.4, 2\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the second derivative of g**7\/7560 - g**6\/1080 + g**5\/360 - 5*g**4\/12 + 2*g. Let f(c) be the third derivative of a(c). Factor f(m).\nAnswer: (m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -5*n + 17643 - 3610, -4*n = 20. Is 11 a factor of (-3)\/18 - a\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of 0*l**2 + 4*l + 1\/12*l**4 + 0*l**3 + 0*l**5 + 0 - 1\/30*l**6. Factor g(v).\nAnswer: -v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 554.56 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -o, 0 = j + 3*o + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9666.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -98, -53, -14, 19?\n\"Answer: -3*s**2 + 54*s - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 98068915*x**2*z**2 - 1191628*x**2 + 4*x*z**2 - 43*x - 1 wrt z.\nAnswer: 196137830*x**2*z + 8*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.26759663 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 81 = 2*w. Suppose -4*g = -4*v - 428, 0*g - 5*v = 4*g - 437. What is the greatest common factor of w and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + 1. What is the closest to 0 in g, -8, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 4*s + 3. Let u(o) = 6*o + 4. Determine 7*q(t) - 5*u(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnns when four letters picked without replacement from ssssssnsnnnsnssnsns.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -36*d**4\/17 + 106558*d**3\/17 - 1690364*d**2\/17 + 1495522*d\/17 + 88320\/17 = 0.\nAnswer: -1\/18, 1, 15, 2944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 896207.3ml?\nAnswer: 896.2073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 82*g**2 - 184*g + 8388. Determine o(83).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 506000 by 1150.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1274153.\nAnswer: 787, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -508 + 517. What is the smallest common multiple of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of t**2\/2 - 3*t - 1. Let y be q(7). Suppose 2*z + 30 = 5*z + 3*w, y = w. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 31?  (a) 0.2  (b) 9\/10  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 11*m + 20. Let g be q(-13). What is the units digit of (-4)\/g - 460\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -36773620 or -36773619?\nAnswer: -36773619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ittijtjjtt. Give prob of sequence jt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 111 + 2494\/(-43) + -85.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3797 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 615325.\nAnswer: 5, 151, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3 - (-2 + 0))*-4. Let a(o) = o**2 + 8*o - 4. Let g be a(6). Suppose 4*w = -b + 2*w + 26, -4*b = -v*w - g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 6315 = h + 6303, 5*h = 5*y - 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-24))\/(3\/(-18))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4114) - sqrt(4114)*-1 - sqrt(4114))\/sqrt(2) + 1 + sqrt(17)*4*6)**2.\nAnswer: 70*sqrt(17) + 20826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 242 + -245. What is the third biggest value in -13, -0.4, -3\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from bbuypuuu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(9\/4))\/(b\/(b*b**1)))**(-4\/3) assuming b is positive.\nAnswer: b**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/4 - 633*j\/2 - 18315\/4.\nAnswer: -3*(j + 15)*(j + 407)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 3*y + 13, y + 17 = -2*y + 2*j. Let x be (2\/5)\/((-1)\/2). What is the smallest value in 0.5, x, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 822 and 54?\nAnswer: 7398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or -83\/18?\nAnswer: -83\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 7:51 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + 4*t**2 - 3*t**2)*(-181 + 181 - 38*t) - 58*t + t**3 + 12*t**2 + 58*t.\nAnswer: -37*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 122\/793 + (-320)\/52 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d - 3*d + 0*d)*(-7*d + d - 17*d)*(1 + 1 - 1) in the form r*d + p*d**2 + a and give p.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1012 + -1000?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 172 + -167. Suppose k*d - 2111 = -466. Does 47 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4883000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 129*a - a**5 + a**3 + a**4 - a**3 + 4*a - 21*a wrt a.\nAnswer: -20*a**3 + 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20*p**3*u**3 - 80*p**3*u**2 + 6*p**3 + 2*p**2*u**2 + 2692778*p*u**3 - 93016*u**2 wrt u.\nAnswer: -120*p**3 + 16156668*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2718, 5469, 8224, 10983?\nAnswer: 13746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 4:52 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of -i**6\/60 + i**5\/12 + i**4\/8 - i**3\/3 - 15*i**2. Let x be w(-3). What is the highest common factor of x and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.10979 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 7:58 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5169.1821785551+4\nAnswer: 5173.1821785551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -1\/5  (b) 4  (c) -6\/125  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + (-3)\/(-9)*0. Suppose -2*s - 1685 = -t*x, 4*x + s - 1715 - 539 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d**2. Suppose 33*z = 31*z + 2. Let v be 3\/z - (1 + -3). Let i(m) = -v*m + 5*m - 14*m. Give l(i(r)).\nAnswer: 392*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -10*b**2 - 4*b - 2. Let v be m(-2). Let a = v + 40. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-3)*177\/(-2655))\/((-56)\/(-6))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*z = -25, -5*z = 3*i - 4*i + 32. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - -2. Suppose a*y = -4*c + 1512, 0*c + 3*y + 761 = 2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of -3*v**4\/4 - 2*v**3 - 430*v**2 + 4*v. Calculate r(5).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 27 + 7 = 0. Let p(q) = 4*q**2 + 2*q - 1. Is p(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + -3. Let b = 0.086 - 0.11. Let w = b - 0.176. What is the third biggest value in -1\/19, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -72 - (79 - 21) - -217\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 148*a**2 + 61*a + 985. What is the hundreds digit of n(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -764813447, -1529626893, -2294440339, -3059253785, -3824067231, -4588880677?\nAnswer: -5353694123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 AM and 8:48 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 - 2*w**3 + (-4 - 2 + 5)*(2*w**3 - 2*w**3 - 5*w**3) - 5*w**3 - 13*w**3 - 93*w**3.\nAnswer: -108*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*c = 3*q - 14, 0 = -4*q + 8. Let i be ((-7)\/2)\/(4\/c). Let k = i - -7. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**2 - 39*l - 98. Let j be g(-3). Which is bigger: 6\/121 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2672530 is divided by 177.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 9 - 9671*f + 31*f - 2*f**2.\nAnswer: -2*f**2 - 9640*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - 4*g - 3*g + 3*g + 2*g - 6*g + (-1 + 1 + 2)*(2*g - 2*g - g) + 4*g + 0*g - 3*g)*(2*g**2 + 3*g - 5*g - 9*g**2).\nAnswer: 56*g**3 + 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 53\/((-10017)\/14385) - -75?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 5 = -9*x. Suppose -j = -2*j - x. Let t be (-1)\/7*(0 + -1). Is t > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5165*a**3 - 2*a + 16097 wrt a.\nAnswer: -15495*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-535446)\/30 - 10)*(-3 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*s**5 - 66*s**2 + 13912*s wrt s.\nAnswer: -140*s**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**4 + 1294*r**3 - 211236*r**2 + 624680*r - 414736 = 0. What is r?\nAnswer: 1, 2, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 + 29*c + 201. Let g be o(-11). Solve 2*k + 7 = g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -63105 - -194062. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 3*k + 73 + 104 = 0, 0 = v - k - 46. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 3:37 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -7, -3, -63, -315 in decreasing order.\nAnswer: -3, -5, -7, -63, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 87*d + 96. Let l(o) = -174*o - 191. Let u(q) = 3*l(q) + 5*s(q). What are the prime factors of u(-9)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.04, -1.2, -4, -0.3, 4\/5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 157 + -118. Let u = -153\/4 + o. What is the fourth smallest value in 1, u, -4\/7, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 734*t**4 - 9569*t**3 + 633497*t**2 - 10*t.\nAnswer: 17616*t - 57414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b - 4*b + 3*b + 6*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 384 divide 184704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 230 and 5520?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1539)*-1)**2 - -6*sqrt(475)*-1.\nAnswer: -12*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 1 = -4, 0 = -5*u - 2*c + 313809. Suppose -b = u - 482763. What is b rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 17*l**3 + 21 - 16*l**3 + 12*l**2 - 7 + 16*l. List the prime factors of z(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from vmvomvommmojmo.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1621\/4 - -405. Let h = -330.02 - -335. Let k = h + 0.02. What is the smallest value in j, 4, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -2, 5*w + 40 = -3*l + 3*w. Let o = -10 - l. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 85 + -46. What is the remainder when 75 is divided by h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/3)\/(q\/q**(1\/6))*q**(-2\/21)*q*q*q**(2\/7)*(q\/(q\/q**(-5\/3)*q))\/q**(-3\/11)*(q*q**0)**(3\/2) assuming q is positive.\nAnswer: q**(10\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11770256 a multiple of 397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of f**5\/20 - 5*f**4\/6 - 23*f**3\/6 - 6*f**2 - 2*f - 26. Let u be k(10). Is u at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(77))\/sqrt(7)*3)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153767.\nAnswer: 19, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aapz when four letters picked without replacement from {a: 6, p: 7, z: 1}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2.3*-3.6\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -916 - -913. Let p = 21.27 + -21. Let f = 0.07 - p. Which is the closest to f?  (a) 3  (b) -5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/(-10))\/(2\/(-4)). Let y(m) = m**3 + 6*m**2 + 7*m + 11. Let z be y(-5). Which is the third smallest value?  (a) i  (b) z  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20510214, 20510216, 20510218, 20510220?\nAnswer: 20510222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a - 41*a = -23*a - 290 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-223)\/((-7)\/2*1\/7) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + s. Let f(c) = -8*c**2 - 5*c + 15. Let m(o) = -f(o) - 5*z(o). Let i(r) be the first derivative of m(r). Let q(x) = 4*x**2. Determine q(i(n)).\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6088.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 2 + 23. Suppose -3*r + 3*q = 0, 0*q = -c*r - 4*q + 45. Let g = 5 - r. Solve g = 2*h - 3*u + 12, 3*u - 5 = 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 37*d - 261044 + 261044 + (2 - 7 + 3)*(0 + 0 + d) as b + v*d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -275 + -6?\nAnswer: -27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 204\/(-612)*3\/(-10)*(-30)\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-4 - (-5 - (-8)\/(-20))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 2*q + 14 = 3*q, -16 = 4*q. Let i(u) = u**2 - 6*u + 9. Let a be i(j). Solve -4*f - a = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-3)\/33*1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -339234, -339227, -339206, -339165, -339098, -338999, -338862?\n\"Answer: f**3 + f**2 - 3*f - 339233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -28\/10187 and -50\/1503.\nAnswer: 91683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/41530732 and 67\/30153.\nAnswer: 124592196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-24)\/(-84) - (-2006)\/(-14). Let k = 209 + w. Let s = 95 - k. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*p - 3*x = -27*p + 123, 0 = -5*p - 3*x + 147. Solve 289*d = 283*d + p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -330431720 to the nearest 100000.\nAnswer: -330400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3\/9 + 584*f**2\/9 - 3380*f\/9 + 2800\/9.\nAnswer: -4*(f - 140)*(f - 5)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + -2 + -6 + (-4 - 10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 29 = 7. What is the remainder when p is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p - 8. Let c(g) = g**3 + g**2 - 4*g - 6. Let y be c(-2). Let r be h(y). Let v(l) = -42*l**3 - 6*l**2 - 3*l + 5. Is v(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -538*y**2 - 1 + 1041*y**2 - 521*y**2 + 3*y + 0 - y**4 as m*y + a*y**3 + b*y**4 + x*y**2 + g and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/69854135 and -33\/166575245?\nAnswer: 2165478185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35.72214 months to centuries.\nAnswer: 0.02976845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002714 to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 6. Let j(o) be the third derivative of -o**5\/60 + o**4\/2 - 31*o**3\/6 - 9*o**2. Let y be j(5). Solve n*l = -w - 11, 6 = -y*w - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 8:06 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((sqrt(200) + -6*(sqrt(200) - (-1*sqrt(200) - sqrt(200)) - sqrt(200)))\/((sqrt(10) - sqrt(40))*-6) + 4)*3)**2 + -3.\nAnswer: -264*sqrt(5) + 741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - 7*b**2 + 13*b - 10. Let x = -25 + 31. What is the units digit of u(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 625 - 1858 + 621 + 617 - 648*t to the form k + w*t and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -360, -427, -496, -567, -640, -715?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-8)\/(1*-2) + -2. Let f = -15 - 5. Let u = 20.03 + f. Put u, c, -0.4 in descending order.\nAnswer: c, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k**3 - 3*k**2 - 3*k. Let v(h) = -h**2 - h - 1. Let b(g) = g**2 - 2*g - 5. Let j be b(4). Suppose -j*z + 0 = -3. What is z*y(i) - 3*v(i)?\nAnswer: -2*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**18*w*w\/w**8)\/((w\/w**5)\/((w*(w\/((w*w\/(w*w*w*w**(-2\/39)))\/w))\/w)\/w*w*w)) assuming w is positive.\nAnswer: w**(817\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 5*i**2 + 9*i + 35. Let q(r) = -18*r**2 - 27*r - 103. Let p(m) = 7*k(m) + 2*q(m). Let f be p(-3). Solve f*x = 2*t - 0*x + 13, 0 = -t - 5*x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1068317 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 1 - 3)*(3*b + b**3 - 3*b) - 4*b**2 + 2*b**2 - 4*b**3 - 8 + 10)*(10 - 6 + 0) to the form g + u*b + p*b**2 + h*b**3 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/923 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccccc. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 64*o**2 + 0 + 2.\nAnswer: 64*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 442687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 336 = 2*b, 3*b + 2*x = 3*x + 484. Is 27 a factor of (2 + b)\/((-3)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qllq when four letters picked without replacement from {w: 1, l: 8, q: 11}?\nAnswer: 154\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6837266734?\nAnswer: 2, 569, 6008143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 14 - 3*w + 4 in the form s*w + b and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(100\/18))\/(2*(-2)\/20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -1 - 9*w + 1. Calculate the smallest common multiple of f(-1) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {c: 6, b: 1, f: 7}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28348\/501 - -14\/167. Let t = q - 55. Factor -5*p**2 - t - 5*p - 5\/3*p**3.\nAnswer: -5*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-1))\/(((-25)\/5)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 10:15 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -29*(-49)\/9947*1*7\/1. Let k(i) = 2*i**2 - 2*i - 13. Let z(u) = -u**2 + u + 1. Calculate g*k(s) + 3*z(s).\nAnswer: -s**2 + s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, 1688, 0.224, -12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i - 16. Let f(u) = 28*u + 42. Let q(s) = -22*s - 40. Let n(c) = -4*f(c) - 5*q(c). Give 7*h(l) + 4*n(l).\nAnswer: -l + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4 and 96.034?\nAnswer: 100.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18120 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of h**6\/24 + h**5\/15 + h**2\/2 - 6*h. Let z(y) be the first derivative of t(y). What is the third derivative of z(l) wrt l?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-1\/2))\/o)**(28\/3)\/((o*o\/o**(-2\/29))\/o**(-1\/5)) assuming o is positive.\nAnswer: o**(1043\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1778 + -718. List the prime factors of b.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (291 + 183 - 104)*(z + 3*z - 3*z).\nAnswer: 370*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -6*o + 1272 + 0*o**2 - 1285 + 2*o**2. Let c be m(7). Suppose -d + c = -46. What are the prime factors of d?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 765540.33 rounded to the nearest 1000?\nAnswer: 766000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 162 - 164. Let m be 1\/9 - (i - (-114)\/54). Factor m*v - 1\/5*v**4 - 1\/5*v**3 + 0*v**2 + 0.\nAnswer: -v**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 30496?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*f - 25*f + 6. Let b(d) = -4*d**2 + 0*d**3 + 6*d**2 + d - d**3 - 1. Let z be b(f). Is -1\/11 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210 + 342 = 44*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1287 - -1066. Let g = 114 - 72. Suppose -g = -5*o + x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 542\/13*v - 2\/13*v**2 - 1608\/13 = 0. Calculate v.\nAnswer: 3, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 6*g**2 - 1892*g - 7551. Give s(-4).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1093140579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1132506 and 25619.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/49  (b) -5  (c) -1  (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 6*x + 9. Let u be g(7). Let c be u - -13 - (0 + 0). Solve 0 = f + f + b - c, b - 25 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**2 + w + 1. Let b(g) = 28*g**2 + 19 + 29*g - 23*g + 54*g**2. Let f(n) = b(n) - 6*x(n). What is the derivative of f(i) wrt i?\nAnswer: 140*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-84)\/(-3654)*377)\/(3\/9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*(x\/((x*x**(-5\/2))\/x)*x)\/x)\/x*x\/(x*x**(-1)*x) assuming x is positive.\nAnswer: x**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 116 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 272*r + 7401 + 9850 = 2019 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1154158 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lldllqdgqlggdllll. What is prob of picking 3 g and 1 d?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 203.70089 - 203.7. What is o rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 337634*y**2 - 3*y**3 - 337634*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 5:45 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - 0. Let a(l) = l**2 - 5*l - 4. Let o be a(6). Differentiate t*w + o + 0*w + 2*w**2 with respect to w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*k**2 - 12*k + 4*k + 5*k to n + j*k**2 + w*k and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 240 - 247.66. Let x = 2.66 + r. Let k = -2 - -1. Which is the second biggest value?  (a) 3  (b) k  (c) 6  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 60, 79, 78, 57, 16, -45, -126?\n\"Answer: -10*s**2 + 49*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1780 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*u = -521631 + 124767. List the prime factors of u.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from fpe.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(-18)\/((-99)\/11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - 2*a - 19. Let j be w(0). Let u be (j*105 + -2)\/(-58). Let x = u + -69\/2. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 - 0)\/((-6)\/(-8)). Let b = -31 + 16. Let s = 20 + b. Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 4, 0.5, 0.13, 3, 5, 0.1677?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 4*c = -2*i, c - 4*i = 15. Sort -12, 3, c, 5, -1 in descending order.\nAnswer: 5, 3, -1, c, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 185\/56778 + 1032271753\/2782122. Let y = -371 + p. Which is the second biggest value?  (a) 0.5  (b) y  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110101010 - -1110110000?\nAnswer: 10101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p - 8. Let o be f(-9). Let r(g) = 2 - 2*g - 5 - o + 3. Determine r(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2*n - 1239 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 214 - 212. Let o(k) = k**2 + 3*k - 8. Let s(a) = -a**2 - 2*a + 7. Let q(u) = m*o(u) + 3*s(u). What is q(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3\/5  (b) -9  (c) -2\/15  (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/(-294)*(-7)\/2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 1. Suppose 3*v - 2 = 2*v. Let z(l) = 5 - 1 - v*l - 2 - 5. Calculate 2*c(w) + z(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 135214007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*t - w - 16436 + 16438, 3*t + 2*w = 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 60*x + 34*x - 41*x + 159 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-2)*4\/18. Which is the nearest to 0.1?  (a) -4  (b) -1\/6  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.293 times -5\nAnswer: 1.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2199*u - 2197*u - 5*y - 52 = 0, -5*u + 2*y = -88 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*q - 2*i - 308, q - 59 = -4*i. What is the common denominator of (-2)\/(-5) + (-1130)\/q and 45\/(-7) - (-8)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2 + 0 - (1 - 14) is divided by ((-6)\/(-12) + (-44)\/(-8))*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 346 divide 16912508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 150 - 126.8. Let z = 23 - f. Which is the third biggest value?  (a) -4  (b) -3\/2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 23 = -5*r, 0 = -4*k + 1 - 13. Let f = -17.037 - -0.037. Let a = f - -16. Put 5, r, a in decreasing order.\nAnswer: 5, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 17514, 33738, 49962, 66186?\n\"Answer: 16224*w + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 42*q - 11. Let i be j(-7). Let l = 444 + i. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a + 1. Let f be g(-3). Suppose c + 3*c - f = q, 12 = -3*q + 5*c. Let j(b) = 3*b + 1. Give j(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -75*y**3 - y**2 + 1. Let s be i(-1). Suppose -4*n + 132 = -4*m, -68*m = -2*n - 69*m + 63. Let v = s - n. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**3 + 7 + 17 - 10 + (-5*s**2 + 0 + 0)*(0 + s + 0).\nAnswer: -6*s**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 538744093 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 732 - 27821\/38. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9745740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 384\/192959 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 201 and 11993?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1180783819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 12) in base 2?\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 - 1)*(-k + 3*k + 0*k)*(56 - 31 - 6)*(4*k - 6*k - 2*k).\nAnswer: -152*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 5:09 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-92)\/(-28) - (-4)\/(-14). Suppose -s = 2, -f + 0*f + 2*s = -p. Let r = -16\/9 - -22\/9. Which is the closest to -1\/3?  (a) 0.4  (b) f  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*((-2)\/16 + 24\/((-384)\/10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 + -30. Suppose -2*g = -s*y + 6, -3*y + 9 = -0. Let u(v) = 18*v + 5. Is u(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 AM and 1:03 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 13*j - 3 + 3. Let d(v) be the first derivative of v**2 + 100. Determine r(d(z)).\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and 624050.\nAnswer: 624050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8381, 16715, 25059, 33419, 41801, 50211, 58655?\nAnswer: 67139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*d + 20*d - 7*d - 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -41*i**2 + 153*i**2 + 99*i**2 - 6*i**2 in the form l*i**2 + a + d*i and give l.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 132466327.\nAnswer: 7, 37, 511453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 38*v**3 + 8*v**2 - 8*v - 3. Let a(h) = -25*h**3 - 5*h**2 + 5*h + 2. Give -8*a(d) - 5*j(d).\nAnswer: 10*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, y: 12}. What is prob of sequence yuy?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 n, and 1 o when three letters picked without replacement from {l: 3, c: 7, n: 1, b: 1, o: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-403*23\/299)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -412*n + 62210. Give i(151).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.27238 minutes in microseconds?\nAnswer: 3256342800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 440*k - 19 = -439*k, 0 = w - 3*k - 17 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from lennllmleeenll.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 28754967 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v**2 - 2*v**2 + 140*v**3 + 65*v**3.\nAnswer: 205*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*u - 5*u - 22533*u**3 + 22532*u**3.\nAnswer: -u**3 - 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75262.\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l**2 - 4869 + 4869.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 2*n + 175 = -9, 3*n = -2*l - 88. Let g = l + 191\/4. Which is the closest to 2?  (a) -4  (b) -0.2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 297*j**3 + 5*j - 4*j + 74 - 72 + 18*j**2 - 513*j**3 as a*j + z*j**3 + d*j**2 + c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/2  (b) -3  (c) 1\/200\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of w**4\/12 - w**3\/6 - w**2\/2 + 8*w. Let h(p) = -p**2 + p + 2. Let v(q) = -3*h(q) - 6*x(q). Determine l so that v(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 70 or 141\/2?\nAnswer: 141\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**2\/4 - 95*y\/4.\nAnswer: 5*y*(y - 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 27810 * 0.4\nAnswer: 11124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5451\/4 - -1362. Put 1\/2, k, -12584 in increasing order.\nAnswer: -12584, k, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 162\/(-891) + ((-168)\/(-22))\/(-2). Let q be 8 - 3*(-3 - c). Solve -4*w + 13 + 9 = q*z, -w = z - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175637638?\nAnswer: 2, 11, 7983529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -40  (b) -1\/5  (c) 639  (d) 2\/9  (e) 11\/4  (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21121230 - -2103?\nAnswer: 21123333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 8:51 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1120 + -524. Suppose -4*o + 35 = 5*h, -4*h + 9*o = 4*o + 13. Suppose h*n - 4*n = 0, 4*m - u = -5*n. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3855364 + -0.119?\nAnswer: -3855364.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of -u**4\/12 - u**2\/2 + 9*u - 96. Let q(m) = -m**3 + m**2 + 1. Calculate -f(d) - 2*q(d).\nAnswer: 2*d**3 - d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3215377 to 3 decimal places.\nAnswer: 0.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 20 - y**3 - 16*y + 14*y + 0*y**2 - 3*y**2 - 3*y**2. Let t be p(-5). Solve 2*d + c = 5, c - t*c = d + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (12\/(-10))\/((-51)\/2125 + -3 - -3). Solve q + 135 = 37*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.2 + -0.1. Let k = 6 + -9. Suppose -9 = 3*w + 2*r + 10, 0 = -4*w + 4*r - 12. Which is the closest to 1?  (a) u  (b) k  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-13) + 1188\/117. Suppose -4*t - c = 2. Let u(h) = -5*h**2 - 2*h + 5. Let d(o) = 2*o**2 + o - 2. Give t*u(i) - 7*d(i).\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**3 + 2158*b**2 - 2158*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4828 and 1420.\nAnswer: 24140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + 8\/(-2)*268\/(-16). What is the highest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 134294 and 146429.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ypbr when four letters picked without replacement from rkpyb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 5 + 5)*(-4 - 7 + 10)*(-31 - 10*y + 31).\nAnswer: 110*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1765 + 1875 = 10*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2. Let z(j) = -j + 23. Let m(w) = -2*w + 68. Let q(u) = -6*m(u) + 17*z(u). Let t(d) = d + 3. Let h(y) = -6*q(y) - 34*t(y). Give h(r(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121000 + -1101?\nAnswer: 112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173823553?\nAnswer: 3727, 46639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of -d**6\/165 - d**5\/5 - 28*d**4\/11 - 490*d**3\/33 - 343*d**2\/11 + 4*d. Find n such that s(n) = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13357927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4446742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 5 - (-5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 33 + -39. Let c(d) = -2*d**2 - 12*d + 2. Let z be c(r). Suppose 5*w - 40 = -z*v, -4*v - 2*w + 80 = -w. Solve t = 5*t - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -521*p - 266*p - 1792*p in the form d*p + k and give d.\nAnswer: -2579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 891, 873, 855, 837?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37353652?\nAnswer: 2, 7, 83, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*d - 26 + 26 + (-4 + 0 + 2)*(0*d + 5*d - 6*d))*(0*d + 3*d - 4*d) to i*d + l + t*d**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*r - 4 = 32 + 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 6  (b) 0.4  (c) 1  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 456 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 26687770 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 9:38 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4\/7, 4, 0.2, -39.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -102, 1428, 4, -3.\nAnswer: -102, -3, 4, 1428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7.5 - 6.854. Let g = 0.144 + k. What is g rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271*a + 3641 = 9827 + 4925 for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 29.7 and -0.2.\nAnswer: -5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -180513030 rounded to the nearest 100000?\nAnswer: -180500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 + 41*j**2 + 88*j - 73. Give u(43).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from mememepepep?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37 (base 13) to base 4.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22995081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1301898045 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 29547.88ng in kilograms?\nAnswer: 0.00000002954788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 124*o**2 + 8*o + 8. What is the hundreds digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (724000*19)\/(((-216)\/16)\/27). What is j rounded to the nearest 100000?\nAnswer: -27500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13361 = -5*l - 2*y, -5*y + 1648 - 6975 = -2*l. What are the prime factors of l?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - (8 + -12)) + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**5 - 42*c**4 + 171*c**3 - 120*c**2 - 336*c.\nAnswer: 3*c*(c - 7)*(c - 4)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2478338, 2478384, 2478462, 2478572, 2478714, 2478888, 2479094?\nAnswer: 2479332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.12  (b) -19\/29  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjnawjntjjtj. What is prob of picking 2 n and 1 t?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.16  (b) -3\/8  (c) -1  (d) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 30*p - 1298. Give z(43).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1568 + -1570. Sort -347, i, 2.\nAnswer: -347, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*f**2\/7 + 157170*f\/7 - 2058534075\/7 = 0. Calculate f.\nAnswer: 26195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 109*s - 10975. What is z(91)?\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of -91*l**4\/24 - 7*l**3\/2 - 31*l**2 - l. What is the units digit of g(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*v**2\/9 - 226*v\/9 + 460\/9 = 0. Calculate v.\nAnswer: -115, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 + 5*d**2 - 4*d - 4. What is m(-7)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 24*k - 132*k - 174*k + 2256 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/6338 and -93\/3884.\nAnswer: 12308396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q**4*q)\/q*q)**(-6\/29)*(q**(4\/3))**9 assuming q is positive.\nAnswer: q**(312\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -13 + 8 - u - 6*u. Let k(s) = -10*s - 7. Let x(m) = m**2 + 3*m + 1. Let f be x(1). What is f*k(p) - 7*n(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10260 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*d = -122847 + 122147 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4143615238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 5 - 1)*(0*y + y - 3*y) - 5*y + 3*y + 3*y + (-5*y + 3*y + 0*y)*(-3 + 2 - 1))*(y**2 - 2*y**2 + 0*y**2).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.04?  (a) -0.4  (b) -0.5  (c) -177.192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -110 - -104. Let l = c + 70. Let v = -84 + l. Is -20 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -368 - -364. Let x = -2\/33 - 19\/231. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 605 and 1573.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 421.029 and -1081848389?\nAnswer: 1081848810.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -4*b + 84, -3*b - 21 = i - 68. Suppose 11076 = i*r - 28*r. Is r\/15 + (-8)\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 248 and 342178.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 739*k**4 + 5*k - 383*k**4 - 354*k**4 + 2*k**2 - 3*k**3 + 1 to p*k**2 + z*k**4 + v + j*k**3 + a*k and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i - 4. Let y be d(7). Suppose y*v - 2 = -q + v, -v + 1 = 0. Suppose 4*m + 3*o - 20 = -q*m, 2*o - 8 = -2*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -88697 at least as big as -88697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 6*y - 10 = 0. Let g be (-3)\/(-1) - (y - -1). Suppose 2*r + 3*r - 130 = g. What is the remainder when r is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 300 = -4*b, 5*b - b + w = 276. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 87889346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1199065, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 203*j + 1. Let r be a(2). Suppose -17 - r = -2*o. Suppose 4*c + 28 - o = 0. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18412824?\nAnswer: 2, 3, 19, 149, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*f**4 + 5763707*f**3 - 957269735*f?\nAnswer: 108*f**2 + 34582242*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -387*z - 1543. Let r be u(-4). Let l(k) = -22*k**2 + 5*k - 5. Let a(j) = -595*j**2 + 136*j - 136. Calculate r*a(x) - 136*l(x).\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13061 - 13025. Solve 9*i + 9*i + y = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cddddddddddddddddd. Give prob of picking 1 c and 3 d.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 32 = -2*t, 4*y + 0*t = t + 55. Let i be ((-6)\/4)\/((-3)\/6). Let l = i + y. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (28\/42)\/(16\/168)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y + 846393 - 2751081 = 0. Is y\/42 + (-6)\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (3 - (0 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 u when four letters picked without replacement from uuggguuguu.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11\/(-1))\/((-6)\/27*99\/(-66))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 + 11*y**2 + 19*y + 6. Let h be x(-9). Let a be (39\/(-9) - -1)*h. Solve 3*z - 4 = -1, 5*n = 5*z - a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d = -m - 21 + 33, -4*m + d + 2 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 158133, 158132, 158131?\nAnswer: 158130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1243 or -458?\nAnswer: -458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n + 1. Let l(j) = 3*j + 4. Give 4*g(h) + l(h).\nAnswer: -h + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-4))\/((-2)\/(-36)). Suppose -i*y + 21 = -12*y. Let o = y + 19. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/5 in -23, -1\/5, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6687 + -45447719.\nAnswer: -45441032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 760410300 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, m: 4, h: 3, q: 1, k: 3, c: 2}. Give prob of sequence hd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 684 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sfqqf. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -17. Let f be 30\/165 - 97899998\/g. Round f to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, -4, 2, 5, -1, -40839 in descending order.\nAnswer: 5, 4, 2, -1, -3, -4, -40839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 6, -2, -5 in ascending order.\nAnswer: -22, -5, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5156 - 443453\/86. Find the common denominator of y and -75\/14.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-8))\/(g*(g*g\/(g**(-2\/21)\/g)*g*g)\/g)*(g*g**2)\/g**(-10))**(1\/33) assuming g is positive.\nAnswer: g**(355\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*n**3*q + 1801*n**2*q + 648*n + 3*q wrt n.\nAnswer: -18*n*q + 3602*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05571363 times 0.5?\nAnswer: -0.027856815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - 12*q + 2. What is m(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 365247.72*-1.\nAnswer: -365247.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h - h + 3*h + 3. Let y be q(0). Suppose y*d - 6*d = -6. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -31\/39, 87, -10, 15\/8?\nAnswer: -31\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of 0*b + 0 + 0*b**3 + 13\/24*b**4 - 14*b**2. Let r(p) = p. Calculate r(f(z)).\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 50532*z**4 - 555*z**2 - 20.\nAnswer: 1212768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.195478 minutes in microseconds?\nAnswer: 311728680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 7:20 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from miiieeeiimiyymmmi. Give prob of picking 3 i.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31 + 35. Suppose -5*o + 2*t - 7 + 6 = 0, -3*o = -4*t + 9. Sort 2, g, -2, o in decreasing order.\nAnswer: g, 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 172\/3 - 58. What is the nearest to -1 in 0.4, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191869.53 rounded to the nearest 100?\nAnswer: 191900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -14592193, -14592157, -14592119, -14592079, -14592037, -14591993?\n\"Answer: f**2 + 33*f - 14592227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/3 + 96368*r**2\/3 + 1542400*r\/3.\nAnswer: -2*r*(r - 48200)*(r + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -563 (base 7) to base 9\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 519219823.\nAnswer: 519219823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-3)*(-6)\/((-18)\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-4\/27)*x**16)\/((x*x*x*x**29*x*x*x*x)\/(x*x\/(x\/(x**(1\/27)*x*x)))))**(-43) assuming x is positive.\nAnswer: x**(6622\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -315*r + 7892 - 23657 = -1366*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -45 > -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 - 8*x**2 - 2. Let y be b(9). Let t = -44 + y. 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: What is -0.0066384263 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/29))**(-40)*(f\/f**4*f)**(-3\/8) assuming f is positive.\nAnswer: f**(407\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1125\/17 - -66. Which is the second smallest value?  (a) r  (b) -1  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 249790, 499797, 749790, 999763, 1249710?\nAnswer: 1499625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4464625 + -21?\nAnswer: 4464604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3 and -5219?\nAnswer: 5219.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -211c9 (base 15) to base 7\nAnswer: -615144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 4*p - 12 = 0, p = -4 - 1. Suppose 0 = -c - 2*s - 31, -139 - 21 = x*c - 4*s. Let q = c - -65. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24704 is divided by 24021?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.35 + 0.05. Let m be 85\/(-100) - (-3)\/5. Which is smaller: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c**5\/3 + 902*c**4\/3 - 49712*c**3\/3 - 128138*c**2\/3 - 34504*c - 8664 = 0 for c.\nAnswer: -1, -1\/2, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**3 + 8*w**2 - 11*w + 13. Let s be g(-6). Let r = s + -804. Which is the nearest to 0?  (a) -0.2  (b) -6  (c) 0  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of -k**4\/90 + 2*k**3\/15 - k**2\/3 + 3*k + 7. Solve q(p) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -79, -65, -33, 23, 109, 231, 395, 607?\n\"Answer: k**3 + 3*k**2 - 2*k - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5864 in -4, 2, -169\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 49\/4 of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 5. Let h be (-36)\/(i + 5 + -3). Let v = -1 - h. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7928 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, -33, -145, -353, -687, -1177?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5 - -4 - -2)*78. What is the greatest common factor of z and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3 + 1. Let i = -78 - -80. Factor -i*u**3 + 0*u**4 - 12*u**2 + 9*u**4 - 12*u**y + 12*u + 5*u**3.\nAnswer: 3*u*(u - 1)*(u + 2)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (16\/6)\/(-2)*(-4 - 5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -538.9806 rounded to 1 dp?\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4869637 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l = b + 11*l + 9, 4*b + 5*l - 42 = 0. What is the closest to 0.01 in b, -4, 16?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5962 and 88189904.\nAnswer: 88189904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 - -1)*(12 + -3 + -8). Solve -16 = 5*z - 3*b, -5*z = -5*b - v + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -23*i - 2. Give v(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-6)\/945)\/(1\/366*16) and -53\/77?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 162225099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 51 + -47. Suppose -2*r = 5*s - 5, 0*r - 8 = -r + 3*s. Solve -o*x - h + 20 = r, -5*h = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-128)\/704 - (102\/165 + 0). Suppose -3*s - 9 = -21. Which is the third smallest value?  (a) s  (b) -4  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -641\/12 or -52?\nAnswer: -641\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y - 3 = -33. Let t(j) be the second derivative of 0 - 4\/3*j**3 + y*j + 1\/2*j**2. Determine t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/(-7)*(-1120)\/(-240)*(-6)\/18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 412777727?\nAnswer: 53, 7788259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 1279.5723 and 1.578.\nAnswer: 1281.1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/30216888 and 149\/5064?\nAnswer: 30216888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 8*p - 30. Let s be 124\/44 + (3 - p). Sort -2, -0.4, s in increasing order.\nAnswer: -2, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)\/(sqrt(4) + sqrt(36)))**2 - (sqrt(176) + 1).\nAnswer: -4*sqrt(11) - 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -40*(28\/(-12))\/(4\/6). Find the third derivative of -3*a**6 - 72*a**3 - 5*a**6 + 34*a**3 - 19*a**2 + 36*a**3 + n*a**2 wrt a.\nAnswer: -960*a**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*v**4 - 79*v**2 - 1075 wrt v?\nAnswer: 20*v**3 - 158*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/14)*q**(-2\/5)*q**(-1)\/(q**(-2\/5)\/q) assuming q is positive.\nAnswer: q**(-1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/23 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + 9. Suppose 4*q = 5*o - 15 + 166, 153 = -5*o + 2*q. Let k = -20 - o. Calculate the least common multiple of k and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 4029*v - 27. Let y(s) = 3*s + 4. Determine 2*u(m) + 14*y(m).\nAnswer: 8100*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*j = 5, -j - 14 = 2*k - 6*j. Solve -k*d = 5*u, 3*u - 2 - 7 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 4, -1715, 31?\nAnswer: -1715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(130) + sqrt(130) + (sqrt(130) - 2*sqrt(130)*-4))\/((sqrt(10) - (sqrt(10) + sqrt(490)))*-4).\nAnswer: -33*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 1974*z**2 + 9*z - 10. Is h(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -cb6d6 - 2d4?\nAnswer: -cb9ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (102\/3)\/(16 - -2). Let l(s) be the second derivative of -s**2 + 5*s - 16\/9*s**3 - 6\/5*s**5 - 4\/63*s**7 - 19\/45*s**6 - p*s**4 + 0. Factor l(m).\nAnswer: -2*(m + 1)**4*(4*m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 114\/24 + 1\/4. Let q(g) = -23*g + 2. Let b be q(4). Let r be (-4)\/14 + b\/(-21). Solve -4*t = 0, 0 = -i*h + h - 5*t - r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(2 + sqrt(2))*-1)**2 - sqrt(18)\/(sqrt(9)*3*-5).\nAnswer: 1501*sqrt(2)\/15 + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 361039*y. Let l(q) = 1651*q. Calculate l(v(z)).\nAnswer: 596075389*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 112095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2*o**2\/17 - 24*o\/17 - 72\/17 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -480088, -42, -4 in descending order.\nAnswer: -4, -42, -480088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4 - 14*a**3 - 49*a**2.\nAnswer: -a**2*(a + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**2\/17 + 417396*o\/17 + 13354624\/17 = 0.\nAnswer: -208666, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 168 = 378*a - 390*a, -3*a = 5*g + 42 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 6:46 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**2 + 4004*j - 4008 = 0. Calculate j.\nAnswer: -1002, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 155836 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256*z - 72*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of w**4\/12 + 14*w**2 + 7*w. Let k(u) = u**2. Calculate x(k(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 50*s + s**2 + 4 - 48*s - 3. Let p be w(-1). Factor -14\/11*o**3 - 4\/11*o**2 + 0 - 10\/11*o**4 + p*o.\nAnswer: -2*o**2*(o + 1)*(5*o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 - d. Let j(s) be the third derivative of 0 + 3*s**2 - 1\/8*s**4 + 0*s + 1\/15*s**5 + 0*s**3. Let z be (1 - 0) + (-1 - -1). Give z*j(y) - 3*b(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from gyyyyyyyyyyyyyy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.19*-0.24\nAnswer: -0.0456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 477649746 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 52.9 or -1899?\nAnswer: 52.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 3*g**3 - 252*g**2 - 3*g + 252 = 0.\nAnswer: -1, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173 = 5*u - 4*c, -3*u - 5*c + 39 = -50. Let j = u + -33. Solve -2*w + 0*w + 2*d = j, w = -3*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a11 (base 11) in base 14?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 60 is divided by -204*(-6)\/60 + (-4)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/53, -0.14, -1691564 in descending order.\nAnswer: 2\/53, -0.14, -1691564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.622 - -0.322. What is the closest to -0.05 in r, 1\/8, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1163.63 or -1\/3?\nAnswer: -1163.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/2 + 121*y\/2 - 123.\nAnswer: (y - 2)*(y + 123)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -220817873 rounded to the nearest one hundred thousand?\nAnswer: -220800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10642851, 10642839, 10642829, 10642821, 10642815?\nAnswer: 10642811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of 1\/60*q**5 + 6*q - 226981\/6*q**2 - 61\/12*q**4 - 16 + 3721\/6*q**3. Factor h(v).\nAnswer: (v - 61)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -r - 5*s + 29, 5*r - s - 31 = 0. Suppose r*v + 2*w + 51703 = 10*v, 2*v = -2*w + 34482. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1*-1*sqrt(112) + -4*(sqrt(112) + -1)))**2 + (-5*(sqrt(112)*-4 + sqrt(112) + sqrt(112))**2 - (-1 + sqrt(112) + -1 + sqrt(112))).\nAnswer: -5768*sqrt(7) + 99138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 761 divide 24078801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 6 + 25*m)*(m + 2*m - 5*m) - 1 - 2*m**2 + 1 + 13*m**2 + 13*m**2 + 3*m**2 + (-1 - 2*m + m + 2)*(2*m + 3 - 3).\nAnswer: -25*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - a = 6, -p - 2*a + 12 = -1. Let w(q) = 14*q + 23*q - 42*q - 3 + q**2. Calculate w(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 3*z + 11 = 0, -368 + 351 = y + 4*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 3*d - 22. What is the third biggest value in d, 0.1, -5.2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*b + 13. Let a be 0\/(-3 - (-3 - b)). Suppose s - 43 - 11 = a. What is s rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 295862355.\nAnswer: 3, 5, 41, 53453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 136046233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13.12 + -13. Let i = 0.22 - b. What is the second biggest value in 4\/9, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 2699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -243, -670, -1295, -2118, -3139, -4358?\nAnswer: -5775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*n + 5*n = 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 18  (b) 114  (c) -0.1  (d) -5  (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-10)\/(-15) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2391.3 - 2389.3. Which is the closest to h?  (a) -0.3  (b) 0.08  (c) -1\/2  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ereree.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (864\/320)\/((-6 - 598\/(-100))*12).\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1029)\/(-343) - 6*(-20)\/(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -5. Suppose 2*m + q*m = 10. Calculate the smallest common multiple of 4 and -7 + 5 + 16\/m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70.2 - -9.2. Let f = g + 61. Let x = -301\/5 + 61. Which is the nearest to 1?  (a) 5  (b) f  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60038 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 295597.7527 rounded to the nearest one hundred?\nAnswer: 295600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6 + -5)\/((-3)\/(-6)). Let u(k) = 7*k**2 - t*k**2 - 5 + 5. Let n(d) = -2*d**2. Give u(n(h)).\nAnswer: 20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 204091902?\nAnswer: 2, 3, 7, 17, 151, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(2\/57)*(o\/(o\/o**5*o*o*o))\/o)**(3\/16))**(-1\/11))**(-1\/21) assuming o is positive.\nAnswer: o**(59\/70224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8006 + 25885 = 234*n + 707*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3469187983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -13*a + 5. Let l be g(0). Suppose 4*i - l*r = 1061, 4*i - r - 118 - 923 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1640 by 410.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15856 + 11395 = 7*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 93 + -154. Let p be -7 - q\/9 - (-32)\/(-18). Which is the third smallest value?  (a) -1\/2  (b) -4\/7  (c) p  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 5*u + w + 61, -5*u - 71 = -3*w. Let o(n) = 3*n**2 - 17*n + 6. Let q(z) = 2*z**2 - 16*z + 6. Let l(v) = 3*o(v) - 4*q(v). Calculate l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 77 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 less than 1356910987837?\nAnswer: 1356910987836.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d**2 - 96*d - 91. Let v be g(-31). Solve 4*p + 10 = v*f, 2*f + 4*p = -28 - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.39 times -1.03634?\nAnswer: -0.4041726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -295 divided by 1222.\nAnswer: -295\/1222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gbgbbegge. What is prob of sequence gg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 102 + 3. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 2*g + 6230, -16 - 4 = 4*g. Suppose 8*i - a + 547 = 0. Suppose -4*f = 10 - i. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 3*u**3 + 144*u**2 + 1656*u + 69. Give a(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 7:04 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14345 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-69)\/(-260) + 6\/4*((-5134)\/204)\/151?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 12, -92.9, 6\/17, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f**4\/5 - 3702*f**3\/5 - 3928*f**2\/5 + 831798*f\/5 + 5099031\/5 = 0. What is f?\nAnswer: -9, 17, 3703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 114377999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3087547 or 3087548?\nAnswer: 3087547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2714 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/162 and 107\/4698.\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d**2*l*p**2*y - 3*d**2*l - 48*d*l*y - 2*l*p**2 - 4*l wrt y.\nAnswer: 2*d**2*l*p**2 - 48*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 1. Let d(c) = -4*c - 3. Suppose 4*i = -3*f - 3, 2*f + 5 - 3 = 0. Suppose i*j - 5*j + 260 = 0. Let h = -55 + j. Calculate h*l(z) - d(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*v - 66*v - 460 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 5*n**2 - 2*n + 8. What are the prime factors of l(3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -558*b - 260*b - 231*b + 12*b to d + z*b and give z.\nAnswer: -1037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyjyyjyyjyj. Give prob of sequence yyjy.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -4*x**5\/9 + 3536*x**4\/9 - 30076*x**3\/3 + 858728*x**2\/9 - 3575680*x\/9 + 1830400\/3 = 0.\nAnswer: 5, 8, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -68278523.4\nAnswer: -68278525.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2793, 5588, 8383, 11178?\n\"Answer: 2795*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -71322 times 35?\nAnswer: -2496270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + 43 - (6 + -9)) + 3. Let m(q) = -7*q + k + 12*q + q - 8*q. List the prime factors of m(6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 93 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-14)\/21 + (-8)\/6. Let h be 6 + x\/(-2) + -4. Factor -7\/5*m**h + 8\/5 + 1\/5*m**4 + 18\/5*m**2 - 4*m.\nAnswer: (m - 2)**3*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 444*k - 448*k + 576. What is the remainder when k is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17.75134 decades to months.\nAnswer: 2130.1608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 95*a - 1238. Give m(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4171 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 7*q**2 + 7. Let d be c(5). Let a(w) = w**3 + 6*w**2 - 6*w - 4. Let u be a(-7). Let m = u + 30. What is the highest common divisor of d and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 5 = -8*x + 7*t, -3200*x + 3201*x = -t - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -2*v - 4*j + 31200000, 5*j + 46800033 = 3*v. Suppose 0 = -0*g + g + 3*w + 7799991, 2*g = 2*w - v. What is g rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l - 3. Let t(j) = j - 4. Let y(z) = -6*o(z) + 5*t(z). Let q be y(-4). Suppose q + 4 = 2*a. Put a, 2, 4 in decreasing order.\nAnswer: 4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 + 5. Let y = -7.226 + 7.1. Let w = 1.126 + y. Is w at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.319 - 255.681. What is the nearest to 0 in -1\/5, k, 3\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1385 (base 9) to base 5.\nAnswer: -13144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2. Let a(p) = -p - 2. Let x be a(-6). Let h be ((-12)\/(-5))\/(6\/15). Let v(f) = -f + x*f - h*f. Determine i(v(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 112 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 4*i + 16 = -s, 5*i - 20 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8537 + -7237. Is q bigger than 1299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -1\/10, 3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, a: 3}. What is prob of picking 2 a?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2403520 and 3360.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102659*s - 18 = 102657*s + 4*v, -2*s = v + 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 4820756830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2 + 11*x + 9*x - 6*x - 3*x. Let k(q) = 2*q**2. What is k(v(u))?\nAnswer: 242*u**2 - 88*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 949.6 + -951.6. What is the closest to i in -0.6, 0.25, 4, -0.06?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 444392 less than 444371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1032768840 to the nearest 100000.\nAnswer: 1032800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 492601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -233 + 239. What is the remainder when 30\/(-2)*1*-1 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((918\/(-45))\/(-51))\/(-6)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j + 0*j - j**2 - j)*(77*j + 30*j - 23*j) + (7 - 7 - 13*j)*(-3*j - j**2 + 3*j) to o*j**2 + v + q*j + r*j**3 and give o.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 3376494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*u - 16*u - 15624 + 14230 = 0 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 2122790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 3\/8, 32, -2\/3, -2\/9, -13, -1, -6\/11?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j - 4 + 3*j - 4*j. Let a be -20*2\/(-8)*1. Calculate p(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/6)\/((-2)\/(-48)). Suppose -10662 = 5*j - b*j. Suppose -2*l - j = 7046. What is l rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*x - 2*x - x)*(-4*x**3 + 4*x**3 - 75*x**3) + 2*x**4 + 4*x**3 - 4*x**3 to the form k*x**2 + w + b*x**4 + i*x**3 + u*x and give b.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1380875 divided by 46\nAnswer: -1380875\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = 22 - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 30174\/14 - 16\/56. Suppose -13*i + 14*i - g = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 523032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3*sqrt(175))**2.\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 11*u**2 - 12*u + 3. Let x be s(12). What is the closest to 14 in x, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3671 - 5096 = 203*f + 1383 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.75911 weeks in microseconds?\nAnswer: 24046309728000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -2*v**2 + 1. Let y(z) = -5*z**2 - 27*z - 24. Let l(o) = -2*a(o) + y(o). Factor l(u).\nAnswer: -(u + 1)*(u + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - -2) + 10 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1017749\/1348 less than or equal to 755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26*a**4 + 162*a**3 + 1567*a**2?\nAnswer: -624*a + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**2 - 692*o**3 - 5*o**2 - 31487*o**3.\nAnswer: -32179*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11.57 + 3.76. Let r = 2.29 - p. What is r rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - -192.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -830081 and -830080 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f = 32 - 6. Suppose f*x - 345 + 59 = 0. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9903, 10186, 10491, 10818, 11167, 11538, 11931?\nAnswer: 12346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 + 6*w**2 - 8*w - 10. Let q be u(-7). Let o(f) = -31*f - 28. Does 19 divide o(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a - 6874. Let p(u) = 2*u + 13947. Give 3*p(h) + 5*v(h).\nAnswer: h + 7471","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 47469840\/41 or 1157800?\nAnswer: 47469840\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175975 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 946231*i**3 + 946235*i**3 - 1892467*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 10104 (base 5) to base 8\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 570?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000064784 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 983 divided by 6?\nAnswer: 983\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -8*t**3 + 4*t**2 - 227*t + 757. Determine l(3).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 553465?\nAnswer: 5, 11, 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 7*w + 118. Determine v(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d + 21*d + 9*d - 330. Solve 6*s - d*s = v + 10, 2*s + 4 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2472382883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -984 + 585. Let z = -394 - n. Solve 0 = -w - 4*q + 2*q + 1, 5 = 5*w + z*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1856, 3, -2\/15, 14, -5 in ascending order.\nAnswer: -5, -2\/15, 0.1856, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*u - 3*y + 9 - 45 = 0, -23 = -u + 4*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58\/8 + 2\/(8\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of 14*v**3\/3 - 177*v**2 - 1688*v. Determine t(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 844 - 850. Let v(z) be the second derivative of 4*z**4\/3 + 26*z**3\/3 + z. Let h(i) = -i**2 - 3*i. Give l*v(b) - 104*h(b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1.1*-7.6\nAnswer: -8.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3600)*1 + sqrt(3600) + sqrt(25))\/(sqrt(180) + -1*sqrt(180) + sqrt(180)).\nAnswer: 25*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 + -334 + -142 + 25?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005797673 to four decimal places.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19.4 + -19. Let f = 3.4 + -3.4. Which is the closest to -2\/7?  (a) s  (b) -0.3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-10)\/n*n)\/n**(-3)*(n\/(n*n**(-18)))\/n**(-1\/4) assuming n is positive.\nAnswer: n**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 71, 330, 759, 1358, 2127, 3066, 4175?\n\"Answer: 85*z**2 + 4*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 18 = 5*p. Suppose g = -p*g + 20. Solve o - 3*b = b - 6, -8 = -g*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*d - 11*d + 40*d + 12*d**3 - 3*d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -79 - -88. Suppose -7 = -l - 4*n, -4*l - n + r = -4. Solve 2*c = -3*y - l*c - 21, 0 = -y + 2*c + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 11:11 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 5, -0.2, 452?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -430353 * 0.06\nAnswer: -25821.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1868040, -7472176, -16812404, -29888724, -46701136, -67249640?\n\"Answer: -1868046*v**2 + 2*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0008555953954 rounded to 5 decimal places?\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 219*u**3 - 2*u + 1. Let r be b(1). Suppose -3*w + 6*w = -4*s - 252, w = -s - 84. Let h = w + r. List the prime factors of h.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 977.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*2*sqrt(2448)*5 - (1 + sqrt(2448) + sqrt(2448)*3 + 3)**2)*-3.\nAnswer: 2232*sqrt(17) + 117552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**4\/3 + 474*z**3 + 170387*z**2 + 3998792*z\/3.\nAnswer: z*(z + 8)*(z + 707)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 41*c**5 - 537*c**2 - 181*c**5 - 25*c**5 wrt c?\nAnswer: -9900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 + 31*f**2 - 1312*f + 34434. Determine g(28).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 7, g: 3}. Give prob of picking 2 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 7, k: 2, t: 3}. Give prob of sequence tdt.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-3 + 1)\/(2\/(-12)) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(18*m + 42 - 80 + 40).\nAnswer: 18*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g + 5. Let s be ((-72)\/48)\/(3\/8). What is the remainder when (19 - 21)*262\/s is divided by k(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + (-5 + 9 + -7 - -5 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 + 42. Let y = 535 + -531. Let o(i) = i**3 + 8*i**2 + 8*i - 5. Let u be o(-6). Solve 3*b + 0*b - 5*m = -g, -y*b = -m + u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10766.2434 to the nearest 100.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011001202011 (base 3) to base 10.\nAnswer: -611446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16533659 is divided by 1066.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19677\/5, 4, -0.026 in decreasing order.\nAnswer: 4, -0.026, -19677\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w + 7*w**2 - 2*w - 3*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (((sqrt(1216)*-2 - sqrt(1216)) + 2 + 1)**2 - 6*((-3 + sqrt(19) + (sqrt(19) - (sqrt(475) + sqrt(19))))**2 + 0)))*2.\nAnswer: -576*sqrt(19) + 18158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 divided by 22.\nAnswer: -19\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -55 - -55. What is the second smallest value in 2\/11, 2, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a + 2*a + a. Let r(t) = t**2 + t - 1. Let i be 3 - (-2)\/(-2) - 1. Let z(f) = 7*f**2 + 5*f - 5. Let c(q) = i*z(q) - 5*r(q). Calculate c(n(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1918 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 74, 532, 1824, 4394, 8686, 15144, 24212, 36334?\n\"Answer: 74*q**3 - 27*q**2 + 21*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 j when four letters picked without replacement from ddbjjjjjjdbdd.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uvii. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 302840.\nAnswer: 2, 5, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-3*sqrt(567) + sqrt(567)) + 2 + 2.\nAnswer: 4 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*j + 1 - 1)*(-j - 3*j - j)*(10*j**2 + 6*j**2 - 15*j**2) in the form y*j**3 + m*j**4 + l*j + w + c*j**2 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11366 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 18682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.065 - -1.065. Which is the second biggest value?  (a) 4  (b) 0.21  (c) 1\/6  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/(-3)*(367926\/(-9880))\/(-53) and 191\/570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*m**2 + 14*m**2 + 3*m**2)*(-7 + 7 + 2*m).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/3)\/(((-8)\/(-18))\/4). Suppose 8 = x - 2*m, 3*x - 4*m - 25 = -d. Solve x = -5*k + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*u - 2870 = 59*u. Does 49 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/10 + 46 + -46\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1807*l**2 - 37*l**2 + 238*l**2)*(-6*l**2 - 2 + 2 + (-3 + 2 + 2)*(0*l**2 + 0*l**2 + l**2)).\nAnswer: -10040*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - 211100102?\nAnswer: -211100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 100166163 - 1?\nAnswer: 100166162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 7*y + 6. Let h be (8 - -2) + (-1 - 2). Suppose -2*i = 4*p - p - 5, -3*i = 5*p - h. Let x = 2 + i. What is d(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, j: 1, e: 3}. What is prob of sequence exe?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2962522 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 837 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qd when two letters picked without replacement from pldrqrq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22339 (base 15) to base 5.\nAnswer: -11434404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11*4\/176)\/((-4)\/(16\/2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 12 = 4*m. Suppose -5*t - 2*o = -11, t - 5*o = 3*t + m. Suppose 0 = -2*y + 5 - t. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46060?\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 106*n**2 - 20*n + 16. Let m(b) = 105*b**2 - 24*b + 21. Determine -4*a(r) + 3*m(r).\nAnswer: -109*r**2 + 8*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 157578 or 157586?\nAnswer: 157586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.08 in 3, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 5*q**2 + 211*q + 2219. What is m(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -s**4 + 2*s**3 + 17424*s + 109491 wrt s?\nAnswer: -4*s**3 + 6*s**2 + 17424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -145, -287, -429, -571, -713?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16460 + -16458. Solve -r = v*k - 2*r - 6, -k = -5*r + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 5 - 6 + 9 + 5634*x**3.\nAnswer: 5634*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) -5  (c) 0.2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 0. Let h be 6 - (1 + 1 - 2). Let y(w) = 8*w - 7. Let k(b) = -6*b + 6. Let z(g) = -6*k(g) - 5*y(g). Let v(r) = r. What is h*v(a) + x*z(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 208 + -212.63. Let x = 0.63 + w. Let v = -139\/10 + 82\/5. Which is the nearest to v?  (a) -1\/4  (b) 0  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4414*y + 949*y + 127780 - 37690 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 1 = 4, -5*f + 4*i + 161 = 0. Calculate the greatest common divisor of f and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 35ab363 - 21?\nAnswer: 35ab342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -847248, -847764, -848266, -848748, -849204, -849628?\n\"Answer: d**3 + d**2 - 526*d - 846724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-56)\/(-10) - 2\/(-5). Suppose 0 = -m + j*m - 65. Let o = 11 + m. Solve -2*k - 15 = -3*k - 4*l, -5*k = 3*l - o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = -7857*u + 7859*u + 30, 4*z - 524 = 28*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 2:08 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-22)\/6)\/(-2*(-2)\/12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mee when three letters picked without replacement from uummdumudldudemel?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 8*c**2 - 7. Let o(f) = -f**2 + 1. Let a(g) = g**2 + 5. Let u be a(-4). Let l(q) = u*o(q) + 3*s(q). Let j(i) = -2*i**2 - 3*i + 3*i. Calculate l(j(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/226111?\nAnswer: -1\/226111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363) + sqrt(363) + (sqrt(363) - (-1 + sqrt(363) + -1)))**2.\nAnswer: 88*sqrt(3) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/736 and 139\/1656.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2904572508.\nAnswer: 2, 3, 4561, 53069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2607, -2663, -2765, -2919, -3131, -3407?\nAnswer: -3753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 - 208 = 67*s. Let w = 7 - 10. Let h be -2*1\/(-1) - 2. Which is the closest to h?  (a) s  (b) w  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q - 6*q - q**3 - 2*q**3.\nAnswer: -3*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/135)\/(8\/24).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78172166257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -446, -2, 1 in decreasing order.\nAnswer: 1, -2, -4, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -336508 - -102298343\/304. What is the common denominator of y and 59\/8?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/1 + 416\/32. Let n be ((-4)\/10)\/((-10)\/(-125)*d). Is -5\/2 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 2*t**2 + 3*t**2 + 46 - 19 to the form w*t + p*t**2 + c and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-3)*63\/(-147)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - r - 86 = 0, 0*f + 346 = 4*f - 5*r. Let y = f + -90. Let l be (6\/(-4))\/(y - 0\/(-6)). What is the smallest value in -2, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1397 + -4144\/3. Find the common denominator of -11\/10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10.8422 + -0.1578. What is the nearest to -0.1 in -1\/11, 0.4, -0.35, u?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2, 704, -5, 1, -3, -13 in decreasing order.\nAnswer: 704, 1, 0, -2, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14679172.00135177 - 0.3.\nAnswer: -14679172.30135177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -11*h - 27. Sort h, -0.8, -0.3 in decreasing order.\nAnswer: -0.3, -0.8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -39967 divided by 29\nAnswer: -39967\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.381 - 0.38100219. Round f to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 11*t**2 - 2. Let q = 15 + -17. Is 14 a factor of d(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g - 14*g = 44 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*b + 1 + 5*b - 6*b)*(0 + 4 - 2).\nAnswer: 10*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d - 5. Let p be h(12). Let w = 10 - -18. Suppose 5*q - 357 = w. What is the greatest common factor of p and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 7*v. Let p(u) = -6948*u**2 + 3475*u**2 + 3434*u**2 - 2*u - u. What is j(p(f))?\nAnswer: -273*f**2 - 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 3 = -w, i - 4*i - 1 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*n + 2*n + n + (-2*n + 2*n - 2*n)*(-2 - 2 + 5) - n + n + n + 2*n + n - n - 595*n - 621*n + 1391*n.\nAnswer: 172*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 311401 + 214?\nAnswer: 311615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o - 32*o = 0. Let i(d) be the third derivative of -5*d**2 + 0 - 1\/20*d**6 + o*d**3 - 1\/105*d**7 + 0*d - 1\/12*d**4 - 1\/10*d**5. Factor i(u).\nAnswer: -2*u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 108 = 3*a + a, 0 = -2*a + 4. Let g be (-38)\/(-12) - 100\/(-120). Solve -p = g*p + o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*((-136)\/680)\/(2\/(-5)*-1)*-53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -50 + 114. Suppose j + 3*c - 8 = 0, 2*c = 5*j + 14 - 105. What is the remainder when s is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/62, 2\/5, -0.3, -0.5 in decreasing order.\nAnswer: 2\/5, 3\/62, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 126*g**3 - 49*g**2 - 11*g. Let w(q) = 25*q**3 - 10*q**2 - 2*q. Let v(i) = -11*w(i) + 2*x(i). What is the third derivative of v(d) wrt d?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2556174 and 276?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15587 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 2)*(-3*p + 0*p + 5*p) - p + 9*p + 0*p + 10 + 5*p - 10 + (p + 0*p + 0*p)*(-1 - 2 + 2) in the form w*p + g and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = 5*q - 244. Let j be (4\/(-10))\/((-13)\/q). Factor 2\/9 + 0*x - 2\/9*x**j.\nAnswer: -2*(x - 1)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 - 4)*(2*c - 1 + 1) + 2*c + 3*c - 3*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 64775 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**3 - 3 + 3)*(0*l - 4*l - 6*l)*(-4 + 4 - 1 + 2 - 6 + 1 - 1 + 2 + 0 + (-1 + 1 - 1)*(-3 - 1 + 6)).\nAnswer: 50*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*x = x - 51, -5*x = -o + 29. Suppose -2*m + 0 = 4*g + 2, 5*m - 4*g = -o. What is the second biggest value in m, 0.9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l = -5*l - 20, -26 = -3*v + 5*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*y - 19*y + 474 = 0. Suppose -y + 57 = -4*h. Calculate the highest common divisor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.5664 and 86.\nAnswer: 86.5664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 - 13. Let f be 1 - (-3)\/(3\/1). Let h(y) = 1 - 1 - 3 + y**f + 8 - 7*y. Give h(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 946.0668 millennia in months?\nAnswer: 11352801.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/(-18)*10 - 2. Suppose -3*s - 2419 = -5*p, -w*p = -0*p + 3*s - 1437. Sort -2, p, -4 in descending order.\nAnswer: p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -13  (b) -9\/1925  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/2664 and -173\/239490?\nAnswer: 35444520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/81 in -2, 147\/20, -0.3, 1\/6, -2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -4*c**2 + 10*c - 7. Let i(m) = -m - 2. Let k(u) = -5*i(u) - r(u). Does 3 divide k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -74\/43821 and 97\/24.\nAnswer: 350568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {o: 3, n: 1, e: 1, j: 2, u: 1, b: 5}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, k: 1, l: 1, i: 2, v: 1}. Give prob of picking 1 k and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 AM and 12:30 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 6592 = 3*z, 2*p = -5*z + 10031 + 904. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1920 and 600?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 (base 3) in base 15?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 43\/7  (b) -5  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.562 and 9486?\nAnswer: 5331.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187*v = -323*v + 182*v - 782 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 552 and 8072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 7*w**2 - 2*w + 12. Does 4 divide p(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 36 or 700\/19?\nAnswer: 700\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47149960 - 23.05.\nAnswer: 47149936.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19b0a (base 12) to base 10.\nAnswer: 37882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 2, 5, 101 in decreasing order.\nAnswer: 101, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 16. Let u = 44.43 - 44. Let w = 0.03 - u. Sort w, 2, k.\nAnswer: k, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.2 take away 8.1?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 8*d**2 + 7*d. Let o be u(-7). Let w be (1*(-12)\/(-15))\/(-6). Which is the third smallest value?  (a) o  (b) w  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (12\/(-9))\/(6\/(-9)). Let k(v) = v**n + 3*v**3 - v**3 - v**3 - 90 + v. Let s be k(0). Round s to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(-2*-3*sqrt(95) + 2*1*sqrt(95)))\/((sqrt(180) - sqrt(180)*1*-5 - sqrt(180)) + 1*sqrt(180)*2 + sqrt(180)))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4197*g**2 - 56492754 + 56492754 in the form q*g**2 + c + z*g and give q.\nAnswer: 4197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m + 6*m + 125 = 0. Suppose a + 4*a = m. Suppose d + 4*h = 2*h + 10, a*d + 2*h - 42 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y - y**2 + 3*y)*(-2*y + 0*y + 4*y) + (-3 - 6*y + 3)*(-4 - 2 + 4)*(y**2 - 2*y**2 + 2*y**2).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 2*f - 40. Find the third derivative of 0*m**2 - f*m**3 - 2*m**2 + 10*m**3 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 13*t. Let k(o) = -o**2 + 5*o. Let c(j) = 2*j**2 - 7*j. Let i(a) = -5*c(a) - 7*k(a). What is d(i(w))?\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 468873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 698487 and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/42600 and -163\/830700.\nAnswer: 1661400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1075153530 and -0.12?\nAnswer: 1075153529.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*u + y, -2*y + 10 = -3*u + 4*u. Let p be 2\/(-6) + 74\/u. Suppose -4*k = 3*m - 22, 4*m + p = 6*k - k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 64, 179, 414, 829, 1484, 2439, 3754?\nAnswer: 5489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 - -5)\/(2\/2846) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -3*m + 13*y - 16*y, -5*y + 15 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 189, -2\/7, 14, 6.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*a + 28116 + 118764. Suppose -5*t + 41421 = -3*h, 0 = t - 2*h - a + 1512. Suppose 0 = 3*k + 3*k - t. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 224 and 20.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 48\/(-32)*2*-1. Let z be (-4)\/6 + (-30)\/(-18). Suppose 0 = -5*u + 5*d, -5*d = 3*u - 4*u. Sort z, u, s.\nAnswer: u, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -265\/4, 82 in descending order.\nAnswer: 82, 0, -265\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -392\/11, 1418\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -ba + -14985a5?\nAnswer: -14986a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 8 = 4. Let z = 59.178 - 59.278. Sort -26, z, r in decreasing order.\nAnswer: z, r, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 348 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - -7. Suppose 3*r + 3 + 6 = 0. Let n = r + 4. Which is bigger: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3127 (base 14) to base 5.\nAnswer: -232323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/(-6))\/(15\/(-225)) + 9. Suppose -m*l = 5*u - 1009, 15*l - 14*l - 2*u - 249 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 24955400*u + 16. Let h(p) = -2*p. Determine h(c(a)).\nAnswer: -49910800*a - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 873775.6 millilitres in litres?\nAnswer: 873.7756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -229127 or -229128?\nAnswer: -229127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 2, -7, -16, -25, -34?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2243 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3*k = 196. Let p = k + -41. Suppose -2*u + 36 = 2*n, -6*n - 4*u = -3*n - p. What is the highest common divisor of 105 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3*b**2 + 37*b + 16. Let n be x(-12). Let q be 2 + n\/20 - 2. Let r(h) = h**3 + 3*h**2 - h + 1. Let w be r(-3). Sort -9, q, w in ascending order.\nAnswer: -9, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2204 or 0.1?\nAnswer: 2204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -258346, -1033335, -2324964, -4133233?\n\"Answer: -258320*l**2 - 29*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-621)\/690)\/((-4)\/120).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 i, 1 q, and 1 v when four letters picked without replacement from iqivvvqiqqvikqkywqq.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61056 is divided by 234?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1751831923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17306840 and 1460?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1767.\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2431 - 1376. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 + 29. Let l = 14 - z. What is the tens digit of (-176)\/(-48)*l*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (((-2)\/3)\/(345\/(-621)))\/2. Factor 3\/5*c + 0 + 0*c**2 - g*c**3.\nAnswer: -3*c*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13\/634 - 35875\/43746. Calculate the common denominator of 17\/18 and w.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 4*b. Let f(z) be the first derivative of -z**2\/2 - 6. Give f(u(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (210\/10 + -2)*5209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -72 + 72.0000046. Round b to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1551803393?\nAnswer: 7, 43, 199, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**3 + 7231*j**2 - 515063*j - 2756215 = 0. Calculate j.\nAnswer: -5, 77, 7159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -1a8000?\nAnswer: 1a8003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6340 - -6357. Solve 0 = -y*w + 21 - 38 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*b - 61*b = -0*b + 480 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -380.09 rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/4 + 0)*-6. Suppose 4*o - i*o = 3. Find the third derivative of -r**3 + 2*r**5 - 2*r**2 + r**2 + r**o wrt r.\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 116164045, 116164048, 116164051, 116164054?\n\"Answer: 3*p + 116164042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4*sqrt(152)*2)\/sqrt(8).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1514902*y**5 - 7*y**4 + 3*y**3 + y**2 - 3618*y - 240 wrt y?\nAnswer: 90894120*y**2 - 168*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*a**3*f**2 + 1378*a**3*f - 10382*a**3 - a*f**2 wrt f?\nAnswer: 10*a**3*f + 1378*a**3 - 2*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6006582521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 197334197161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 33283 + -33276. What is the remainder when 1889 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42312 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*r + 17*r - 439 + 441.\nAnswer: -57*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 111985329.\nAnswer: 3, 37328443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 61 - 51. Which is the closest to 1?  (a) d  (b) -0.1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*i - 58*i - 12*i)*(-2*i**3 + 27*i - 6 - 27*i).\nAnswer: 178*i**4 + 534*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 5:47 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 5*l = 30, 18250 - 18256 = -4*q - 5*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26364220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*h - 0*h. Find z such that -327*z**3 - 57*z**5 + 378*z**4 - 90*z**5 - h*z + 108*z**2 - z - 4*z = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 312.64 + -5.64. Let f = z + -306. Let d(w) = w**3 + 7*w**2 - w - 8. Let h be d(-7). Which is the closest to -2\/3?  (a) f  (b) 0.1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -93*z. Let n(y) = -14*y**2 + 8*y + 32. Let d(h) = 9*h**2 - 5*h - 20. Let m(c) = 8*d(c) + 5*n(c). Give m(f(t)).\nAnswer: 17298*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -116\/33 + 1948\/429. Let c = q + 4\/13. Let b = 23 - 21. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 14) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*o + 4 - 4*o + 8 - 9*o.\nAnswer: -2*o + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -1 - 2*x**2 + 7*x + 0*x + 3*x**2 - 12. Let f be l(-9). Suppose 8 = y + f. Put 4, 2, y in ascending order.\nAnswer: 2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3.47, -7 in ascending order.\nAnswer: -7, -3.47, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14810050 to the nearest integer?\nAnswer: 3848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7429372*w**2 + w - 2393807 wrt w?\nAnswer: 14858744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (561*y + 19*y**2 - 561*y)*(2*y - 4*y + 19*y + 2).\nAnswer: 323*y**3 + 38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 962 - 959. Solve -p = s, 5*s + 5*p - t = s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -460 + 5*d + 11*d + 7*d - 24*d - 588.\nAnswer: -d - 1048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 5208*c**2 - 7*c + 8. Is v(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - 4 - 2\/(-1). Suppose -2*s = 3 + o. Let p = -150 + 1352\/9. What is the closest to 0 in p, s, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*y - 6*y + 5*y)*(2*y + 3 - 3)*(0 + 2 - 1) to the form v + i*y**2 + o*y and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 14 = -10*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 160*v**2 + 140. Let g(b) = -2*b**2 - 2. Let x(a) = -350*g(a) - 5*i(a). Let s(y) = 2*y**2. Determine s(x(n)).\nAnswer: 20000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -97 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 237*s - 107*s + 110*s + 4 + 224*s.\nAnswer: 464*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3.03?  (a) -3  (b) 3\/2  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaooooooo. What is prob of picking 2 o?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -2*u - 12. Let k(t) = -3*t + 43. Let n(m) = -k(m) - 3*y(m). Let a(h) = 26*h - 20. Calculate -6*a(q) + 17*n(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 83*s - 76*s - 42. Suppose -x = 5*h + 14, -x - 12 = -5*x - 3*h. What is the greatest common factor of s and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - -1. Let s = 0.3 + -0.33. Let i = -2.03 - s. What is the third biggest value in -4, i, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i**2. Suppose 0 = 4*u + 4*r, 3*u + 2 = -5*r - 2. Let f(h) = h**u + 2 - 1 - 1. Determine f(d(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*r**2 - 20276*r - 3484*r + 0*r**3 - 3*r**3 - 5572 + 703*r**2 + 28804 = 0.\nAnswer: 1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - i**2 + i + 4. Let r be b(0). Let h = r + -5. Suppose -11217 + 11235 = 2*k + 4*c, 5*k + 3*c = -4. Sort 0, 3, k, h in descending order.\nAnswer: 3, 0, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(sqrt(396)*5).\nAnswer: sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*b + 3*f - 39, 9*b + 66 = 13*b + 5*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 3877216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 4437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20132033313 + 22?\nAnswer: 20132100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1*(sqrt(343) + 0) + 1)**2.\nAnswer: -1720 + 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 140143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3\/4  (b) -0.1  (c) -1  (d) 1\/13  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h, -2*r - 12*h + 10 = -7*h. Suppose -4*u = r*v + 18 + 19, -4 = 4*v. Let s(g) = g**3 + 8*g**2 + g - 1. Determine s(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-2)\/(-8)) - (-1 + 8 - 24).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 + 0.24. What is z rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h. Let m(f) = 8*f**2 + 2*f - 1. Let s(o) = m(o) + 4*z(o). Find the second derivative of s(x) wrt x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**2 - 5007*a + 10002.\nAnswer: 3*(a - 1667)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -74, -1.4, 2, 6?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1935*l + 8193 = 1438*l + 44517 + 779 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, d: 5}. Give prob of picking 1 d and 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -4*t + 32, 3*t + 2*q + 10 = 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48044 divided by 4.\nAnswer: 12011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (160\/24)\/(10\/(-50)*50\/(-6)). Let 0*c + 2\/5*c**p + 2\/5*c**3 - 2\/5*c**2 + 0 - 2\/5*c**5 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 8*y**2 - 25*y - 18. What is the units digit of q(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 239556?\nAnswer: 2, 3, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/9, -5, 0, -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2377280 * 26.\nAnswer: -61809280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-4)*((-12)\/(-4))\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of -325\/24*r**4 - 4\/3*r**3 + 0 + 0*r - 13*r**2. Is k(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48545\/(-1387)*1\/((-10)\/(-4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1002 greater than 1003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 444?  (a) -3\/4  (b) 6  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -48*p**3 - 4*p**2 + 3*p + 1. What is o(1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 = 3*x - 66*s + 63*s, 5*s = -4*x + 212. Solve x - 18 = -5*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f + 21. Let t be m(-13). Suppose -t*g + 694 = -1186. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - r**2 - 2*r. Let w = -35 + 39. Suppose w*n = -y + 52, -50 = y - 2*y - 3*n. Let i = y + -46. Calculate x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -4*i**2 - 7. Let g(r) be the second derivative of -r**4\/12 - 1753*r. Calculate g(b(u)).\nAnswer: -16*u**4 - 56*u**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 7*l**2 - l - 4. Let k(j) = 4*j + 256. Let v be k(0). Let w be (3\/9)\/(3 + v\/(-84)). Determine i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157679*a - 157851*a + 286 = -574 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 4*b - 6, 5*b + 2*x - 12 + 4 = 0. Let m be (b\/4)\/((-2)\/8). Let n be (-24)\/m - 3 - -3. Calculate the greatest common divisor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 340 and 11.049?\nAnswer: 3756.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 17 = 3*k, 2*k = w - 1 - 5. Suppose 31*h - 19*h + 4 = 52. Solve h = w*n - 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, z: 4, m: 5}. Give prob of picking 2 d and 1 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 5*p**2 - 2*p + 1. Let z(k) = 2*k - 7. Calculate the remainder when c(-2) is divided by z(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (69\/(-9))\/(2\/(-6)). What is the second derivative of -14*g - 9*g**4 + k*g**4 + g wrt g?\nAnswer: 168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.0223339 - -2.\nAnswer: -0.0223339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.4  (b) -15  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/53, -4, 0.1, -3 in ascending order.\nAnswer: -4, -3, -2\/53, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -0*p - p. Suppose -15*y = 2*n - 14*y - 20, -y + 2 = 0. Solve -p*b + n + 1 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*(-15)\/18*(-8)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -6. Suppose 21 = 3*b + 5*k, 3 = b - 2*k - c. Suppose 0 = -6*h - 35 - b. Let w(r) = -r**3 - 7*r**2 + r + 8. Determine w(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 848, 1710, 2584, 3470?\n\"Answer: 6*g**2 + 844*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 603922.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 + 9*j**2 - 7*j. Let l be k(6). Let p = -61 + l. Suppose 42 = p*r - 3*r. What is the remainder when 59 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t - 4*l + 420 - 436, -4*t - 4*l - 16 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8920637, 8920639, 8920641, 8920643, 8920645, 8920647?\nAnswer: 8920649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 0.1  (c) -0.2  (d) -3\/2  (e) 0.1525  (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -24, 0, -0.3, -0.28, -5 in increasing order.\nAnswer: -24, -5, -3\/5, -0.3, -0.28, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*b - 111 + 33. Suppose b*j - 18*j = 0. Determine q so that 0*q + j + 3\/4*q**3 + 3\/4*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**4*q)**(2\/51) assuming q is positive.\nAnswer: q**(4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -5  (b) 1\/2  (c) 3  (d) 207  (e) 3\/5  (f) 23\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-166)\/1660)\/(2\/8 - (-11)\/20)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10\/(-6))\/((-3)\/9). Put m, 1, 0.4 in descending order.\nAnswer: m, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1885930 is divided by 628603.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*b + 3 - 3 + 98*b**2 - 63*b**2.\nAnswer: 35*b**2 - 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4212 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: Which is the nearest to -9?  (a) -163  (b) 4\/7  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 12 + 4 = 0. Suppose v*a = -a + 15. Suppose d = -l + 990, d - 3*l = a*d - 1977. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 67 and -3.20977.\nAnswer: -215.05459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*h**4 + 0*h**3 + 13*h**4 - h - 3*h**2 + 2 - h**3 + 2*h**3 = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of -z**4\/6 - 3*z**2\/2 + 4*z + 12. Let y(r) = 4*r**2 + 6. What is -5*f(o) - 2*y(o)?\nAnswer: 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 - 5769.\nAnswer: -5769.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3*r - 12. Let z be a(-6). Suppose 25*j = 17*j - 672. Let v = j + 89. Solve 2*q + z + 3 = -v*g, 3*q = -4*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 3*u. Let f = 4 - 1. Let q(b) = -b**2 + 4*b. Let g(w) = -w - 4. Let r be g(0). What is f*q(s) + r*k(s)?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 43*i**2. Let w(a) = -25*a**2. What is w(k(x))?\nAnswer: -46225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -21 and -2012201?\nAnswer: 42256221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7 and 143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -12*w**3 + 194*w**2 + 974*w + 17. Give h(-5).\nAnswer: 1497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6\/5)\/(315\/675))\/(3\/14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 4*n**3 - 4*n**2 + 4*n - 9*n - n**3 - 6. Let f be d(6). Suppose -5*a + f = 3*c, -7*a + 163 = c - 3*a. What is c rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -3*i**2 - 10*i. Let l(r) = 2*r**2 + 11*r. Suppose 6*s - 4*g - 32 = 11*s, s - 2*g = 2. Determine s*l(v) - 3*n(v).\nAnswer: v**2 - 14*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (414\/(-345))\/((-2)\/(-5)). What is the remainder when 373 is divided by (-234)\/(-8) + l\/12?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -6*x + 1. Let c be (x\/1)\/((-10)\/(-210)). Suppose g + b + 7 = 36, -g + b + c = 0. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/4359521 and 99\/57742.\nAnswer: 8719042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 6054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -61757 (base 9) in base 15?\nAnswer: -c0e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of t**4\/12 - t**3 + 4*t**2 + 10*t. Let m be o(5). Do m and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from slksf. What is prob of picking 1 l, 1 s, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 1596.876 micrograms?\nAnswer: 0.000000001596876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of 1\/3*p**3 + 5*p + 1 + 5\/2*p**2. Let y be v(-5). What is the smallest value in 2, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 4*n = 10, 5*n - 9 = -m - 7. Factor 33*i**m - 22*i**2 - 14*i**2 + 18 + 3*i.\nAnswer: -3*(i - 3)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1096881, 1096868, 1096845, 1096806, 1096745, 1096656?\n\"Answer: -r**3 + r**2 - 9*r + 1096890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 49a9 - 0?\nAnswer: 49a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {j: 4, t: 1, q: 1, i: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -629*y + 602*y + 378 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 180514 = v + 180542, -9*w = -0*v - 2*v - 4*w - 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 272*n - 435. Let j(b) = -544*b + 869. Let v(t) = 4*j(t) + 9*r(t). What is the first derivative of v(c) wrt c?\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1148*h**3 + 3*h**2 - 1147*h**3 + 21*h**2)*(-6*h**2 + 3*h**2 + 4*h**2).\nAnswer: h**5 + 24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (0 - 15 - (145 - 153)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 6. Suppose 3*k + m*t = 4*k + 7, -5*k - t = -49. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-70)\/12)\/7*(-3)\/20\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2987.\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2314 or -2330?\nAnswer: -2314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 60884431 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 + j**2 + j. Let r be g(0). Suppose -i + 3*i - 10 = r. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14032 (base 9) to base 15.\nAnswer: 2c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7265362 tonnes to nanograms.\nAnswer: 726536200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.5 and -1718093.\nAnswer: -1718092.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 51\/18430 and -43\/30.\nAnswer: 55290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide (-264)\/(-55)*10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -2. Suppose 4 - 11 = -7*f. What is the second smallest value in c, f, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 - -40. Let w be 10\/a + (-3)\/(-9). Let h be (-3)\/((w\/(-1))\/(-26)). Which is greater: -40 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4 or 75684?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3172 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2578*f = 2972*f + 2466 - 30440 for f.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 7.3. Which is the second biggest value?  (a) -6  (b) -3  (c) w  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(-4*sqrt(10)\/sqrt(5)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1212 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-10)*((-16)\/(-4))\/(-8)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10794*q**2 - 10801*q**2 - 10794*q**2 + 32391*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 9, 2*s = s + 2*n + 1172. Suppose f - 4*o - o = 254, s = 5*f + o. Suppose -2*g - r = 3*r - f, -4*g = r - 454. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -24028 or -24027?\nAnswer: -24027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c**2 - 661*c - 9486 wrt c.\nAnswer: -2*c - 661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3451 + b?\nAnswer: -3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t - 18. Let f = 0 + -11. Let x be q(f). Solve -10*l**3 + 3*l**x - l**4 + 0*l**3 + 7 - 15 + 16*l - 2*l**2 + 2*l**5 = 0 for l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dzp when three letters picked without replacement from pdpdpdddddzddddppd?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3\/9*-3*(-1)\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -81 times -0.077?\nAnswer: 6.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -4. Let f(i) = -i**3 + 5*i**2 - 3*i - 1. Determine f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 743*p = 2*c + 742*p - 14, -5*p - 37 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + -7 - (-42717 + 121) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -9*i**2 + 4*i**2 + 25 - 9*i + 7*i**2. Let m be v(10). Calculate the highest common divisor of 27 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -302 + 299. Suppose 0 = -5*m - 3*p, 0*p = -2*m + p. What is the fourth smallest value in -2, m, -5, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 - a**2 - 8*a + 38. Let d(i) = 6*i + 7. Let s be d(0). What are the prime factors of f(s)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pfpll. What is prob of sequence pfp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*1)\/sqrt(8) + sqrt(11)*2*3.\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/3))**(9\/5)\/(o\/(o*o\/(((o\/(o\/(o*o**(-5)*o)))\/o*o)\/o))*(o**(-4)\/o)\/o)*(o\/(o**(-1\/4)*o))**(21\/4)\/(o**(-1\/2)\/o)**(10\/9) assuming o is positive.\nAnswer: o**(3067\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(4\/(-8)*-2)\/((-202)\/(-2525)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + 101010001010001001110?\nAnswer: 101010001010001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(13) + 3 + sqrt(13))**2 - ((-1*sqrt(13) + sqrt(13) + sqrt(13))*2)**2.\nAnswer: -174 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -808*m - 454 = -711*m + 1746 + 904 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 583 + 576 + z - 1158. Let h(q) = 4*q - 6. What is -h(o) - 3*r(o)?\nAnswer: -7*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3062.78 and 9?\nAnswer: 27565.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1568 and 8576?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7784878 and 168266.\nAnswer: 3434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.165003651 rounded to 2 dps?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of -1 + 3 + 5 + h**2 - 3. Let o(y) = 3*y**2. Give f(o(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -23545331413 - 3?\nAnswer: -23545331420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -39 (base 11) to base 12\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*z - 282 = -108*z. Factor -12\/11 + 2\/11*b**z + 10\/11*b.\nAnswer: 2*(b - 1)*(b + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.3?  (a) -5.6  (b) -5  (c) 2\/45  (d) -1  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 4, -4, 181 in ascending order.\nAnswer: -4, -1, 4, 5, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-37)\/592*4\/2\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.17551 months to decades.\nAnswer: 0.11812925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-1 - (1 - 20 - (-1 + -5)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the second derivative of x**3\/6 + 9*x**2\/2 + 6*x. Let j be l(-10). What is the units digit of j\/((-53)\/13 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -22307328 and -22307328 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 16*z + 145. Let i be p(24). What is the greatest common factor of 65 and i?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4476*l**2 - 631115*l + 141 = 0 for l.\nAnswer: -141, 1\/4476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ga when two letters picked without replacement from {a: 1, u: 6, l: 6, k: 1, g: 5}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 25\/(-2) + (27783\/(-98))\/(-189)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -6*c + 234. Let m = c - -14. Let q be 580\/25 - 2\/10. Calculate the highest common factor of m and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 5*h**2. Let l(a) = -4*a**2 + a - 1. Let s(c) = -3*b(c) - 4*l(c). Let u = -2 - -5. Let v be s(u). Which is bigger: 3\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28743 + 29095. What is the highest common factor of 1568 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/10486 and 25\/343.\nAnswer: 73402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*v - 1924 = -2*q, -28 = -70630*q + 70628*q - v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - -5) + 1 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (5886\/(-2196))\/(0 - -81) and 91\/12.\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 405, 343, 293, 261, 253, 275, 333, 433?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 326734 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 20 = b, 3*b + 8*q - 3*q = 62. Suppose 24*g - b*g - 255 = 0. Suppose 0 = -8*t + 141 + g. Which is bigger: t or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - 2)*(-3 + 4 + 0) - 6 + 2 + 3 + 1 - 3 + 4)*(-4*t**2 + t**3 + 4*t**2).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14\/3 + -5. Which is the fourth biggest value?  (a) 2  (b) 0.4  (c) 0.5  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 498589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 2)*(-16*l + 15*l - 4 - 1).\nAnswer: -4*l - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02768 rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -6*h + 111. Let b be v(18). What is the second smallest value in -2\/5, 0.1, b, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 484063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-368)\/690*3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5662091863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 - 15. Suppose -16*c - l = -20*c. Solve 6*z = 4*z + c*g - 21, 3*g - 24 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -60 + 132. What is the lowest common multiple of (-4)\/(-16) + 22422\/808 and o?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 20\/11, -3\/2, 2\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 590 - 590.04. Which is the second smallest value?  (a) -0.5  (b) -0.4  (c) -0.1  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66012*g**2 - 32391*g**2 - 33736*g**2.\nAnswer: -115*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 110 (base 3) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6566705329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2 - 3175*b + 2. Let t(z) = -63*z + 1. Determine t(u(v)).\nAnswer: -126*v**2 + 200025*v - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -17985  (c) -290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 + 36. Let h(n) = n + 11. What is the remainder when 80 is divided by h(s)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -159135.2232597 and 0.18.\nAnswer: -159135.0432597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-3094)\/(-315) - 9) + 2\/(-9). What is the nearest to 0.2 in -22, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 PM and 1:16 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r + 5. Let s be w(-10). Suppose -p + 2*t = -0*p + 12, -5*t + 15 = -p. Let v = p + s. Solve -v*k = -3*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 2*m**3\/11 + 2402*m**2\/11 - 4810*m\/11 + 2406\/11 = 0.\nAnswer: -1203, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - 8*k**2 + 4*k + 24. Let b be h(7). Suppose -4*w = x - 17, -2*w + 13 = -2*x + b*x. Solve -2*o = -1 + x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*l - 12*l + 25*l + 2*l**2 - 12 - 10 to o + u*l + m*l**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -2) + 0 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/87*(8\/(-2) - (-10521)\/1837) and -49\/116.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.460418l in millilitres?\nAnswer: 460.418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.5 and 1523064.\nAnswer: 1523062.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 435*l**2 + 117*l**2 - 68*l**2 - 19 + 19 to the form t*l**2 + f*l + h and give t.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0+478.4\nAnswer: 478.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b4 (base 13) to base 9\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 15869059, 15869060, 15869061, 15869062, 15869063?\n\"Answer: s + 15869058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (228 - 33*y**2 + 2*y**2 - 43*y**2 - 236)*(-3*y + 4*y + 0*y).\nAnswer: -74*y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (262*v + 28*v**2 - 262*v)*(-16*v - v - 19*v) to x + r*v + m*v**2 + b*v**3 and give b.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -314*j - 5814 = 280*j - 823*j + 280*j for j.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*q + 1218 = 122*q - 5*q + 5475 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28)\/(-63))\/((-14)\/(-9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1 and -23050341.\nAnswer: -23050340.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 228132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -75*l + 73*l + 70*l + 1200 - 73*l in the form z*l + p and give p.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the first derivative of -2\/5*a**5 - 1\/6*a**6 - 1\/4*a**4 + 0*a + 0*a**3 - 7 + 0*a**2. Determine l, given that s(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33117342 or -33117334?\nAnswer: -33117342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -326, -464, -602, -740?\n\"Answer: -138*n - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 11:53 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 797 is divided by 350?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 164 - 488\/3. Let g = -6 - -7. Which is the closest to -2?  (a) d  (b) g  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 1\/2, -2\/17, -5, 84?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) + (1*sqrt(180))\/sqrt(9))\/(-6*(-2*sqrt(2) + sqrt(2))))\/(-4*(sqrt(242) + sqrt(242) + sqrt(242)*-2 + sqrt(242))*-5).\nAnswer: sqrt(5)\/660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004875 rounded to four decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 230646?\nAnswer: 461292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146 = 9*b - 11*b. Let l = 30 + b. Let j = l + 50. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-150)\/100)\/1)\/(((-129)\/2)\/1).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4716769 - 131?\nAnswer: -4716900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.56 - -8.54407. Round w to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 2*l + 3. Let v be h(-2). Let p be 30\/8 + (-12)\/16. Solve 0 = p*a - 6, 2*z + v*a - 4*a = -2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2314741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3*z - 2 + 2)*(0 + 1 - 2) - 2*z - 4 + 4)*(-1 + 4 - 5) + (-7*z + 10*z - 11*z)*(-4 + 2 + 1) to the form j + i*z and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00015587 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 179 and 1391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 2513170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.53, 2\/53, -4, -89, 2\/13, 1 in descending order.\nAnswer: 1, 2\/13, 2\/53, -0.53, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 959, 2467, 4967, 8447, 12895?\nAnswer: 18299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -297, -670, -1045, -1422?\n\"Answer: -b**2 - 370*b + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2708546 and -7.\nAnswer: -18959822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-2))\/(252\/72).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1020042123 (base 5) to base 16.\nAnswer: -203aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -14, -24, -32, -38?\n\"Answer: c**2 - 13*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 154382812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 10, 20, 36, 58?\n\"Answer: 3*k**2 + k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 - 20. Let g = p - -11. Suppose x + 3 = g*k - 16, -4*x + 36 = 2*k. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2023 = 2008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -9. What is the units digit of 28 + 1\/((-1)\/c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -5*a**3 - 8*a**3 + 1 - 9*a + 10*a. Let i = 33 + -34. Calculate f(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.024534 to four decimal places.\nAnswer: -0.0245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 155641514 to the power of 1\/2, to the nearest integer?\nAnswer: 12476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 70 and 480?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -4*r + 5. Let h be q(4). Let c = -7 - h. Factor -10*u**2 + u**3 + u**c + 10*u**2.\nAnswer: u**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from axxtxaaxaxxxaaxtxxx.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 0.3, 1.1, -6, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 0.0909089  (c) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nhh when three letters picked without replacement from {h: 3, s: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o = a - 12*o - 42, -126 = -3*a - 5*o. Which is bigger: 40 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35528 is divided by 2214?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b - 4*g = -16, 0 = -603*b + 606*b + 5*g - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 37*v + 1. Let k be b(1). Suppose 3*n + k = 4*a - 177, -103 = -2*a - 3*n. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1027*k**2 + 904*k.\nAnswer: -2054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.1 - -0.1. Let m = q - -1. Let b be -4*1\/1 + 0. Sort m, 0.1, b in descending order.\nAnswer: 0.1, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 + 0 = 4*g. Solve 5*j = n + j + 25, g = -5*n + j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*l + 26*l + 20. Let y(k) = -4*k - l*k + 3*k. Determine y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 2*o + 12. Let k be (-24)\/(-8)*(-8)\/o. What is d in -7*d + 2*d**3 - 8*d + 13*d - k - 4*d = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - -1) + (1 - 7). Let n = -7 - -8. Suppose -3*x - w + 2*w + 17 = 0, 25 = -5*w. Put n, x, o in decreasing order.\nAnswer: x, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(1008)*-1 + -1 + sqrt(1008) + -2)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of 3*a + 0 + 5\/2*a**2 - 1\/4*a**4 + 0*a**3. Let i(r) be the first derivative of o(r). Let v(n) = 2*n. Calculate i(v(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 24 = 2*c - 2*z, 4*c - 9 = 5*z. Let o be 21\/(-14)*(-8)\/c. Solve i = o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d + t + 11, 0 = -5*d - 5*t + 10 - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/54713941 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 961*i + 2.\nAnswer: 961*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 235*r**6 + 15*r**5 + 4975*r**3 - 2523*r**2 + 78*r wrt r.\nAnswer: 28200*r**3 + 900*r**2 + 29850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 8. Let q = y + 2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 320 + -294. Let b = 272 + h. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 10.3, -0.2, -2\/17, 3.\nAnswer: -0.3, -0.2, -2\/17, 3, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1719)\/15 - 15\/(-25). Let c = v + 14. Is 13 a factor of (c\/(-6))\/(4\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49062, 49083, 49124, 49191, 49290, 49427, 49608?\nAnswer: 49839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/2  (b) 2\/7  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 638 is divided by 121?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 + 2*h - 4. Suppose 4*v - 2*y = 26, 8 = -2*v - 3*y + 1. Suppose -v - 4 = -2*p. Calculate the least common multiple of p and o(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 1198*w. Let r(v) = v. What is u(r(m))?\nAnswer: 1198*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 599 - 5903\/10. Find the common denominator of -33\/4 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**2 + 580057 + v - 2*v - 579588 as j + f*v**2 + b*v and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -4*p + 38, p + 0*h = -2*h + 22. Suppose -2*d = -0*d + 2*u - 20, -u - 44 = -5*d. Suppose -d*b = -p*b + 105. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42 (base 7) to base 16\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1839 + 2578. Differentiate -15*j + 619 + 114*j - i wrt j.\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 4*j - 1, 3*l + 2 = 5*j + 5. Suppose j*z - 2*d + 8 = z, 2*d = -5*z + 8. Solve 4*f - 2*k - 14 = z, -7*k + 3*k = -3*f + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x**4 - x - 1. Let q(f) = -f. Let d(r) = 3*b(r) - 3*q(r). Find the first derivative of d(u) wrt u.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of h**4\/4 + 4*h**3\/3 + 2*h**2 + 6*h + 18. Let l be x(-3). Is 21 - (-5 - (0 - l)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -174 + 396. Is r a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87262.\nAnswer: 2, 7, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000098 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 10 = -2*q. Is -17*q\/(-9)*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 22 = -114. What is the units digit of y*3\/18*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -119618?\nAnswer: -119615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -7. Let r = u - -4. Let v be 2\/24*(-2 - -5). Which is the closest to r?  (a) v  (b) 1\/3  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llkaallklapalak. What is prob of picking 1 p, 2 k, and 1 l?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -91*m + 2 + 2*m**2 + 94*m + 2*m**2 + (-5 + 5 + 2*m)*(-m + m + 2*m) + (14*m + 10*m - 2*m)*(m + 2*m - 4*m) to x*m**2 + r + f*m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 3:29 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36 is divided by ((-6)\/(-1))\/((-2)\/((-60)\/9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yffkkffi. What is prob of sequence yki?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 32908483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -664\/9 and 2.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5788, -7263, -9706, -13105, -17448, -22723?\n\"Answer: 2*f**3 - 496*f**2 - f - 5293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/25)*f)\/f**9*(f**(-2\/7)\/f)**2 assuming f is positive.\nAnswer: f**(-1864\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 104, 102, 100, 98, 96?\n\"Answer: -2*x + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of 56 - 69\/2*w**2 + 61*w. Find the first derivative of v(h) wrt h.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507131725.\nAnswer: 5, 293, 69233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22111\/6 + 3696. What is the common denominator of -94\/15 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -987*q - 1326 = -1000*q. What is the remainder when 713 is divided by q?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 4*h - 26, -18*h = 5*i - 23*h + 55. Let b(j) = 2*j - 3. Let x(s) = s**2 + s - 1. What is i*x(t) + b(t)?\nAnswer: -3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -160*d + 2. Let s(a) = 320*a - 4. Determine -3*s(c) - 5*x(c).\nAnswer: -160*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 3:06 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most 1\/8326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2838, 11392, 25682, 45708, 71470, 102968?\nAnswer: 140202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10 + 4*(-65)\/26. What is the third biggest value in b, 286, 3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28 - 28.17. Let l = u + -0.33. Which is the closest to -2?  (a) 6\/5  (b) -1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 19 = 2*o. Suppose c = 3*x - 12, -5*c + 109 = 5*x + 49. Let j(r) = -15*r**2 - 3*r - 12*r - 2*r. Let q(g) = -8*g**2 - 9*g. Give c*j(w) + o*q(w).\nAnswer: -2*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2071974821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 344 a factor of 298069464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/90 and -37\/137970?\nAnswer: 137970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -b**2\/2 + 4*b + 6. Let w be j(0). Suppose w*y - 5*y = 5*k - 26, -k = -5*y. Solve -y = -5*o + 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from drdmcruus. What is prob of picking 1 s and 2 d?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22\/3, 54\/41, 18, -42.\nAnswer: -42, -22\/3, 54\/41, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q\/(q*q**(3\/13))*q*q)**(-28\/9) assuming q is positive.\nAnswer: q**(-1372\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 267852 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -103424 + 10?\nAnswer: -103414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, -1129, 31.\nAnswer: -1129, -1, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*z - 44 = 12*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9664 - 9662.0954. Let y = -0.0176 + k. Let d = 2.03 - y. What is d rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 3*l + 216 = 0. Let p(j) = -26*j + 27 + 62*j - l. Let s(o) = -o**2. What is s(p(t))?\nAnswer: -1296*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.044 times 0.05\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10503562 is divided by 678.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(1008) + -2 - sqrt(1008))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 4:06 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 4:46 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -155*t + 928. What is the hundreds digit of p(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 13 - (7 - 5)) + 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1210 (base 3) to base 5\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/((k\/((k*k**1\/k)\/k))\/k))\/k**(-6))**(2\/61)*((k*k*k*k\/(k\/(k\/(k**(2\/7)*k*k)*k)))**(-7))**(-2\/35) assuming k is positive.\nAnswer: k**(2808\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 520 a factor of 871520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -6338\/363 greater than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 - 4*n + 7. Suppose -12 = -4*g + 44. Suppose -s - 2*p + 76 = -5*s, 46 = -2*s - 3*p. Let d = s + g. Determine a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - z - 3*z + 30, -u + 5*z = 13. What is the units digit of (u*4)\/(-5 + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2 + 3 + 2*b**2 - 3*b**2 - 2. Let d(t) = 20*t**2 + 24. Let q(c) = d(c) + 24*n(c). Let o(a) = 0*a + 4*a + 2*a. Calculate o(q(x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-10 - 1) - (-31 + 36 + 25).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -126*v - 7. Is m(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27 - 25. Does 9 divide (n\/(-4))\/((-4)\/296)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of 0*k - 22*k**2 + 0 + 1\/240*k**5 + 0*k**4 + 0*k**3. Factor j(h).\nAnswer: h**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 58*y + 58*y - 3*y**3)*(2*y - 7*y + y).\nAnswer: 12*y**4 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 550022266 to the nearest integer?\nAnswer: 23453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-367)\/367*2\/(4\/2). Which is the nearest to k?  (a) 4  (b) 217  (c) -1\/5  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3479 - 135*z**3 + 3479 + (5*z**3 - 2*z**3 + 0*z**3)*(-3 + 3 - 2) + (-z**2 - 2*z**2 + z**2)*(-3*z - z + 3*z).\nAnswer: -139*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gng when three letters picked without replacement from {g: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 298, 591, 884?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 31767*f. Let k(r) = -10*r. What is k(w(g))?\nAnswer: -317670*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 410998594.\nAnswer: 2, 205499297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11615 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -146 + 89. Let x = d + 145. Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 67*m**2 - 3*m + 11. What is x(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20 - (2 + -1)) + -111 + 69.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -26\/63 + -137\/126. Put -0.5, 4, 1\/4, g in descending order.\nAnswer: 4, 1\/4, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/9, 5\/2, 3, 25 in decreasing order.\nAnswer: 25, 3, 5\/2, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -3850473000 to the nearest one million.\nAnswer: -3850000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3064c7 - -4?\nAnswer: 3064cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 x when four letters picked without replacement from {o: 7, x: 1, y: 6}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 645615 = -57*i + 645273 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 1 - (0 - (3 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132\/2871*68\/51*3\/(-8).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -0.31, -13, -5?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 96 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (75\/180)\/((-15)\/(-9)). What is the nearest to i in 4, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11956*w**2 + 20558*w**2 + 3 - 4 + 4*w**2 - w**2 - 5*w**2 + (2 - 1 - 2)*(0*w**2 + w**2 + 0*w**2).\nAnswer: 8599*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.8578 and 436.8?\nAnswer: 435.9422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 259144 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 6*d + 2. Let v be (-2 + 3)\/(1\/(-6)). Let a be c(v). Suppose -a*b + b = -6. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + -272. Let f = 951 + g. What is the greatest common factor of f and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 15 = -23. Solve 0 = -2*l + m, -l + 0*l = -u*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 5*z + 0*z)*(-23 + 12 - 10).\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 4*m**2 + 0*m**2 - 7*m**2 + m**3 + 4*m - 3. Let z be n(2). Let t = -2 + 1. What is the second biggest value in t, 0.01, z?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 5*x**2 - x. Calculate i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.75 <= -111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.01 in -5, 5.2, 3\/5, 207?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 25, 2, -1 in descending order.\nAnswer: 25, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 99898624 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -493*y + 498*y = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/((-48)\/(-20) + -2). What is the third derivative of 3*r**u + r**2 - 2*r**5 + 2*r**2 - 2*r**2 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 178809*r. Let f(n) = 5*n**2 + 3. Calculate f(p(i)).\nAnswer: 159863292405*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 4*d + 15, -6 = -0*d - 3*d + 2*m. What is the remainder when 678 is divided by (10 - 3) + (2 - 1) + d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (14\/6 - 2) + 11800\/1104 + -10. Which is greater: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6307941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -4355200 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from efzjczzezzzccjgcjzzc. Give prob of picking 1 z and 1 e.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1126033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/32400 and 139\/2376?\nAnswer: 356400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q**3 + 42*q**2 + 49*q - 193. Let x be d(22). Put -3, 0, x, 4, 3 in decreasing order.\nAnswer: 4, 3, 0, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1129045.\nAnswer: 5, 225809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -247945 divided by 2917?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 divided by -20.\nAnswer: -13\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 14 = -3*u, -18 = 2*v - 8. Calculate the smallest common multiple of 24 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 1 - 4. Suppose -17 + w = -4*t. Solve -12 = -4*k - t*j, 0 = 2*j - 0 - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 20*m - 84. Let a be f(-14). Which is smaller: a or -3\/146?\nAnswer: -3\/146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x*x\/(((x\/(x**5\/x*x))\/x*x)\/x)))*x**(-1\/16))\/(x**(2\/23)\/x*x\/(x*x*x**(-2\/33))) assuming x is positive.\nAnswer: x**(106745\/12144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**2 - 18545402*k\/5 + 741816 = 0?\nAnswer: 1\/5, 1854540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 3*w + 4. Let b(v) = 4 + w*v - 3*v + 0*v**2 + v**2 - 6*v. Determine b(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 235*f + 8213 - 693 = 0 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/9  (b) -0.4  (c) 6.721\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*u**3\/15 - 68128*u**2\/5 - 435167598*u\/5 - 1305298418\/15 = 0. Calculate u.\nAnswer: -25547\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 57 = 5*a, 45 = -0*a + 5*a + 5*w. Suppose 0 = -2*i + a - 2. Suppose i*j + 4*l = 303, l - 5*l = -j + 75. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 20 = -4*p, 48*p + 5*s = 51*p + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3 = 3*r. Suppose d + 5*y = -3*d + 55, -r*d = y - 44. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of -1\/10*f**5 + 0*f + 0*f**4 + 0*f**3 + 0 + 11*f**2. Let p(t) = t**2. Give n(p(w)).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4651.\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-146)\/(-30) - 12\/(-90). Let v(d) be the second derivative of 5*d**4\/12 - d**3 + 17*d**2\/2 + 4*d. Is v(i) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 992566.8 decades to millennia.\nAnswer: 9925.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 9*y + 13. Let f(b) = 7 + 17*b**3 - 18*b**3 + 2*b - 7*b**2 - 2*b**2. Let t be f(-9). Let u(h) = 5*h + 7. Give t*u(m) + 6*s(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*-1 - 15\/(-2)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 122856.\nAnswer: 368568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6213161 is divided by 2071053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 7, b: 6, s: 1}. What is prob of picking 2 g?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/11 and ((-24)\/(-210))\/(333\/(-360)).\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of -l**4\/12 + 2*l**3 + 14*l - 20. Let m(k) be the first derivative of u(k). Determine m(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/162837 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 674007.3t to milligrams.\nAnswer: 674007300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 169599700 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 391254 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 31192, -3, -15 in increasing order.\nAnswer: -15, -3, 3, 31192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 74256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 15830688\/13 equal to 1217746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 210 by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 32 = 18. Suppose x*r - 25 = 4*j, 4*r - r - 37 = -2*j. Solve -21 = 3*g - 2*o, g - 4*g - 2*o = r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -10001111?\nAnswer: -10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -254 = 5*i - 4. Let a = i - -53. Solve -a = 3*h + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26 + 6*h + 26.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 7) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43522*j - 47738*j + 91535*j.\nAnswer: 275*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 989 divided by -233?\nAnswer: -989\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {v: 11, y: 9}.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(224) + sqrt(224)*2 + sqrt(224) - 1*(sqrt(56) + sqrt(168)\/sqrt(3)))\/(6*sqrt(288)*-1 + 5*-1*sqrt(288)).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -82\/85?  (a) -0.1  (b) 4\/3  (c) -2022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -5*u + 13 - 4, -f = -3*u + 23. Let g be (0 - -4) + (-102)\/6. Let n = f - g. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of 5*t**4\/12 - 4392*t. Let n(p) = 3645*p. What is s(n(o))?\nAnswer: 66430125*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -521927 or 3245?\nAnswer: -521927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7691753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 445 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 51*o*w**4 + o*w**3 + 24*o*w**2 + 930*o*w + 2*o + 29*w**4 + 2*w wrt w?\nAnswer: 1224*o*w + 6*o + 696*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7478*n**2*s**2 - n**2 + 2*n + 23*s + 136 wrt s.\nAnswer: 14956*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 4*t + 32 = 2*a, 3*t + 6 = a. Suppose 1 - 37 = -3*j. Suppose 0 = -8*k + a*k - j. Solve 7 = k*s - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -j - 5 + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-2) + (-20)\/15. Let q = 1.5 + -1.8. Which is the nearest to -1?  (a) u  (b) 5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 740*f**2 + 356*f**2 - 225*f**2 as j*f**2 + b + r*f and give j.\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*c**3 + 14 - 11*c**3 - 8*c**3 - 14.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.7 in -2\/27, 3, -4329\/8?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 187\/12, -14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 8:05 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qtettqeqqrp. Give prob of sequence rp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -11152, -22182, -33088, -43870, -54528?\n\"Answer: 62*p**2 - 11216*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.027 + -0.127. What is the nearest to b in -3, -1\/8, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 101*t**6 - 155*t**2 + 7*t + 138. Differentiate g(y) wrt y.\nAnswer: 12120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.01 and -43071603400.\nAnswer: -43071603399.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*j + 58*j - 1750 = 0. What is the lowest common multiple of 70 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 5:56 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 34 - 36 = 0. Suppose 2*t = -5*t + g. Suppose -7*s = -9*s - t*i + 314, -773 = -5*s + i. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1272045 is divided by 211841.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2 + (-1*(-2 + sqrt(2299)) - (-1 + sqrt(2299)*3))*3))**2 + 1.\nAnswer: -1848*sqrt(19) + 331106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 6) in base 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -82943531, -165887063, -248830593, -331774121?\nAnswer: -414717647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9132363 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 3*z - 4*z**2 + z**2 - z - 7. Let c = 1 + 0. Let w(j) be the third derivative of -j**5\/60 - j**3\/6 - 2*j**2 + 86. What is c*h(p) - 5*w(p)?\nAnswer: 2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-30)\/8)\/((-4)\/16). Let p = u + 9. Let c = p + -17. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -3, 2\/5, -8, -4, 366, -0.02?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3014 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwmmwwmmwwwwm?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-2 - 6 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 3*t - 12, -7 - 9 = 3*k - 4*t. Suppose k = 8*z - 3*z. Solve w - 4*x = -20, z = -4*w + 5*x - 5 - 31 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 4  (b) -0.077  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 7:27 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 53.13963 grams?\nAnswer: 53139630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -916 divided by -26.\nAnswer: 458\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -14*h - 146. What is a(-14)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 478 + -475. What is the hundreds digit of 1827\/(-42)*(-8)\/z - 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 7*y - 2. Let z(d) = 28*d - 9. Determine -9*c(b) + 2*z(b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 264a6 + -80?\nAnswer: 26426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 7*l - 33. Let z be x(5). Is (z - 0) + 0 + 8057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -8. Let b be 15\/6 + 1 + u. Let y(d) = d**2 + 2*d - 2. Let m be y(-3). Is b equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 90\/119 - 8\/17. What is the fourth biggest value in -2\/13, 0.3, 5, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 890949809?\nAnswer: 43, 20719763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20 - -29. Let t = 72 - s. Let f = t - 63.000027. Round f to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 9205 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00650049 to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80179?\nAnswer: 11, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -0*c, 0 = -11*w + 8*w - 3*c + 3093. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-18)\/(-5)*(-215)\/(-2)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 558 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -3*h**2. Let r(b) = -913*b**2. Calculate y(r(n)).\nAnswer: -2500707*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmsphpmhmmlil. Give prob of sequence ml.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1330 (base 6) to base 3.\nAnswer: 110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (6 - (1 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 + 2*f - 3. Suppose 11*y + 17 = 3*t + 15*y, 0 = -2*t - y + 8. Determine b(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*l + 0*l + 3*l)*(-5 + 3 + 3)*(l**3 + l**3 + l**3) to f*l**2 + w*l + h*l**4 + g*l**3 + j and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/15*(-10)\/4. Let t = -343 + 340.87. Let y = t + 4.13. Sort o, y, 5\/2.\nAnswer: o, y, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(-2)*(-28)\/(-21). Let h(y) = -y. Let a be h(m). Suppose 5 = v + a. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: c (base 13) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 920*t - 12. List the prime factors of k(1).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292*t = 285*t + 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/9)\/(16324\/5445 + -3). Calculate the greatest common factor of 88 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1462.143 to the nearest 10.\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -2\/243?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, w: 2, g: 1, r: 3, p: 1, b: 1}. What is prob of picking 1 g and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7795351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**3 - 22971*w**2 + 1168640*w + 6417600 = 0. Calculate w.\nAnswer: -5, 56, 22920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = g + 294. Let k = 427 - g. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -784b3 - -12?\nAnswer: -784a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.04 and 674.\nAnswer: 673.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1104962387 - -9437483780537\/8541. Let c = k + 5\/949. Find the common denominator of -48\/5 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 770 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 16 - (108 - 124 - -38)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 477?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*d - 3*o = 6, 4*d + 3*o = 3. Suppose 3*u - p - 40 = 0, -d*p + 2 = -5*p. Solve -7 = 5*k + u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l**3 - 34*l**2 - 70*l + 162. Give p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 11, g: 5}. What is prob of picking 1 t and 1 g?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011101001000000111 - -100011111?\nAnswer: 11011101001100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 140 = 13*m, 256*w + 59 = 5*m - 208*w + 460*w for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3991.62263714268 - -0.2\nAnswer: 3991.82263714268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssuxsxxss?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -6c88 (base 15) to base 10\nAnswer: -23078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 16*j**2 - 177*j + 11. Give d(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, t: 7, d: 3, k: 7}. Give prob of picking 1 d, 1 t, and 2 k.\nAnswer: 147\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -230*c**3 + c**5 - 124 + 230*c**3 + (-2*c + 2*c + c**4)*(4*c - 2*c + 0*c).\nAnswer: 3*c**5 - 124","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 10*(-3)\/(132\/4)*550\/(-200)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + o = -5, -o = -3*s - 0*s + 11. Let k = 4\/9 + -1\/9. Let w be (-15)\/(-2)*(-10)\/(-15). Which is the closest to k?  (a) 0  (b) s  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 256 - 3?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 22448035 to the nearest 10000.\nAnswer: 22450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45580 and 4770?\nAnswer: 410220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 623822, 1247651, 1871482, 2495315, 3119150, 3742987, 4366826?\n\"Answer: c**2 + 623826*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*j - 5*m + 7, 5*m - 25 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 90323, 184461, 278599, 372737, 466875?\nAnswer: 561013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 PM and 1:14 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1101201220 (base 3) to base 12.\nAnswer: -13b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {o: 1, m: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 4*m + 257. Let v be h(-18). Sort v, 64, -4.\nAnswer: -4, v, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -48 - 100. Let d = k - -148.0000077. Round d to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -485, -3972, -13445, -31898, -62325?\n\"Answer: -499*w**3 + w**2 + 3*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-12)\/27)\/((-4)\/(-3)))\/(91\/117)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((-2*sqrt(1584)*2 - sqrt(1584)) + sqrt(1584) + 1*(-1 + sqrt(1584))))**2 + -4*(sqrt(121)\/(2*sqrt(11)) - (sqrt(11) - (0 + sqrt(176)))**2).\nAnswer: 70*sqrt(11) + 14653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -47163\/5233 or -10?\nAnswer: -47163\/5233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -79932.091 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-4 + -3 + -4*3*sqrt(162)) + 0)**2.\nAnswer: 1512*sqrt(2) + 23377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 24\/23  (b) 3\/2  (c) 0  (d) 4  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12221 - -2300120?\nAnswer: 2221233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 11) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**2. Let o(r) = -130*r + 5. Let c(w) = 84*w + 2. Let i(n) = -c(n) + o(n). What is i(j(z))?\nAnswer: 428*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -962*d**3 + 1928*d**3 + d**2 - 967*d**3 - 27. What is v(0)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4925*x**3 + 88*x**2 + 2*x - 617471.\nAnswer: 29550*x + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*z - z + 3*z)*(-3 - 2 + 3)*(2 - 3*z - 2) + (2*z - 2*z - z)*(z - z - z) to o*z**2 + v + f*z and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of l**6\/15 - 8*l**5\/25 - 3*l**4\/5 + 64*l**3\/15 - 7*l**2 + 24*l\/5 + 1139. Factor p(h).\nAnswer: 2*(h - 4)*(h - 1)**3*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170*r = 158*r - 72. Let o = -11 - -7. Let s be (o\/r)\/((-10)\/(-75)). Solve s = 2*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/33?  (a) 733  (b) -1  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42506722 (base 8) to base 3.\nAnswer: 122002022210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2471*k**4 - 2*k**3 + 8383.\nAnswer: -9884*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -21052693 from -1.116.\nAnswer: 21052691.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -5*t**2. Let a(d) = 11*d**2 - 7*d + 299. Let s(q) = 5*q**2 - 3*q + 144. Let o(k) = -3*a(k) + 7*s(k). What is j(o(u))?\nAnswer: -20*u**4 - 2220*u**2 - 61605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(4*2*sqrt(3) - sqrt(3))*-5)**2 + 3.\nAnswer: 33078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 3*n - 26. Let x be m(14). Let k = x + -3. Calculate the highest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -24665 and -24529 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -79.9 take away 7?\nAnswer: -86.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1625, 0.3, -2\/17 in ascending order.\nAnswer: -2\/17, 0.3, 1625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 117992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0939*15.\nAnswer: 1.4085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + -1. Let l = -1582359\/358 + 4420. Let k = -1441\/3222 + l. What is the closest to z in 3, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 150239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 PM and 8:18 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - 11. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -0.4, 26\/49, 3, -3 in decreasing order.\nAnswer: 3, 26\/49, 0.4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1258353 and 184?\nAnswer: 10066824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, k: 1, u: 4, r: 3}. Give prob of picking 1 r and 2 u.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5624552 (base 7) in base 9?\nAnswer: -1270085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 46, 1, 2\/3, -0.13, -10, -486, 3?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 (base 14) in base 16?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 p when three letters picked without replacement from {l: 4, p: 8, r: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - g = i + 40, 0 = 3*i + g + 40. Let a be 0 - 84\/i - (-16)\/40. Solve -a*k = 18 - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 + 9*l + 345. Let x be v(-14). Solve 0 = -5*u - 3*b - 10, 3*b = 4*u - 42 + x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 270519?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60 + 88. Suppose -3 + l = n - z, 3*n + 3*z - 63 = 0. Suppose 4*r - 3*m = n, 5*r - 42 = 5*m - 7. Solve -g + 3*g = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 93a - -6a7a0?\nAnswer: 6b2da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 217496 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 680 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3. Let w(d) = d - 5. Let v(j) = 7*r(j) - 4*w(j). Let k = -9 + -2. Let s(q) = 6 + 5*q + 10*q + 6*q. Calculate k*v(m) - 2*s(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (-275)\/(-22))\/((-54)\/(-108)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 0*z - 13 = -3*h, 0 = 2*h - 3*z + 3. Let b be (-63149)\/(-3) - h\/9. Suppose 56951 + b = o. Round o to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 470?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (15 - 22) + 25 + (0 - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000017495 rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 3 = -7*o. Let f be (-4*11)\/4*o. Let h = f - -37. Solve 0 = -0*p - 2*p - h*a - 6, -5*p - 4*a - 9 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 5*n = -0*v + 368, 2*v - 248 = 2*n. Suppose 8*k - 3*h + 96 = 5*k, 4*k - 5*h + v = 0. Let j = 57 - 91. Is k < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8790 divided by -6?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (245 - 961 - 1234 - 619)*(b + 0 + 0).\nAnswer: -2569*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -3. Let b(q) = q**3 - 7*q**2 + 8*q - 8. Let h be b(d). What is the first derivative of h*f - 3*f + 1 + 3*f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/2 + 143219566*o - 10255922042614178.\nAnswer: -(o - 143219566)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + (sqrt(88)\/sqrt(32))**2).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -0.1  (b) 8.8  (c) 3  (d) 4  (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 - a - 6. Suppose 0 = 4*s + 2*k + 28, 3*k = 4*s + k + 28. Let x(q) = -q**2 - 7*q. Let g be x(s). What is r(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 - -1 - 1071\/540. Let n(a) be the third derivative of 0 - 1\/12*a**4 + 0*a + 0*a**3 + s*a**5 + 2*a**2. What is the second derivative of n(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-112)\/(-35) - 3 - (-116)\/20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36*(-182)\/351*12\/14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3965196 is divided by 208?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 2 - 8 = 0. Let d be ((-4 - -3)*z)\/(1\/2). Solve -3*i - 4*n - 15 = 0, 5*i + n + d = -4*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001738 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(363) + sqrt(363)*-1)**2)*5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 283, -2166 in ascending order.\nAnswer: -2166, -1, 3, 283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) -1  (b) 10\/9  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -49, 1\/57, -22888 in descending order.\nAnswer: 1\/57, -49, -22888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by 181.\nAnswer: -9\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3589875?\nAnswer: 3, 5, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 146*-12.\nAnswer: -1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 2*i + 80, -2*x - i + 20 = -x. Let q = 1 + x. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8871764*h - 15588333.\nAnswer: -8871764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + 0*f + 0*f)*(3 + 4 + 1)*(4 + 2 + 6).\nAnswer: 192*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7\/((-35)\/(-4))*30. Solve -49*j - 3*j + 8*j - z + 4*j**3 - 16*j**2 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*u, 4*g - u = -3*u - 32. Let x(f) = 3*f**2 + 8*f + 7. Is x(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/(-6) - (-26)\/6. Suppose 4*q - 3*n - 11 = 2*n, -3*q + h*n + 9 = 0. Let d(w) be the second derivative of -w**3\/3 + 3*w**2 - w. Calculate d(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (20\/(-8))\/(-5)*(-16)\/68. Let f = 0.01 + -0.07. Which is the fourth biggest value?  (a) -4  (b) t  (c) -3\/7  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*t = -3541, 0 = 5*l + 5*t - 9317 - 8398. Is l a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(3\/2))**(-37)\/(((o\/(o\/o**13))\/o)\/o)**(-22) assuming o is positive.\nAnswer: o**(373\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2366452, 2366392, 2366330, 2366266?\n\"Answer: -u**2 - 57*u + 2366510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -178 - -533. Let l = 273 + d. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 398 a factor of 613318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-10)*0)\/((-25)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -3*s - 5. Let y be b(-8). Let j = -11 + y. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y. Let f(k) = 56*k**2 + k. Determine m(f(h)).\nAnswer: 56*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -370 + 366. Is ((-14)\/21)\/(b\/95514) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.277, -2\/3, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36340\/948 - ((-705)\/45 - -15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 55?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 122.95 - 126. Let h = 0.05 + m. Let y = -39 + 193\/5. What is the biggest value in 4, h, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -39a19 (base 11) to base 2\nAnswer: -1101111100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 47 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 18*j**3 + 9*j**2 - 2*j - 12. Let f(z) = -27*z**3 - 14*z**2 + 3*z + 19. Determine 5*f(p) + 8*w(p).\nAnswer: 9*p**3 + 2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*s = 23*s - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -26, -57, -88?\n\"Answer: -31*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 382426.\nAnswer: 2, 11, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand v - 4*v + 2*v + 5 + (-2 + 6 - 2)*(0*v + v + 0*v).\nAnswer: v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1167 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, p: 1, v: 2, f: 1, o: 2, s: 1}. Give prob of picking 1 p and 2 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*q - 6 = 0, q + 3 = 1. Let g be (x\/(-4) + 2)\/(-1 - -8). What is the nearest to g in -5, -8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 4*v = 21, 0 = p - 5*v + 11 - 1. Let o(l) = 2*l + 9. Let z be o(p). What is the least common multiple of 18 and (-3 - z) + 5 + 19?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y + 68. Let z be h(26). Let b be 4\/(-7) + 2544\/z. Is (-6340)\/b*7*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*f - 155*f + 55*f + 33*f + 34*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 187840 and 175680.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 5735*v + 0 + 1 + 0 + 1 - 5737*v. Let o(s) = 0 + s + 0 - 1. Calculate 6*c(n) + 11*o(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3 - (-1 - 2 - 592\/(-160)) and 13\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 1:47 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - a - 9. Let z be o(-4). Let y(x) be the second derivative of -x**3\/6 + 15*x**2\/2 + 7*x. Calculate the smallest common multiple of y(z) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/1 - 232\/100) + -2. Is j greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/879 or 698?\nAnswer: 7\/879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -q**3\/3 + 9*q**2 - 32*q + 40. Let m be p(16). Solve b = -m*b - 3*c + 1, -2*b + 4*c = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -52.4 - -50. Let k = p + 3.4. Which is the nearest to 0.08?  (a) -5  (b) k  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2232021332 (base 4) to base 5\nAnswer: 140311332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 4)*(8 + 5*z**4 - 8) + (5*z**3 + z**3 - 3*z**3)*(2*z + z - 4*z).\nAnswer: -23*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-246)\/4879)\/((-198)\/1122)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-363)\/(-33) - (-1)\/1. Suppose z = v - 66. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 7*q**3 + 5*q**2 - 19*q + 22. Let u(w) = 4*w**3 + 2*w**2 - 10*w + 9. What is -5*u(v) + 2*y(v)?\nAnswer: -6*v**3 + 12*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, a: 2, c: 5, i: 8}. What is prob of sequence ii?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 102280 by 2.\nAnswer: 51140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -789 divided by 150.\nAnswer: -263\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 11*x + 200. Let l(y) = y**2 - 9*y + 16. Let n be l(8). What is the greatest common factor of x and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -1\/6  (c) 3  (d) 2\/9  (e) -144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -11*a**2 + 4. Let g(w) = 57*w**2 + 18. Give g(u(x)).\nAnswer: 6897*x**4 - 5016*x**2 + 930","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 - 12 = 4*q - g, -3*q + g = -9. Let b(h) = -22*h**2 + 8*h + 2. What is b(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 6)*(n - 2*n - n) - n + 3 - 3 + n + 0*n + n + 3461*n + 1255*n + 187*n - 678*n.\nAnswer: 4230*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 141 + -93. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0115 + -47.2885. Let h = -47.2896 - l. Round h to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30794 divided by -85?\nAnswer: -30794\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34197.4 + -34197. Suppose 5*m = m. Suppose -4*j - j + 10 = m. Which is the nearest to j?  (a) k  (b) 2\/7  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, z: 8, f: 2, m: 4, t: 1}. What is prob of sequence ffzm?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -112221021 (base 3) to base 6\nAnswer: -122224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a4 - 18c297?\nAnswer: -18c35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 309 + 628. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 + x**2 - x - 1. Let i(q) = 3*q**5 + 3*q**3 - 2*q**2 + 3*q + 3. Let o(f) = -i(f) - 3*s(f). Find the third derivative of o(b) wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 6*q - 79. What is x(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 0.3, 0.92, -0.5, 12\/25, 1\/5, 3\/7?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - a + 2*l - 844 = 0, 20 = -5*l. List the prime factors of a.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-17)\/(-4) - (-9)\/12. Let n = z + -5. Sort 1, n, -4 in descending order.\nAnswer: 1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 3. Suppose 4*s = 15*s - 55. Suppose 4*l - s = c. Solve 0 = l*v + 5 + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -10*n**2 - 16*n - 10. Let z(u) = 2*u**2 + 3*u + 2. Suppose 3 = -5*g + 13. Determine g*m(o) + 11*z(o).\nAnswer: 2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 6*y + 6 + y**2 - y - 2*y**2 + 5*y - 8*y. Let h(g) be the second derivative of g**4\/12 - g**3\/2 - 7*g**2\/2 - g. Determine -2*h(w) - 3*q(w).\nAnswer: w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13\/(-65) - 212\/(-10) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98*j = -1467 + 14305. What is the remainder when j is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - x**3 + x)*(2 + 0 + 4) + x**3 + 0*x**2 + 0*x**2.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33 and 2275005.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -4*h + 6. Let d be w(-6). Let c = 232 + d. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -69*(-24)\/18*(-6)\/(-4). Let h = l - 142. Suppose 4 = -4*m - 0. Is h equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*n + (1 - n - 1)*(3 + 0 - 4) + (8 - 12 + 6)*(4 + 2*n - 4).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + -1. Let c be 5\/(r\/(-33)) + -1. Suppose d = -d - c. What is the closest to -1 in -2, 0.2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3494 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5247 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3 - (-1)\/(-6)*20)*-6. What is the greatest common factor of 228 and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4441033 (base 5) to base 6\nAnswer: -1355243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1942, -6071, -12958, -22603, -35006, -50167, -68086?\n\"Answer: -1379*h**2 + 8*h - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -187, -195, -209, -229, -255?\n\"Answer: -3*z**2 + z - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 AM and 5:43 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 2*w - 865, -4*n + 6*n + w - 337 = 0. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -70119 greater than -70122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 4*f + 1. Let s(n) = 3*n. Let c(q) = -4*h(q) + 5*s(q). Let k be c(-7). Find the third derivative of 0*u**2 - 3*u**2 + 2*u**2 - k*u**4 + 8*u**4 wrt u.\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*i + i**2 - 3*i + 4*i**4 + 2*i - 5*i**4 in the form t*i**4 + l*i**2 + n + j*i + d*i**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/(30 + -26) - -10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 5:08 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.12 + -25.12. Is -0.1 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 4 - 1)*(-3 + 2 + 8)*(s + s - s) in the form z + k*s and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33.926 + -0.074. Let d = k - -33.904. Round d to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17364641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 5*w**2 - 8*w + 13. Give g(6).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 338049 is divided by 145.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-6)*(-2)\/(-8)*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28843445 is divided by 28843420?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 4*q - 2 + 0*q + 4. Let y(z) = 5*z + 2. Let v = -9 + 2. Calculate v*m(f) + 6*y(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3431 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/64*6\/18.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4659 + 381 = 84*x. Calculate the smallest common multiple of 78 and x.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 499 + 2*y**3 + y**2 - 9*y - 238 - 262 to the form g + x*y + m*y**3 + f*y**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8.2 - -8.14. Let i = 332 - 75. Let t = i + -1802\/7. Is t less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/5 and (-6)\/9 + 0 + (-91)\/(-24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86710.2 millilitres in litres?\nAnswer: 86.7102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3070687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2540, 2386, 2232, 2078, 1924, 1770?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.15591 days in milliseconds?\nAnswer: 7789470624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 16*h + 4. Calculate w(-13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -146823*0.1644\nAnswer: -24137.7012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35400\/1888)\/(6\/(-8))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(6)*-1)\/sqrt(3) + ((sqrt(2) + (sqrt(18) + sqrt(2))**2 - sqrt(2))*-4 - (sqrt(72) + 0)**2) + 0 + (3*(sqrt(242) + -2))**2 + -3.\nAnswer: -401*sqrt(2) + 2011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -v*y + 517928*v - 159520*y wrt v?\nAnswer: -y + 517928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 4. Suppose 6*v + 4 = 2*v. Let s be (v*m)\/((-6)\/540). Calculate the highest common divisor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -7*l + 5. Let s(j) = 1 + 17*j + 26*j - 44*j. Give -k(z) + 6*s(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -175, -328, -481, -634?\n\"Answer: -153*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/17  (b) -14  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -37\/2 + 19. What is the second biggest value in -3\/5, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 8 = -2*d. Let p = 26 + d. Suppose -5*j = p - 39. What is the smallest value in j, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*s + 3*n = 146*s - 47, 18*s - 4*n = -54 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -2*w - 2, 0 = 4*j + 2*w - w - 12. Suppose j*o - 6*o + 196 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 7) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = d - 2*y - 4, -3*d - 4*y + 12 = 0. Suppose -d*f = -5*f. List the prime factors of -27*(-1 + f\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8909351?\nAnswer: 11, 29, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.6 - 1.2. Let r = 2.9 - f. What is the biggest value in 0.12, -1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 65, -3 in ascending order.\nAnswer: -3, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x + 7. Let g be f(-3). Solve 0 = 2*n - 6, c - 2 = -3*n + g*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 194481120 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108736 divided by -4.\nAnswer: -27184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2898.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 109891749319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 75*t + 90678*t**2 - 90681*t**2 + 0 to j*t + x*t**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 20*m**2 + 55*m + 13. Let y be l(17). Suppose -6 = -4*c - h + 308, -h = -c + y. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(5)*-6 - sqrt(6))\/(sqrt(200) - sqrt(200)*-3).\nAnswer: -7*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + 5*(2*sqrt(99) + sqrt(99)))\/(sqrt(108)\/sqrt(108) - sqrt(9)))**2 - (((sqrt(539) + sqrt(539) + -3)*-6)**2 + sqrt(539) + sqrt(539) + -1).\nAnswer: -71603 + 3010*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddeeedd. What is prob of sequence edde?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 PM and 5:01 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 2:18 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (8 - 12 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 17 and 81393013143.\nAnswer: 81393013160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202*b = -197*b - 50. What is the smallest common multiple of b and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 103291774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-286*i - 34949 + 34949)*(-145 + 11 - 71) as q + o*i and give o.\nAnswer: 58630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand q**3 - 7*q**3 + 3*q**3 + (3*q - q - 3*q)*(2*q**2 - 2 + 2) - 5 - q**3 + 5.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -5d (base 14) to base 11\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73 + 73 + 0*k**3 - 2*k**3 + 29*k + 5*k**3.\nAnswer: 3*k**3 + 29*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 - 17 = 9*o. What is the remainder when o\/((52\/30)\/13) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 794868 is divided by 1713?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 53 = -3*y, -3*y + 5*y = 6 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -2 + 9*x**2 + 5 - 2 + 2*x**3 - 3*x**3 - 8*x. Let y be j(8). Sort y, -2, -5 in ascending order.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i**5 + 5*i**5 - i**5 + (-i**3 - 2*i**3 + 2*i**3)*(-5*i**2 + 4*i**2 + 0*i**2) - 5*i**4 - 54*i + 2*i**5 + 54*i.\nAnswer: 4*i**5 - 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-3)\/15 + (-29)\/(-70) and -1\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -3*t**2 - 5*t - 5. Let q(v) = 2*v**2 + 3*v + 3. Let b(u) = 3*n(u) + 5*q(u). Let j(c) be the first derivative of c**2\/2 - 5. What is b(j(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1029ab (base 15) in base 2?\nAnswer: -10111011100100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.5 + 0. Let u = o - -1.4. Is u not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 (base 13) in base 11?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*c = 164 - 115 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 56\/12 + -1*(-4)\/(-6). Suppose -5*k + 63 = -n*q, 5*q = 3*k - 46 + 16. What is the greatest common factor of 105 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l = -4*m - 11*l - 83, 0 = 5*m + l + 25 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**2 + c + 6 + c - 8*c**2.\nAnswer: -10*c**2 + 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -6*l**4 - 5*l**3 + 6*l**2 - l - 2. Let f(i) = -i**4 - 2*i**3 + i + 1. Let y(g) = -25*g + 99. Let k be y(4). Let u(r) = k*d(r) + 4*f(r). Factor u(v).\nAnswer: (v - 2)*(v + 1)**2*(2*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + 63*4 - -4. Let f = -144 + d. List the prime factors of (3 + f)*(-2)\/(-4).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1664\/9 less than 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*-4*sqrt(104) - sqrt(104))\/sqrt(8) - (-4 + sqrt(325) + 0))**2.\nAnswer: -80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b, 2*b - 3*b - 60 = 4*d. Let l be (d - -8)*(1 - 0). Let k = l - -12. Solve k*f = -j - 12 - 9, 4*f + 3*j + 8 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30135147 (base 8) in base 14?\nAnswer: -bb02a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/26)\/((-1)\/(-12)). Let l = 509 - 507. Suppose 8*x - 5 = 10*x - 5*w, l*w = 2. Are x and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19500 and 32760.\nAnswer: 819000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 437*h - 818*h + 722 = -419*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 135597\/5 + -27119. Factor -18\/5*g - 6\/5*g**2 + 2*g**3 - f*g**4 + 0.\nAnswer: -2*g*(g - 3)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 2 + -6 + -4 - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8926302 millilitres in litres?\nAnswer: 0.0008926302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (28\/(-7))\/(3 + -2). Which is the biggest value?  (a) 0.3  (b) p  (c) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2456581 to the power of 1\/2, to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 99 - 101. Sort 2, -20, l.\nAnswer: -20, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrjrrrrmmrrjrr. Give prob of sequence rr.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) 0.4  (b) -2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 238*z - z**2 - 10 - 3 - 571*z + 281*z.\nAnswer: -z**2 - 52*z - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*1*(25 + 2). Let z = -10 + 14. Suppose z = f + 2. Solve -4*l - 10 = -f*n, 0 = -0*n - 5*n - 3*l - s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 23*t**2 - t + 52. Let h be b(23). Suppose c + h - 111 = 0. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 325 = -a, -2*a + 145 = 2*v + 15. Sort 2, -3, v, -5 in decreasing order.\nAnswer: v, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/12)\/(8393\/553938).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132 and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ajaajojajjjjjj. What is prob of sequence ajj?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l + 2. Let k be s(0). Suppose -2*f + 8 = -k. Let i = -104 - -937\/9. Which is the third smallest value?  (a) f  (b) i  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1621 or 1659?\nAnswer: 1659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 7:12 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-16)\/6*45\/(-30). Let r = a + 4. 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 second derivative of -613673375*r**5 - 2791*r - 58238?\nAnswer: -12273467500*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 11:53 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -32413 - -32415. Put -1\/6, x, 1\/2, 1, -1.9 in increasing order.\nAnswer: -1.9, -1\/6, 1\/2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*d + 28297 = 3*f - 42*d, 2*f + 2*d - 18878 = 0. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(2448) - sqrt(17)) + -1*sqrt(272).\nAnswer: 1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -5*d**2. Let i(r) = -10*r**2 + 2*r - 2. Let x(h) = 56*h**2 - 11*h + 11. Let q(g) = -22*i(g) - 4*x(g). Give 4*q(y) - 3*t(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -477*h + 7. Let w(p) = -951*p + 12. Calculate -9*v(l) + 5*w(l).\nAnswer: -462*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33412092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-12)*1*14\/(2940\/135).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.46 + -2.47. Let x = 0.4 + -4.4. What is the third biggest value in 0.1, 2\/7, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2 - 30641*g - 153180.\nAnswer: -(g + 5)*(g + 30636)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*u - 4 = -24*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22\/565091 or -1?\nAnswer: 22\/565091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2159*c - 69920 = 3679*c for c.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 0 + -2 + 2 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5426 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -2*s - 20 - 66, 5*m + 5*s - 145 = 0. Let q = -16 + m. What is the smallest common multiple of q and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131373 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k + 1. What is i(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -315742, -315745, -315748?\nAnswer: -315751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-370)\/111*672\/(-35). Suppose 0 = 3*v - 4*n + 2, 3*v + 0 = 3*n + 3. Let p = v + 2. What is the greatest common factor of w and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -702*p - 594. Calculate l(0).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**5 - 3*v**5 + 3*v**5 + v - v - 2*v**5 + (2 - 2 + 2*v)*(-v**2 + v**2 - 2*v**4) + 2*v**5 - v**5 - 3*v**5.\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.69*-22741.\nAnswer: 15691.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 g when three letters picked without replacement from cczzczezzzgzgzzzgee.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l. Let w(g) = -g**2 + 5*g - 4. Suppose 5*o - 20 = -0. Let j be w(o). Let a(y) = y + j*y - 3*y. Calculate c(a(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246323 is divided by 174.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 590581?\nAnswer: 1\/590581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 0.4  (b) 7\/3  (c) 4  (d) -1\/3  (e) 83  (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*h + 3*h = 31, 3*f + 2*h - 19 = 0. Suppose -y - 2*j = -0*j + 5, -5*y = j - 20. Suppose 0 = -14*i + 9*i + 5. Solve -f*o + y = -i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + 1299abc?\nAnswer: 1299abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllllxlllllllllllxl. What is prob of picking 1 l and 2 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -5*w**3 - 143433055*w**2 - 286866095*w - 143433045 = 0.\nAnswer: -28686609, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29 - -31.05. Let m = -0.05 + a. Let z = 1 - m. What is the third smallest value in 1\/2, -2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkbybbybybyykbbk. What is prob of sequence byk?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14120471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 195141*g**4*h + 102*g**3*h**3 - 397244*g**2*h**2 + 3*g**2*h + 67*g*h**3 wrt g?\nAnswer: 4683384*g*h + 612*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 13*b - 10. Suppose -5*i + 4*i = -12. Let y be w(i). Suppose -y*d + 6 + 34 = 0. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, r: 1, t: 11, o: 1}. Give prob of picking 1 r and 1 o.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-j**3 + 0*j**3 + 2*j**3)*((-5 + 1 + 3)*(0 - 1 - 1) + 30 + 326 - 45) to the form a*j**3 + z*j + u*j**2 + n and give a.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1157?  (a) 0  (b) -4  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 192, 392, 626, 912, 1268, 1712, 2262?\n\"Answer: 3*z**3 - z**2 + 182*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzx when three letters picked without replacement from {g: 9, x: 7, z: 2}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5901, -10904, -15907, -20910, -25913?\nAnswer: -30916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2\/8895 + -7118\/8895. Put -1\/6, d, -3, 6 in decreasing order.\nAnswer: 6, -1\/6, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 21\/2 of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-9) + (-128)\/(-24). Suppose 2*d = 0, -2*a + 397 = h*d - 707. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48 + 13 + -30 + -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 14, 36, 78, 146, 246, 384?\nAnswer: 566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of 8*s - 3 + 80\/3*s**3 - 640*s**2 - 5\/12*s**4. Find r such that y(r) = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-1\/5)*(((b\/(b*(b\/b**(-30))\/b))\/b)\/b)\/b)\/(b**(-7))**(-29) assuming b is positive.\nAnswer: b**(-1174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -12  (b) -7  (c) -2  (d) -3  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -60.1 + 60. Which is bigger: i or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 9:34 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from fffvfffffvfffvff?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z + 15. Suppose -3*f + 9 + 0 = 0. Calculate the remainder when f is divided by n(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 416 - 3333?\nAnswer: -2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 266572, -3, 51 in ascending order.\nAnswer: -3, 51, 266572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -4*d - g, -31531 = -3*d - 3*g - 31528 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5\/1619 + -173353\/38856. Let n = -7207319\/984 + 58593\/8. Find the common denominator of n and a.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2104692.592+-0.4\nAnswer: 2104692.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -214 + 114. Let d = -23 - m. Let b = d + 9. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*d + 5*g + 15, d - 477*g - 9 = -474*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 92.518 + -92.318. Let o = -28\/145 + -6\/29. Which is the nearest to 1\/2?  (a) s  (b) -13  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -8*s - 120*s**2 - 17 + 123*s**2 + 14. Let r(c) = -c. Let h(g) = 6*r(g) - w(g). Give h(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120112112002102 + 11?\nAnswer: -120112112002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/7, -118424, -8, 2\/5 in descending order.\nAnswer: 4\/7, 2\/5, -8, -118424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-15) + 14\/(-35). Let v(s) = n*s - 2*s + 1 + 18*s - 2*s. What is v(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4007 + 1241. What is the greatest common divisor of p and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c**2 - 75*c - 168. What is the remainder when 346 is divided by w(-34)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 58 = 42. Calculate the smallest common multiple of 18 and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = f - 0*f. Suppose -3 = l - f. Suppose 0 = -3*q + 12 - l. Solve 0*o - 4*g = 5*o - 3, 3*o - q = -2*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -104 - -107. Suppose -8 = -q + 3*i, -5*i = 4*q - 3 + 22. Let w be q*(8 + 4)\/4. What is the third smallest value in k, -0.3, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26990053.\nAnswer: 26990053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -4  (b) 2.57  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from ccpepppppppppp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 1 = 5*g - 21, 0 = 4*g - 5*k - 25. Solve -5*w + g*u + 20 = u, -5*w - 2*u = -25 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 75 and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 101\/166?\nAnswer: 101\/166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of 1\/24*c**4 + 0 + 1\/2*c**3 + 0*c + 4*c**2. Suppose 287*u - 235*u + 312 = 0. Determine q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -7*t**4\/4 - t**3 + 5*t**2\/2 + 6*t - 1777. Let q(a) = -6*a**3 - 2*a**2 + 4*a + 5. Determine 6*q(k) - 5*v(k).\nAnswer: -k**3 + 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j + 3. Let t be w(-2). Which is smaller: -3 or t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0205821515 to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 330752 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2*u**2 - 2 + (-3 + 3 - 2)*(-2*u**2 + 0*u**2 + 0*u**2) - 337*u**2 - 85789*u + 85789*u.\nAnswer: -335*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.2  (b) 4  (c) -0.4  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-84)\/105)\/((-3)\/(-5)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -303223 - 321?\nAnswer: -310210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 7*g**2 - 6. Let v(q) = q**3 + 6*q**2 + q + 5. Let l be (-2)\/8 - (1044\/48 + -16). Determine l*t(z) - 7*v(z).\nAnswer: -z**3 - 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1775534?\nAnswer: 2, 467, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2942.78 - -2890. Let b = t + 52. Let o = 0.02 - b. What is the closest to o in 2, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1372, -807, 722, 3695, 8592, 15893, 26078?\n\"Answer: 80*i**3 + 2*i**2 - i - 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -3*v**4\/2 + 39*v**3\/2 + 585*v**2 - 1932*v - 2496 = 0.\nAnswer: -16, -1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1050)*-5)\/(-1*(-6*sqrt(30)\/sqrt(5) + sqrt(6))).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 40257767 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2339 - -2651. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -78363997 at least as big as -78363996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 146224413 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**3\/(q*q\/((q\/((q*q*q**(-1))\/q))\/q*q*q)))**(-34) assuming q is positive.\nAnswer: q**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1588987\/2332260 + 3\/17276. Find the common denominator of r and -38\/63.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 6:09 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-4))\/(z**(4\/5)*z)*(z*z**(-2\/7))**(-40) assuming z is positive.\nAnswer: z**(-888\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 3, -27 in descending order.\nAnswer: 4, 3, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-11))**(1\/6) assuming m is positive.\nAnswer: m**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 288\/20 - (-90)\/150. Let x be -6*(-1 + 7\/(-3)). Suppose x*w = 15*w + z. Calculate the greatest common factor of 12 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 391 is divided by 149.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 46 + -46. Suppose -7 = -4*j - 15. Sort a, -5, j in decreasing order.\nAnswer: a, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 3 - (-6 + 50)) + 0 + -15?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46, -93, -138, -181?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**4\/j)**(-50)*j**(2\/13)\/(j\/j**(-2\/3)) assuming j is positive.\nAnswer: j**(-5909\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33535937.\nAnswer: 33535937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7992 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 383266 = -16*m - 5*p + 383629, 4*p + 96 = 4*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-12)\/(-2))*1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 282 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**5 - 15*j**4 - 12*j**3.\nAnswer: -3*j**3*(j + 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.5 - 2. Let v be (((-62)\/(-93))\/(8\/(-6)))\/(45\/(-12)). Which is the third biggest value?  (a) y  (b) v  (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m**2 - 70*m - 352. Determine b(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-20) - -5) + (-5)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 12*t**2. Let h(x) = 127*x**2. Calculate s(h(d)).\nAnswer: 193548*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/2 - 1711*s\/2 - 176520.\nAnswer: -(s + 240)*(s + 1471)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.562376818 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d. Let o be (-4 - 4) + 66*18\/108. Let l(a) be the second derivative of 0*a**2 + 1\/2*a**o - 8*a + 0. Determine p(l(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 1791*i**2 - 503270*i - 302. What is v(281)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1770 and 1416.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.481 + -60.519. Let o = d + 61.51. What is the biggest value in 1\/6, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from wjijwzjmjjwzwijjm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -34, -60, -96, -142?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/5 - 844*t**2 - 179004*t\/5.\nAnswer: t*(t - 4262)*(t + 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 7*y**2 - 4*y - 5. Let w be z(6). Suppose -t - 4 = -3*t, -125 = -5*n + 5*t. Calculate the remainder when (w\/(-2))\/(6\/168*-2) is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160160652 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 188550888 + -105?\nAnswer: 188550783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + -5 - (1 - 1)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -25251a (base 11) in base 3?\nAnswer: -202020202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*c = -403*c - 732*c - 19344 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 618 - 630 - (-5 - (1 - 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 33 = -5*j, 4*j - 4*x - 28 = -8. What is the highest common factor of 81 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 169904 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6 - 3)*4\/3. Suppose 485 = v - 0*v + x*b, 4*v - 4*b = 1860. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2 - 6 + 3)*(-p + p - p) + 2*p - 10 + 10)*(3*p**2 + 2*p**2 + 0*p**2) in the form j*p + w*p**3 + i*p**2 + y and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 15541522, 15541518, 15541514, 15541510, 15541506?\n\"Answer: -4*f + 15541526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2. Let m(g) be the second derivative of g**4\/12 + 59*g**3\/6 + 77*g**2\/2 + 63*g. Let n(p) be the first derivative of m(p). What is n(y(t))?\nAnswer: -2*t**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1039824 and 2160?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -3 + 0 + 3*p + 1 + 4. Let m be -1 + (0 - (-2 - 2)). List the prime factors of r(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-5)*z*(z\/(z*z**(1\/4))*z)\/z)\/(z*z*z**(-7)*z**(-2\/21)) assuming z is positive.\nAnswer: z**(995\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 44*h - 77. Let z be k(-9). Let t = z - -713. Does 41 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s + 3*s + 3*s)*(0*s**4 - 2*s**4 + s**4).\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 + 2*s. Let b(o) = o**2. Suppose -4*y + 28 = 2*c, 4*c - 5*y = -3*y + 6. Give c*b(h) - l(h).\nAnswer: 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5 - ((-16)\/8 + 6). Let o(q) = -13*q**3 + 1. Calculate o(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 + (-88)\/(-12))*3. Let o(b) be the second derivative of b**3\/6 + 11*b**2\/2 + b. List the prime factors of o(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*b - 3200 = -3*b + 113*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13 + 11 - 4*i + 22*i + (i - 3*i + 0*i)*(-1 + 3 + 0).\nAnswer: 14*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 145.85 + -149.85. Which is the closest to -5\/18?  (a) -3  (b) -0.01  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.2, -4, -0.2, -0.1, 3, -240?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**3\/13 - 1004*m**2\/13 - 8890*m\/13 - 7888\/13 = 0. What is m?\nAnswer: -493, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.3  (b) -1  (c) -2  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*a + 0*a + 2873*a**2 - 1478*a**2 to the form z + t*a**2 + l*a and give t.\nAnswer: 1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((96\/80)\/(4\/(-10)))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1476 and 468?\nAnswer: 19188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2640 and 896?\nAnswer: 147840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 15143880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**2 - 80*y + 176.\nAnswer: -4*(y - 2)*(y + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 0. Let q = f - -6. Which is the second biggest value?  (a) -3\/8  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 5953\nAnswer: 3\/5953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1704)\/639)\/((-2)\/(-9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 424 - 3*f**2 + 2*f**2 - 424.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1071279888.506 and -0.1.\nAnswer: 1071279888.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -5*q**3 - 37*q**2 + 18. Let p(m) = -2*m**3 - 19*m**2 + 8. Calculate 9*p(j) - 4*w(j).\nAnswer: 2*j**3 - 23*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**2 + f - 2. Let z be u(-3). Suppose -z*c + 24 = -9*c. Suppose c*a = -a + 350. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13400344 - 13400481.00087. Let m = h + 137. Round m to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 1:27 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.2597207 rounded to two dps?\nAnswer: -2.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 32459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 151654 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 10*j**3 - 8*j**2 - 40*j - 180. Calculate o(7).\nAnswer: 2578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15092?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -371 in -11.7, 0.168, 0.4?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - 4*s. Let o be n(6). Let m = o - 49\/4. Suppose -8*f = -27*f - 38. Which is the second biggest value?  (a) m  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24564 divided by 92?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 16 + 1)*(-2*k + 2*k - 2*k**2)*(5 - 5 + 2*k).\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in 3, 1\/8, 0.654?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 80 = 12. Suppose 0 = 2*f + 3*p + p - h, 0 = 2*f + p - 43. Which is greater: f or 22?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = -4*i, 7*c - 4*c - i = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/90 and (7\/84 + (-35)\/441)*-41?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 454, 455, 466, 493, 542, 619, 730?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 427630412 times 0.3?\nAnswer: 128289123.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18 - 3\/8*b**2 - 33\/4*b.\nAnswer: -3*(b - 2)*(b + 24)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7575210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -360.31.\nAnswer: -363.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/5  (b) -0.2  (c) -5847\/124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 9  (b) -0.3  (c) 5  (d) -105  (e) 172  (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*o**4 - 2857071*o**2 - 122097995 wrt o.\nAnswer: -48*o**3 - 5714142*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -17*l + 54*l - 5*l**2 - 16*l - 21*l. Let o(v) = 15*v. Let w(c) = 1139*c. Let g(m) = -153*o(m) + 2*w(m). Determine t(g(z)).\nAnswer: -1445*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 1424*t**3 - 7*t**2 - 3*t. Let r(i) = 1899*i**3 - 9*i**2 - 4*i. Determine 9*b(k) - 7*r(k).\nAnswer: -477*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 8*b - 4*v = -12, -12 = -5*b - 2*v. Let n be ((-2)\/5)\/((-2)\/10). Calculate the remainder when b + 0*n\/6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l - 9. Let z be m(-4). Let q(c) = -13*c + 0*c**z - 15*c**2 + 7 + c**3 + 24*c**2 - 1. What is the units digit of q(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -5*i + 90, i - b = 4*b + 39. Let g = 3 + -1. Suppose -4 = g*h - i, 0 = -3*t - 4*h + 26. What is the remainder when 5 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 + 4*z**2 - 6*z - 2. Let w = 2 - -12. Suppose 5*b + 11 = -w. Determine d(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 3592 = 8*u, -12*u - 4*s + 1336 = -9*u. Solve 32*l - 160 = -u for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -14, -17, -32, -65, -122, -209, -332?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*s + 47 = -284 - 93 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/(((-6)\/4 + 3)\/3). Solve 3*v = m - y, -5*v + m = -0 + 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -15, -2*f - 2 + 8 = -2*d. Is (0 - (293 + f))*(-2)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 530 + -482 + (-3 - 4)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -64051\/23 + 2785. Which is greater: c or -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 645 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kptp when four letters picked without replacement from {t: 2, p: 8, k: 2}?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/9 + 214\/9. Let j(d) = -d**3 + 15*d**2 + 55*d + 24. Let h be j(-4). Calculate the greatest common factor of h and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 235 - 232. Solve 4*m = -5*p + 10, -3*m + 4*m = -p + f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 336 + 36*a**2 - 3\/2*a**3 + 747\/2*a.\nAnswer: -3*(a - 32)*(a + 1)*(a + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2*a**2 + 3*a. Let o be (-1 - -6)*26*(-6)\/20. Let s = -37 - o. Calculate x(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1917 divided by -1?\nAnswer: -1917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*q + 46 = 0, -3*q + 60 = 4*t - 7*q. Suppose 10 = -t*l + 21*l. Suppose -3*g + 2*w + 2 - 10 = 0, 0 = g - w + 4. Solve 2*z + l*z + 4 = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159*a**3 + 869*a**3 - 514*a**3.\nAnswer: 196*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 7*o**2 + 3*o + 19. Give c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 135 = 4*j. Let f = -23 - j. Suppose -5*x - 4*c - 18 = -3*x, 0 = 5*x - 3*c - 20. What is the third biggest value in x, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44 - 37. Solve q*y - 8 = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 2. Let q(v) = -2 + u - 2*v. Let l(b) = -2*b**2. Give l(q(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-33 - 127\/(-2)) + -30. Determine v, given that -u*v + 1\/6*v**5 + 2\/3*v**2 - 2\/3*v**4 + 1\/3*v**3 + 0 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -49 - (-32 - -13) - (3 - -8)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 2\/2075, -57, 2?\nAnswer: 2\/2075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1092717 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g**2 - 193*g + 2629. Determine v(-77).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00067430616 to 6 decimal places.\nAnswer: -0.000674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 70 - 98. Let h = c + 23.1. Let a = h - 0.1. What is the nearest to -1 in a, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 4225860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of -f**4\/24 - f**3\/3 - 3*f**2. Let j be g(3). Let t = -4.01 - -0.01. Which is the closest to 1\/2?  (a) t  (b) j  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 57*(-48)\/180 - 2\/(-10) - -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37*193.979.\nAnswer: 7177.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, v: 1, u: 3}. Give prob of sequence utv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 355 - 66. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 3*a = -9*n - 192, 4*n + 408146*a + 84 = 408150*a for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 668231.8t to nanograms.\nAnswer: 668231800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 117*t**2 - 121*t**2 - 16*t + 237*t**2 to the form g*t**2 + b + v*t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26295823.9999957 + 26295833. Let n = -54 + 45. Let s = n + f. What is s rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-36))\/(((-121605)\/90)\/121).\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 240376 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of p**7\/105 + p**6\/30 - p**5\/10 - p**4\/3 + 4*p**3\/3 - 2*p**2 + 2*p. Let r(t) be the first derivative of u(t). Factor r(x).\nAnswer: 2*(x - 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/699747 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - k - 4)*(15*k + 8*k + 2*k)*(309*k - 674*k + 477*k).\nAnswer: -2800*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 437 a factor of 1070906082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 51*c**2\/2 - 28*c + 14. Is v(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4254 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20592388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 448848883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1105*s + 77 - 35 - 42.\nAnswer: 1105*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + z + 4)*(-71*z + 18*z - 27*z)*(2 + 51*z**2 - 73*z**2 + 50*z**2).\nAnswer: -2240*z**4 - 160*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12735 + 11516. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -2*z + 5*g, 5*z - 2*g = -12 - 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 5*s = 23, -4*c + c = 4*s + 7. What is the first derivative of -d**4 - c + 5 - 3 wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -617, 4, -2, 2, 1, 10.\nAnswer: -617, -2, 1, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-3))**(-2\/85)*(x**(-14))**(-18\/5) assuming x is positive.\nAnswer: x**(858\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.33 - 0.33. Suppose 0 = h - 3*h - 6. What is the closest to -0.1 in 0.2, h, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2 + 15649425*j**4 - 4586*j**2 + 0*j - 15649619*j**4 - 17*j**5 + 0*j wrt j.\nAnswer: -1020*j**2 - 4656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 137861, 137917, 138043, 138263, 138601, 139081, 139727?\nAnswer: 140563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*q - 1 + 1. Solve 2 + q = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, -24, -7 in ascending order.\nAnswer: -28, -24, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 5, 18, 51, 110, 201?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124*v - 12 = s + 119*v, -2*s - 3 = -3*v. Solve -s*o - 2 = -2*i, -o - 24 = -5*i - 3*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28150\/57 - 85156714\/172425. Find the common denominator of 97\/550 and g.\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.8626 + -2.6826. Sort -0.17, n, 10 in descending order.\nAnswer: 10, n, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 16*o**2 + 15*o. Let l be b(-17). Let u = 73 - l. Suppose -5 = -q + 2*q, -3*z - 3*q + u = 0. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -12*w + 2. Let k be o(-1). Solve -3*a + 2 - k = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -1.96, 3\/8, -0.06, -1\/3, -69.44?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-15) + (-3 - (-204)\/27) + (-1576)\/(-14184)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6075530 is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -39340, -154188, -345602, -613582, -958128?\n\"Answer: -38283*o**2 + o - 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 343*u - 3082. Let q be p(9). Let n = -643\/5 + 128. What is the second biggest value in n, q, -7, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 116816*b - 5139898. Determine l(44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*s**3 + 158*s**2 - 143*s + 7.\nAnswer: 36*s + 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l. Let b(p) = 2 - 4*p + 36*p - 33*p. Give d(b(f)).\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -27572 divided by -304?\nAnswer: 6893\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 512 a factor of 231424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 7*t. Let d(z) = 9*z - 11. Let g(y) = 3*y - 4. Let f(j) = -4*d(j) + 11*g(j). Let r(b) = 4 + 2*b - 1 + 1. Let x be r(-4). What is x*u(w) - 9*f(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*g**2\/7 + 16098*g\/7 - 140176\/7 = 0 for g.\nAnswer: -8761\/89, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) - -1*(sqrt(325) + (sqrt(325) - (sqrt(325) + 2)))**2) + sqrt(325) + (sqrt(325)*-3 + sqrt(325))*4 + -3.\nAnswer: -50*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -32221132 (base 4) to base 14\nAnswer: -17c18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nncnhnnsycunnnnnshc. Give prob of sequence nuh.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 4) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, f: 1, r: 2, s: 6}. Give prob of sequence rs.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 580a (base 11) in base 3?\nAnswer: 101110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccq when three letters picked without replacement from {p: 8, m: 1, r: 2, q: 2, c: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y - 9. Let c be (15 + 0)*(-2)\/5. Let u be a(c). Find the third derivative of 4*w**3 + 4*w**2 - 3*w**2 - u*w**3 wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2046 divided by 11592?\nAnswer: 341\/1932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 54 + -162. Let i = t + 106.78. Let l = 2.88 + i. What is l rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 5*m + 4*r, -1 = -2*m + 3*r - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*l**3 - l**3 + 1 + 4 wrt l?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165663231 to the power of 1\/2, to the nearest integer?\nAnswer: 12871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rnuurnunuunuu. Give prob of picking 4 n.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, 5, 2, 3 in decreasing order.\nAnswer: 25, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1383957*0.9\nAnswer: 1245561.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (-4 - (4 + -4))) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 n when four letters picked without replacement from {c: 4, n: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12145*b**3 + 34*b - 14*b - 8*b - 8 - 11*b.\nAnswer: 12145*b**3 + b - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*y**2 - y**2 + 4*y**2)*(45599*y**2 + 14921*y**2 + 44*y - 21*y - 23*y + 216*y**2) to the form r*y**2 + z + t*y**3 + f*y**4 + l*y and give f.\nAnswer: -60736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 3*b - 1834591, 0 = -7*q + 12*q + b - 1834603. Is (q\/80)\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*o = -33*o + 316. Round o to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43030 is divided by 42?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -80.413 rounded to the nearest integer?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -0.429?\nAnswer: -0.429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1137 - -1140. Let u = 14 + -13. Let z be (3 - u)\/2*0. Solve x*s + 2*s = z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ecceecee. Give prob of sequence ce.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010111 - -10000111101000010100?\nAnswer: 10000111101001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 804 + -2b5?\nAnswer: 51c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-11080)\/(-84) + 4\/42. Let l = -128 + i. Calculate the smallest common multiple of l and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -13\/6*z**3 + 147\/2*z**2 + 0 - 106*z. Differentiate c(y) wrt y.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-174)\/(-32) - 0) + (20 - 20) and -121\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 292, 577, 862?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4349.\nAnswer: 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4938653360?\nAnswer: 2, 5, 41, 1505687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1587, 1594, 1603, 1614, 1627, 1642, 1659?\nAnswer: 1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (11 - 23) + 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 73\/((-3650)\/475)*4\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 6*u**2 + 5*u + 5. Let t be q(5). Let s be (-2 - 0) + 15\/8. Let b = -172 + 1373\/8. What is the closest to -0.1 in t, s, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - 4 - (-10 + 40 + -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132942 is divided by 1899?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*3\/9*1\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8085554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -15087 plus -5204543?\nAnswer: -5219630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*z**2 - 4*z**3 - 1 + 1 - 2 + 5 + 2*z**3 + 2*z**4 as q*z**2 + j*z**4 + f*z**3 + y*z + b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1307499 and 11371.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 132 + -20. What is the remainder when 33 is divided by (-2)\/(-8) + 1876\/k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -2*c - 2*c - 648, -i - 126 = 2*c. Let y = i + 484. Suppose y + 298 = 5*w. What is the greatest common divisor of 52 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 123, 286, 515, 810, 1171?\nAnswer: 1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1.1  (b) -1\/2  (c) -0.2  (d) 138  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 74, 152, 238, 338, 458?\n\"Answer: h**3 - 2*h**2 + 77*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*q, -26 = -g - 4*q - 0. Suppose g = -2*t - t. What is the remainder when (-286)\/t + (-4)\/6 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -322, -320, -318, -316, -314?\n\"Answer: 2*a - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 361*x + 105 = 376*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 79 - 78. What are the prime factors of -1 + 3 + h + 124?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -4*l - 1. Let k be h(-1). Let i(a) = -8*a - 72. Let z be i(-9). Put z, 4, k in decreasing order.\nAnswer: 4, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 3*j + 3. Let g be p(-3). Let i(a) = 3*a + 9. Let q be i(4). Let s = q + g. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l = -2*c, 4*l + 131*c = 130*c + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*o - 9. Factor 4*j - 2*j**2 + o*j**5 + 0*j**5 + 2*j**4 - 5*j**3 - j**3 - 2*j**5.\nAnswer: 2*j*(j - 1)**2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(5\/10*-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59973 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 5 + 10*s**2 - 1.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32451774.\nAnswer: 2, 3, 139, 167, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -t**8\/1680 + t**5\/60 + t**3\/3 + 1. Let a(x) be the third derivative of p(x). Find the second derivative of a(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - -10 - (5 + (7 - 9 - -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 2. Suppose -3*u + 8 = -n. Let j(m) = -2*m**3 + 2*m**3 + 5*m**2 + 2*m - m**3. Calculate j(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.15, -2\/7, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 22149024 and 23517.\nAnswer: 22172541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -14*r + 11. Let y(d) = 15*d - 12. Let f(j) = -5*a(j) - 4*y(j). Let x(t) = 10*t - 6. Let s(v) = 6*f(v) - 7*x(v). Let i(m) = -m. Calculate i(s(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 4. Suppose -4*g + z = 11 - 3, 3*g - z = -5. Let j be (g\/(-42))\/(2\/(-16)). Which is the third biggest value?  (a) 1\/11  (b) j  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u + 4014 = 4248 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -21*b - 3. Suppose -4*g + 1 = 4*u - g, g - 15 = -5*u. Let d be a(u). Let v = -58 - d. What is the remainder when 57 is divided by v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12 + 12)*((-15)\/2 + 7). Sort -5, z, -4, 1 in descending order.\nAnswer: 1, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**4\/3 + 204313*v**3\/3 + 19018407*v**2 + 1769248089*v + 54855002448 = 0. Calculate v.\nAnswer: -93, 204592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 885 and 1239?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 8*d**2 + 3*d - 1. Let a(v) = -5936*v**2 + 15*v - 5185. Let p(n) = -a(n) + 5*t(n). Differentiate p(r) wrt r.\nAnswer: 11952*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3*d - 1254 = 4*q, 0 = 5*q + 2*d + 1239. Let y = q - -259. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from upgykuu. What is prob of picking 1 u, 1 y, 1 g, and 1 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 717.5 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-21)\/60)\/((-44)\/22). Let f(m) be the third derivative of d*m**6 + 0*m + 1\/4*m**4 + 0 + 0*m**3 - 5*m**2 - 9\/20*m**5. Suppose f(h) = 0. Calculate h.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -544 + 547. Suppose -3*j - 29 + 22 = -2*t, 0 = 2*j - t + u. Let i(o) = o**3 + 6*o + 2. Let g(z) = -1 - z + 2*z + 2. Give j*i(b) - 4*g(b).\nAnswer: b**3 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2583*z + 9133 - 63376 = 0 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 38568 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(-2\/3))\/w)**(-2)\/(w**(-3\/7)*w**5))\/((w*w\/(w\/w**(-1))*w*w*w)**(-19))**(2\/27) assuming w is positive.\nAnswer: w**(-106\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a - 2. Let l be h(4). Let m = -5 + 6. Let q be 2\/l + m - -5. Solve 0 = 2*j - 1 + q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21 - 23. Is l at least -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*t + 34 + 261 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49)\/(-392)*(-3 + 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {c: 15, z: 3}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 33.78082 millimeters?\nAnswer: 33780820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -26. Suppose 0 = -2*m - 0*m + 56. Let y = m - a. What is the remainder when 17 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*h + 7920 - 6120 = 0 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23267 + -23112. What is the highest common divisor of 1209 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n + 4*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 - 33 - 76*p + p**2 + 73.\nAnswer: p**2 - 76*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.239 - 2.42. Let r = 0.218 - -0.117. Let o = r + c. Round o to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 63*q**3 - 2*q**2 + 18*q. Let i(d) = 127*d**3 - 4*d**2 + 33*d. Give 6*i(s) - 11*p(s).\nAnswer: 69*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eea when three letters picked without replacement from paepeep.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 - 3 - (1 + -7). Suppose 5*l - m = 26. Let o(x) = 6*x**2 + 6*x + 7. Is o(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/9 + 1324*r\/9 + 1322\/9.\nAnswer: 2*(r + 1)*(r + 661)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -6\/1013, 2\/25, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1229519497 to the power of 1\/3, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = 31*f - 622 + 782, -4*n + 9*f = -65 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4475 - -4473. Suppose -2*r + t = 15, 3*t = r + 4*t + 9. Let s = -6 - r. Sort 0, s, b in increasing order.\nAnswer: b, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18*k - 71 - 29 - 8 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j**2. Let w(g) = -8*g**2 + 10*g**2 - 4*g**2 + g**2. Give r(w(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 11*f - 9. Let i be -6*((-3)\/(-1))\/(-9). Let d = 0 + i. Let r(j) = -2*j + 0*j - j + 4 - d*j. What is 13*r(v) + 6*y(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3094)\/204 + 16)*3\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 167904, 335829, 503754, 671679, 839604, 1007529?\n\"Answer: 167925*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -7*f**3 + 835*f**2 - 15*f - 3. Let q(b) = 4*b**3 - 418*b**2 + 9*b + 2. What is -3*m(v) - 5*q(v)?\nAnswer: v**3 - 415*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -33454.39465 to the nearest ten.\nAnswer: -33450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70750?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + p + 1. Let c(o) = -8*o**2 + 2*o + 4. Let g(n) = -n - 1. Let m be g(4). Let l = m + 4. Let h(t) = l*c(t) + 6*w(t). Factor h(x).\nAnswer: 2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 40  (b) -1\/7  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 636 and 368084?\nAnswer: 58525356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**2\/4 - 6931*t\/4 - 2658147 = 0. What is t?\nAnswer: -4639, -2292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/190 and 61\/439166?\nAnswer: 2195830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45468 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 - 148*b - 1319. What is a(-10)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 11:12 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1197400000 rounded to the nearest one million?\nAnswer: -1197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1566 - 59*s + 1566)*(5 + 1 + 0)*(0 + 2 - 5).\nAnswer: 1062*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00011753 to 7 decimal places.\nAnswer: -0.0001175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 2554.24 to the nearest 10.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8764467 months in centuries?\nAnswer: 0.00073037225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.18 times 1462?\nAnswer: 57281.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 54638775 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60, -152, -280, -444?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q = -10*q - 10. Let d(l) = -q - 1 - 3 + 2 + l. What is d(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 62 times -4\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 237 = -5*n, 5*x - 13 = -4*n + 232. Suppose 0*j + j = -3*p + x, -2*j = -p - 134. Suppose -3*c + j = -169. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 5) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 3, u: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 18*q. Let u(k) = -k**2 - 7*k + 1. Let o be u(-6). Let j = o + -1. Let x(g) = 0*g**2 - g**2 + j*g - 6*g. Calculate x(h(y)).\nAnswer: -324*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15733 divided by -2655.\nAnswer: 15733\/2655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 + 6*c - 37. Suppose 0 = 189*i - 190*i - 11. What is the remainder when 267 is divided by q(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 12 + 12. What is the common denominator of (-125)\/(-6) - t\/12 and 43\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 7:16 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2 + 804*p + 1592.\nAnswer: 4*(p + 2)*(p + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 147 + 432. Let b(p) = 389*p - 194*p - k*p + 17. Determine b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - a**2 + 16. Let r be h(0). Suppose -r + 0 = 3*y - j, 23 = -5*y - 2*j. Let s = -951 + 950. Put -2, s, y, 1 in decreasing order.\nAnswer: 1, s, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9667\/14487 + -3\/4829. Find s such that -4\/3 - 2*s - j*s**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75274795 - -0.064.\nAnswer: 75274795.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 59928213241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9d01 (base 14) to base 2.\nAnswer: 110101001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h**2 - 394794*h = 0.\nAnswer: -131598, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 - 12.9. What is the biggest value in -0.3, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from axaxaxxxxxxxxxaxxxxa. Give prob of sequence xa.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 108\/5, 3\/4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1212000 (base 3) to base 13.\nAnswer: 7cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5, y: 1, s: 1, n: 1, i: 3}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 - 12\/(-4) - 19. Let p be m*1*4\/(-6). Suppose -2*b - b + p = 0. What is the remainder when b is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -125*f**4 + 475*f**3 - 345*f**2 - 455*f + 490 = 0. What is f?\nAnswer: -1, 7\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 81, 172, 255, 324, 373, 396, 387?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -34, 1, -424678 in ascending order.\nAnswer: -424678, -34, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.24317 rounded to 3 decimal places?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 93, 1, -2, -1, 159.\nAnswer: -2, -1, 1, 2, 93, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*y - 58*y - 4 + 4.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -6. Let d(b) = -3 + 10*b**2 + b**3 + b + 12*b**2 - 18*b**2 + 0. Calculate d(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6484, -6478, -6464, -6436, -6388, -6314?\nAnswer: -6208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 122503889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1*107109\nAnswer: -107109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 5*y - 32845 - 42040, 0 = 5*t - 4*y - 74885. List the prime factors of t.\nAnswer: 17, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -10141.2, -0.5, 0, 3\/8, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*c**4*m - 3*c**4 - 29*c*m**2 - 2*m**2 - m - 318 wrt c.\nAnswer: 16*c**3*m - 12*c**3 - 29*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -122255 (base 14) to base 5\nAnswer: -124324421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6209111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 164898, 329800, 494702, 659604, 824506, 989408?\nAnswer: 1154310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 602 + -599.1. Let l = 0.199 + 8.701. Let h = l - n. Is 0.1 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 484 + 484 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*r + 44*r**3 + 230*r - 71*r - 56*r - 60*r.\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39b5 (base 13) to base 2.\nAnswer: -10000001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173551 is divided by 43307?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of -l**4\/24 + 5*l**3\/6 - 2*l**2. Let a be (-50 - -2)*(-13)\/78. Give o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0523931779 to 5 dps.\nAnswer: 0.05239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*i - 2*i + 4*i)*(2*i**4 - 2*i**4 - 2*i**4).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, s: 1, j: 3}. What is prob of sequence kkj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 187*k**4 + 391*k**2?\nAnswer: 4488*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c. Let i be (3 + (-6 - -3))\/(-1). Let p(j) be the first derivative of i*j + 2 + 1\/2*j**2. What is x(p(l))?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = 16 + 8. What is the remainder when (-1)\/6 - 145\/k is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((-1 + (sqrt(264)\/(2*sqrt(11) - sqrt(11)))\/sqrt(12))**2 - (2*sqrt(288) + 0 - (sqrt(288) + -2 + -2)**2)).\nAnswer: -122*sqrt(2) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3263\/3 + -1088. Let n = 9 - 9.4. What is the closest to -1 in d, n, -2\/23?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mxxrrrrmffrrexxr. What is prob of sequence re?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 3*o = -15, 0*o - 6 = -2*o. Let t be (-21)\/(-4) - (-2)\/y. Put 3, -5, t in descending order.\nAnswer: t, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -8*d - 211. Calculate q(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}